TSTP Solution File: GEO111+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : GEO111+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 : n007.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 05:07:11 EDT 2022

% Result   : Theorem 55.22s 55.43s
% Output   : CNFRefutation 57.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   45
% Syntax   : Number of formulae    : 2644 (1016 unt;  27 typ;   0 def)
%            Number of atoms       : 24886 (7115 equ;   0 cnn)
%            Maximal formula atoms :   12 (   9 avg)
%            Number of connectives : 55986 (10627   ~;10084   |; 314   &;34910   @)
%                                         (  20 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  27 usr;   6 con; 0-4 aty)
%            Number of variables   : 9177 (   0   ^9157   !;  20   ?;9177   :)

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

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

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

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

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

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

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

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

thf(tp_sK10_SY68,type,
    sK10_SY68: $i > $i > $i ).

thf(tp_sK11_P,type,
    sK11_P: $i > $i ).

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

thf(tp_sK13_P,type,
    sK13_P: $i > $i ).

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

thf(tp_sK15_C1,type,
    sK15_C1: $i > $i > $i ).

thf(tp_sK16_SY69,type,
    sK16_SY69: $i > $i > $i ).

thf(tp_sK17_Q,type,
    sK17_Q: $i > $i > $i > $i ).

thf(tp_sK18_P,type,
    sK18_P: $i > $i > $i ).

thf(tp_sK1_C,type,
    sK1_C: $i ).

thf(tp_sK2_SY62,type,
    sK2_SY62: $i ).

thf(tp_sK3_SY65,type,
    sK3_SY65: $i ).

thf(tp_sK4_SY67,type,
    sK4_SY67: $i ).

thf(tp_sK5_Cpp,type,
    sK5_Cpp: $i > $i > $i > $i > $i ).

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

thf(tp_sK7_C,type,
    sK7_C: $i > $i > $i ).

thf(tp_sK8_Q,type,
    sK8_Q: $i > $i > $i ).

thf(tp_sK9_C1,type,
    sK9_C1: $i > $i > $i ).

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

thf(1,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(2,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(3,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(4,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(5,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(6,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(7,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(8,axiom,
    ! [C: $i] :
    ? [P: $i] : ( inner_point @ P @ C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

thf(9,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(10,axiom,
    ! [C: $i,C1: $i] :
      ( ( ( part_of @ C1 @ C )
        & ( C1 != C ) )
     => ( open @ C1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

thf(11,axiom,
    ! [C: $i] :
      ( ( open @ C )
    <=> ? [P: $i] : ( end_point @ P @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn) ).

thf(12,axiom,
    ! [C: $i] :
      ( ( closed @ C )
    <=> ~ ? [P: $i] : ( end_point @ P @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn) ).

thf(13,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(14,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(15,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(16,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(17,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(18,conjecture,
    ! [C: $i,P: $i,Q: $i,R: $i] :
      ( ( between_c @ C @ P @ Q @ R )
     => ( ( incident_c @ P @ C )
        & ( incident_c @ Q @ C )
        & ( incident_c @ R @ C )
        & ( P != Q )
        & ( Q != R )
        & ( P != R ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_1) ).

thf(19,negated_conjecture,
    ( ( ! [C: $i,P: $i,Q: $i,R: $i] :
          ( ( between_c @ C @ P @ Q @ R )
         => ( ( incident_c @ P @ C )
            & ( incident_c @ Q @ C )
            & ( incident_c @ R @ C )
            & ( P != Q )
            & ( Q != R )
            & ( P != R ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[18]) ).

thf(20,plain,
    ( ( ! [C: $i,P: $i,Q: $i,R: $i] :
          ( ( between_c @ C @ P @ Q @ R )
         => ( ( incident_c @ P @ C )
            & ( incident_c @ Q @ C )
            & ( incident_c @ R @ C )
            & ( P != Q )
            & ( Q != R )
            & ( P != R ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(21,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)],[1]) ).

thf(22,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ! [P: $i] :
              ( ( incident_c @ P @ C )
            <=> ( incident_c @ P @ C1 ) )
         => ( C = C1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(23,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ? [P: $i] : ( meet @ P @ C1 @ C2 )
         => ? [C: $i] :
              ( C
              = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(24,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)],[4]) ).

thf(25,plain,
    ( ( ! [C: $i,P: $i] :
          ( ( end_point @ P @ C )
         => ? [Q: $i] :
              ( ( end_point @ Q @ C )
              & ( P != Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(26,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)],[6]) ).

thf(27,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)],[7]) ).

thf(28,plain,
    ( ( ! [C: $i] :
        ? [P: $i] : ( inner_point @ P @ C ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(29,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)],[9]) ).

thf(30,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( part_of @ C1 @ C )
            & ( C1 != C ) )
         => ( open @ C1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(31,plain,
    ( ( ! [C: $i] :
          ( ( open @ C )
        <=> ? [P: $i] : ( end_point @ P @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(32,plain,
    ( ( ! [C: $i] :
          ( ( closed @ C )
        <=> ~ ? [P: $i] : ( end_point @ P @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(33,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)],[13]) ).

thf(34,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( inner_point @ P @ C )
        <=> ( ( incident_c @ P @ C )
            & ~ ( end_point @ P @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(35,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)],[15]) ).

thf(36,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)],[16]) ).

thf(37,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)],[17]) ).

thf(38,plain,
    ( ( ! [SY62: $i,SY63: $i,SY64: $i] :
          ( ( between_c @ sK1_C @ SY62 @ SY63 @ SY64 )
         => ( ( incident_c @ SY62 @ sK1_C )
            & ( incident_c @ SY63 @ sK1_C )
            & ( incident_c @ SY64 @ sK1_C )
            & ( SY62 != SY63 )
            & ( SY63 != SY64 )
            & ( SY62 != SY64 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[20]) ).

thf(39,plain,
    ( ( ! [SY65: $i,SY66: $i] :
          ( ( between_c @ sK1_C @ sK2_SY62 @ SY65 @ SY66 )
         => ( ( incident_c @ sK2_SY62 @ sK1_C )
            & ( incident_c @ SY65 @ sK1_C )
            & ( incident_c @ SY66 @ sK1_C )
            & ( sK2_SY62 != SY65 )
            & ( SY65 != SY66 )
            & ( sK2_SY62 != SY66 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[38]) ).

thf(40,plain,
    ( ( ! [SY67: $i] :
          ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ SY67 )
         => ( ( incident_c @ sK2_SY62 @ sK1_C )
            & ( incident_c @ sK3_SY65 @ sK1_C )
            & ( incident_c @ SY67 @ sK1_C )
            & ( sK2_SY62 != sK3_SY65 )
            & ( sK3_SY65 != SY67 )
            & ( sK2_SY62 != SY67 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[39]) ).

thf(41,plain,
    ( ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ sK4_SY67 )
     => ( ( incident_c @ sK2_SY62 @ sK1_C )
        & ( incident_c @ sK3_SY65 @ sK1_C )
        & ( incident_c @ sK4_SY67 @ sK1_C )
        & ( sK2_SY62 != sK3_SY65 )
        & ( sK3_SY65 != sK4_SY67 )
        & ( sK2_SY62 != sK4_SY67 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[40]) ).

thf(42,plain,
    ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ sK4_SY67 )
    = $true ),
    inference(standard_cnf,[status(thm)],[41]) ).

thf(43,plain,
    ( ( ( incident_c @ sK2_SY62 @ sK1_C )
      & ( incident_c @ sK3_SY65 @ sK1_C )
      & ( incident_c @ sK4_SY67 @ sK1_C )
      & ( sK2_SY62 != sK3_SY65 )
      & ( sK3_SY65 != sK4_SY67 )
      & ( sK2_SY62 != sK4_SY67 ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[41]) ).

thf(44,plain,
    ( ( incident_c @ sK2_SY62 @ sK1_C )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[43]) ).

thf(45,plain,
    ( ( incident_c @ sK3_SY65 @ sK1_C )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[43]) ).

thf(46,plain,
    ( ( incident_c @ sK4_SY67 @ sK1_C )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[43]) ).

thf(47,plain,
    ( ( ( sK2_SY62 != sK3_SY65 ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[43]) ).

thf(48,plain,
    ( ( ( sK3_SY65 != sK4_SY67 ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[43]) ).

thf(49,plain,
    ( ( ( sK2_SY62 != sK4_SY67 ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[43]) ).

thf(50,plain,
    ( ( ~ ( incident_c @ sK2_SY62 @ sK1_C ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[44]) ).

thf(51,plain,
    ( ( ~ ( incident_c @ sK3_SY65 @ sK1_C ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[45]) ).

thf(52,plain,
    ( ( ~ ( incident_c @ sK4_SY67 @ sK1_C ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[46]) ).

thf(53,plain,
    ( ( ~ ( ( sK2_SY62 != sK3_SY65 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[47]) ).

thf(54,plain,
    ( ( ~ ( ( sK3_SY65 != sK4_SY67 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[48]) ).

thf(55,plain,
    ( ( ~ ( ( sK2_SY62 != sK4_SY67 ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[49]) ).

thf(56,plain,
    ( ( sK2_SY62 = sK3_SY65 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[53]) ).

thf(57,plain,
    ( ( sK3_SY65 = sK4_SY67 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[54]) ).

thf(58,plain,
    ( ( sK2_SY62 = sK4_SY67 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[55]) ).

thf(59,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 @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK5_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK5_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(60,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(61,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK7_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[23]) ).

thf(62,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)],[24]) ).

thf(63,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK8_Q @ P @ C ) )
            & ( end_point @ ( sK8_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(64,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)],[26]) ).

thf(65,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) )
            & ( meet @ P @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[27]) ).

thf(66,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK11_P @ C ) @ C ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[28]) ).

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 @ 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)],[29]) ).

thf(68,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[30]) ).

thf(69,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK12_P @ C ) @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[31]) ).

thf(70,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK13_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[32]) ).

thf(71,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK14_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK14_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)],[33]) ).

thf(72,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)],[34]) ).

thf(73,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK15_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK16_SY69 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK15_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK15_C1 @ C @ P ) @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK16_SY69 @ C @ P ) @ ( sK15_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)],[35]) ).

thf(74,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK17_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)],[36]) ).

thf(75,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK18_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK18_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)],[37]) ).

thf(76,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK18_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK18_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)],[75]) ).

thf(77,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK17_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)],[74]) ).

thf(78,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK15_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK16_SY69 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK15_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK15_C1 @ C @ P ) @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK16_SY69 @ C @ P ) @ ( sK15_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)],[73]) ).

thf(79,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)],[72]) ).

thf(80,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK14_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK14_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)],[71]) ).

thf(81,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK13_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(82,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK12_P @ C ) @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(83,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(84,plain,
    ( ( ! [C: $i,C1: $i,C2: $i,C3: $i] :
          ( ~ ( part_of @ C1 @ C )
          | ~ ( part_of @ C2 @ C )
          | ~ ( part_of @ C3 @ C )
          | ! [P: $i] :
              ( ~ ( end_point @ P @ C1 )
              | ~ ( end_point @ P @ C2 )
              | ~ ( end_point @ P @ C3 ) )
          | ( part_of @ C3 @ C1 )
          | ( part_of @ C1 @ C3 )
          | ( part_of @ C2 @ C1 )
          | ( part_of @ C1 @ C2 )
          | ( part_of @ C2 @ C3 )
          | ( part_of @ C3 @ C2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[67]) ).

thf(85,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK11_P @ C ) @ C ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(86,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) )
            & ( meet @ P @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(87,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)],[64]) ).

thf(88,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK8_Q @ P @ C ) )
            & ( end_point @ ( sK8_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(89,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)],[62]) ).

thf(90,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK7_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(91,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(92,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 @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK5_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK5_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(93,plain,
    ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ sK4_SY67 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(94,plain,
    ( ( ~ ( incident_c @ sK2_SY62 @ sK1_C ) )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(95,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX1 @ SX0 )
          | ~ ( ( SX0
               != ( sum @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) )
              | ~ ( meet @ SX1 @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(96,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX1 @ SX0 )
          | ~ ( ~ ( ( SX1
                   != ( sK8_Q @ SX1 @ SX0 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(97,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 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
                                  | ~ ( end_point @ SX3 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ( inner_point @ SX2 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(98,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(99,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                    | ~ ~ ( incident_c @ ( sK18_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)],[76]) ).

thf(100,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                          | ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ( incident_c @ ( sK17_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)],[77]) ).

thf(101,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( closed @ SX0 )
                | ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
                | ( closed @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(102,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                                | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                          | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                          | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[78]) ).

thf(103,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)],[79]) ).

thf(104,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 )
                | ( open @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( open @ SX0 )
                | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(105,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                            | ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ~ ( end_point @ ( sK14_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)],[80]) ).

thf(106,plain,
    ! [SV1: $i] :
      ( ( ! [SY70: $i] :
            ( ( SY70 = SV1 )
            | ~ ( part_of @ SY70 @ SV1 )
            | ( open @ SY70 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[83]) ).

thf(107,plain,
    ! [SV2: $i] :
      ( ( ! [SY71: $i,SY72: $i,SY73: $i] :
            ( ~ ( part_of @ SY71 @ SV2 )
            | ~ ( part_of @ SY72 @ SV2 )
            | ~ ( part_of @ SY73 @ SV2 )
            | ! [P: $i] :
                ( ~ ( end_point @ P @ SY71 )
                | ~ ( end_point @ P @ SY72 )
                | ~ ( end_point @ P @ SY73 ) )
            | ( part_of @ SY73 @ SY71 )
            | ( part_of @ SY71 @ SY73 )
            | ( part_of @ SY72 @ SY71 )
            | ( part_of @ SY71 @ SY72 )
            | ( part_of @ SY72 @ SY73 )
            | ( part_of @ SY73 @ SY72 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(108,plain,
    ! [SV3: $i] :
      ( ( inner_point @ ( sK11_P @ SV3 ) @ SV3 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(109,plain,
    ! [SV4: $i] :
      ( ( ! [SY75: $i,SY76: $i,SY77: $i] :
            ( ~ ( end_point @ SY75 @ SV4 )
            | ~ ( end_point @ SY76 @ SV4 )
            | ~ ( end_point @ SY77 @ SV4 )
            | ( SY76 = SY77 )
            | ( SY75 = SY76 )
            | ( SY75 = SY77 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[87]) ).

thf(110,plain,
    ! [SV5: $i] :
      ( ( ! [SY78: $i,SY79: $i] :
            ( ~ ( closed @ SV5 )
            | ! [P: $i] :
                ~ ( meet @ P @ SY78 @ SY79 )
            | ( SV5
             != ( sum @ SY78 @ SY79 ) )
            | ! [Q: $i] :
                ( ~ ( end_point @ Q @ SY78 )
                | ( meet @ Q @ SY78 @ SY79 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[89]) ).

thf(111,plain,
    ! [SV6: $i] :
      ( ( ! [SY82: $i] :
            ( ! [SY83: $i] :
                ~ ( meet @ SY83 @ SV6 @ SY82 )
            | ( ( sK7_C @ SY82 @ SV6 )
              = ( sum @ SV6 @ SY82 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(112,plain,
    ( ( incident_c @ sK2_SY62 @ sK1_C )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(113,plain,
    ! [SV7: $i] :
      ( ( ! [SY84: $i] :
            ( ~ ( inner_point @ SY84 @ SV7 )
            | ~ ( ( SV7
                 != ( sum @ ( sK9_C1 @ SY84 @ SV7 ) @ ( sK10_SY68 @ SY84 @ SV7 ) ) )
                | ~ ( meet @ SY84 @ ( sK9_C1 @ SY84 @ SV7 ) @ ( sK10_SY68 @ SY84 @ SV7 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[95]) ).

thf(114,plain,
    ! [SV8: $i] :
      ( ( ! [SY85: $i] :
            ( ~ ( end_point @ SY85 @ SV8 )
            | ~ ( ~ ( ( SY85
                     != ( sK8_Q @ SY85 @ SV8 ) ) )
                | ~ ( end_point @ ( sK8_Q @ SY85 @ SV8 ) @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(115,plain,
    ! [SV9: $i] :
      ( ( ! [SY86: $i] :
            ~ ( ~ ! [SY87: $i,SY88: $i] :
                    ( ( SY86 = SY88 )
                    | ! [SY89: $i] :
                        ( ~ ( end_point @ SY86 @ SY89 )
                        | ~ ( part_of @ SY89 @ SV9 )
                        | ~ ( end_point @ SY88 @ SY89 )
                        | ~ ( inner_point @ SY87 @ SY89 ) )
                    | ( between_c @ SV9 @ SY86 @ SY87 @ SY88 ) )
              | ~ ~ ( ~ ! [SY90: $i,SY91: $i] :
                          ( ~ ( between_c @ SV9 @ SY86 @ SY90 @ SY91 )
                          | ( SY86 != SY91 ) )
                    | ~ ! [SY92: $i,SY93: $i] :
                          ( ~ ( between_c @ SV9 @ SY86 @ SY92 @ SY93 )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY86 @ ( sK5_Cpp @ SY93 @ SY92 @ SY86 @ SV9 ) )
                                          | ~ ( part_of @ ( sK5_Cpp @ SY93 @ SY92 @ SY86 @ SV9 ) @ SV9 ) )
                                    | ~ ( end_point @ SY93 @ ( sK5_Cpp @ SY93 @ SY92 @ SY86 @ SV9 ) ) )
                              | ~ ( inner_point @ SY92 @ ( sK5_Cpp @ SY93 @ SY92 @ SY86 @ SV9 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(116,plain,
    ! [SV10: $i] :
      ( ( ! [SY94: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SY94 @ SV10 ) @ SV10 )
                    | ~ ( incident_c @ ( sK6_P @ SY94 @ SV10 ) @ SY94 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SY94 @ SV10 ) @ SV10 )
                    | ( incident_c @ ( sK6_P @ SY94 @ SV10 ) @ SY94 ) ) )
            | ( SV10 = SY94 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(117,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_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)],[99]) ).

thf(118,plain,
    ! [SV11: $i] :
      ( ( ~ ( ~ ! [SY95: $i,SY96: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                                | ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY95 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                                | ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY96 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                          | ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY95 )
                          | ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY96 ) ) )
                  | ( SV11
                    = ( sum @ SY95 @ SY96 ) ) )
            | ~ ! [SY97: $i,SY98: $i] :
                  ( ( SV11
                   != ( sum @ SY97 @ SY98 ) )
                  | ~ ( ~ ! [SY99: $i] :
                            ( ~ ( incident_c @ SY99 @ SV11 )
                            | ( incident_c @ SY99 @ SY97 )
                            | ( incident_c @ SY99 @ SY98 ) )
                      | ~ ~ ( ~ ! [SY100: $i] :
                                  ( ~ ( incident_c @ SY100 @ SY97 )
                                  | ( incident_c @ SY100 @ SV11 ) )
                            | ~ ! [SY101: $i] :
                                  ( ~ ( incident_c @ SY101 @ SY98 )
                                  | ( incident_c @ SY101 @ SV11 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(119,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(120,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[102]) ).

thf(121,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)],[103]) ).

thf(122,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(123,plain,
    ! [SV12: $i] :
      ( ( ~ ( ~ ! [SY102: $i,SY103: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY102 )
                            | ~ ( incident_c @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY103 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY102 )
                          | ~ ( end_point @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY103 ) ) )
                  | ~ ( incident_c @ SV12 @ SY102 )
                  | ~ ( incident_c @ SV12 @ SY103 )
                  | ( meet @ SV12 @ SY102 @ SY103 ) )
            | ~ ~ ( ~ ! [SY104: $i,SY105: $i] :
                        ( ~ ( meet @ SV12 @ SY104 @ SY105 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY104 )
                                  | ~ ( incident_c @ SX3 @ SY105 )
                                  | ( end_point @ SX3 @ SY104 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY104 )
                                  | ~ ( incident_c @ SX3 @ SY105 )
                                  | ( end_point @ SX3 @ SY105 ) ) ) )
                  | ~ ~ ( ~ ! [SY108: $i] :
                              ( ! [SY109: $i] :
                                  ~ ( meet @ SV12 @ SY108 @ SY109 )
                              | ( incident_c @ SV12 @ SY108 ) )
                        | ~ ! [SY110: $i,SY111: $i] :
                              ( ~ ( meet @ SV12 @ SY110 @ SY111 )
                              | ( incident_c @ SV12 @ SY111 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[105]) ).

thf(124,plain,
    ! [SV1: $i,SV13: $i] :
      ( ( ( SV13 = SV1 )
        | ~ ( part_of @ SV13 @ SV1 )
        | ( open @ SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[106]) ).

thf(125,plain,
    ! [SV2: $i,SV14: $i] :
      ( ( ! [SY112: $i,SY113: $i] :
            ( ~ ( part_of @ SV14 @ SV2 )
            | ~ ( part_of @ SY112 @ SV2 )
            | ~ ( part_of @ SY113 @ SV2 )
            | ! [SY114: $i] :
                ( ~ ( end_point @ SY114 @ SV14 )
                | ~ ( end_point @ SY114 @ SY112 )
                | ~ ( end_point @ SY114 @ SY113 ) )
            | ( part_of @ SY113 @ SV14 )
            | ( part_of @ SV14 @ SY113 )
            | ( part_of @ SY112 @ SV14 )
            | ( part_of @ SV14 @ SY112 )
            | ( part_of @ SY112 @ SY113 )
            | ( part_of @ SY113 @ SY112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[107]) ).

thf(126,plain,
    ! [SV4: $i,SV15: $i] :
      ( ( ! [SY115: $i,SY116: $i] :
            ( ~ ( end_point @ SV15 @ SV4 )
            | ~ ( end_point @ SY115 @ SV4 )
            | ~ ( end_point @ SY116 @ SV4 )
            | ( SY115 = SY116 )
            | ( SV15 = SY115 )
            | ( SV15 = SY116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[109]) ).

thf(127,plain,
    ! [SV16: $i,SV5: $i] :
      ( ( ! [SY117: $i] :
            ( ~ ( closed @ SV5 )
            | ! [SY118: $i] :
                ~ ( meet @ SY118 @ SV16 @ SY117 )
            | ( SV5
             != ( sum @ SV16 @ SY117 ) )
            | ! [SY119: $i] :
                ( ~ ( end_point @ SY119 @ SV16 )
                | ( meet @ SY119 @ SV16 @ SY117 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[110]) ).

thf(128,plain,
    ! [SV17: $i,SV6: $i] :
      ( ( ! [SY120: $i] :
            ~ ( meet @ SY120 @ SV6 @ SV17 )
        | ( ( sK7_C @ SV17 @ SV6 )
          = ( sum @ SV6 @ SV17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[111]) ).

thf(129,plain,
    ! [SV7: $i,SV18: $i] :
      ( ( ~ ( inner_point @ SV18 @ SV7 )
        | ~ ( ( SV7
             != ( sum @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) )
            | ~ ( meet @ SV18 @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[113]) ).

thf(130,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ~ ( end_point @ SV19 @ SV8 )
        | ~ ( ~ ( ( SV19
                 != ( sK8_Q @ SV19 @ SV8 ) ) )
            | ~ ( end_point @ ( sK8_Q @ SV19 @ SV8 ) @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[114]) ).

thf(131,plain,
    ! [SV9: $i,SV20: $i] :
      ( ( ~ ( ~ ! [SY121: $i,SY122: $i] :
                  ( ( SV20 = SY122 )
                  | ! [SY123: $i] :
                      ( ~ ( end_point @ SV20 @ SY123 )
                      | ~ ( part_of @ SY123 @ SV9 )
                      | ~ ( end_point @ SY122 @ SY123 )
                      | ~ ( inner_point @ SY121 @ SY123 ) )
                  | ( between_c @ SV9 @ SV20 @ SY121 @ SY122 ) )
            | ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
                        ( ~ ( between_c @ SV9 @ SV20 @ SY124 @ SY125 )
                        | ( SV20 != SY125 ) )
                  | ~ ! [SY126: $i,SY127: $i] :
                        ( ~ ( between_c @ SV9 @ SV20 @ SY126 @ SY127 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) @ SV9 ) )
                                  | ~ ( end_point @ SY127 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) )
                            | ~ ( inner_point @ SY126 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[115]) ).

thf(132,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
                | ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) )
            | ~ ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
                | ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) ) )
        | ( SV10 = SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[116]) ).

thf(133,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[117]) ).

thf(134,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)],[117]) ).

thf(135,plain,
    ! [SV11: $i] :
      ( ( ~ ! [SY95: $i,SY96: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                            | ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY95 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                            | ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY96 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                      | ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY95 )
                      | ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY96 ) ) )
              | ( SV11
                = ( sum @ SY95 @ SY96 ) ) )
        | ~ ! [SY97: $i,SY98: $i] :
              ( ( SV11
               != ( sum @ SY97 @ SY98 ) )
              | ~ ( ~ ! [SY99: $i] :
                        ( ~ ( incident_c @ SY99 @ SV11 )
                        | ( incident_c @ SY99 @ SY97 )
                        | ( incident_c @ SY99 @ SY98 ) )
                  | ~ ~ ( ~ ! [SY100: $i] :
                              ( ~ ( incident_c @ SY100 @ SY97 )
                              | ( incident_c @ SY100 @ SV11 ) )
                        | ~ ! [SY101: $i] :
                              ( ~ ( incident_c @ SY101 @ SY98 )
                              | ( incident_c @ SY101 @ SV11 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(136,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[119]) ).

thf(137,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[119]) ).

thf(138,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[120]) ).

thf(139,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)],[120]) ).

thf(140,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[121]) ).

thf(141,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)],[121]) ).

thf(142,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[122]) ).

thf(143,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[122]) ).

thf(144,plain,
    ! [SV12: $i] :
      ( ( ~ ! [SY102: $i,SY103: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY102 )
                        | ~ ( incident_c @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY103 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY102 )
                      | ~ ( end_point @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY103 ) ) )
              | ~ ( incident_c @ SV12 @ SY102 )
              | ~ ( incident_c @ SV12 @ SY103 )
              | ( meet @ SV12 @ SY102 @ SY103 ) )
        | ~ ~ ( ~ ! [SY104: $i,SY105: $i] :
                    ( ~ ( meet @ SV12 @ SY104 @ SY105 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY104 )
                              | ~ ( incident_c @ SX3 @ SY105 )
                              | ( end_point @ SX3 @ SY104 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY104 )
                              | ~ ( incident_c @ SX3 @ SY105 )
                              | ( end_point @ SX3 @ SY105 ) ) ) )
              | ~ ~ ( ~ ! [SY108: $i] :
                          ( ! [SY109: $i] :
                              ~ ( meet @ SV12 @ SY108 @ SY109 )
                          | ( incident_c @ SV12 @ SY108 ) )
                    | ~ ! [SY110: $i,SY111: $i] :
                          ( ~ ( meet @ SV12 @ SY110 @ SY111 )
                          | ( incident_c @ SV12 @ SY111 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[123]) ).

thf(145,plain,
    ! [SV1: $i,SV13: $i] :
      ( ( ( ( SV13 = SV1 )
          | ~ ( part_of @ SV13 @ SV1 ) )
        = $true )
      | ( ( open @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[124]) ).

thf(146,plain,
    ! [SV22: $i,SV2: $i,SV14: $i] :
      ( ( ! [SY128: $i] :
            ( ~ ( part_of @ SV14 @ SV2 )
            | ~ ( part_of @ SV22 @ SV2 )
            | ~ ( part_of @ SY128 @ SV2 )
            | ! [SY129: $i] :
                ( ~ ( end_point @ SY129 @ SV14 )
                | ~ ( end_point @ SY129 @ SV22 )
                | ~ ( end_point @ SY129 @ SY128 ) )
            | ( part_of @ SY128 @ SV14 )
            | ( part_of @ SV14 @ SY128 )
            | ( part_of @ SV22 @ SV14 )
            | ( part_of @ SV14 @ SV22 )
            | ( part_of @ SV22 @ SY128 )
            | ( part_of @ SY128 @ SV22 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[125]) ).

thf(147,plain,
    ! [SV23: $i,SV4: $i,SV15: $i] :
      ( ( ! [SY130: $i] :
            ( ~ ( end_point @ SV15 @ SV4 )
            | ~ ( end_point @ SV23 @ SV4 )
            | ~ ( end_point @ SY130 @ SV4 )
            | ( SV23 = SY130 )
            | ( SV15 = SV23 )
            | ( SV15 = SY130 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[126]) ).

thf(148,plain,
    ! [SV24: $i,SV16: $i,SV5: $i] :
      ( ( ~ ( closed @ SV5 )
        | ! [SY131: $i] :
            ~ ( meet @ SY131 @ SV16 @ SV24 )
        | ( SV5
         != ( sum @ SV16 @ SV24 ) )
        | ! [SY132: $i] :
            ( ~ ( end_point @ SY132 @ SV16 )
            | ( meet @ SY132 @ SV16 @ SV24 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[127]) ).

thf(149,plain,
    ! [SV17: $i,SV6: $i] :
      ( ( ( ! [SY120: $i] :
              ~ ( meet @ SY120 @ SV6 @ SV17 ) )
        = $true )
      | ( ( ( sK7_C @ SV17 @ SV6 )
          = ( sum @ SV6 @ SV17 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[128]) ).

thf(150,plain,
    ! [SV7: $i,SV18: $i] :
      ( ( ( ~ ( inner_point @ SV18 @ SV7 ) )
        = $true )
      | ( ( ~ ( ( SV7
               != ( sum @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) )
              | ~ ( meet @ SV18 @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[129]) ).

thf(151,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ( ~ ( end_point @ SV19 @ SV8 ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV19
                   != ( sK8_Q @ SV19 @ SV8 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV19 @ SV8 ) @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[130]) ).

thf(152,plain,
    ! [SV9: $i,SV20: $i] :
      ( ( ~ ! [SY121: $i,SY122: $i] :
              ( ( SV20 = SY122 )
              | ! [SY123: $i] :
                  ( ~ ( end_point @ SV20 @ SY123 )
                  | ~ ( part_of @ SY123 @ SV9 )
                  | ~ ( end_point @ SY122 @ SY123 )
                  | ~ ( inner_point @ SY121 @ SY123 ) )
              | ( between_c @ SV9 @ SV20 @ SY121 @ SY122 ) )
        | ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
                    ( ~ ( between_c @ SV9 @ SV20 @ SY124 @ SY125 )
                    | ( SV20 != SY125 ) )
              | ~ ! [SY126: $i,SY127: $i] :
                    ( ~ ( between_c @ SV9 @ SV20 @ SY126 @ SY127 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) @ SV9 ) )
                              | ~ ( end_point @ SY127 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) )
                        | ~ ( inner_point @ SY126 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(153,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
                  | ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
                  | ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) ) ) )
        = $true )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[132]) ).

thf(154,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
          | ( part_of @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[133]) ).

thf(155,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)],[134]) ).

thf(156,plain,
    ! [SV11: $i] :
      ( ( ~ ! [SY95: $i,SY96: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                            | ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY95 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                            | ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY96 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                      | ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY95 )
                      | ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY96 ) ) )
              | ( SV11
                = ( sum @ SY95 @ SY96 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(157,plain,
    ! [SV11: $i] :
      ( ( ~ ! [SY97: $i,SY98: $i] :
              ( ( SV11
               != ( sum @ SY97 @ SY98 ) )
              | ~ ( ~ ! [SY99: $i] :
                        ( ~ ( incident_c @ SY99 @ SV11 )
                        | ( incident_c @ SY99 @ SY97 )
                        | ( incident_c @ SY99 @ SY98 ) )
                  | ~ ~ ( ~ ! [SY100: $i] :
                              ( ~ ( incident_c @ SY100 @ SY97 )
                              | ( incident_c @ SY100 @ SV11 ) )
                        | ~ ! [SY101: $i] :
                              ( ~ ( incident_c @ SY101 @ SY98 )
                              | ( incident_c @ SY101 @ SV11 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[135]) ).

thf(158,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( closed @ SX0 )
          | ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[136]) ).

thf(159,plain,
    ( ( ! [SX0: $i] :
          ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
          | ( closed @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[137]) ).

thf(160,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                          | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                    | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
          | ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[138]) ).

thf(161,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)],[139]) ).

thf(162,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 )
          | ( inner_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[140]) ).

thf(163,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)],[141]) ).

thf(164,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 )
          | ( open @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[142]) ).

thf(165,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( open @ SX0 )
          | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[143]) ).

thf(166,plain,
    ! [SV12: $i] :
      ( ( ~ ! [SY102: $i,SY103: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY102 )
                        | ~ ( incident_c @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY103 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY102 )
                      | ~ ( end_point @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY103 ) ) )
              | ~ ( incident_c @ SV12 @ SY102 )
              | ~ ( incident_c @ SV12 @ SY103 )
              | ( meet @ SV12 @ SY102 @ SY103 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[144]) ).

thf(167,plain,
    ! [SV12: $i] :
      ( ( ~ ~ ( ~ ! [SY104: $i,SY105: $i] :
                    ( ~ ( meet @ SV12 @ SY104 @ SY105 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY104 )
                              | ~ ( incident_c @ SX3 @ SY105 )
                              | ( end_point @ SX3 @ SY104 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY104 )
                              | ~ ( incident_c @ SX3 @ SY105 )
                              | ( end_point @ SX3 @ SY105 ) ) ) )
              | ~ ~ ( ~ ! [SY108: $i] :
                          ( ! [SY109: $i] :
                              ~ ( meet @ SV12 @ SY108 @ SY109 )
                          | ( incident_c @ SV12 @ SY108 ) )
                    | ~ ! [SY110: $i,SY111: $i] :
                          ( ~ ( meet @ SV12 @ SY110 @ SY111 )
                          | ( incident_c @ SV12 @ SY111 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[144]) ).

thf(168,plain,
    ! [SV1: $i,SV13: $i] :
      ( ( ( SV13 = SV1 )
        = $true )
      | ( ( ~ ( part_of @ SV13 @ SV1 ) )
        = $true )
      | ( ( open @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[145]) ).

thf(169,plain,
    ! [SV25: $i,SV22: $i,SV2: $i,SV14: $i] :
      ( ( ~ ( part_of @ SV14 @ SV2 )
        | ~ ( part_of @ SV22 @ SV2 )
        | ~ ( part_of @ SV25 @ SV2 )
        | ! [SY133: $i] :
            ( ~ ( end_point @ SY133 @ SV14 )
            | ~ ( end_point @ SY133 @ SV22 )
            | ~ ( end_point @ SY133 @ SV25 ) )
        | ( part_of @ SV25 @ SV14 )
        | ( part_of @ SV14 @ SV25 )
        | ( part_of @ SV22 @ SV14 )
        | ( part_of @ SV14 @ SV22 )
        | ( part_of @ SV22 @ SV25 )
        | ( part_of @ SV25 @ SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(170,plain,
    ! [SV26: $i,SV23: $i,SV4: $i,SV15: $i] :
      ( ( ~ ( end_point @ SV15 @ SV4 )
        | ~ ( end_point @ SV23 @ SV4 )
        | ~ ( end_point @ SV26 @ SV4 )
        | ( SV23 = SV26 )
        | ( SV15 = SV23 )
        | ( SV15 = SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[147]) ).

thf(171,plain,
    ! [SV24: $i,SV16: $i,SV5: $i] :
      ( ( ( ~ ( closed @ SV5 )
          | ! [SY131: $i] :
              ~ ( meet @ SY131 @ SV16 @ SV24 )
          | ( SV5
           != ( sum @ SV16 @ SV24 ) ) )
        = $true )
      | ( ( ! [SY132: $i] :
              ( ~ ( end_point @ SY132 @ SV16 )
              | ( meet @ SY132 @ SV16 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[148]) ).

thf(172,plain,
    ! [SV17: $i,SV6: $i,SV27: $i] :
      ( ( ( ~ ( meet @ SV27 @ SV6 @ SV17 ) )
        = $true )
      | ( ( ( sK7_C @ SV17 @ SV6 )
          = ( sum @ SV6 @ SV17 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(173,plain,
    ! [SV7: $i,SV18: $i] :
      ( ( ( inner_point @ SV18 @ SV7 )
        = $false )
      | ( ( ~ ( ( SV7
               != ( sum @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) )
              | ~ ( meet @ SV18 @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[150]) ).

thf(174,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ( end_point @ SV19 @ SV8 )
        = $false )
      | ( ( ~ ( ~ ( ( SV19
                   != ( sK8_Q @ SV19 @ SV8 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV19 @ SV8 ) @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[151]) ).

thf(175,plain,
    ! [SV9: $i,SV20: $i] :
      ( ( ~ ! [SY121: $i,SY122: $i] :
              ( ( SV20 = SY122 )
              | ! [SY123: $i] :
                  ( ~ ( end_point @ SV20 @ SY123 )
                  | ~ ( part_of @ SY123 @ SV9 )
                  | ~ ( end_point @ SY122 @ SY123 )
                  | ~ ( inner_point @ SY121 @ SY123 ) )
              | ( between_c @ SV9 @ SV20 @ SY121 @ SY122 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[152]) ).

thf(176,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ~ ~ ( ~ ! [SY124: $i,SY125: $i] :
                    ( ~ ( between_c @ SV9 @ SV20 @ SY124 @ SY125 )
                    | ( SV20 != SY125 ) )
              | ~ ! [SY126: $i,SY127: $i] :
                    ( ~ ( between_c @ SV9 @ SV20 @ SY126 @ SY127 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) @ SV9 ) )
                              | ~ ( end_point @ SY127 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) )
                        | ~ ( inner_point @ SY126 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[152]) ).

thf(177,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
              | ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) )
          | ~ ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
              | ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) ) )
        = $false )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(178,plain,
    ! [SV28: $i] :
      ( ( ! [SY134: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SY134 @ SV28 ) @ SY134 )
                | ~ ~ ( incident_c @ ( sK18_P @ SY134 @ SV28 ) @ SV28 ) )
            | ( part_of @ SY134 @ SV28 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[154]) ).

thf(179,plain,
    ! [SV29: $i] :
      ( ( ! [SY135: $i] :
            ( ~ ( part_of @ SY135 @ SV29 )
            | ! [SY136: $i] :
                ( ~ ( incident_c @ SY136 @ SY135 )
                | ( incident_c @ SY136 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[155]) ).

thf(180,plain,
    ! [SV11: $i] :
      ( ( ! [SY95: $i,SY96: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                          | ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY95 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                          | ~ ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY96 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SV11 )
                    | ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY95 )
                    | ( incident_c @ ( sK17_Q @ SY96 @ SY95 @ SV11 ) @ SY96 ) ) )
            | ( SV11
              = ( sum @ SY95 @ SY96 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[156]) ).

thf(181,plain,
    ! [SV11: $i] :
      ( ( ! [SY97: $i,SY98: $i] :
            ( ( SV11
             != ( sum @ SY97 @ SY98 ) )
            | ~ ( ~ ! [SY99: $i] :
                      ( ~ ( incident_c @ SY99 @ SV11 )
                      | ( incident_c @ SY99 @ SY97 )
                      | ( incident_c @ SY99 @ SY98 ) )
                | ~ ~ ( ~ ! [SY100: $i] :
                            ( ~ ( incident_c @ SY100 @ SY97 )
                            | ( incident_c @ SY100 @ SV11 ) )
                      | ~ ! [SY101: $i] :
                            ( ~ ( incident_c @ SY101 @ SY98 )
                            | ( incident_c @ SY101 @ SV11 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[157]) ).

thf(182,plain,
    ! [SV30: $i] :
      ( ( ~ ( closed @ SV30 )
        | ! [SY137: $i] :
            ~ ( end_point @ SY137 @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[158]) ).

thf(183,plain,
    ! [SV31: $i] :
      ( ( ( end_point @ ( sK13_P @ SV31 ) @ SV31 )
        | ( closed @ SV31 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[159]) ).

thf(184,plain,
    ! [SV32: $i] :
      ( ( ! [SY138: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SY138 @ SV32 ) @ SY138 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SY138 @ SV32 ) @ SY138 ) )
                            | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SY138 @ SV32 ) ) )
                      | ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SY138 @ SV32 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SY138 @ SV32 ) @ ( sK16_SY69 @ SY138 @ SV32 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SY138 @ SV32 ) @ ( sK15_C1 @ SY138 @ SV32 ) ) ) )
            | ~ ( incident_c @ SV32 @ SY138 )
            | ( end_point @ SV32 @ SY138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(185,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)],[161]) ).

thf(186,plain,
    ! [SV33: $i] :
      ( ( ! [SY139: $i] :
            ( ~ ( incident_c @ SV33 @ SY139 )
            | ( end_point @ SV33 @ SY139 )
            | ( inner_point @ SV33 @ SY139 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[162]) ).

thf(187,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)],[163]) ).

thf(188,plain,
    ! [SV34: $i] :
      ( ( ! [SY140: $i] :
            ~ ( end_point @ SY140 @ SV34 )
        | ( open @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[164]) ).

thf(189,plain,
    ! [SV35: $i] :
      ( ( ~ ( open @ SV35 )
        | ( end_point @ ( sK12_P @ SV35 ) @ SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(190,plain,
    ! [SV12: $i] :
      ( ( ! [SY102: $i,SY103: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY102 )
                      | ~ ( incident_c @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY103 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY102 )
                    | ~ ( end_point @ ( sK14_Q @ SY103 @ SY102 @ SV12 ) @ SY103 ) ) )
            | ~ ( incident_c @ SV12 @ SY102 )
            | ~ ( incident_c @ SV12 @ SY103 )
            | ( meet @ SV12 @ SY102 @ SY103 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[166]) ).

thf(191,plain,
    ! [SV12: $i] :
      ( ( ~ ( ~ ! [SY104: $i,SY105: $i] :
                  ( ~ ( meet @ SV12 @ SY104 @ SY105 )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY104 )
                            | ~ ( incident_c @ SX3 @ SY105 )
                            | ( end_point @ SX3 @ SY104 ) )
                      | ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY104 )
                            | ~ ( incident_c @ SX3 @ SY105 )
                            | ( end_point @ SX3 @ SY105 ) ) ) )
            | ~ ~ ( ~ ! [SY108: $i] :
                        ( ! [SY109: $i] :
                            ~ ( meet @ SV12 @ SY108 @ SY109 )
                        | ( incident_c @ SV12 @ SY108 ) )
                  | ~ ! [SY110: $i,SY111: $i] :
                        ( ~ ( meet @ SV12 @ SY110 @ SY111 )
                        | ( incident_c @ SV12 @ SY111 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[167]) ).

thf(192,plain,
    ! [SV1: $i,SV13: $i] :
      ( ( ( part_of @ SV13 @ SV1 )
        = $false )
      | ( ( SV13 = SV1 )
        = $true )
      | ( ( open @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[168]) ).

thf(193,plain,
    ! [SV25: $i,SV22: $i,SV2: $i,SV14: $i] :
      ( ( ( ~ ( part_of @ SV14 @ SV2 )
          | ~ ( part_of @ SV22 @ SV2 )
          | ~ ( part_of @ SV25 @ SV2 )
          | ! [SY133: $i] :
              ( ~ ( end_point @ SY133 @ SV14 )
              | ~ ( end_point @ SY133 @ SV22 )
              | ~ ( end_point @ SY133 @ SV25 ) ) )
        = $true )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[169]) ).

thf(194,plain,
    ! [SV26: $i,SV23: $i,SV4: $i,SV15: $i] :
      ( ( ( ~ ( end_point @ SV15 @ SV4 )
          | ~ ( end_point @ SV23 @ SV4 )
          | ~ ( end_point @ SV26 @ SV4 ) )
        = $true )
      | ( ( ( SV23 = SV26 )
          | ( SV15 = SV23 )
          | ( SV15 = SV26 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[170]) ).

thf(195,plain,
    ! [SV24: $i,SV16: $i,SV5: $i] :
      ( ( ( ~ ( closed @ SV5 )
          | ! [SY131: $i] :
              ~ ( meet @ SY131 @ SV16 @ SV24 ) )
        = $true )
      | ( ( ( SV5
           != ( sum @ SV16 @ SV24 ) ) )
        = $true )
      | ( ( ! [SY132: $i] :
              ( ~ ( end_point @ SY132 @ SV16 )
              | ( meet @ SY132 @ SV16 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(196,plain,
    ! [SV17: $i,SV6: $i,SV27: $i] :
      ( ( ( meet @ SV27 @ SV6 @ SV17 )
        = $false )
      | ( ( ( sK7_C @ SV17 @ SV6 )
          = ( sum @ SV6 @ SV17 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[172]) ).

thf(197,plain,
    ! [SV18: $i,SV7: $i] :
      ( ( ( ( SV7
           != ( sum @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) )
          | ~ ( meet @ SV18 @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) )
        = $false )
      | ( ( inner_point @ SV18 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[173]) ).

thf(198,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ( ~ ( ( SV19
               != ( sK8_Q @ SV19 @ SV8 ) ) )
          | ~ ( end_point @ ( sK8_Q @ SV19 @ SV8 ) @ SV8 ) )
        = $false )
      | ( ( end_point @ SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[174]) ).

thf(199,plain,
    ! [SV9: $i,SV20: $i] :
      ( ( ! [SY121: $i,SY122: $i] :
            ( ( SV20 = SY122 )
            | ! [SY123: $i] :
                ( ~ ( end_point @ SV20 @ SY123 )
                | ~ ( part_of @ SY123 @ SV9 )
                | ~ ( end_point @ SY122 @ SY123 )
                | ~ ( inner_point @ SY121 @ SY123 ) )
            | ( between_c @ SV9 @ SV20 @ SY121 @ SY122 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[175]) ).

thf(200,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ~ ( ~ ! [SY124: $i,SY125: $i] :
                  ( ~ ( between_c @ SV9 @ SV20 @ SY124 @ SY125 )
                  | ( SV20 != SY125 ) )
            | ~ ! [SY126: $i,SY127: $i] :
                  ( ~ ( between_c @ SV9 @ SV20 @ SY126 @ SY127 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) )
                                  | ~ ( part_of @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) @ SV9 ) )
                            | ~ ( end_point @ SY127 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) )
                      | ~ ( inner_point @ SY126 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[176]) ).

thf(201,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
              | ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) ) )
        = $false )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[177]) ).

thf(202,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
              | ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) ) )
        = $false )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[177]) ).

thf(203,plain,
    ! [SV28: $i,SV36: $i] :
      ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV36 )
            | ~ ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV28 ) )
        | ( part_of @ SV36 @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[178]) ).

thf(204,plain,
    ! [SV29: $i,SV37: $i] :
      ( ( ~ ( part_of @ SV37 @ SV29 )
        | ! [SY141: $i] :
            ( ~ ( incident_c @ SY141 @ SV37 )
            | ( incident_c @ SY141 @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(205,plain,
    ! [SV11: $i,SV38: $i] :
      ( ( ! [SY142: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY142 @ SV38 @ SV11 ) @ SV11 )
                          | ~ ( incident_c @ ( sK17_Q @ SY142 @ SV38 @ SV11 ) @ SV38 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY142 @ SV38 @ SV11 ) @ SV11 )
                          | ~ ( incident_c @ ( sK17_Q @ SY142 @ SV38 @ SV11 ) @ SY142 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY142 @ SV38 @ SV11 ) @ SV11 )
                    | ( incident_c @ ( sK17_Q @ SY142 @ SV38 @ SV11 ) @ SV38 )
                    | ( incident_c @ ( sK17_Q @ SY142 @ SV38 @ SV11 ) @ SY142 ) ) )
            | ( SV11
              = ( sum @ SV38 @ SY142 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[180]) ).

thf(206,plain,
    ! [SV39: $i,SV11: $i] :
      ( ( ! [SY143: $i] :
            ( ( SV11
             != ( sum @ SV39 @ SY143 ) )
            | ~ ( ~ ! [SY144: $i] :
                      ( ~ ( incident_c @ SY144 @ SV11 )
                      | ( incident_c @ SY144 @ SV39 )
                      | ( incident_c @ SY144 @ SY143 ) )
                | ~ ~ ( ~ ! [SY145: $i] :
                            ( ~ ( incident_c @ SY145 @ SV39 )
                            | ( incident_c @ SY145 @ SV11 ) )
                      | ~ ! [SY101: $i] :
                            ( ~ ( incident_c @ SY101 @ SY143 )
                            | ( incident_c @ SY101 @ SV11 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[181]) ).

thf(207,plain,
    ! [SV30: $i] :
      ( ( ( ~ ( closed @ SV30 ) )
        = $true )
      | ( ( ! [SY137: $i] :
              ~ ( end_point @ SY137 @ SV30 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[182]) ).

thf(208,plain,
    ! [SV31: $i] :
      ( ( ( end_point @ ( sK13_P @ SV31 ) @ SV31 )
        = $true )
      | ( ( closed @ SV31 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[183]) ).

thf(209,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                              | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
                        | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
                  | ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) ) )
            | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
                  | ~ ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) ) )
        | ~ ( incident_c @ SV32 @ SV40 )
        | ( end_point @ SV32 @ SV40 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[184]) ).

thf(210,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)],[185]) ).

thf(211,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[185]) ).

thf(212,plain,
    ! [SV41: $i,SV33: $i] :
      ( ( ~ ( incident_c @ SV33 @ SV41 )
        | ( end_point @ SV33 @ SV41 )
        | ( inner_point @ SV33 @ SV41 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[186]) ).

thf(213,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(214,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(215,plain,
    ! [SV34: $i] :
      ( ( ( ! [SY140: $i] :
              ~ ( end_point @ SY140 @ SV34 ) )
        = $true )
      | ( ( open @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[188]) ).

thf(216,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( open @ SV35 ) )
        = $true )
      | ( ( end_point @ ( sK12_P @ SV35 ) @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(217,plain,
    ! [SV12: $i,SV42: $i] :
      ( ( ! [SY147: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY147 @ SV42 @ SV12 ) @ SV42 )
                      | ~ ( incident_c @ ( sK14_Q @ SY147 @ SV42 @ SV12 ) @ SY147 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY147 @ SV42 @ SV12 ) @ SV42 )
                    | ~ ( end_point @ ( sK14_Q @ SY147 @ SV42 @ SV12 ) @ SY147 ) ) )
            | ~ ( incident_c @ SV12 @ SV42 )
            | ~ ( incident_c @ SV12 @ SY147 )
            | ( meet @ SV12 @ SV42 @ SY147 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[190]) ).

thf(218,plain,
    ! [SV12: $i] :
      ( ( ~ ! [SY104: $i,SY105: $i] :
              ( ~ ( meet @ SV12 @ SY104 @ SY105 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY104 )
                        | ~ ( incident_c @ SX3 @ SY105 )
                        | ( end_point @ SX3 @ SY104 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY104 )
                        | ~ ( incident_c @ SX3 @ SY105 )
                        | ( end_point @ SX3 @ SY105 ) ) ) )
        | ~ ~ ( ~ ! [SY108: $i] :
                    ( ! [SY109: $i] :
                        ~ ( meet @ SV12 @ SY108 @ SY109 )
                    | ( incident_c @ SV12 @ SY108 ) )
              | ~ ! [SY110: $i,SY111: $i] :
                    ( ~ ( meet @ SV12 @ SY110 @ SY111 )
                    | ( incident_c @ SV12 @ SY111 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(219,plain,
    ! [SV25: $i,SV22: $i,SV2: $i,SV14: $i] :
      ( ( ( ~ ( part_of @ SV14 @ SV2 )
          | ~ ( part_of @ SV22 @ SV2 )
          | ~ ( part_of @ SV25 @ SV2 ) )
        = $true )
      | ( ( ! [SY133: $i] :
              ( ~ ( end_point @ SY133 @ SV14 )
              | ~ ( end_point @ SY133 @ SV22 )
              | ~ ( end_point @ SY133 @ SV25 ) ) )
        = $true )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[193]) ).

thf(220,plain,
    ! [SV26: $i,SV23: $i,SV4: $i,SV15: $i] :
      ( ( ( ~ ( end_point @ SV15 @ SV4 )
          | ~ ( end_point @ SV23 @ SV4 ) )
        = $true )
      | ( ( ~ ( end_point @ SV26 @ SV4 ) )
        = $true )
      | ( ( ( SV23 = SV26 )
          | ( SV15 = SV23 )
          | ( SV15 = SV26 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(221,plain,
    ! [SV24: $i,SV16: $i,SV5: $i] :
      ( ( ( ~ ( closed @ SV5 ) )
        = $true )
      | ( ( ! [SY131: $i] :
              ~ ( meet @ SY131 @ SV16 @ SV24 ) )
        = $true )
      | ( ( ( SV5
           != ( sum @ SV16 @ SV24 ) ) )
        = $true )
      | ( ( ! [SY132: $i] :
              ( ~ ( end_point @ SY132 @ SV16 )
              | ( meet @ SY132 @ SV16 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[195]) ).

thf(222,plain,
    ! [SV18: $i,SV7: $i] :
      ( ( ( ( SV7
           != ( sum @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) ) )
        = $false )
      | ( ( inner_point @ SV18 @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(223,plain,
    ! [SV7: $i,SV18: $i] :
      ( ( ( ~ ( meet @ SV18 @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) )
        = $false )
      | ( ( inner_point @ SV18 @ SV7 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(224,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ( ~ ( ( SV19
               != ( sK8_Q @ SV19 @ SV8 ) ) ) )
        = $false )
      | ( ( end_point @ SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(225,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ( ~ ( end_point @ ( sK8_Q @ SV19 @ SV8 ) @ SV8 ) )
        = $false )
      | ( ( end_point @ SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(226,plain,
    ! [SV43: $i,SV9: $i,SV20: $i] :
      ( ( ! [SY148: $i] :
            ( ( SV20 = SY148 )
            | ! [SY149: $i] :
                ( ~ ( end_point @ SV20 @ SY149 )
                | ~ ( part_of @ SY149 @ SV9 )
                | ~ ( end_point @ SY148 @ SY149 )
                | ~ ( inner_point @ SV43 @ SY149 ) )
            | ( between_c @ SV9 @ SV20 @ SV43 @ SY148 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[199]) ).

thf(227,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ~ ! [SY124: $i,SY125: $i] :
              ( ~ ( between_c @ SV9 @ SV20 @ SY124 @ SY125 )
              | ( SV20 != SY125 ) )
        | ~ ! [SY126: $i,SY127: $i] :
              ( ~ ( between_c @ SV9 @ SV20 @ SY126 @ SY127 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) @ SV9 ) )
                        | ~ ( end_point @ SY127 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) )
                  | ~ ( inner_point @ SY126 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(228,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
          | ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) )
        = $true )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[201]) ).

thf(229,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
          | ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) )
        = $true )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[202]) ).

thf(230,plain,
    ! [SV28: $i,SV36: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV36 )
              | ~ ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV28 ) ) )
        = $true )
      | ( ( part_of @ SV36 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[203]) ).

thf(231,plain,
    ! [SV29: $i,SV37: $i] :
      ( ( ( ~ ( part_of @ SV37 @ SV29 ) )
        = $true )
      | ( ( ! [SY141: $i] :
              ( ~ ( incident_c @ SY141 @ SV37 )
              | ( incident_c @ SY141 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[204]) ).

thf(232,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                      | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
                  | ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                      | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) )
            | ~ ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 )
                | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) )
        | ( SV11
          = ( sum @ SV38 @ SV44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(233,plain,
    ! [SV45: $i,SV39: $i,SV11: $i] :
      ( ( ( SV11
         != ( sum @ SV39 @ SV45 ) )
        | ~ ( ~ ! [SY150: $i] :
                  ( ~ ( incident_c @ SY150 @ SV11 )
                  | ( incident_c @ SY150 @ SV39 )
                  | ( incident_c @ SY150 @ SV45 ) )
            | ~ ~ ( ~ ! [SY145: $i] :
                        ( ~ ( incident_c @ SY145 @ SV39 )
                        | ( incident_c @ SY145 @ SV11 ) )
                  | ~ ! [SY152: $i] :
                        ( ~ ( incident_c @ SY152 @ SV45 )
                        | ( incident_c @ SY152 @ SV11 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[206]) ).

thf(234,plain,
    ! [SV30: $i] :
      ( ( ( closed @ SV30 )
        = $false )
      | ( ( ! [SY137: $i] :
              ~ ( end_point @ SY137 @ SV30 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(235,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
                          | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
                    | ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) ) )
          | ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[209]) ).

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 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[210]) ).

thf(237,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[211]) ).

thf(238,plain,
    ! [SV41: $i,SV33: $i] :
      ( ( ( ~ ( incident_c @ SV33 @ SV41 )
          | ( end_point @ SV33 @ SV41 ) )
        = $true )
      | ( ( inner_point @ SV33 @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[212]) ).

thf(239,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[213]) ).

thf(240,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[214]) ).

thf(241,plain,
    ! [SV34: $i,SV46: $i] :
      ( ( ( ~ ( end_point @ SV46 @ SV34 ) )
        = $true )
      | ( ( open @ SV34 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[215]) ).

thf(242,plain,
    ! [SV35: $i] :
      ( ( ( open @ SV35 )
        = $false )
      | ( ( end_point @ ( sK12_P @ SV35 ) @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[216]) ).

thf(243,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
                  | ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
            | ~ ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
                | ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) ) )
        | ~ ( incident_c @ SV12 @ SV42 )
        | ~ ( incident_c @ SV12 @ SV47 )
        | ( meet @ SV12 @ SV42 @ SV47 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(244,plain,
    ! [SV12: $i] :
      ( ( ~ ! [SY104: $i,SY105: $i] :
              ( ~ ( meet @ SV12 @ SY104 @ SY105 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY104 )
                        | ~ ( incident_c @ SX3 @ SY105 )
                        | ( end_point @ SX3 @ SY104 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY104 )
                        | ~ ( incident_c @ SX3 @ SY105 )
                        | ( end_point @ SX3 @ SY105 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[218]) ).

thf(245,plain,
    ! [SV12: $i] :
      ( ( ~ ~ ( ~ ! [SY108: $i] :
                    ( ! [SY109: $i] :
                        ~ ( meet @ SV12 @ SY108 @ SY109 )
                    | ( incident_c @ SV12 @ SY108 ) )
              | ~ ! [SY110: $i,SY111: $i] :
                    ( ~ ( meet @ SV12 @ SY110 @ SY111 )
                    | ( incident_c @ SV12 @ SY111 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[218]) ).

thf(246,plain,
    ! [SV25: $i,SV22: $i,SV2: $i,SV14: $i] :
      ( ( ( ~ ( part_of @ SV14 @ SV2 )
          | ~ ( part_of @ SV22 @ SV2 ) )
        = $true )
      | ( ( ~ ( part_of @ SV25 @ SV2 ) )
        = $true )
      | ( ( ! [SY133: $i] :
              ( ~ ( end_point @ SY133 @ SV14 )
              | ~ ( end_point @ SY133 @ SV22 )
              | ~ ( end_point @ SY133 @ SV25 ) ) )
        = $true )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[219]) ).

thf(247,plain,
    ! [SV26: $i,SV23: $i,SV4: $i,SV15: $i] :
      ( ( ( ~ ( end_point @ SV15 @ SV4 ) )
        = $true )
      | ( ( ~ ( end_point @ SV23 @ SV4 ) )
        = $true )
      | ( ( ~ ( end_point @ SV26 @ SV4 ) )
        = $true )
      | ( ( ( SV23 = SV26 )
          | ( SV15 = SV23 )
          | ( SV15 = SV26 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[220]) ).

thf(248,plain,
    ! [SV24: $i,SV16: $i,SV5: $i] :
      ( ( ( closed @ SV5 )
        = $false )
      | ( ( ! [SY131: $i] :
              ~ ( meet @ SY131 @ SV16 @ SV24 ) )
        = $true )
      | ( ( ( SV5
           != ( sum @ SV16 @ SV24 ) ) )
        = $true )
      | ( ( ! [SY132: $i] :
              ( ~ ( end_point @ SY132 @ SV16 )
              | ( meet @ SY132 @ SV16 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[221]) ).

thf(249,plain,
    ! [SV18: $i,SV7: $i] :
      ( ( ( SV7
          = ( sum @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) ) )
        = $true )
      | ( ( inner_point @ SV18 @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[222]) ).

thf(250,plain,
    ! [SV7: $i,SV18: $i] :
      ( ( ( meet @ SV18 @ ( sK9_C1 @ SV18 @ SV7 ) @ ( sK10_SY68 @ SV18 @ SV7 ) )
        = $true )
      | ( ( inner_point @ SV18 @ SV7 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[223]) ).

thf(251,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ( ( SV19
           != ( sK8_Q @ SV19 @ SV8 ) ) )
        = $true )
      | ( ( end_point @ SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[224]) ).

thf(252,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ( end_point @ ( sK8_Q @ SV19 @ SV8 ) @ SV8 )
        = $true )
      | ( ( end_point @ SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[225]) ).

thf(253,plain,
    ! [SV43: $i,SV9: $i,SV48: $i,SV20: $i] :
      ( ( ( SV20 = SV48 )
        | ! [SY153: $i] :
            ( ~ ( end_point @ SV20 @ SY153 )
            | ~ ( part_of @ SY153 @ SV9 )
            | ~ ( end_point @ SV48 @ SY153 )
            | ~ ( inner_point @ SV43 @ SY153 ) )
        | ( between_c @ SV9 @ SV20 @ SV43 @ SV48 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[226]) ).

thf(254,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ~ ! [SY124: $i,SY125: $i] :
              ( ~ ( between_c @ SV9 @ SV20 @ SY124 @ SY125 )
              | ( SV20 != SY125 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[227]) ).

thf(255,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ~ ! [SY126: $i,SY127: $i] :
              ( ~ ( between_c @ SV9 @ SV20 @ SY126 @ SY127 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) @ SV9 ) )
                        | ~ ( end_point @ SY127 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) )
                  | ~ ( inner_point @ SY126 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[227]) ).

thf(256,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) )
        = $true )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[228]) ).

thf(257,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
        = $true )
      | ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 )
        = $true )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[229]) ).

thf(258,plain,
    ! [SV28: $i,SV36: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV36 )
          | ~ ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV28 ) )
        = $false )
      | ( ( part_of @ SV36 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(259,plain,
    ! [SV29: $i,SV37: $i] :
      ( ( ( part_of @ SV37 @ SV29 )
        = $false )
      | ( ( ! [SY141: $i] :
              ( ~ ( incident_c @ SY141 @ SV37 )
              | ( incident_c @ SY141 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[231]) ).

thf(260,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                        | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
                    | ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                        | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) )
              | ~ ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                  | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 )
                  | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[232]) ).

thf(261,plain,
    ! [SV45: $i,SV39: $i,SV11: $i] :
      ( ( ( ( SV11
           != ( sum @ SV39 @ SV45 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY150: $i] :
                    ( ~ ( incident_c @ SY150 @ SV11 )
                    | ( incident_c @ SY150 @ SV39 )
                    | ( incident_c @ SY150 @ SV45 ) )
              | ~ ~ ( ~ ! [SY145: $i] :
                          ( ~ ( incident_c @ SY145 @ SV39 )
                          | ( incident_c @ SY145 @ SV11 ) )
                    | ~ ! [SY152: $i] :
                          ( ~ ( incident_c @ SY152 @ SV45 )
                          | ( incident_c @ SY152 @ SV11 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[233]) ).

thf(262,plain,
    ! [SV30: $i,SV49: $i] :
      ( ( ( ~ ( end_point @ SV49 @ SV30 ) )
        = $true )
      | ( ( closed @ SV30 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(263,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
                          | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
                    | ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[235]) ).

thf(264,plain,
    ! [SV50: $i] :
      ( ( ! [SY154: $i] :
            ( ~ ( end_point @ SV50 @ SY154 )
            | ! [SY155: $i,SY156: $i] :
                ( ~ ( part_of @ SY155 @ SY154 )
                | ~ ( part_of @ SY156 @ SY154 )
                | ~ ( incident_c @ SV50 @ SY155 )
                | ~ ( incident_c @ SV50 @ SY156 )
                | ( part_of @ SY155 @ SY156 )
                | ( part_of @ SY156 @ SY155 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(265,plain,
    ! [SV51: $i] :
      ( ( ! [SY157: $i] :
            ( ~ ( end_point @ SV51 @ SY157 )
            | ( incident_c @ SV51 @ SY157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(266,plain,
    ! [SV41: $i,SV33: $i] :
      ( ( ( ~ ( incident_c @ SV33 @ SV41 ) )
        = $true )
      | ( ( end_point @ SV33 @ SV41 )
        = $true )
      | ( ( inner_point @ SV33 @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[238]) ).

thf(267,plain,
    ! [SV52: $i] :
      ( ( ! [SY158: $i] :
            ( ~ ( inner_point @ SV52 @ SY158 )
            | ( incident_c @ SV52 @ SY158 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(268,plain,
    ! [SV53: $i] :
      ( ( ! [SY159: $i] :
            ( ~ ( inner_point @ SV53 @ SY159 )
            | ~ ( end_point @ SV53 @ SY159 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(269,plain,
    ! [SV34: $i,SV46: $i] :
      ( ( ( end_point @ SV46 @ SV34 )
        = $false )
      | ( ( open @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(270,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
                    | ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
                  | ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) ) )
          | ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[243]) ).

thf(271,plain,
    ! [SV12: $i] :
      ( ( ! [SY104: $i,SY105: $i] :
            ( ~ ( meet @ SV12 @ SY104 @ SY105 )
            | ~ ( ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY104 )
                      | ~ ( incident_c @ SX3 @ SY105 )
                      | ( end_point @ SX3 @ SY104 ) )
                | ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY104 )
                      | ~ ( incident_c @ SX3 @ SY105 )
                      | ( end_point @ SX3 @ SY105 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[244]) ).

thf(272,plain,
    ! [SV12: $i] :
      ( ( ~ ( ~ ! [SY108: $i] :
                  ( ! [SY109: $i] :
                      ~ ( meet @ SV12 @ SY108 @ SY109 )
                  | ( incident_c @ SV12 @ SY108 ) )
            | ~ ! [SY110: $i,SY111: $i] :
                  ( ~ ( meet @ SV12 @ SY110 @ SY111 )
                  | ( incident_c @ SV12 @ SY111 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[245]) ).

thf(273,plain,
    ! [SV25: $i,SV22: $i,SV2: $i,SV14: $i] :
      ( ( ( ~ ( part_of @ SV14 @ SV2 ) )
        = $true )
      | ( ( ~ ( part_of @ SV22 @ SV2 ) )
        = $true )
      | ( ( ~ ( part_of @ SV25 @ SV2 ) )
        = $true )
      | ( ( ! [SY133: $i] :
              ( ~ ( end_point @ SY133 @ SV14 )
              | ~ ( end_point @ SY133 @ SV22 )
              | ~ ( end_point @ SY133 @ SV25 ) ) )
        = $true )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[246]) ).

thf(274,plain,
    ! [SV26: $i,SV23: $i,SV4: $i,SV15: $i] :
      ( ( ( end_point @ SV15 @ SV4 )
        = $false )
      | ( ( ~ ( end_point @ SV23 @ SV4 ) )
        = $true )
      | ( ( ~ ( end_point @ SV26 @ SV4 ) )
        = $true )
      | ( ( ( SV23 = SV26 )
          | ( SV15 = SV23 )
          | ( SV15 = SV26 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[247]) ).

thf(275,plain,
    ! [SV5: $i,SV24: $i,SV16: $i,SV54: $i] :
      ( ( ( ~ ( meet @ SV54 @ SV16 @ SV24 ) )
        = $true )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( ( SV5
           != ( sum @ SV16 @ SV24 ) ) )
        = $true )
      | ( ( ! [SY132: $i] :
              ( ~ ( end_point @ SY132 @ SV16 )
              | ( meet @ SY132 @ SV16 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(276,plain,
    ! [SV8: $i,SV19: $i] :
      ( ( ( SV19
          = ( sK8_Q @ SV19 @ SV8 ) )
        = $false )
      | ( ( end_point @ SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(277,plain,
    ! [SV43: $i,SV9: $i,SV48: $i,SV20: $i] :
      ( ( ( ( SV20 = SV48 )
          | ! [SY153: $i] :
              ( ~ ( end_point @ SV20 @ SY153 )
              | ~ ( part_of @ SY153 @ SV9 )
              | ~ ( end_point @ SV48 @ SY153 )
              | ~ ( inner_point @ SV43 @ SY153 ) ) )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[253]) ).

thf(278,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ! [SY124: $i,SY125: $i] :
            ( ~ ( between_c @ SV9 @ SV20 @ SY124 @ SY125 )
            | ( SV20 != SY125 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[254]) ).

thf(279,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ! [SY126: $i,SY127: $i] :
            ( ~ ( between_c @ SV9 @ SV20 @ SY126 @ SY127 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) @ SV9 ) )
                      | ~ ( end_point @ SY127 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) )
                | ~ ( inner_point @ SY126 @ ( sK5_Cpp @ SY127 @ SY126 @ SV20 @ SV9 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[255]) ).

thf(280,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 ) )
        = $true )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[256]) ).

thf(281,plain,
    ! [SV28: $i,SV36: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV36 ) )
        = $false )
      | ( ( part_of @ SV36 @ SV28 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(282,plain,
    ! [SV28: $i,SV36: $i] :
      ( ( ( ~ ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV28 ) )
        = $false )
      | ( ( part_of @ SV36 @ SV28 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(283,plain,
    ! [SV29: $i,SV37: $i,SV55: $i] :
      ( ( ( ~ ( incident_c @ SV55 @ SV37 )
          | ( incident_c @ SV55 @ SV29 ) )
        = $true )
      | ( ( part_of @ SV37 @ SV29 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(284,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                    | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                    | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) )
          | ~ ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
              | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 )
              | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[260]) ).

thf(285,plain,
    ! [SV45: $i,SV39: $i,SV11: $i] :
      ( ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY150: $i] :
                    ( ~ ( incident_c @ SY150 @ SV11 )
                    | ( incident_c @ SY150 @ SV39 )
                    | ( incident_c @ SY150 @ SV45 ) )
              | ~ ~ ( ~ ! [SY145: $i] :
                          ( ~ ( incident_c @ SY145 @ SV39 )
                          | ( incident_c @ SY145 @ SV11 ) )
                    | ~ ! [SY152: $i] :
                          ( ~ ( incident_c @ SY152 @ SV45 )
                          | ( incident_c @ SY152 @ SV11 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(286,plain,
    ! [SV30: $i,SV49: $i] :
      ( ( ( end_point @ SV49 @ SV30 )
        = $false )
      | ( ( closed @ SV30 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[262]) ).

thf(287,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
                      | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
                | ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) ) )
          | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(288,plain,
    ! [SV56: $i,SV50: $i] :
      ( ( ~ ( end_point @ SV50 @ SV56 )
        | ! [SY160: $i,SY161: $i] :
            ( ~ ( part_of @ SY160 @ SV56 )
            | ~ ( part_of @ SY161 @ SV56 )
            | ~ ( incident_c @ SV50 @ SY160 )
            | ~ ( incident_c @ SV50 @ SY161 )
            | ( part_of @ SY160 @ SY161 )
            | ( part_of @ SY161 @ SY160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(289,plain,
    ! [SV57: $i,SV51: $i] :
      ( ( ~ ( end_point @ SV51 @ SV57 )
        | ( incident_c @ SV51 @ SV57 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(290,plain,
    ! [SV41: $i,SV33: $i] :
      ( ( ( incident_c @ SV33 @ SV41 )
        = $false )
      | ( ( end_point @ SV33 @ SV41 )
        = $true )
      | ( ( inner_point @ SV33 @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[266]) ).

thf(291,plain,
    ! [SV58: $i,SV52: $i] :
      ( ( ~ ( inner_point @ SV52 @ SV58 )
        | ( incident_c @ SV52 @ SV58 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(292,plain,
    ! [SV59: $i,SV53: $i] :
      ( ( ~ ( inner_point @ SV53 @ SV59 )
        | ~ ( end_point @ SV53 @ SV59 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(293,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
                    | ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
                  | ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[270]) ).

thf(294,plain,
    ! [SV60: $i,SV12: $i] :
      ( ( ! [SY162: $i] :
            ( ~ ( meet @ SV12 @ SV60 @ SY162 )
            | ~ ( ~ ! [SY163: $i] :
                      ( ~ ( incident_c @ SY163 @ SV60 )
                      | ~ ( incident_c @ SY163 @ SY162 )
                      | ( end_point @ SY163 @ SV60 ) )
                | ~ ! [SY164: $i] :
                      ( ~ ( incident_c @ SY164 @ SV60 )
                      | ~ ( incident_c @ SY164 @ SY162 )
                      | ( end_point @ SY164 @ SY162 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(295,plain,
    ! [SV12: $i] :
      ( ( ~ ! [SY108: $i] :
              ( ! [SY109: $i] :
                  ~ ( meet @ SV12 @ SY108 @ SY109 )
              | ( incident_c @ SV12 @ SY108 ) )
        | ~ ! [SY110: $i,SY111: $i] :
              ( ~ ( meet @ SV12 @ SY110 @ SY111 )
              | ( incident_c @ SV12 @ SY111 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[272]) ).

thf(296,plain,
    ! [SV25: $i,SV22: $i,SV2: $i,SV14: $i] :
      ( ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( ~ ( part_of @ SV22 @ SV2 ) )
        = $true )
      | ( ( ~ ( part_of @ SV25 @ SV2 ) )
        = $true )
      | ( ( ! [SY133: $i] :
              ( ~ ( end_point @ SY133 @ SV14 )
              | ~ ( end_point @ SY133 @ SV22 )
              | ~ ( end_point @ SY133 @ SV25 ) ) )
        = $true )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[273]) ).

thf(297,plain,
    ! [SV26: $i,SV15: $i,SV4: $i,SV23: $i] :
      ( ( ( end_point @ SV23 @ SV4 )
        = $false )
      | ( ( end_point @ SV15 @ SV4 )
        = $false )
      | ( ( ~ ( end_point @ SV26 @ SV4 ) )
        = $true )
      | ( ( ( SV23 = SV26 )
          | ( SV15 = SV23 )
          | ( SV15 = SV26 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[274]) ).

thf(298,plain,
    ! [SV5: $i,SV24: $i,SV16: $i,SV54: $i] :
      ( ( ( meet @ SV54 @ SV16 @ SV24 )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( ( SV5
           != ( sum @ SV16 @ SV24 ) ) )
        = $true )
      | ( ( ! [SY132: $i] :
              ( ~ ( end_point @ SY132 @ SV16 )
              | ( meet @ SY132 @ SV16 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[275]) ).

thf(299,plain,
    ! [SV43: $i,SV9: $i,SV48: $i,SV20: $i] :
      ( ( ( SV20 = SV48 )
        = $true )
      | ( ( ! [SY153: $i] :
              ( ~ ( end_point @ SV20 @ SY153 )
              | ~ ( part_of @ SY153 @ SV9 )
              | ~ ( end_point @ SV48 @ SY153 )
              | ~ ( inner_point @ SV43 @ SY153 ) ) )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[277]) ).

thf(300,plain,
    ! [SV61: $i,SV20: $i,SV9: $i] :
      ( ( ! [SY165: $i] :
            ( ~ ( between_c @ SV9 @ SV20 @ SV61 @ SY165 )
            | ( SV20 != SY165 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(301,plain,
    ! [SV62: $i,SV20: $i,SV9: $i] :
      ( ( ! [SY166: $i] :
            ( ~ ( between_c @ SV9 @ SV20 @ SV62 @ SY166 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SY166 @ SV62 @ SV20 @ SV9 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY166 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
                      | ~ ( end_point @ SY166 @ ( sK5_Cpp @ SY166 @ SV62 @ SV20 @ SV9 ) ) )
                | ~ ( inner_point @ SV62 @ ( sK5_Cpp @ SY166 @ SV62 @ SV20 @ SV9 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(302,plain,
    ! [SV10: $i,SV21: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV21 )
        = $false )
      | ( ( incident_c @ ( sK6_P @ SV21 @ SV10 ) @ SV10 )
        = $false )
      | ( ( SV10 = SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(303,plain,
    ! [SV28: $i,SV36: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV36 )
        = $true )
      | ( ( part_of @ SV36 @ SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[281]) ).

thf(304,plain,
    ! [SV28: $i,SV36: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV28 ) )
        = $true )
      | ( ( part_of @ SV36 @ SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[282]) ).

thf(305,plain,
    ! [SV29: $i,SV37: $i,SV55: $i] :
      ( ( ( ~ ( incident_c @ SV55 @ SV37 ) )
        = $true )
      | ( ( incident_c @ SV55 @ SV29 )
        = $true )
      | ( ( part_of @ SV37 @ SV29 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[283]) ).

thf(306,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                    | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                    | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[284]) ).

thf(307,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
              | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 )
              | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[284]) ).

thf(308,plain,
    ! [SV45: $i,SV39: $i,SV11: $i] :
      ( ( ( ~ ! [SY150: $i] :
                ( ~ ( incident_c @ SY150 @ SV11 )
                | ( incident_c @ SY150 @ SV39 )
                | ( incident_c @ SY150 @ SV45 ) )
          | ~ ~ ( ~ ! [SY145: $i] :
                      ( ~ ( incident_c @ SY145 @ SV39 )
                      | ( incident_c @ SY145 @ SV11 ) )
                | ~ ! [SY152: $i] :
                      ( ~ ( incident_c @ SY152 @ SV45 )
                      | ( incident_c @ SY152 @ SV11 ) ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[285]) ).

thf(309,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
                      | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
                | ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(310,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(311,plain,
    ! [SV56: $i,SV50: $i] :
      ( ( ( ~ ( end_point @ SV50 @ SV56 ) )
        = $true )
      | ( ( ! [SY160: $i,SY161: $i] :
              ( ~ ( part_of @ SY160 @ SV56 )
              | ~ ( part_of @ SY161 @ SV56 )
              | ~ ( incident_c @ SV50 @ SY160 )
              | ~ ( incident_c @ SV50 @ SY161 )
              | ( part_of @ SY160 @ SY161 )
              | ( part_of @ SY161 @ SY160 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(312,plain,
    ! [SV57: $i,SV51: $i] :
      ( ( ( ~ ( end_point @ SV51 @ SV57 ) )
        = $true )
      | ( ( incident_c @ SV51 @ SV57 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[289]) ).

thf(313,plain,
    ! [SV58: $i,SV52: $i] :
      ( ( ( ~ ( inner_point @ SV52 @ SV58 ) )
        = $true )
      | ( ( incident_c @ SV52 @ SV58 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[291]) ).

thf(314,plain,
    ! [SV59: $i,SV53: $i] :
      ( ( ( ~ ( inner_point @ SV53 @ SV59 ) )
        = $true )
      | ( ( ~ ( end_point @ SV53 @ SV59 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(315,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
                | ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
          | ~ ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
              | ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[293]) ).

thf(316,plain,
    ! [SV63: $i,SV60: $i,SV12: $i] :
      ( ( ~ ( meet @ SV12 @ SV60 @ SV63 )
        | ~ ( ~ ! [SY167: $i] :
                  ( ~ ( incident_c @ SY167 @ SV60 )
                  | ~ ( incident_c @ SY167 @ SV63 )
                  | ( end_point @ SY167 @ SV60 ) )
            | ~ ! [SY168: $i] :
                  ( ~ ( incident_c @ SY168 @ SV60 )
                  | ~ ( incident_c @ SY168 @ SV63 )
                  | ( end_point @ SY168 @ SV63 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(317,plain,
    ! [SV12: $i] :
      ( ( ~ ! [SY108: $i] :
              ( ! [SY109: $i] :
                  ~ ( meet @ SV12 @ SY108 @ SY109 )
              | ( incident_c @ SV12 @ SY108 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[295]) ).

thf(318,plain,
    ! [SV12: $i] :
      ( ( ~ ! [SY110: $i,SY111: $i] :
              ( ~ ( meet @ SV12 @ SY110 @ SY111 )
              | ( incident_c @ SV12 @ SY111 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[295]) ).

thf(319,plain,
    ! [SV25: $i,SV14: $i,SV2: $i,SV22: $i] :
      ( ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( ~ ( part_of @ SV25 @ SV2 ) )
        = $true )
      | ( ( ! [SY133: $i] :
              ( ~ ( end_point @ SY133 @ SV14 )
              | ~ ( end_point @ SY133 @ SV22 )
              | ~ ( end_point @ SY133 @ SV25 ) ) )
        = $true )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[296]) ).

thf(320,plain,
    ! [SV23: $i,SV15: $i,SV4: $i,SV26: $i] :
      ( ( ( end_point @ SV26 @ SV4 )
        = $false )
      | ( ( end_point @ SV15 @ SV4 )
        = $false )
      | ( ( end_point @ SV23 @ SV4 )
        = $false )
      | ( ( ( SV23 = SV26 )
          | ( SV15 = SV23 )
          | ( SV15 = SV26 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[297]) ).

thf(321,plain,
    ! [SV54: $i,SV24: $i,SV16: $i,SV5: $i] :
      ( ( ( SV5
          = ( sum @ SV16 @ SV24 ) )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( meet @ SV54 @ SV16 @ SV24 )
        = $false )
      | ( ( ! [SY132: $i] :
              ( ~ ( end_point @ SY132 @ SV16 )
              | ( meet @ SY132 @ SV16 @ SV24 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[298]) ).

thf(322,plain,
    ! [SV43: $i,SV48: $i,SV9: $i,SV64: $i,SV20: $i] :
      ( ( ( ~ ( end_point @ SV20 @ SV64 )
          | ~ ( part_of @ SV64 @ SV9 )
          | ~ ( end_point @ SV48 @ SV64 )
          | ~ ( inner_point @ SV43 @ SV64 ) )
        = $true )
      | ( ( SV20 = SV48 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(323,plain,
    ! [SV65: $i,SV61: $i,SV20: $i,SV9: $i] :
      ( ( ~ ( between_c @ SV9 @ SV20 @ SV61 @ SV65 )
        | ( SV20 != SV65 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(324,plain,
    ! [SV66: $i,SV62: $i,SV20: $i,SV9: $i] :
      ( ( ~ ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
                        | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
                  | ~ ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
            | ~ ( inner_point @ SV62 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(325,plain,
    ! [SV28: $i,SV36: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV36 @ SV28 ) @ SV28 )
        = $false )
      | ( ( part_of @ SV36 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[304]) ).

thf(326,plain,
    ! [SV29: $i,SV37: $i,SV55: $i] :
      ( ( ( incident_c @ SV55 @ SV37 )
        = $false )
      | ( ( incident_c @ SV55 @ SV29 )
        = $true )
      | ( ( part_of @ SV37 @ SV29 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[305]) ).

thf(327,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                  | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
              | ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
                  | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[306]) ).

thf(328,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
          | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 )
          | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[307]) ).

thf(329,plain,
    ! [SV45: $i,SV39: $i,SV11: $i] :
      ( ( ( ~ ! [SY150: $i] :
                ( ~ ( incident_c @ SY150 @ SV11 )
                | ( incident_c @ SY150 @ SV39 )
                | ( incident_c @ SY150 @ SV45 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[308]) ).

thf(330,plain,
    ! [SV45: $i,SV11: $i,SV39: $i] :
      ( ( ( ~ ~ ( ~ ! [SY145: $i] :
                      ( ~ ( incident_c @ SY145 @ SV39 )
                      | ( incident_c @ SY145 @ SV11 ) )
                | ~ ! [SY152: $i] :
                      ( ~ ( incident_c @ SY152 @ SV45 )
                      | ( incident_c @ SY152 @ SV11 ) ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[308]) ).

thf(331,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                          | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
                    | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
              | ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[309]) ).

thf(332,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
              | ~ ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[310]) ).

thf(333,plain,
    ! [SV56: $i,SV50: $i] :
      ( ( ( end_point @ SV50 @ SV56 )
        = $false )
      | ( ( ! [SY160: $i,SY161: $i] :
              ( ~ ( part_of @ SY160 @ SV56 )
              | ~ ( part_of @ SY161 @ SV56 )
              | ~ ( incident_c @ SV50 @ SY160 )
              | ~ ( incident_c @ SV50 @ SY161 )
              | ( part_of @ SY160 @ SY161 )
              | ( part_of @ SY161 @ SY160 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[311]) ).

thf(334,plain,
    ! [SV57: $i,SV51: $i] :
      ( ( ( end_point @ SV51 @ SV57 )
        = $false )
      | ( ( incident_c @ SV51 @ SV57 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[312]) ).

thf(335,plain,
    ! [SV58: $i,SV52: $i] :
      ( ( ( inner_point @ SV52 @ SV58 )
        = $false )
      | ( ( incident_c @ SV52 @ SV58 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[313]) ).

thf(336,plain,
    ! [SV59: $i,SV53: $i] :
      ( ( ( inner_point @ SV53 @ SV59 )
        = $false )
      | ( ( ~ ( end_point @ SV53 @ SV59 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[314]) ).

thf(337,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
                | ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[315]) ).

thf(338,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
              | ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[315]) ).

thf(339,plain,
    ! [SV63: $i,SV60: $i,SV12: $i] :
      ( ( ( ~ ( meet @ SV12 @ SV60 @ SV63 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY167: $i] :
                    ( ~ ( incident_c @ SY167 @ SV60 )
                    | ~ ( incident_c @ SY167 @ SV63 )
                    | ( end_point @ SY167 @ SV60 ) )
              | ~ ! [SY168: $i] :
                    ( ~ ( incident_c @ SY168 @ SV60 )
                    | ~ ( incident_c @ SY168 @ SV63 )
                    | ( end_point @ SY168 @ SV63 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[316]) ).

thf(340,plain,
    ! [SV12: $i] :
      ( ( ! [SY108: $i] :
            ( ! [SY109: $i] :
                ~ ( meet @ SV12 @ SY108 @ SY109 )
            | ( incident_c @ SV12 @ SY108 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[317]) ).

thf(341,plain,
    ! [SV12: $i] :
      ( ( ! [SY110: $i,SY111: $i] :
            ( ~ ( meet @ SV12 @ SY110 @ SY111 )
            | ( incident_c @ SV12 @ SY111 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[318]) ).

thf(342,plain,
    ! [SV22: $i,SV14: $i,SV2: $i,SV25: $i] :
      ( ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( ! [SY133: $i] :
              ( ~ ( end_point @ SY133 @ SV14 )
              | ~ ( end_point @ SY133 @ SV22 )
              | ~ ( end_point @ SY133 @ SV25 ) ) )
        = $true )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[319]) ).

thf(343,plain,
    ! [SV4: $i,SV15: $i,SV26: $i,SV23: $i] :
      ( ( ( SV23 = SV26 )
        = $true )
      | ( ( ( SV15 = SV23 )
          | ( SV15 = SV26 ) )
        = $true )
      | ( ( end_point @ SV23 @ SV4 )
        = $false )
      | ( ( end_point @ SV15 @ SV4 )
        = $false )
      | ( ( end_point @ SV26 @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(344,plain,
    ! [SV5: $i,SV54: $i,SV24: $i,SV16: $i,SV67: $i] :
      ( ( ( ~ ( end_point @ SV67 @ SV16 )
          | ( meet @ SV67 @ SV16 @ SV24 ) )
        = $true )
      | ( ( meet @ SV54 @ SV16 @ SV24 )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( SV5
          = ( sum @ SV16 @ SV24 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(345,plain,
    ! [SV43: $i,SV48: $i,SV9: $i,SV64: $i,SV20: $i] :
      ( ( ( ~ ( end_point @ SV20 @ SV64 )
          | ~ ( part_of @ SV64 @ SV9 )
          | ~ ( end_point @ SV48 @ SV64 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV43 @ SV64 ) )
        = $true )
      | ( ( SV20 = SV48 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[322]) ).

thf(346,plain,
    ! [SV65: $i,SV61: $i,SV20: $i,SV9: $i] :
      ( ( ( ~ ( between_c @ SV9 @ SV20 @ SV61 @ SV65 ) )
        = $true )
      | ( ( ( SV20 != SV65 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[323]) ).

thf(347,plain,
    ! [SV66: $i,SV62: $i,SV20: $i,SV9: $i] :
      ( ( ( ~ ( between_c @ SV9 @ SV20 @ SV62 @ SV66 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
                    | ~ ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
              | ~ ( inner_point @ SV62 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(348,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
              | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
          | ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
              | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[327]) ).

thf(349,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
        = $true )
      | ( ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 )
          | ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[328]) ).

thf(350,plain,
    ! [SV45: $i,SV39: $i,SV11: $i] :
      ( ( ( ! [SY150: $i] :
              ( ~ ( incident_c @ SY150 @ SV11 )
              | ( incident_c @ SY150 @ SV39 )
              | ( incident_c @ SY150 @ SV45 ) ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[329]) ).

thf(351,plain,
    ! [SV45: $i,SV11: $i,SV39: $i] :
      ( ( ( ~ ( ~ ! [SY145: $i] :
                    ( ~ ( incident_c @ SY145 @ SV39 )
                    | ( incident_c @ SY145 @ SV11 ) )
              | ~ ! [SY152: $i] :
                    ( ~ ( incident_c @ SY152 @ SV45 )
                    | ( incident_c @ SY152 @ SV11 ) ) ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[330]) ).

thf(352,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
                | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
          | ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(353,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
          | ~ ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[332]) ).

thf(354,plain,
    ! [SV50: $i,SV56: $i,SV68: $i] :
      ( ( ( ! [SY169: $i] :
              ( ~ ( part_of @ SV68 @ SV56 )
              | ~ ( part_of @ SY169 @ SV56 )
              | ~ ( incident_c @ SV50 @ SV68 )
              | ~ ( incident_c @ SV50 @ SY169 )
              | ( part_of @ SV68 @ SY169 )
              | ( part_of @ SY169 @ SV68 ) ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(355,plain,
    ! [SV59: $i,SV53: $i] :
      ( ( ( end_point @ SV53 @ SV59 )
        = $false )
      | ( ( inner_point @ SV53 @ SV59 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[336]) ).

thf(356,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
              | ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[337]) ).

thf(357,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
          | ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[338]) ).

thf(358,plain,
    ! [SV63: $i,SV60: $i,SV12: $i] :
      ( ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false )
      | ( ( ~ ( ~ ! [SY167: $i] :
                    ( ~ ( incident_c @ SY167 @ SV60 )
                    | ~ ( incident_c @ SY167 @ SV63 )
                    | ( end_point @ SY167 @ SV60 ) )
              | ~ ! [SY168: $i] :
                    ( ~ ( incident_c @ SY168 @ SV60 )
                    | ~ ( incident_c @ SY168 @ SV63 )
                    | ( end_point @ SY168 @ SV63 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[339]) ).

thf(359,plain,
    ! [SV69: $i,SV12: $i] :
      ( ( ! [SY170: $i] :
            ~ ( meet @ SV12 @ SV69 @ SY170 )
        | ( incident_c @ SV12 @ SV69 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(360,plain,
    ! [SV70: $i,SV12: $i] :
      ( ( ! [SY171: $i] :
            ( ~ ( meet @ SV12 @ SV70 @ SY171 )
            | ( incident_c @ SV12 @ SY171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(361,plain,
    ! [SV2: $i,SV25: $i,SV22: $i,SV14: $i,SV71: $i] :
      ( ( ( ~ ( end_point @ SV71 @ SV14 )
          | ~ ( end_point @ SV71 @ SV22 )
          | ~ ( end_point @ SV71 @ SV25 ) )
        = $true )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(362,plain,
    ! [SV4: $i,SV26: $i,SV23: $i,SV15: $i] :
      ( ( ( SV15 = SV23 )
        = $true )
      | ( ( SV15 = SV26 )
        = $true )
      | ( ( SV23 = SV26 )
        = $true )
      | ( ( end_point @ SV23 @ SV4 )
        = $false )
      | ( ( end_point @ SV15 @ SV4 )
        = $false )
      | ( ( end_point @ SV26 @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[343]) ).

thf(363,plain,
    ! [SV5: $i,SV54: $i,SV24: $i,SV16: $i,SV67: $i] :
      ( ( ( ~ ( end_point @ SV67 @ SV16 ) )
        = $true )
      | ( ( meet @ SV67 @ SV16 @ SV24 )
        = $true )
      | ( ( meet @ SV54 @ SV16 @ SV24 )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( SV5
          = ( sum @ SV16 @ SV24 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[344]) ).

thf(364,plain,
    ! [SV43: $i,SV48: $i,SV9: $i,SV64: $i,SV20: $i] :
      ( ( ( ~ ( end_point @ SV20 @ SV64 )
          | ~ ( part_of @ SV64 @ SV9 ) )
        = $true )
      | ( ( ~ ( end_point @ SV48 @ SV64 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV43 @ SV64 ) )
        = $true )
      | ( ( SV20 = SV48 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[345]) ).

thf(365,plain,
    ! [SV65: $i,SV61: $i,SV20: $i,SV9: $i] :
      ( ( ( between_c @ SV9 @ SV20 @ SV61 @ SV65 )
        = $false )
      | ( ( ( SV20 != SV65 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[346]) ).

thf(366,plain,
    ! [SV66: $i,SV62: $i,SV20: $i,SV9: $i] :
      ( ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
                    | ~ ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
              | ~ ( inner_point @ SV62 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(367,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
              | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[348]) ).

thf(368,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
              | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[348]) ).

thf(369,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[349]) ).

thf(370,plain,
    ! [SV45: $i,SV39: $i,SV11: $i,SV72: $i] :
      ( ( ( ~ ( incident_c @ SV72 @ SV11 )
          | ( incident_c @ SV72 @ SV39 )
          | ( incident_c @ SV72 @ SV45 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(371,plain,
    ! [SV45: $i,SV11: $i,SV39: $i] :
      ( ( ( ~ ! [SY145: $i] :
                ( ~ ( incident_c @ SY145 @ SV39 )
                | ( incident_c @ SY145 @ SV11 ) )
          | ~ ! [SY152: $i] :
                ( ~ ( incident_c @ SY152 @ SV45 )
                | ( incident_c @ SY152 @ SV11 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(372,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
                | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[352]) ).

thf(373,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( ~ ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[352]) ).

thf(374,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[353]) ).

thf(375,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[353]) ).

thf(376,plain,
    ! [SV50: $i,SV73: $i,SV56: $i,SV68: $i] :
      ( ( ( ~ ( part_of @ SV68 @ SV56 )
          | ~ ( part_of @ SV73 @ SV56 )
          | ~ ( incident_c @ SV50 @ SV68 )
          | ~ ( incident_c @ SV50 @ SV73 )
          | ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(377,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
          | ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(378,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 ) )
        = $true )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[357]) ).

thf(379,plain,
    ! [SV12: $i,SV63: $i,SV60: $i] :
      ( ( ( ~ ! [SY167: $i] :
                ( ~ ( incident_c @ SY167 @ SV60 )
                | ~ ( incident_c @ SY167 @ SV63 )
                | ( end_point @ SY167 @ SV60 ) )
          | ~ ! [SY168: $i] :
                ( ~ ( incident_c @ SY168 @ SV60 )
                | ~ ( incident_c @ SY168 @ SV63 )
                | ( end_point @ SY168 @ SV63 ) ) )
        = $false )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[358]) ).

thf(380,plain,
    ! [SV69: $i,SV12: $i] :
      ( ( ( ! [SY170: $i] :
              ~ ( meet @ SV12 @ SV69 @ SY170 ) )
        = $true )
      | ( ( incident_c @ SV12 @ SV69 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[359]) ).

thf(381,plain,
    ! [SV74: $i,SV70: $i,SV12: $i] :
      ( ( ~ ( meet @ SV12 @ SV70 @ SV74 )
        | ( incident_c @ SV12 @ SV74 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(382,plain,
    ! [SV2: $i,SV25: $i,SV22: $i,SV14: $i,SV71: $i] :
      ( ( ( ~ ( end_point @ SV71 @ SV14 )
          | ~ ( end_point @ SV71 @ SV22 ) )
        = $true )
      | ( ( ~ ( end_point @ SV71 @ SV25 ) )
        = $true )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[361]) ).

thf(383,plain,
    ! [SV5: $i,SV54: $i,SV24: $i,SV16: $i,SV67: $i] :
      ( ( ( end_point @ SV67 @ SV16 )
        = $false )
      | ( ( meet @ SV67 @ SV16 @ SV24 )
        = $true )
      | ( ( meet @ SV54 @ SV16 @ SV24 )
        = $false )
      | ( ( closed @ SV5 )
        = $false )
      | ( ( SV5
          = ( sum @ SV16 @ SV24 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[363]) ).

thf(384,plain,
    ! [SV43: $i,SV48: $i,SV9: $i,SV64: $i,SV20: $i] :
      ( ( ( ~ ( end_point @ SV20 @ SV64 ) )
        = $true )
      | ( ( ~ ( part_of @ SV64 @ SV9 ) )
        = $true )
      | ( ( ~ ( end_point @ SV48 @ SV64 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV43 @ SV64 ) )
        = $true )
      | ( ( SV20 = SV48 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[364]) ).

thf(385,plain,
    ! [SV61: $i,SV9: $i,SV65: $i,SV20: $i] :
      ( ( ( SV20 = SV65 )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV61 @ SV65 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[365]) ).

thf(386,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
                | ~ ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
          | ~ ( inner_point @ SV62 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(387,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
          | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[367]) ).

thf(388,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
          | ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[368]) ).

thf(389,plain,
    ! [SV45: $i,SV39: $i,SV11: $i,SV72: $i] :
      ( ( ( ~ ( incident_c @ SV72 @ SV11 ) )
        = $true )
      | ( ( ( incident_c @ SV72 @ SV39 )
          | ( incident_c @ SV72 @ SV45 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[370]) ).

thf(390,plain,
    ! [SV45: $i,SV11: $i,SV39: $i] :
      ( ( ( ~ ! [SY145: $i] :
                ( ~ ( incident_c @ SY145 @ SV39 )
                | ( incident_c @ SY145 @ SV11 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[371]) ).

thf(391,plain,
    ! [SV39: $i,SV11: $i,SV45: $i] :
      ( ( ( ~ ! [SY152: $i] :
                ( ~ ( incident_c @ SY152 @ SV45 )
                | ( incident_c @ SY152 @ SV11 ) ) )
        = $false )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[371]) ).

thf(392,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                    | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
              | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[372]) ).

thf(393,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[373]) ).

thf(394,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[374]) ).

thf(395,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[375]) ).

thf(396,plain,
    ! [SV50: $i,SV73: $i,SV56: $i,SV68: $i] :
      ( ( ( ~ ( part_of @ SV68 @ SV56 )
          | ~ ( part_of @ SV73 @ SV56 )
          | ~ ( incident_c @ SV50 @ SV68 )
          | ~ ( incident_c @ SV50 @ SV73 ) )
        = $true )
      | ( ( ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[376]) ).

thf(397,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[377]) ).

thf(398,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[377]) ).

thf(399,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $false )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[378]) ).

thf(400,plain,
    ! [SV12: $i,SV63: $i,SV60: $i] :
      ( ( ( ~ ! [SY167: $i] :
                ( ~ ( incident_c @ SY167 @ SV60 )
                | ~ ( incident_c @ SY167 @ SV63 )
                | ( end_point @ SY167 @ SV60 ) ) )
        = $false )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[379]) ).

thf(401,plain,
    ! [SV12: $i,SV63: $i,SV60: $i] :
      ( ( ( ~ ! [SY168: $i] :
                ( ~ ( incident_c @ SY168 @ SV60 )
                | ~ ( incident_c @ SY168 @ SV63 )
                | ( end_point @ SY168 @ SV63 ) ) )
        = $false )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[379]) ).

thf(402,plain,
    ! [SV75: $i,SV69: $i,SV12: $i] :
      ( ( ( ~ ( meet @ SV12 @ SV69 @ SV75 ) )
        = $true )
      | ( ( incident_c @ SV12 @ SV69 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(403,plain,
    ! [SV74: $i,SV70: $i,SV12: $i] :
      ( ( ( ~ ( meet @ SV12 @ SV70 @ SV74 ) )
        = $true )
      | ( ( incident_c @ SV12 @ SV74 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[381]) ).

thf(404,plain,
    ! [SV2: $i,SV25: $i,SV22: $i,SV14: $i,SV71: $i] :
      ( ( ( ~ ( end_point @ SV71 @ SV14 ) )
        = $true )
      | ( ( ~ ( end_point @ SV71 @ SV22 ) )
        = $true )
      | ( ( ~ ( end_point @ SV71 @ SV25 ) )
        = $true )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[382]) ).

thf(405,plain,
    ! [SV43: $i,SV48: $i,SV9: $i,SV64: $i,SV20: $i] :
      ( ( ( end_point @ SV20 @ SV64 )
        = $false )
      | ( ( ~ ( part_of @ SV64 @ SV9 ) )
        = $true )
      | ( ( ~ ( end_point @ SV48 @ SV64 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV43 @ SV64 ) )
        = $true )
      | ( ( SV20 = SV48 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[384]) ).

thf(406,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
                | ~ ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[386]) ).

thf(407,plain,
    ! [SV9: $i,SV20: $i,SV66: $i,SV62: $i] :
      ( ( ( ~ ( inner_point @ SV62 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[386]) ).

thf(408,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(409,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[388]) ).

thf(410,plain,
    ! [SV45: $i,SV39: $i,SV11: $i,SV72: $i] :
      ( ( ( incident_c @ SV72 @ SV11 )
        = $false )
      | ( ( ( incident_c @ SV72 @ SV39 )
          | ( incident_c @ SV72 @ SV45 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(411,plain,
    ! [SV45: $i,SV11: $i,SV39: $i] :
      ( ( ( ! [SY145: $i] :
              ( ~ ( incident_c @ SY145 @ SV39 )
              | ( incident_c @ SY145 @ SV11 ) ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[390]) ).

thf(412,plain,
    ! [SV39: $i,SV11: $i,SV45: $i] :
      ( ( ( ! [SY152: $i] :
              ( ~ ( incident_c @ SY152 @ SV45 )
              | ( incident_c @ SY152 @ SV11 ) ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[391]) ).

thf(413,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
          | ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(414,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( incident_c @ SV32 @ SV40 )
        = $false )
      | ( ( incident_c @ SV32 @ ( sK16_SY69 @ SV40 @ SV32 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(415,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(416,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[395]) ).

thf(417,plain,
    ! [SV50: $i,SV73: $i,SV56: $i,SV68: $i] :
      ( ( ( ~ ( part_of @ SV68 @ SV56 )
          | ~ ( part_of @ SV73 @ SV56 )
          | ~ ( incident_c @ SV50 @ SV68 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV50 @ SV73 ) )
        = $true )
      | ( ( ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[396]) ).

thf(418,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[397]) ).

thf(419,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[398]) ).

thf(420,plain,
    ! [SV12: $i,SV42: $i,SV47: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV42 )
          | ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[399]) ).

thf(421,plain,
    ! [SV12: $i,SV63: $i,SV60: $i] :
      ( ( ( ! [SY167: $i] :
              ( ~ ( incident_c @ SY167 @ SV60 )
              | ~ ( incident_c @ SY167 @ SV63 )
              | ( end_point @ SY167 @ SV60 ) ) )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[400]) ).

thf(422,plain,
    ! [SV12: $i,SV63: $i,SV60: $i] :
      ( ( ( ! [SY168: $i] :
              ( ~ ( incident_c @ SY168 @ SV60 )
              | ~ ( incident_c @ SY168 @ SV63 )
              | ( end_point @ SY168 @ SV63 ) ) )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[401]) ).

thf(423,plain,
    ! [SV75: $i,SV69: $i,SV12: $i] :
      ( ( ( meet @ SV12 @ SV69 @ SV75 )
        = $false )
      | ( ( incident_c @ SV12 @ SV69 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[402]) ).

thf(424,plain,
    ! [SV74: $i,SV70: $i,SV12: $i] :
      ( ( ( meet @ SV12 @ SV70 @ SV74 )
        = $false )
      | ( ( incident_c @ SV12 @ SV74 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[403]) ).

thf(425,plain,
    ! [SV2: $i,SV25: $i,SV22: $i,SV14: $i,SV71: $i] :
      ( ( ( end_point @ SV71 @ SV14 )
        = $false )
      | ( ( ~ ( end_point @ SV71 @ SV22 ) )
        = $true )
      | ( ( ~ ( end_point @ SV71 @ SV25 ) )
        = $true )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[404]) ).

thf(426,plain,
    ! [SV43: $i,SV48: $i,SV20: $i,SV9: $i,SV64: $i] :
      ( ( ( part_of @ SV64 @ SV9 )
        = $false )
      | ( ( end_point @ SV20 @ SV64 )
        = $false )
      | ( ( ~ ( end_point @ SV48 @ SV64 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV43 @ SV64 ) )
        = $true )
      | ( ( SV20 = SV48 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[405]) ).

thf(427,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
                    | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
              | ~ ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) ) )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[406]) ).

thf(428,plain,
    ! [SV9: $i,SV20: $i,SV66: $i,SV62: $i] :
      ( ( ( inner_point @ SV62 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[407]) ).

thf(429,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[408]) ).

thf(430,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[409]) ).

thf(431,plain,
    ! [SV11: $i,SV45: $i,SV39: $i,SV72: $i] :
      ( ( ( incident_c @ SV72 @ SV39 )
        = $true )
      | ( ( incident_c @ SV72 @ SV45 )
        = $true )
      | ( ( incident_c @ SV72 @ SV11 )
        = $false )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(432,plain,
    ! [SV45: $i,SV11: $i,SV39: $i,SV76: $i] :
      ( ( ( ~ ( incident_c @ SV76 @ SV39 )
          | ( incident_c @ SV76 @ SV11 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[411]) ).

thf(433,plain,
    ! [SV39: $i,SV11: $i,SV45: $i,SV77: $i] :
      ( ( ( ~ ( incident_c @ SV77 @ SV45 )
          | ( incident_c @ SV77 @ SV11 ) )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[412]) ).

thf(434,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
                | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[413]) ).

thf(435,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( ~ ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[413]) ).

thf(436,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( incident_c @ SV32 @ SV40 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ ( sK16_SY69 @ SV40 @ SV32 ) )
        = $false )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[415]) ).

thf(437,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( incident_c @ SV32 @ SV40 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ ( sK15_C1 @ SV40 @ SV32 ) )
        = $false )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(438,plain,
    ! [SV50: $i,SV73: $i,SV56: $i,SV68: $i] :
      ( ( ( ~ ( part_of @ SV68 @ SV56 )
          | ~ ( part_of @ SV73 @ SV56 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV50 @ SV68 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV50 @ SV73 ) )
        = $true )
      | ( ( ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(439,plain,
    ! [SV47: $i,SV42: $i,SV12: $i] :
      ( ( ( ~ ( incident_c @ SV12 @ SV42 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(440,plain,
    ! [SV47: $i,SV42: $i,SV12: $i] :
      ( ( ( ~ ( incident_c @ SV12 @ SV42 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(441,plain,
    ! [SV47: $i,SV42: $i,SV12: $i] :
      ( ( ( ~ ( incident_c @ SV12 @ SV42 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 )
        = $false )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[420]) ).

thf(442,plain,
    ! [SV12: $i,SV63: $i,SV60: $i,SV78: $i] :
      ( ( ( ~ ( incident_c @ SV78 @ SV60 )
          | ~ ( incident_c @ SV78 @ SV63 )
          | ( end_point @ SV78 @ SV60 ) )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(443,plain,
    ! [SV12: $i,SV63: $i,SV60: $i,SV79: $i] :
      ( ( ( ~ ( incident_c @ SV79 @ SV60 )
          | ~ ( incident_c @ SV79 @ SV63 )
          | ( end_point @ SV79 @ SV63 ) )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[422]) ).

thf(444,plain,
    ! [SV2: $i,SV25: $i,SV14: $i,SV22: $i,SV71: $i] :
      ( ( ( end_point @ SV71 @ SV22 )
        = $false )
      | ( ( end_point @ SV71 @ SV14 )
        = $false )
      | ( ( ~ ( end_point @ SV71 @ SV25 ) )
        = $true )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(445,plain,
    ! [SV43: $i,SV9: $i,SV20: $i,SV64: $i,SV48: $i] :
      ( ( ( end_point @ SV48 @ SV64 )
        = $false )
      | ( ( end_point @ SV20 @ SV64 )
        = $false )
      | ( ( part_of @ SV64 @ SV9 )
        = $false )
      | ( ( ~ ( inner_point @ SV43 @ SV64 ) )
        = $true )
      | ( ( SV20 = SV48 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[426]) ).

thf(446,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
          | ~ ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(447,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV38 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
        = $false )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(448,plain,
    ! [SV11: $i,SV38: $i,SV44: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV44 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV44 @ SV38 @ SV11 ) @ SV11 )
        = $false )
      | ( ( SV11
          = ( sum @ SV38 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[430]) ).

thf(449,plain,
    ! [SV45: $i,SV11: $i,SV39: $i,SV76: $i] :
      ( ( ( ~ ( incident_c @ SV76 @ SV39 ) )
        = $true )
      | ( ( incident_c @ SV76 @ SV11 )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[432]) ).

thf(450,plain,
    ! [SV39: $i,SV11: $i,SV45: $i,SV77: $i] :
      ( ( ( ~ ( incident_c @ SV77 @ SV45 ) )
        = $true )
      | ( ( incident_c @ SV77 @ SV11 )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[433]) ).

thf(451,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
              | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[434]) ).

thf(452,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[435]) ).

thf(453,plain,
    ! [SV50: $i,SV73: $i,SV56: $i,SV68: $i] :
      ( ( ( ~ ( part_of @ SV68 @ SV56 ) )
        = $true )
      | ( ( ~ ( part_of @ SV73 @ SV56 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV50 @ SV68 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV50 @ SV73 ) )
        = $true )
      | ( ( ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[438]) ).

thf(454,plain,
    ! [SV47: $i,SV42: $i,SV12: $i] :
      ( ( ( incident_c @ SV12 @ SV42 )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(455,plain,
    ! [SV47: $i,SV42: $i,SV12: $i] :
      ( ( ( incident_c @ SV12 @ SV42 )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(456,plain,
    ! [SV47: $i,SV42: $i,SV12: $i] :
      ( ( ( incident_c @ SV12 @ SV42 )
        = $false )
      | ( ( ~ ( incident_c @ SV12 @ SV47 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 )
        = $false )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(457,plain,
    ! [SV12: $i,SV63: $i,SV60: $i,SV78: $i] :
      ( ( ( ~ ( incident_c @ SV78 @ SV60 )
          | ~ ( incident_c @ SV78 @ SV63 ) )
        = $true )
      | ( ( end_point @ SV78 @ SV60 )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[442]) ).

thf(458,plain,
    ! [SV12: $i,SV63: $i,SV60: $i,SV79: $i] :
      ( ( ( ~ ( incident_c @ SV79 @ SV60 )
          | ~ ( incident_c @ SV79 @ SV63 ) )
        = $true )
      | ( ( end_point @ SV79 @ SV63 )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[443]) ).

thf(459,plain,
    ! [SV2: $i,SV22: $i,SV14: $i,SV25: $i,SV71: $i] :
      ( ( ( end_point @ SV71 @ SV25 )
        = $false )
      | ( ( end_point @ SV71 @ SV14 )
        = $false )
      | ( ( end_point @ SV71 @ SV22 )
        = $false )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( ( part_of @ SV25 @ SV14 )
          | ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(460,plain,
    ! [SV48: $i,SV20: $i,SV9: $i,SV64: $i,SV43: $i] :
      ( ( ( inner_point @ SV43 @ SV64 )
        = $false )
      | ( ( part_of @ SV64 @ SV9 )
        = $false )
      | ( ( end_point @ SV20 @ SV64 )
        = $false )
      | ( ( end_point @ SV48 @ SV64 )
        = $false )
      | ( ( SV20 = SV48 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV43 @ SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(461,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[446]) ).

thf(462,plain,
    ! [SV9: $i,SV20: $i,SV62: $i,SV66: $i] :
      ( ( ( ~ ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[446]) ).

thf(463,plain,
    ! [SV45: $i,SV11: $i,SV39: $i,SV76: $i] :
      ( ( ( incident_c @ SV76 @ SV39 )
        = $false )
      | ( ( incident_c @ SV76 @ SV11 )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[449]) ).

thf(464,plain,
    ! [SV39: $i,SV11: $i,SV45: $i,SV77: $i] :
      ( ( ( incident_c @ SV77 @ SV45 )
        = $false )
      | ( ( incident_c @ SV77 @ SV11 )
        = $true )
      | ( ( SV11
          = ( sum @ SV39 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(465,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
          | ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(466,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( incident_c @ SV32 @ SV40 )
        = $false )
      | ( ( incident_c @ SV32 @ ( sK15_C1 @ SV40 @ SV32 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[452]) ).

thf(467,plain,
    ! [SV50: $i,SV73: $i,SV56: $i,SV68: $i] :
      ( ( ( part_of @ SV68 @ SV56 )
        = $false )
      | ( ( ~ ( part_of @ SV73 @ SV56 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV50 @ SV68 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV50 @ SV73 ) )
        = $true )
      | ( ( ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[453]) ).

thf(468,plain,
    ! [SV42: $i,SV47: $i,SV12: $i] :
      ( ( ( incident_c @ SV12 @ SV47 )
        = $false )
      | ( ( incident_c @ SV12 @ SV42 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(469,plain,
    ! [SV42: $i,SV47: $i,SV12: $i] :
      ( ( ( incident_c @ SV12 @ SV47 )
        = $false )
      | ( ( incident_c @ SV12 @ SV42 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 )
        = $true )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(470,plain,
    ! [SV42: $i,SV47: $i,SV12: $i] :
      ( ( ( incident_c @ SV12 @ SV47 )
        = $false )
      | ( ( incident_c @ SV12 @ SV42 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV42 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV47 @ SV42 @ SV12 ) @ SV47 )
        = $false )
      | ( ( meet @ SV12 @ SV42 @ SV47 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(471,plain,
    ! [SV12: $i,SV63: $i,SV60: $i,SV78: $i] :
      ( ( ( ~ ( incident_c @ SV78 @ SV60 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV78 @ SV63 ) )
        = $true )
      | ( ( end_point @ SV78 @ SV60 )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[457]) ).

thf(472,plain,
    ! [SV12: $i,SV63: $i,SV60: $i,SV79: $i] :
      ( ( ( ~ ( incident_c @ SV79 @ SV60 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV79 @ SV63 ) )
        = $true )
      | ( ( end_point @ SV79 @ SV63 )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[458]) ).

thf(473,plain,
    ! [SV71: $i,SV2: $i,SV22: $i,SV14: $i,SV25: $i] :
      ( ( ( part_of @ SV25 @ SV14 )
        = $true )
      | ( ( ( part_of @ SV14 @ SV25 )
          | ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( end_point @ SV71 @ SV22 )
        = $false )
      | ( ( end_point @ SV71 @ SV14 )
        = $false )
      | ( ( end_point @ SV71 @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[459]) ).

thf(474,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( ~ ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
              | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) ) )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(475,plain,
    ! [SV9: $i,SV20: $i,SV62: $i,SV66: $i] :
      ( ( ( end_point @ SV66 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[462]) ).

thf(476,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[465]) ).

thf(477,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[465]) ).

thf(478,plain,
    ! [SV50: $i,SV68: $i,SV56: $i,SV73: $i] :
      ( ( ( part_of @ SV73 @ SV56 )
        = $false )
      | ( ( part_of @ SV68 @ SV56 )
        = $false )
      | ( ( ~ ( incident_c @ SV50 @ SV68 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV50 @ SV73 ) )
        = $true )
      | ( ( ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(479,plain,
    ! [SV12: $i,SV63: $i,SV60: $i,SV78: $i] :
      ( ( ( incident_c @ SV78 @ SV60 )
        = $false )
      | ( ( ~ ( incident_c @ SV78 @ SV63 ) )
        = $true )
      | ( ( end_point @ SV78 @ SV60 )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[471]) ).

thf(480,plain,
    ! [SV12: $i,SV63: $i,SV60: $i,SV79: $i] :
      ( ( ( incident_c @ SV79 @ SV60 )
        = $false )
      | ( ( ~ ( incident_c @ SV79 @ SV63 ) )
        = $true )
      | ( ( end_point @ SV79 @ SV63 )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[472]) ).

thf(481,plain,
    ! [SV71: $i,SV2: $i,SV22: $i,SV25: $i,SV14: $i] :
      ( ( ( part_of @ SV14 @ SV25 )
        = $true )
      | ( ( ( part_of @ SV22 @ SV14 )
          | ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true )
      | ( ( part_of @ SV25 @ SV14 )
        = $true )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( end_point @ SV71 @ SV22 )
        = $false )
      | ( ( end_point @ SV71 @ SV14 )
        = $false )
      | ( ( end_point @ SV71 @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[473]) ).

thf(482,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
          | ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[474]) ).

thf(483,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[476]) ).

thf(484,plain,
    ! [SV32: $i,SV40: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 )
        = $true )
      | ( ( ~ ( incident_c @ SV32 @ SV40 ) )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[477]) ).

thf(485,plain,
    ! [SV73: $i,SV56: $i,SV68: $i,SV50: $i] :
      ( ( ( incident_c @ SV50 @ SV68 )
        = $false )
      | ( ( part_of @ SV68 @ SV56 )
        = $false )
      | ( ( part_of @ SV73 @ SV56 )
        = $false )
      | ( ( ~ ( incident_c @ SV50 @ SV73 ) )
        = $true )
      | ( ( ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(486,plain,
    ! [SV12: $i,SV60: $i,SV63: $i,SV78: $i] :
      ( ( ( incident_c @ SV78 @ SV63 )
        = $false )
      | ( ( incident_c @ SV78 @ SV60 )
        = $false )
      | ( ( end_point @ SV78 @ SV60 )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[479]) ).

thf(487,plain,
    ! [SV12: $i,SV60: $i,SV63: $i,SV79: $i] :
      ( ( ( incident_c @ SV79 @ SV63 )
        = $false )
      | ( ( incident_c @ SV79 @ SV60 )
        = $false )
      | ( ( end_point @ SV79 @ SV63 )
        = $true )
      | ( ( meet @ SV12 @ SV60 @ SV63 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(488,plain,
    ! [SV71: $i,SV2: $i,SV25: $i,SV14: $i,SV22: $i] :
      ( ( ( part_of @ SV22 @ SV14 )
        = $true )
      | ( ( ( part_of @ SV14 @ SV22 )
          | ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true )
      | ( ( part_of @ SV14 @ SV25 )
        = $true )
      | ( ( part_of @ SV25 @ SV14 )
        = $true )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( end_point @ SV71 @ SV22 )
        = $false )
      | ( ( end_point @ SV71 @ SV14 )
        = $false )
      | ( ( end_point @ SV71 @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[481]) ).

thf(489,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( ~ ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[482]) ).

thf(490,plain,
    ! [SV9: $i,SV20: $i,SV62: $i,SV66: $i] :
      ( ( ( ~ ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 ) )
        = $false )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[482]) ).

thf(491,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( incident_c @ SV32 @ SV40 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV40 @ SV32 ) @ SV40 )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[483]) ).

thf(492,plain,
    ! [SV40: $i,SV32: $i] :
      ( ( ( incident_c @ SV32 @ SV40 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV40 @ SV32 ) @ SV40 )
        = $true )
      | ( ( end_point @ SV32 @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(493,plain,
    ! [SV68: $i,SV56: $i,SV73: $i,SV50: $i] :
      ( ( ( incident_c @ SV50 @ SV73 )
        = $false )
      | ( ( part_of @ SV73 @ SV56 )
        = $false )
      | ( ( part_of @ SV68 @ SV56 )
        = $false )
      | ( ( incident_c @ SV50 @ SV68 )
        = $false )
      | ( ( ( part_of @ SV68 @ SV73 )
          | ( part_of @ SV73 @ SV68 ) )
        = $true )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(494,plain,
    ! [SV71: $i,SV2: $i,SV25: $i,SV22: $i,SV14: $i] :
      ( ( ( part_of @ SV14 @ SV22 )
        = $true )
      | ( ( ( part_of @ SV22 @ SV25 )
          | ( part_of @ SV25 @ SV22 ) )
        = $true )
      | ( ( part_of @ SV22 @ SV14 )
        = $true )
      | ( ( part_of @ SV14 @ SV25 )
        = $true )
      | ( ( part_of @ SV25 @ SV14 )
        = $true )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( end_point @ SV71 @ SV22 )
        = $false )
      | ( ( end_point @ SV71 @ SV14 )
        = $false )
      | ( ( end_point @ SV71 @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[488]) ).

thf(495,plain,
    ! [SV9: $i,SV62: $i,SV66: $i,SV20: $i] :
      ( ( ( end_point @ SV20 @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[489]) ).

thf(496,plain,
    ! [SV9: $i,SV20: $i,SV62: $i,SV66: $i] :
      ( ( ( part_of @ ( sK5_Cpp @ SV66 @ SV62 @ SV20 @ SV9 ) @ SV9 )
        = $true )
      | ( ( between_c @ SV9 @ SV20 @ SV62 @ SV66 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[490]) ).

thf(497,plain,
    ! [SV56: $i,SV50: $i,SV73: $i,SV68: $i] :
      ( ( ( part_of @ SV68 @ SV73 )
        = $true )
      | ( ( part_of @ SV73 @ SV68 )
        = $true )
      | ( ( incident_c @ SV50 @ SV68 )
        = $false )
      | ( ( part_of @ SV68 @ SV56 )
        = $false )
      | ( ( part_of @ SV73 @ SV56 )
        = $false )
      | ( ( incident_c @ SV50 @ SV73 )
        = $false )
      | ( ( end_point @ SV50 @ SV56 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[493]) ).

thf(498,plain,
    ! [SV71: $i,SV2: $i,SV14: $i,SV25: $i,SV22: $i] :
      ( ( ( part_of @ SV22 @ SV25 )
        = $true )
      | ( ( part_of @ SV25 @ SV22 )
        = $true )
      | ( ( part_of @ SV14 @ SV22 )
        = $true )
      | ( ( part_of @ SV22 @ SV14 )
        = $true )
      | ( ( part_of @ SV14 @ SV25 )
        = $true )
      | ( ( part_of @ SV25 @ SV14 )
        = $true )
      | ( ( part_of @ SV25 @ SV2 )
        = $false )
      | ( ( part_of @ SV14 @ SV2 )
        = $false )
      | ( ( part_of @ SV22 @ SV2 )
        = $false )
      | ( ( end_point @ SV71 @ SV22 )
        = $false )
      | ( ( end_point @ SV71 @ SV14 )
        = $false )
      | ( ( end_point @ SV71 @ SV25 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[494]) ).

thf(499,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[93,498,497,496,495,492,491,487,486,475,470,469,468,466,464,463,460,448,447,437,436,431,428,424,423,414,385,383,369,362,355,335,334,326,325,303,302,290,286,276,269,257,252,250,249,242,208,196,192,112,108]) ).

thf(500,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK18_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK18_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)],[75]) ).

thf(501,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK17_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)],[74]) ).

thf(502,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK15_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK16_SY69 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK15_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK15_C1 @ C @ P ) @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK16_SY69 @ C @ P ) @ ( sK15_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)],[73]) ).

thf(503,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)],[72]) ).

thf(504,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK14_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK14_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)],[71]) ).

thf(505,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK13_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(506,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK12_P @ C ) @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(507,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(508,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)],[67]) ).

thf(509,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK11_P @ C ) @ C ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(510,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) )
            & ( meet @ P @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(511,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)],[64]) ).

thf(512,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK8_Q @ P @ C ) )
            & ( end_point @ ( sK8_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(513,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)],[62]) ).

thf(514,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK7_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(515,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(516,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 @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK5_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK5_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(517,plain,
    ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ sK4_SY67 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(518,plain,
    ( ( ~ ( incident_c @ sK3_SY65 @ sK1_C ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(519,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX1 @ SX0 )
          | ~ ( ( SX0
               != ( sum @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) )
              | ~ ( meet @ SX1 @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[510]) ).

thf(520,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                          | ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ( incident_c @ ( sK17_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)],[501]) ).

thf(521,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[515]) ).

thf(522,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 )
                | ( open @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( open @ SX0 )
                | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[506]) ).

thf(523,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                            | ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ~ ( end_point @ ( sK14_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)],[504]) ).

thf(524,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( closed @ SX0 )
                | ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
                | ( closed @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[505]) ).

thf(525,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 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
                                  | ~ ( end_point @ SX3 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ( inner_point @ SX2 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[516]) ).

thf(526,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                    | ~ ~ ( incident_c @ ( sK18_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)],[500]) ).

thf(527,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)],[503]) ).

thf(528,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                                | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                          | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                          | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[502]) ).

thf(529,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX1 @ SX0 )
          | ~ ( ~ ( ( SX1
                   != ( sK8_Q @ SX1 @ SX0 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[512]) ).

thf(530,plain,
    ! [SV80: $i] :
      ( ( ! [SY172: $i] :
            ( ( SY172 = SV80 )
            | ~ ( part_of @ SY172 @ SV80 )
            | ( open @ SY172 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(531,plain,
    ! [SV81: $i] :
      ( ( ! [SY173: $i,SY174: $i,SY175: $i] :
            ( ~ ( part_of @ SY173 @ SV81 )
            | ~ ( part_of @ SY174 @ SV81 )
            | ~ ( part_of @ SY175 @ SV81 )
            | ! [P: $i] :
                ( ~ ( end_point @ P @ SY173 )
                | ~ ( end_point @ P @ SY174 )
                | ~ ( end_point @ P @ SY175 ) )
            | ( part_of @ SY175 @ SY173 )
            | ( part_of @ SY173 @ SY175 )
            | ( part_of @ SY174 @ SY173 )
            | ( part_of @ SY173 @ SY174 )
            | ( part_of @ SY174 @ SY175 )
            | ( part_of @ SY175 @ SY174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[508]) ).

thf(532,plain,
    ! [SV82: $i] :
      ( ( inner_point @ ( sK11_P @ SV82 ) @ SV82 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[509]) ).

thf(533,plain,
    ! [SV83: $i] :
      ( ( ! [SY177: $i,SY178: $i,SY179: $i] :
            ( ~ ( end_point @ SY177 @ SV83 )
            | ~ ( end_point @ SY178 @ SV83 )
            | ~ ( end_point @ SY179 @ SV83 )
            | ( SY178 = SY179 )
            | ( SY177 = SY178 )
            | ( SY177 = SY179 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[511]) ).

thf(534,plain,
    ! [SV84: $i] :
      ( ( ! [SY180: $i,SY181: $i] :
            ( ~ ( closed @ SV84 )
            | ! [P: $i] :
                ~ ( meet @ P @ SY180 @ SY181 )
            | ( SV84
             != ( sum @ SY180 @ SY181 ) )
            | ! [Q: $i] :
                ( ~ ( end_point @ Q @ SY180 )
                | ( meet @ Q @ SY180 @ SY181 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(535,plain,
    ! [SV85: $i] :
      ( ( ! [SY184: $i] :
            ( ! [SY185: $i] :
                ~ ( meet @ SY185 @ SV85 @ SY184 )
            | ( ( sK7_C @ SY184 @ SV85 )
              = ( sum @ SV85 @ SY184 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[514]) ).

thf(536,plain,
    ( ( incident_c @ sK3_SY65 @ sK1_C )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[518]) ).

thf(537,plain,
    ! [SV86: $i] :
      ( ( ! [SY186: $i] :
            ( ~ ( inner_point @ SY186 @ SV86 )
            | ~ ( ( SV86
                 != ( sum @ ( sK9_C1 @ SY186 @ SV86 ) @ ( sK10_SY68 @ SY186 @ SV86 ) ) )
                | ~ ( meet @ SY186 @ ( sK9_C1 @ SY186 @ SV86 ) @ ( sK10_SY68 @ SY186 @ SV86 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[519]) ).

thf(538,plain,
    ! [SV87: $i] :
      ( ( ~ ( ~ ! [SY187: $i,SY188: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                                | ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY187 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                                | ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY188 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                          | ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY187 )
                          | ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY188 ) ) )
                  | ( SV87
                    = ( sum @ SY187 @ SY188 ) ) )
            | ~ ! [SY189: $i,SY190: $i] :
                  ( ( SV87
                   != ( sum @ SY189 @ SY190 ) )
                  | ~ ( ~ ! [SY191: $i] :
                            ( ~ ( incident_c @ SY191 @ SV87 )
                            | ( incident_c @ SY191 @ SY189 )
                            | ( incident_c @ SY191 @ SY190 ) )
                      | ~ ~ ( ~ ! [SY192: $i] :
                                  ( ~ ( incident_c @ SY192 @ SY189 )
                                  | ( incident_c @ SY192 @ SV87 ) )
                            | ~ ! [SY193: $i] :
                                  ( ~ ( incident_c @ SY193 @ SY190 )
                                  | ( incident_c @ SY193 @ SV87 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[520]) ).

thf(539,plain,
    ! [SV88: $i] :
      ( ( ! [SY194: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SY194 @ SV88 ) @ SV88 )
                    | ~ ( incident_c @ ( sK6_P @ SY194 @ SV88 ) @ SY194 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SY194 @ SV88 ) @ SV88 )
                    | ( incident_c @ ( sK6_P @ SY194 @ SV88 ) @ SY194 ) ) )
            | ( SV88 = SY194 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[521]) ).

thf(540,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[522]) ).

thf(541,plain,
    ! [SV89: $i] :
      ( ( ~ ( ~ ! [SY195: $i,SY196: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY195 )
                            | ~ ( incident_c @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY196 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY195 )
                          | ~ ( end_point @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY196 ) ) )
                  | ~ ( incident_c @ SV89 @ SY195 )
                  | ~ ( incident_c @ SV89 @ SY196 )
                  | ( meet @ SV89 @ SY195 @ SY196 ) )
            | ~ ~ ( ~ ! [SY197: $i,SY198: $i] :
                        ( ~ ( meet @ SV89 @ 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 @ SV89 @ SY201 @ SY202 )
                              | ( incident_c @ SV89 @ SY201 ) )
                        | ~ ! [SY203: $i,SY204: $i] :
                              ( ~ ( meet @ SV89 @ SY203 @ SY204 )
                              | ( incident_c @ SV89 @ SY204 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[523]) ).

thf(542,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[524]) ).

thf(543,plain,
    ! [SV90: $i] :
      ( ( ! [SY205: $i] :
            ~ ( ~ ! [SY206: $i,SY207: $i] :
                    ( ( SY205 = SY207 )
                    | ! [SY208: $i] :
                        ( ~ ( end_point @ SY205 @ SY208 )
                        | ~ ( part_of @ SY208 @ SV90 )
                        | ~ ( end_point @ SY207 @ SY208 )
                        | ~ ( inner_point @ SY206 @ SY208 ) )
                    | ( between_c @ SV90 @ SY205 @ SY206 @ SY207 ) )
              | ~ ~ ( ~ ! [SY209: $i,SY210: $i] :
                          ( ~ ( between_c @ SV90 @ SY205 @ SY209 @ SY210 )
                          | ( SY205 != SY210 ) )
                    | ~ ! [SY211: $i,SY212: $i] :
                          ( ~ ( between_c @ SV90 @ SY205 @ SY211 @ SY212 )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY205 @ ( sK5_Cpp @ SY212 @ SY211 @ SY205 @ SV90 ) )
                                          | ~ ( part_of @ ( sK5_Cpp @ SY212 @ SY211 @ SY205 @ SV90 ) @ SV90 ) )
                                    | ~ ( end_point @ SY212 @ ( sK5_Cpp @ SY212 @ SY211 @ SY205 @ SV90 ) ) )
                              | ~ ( inner_point @ SY211 @ ( sK5_Cpp @ SY212 @ SY211 @ SY205 @ SV90 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[525]) ).

thf(544,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_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)],[526]) ).

thf(545,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)],[527]) ).

thf(546,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[528]) ).

thf(547,plain,
    ! [SV91: $i] :
      ( ( ! [SY213: $i] :
            ( ~ ( end_point @ SY213 @ SV91 )
            | ~ ( ~ ( ( SY213
                     != ( sK8_Q @ SY213 @ SV91 ) ) )
                | ~ ( end_point @ ( sK8_Q @ SY213 @ SV91 ) @ SV91 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[529]) ).

thf(548,plain,
    ! [SV80: $i,SV92: $i] :
      ( ( ( SV92 = SV80 )
        | ~ ( part_of @ SV92 @ SV80 )
        | ( open @ SV92 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[530]) ).

thf(549,plain,
    ! [SV81: $i,SV93: $i] :
      ( ( ! [SY214: $i,SY215: $i] :
            ( ~ ( part_of @ SV93 @ SV81 )
            | ~ ( part_of @ SY214 @ SV81 )
            | ~ ( part_of @ SY215 @ SV81 )
            | ! [SY216: $i] :
                ( ~ ( end_point @ SY216 @ SV93 )
                | ~ ( end_point @ SY216 @ SY214 )
                | ~ ( end_point @ SY216 @ SY215 ) )
            | ( part_of @ SY215 @ SV93 )
            | ( part_of @ SV93 @ SY215 )
            | ( part_of @ SY214 @ SV93 )
            | ( part_of @ SV93 @ SY214 )
            | ( part_of @ SY214 @ SY215 )
            | ( part_of @ SY215 @ SY214 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[531]) ).

thf(550,plain,
    ! [SV83: $i,SV94: $i] :
      ( ( ! [SY217: $i,SY218: $i] :
            ( ~ ( end_point @ SV94 @ SV83 )
            | ~ ( end_point @ SY217 @ SV83 )
            | ~ ( end_point @ SY218 @ SV83 )
            | ( SY217 = SY218 )
            | ( SV94 = SY217 )
            | ( SV94 = SY218 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[533]) ).

thf(551,plain,
    ! [SV95: $i,SV84: $i] :
      ( ( ! [SY219: $i] :
            ( ~ ( closed @ SV84 )
            | ! [SY220: $i] :
                ~ ( meet @ SY220 @ SV95 @ SY219 )
            | ( SV84
             != ( sum @ SV95 @ SY219 ) )
            | ! [SY221: $i] :
                ( ~ ( end_point @ SY221 @ SV95 )
                | ( meet @ SY221 @ SV95 @ SY219 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[534]) ).

thf(552,plain,
    ! [SV96: $i,SV85: $i] :
      ( ( ! [SY222: $i] :
            ~ ( meet @ SY222 @ SV85 @ SV96 )
        | ( ( sK7_C @ SV96 @ SV85 )
          = ( sum @ SV85 @ SV96 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[535]) ).

thf(553,plain,
    ! [SV86: $i,SV97: $i] :
      ( ( ~ ( inner_point @ SV97 @ SV86 )
        | ~ ( ( SV86
             != ( sum @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) )
            | ~ ( meet @ SV97 @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[537]) ).

thf(554,plain,
    ! [SV87: $i] :
      ( ( ~ ! [SY187: $i,SY188: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                            | ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY187 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                            | ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY188 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                      | ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY187 )
                      | ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY188 ) ) )
              | ( SV87
                = ( sum @ SY187 @ SY188 ) ) )
        | ~ ! [SY189: $i,SY190: $i] :
              ( ( SV87
               != ( sum @ SY189 @ SY190 ) )
              | ~ ( ~ ! [SY191: $i] :
                        ( ~ ( incident_c @ SY191 @ SV87 )
                        | ( incident_c @ SY191 @ SY189 )
                        | ( incident_c @ SY191 @ SY190 ) )
                  | ~ ~ ( ~ ! [SY192: $i] :
                              ( ~ ( incident_c @ SY192 @ SY189 )
                              | ( incident_c @ SY192 @ SV87 ) )
                        | ~ ! [SY193: $i] :
                              ( ~ ( incident_c @ SY193 @ SY190 )
                              | ( incident_c @ SY193 @ SV87 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(555,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
                | ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) )
            | ~ ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
                | ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) ) )
        | ( SV88 = SV98 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(556,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[540]) ).

thf(557,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[540]) ).

thf(558,plain,
    ! [SV89: $i] :
      ( ( ~ ! [SY195: $i,SY196: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY195 )
                        | ~ ( incident_c @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY196 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY195 )
                      | ~ ( end_point @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY196 ) ) )
              | ~ ( incident_c @ SV89 @ SY195 )
              | ~ ( incident_c @ SV89 @ SY196 )
              | ( meet @ SV89 @ SY195 @ SY196 ) )
        | ~ ~ ( ~ ! [SY197: $i,SY198: $i] :
                    ( ~ ( meet @ SV89 @ 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 @ SV89 @ SY201 @ SY202 )
                          | ( incident_c @ SV89 @ SY201 ) )
                    | ~ ! [SY203: $i,SY204: $i] :
                          ( ~ ( meet @ SV89 @ SY203 @ SY204 )
                          | ( incident_c @ SV89 @ SY204 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(559,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[542]) ).

thf(560,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[542]) ).

thf(561,plain,
    ! [SV90: $i,SV99: $i] :
      ( ( ~ ( ~ ! [SY223: $i,SY224: $i] :
                  ( ( SV99 = SY224 )
                  | ! [SY225: $i] :
                      ( ~ ( end_point @ SV99 @ SY225 )
                      | ~ ( part_of @ SY225 @ SV90 )
                      | ~ ( end_point @ SY224 @ SY225 )
                      | ~ ( inner_point @ SY223 @ SY225 ) )
                  | ( between_c @ SV90 @ SV99 @ SY223 @ SY224 ) )
            | ~ ~ ( ~ ! [SY226: $i,SY227: $i] :
                        ( ~ ( between_c @ SV90 @ SV99 @ SY226 @ SY227 )
                        | ( SV99 != SY227 ) )
                  | ~ ! [SY228: $i,SY229: $i] :
                        ( ~ ( between_c @ SV90 @ SV99 @ SY228 @ SY229 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) @ SV90 ) )
                                  | ~ ( end_point @ SY229 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) )
                            | ~ ( inner_point @ SY228 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(562,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[544]) ).

thf(563,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)],[544]) ).

thf(564,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[545]) ).

thf(565,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)],[545]) ).

thf(566,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[546]) ).

thf(567,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)],[546]) ).

thf(568,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ~ ( end_point @ SV100 @ SV91 )
        | ~ ( ~ ( ( SV100
                 != ( sK8_Q @ SV100 @ SV91 ) ) )
            | ~ ( end_point @ ( sK8_Q @ SV100 @ SV91 ) @ SV91 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[547]) ).

thf(569,plain,
    ! [SV80: $i,SV92: $i] :
      ( ( ( ( SV92 = SV80 )
          | ~ ( part_of @ SV92 @ SV80 ) )
        = $true )
      | ( ( open @ SV92 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[548]) ).

thf(570,plain,
    ! [SV101: $i,SV81: $i,SV93: $i] :
      ( ( ! [SY230: $i] :
            ( ~ ( part_of @ SV93 @ SV81 )
            | ~ ( part_of @ SV101 @ SV81 )
            | ~ ( part_of @ SY230 @ SV81 )
            | ! [SY231: $i] :
                ( ~ ( end_point @ SY231 @ SV93 )
                | ~ ( end_point @ SY231 @ SV101 )
                | ~ ( end_point @ SY231 @ SY230 ) )
            | ( part_of @ SY230 @ SV93 )
            | ( part_of @ SV93 @ SY230 )
            | ( part_of @ SV101 @ SV93 )
            | ( part_of @ SV93 @ SV101 )
            | ( part_of @ SV101 @ SY230 )
            | ( part_of @ SY230 @ SV101 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[549]) ).

thf(571,plain,
    ! [SV102: $i,SV83: $i,SV94: $i] :
      ( ( ! [SY232: $i] :
            ( ~ ( end_point @ SV94 @ SV83 )
            | ~ ( end_point @ SV102 @ SV83 )
            | ~ ( end_point @ SY232 @ SV83 )
            | ( SV102 = SY232 )
            | ( SV94 = SV102 )
            | ( SV94 = SY232 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[550]) ).

thf(572,plain,
    ! [SV103: $i,SV95: $i,SV84: $i] :
      ( ( ~ ( closed @ SV84 )
        | ! [SY233: $i] :
            ~ ( meet @ SY233 @ SV95 @ SV103 )
        | ( SV84
         != ( sum @ SV95 @ SV103 ) )
        | ! [SY234: $i] :
            ( ~ ( end_point @ SY234 @ SV95 )
            | ( meet @ SY234 @ SV95 @ SV103 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[551]) ).

thf(573,plain,
    ! [SV96: $i,SV85: $i] :
      ( ( ( ! [SY222: $i] :
              ~ ( meet @ SY222 @ SV85 @ SV96 ) )
        = $true )
      | ( ( ( sK7_C @ SV96 @ SV85 )
          = ( sum @ SV85 @ SV96 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[552]) ).

thf(574,plain,
    ! [SV86: $i,SV97: $i] :
      ( ( ( ~ ( inner_point @ SV97 @ SV86 ) )
        = $true )
      | ( ( ~ ( ( SV86
               != ( sum @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) )
              | ~ ( meet @ SV97 @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[553]) ).

thf(575,plain,
    ! [SV87: $i] :
      ( ( ~ ! [SY187: $i,SY188: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                            | ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY187 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                            | ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY188 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                      | ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY187 )
                      | ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY188 ) ) )
              | ( SV87
                = ( sum @ SY187 @ SY188 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[554]) ).

thf(576,plain,
    ! [SV87: $i] :
      ( ( ~ ! [SY189: $i,SY190: $i] :
              ( ( SV87
               != ( sum @ SY189 @ SY190 ) )
              | ~ ( ~ ! [SY191: $i] :
                        ( ~ ( incident_c @ SY191 @ SV87 )
                        | ( incident_c @ SY191 @ SY189 )
                        | ( incident_c @ SY191 @ SY190 ) )
                  | ~ ~ ( ~ ! [SY192: $i] :
                              ( ~ ( incident_c @ SY192 @ SY189 )
                              | ( incident_c @ SY192 @ SV87 ) )
                        | ~ ! [SY193: $i] :
                              ( ~ ( incident_c @ SY193 @ SY190 )
                              | ( incident_c @ SY193 @ SV87 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[554]) ).

thf(577,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
                  | ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
                  | ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) ) ) )
        = $true )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[555]) ).

thf(578,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 )
          | ( open @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[556]) ).

thf(579,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( open @ SX0 )
          | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[557]) ).

thf(580,plain,
    ! [SV89: $i] :
      ( ( ~ ! [SY195: $i,SY196: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY195 )
                        | ~ ( incident_c @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY196 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY195 )
                      | ~ ( end_point @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY196 ) ) )
              | ~ ( incident_c @ SV89 @ SY195 )
              | ~ ( incident_c @ SV89 @ SY196 )
              | ( meet @ SV89 @ SY195 @ SY196 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[558]) ).

thf(581,plain,
    ! [SV89: $i] :
      ( ( ~ ~ ( ~ ! [SY197: $i,SY198: $i] :
                    ( ~ ( meet @ SV89 @ 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 @ SV89 @ SY201 @ SY202 )
                          | ( incident_c @ SV89 @ SY201 ) )
                    | ~ ! [SY203: $i,SY204: $i] :
                          ( ~ ( meet @ SV89 @ SY203 @ SY204 )
                          | ( incident_c @ SV89 @ SY204 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[558]) ).

thf(582,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( closed @ SX0 )
          | ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[559]) ).

thf(583,plain,
    ( ( ! [SX0: $i] :
          ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
          | ( closed @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[560]) ).

thf(584,plain,
    ! [SV90: $i,SV99: $i] :
      ( ( ~ ! [SY223: $i,SY224: $i] :
              ( ( SV99 = SY224 )
              | ! [SY225: $i] :
                  ( ~ ( end_point @ SV99 @ SY225 )
                  | ~ ( part_of @ SY225 @ SV90 )
                  | ~ ( end_point @ SY224 @ SY225 )
                  | ~ ( inner_point @ SY223 @ SY225 ) )
              | ( between_c @ SV90 @ SV99 @ SY223 @ SY224 ) )
        | ~ ~ ( ~ ! [SY226: $i,SY227: $i] :
                    ( ~ ( between_c @ SV90 @ SV99 @ SY226 @ SY227 )
                    | ( SV99 != SY227 ) )
              | ~ ! [SY228: $i,SY229: $i] :
                    ( ~ ( between_c @ SV90 @ SV99 @ SY228 @ SY229 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) @ SV90 ) )
                              | ~ ( end_point @ SY229 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) )
                        | ~ ( inner_point @ SY228 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(585,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
          | ( part_of @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[562]) ).

thf(586,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)],[563]) ).

thf(587,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 )
          | ( inner_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[564]) ).

thf(588,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)],[565]) ).

thf(589,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                          | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                    | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
          | ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(590,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)],[567]) ).

thf(591,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ( ~ ( end_point @ SV100 @ SV91 ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV100
                   != ( sK8_Q @ SV100 @ SV91 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV100 @ SV91 ) @ SV91 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[568]) ).

thf(592,plain,
    ! [SV80: $i,SV92: $i] :
      ( ( ( SV92 = SV80 )
        = $true )
      | ( ( ~ ( part_of @ SV92 @ SV80 ) )
        = $true )
      | ( ( open @ SV92 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[569]) ).

thf(593,plain,
    ! [SV104: $i,SV101: $i,SV81: $i,SV93: $i] :
      ( ( ~ ( part_of @ SV93 @ SV81 )
        | ~ ( part_of @ SV101 @ SV81 )
        | ~ ( part_of @ SV104 @ SV81 )
        | ! [SY235: $i] :
            ( ~ ( end_point @ SY235 @ SV93 )
            | ~ ( end_point @ SY235 @ SV101 )
            | ~ ( end_point @ SY235 @ SV104 ) )
        | ( part_of @ SV104 @ SV93 )
        | ( part_of @ SV93 @ SV104 )
        | ( part_of @ SV101 @ SV93 )
        | ( part_of @ SV93 @ SV101 )
        | ( part_of @ SV101 @ SV104 )
        | ( part_of @ SV104 @ SV101 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[570]) ).

thf(594,plain,
    ! [SV105: $i,SV102: $i,SV83: $i,SV94: $i] :
      ( ( ~ ( end_point @ SV94 @ SV83 )
        | ~ ( end_point @ SV102 @ SV83 )
        | ~ ( end_point @ SV105 @ SV83 )
        | ( SV102 = SV105 )
        | ( SV94 = SV102 )
        | ( SV94 = SV105 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[571]) ).

thf(595,plain,
    ! [SV103: $i,SV95: $i,SV84: $i] :
      ( ( ( ~ ( closed @ SV84 )
          | ! [SY233: $i] :
              ~ ( meet @ SY233 @ SV95 @ SV103 )
          | ( SV84
           != ( sum @ SV95 @ SV103 ) ) )
        = $true )
      | ( ( ! [SY234: $i] :
              ( ~ ( end_point @ SY234 @ SV95 )
              | ( meet @ SY234 @ SV95 @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[572]) ).

thf(596,plain,
    ! [SV96: $i,SV85: $i,SV106: $i] :
      ( ( ( ~ ( meet @ SV106 @ SV85 @ SV96 ) )
        = $true )
      | ( ( ( sK7_C @ SV96 @ SV85 )
          = ( sum @ SV85 @ SV96 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[573]) ).

thf(597,plain,
    ! [SV86: $i,SV97: $i] :
      ( ( ( inner_point @ SV97 @ SV86 )
        = $false )
      | ( ( ~ ( ( SV86
               != ( sum @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) )
              | ~ ( meet @ SV97 @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(598,plain,
    ! [SV87: $i] :
      ( ( ! [SY187: $i,SY188: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                          | ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY187 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                          | ~ ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY188 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SV87 )
                    | ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY187 )
                    | ( incident_c @ ( sK17_Q @ SY188 @ SY187 @ SV87 ) @ SY188 ) ) )
            | ( SV87
              = ( sum @ SY187 @ SY188 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[575]) ).

thf(599,plain,
    ! [SV87: $i] :
      ( ( ! [SY189: $i,SY190: $i] :
            ( ( SV87
             != ( sum @ SY189 @ SY190 ) )
            | ~ ( ~ ! [SY191: $i] :
                      ( ~ ( incident_c @ SY191 @ SV87 )
                      | ( incident_c @ SY191 @ SY189 )
                      | ( incident_c @ SY191 @ SY190 ) )
                | ~ ~ ( ~ ! [SY192: $i] :
                            ( ~ ( incident_c @ SY192 @ SY189 )
                            | ( incident_c @ SY192 @ SV87 ) )
                      | ~ ! [SY193: $i] :
                            ( ~ ( incident_c @ SY193 @ SY190 )
                            | ( incident_c @ SY193 @ SV87 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[576]) ).

thf(600,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
              | ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) )
          | ~ ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
              | ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) ) )
        = $false )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(601,plain,
    ! [SV107: $i] :
      ( ( ! [SY236: $i] :
            ~ ( end_point @ SY236 @ SV107 )
        | ( open @ SV107 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[578]) ).

thf(602,plain,
    ! [SV108: $i] :
      ( ( ~ ( open @ SV108 )
        | ( end_point @ ( sK12_P @ SV108 ) @ SV108 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[579]) ).

thf(603,plain,
    ! [SV89: $i] :
      ( ( ! [SY195: $i,SY196: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY195 )
                      | ~ ( incident_c @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY196 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY195 )
                    | ~ ( end_point @ ( sK14_Q @ SY196 @ SY195 @ SV89 ) @ SY196 ) ) )
            | ~ ( incident_c @ SV89 @ SY195 )
            | ~ ( incident_c @ SV89 @ SY196 )
            | ( meet @ SV89 @ SY195 @ SY196 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[580]) ).

thf(604,plain,
    ! [SV89: $i] :
      ( ( ~ ( ~ ! [SY197: $i,SY198: $i] :
                  ( ~ ( meet @ SV89 @ 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 @ SV89 @ SY201 @ SY202 )
                        | ( incident_c @ SV89 @ SY201 ) )
                  | ~ ! [SY203: $i,SY204: $i] :
                        ( ~ ( meet @ SV89 @ SY203 @ SY204 )
                        | ( incident_c @ SV89 @ SY204 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[581]) ).

thf(605,plain,
    ! [SV109: $i] :
      ( ( ~ ( closed @ SV109 )
        | ! [SY237: $i] :
            ~ ( end_point @ SY237 @ SV109 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[582]) ).

thf(606,plain,
    ! [SV110: $i] :
      ( ( ( end_point @ ( sK13_P @ SV110 ) @ SV110 )
        | ( closed @ SV110 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[583]) ).

thf(607,plain,
    ! [SV90: $i,SV99: $i] :
      ( ( ~ ! [SY223: $i,SY224: $i] :
              ( ( SV99 = SY224 )
              | ! [SY225: $i] :
                  ( ~ ( end_point @ SV99 @ SY225 )
                  | ~ ( part_of @ SY225 @ SV90 )
                  | ~ ( end_point @ SY224 @ SY225 )
                  | ~ ( inner_point @ SY223 @ SY225 ) )
              | ( between_c @ SV90 @ SV99 @ SY223 @ SY224 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[584]) ).

thf(608,plain,
    ! [SV99: $i,SV90: $i] :
      ( ( ~ ~ ( ~ ! [SY226: $i,SY227: $i] :
                    ( ~ ( between_c @ SV90 @ SV99 @ SY226 @ SY227 )
                    | ( SV99 != SY227 ) )
              | ~ ! [SY228: $i,SY229: $i] :
                    ( ~ ( between_c @ SV90 @ SV99 @ SY228 @ SY229 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) @ SV90 ) )
                              | ~ ( end_point @ SY229 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) )
                        | ~ ( inner_point @ SY228 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[584]) ).

thf(609,plain,
    ! [SV111: $i] :
      ( ( ! [SY238: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SY238 @ SV111 ) @ SY238 )
                | ~ ~ ( incident_c @ ( sK18_P @ SY238 @ SV111 ) @ SV111 ) )
            | ( part_of @ SY238 @ SV111 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[585]) ).

thf(610,plain,
    ! [SV112: $i] :
      ( ( ! [SY239: $i] :
            ( ~ ( part_of @ SY239 @ SV112 )
            | ! [SY240: $i] :
                ( ~ ( incident_c @ SY240 @ SY239 )
                | ( incident_c @ SY240 @ SV112 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[586]) ).

thf(611,plain,
    ! [SV113: $i] :
      ( ( ! [SY241: $i] :
            ( ~ ( incident_c @ SV113 @ SY241 )
            | ( end_point @ SV113 @ SY241 )
            | ( inner_point @ SV113 @ SY241 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[587]) ).

thf(612,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)],[588]) ).

thf(613,plain,
    ! [SV114: $i] :
      ( ( ! [SY242: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SY242 @ SV114 ) @ SY242 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SY242 @ SV114 ) @ SY242 ) )
                            | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SY242 @ SV114 ) ) )
                      | ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SY242 @ SV114 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SY242 @ SV114 ) @ ( sK16_SY69 @ SY242 @ SV114 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SY242 @ SV114 ) @ ( sK15_C1 @ SY242 @ SV114 ) ) ) )
            | ~ ( incident_c @ SV114 @ SY242 )
            | ( end_point @ SV114 @ SY242 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[589]) ).

thf(614,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)],[590]) ).

thf(615,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ( end_point @ SV100 @ SV91 )
        = $false )
      | ( ( ~ ( ~ ( ( SV100
                   != ( sK8_Q @ SV100 @ SV91 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV100 @ SV91 ) @ SV91 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(616,plain,
    ! [SV80: $i,SV92: $i] :
      ( ( ( part_of @ SV92 @ SV80 )
        = $false )
      | ( ( SV92 = SV80 )
        = $true )
      | ( ( open @ SV92 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(617,plain,
    ! [SV104: $i,SV101: $i,SV81: $i,SV93: $i] :
      ( ( ( ~ ( part_of @ SV93 @ SV81 )
          | ~ ( part_of @ SV101 @ SV81 )
          | ~ ( part_of @ SV104 @ SV81 )
          | ! [SY235: $i] :
              ( ~ ( end_point @ SY235 @ SV93 )
              | ~ ( end_point @ SY235 @ SV101 )
              | ~ ( end_point @ SY235 @ SV104 ) ) )
        = $true )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[593]) ).

thf(618,plain,
    ! [SV105: $i,SV102: $i,SV83: $i,SV94: $i] :
      ( ( ( ~ ( end_point @ SV94 @ SV83 )
          | ~ ( end_point @ SV102 @ SV83 )
          | ~ ( end_point @ SV105 @ SV83 ) )
        = $true )
      | ( ( ( SV102 = SV105 )
          | ( SV94 = SV102 )
          | ( SV94 = SV105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[594]) ).

thf(619,plain,
    ! [SV103: $i,SV95: $i,SV84: $i] :
      ( ( ( ~ ( closed @ SV84 )
          | ! [SY233: $i] :
              ~ ( meet @ SY233 @ SV95 @ SV103 ) )
        = $true )
      | ( ( ( SV84
           != ( sum @ SV95 @ SV103 ) ) )
        = $true )
      | ( ( ! [SY234: $i] :
              ( ~ ( end_point @ SY234 @ SV95 )
              | ( meet @ SY234 @ SV95 @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[595]) ).

thf(620,plain,
    ! [SV96: $i,SV85: $i,SV106: $i] :
      ( ( ( meet @ SV106 @ SV85 @ SV96 )
        = $false )
      | ( ( ( sK7_C @ SV96 @ SV85 )
          = ( sum @ SV85 @ SV96 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(621,plain,
    ! [SV97: $i,SV86: $i] :
      ( ( ( ( SV86
           != ( sum @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) )
          | ~ ( meet @ SV97 @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) )
        = $false )
      | ( ( inner_point @ SV97 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(622,plain,
    ! [SV87: $i,SV115: $i] :
      ( ( ! [SY243: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY243 @ SV115 @ SV87 ) @ SV87 )
                          | ~ ( incident_c @ ( sK17_Q @ SY243 @ SV115 @ SV87 ) @ SV115 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY243 @ SV115 @ SV87 ) @ SV87 )
                          | ~ ( incident_c @ ( sK17_Q @ SY243 @ SV115 @ SV87 ) @ SY243 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY243 @ SV115 @ SV87 ) @ SV87 )
                    | ( incident_c @ ( sK17_Q @ SY243 @ SV115 @ SV87 ) @ SV115 )
                    | ( incident_c @ ( sK17_Q @ SY243 @ SV115 @ SV87 ) @ SY243 ) ) )
            | ( SV87
              = ( sum @ SV115 @ SY243 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[598]) ).

thf(623,plain,
    ! [SV116: $i,SV87: $i] :
      ( ( ! [SY244: $i] :
            ( ( SV87
             != ( sum @ SV116 @ SY244 ) )
            | ~ ( ~ ! [SY245: $i] :
                      ( ~ ( incident_c @ SY245 @ SV87 )
                      | ( incident_c @ SY245 @ SV116 )
                      | ( incident_c @ SY245 @ SY244 ) )
                | ~ ~ ( ~ ! [SY246: $i] :
                            ( ~ ( incident_c @ SY246 @ SV116 )
                            | ( incident_c @ SY246 @ SV87 ) )
                      | ~ ! [SY193: $i] :
                            ( ~ ( incident_c @ SY193 @ SY244 )
                            | ( incident_c @ SY193 @ SV87 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[599]) ).

thf(624,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
              | ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) ) )
        = $false )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[600]) ).

thf(625,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
              | ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) ) )
        = $false )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[600]) ).

thf(626,plain,
    ! [SV107: $i] :
      ( ( ( ! [SY236: $i] :
              ~ ( end_point @ SY236 @ SV107 ) )
        = $true )
      | ( ( open @ SV107 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[601]) ).

thf(627,plain,
    ! [SV108: $i] :
      ( ( ( ~ ( open @ SV108 ) )
        = $true )
      | ( ( end_point @ ( sK12_P @ SV108 ) @ SV108 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[602]) ).

thf(628,plain,
    ! [SV89: $i,SV117: $i] :
      ( ( ! [SY248: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY248 @ SV117 @ SV89 ) @ SV117 )
                      | ~ ( incident_c @ ( sK14_Q @ SY248 @ SV117 @ SV89 ) @ SY248 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY248 @ SV117 @ SV89 ) @ SV117 )
                    | ~ ( end_point @ ( sK14_Q @ SY248 @ SV117 @ SV89 ) @ SY248 ) ) )
            | ~ ( incident_c @ SV89 @ SV117 )
            | ~ ( incident_c @ SV89 @ SY248 )
            | ( meet @ SV89 @ SV117 @ SY248 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[603]) ).

thf(629,plain,
    ! [SV89: $i] :
      ( ( ~ ! [SY197: $i,SY198: $i] :
              ( ~ ( meet @ SV89 @ 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 @ SV89 @ SY201 @ SY202 )
                    | ( incident_c @ SV89 @ SY201 ) )
              | ~ ! [SY203: $i,SY204: $i] :
                    ( ~ ( meet @ SV89 @ SY203 @ SY204 )
                    | ( incident_c @ SV89 @ SY204 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(630,plain,
    ! [SV109: $i] :
      ( ( ( ~ ( closed @ SV109 ) )
        = $true )
      | ( ( ! [SY237: $i] :
              ~ ( end_point @ SY237 @ SV109 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[605]) ).

thf(631,plain,
    ! [SV110: $i] :
      ( ( ( end_point @ ( sK13_P @ SV110 ) @ SV110 )
        = $true )
      | ( ( closed @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[606]) ).

thf(632,plain,
    ! [SV90: $i,SV99: $i] :
      ( ( ! [SY223: $i,SY224: $i] :
            ( ( SV99 = SY224 )
            | ! [SY225: $i] :
                ( ~ ( end_point @ SV99 @ SY225 )
                | ~ ( part_of @ SY225 @ SV90 )
                | ~ ( end_point @ SY224 @ SY225 )
                | ~ ( inner_point @ SY223 @ SY225 ) )
            | ( between_c @ SV90 @ SV99 @ SY223 @ SY224 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[607]) ).

thf(633,plain,
    ! [SV99: $i,SV90: $i] :
      ( ( ~ ( ~ ! [SY226: $i,SY227: $i] :
                  ( ~ ( between_c @ SV90 @ SV99 @ SY226 @ SY227 )
                  | ( SV99 != SY227 ) )
            | ~ ! [SY228: $i,SY229: $i] :
                  ( ~ ( between_c @ SV90 @ SV99 @ SY228 @ SY229 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) )
                                  | ~ ( part_of @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) @ SV90 ) )
                            | ~ ( end_point @ SY229 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) )
                      | ~ ( inner_point @ SY228 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[608]) ).

thf(634,plain,
    ! [SV111: $i,SV118: $i] :
      ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV118 )
            | ~ ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV111 ) )
        | ( part_of @ SV118 @ SV111 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[609]) ).

thf(635,plain,
    ! [SV112: $i,SV119: $i] :
      ( ( ~ ( part_of @ SV119 @ SV112 )
        | ! [SY249: $i] :
            ( ~ ( incident_c @ SY249 @ SV119 )
            | ( incident_c @ SY249 @ SV112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[610]) ).

thf(636,plain,
    ! [SV120: $i,SV113: $i] :
      ( ( ~ ( incident_c @ SV113 @ SV120 )
        | ( end_point @ SV113 @ SV120 )
        | ( inner_point @ SV113 @ SV120 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[611]) ).

thf(637,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[612]) ).

thf(638,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[612]) ).

thf(639,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                              | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
                        | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
                  | ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) ) )
            | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
                  | ~ ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) ) )
        | ~ ( incident_c @ SV114 @ SV121 )
        | ( end_point @ SV114 @ SV121 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[613]) ).

thf(640,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)],[614]) ).

thf(641,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[614]) ).

thf(642,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ( ~ ( ( SV100
               != ( sK8_Q @ SV100 @ SV91 ) ) )
          | ~ ( end_point @ ( sK8_Q @ SV100 @ SV91 ) @ SV91 ) )
        = $false )
      | ( ( end_point @ SV100 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(643,plain,
    ! [SV104: $i,SV101: $i,SV81: $i,SV93: $i] :
      ( ( ( ~ ( part_of @ SV93 @ SV81 )
          | ~ ( part_of @ SV101 @ SV81 )
          | ~ ( part_of @ SV104 @ SV81 ) )
        = $true )
      | ( ( ! [SY235: $i] :
              ( ~ ( end_point @ SY235 @ SV93 )
              | ~ ( end_point @ SY235 @ SV101 )
              | ~ ( end_point @ SY235 @ SV104 ) ) )
        = $true )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[617]) ).

thf(644,plain,
    ! [SV105: $i,SV102: $i,SV83: $i,SV94: $i] :
      ( ( ( ~ ( end_point @ SV94 @ SV83 )
          | ~ ( end_point @ SV102 @ SV83 ) )
        = $true )
      | ( ( ~ ( end_point @ SV105 @ SV83 ) )
        = $true )
      | ( ( ( SV102 = SV105 )
          | ( SV94 = SV102 )
          | ( SV94 = SV105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[618]) ).

thf(645,plain,
    ! [SV103: $i,SV95: $i,SV84: $i] :
      ( ( ( ~ ( closed @ SV84 ) )
        = $true )
      | ( ( ! [SY233: $i] :
              ~ ( meet @ SY233 @ SV95 @ SV103 ) )
        = $true )
      | ( ( ( SV84
           != ( sum @ SV95 @ SV103 ) ) )
        = $true )
      | ( ( ! [SY234: $i] :
              ( ~ ( end_point @ SY234 @ SV95 )
              | ( meet @ SY234 @ SV95 @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[619]) ).

thf(646,plain,
    ! [SV97: $i,SV86: $i] :
      ( ( ( ( SV86
           != ( sum @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) ) )
        = $false )
      | ( ( inner_point @ SV97 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[621]) ).

thf(647,plain,
    ! [SV86: $i,SV97: $i] :
      ( ( ( ~ ( meet @ SV97 @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) )
        = $false )
      | ( ( inner_point @ SV97 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[621]) ).

thf(648,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                      | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
                  | ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                      | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) )
            | ~ ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 )
                | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) )
        | ( SV87
          = ( sum @ SV115 @ SV122 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[622]) ).

thf(649,plain,
    ! [SV123: $i,SV116: $i,SV87: $i] :
      ( ( ( SV87
         != ( sum @ SV116 @ SV123 ) )
        | ~ ( ~ ! [SY250: $i] :
                  ( ~ ( incident_c @ SY250 @ SV87 )
                  | ( incident_c @ SY250 @ SV116 )
                  | ( incident_c @ SY250 @ SV123 ) )
            | ~ ~ ( ~ ! [SY246: $i] :
                        ( ~ ( incident_c @ SY246 @ SV116 )
                        | ( incident_c @ SY246 @ SV87 ) )
                  | ~ ! [SY252: $i] :
                        ( ~ ( incident_c @ SY252 @ SV123 )
                        | ( incident_c @ SY252 @ SV87 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[623]) ).

thf(650,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
          | ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) )
        = $true )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[624]) ).

thf(651,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
          | ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) )
        = $true )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[625]) ).

thf(652,plain,
    ! [SV107: $i,SV124: $i] :
      ( ( ( ~ ( end_point @ SV124 @ SV107 ) )
        = $true )
      | ( ( open @ SV107 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[626]) ).

thf(653,plain,
    ! [SV108: $i] :
      ( ( ( open @ SV108 )
        = $false )
      | ( ( end_point @ ( sK12_P @ SV108 ) @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(654,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
                  | ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
            | ~ ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
                | ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) ) )
        | ~ ( incident_c @ SV89 @ SV117 )
        | ~ ( incident_c @ SV89 @ SV125 )
        | ( meet @ SV89 @ SV117 @ SV125 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[628]) ).

thf(655,plain,
    ! [SV89: $i] :
      ( ( ~ ! [SY197: $i,SY198: $i] :
              ( ~ ( meet @ SV89 @ 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)],[629]) ).

thf(656,plain,
    ! [SV89: $i] :
      ( ( ~ ~ ( ~ ! [SY201: $i] :
                    ( ! [SY202: $i] :
                        ~ ( meet @ SV89 @ SY201 @ SY202 )
                    | ( incident_c @ SV89 @ SY201 ) )
              | ~ ! [SY203: $i,SY204: $i] :
                    ( ~ ( meet @ SV89 @ SY203 @ SY204 )
                    | ( incident_c @ SV89 @ SY204 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[629]) ).

thf(657,plain,
    ! [SV109: $i] :
      ( ( ( closed @ SV109 )
        = $false )
      | ( ( ! [SY237: $i] :
              ~ ( end_point @ SY237 @ SV109 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(658,plain,
    ! [SV126: $i,SV90: $i,SV99: $i] :
      ( ( ! [SY253: $i] :
            ( ( SV99 = SY253 )
            | ! [SY254: $i] :
                ( ~ ( end_point @ SV99 @ SY254 )
                | ~ ( part_of @ SY254 @ SV90 )
                | ~ ( end_point @ SY253 @ SY254 )
                | ~ ( inner_point @ SV126 @ SY254 ) )
            | ( between_c @ SV90 @ SV99 @ SV126 @ SY253 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[632]) ).

thf(659,plain,
    ! [SV99: $i,SV90: $i] :
      ( ( ~ ! [SY226: $i,SY227: $i] :
              ( ~ ( between_c @ SV90 @ SV99 @ SY226 @ SY227 )
              | ( SV99 != SY227 ) )
        | ~ ! [SY228: $i,SY229: $i] :
              ( ~ ( between_c @ SV90 @ SV99 @ SY228 @ SY229 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) @ SV90 ) )
                        | ~ ( end_point @ SY229 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) )
                  | ~ ( inner_point @ SY228 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[633]) ).

thf(660,plain,
    ! [SV111: $i,SV118: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV118 )
              | ~ ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV111 ) ) )
        = $true )
      | ( ( part_of @ SV118 @ SV111 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[634]) ).

thf(661,plain,
    ! [SV112: $i,SV119: $i] :
      ( ( ( ~ ( part_of @ SV119 @ SV112 ) )
        = $true )
      | ( ( ! [SY249: $i] :
              ( ~ ( incident_c @ SY249 @ SV119 )
              | ( incident_c @ SY249 @ SV112 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[635]) ).

thf(662,plain,
    ! [SV120: $i,SV113: $i] :
      ( ( ( ~ ( incident_c @ SV113 @ SV120 )
          | ( end_point @ SV113 @ SV120 ) )
        = $true )
      | ( ( inner_point @ SV113 @ SV120 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[636]) ).

thf(663,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[637]) ).

thf(664,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[638]) ).

thf(665,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
                          | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
                    | ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) ) )
          | ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[639]) ).

thf(666,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)],[640]) ).

thf(667,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[641]) ).

thf(668,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ( ~ ( ( SV100
               != ( sK8_Q @ SV100 @ SV91 ) ) ) )
        = $false )
      | ( ( end_point @ SV100 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[642]) ).

thf(669,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ( ~ ( end_point @ ( sK8_Q @ SV100 @ SV91 ) @ SV91 ) )
        = $false )
      | ( ( end_point @ SV100 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[642]) ).

thf(670,plain,
    ! [SV104: $i,SV101: $i,SV81: $i,SV93: $i] :
      ( ( ( ~ ( part_of @ SV93 @ SV81 )
          | ~ ( part_of @ SV101 @ SV81 ) )
        = $true )
      | ( ( ~ ( part_of @ SV104 @ SV81 ) )
        = $true )
      | ( ( ! [SY235: $i] :
              ( ~ ( end_point @ SY235 @ SV93 )
              | ~ ( end_point @ SY235 @ SV101 )
              | ~ ( end_point @ SY235 @ SV104 ) ) )
        = $true )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[643]) ).

thf(671,plain,
    ! [SV105: $i,SV102: $i,SV83: $i,SV94: $i] :
      ( ( ( ~ ( end_point @ SV94 @ SV83 ) )
        = $true )
      | ( ( ~ ( end_point @ SV102 @ SV83 ) )
        = $true )
      | ( ( ~ ( end_point @ SV105 @ SV83 ) )
        = $true )
      | ( ( ( SV102 = SV105 )
          | ( SV94 = SV102 )
          | ( SV94 = SV105 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[644]) ).

thf(672,plain,
    ! [SV103: $i,SV95: $i,SV84: $i] :
      ( ( ( closed @ SV84 )
        = $false )
      | ( ( ! [SY233: $i] :
              ~ ( meet @ SY233 @ SV95 @ SV103 ) )
        = $true )
      | ( ( ( SV84
           != ( sum @ SV95 @ SV103 ) ) )
        = $true )
      | ( ( ! [SY234: $i] :
              ( ~ ( end_point @ SY234 @ SV95 )
              | ( meet @ SY234 @ SV95 @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[645]) ).

thf(673,plain,
    ! [SV97: $i,SV86: $i] :
      ( ( ( SV86
          = ( sum @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) ) )
        = $true )
      | ( ( inner_point @ SV97 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[646]) ).

thf(674,plain,
    ! [SV86: $i,SV97: $i] :
      ( ( ( meet @ SV97 @ ( sK9_C1 @ SV97 @ SV86 ) @ ( sK10_SY68 @ SV97 @ SV86 ) )
        = $true )
      | ( ( inner_point @ SV97 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[647]) ).

thf(675,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                        | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
                    | ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                        | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) )
              | ~ ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                  | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 )
                  | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[648]) ).

thf(676,plain,
    ! [SV123: $i,SV116: $i,SV87: $i] :
      ( ( ( ( SV87
           != ( sum @ SV116 @ SV123 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY250: $i] :
                    ( ~ ( incident_c @ SY250 @ SV87 )
                    | ( incident_c @ SY250 @ SV116 )
                    | ( incident_c @ SY250 @ SV123 ) )
              | ~ ~ ( ~ ! [SY246: $i] :
                          ( ~ ( incident_c @ SY246 @ SV116 )
                          | ( incident_c @ SY246 @ SV87 ) )
                    | ~ ! [SY252: $i] :
                          ( ~ ( incident_c @ SY252 @ SV123 )
                          | ( incident_c @ SY252 @ SV87 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[649]) ).

thf(677,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) )
        = $true )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[650]) ).

thf(678,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
        = $true )
      | ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 )
        = $true )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[651]) ).

thf(679,plain,
    ! [SV107: $i,SV124: $i] :
      ( ( ( end_point @ SV124 @ SV107 )
        = $false )
      | ( ( open @ SV107 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(680,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
                    | ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
                  | ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) ) )
          | ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[654]) ).

thf(681,plain,
    ! [SV89: $i] :
      ( ( ! [SY197: $i,SY198: $i] :
            ( ~ ( meet @ SV89 @ 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)],[655]) ).

thf(682,plain,
    ! [SV89: $i] :
      ( ( ~ ( ~ ! [SY201: $i] :
                  ( ! [SY202: $i] :
                      ~ ( meet @ SV89 @ SY201 @ SY202 )
                  | ( incident_c @ SV89 @ SY201 ) )
            | ~ ! [SY203: $i,SY204: $i] :
                  ( ~ ( meet @ SV89 @ SY203 @ SY204 )
                  | ( incident_c @ SV89 @ SY204 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[656]) ).

thf(683,plain,
    ! [SV109: $i,SV127: $i] :
      ( ( ( ~ ( end_point @ SV127 @ SV109 ) )
        = $true )
      | ( ( closed @ SV109 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[657]) ).

thf(684,plain,
    ! [SV126: $i,SV90: $i,SV128: $i,SV99: $i] :
      ( ( ( SV99 = SV128 )
        | ! [SY255: $i] :
            ( ~ ( end_point @ SV99 @ SY255 )
            | ~ ( part_of @ SY255 @ SV90 )
            | ~ ( end_point @ SV128 @ SY255 )
            | ~ ( inner_point @ SV126 @ SY255 ) )
        | ( between_c @ SV90 @ SV99 @ SV126 @ SV128 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[658]) ).

thf(685,plain,
    ! [SV99: $i,SV90: $i] :
      ( ( ~ ! [SY226: $i,SY227: $i] :
              ( ~ ( between_c @ SV90 @ SV99 @ SY226 @ SY227 )
              | ( SV99 != SY227 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[659]) ).

thf(686,plain,
    ! [SV99: $i,SV90: $i] :
      ( ( ~ ! [SY228: $i,SY229: $i] :
              ( ~ ( between_c @ SV90 @ SV99 @ SY228 @ SY229 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) @ SV90 ) )
                        | ~ ( end_point @ SY229 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) )
                  | ~ ( inner_point @ SY228 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[659]) ).

thf(687,plain,
    ! [SV111: $i,SV118: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV118 )
          | ~ ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV111 ) )
        = $false )
      | ( ( part_of @ SV118 @ SV111 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[660]) ).

thf(688,plain,
    ! [SV112: $i,SV119: $i] :
      ( ( ( part_of @ SV119 @ SV112 )
        = $false )
      | ( ( ! [SY249: $i] :
              ( ~ ( incident_c @ SY249 @ SV119 )
              | ( incident_c @ SY249 @ SV112 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[661]) ).

thf(689,plain,
    ! [SV120: $i,SV113: $i] :
      ( ( ( ~ ( incident_c @ SV113 @ SV120 ) )
        = $true )
      | ( ( end_point @ SV113 @ SV120 )
        = $true )
      | ( ( inner_point @ SV113 @ SV120 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[662]) ).

thf(690,plain,
    ! [SV129: $i] :
      ( ( ! [SY256: $i] :
            ( ~ ( inner_point @ SV129 @ SY256 )
            | ( incident_c @ SV129 @ SY256 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[663]) ).

thf(691,plain,
    ! [SV130: $i] :
      ( ( ! [SY257: $i] :
            ( ~ ( inner_point @ SV130 @ SY257 )
            | ~ ( end_point @ SV130 @ SY257 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[664]) ).

thf(692,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
                          | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
                    | ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[665]) ).

thf(693,plain,
    ! [SV131: $i] :
      ( ( ! [SY258: $i] :
            ( ~ ( end_point @ SV131 @ SY258 )
            | ! [SY259: $i,SY260: $i] :
                ( ~ ( part_of @ SY259 @ SY258 )
                | ~ ( part_of @ SY260 @ SY258 )
                | ~ ( incident_c @ SV131 @ SY259 )
                | ~ ( incident_c @ SV131 @ SY260 )
                | ( part_of @ SY259 @ SY260 )
                | ( part_of @ SY260 @ SY259 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[666]) ).

thf(694,plain,
    ! [SV132: $i] :
      ( ( ! [SY261: $i] :
            ( ~ ( end_point @ SV132 @ SY261 )
            | ( incident_c @ SV132 @ SY261 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[667]) ).

thf(695,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ( ( SV100
           != ( sK8_Q @ SV100 @ SV91 ) ) )
        = $true )
      | ( ( end_point @ SV100 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[668]) ).

thf(696,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ( end_point @ ( sK8_Q @ SV100 @ SV91 ) @ SV91 )
        = $true )
      | ( ( end_point @ SV100 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[669]) ).

thf(697,plain,
    ! [SV104: $i,SV101: $i,SV81: $i,SV93: $i] :
      ( ( ( ~ ( part_of @ SV93 @ SV81 ) )
        = $true )
      | ( ( ~ ( part_of @ SV101 @ SV81 ) )
        = $true )
      | ( ( ~ ( part_of @ SV104 @ SV81 ) )
        = $true )
      | ( ( ! [SY235: $i] :
              ( ~ ( end_point @ SY235 @ SV93 )
              | ~ ( end_point @ SY235 @ SV101 )
              | ~ ( end_point @ SY235 @ SV104 ) ) )
        = $true )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[670]) ).

thf(698,plain,
    ! [SV105: $i,SV102: $i,SV83: $i,SV94: $i] :
      ( ( ( end_point @ SV94 @ SV83 )
        = $false )
      | ( ( ~ ( end_point @ SV102 @ SV83 ) )
        = $true )
      | ( ( ~ ( end_point @ SV105 @ SV83 ) )
        = $true )
      | ( ( ( SV102 = SV105 )
          | ( SV94 = SV102 )
          | ( SV94 = SV105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(699,plain,
    ! [SV84: $i,SV103: $i,SV95: $i,SV133: $i] :
      ( ( ( ~ ( meet @ SV133 @ SV95 @ SV103 ) )
        = $true )
      | ( ( closed @ SV84 )
        = $false )
      | ( ( ( SV84
           != ( sum @ SV95 @ SV103 ) ) )
        = $true )
      | ( ( ! [SY234: $i] :
              ( ~ ( end_point @ SY234 @ SV95 )
              | ( meet @ SY234 @ SV95 @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[672]) ).

thf(700,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                    | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                    | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) )
          | ~ ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
              | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 )
              | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[675]) ).

thf(701,plain,
    ! [SV123: $i,SV116: $i,SV87: $i] :
      ( ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY250: $i] :
                    ( ~ ( incident_c @ SY250 @ SV87 )
                    | ( incident_c @ SY250 @ SV116 )
                    | ( incident_c @ SY250 @ SV123 ) )
              | ~ ~ ( ~ ! [SY246: $i] :
                          ( ~ ( incident_c @ SY246 @ SV116 )
                          | ( incident_c @ SY246 @ SV87 ) )
                    | ~ ! [SY252: $i] :
                          ( ~ ( incident_c @ SY252 @ SV123 )
                          | ( incident_c @ SY252 @ SV87 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[676]) ).

thf(702,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 ) )
        = $true )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(703,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
                    | ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
                  | ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[680]) ).

thf(704,plain,
    ! [SV134: $i,SV89: $i] :
      ( ( ! [SY262: $i] :
            ( ~ ( meet @ SV89 @ SV134 @ SY262 )
            | ~ ( ~ ! [SY263: $i] :
                      ( ~ ( incident_c @ SY263 @ SV134 )
                      | ~ ( incident_c @ SY263 @ SY262 )
                      | ( end_point @ SY263 @ SV134 ) )
                | ~ ! [SY264: $i] :
                      ( ~ ( incident_c @ SY264 @ SV134 )
                      | ~ ( incident_c @ SY264 @ SY262 )
                      | ( end_point @ SY264 @ SY262 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[681]) ).

thf(705,plain,
    ! [SV89: $i] :
      ( ( ~ ! [SY201: $i] :
              ( ! [SY202: $i] :
                  ~ ( meet @ SV89 @ SY201 @ SY202 )
              | ( incident_c @ SV89 @ SY201 ) )
        | ~ ! [SY203: $i,SY204: $i] :
              ( ~ ( meet @ SV89 @ SY203 @ SY204 )
              | ( incident_c @ SV89 @ SY204 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[682]) ).

thf(706,plain,
    ! [SV109: $i,SV127: $i] :
      ( ( ( end_point @ SV127 @ SV109 )
        = $false )
      | ( ( closed @ SV109 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[683]) ).

thf(707,plain,
    ! [SV126: $i,SV90: $i,SV128: $i,SV99: $i] :
      ( ( ( ( SV99 = SV128 )
          | ! [SY255: $i] :
              ( ~ ( end_point @ SV99 @ SY255 )
              | ~ ( part_of @ SY255 @ SV90 )
              | ~ ( end_point @ SV128 @ SY255 )
              | ~ ( inner_point @ SV126 @ SY255 ) ) )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(708,plain,
    ! [SV99: $i,SV90: $i] :
      ( ( ! [SY226: $i,SY227: $i] :
            ( ~ ( between_c @ SV90 @ SV99 @ SY226 @ SY227 )
            | ( SV99 != SY227 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[685]) ).

thf(709,plain,
    ! [SV99: $i,SV90: $i] :
      ( ( ! [SY228: $i,SY229: $i] :
            ( ~ ( between_c @ SV90 @ SV99 @ SY228 @ SY229 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) @ SV90 ) )
                      | ~ ( end_point @ SY229 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) )
                | ~ ( inner_point @ SY228 @ ( sK5_Cpp @ SY229 @ SY228 @ SV99 @ SV90 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[686]) ).

thf(710,plain,
    ! [SV111: $i,SV118: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV118 ) )
        = $false )
      | ( ( part_of @ SV118 @ SV111 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(711,plain,
    ! [SV111: $i,SV118: $i] :
      ( ( ( ~ ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV111 ) )
        = $false )
      | ( ( part_of @ SV118 @ SV111 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(712,plain,
    ! [SV112: $i,SV119: $i,SV135: $i] :
      ( ( ( ~ ( incident_c @ SV135 @ SV119 )
          | ( incident_c @ SV135 @ SV112 ) )
        = $true )
      | ( ( part_of @ SV119 @ SV112 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[688]) ).

thf(713,plain,
    ! [SV120: $i,SV113: $i] :
      ( ( ( incident_c @ SV113 @ SV120 )
        = $false )
      | ( ( end_point @ SV113 @ SV120 )
        = $true )
      | ( ( inner_point @ SV113 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(714,plain,
    ! [SV136: $i,SV129: $i] :
      ( ( ~ ( inner_point @ SV129 @ SV136 )
        | ( incident_c @ SV129 @ SV136 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[690]) ).

thf(715,plain,
    ! [SV137: $i,SV130: $i] :
      ( ( ~ ( inner_point @ SV130 @ SV137 )
        | ~ ( end_point @ SV130 @ SV137 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[691]) ).

thf(716,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
                      | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
                | ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) ) )
          | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[692]) ).

thf(717,plain,
    ! [SV138: $i,SV131: $i] :
      ( ( ~ ( end_point @ SV131 @ SV138 )
        | ! [SY265: $i,SY266: $i] :
            ( ~ ( part_of @ SY265 @ SV138 )
            | ~ ( part_of @ SY266 @ SV138 )
            | ~ ( incident_c @ SV131 @ SY265 )
            | ~ ( incident_c @ SV131 @ SY266 )
            | ( part_of @ SY265 @ SY266 )
            | ( part_of @ SY266 @ SY265 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[693]) ).

thf(718,plain,
    ! [SV139: $i,SV132: $i] :
      ( ( ~ ( end_point @ SV132 @ SV139 )
        | ( incident_c @ SV132 @ SV139 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[694]) ).

thf(719,plain,
    ! [SV91: $i,SV100: $i] :
      ( ( ( SV100
          = ( sK8_Q @ SV100 @ SV91 ) )
        = $false )
      | ( ( end_point @ SV100 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[695]) ).

thf(720,plain,
    ! [SV104: $i,SV101: $i,SV81: $i,SV93: $i] :
      ( ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( ~ ( part_of @ SV101 @ SV81 ) )
        = $true )
      | ( ( ~ ( part_of @ SV104 @ SV81 ) )
        = $true )
      | ( ( ! [SY235: $i] :
              ( ~ ( end_point @ SY235 @ SV93 )
              | ~ ( end_point @ SY235 @ SV101 )
              | ~ ( end_point @ SY235 @ SV104 ) ) )
        = $true )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[697]) ).

thf(721,plain,
    ! [SV105: $i,SV94: $i,SV83: $i,SV102: $i] :
      ( ( ( end_point @ SV102 @ SV83 )
        = $false )
      | ( ( end_point @ SV94 @ SV83 )
        = $false )
      | ( ( ~ ( end_point @ SV105 @ SV83 ) )
        = $true )
      | ( ( ( SV102 = SV105 )
          | ( SV94 = SV102 )
          | ( SV94 = SV105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(722,plain,
    ! [SV84: $i,SV103: $i,SV95: $i,SV133: $i] :
      ( ( ( meet @ SV133 @ SV95 @ SV103 )
        = $false )
      | ( ( closed @ SV84 )
        = $false )
      | ( ( ( SV84
           != ( sum @ SV95 @ SV103 ) ) )
        = $true )
      | ( ( ! [SY234: $i] :
              ( ~ ( end_point @ SY234 @ SV95 )
              | ( meet @ SY234 @ SV95 @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[699]) ).

thf(723,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                    | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                    | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(724,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
              | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 )
              | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(725,plain,
    ! [SV123: $i,SV116: $i,SV87: $i] :
      ( ( ( ~ ! [SY250: $i] :
                ( ~ ( incident_c @ SY250 @ SV87 )
                | ( incident_c @ SY250 @ SV116 )
                | ( incident_c @ SY250 @ SV123 ) )
          | ~ ~ ( ~ ! [SY246: $i] :
                      ( ~ ( incident_c @ SY246 @ SV116 )
                      | ( incident_c @ SY246 @ SV87 ) )
                | ~ ! [SY252: $i] :
                      ( ~ ( incident_c @ SY252 @ SV123 )
                      | ( incident_c @ SY252 @ SV87 ) ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[701]) ).

thf(726,plain,
    ! [SV88: $i,SV98: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV98 )
        = $false )
      | ( ( incident_c @ ( sK6_P @ SV98 @ SV88 ) @ SV88 )
        = $false )
      | ( ( SV88 = SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[702]) ).

thf(727,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
                | ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
          | ~ ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
              | ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[703]) ).

thf(728,plain,
    ! [SV140: $i,SV134: $i,SV89: $i] :
      ( ( ~ ( meet @ SV89 @ SV134 @ SV140 )
        | ~ ( ~ ! [SY267: $i] :
                  ( ~ ( incident_c @ SY267 @ SV134 )
                  | ~ ( incident_c @ SY267 @ SV140 )
                  | ( end_point @ SY267 @ SV134 ) )
            | ~ ! [SY268: $i] :
                  ( ~ ( incident_c @ SY268 @ SV134 )
                  | ~ ( incident_c @ SY268 @ SV140 )
                  | ( end_point @ SY268 @ SV140 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[704]) ).

thf(729,plain,
    ! [SV89: $i] :
      ( ( ~ ! [SY201: $i] :
              ( ! [SY202: $i] :
                  ~ ( meet @ SV89 @ SY201 @ SY202 )
              | ( incident_c @ SV89 @ SY201 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[705]) ).

thf(730,plain,
    ! [SV89: $i] :
      ( ( ~ ! [SY203: $i,SY204: $i] :
              ( ~ ( meet @ SV89 @ SY203 @ SY204 )
              | ( incident_c @ SV89 @ SY204 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[705]) ).

thf(731,plain,
    ! [SV126: $i,SV90: $i,SV128: $i,SV99: $i] :
      ( ( ( SV99 = SV128 )
        = $true )
      | ( ( ! [SY255: $i] :
              ( ~ ( end_point @ SV99 @ SY255 )
              | ~ ( part_of @ SY255 @ SV90 )
              | ~ ( end_point @ SV128 @ SY255 )
              | ~ ( inner_point @ SV126 @ SY255 ) ) )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[707]) ).

thf(732,plain,
    ! [SV141: $i,SV99: $i,SV90: $i] :
      ( ( ! [SY269: $i] :
            ( ~ ( between_c @ SV90 @ SV99 @ SV141 @ SY269 )
            | ( SV99 != SY269 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[708]) ).

thf(733,plain,
    ! [SV142: $i,SV99: $i,SV90: $i] :
      ( ( ! [SY270: $i] :
            ( ~ ( between_c @ SV90 @ SV99 @ SV142 @ SY270 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SY270 @ SV142 @ SV99 @ SV90 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY270 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
                      | ~ ( end_point @ SY270 @ ( sK5_Cpp @ SY270 @ SV142 @ SV99 @ SV90 ) ) )
                | ~ ( inner_point @ SV142 @ ( sK5_Cpp @ SY270 @ SV142 @ SV99 @ SV90 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[709]) ).

thf(734,plain,
    ! [SV111: $i,SV118: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV118 )
        = $true )
      | ( ( part_of @ SV118 @ SV111 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[710]) ).

thf(735,plain,
    ! [SV111: $i,SV118: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV111 ) )
        = $true )
      | ( ( part_of @ SV118 @ SV111 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[711]) ).

thf(736,plain,
    ! [SV112: $i,SV119: $i,SV135: $i] :
      ( ( ( ~ ( incident_c @ SV135 @ SV119 ) )
        = $true )
      | ( ( incident_c @ SV135 @ SV112 )
        = $true )
      | ( ( part_of @ SV119 @ SV112 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[712]) ).

thf(737,plain,
    ! [SV136: $i,SV129: $i] :
      ( ( ( ~ ( inner_point @ SV129 @ SV136 ) )
        = $true )
      | ( ( incident_c @ SV129 @ SV136 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[714]) ).

thf(738,plain,
    ! [SV137: $i,SV130: $i] :
      ( ( ( ~ ( inner_point @ SV130 @ SV137 ) )
        = $true )
      | ( ( ~ ( end_point @ SV130 @ SV137 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[715]) ).

thf(739,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
                      | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
                | ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[716]) ).

thf(740,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[716]) ).

thf(741,plain,
    ! [SV138: $i,SV131: $i] :
      ( ( ( ~ ( end_point @ SV131 @ SV138 ) )
        = $true )
      | ( ( ! [SY265: $i,SY266: $i] :
              ( ~ ( part_of @ SY265 @ SV138 )
              | ~ ( part_of @ SY266 @ SV138 )
              | ~ ( incident_c @ SV131 @ SY265 )
              | ~ ( incident_c @ SV131 @ SY266 )
              | ( part_of @ SY265 @ SY266 )
              | ( part_of @ SY266 @ SY265 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[717]) ).

thf(742,plain,
    ! [SV139: $i,SV132: $i] :
      ( ( ( ~ ( end_point @ SV132 @ SV139 ) )
        = $true )
      | ( ( incident_c @ SV132 @ SV139 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[718]) ).

thf(743,plain,
    ! [SV104: $i,SV93: $i,SV81: $i,SV101: $i] :
      ( ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( ~ ( part_of @ SV104 @ SV81 ) )
        = $true )
      | ( ( ! [SY235: $i] :
              ( ~ ( end_point @ SY235 @ SV93 )
              | ~ ( end_point @ SY235 @ SV101 )
              | ~ ( end_point @ SY235 @ SV104 ) ) )
        = $true )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[720]) ).

thf(744,plain,
    ! [SV102: $i,SV94: $i,SV83: $i,SV105: $i] :
      ( ( ( end_point @ SV105 @ SV83 )
        = $false )
      | ( ( end_point @ SV94 @ SV83 )
        = $false )
      | ( ( end_point @ SV102 @ SV83 )
        = $false )
      | ( ( ( SV102 = SV105 )
          | ( SV94 = SV102 )
          | ( SV94 = SV105 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[721]) ).

thf(745,plain,
    ! [SV133: $i,SV103: $i,SV95: $i,SV84: $i] :
      ( ( ( SV84
          = ( sum @ SV95 @ SV103 ) )
        = $false )
      | ( ( closed @ SV84 )
        = $false )
      | ( ( meet @ SV133 @ SV95 @ SV103 )
        = $false )
      | ( ( ! [SY234: $i] :
              ( ~ ( end_point @ SY234 @ SV95 )
              | ( meet @ SY234 @ SV95 @ SV103 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(746,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                  | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
              | ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
                  | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[723]) ).

thf(747,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
          | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 )
          | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(748,plain,
    ! [SV123: $i,SV116: $i,SV87: $i] :
      ( ( ( ~ ! [SY250: $i] :
                ( ~ ( incident_c @ SY250 @ SV87 )
                | ( incident_c @ SY250 @ SV116 )
                | ( incident_c @ SY250 @ SV123 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[725]) ).

thf(749,plain,
    ! [SV123: $i,SV87: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ! [SY246: $i] :
                      ( ~ ( incident_c @ SY246 @ SV116 )
                      | ( incident_c @ SY246 @ SV87 ) )
                | ~ ! [SY252: $i] :
                      ( ~ ( incident_c @ SY252 @ SV123 )
                      | ( incident_c @ SY252 @ SV87 ) ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[725]) ).

thf(750,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
                | ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[727]) ).

thf(751,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
              | ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[727]) ).

thf(752,plain,
    ! [SV140: $i,SV134: $i,SV89: $i] :
      ( ( ( ~ ( meet @ SV89 @ SV134 @ SV140 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY267: $i] :
                    ( ~ ( incident_c @ SY267 @ SV134 )
                    | ~ ( incident_c @ SY267 @ SV140 )
                    | ( end_point @ SY267 @ SV134 ) )
              | ~ ! [SY268: $i] :
                    ( ~ ( incident_c @ SY268 @ SV134 )
                    | ~ ( incident_c @ SY268 @ SV140 )
                    | ( end_point @ SY268 @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[728]) ).

thf(753,plain,
    ! [SV89: $i] :
      ( ( ! [SY201: $i] :
            ( ! [SY202: $i] :
                ~ ( meet @ SV89 @ SY201 @ SY202 )
            | ( incident_c @ SV89 @ SY201 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[729]) ).

thf(754,plain,
    ! [SV89: $i] :
      ( ( ! [SY203: $i,SY204: $i] :
            ( ~ ( meet @ SV89 @ SY203 @ SY204 )
            | ( incident_c @ SV89 @ SY204 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(755,plain,
    ! [SV126: $i,SV128: $i,SV90: $i,SV143: $i,SV99: $i] :
      ( ( ( ~ ( end_point @ SV99 @ SV143 )
          | ~ ( part_of @ SV143 @ SV90 )
          | ~ ( end_point @ SV128 @ SV143 )
          | ~ ( inner_point @ SV126 @ SV143 ) )
        = $true )
      | ( ( SV99 = SV128 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[731]) ).

thf(756,plain,
    ! [SV144: $i,SV141: $i,SV99: $i,SV90: $i] :
      ( ( ~ ( between_c @ SV90 @ SV99 @ SV141 @ SV144 )
        | ( SV99 != SV144 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[732]) ).

thf(757,plain,
    ! [SV145: $i,SV142: $i,SV99: $i,SV90: $i] :
      ( ( ~ ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
                        | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
                  | ~ ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
            | ~ ( inner_point @ SV142 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[733]) ).

thf(758,plain,
    ! [SV111: $i,SV118: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV118 @ SV111 ) @ SV111 )
        = $false )
      | ( ( part_of @ SV118 @ SV111 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[735]) ).

thf(759,plain,
    ! [SV112: $i,SV119: $i,SV135: $i] :
      ( ( ( incident_c @ SV135 @ SV119 )
        = $false )
      | ( ( incident_c @ SV135 @ SV112 )
        = $true )
      | ( ( part_of @ SV119 @ SV112 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[736]) ).

thf(760,plain,
    ! [SV136: $i,SV129: $i] :
      ( ( ( inner_point @ SV129 @ SV136 )
        = $false )
      | ( ( incident_c @ SV129 @ SV136 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[737]) ).

thf(761,plain,
    ! [SV137: $i,SV130: $i] :
      ( ( ( inner_point @ SV130 @ SV137 )
        = $false )
      | ( ( ~ ( end_point @ SV130 @ SV137 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[738]) ).

thf(762,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                          | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
                    | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
              | ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[739]) ).

thf(763,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
              | ~ ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[740]) ).

thf(764,plain,
    ! [SV138: $i,SV131: $i] :
      ( ( ( end_point @ SV131 @ SV138 )
        = $false )
      | ( ( ! [SY265: $i,SY266: $i] :
              ( ~ ( part_of @ SY265 @ SV138 )
              | ~ ( part_of @ SY266 @ SV138 )
              | ~ ( incident_c @ SV131 @ SY265 )
              | ~ ( incident_c @ SV131 @ SY266 )
              | ( part_of @ SY265 @ SY266 )
              | ( part_of @ SY266 @ SY265 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(765,plain,
    ! [SV139: $i,SV132: $i] :
      ( ( ( end_point @ SV132 @ SV139 )
        = $false )
      | ( ( incident_c @ SV132 @ SV139 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(766,plain,
    ! [SV101: $i,SV93: $i,SV81: $i,SV104: $i] :
      ( ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( ! [SY235: $i] :
              ( ~ ( end_point @ SY235 @ SV93 )
              | ~ ( end_point @ SY235 @ SV101 )
              | ~ ( end_point @ SY235 @ SV104 ) ) )
        = $true )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(767,plain,
    ! [SV83: $i,SV94: $i,SV105: $i,SV102: $i] :
      ( ( ( SV102 = SV105 )
        = $true )
      | ( ( ( SV94 = SV102 )
          | ( SV94 = SV105 ) )
        = $true )
      | ( ( end_point @ SV102 @ SV83 )
        = $false )
      | ( ( end_point @ SV94 @ SV83 )
        = $false )
      | ( ( end_point @ SV105 @ SV83 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[744]) ).

thf(768,plain,
    ! [SV84: $i,SV133: $i,SV103: $i,SV95: $i,SV146: $i] :
      ( ( ( ~ ( end_point @ SV146 @ SV95 )
          | ( meet @ SV146 @ SV95 @ SV103 ) )
        = $true )
      | ( ( meet @ SV133 @ SV95 @ SV103 )
        = $false )
      | ( ( closed @ SV84 )
        = $false )
      | ( ( SV84
          = ( sum @ SV95 @ SV103 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[745]) ).

thf(769,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
              | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
          | ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
              | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[746]) ).

thf(770,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
        = $true )
      | ( ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 )
          | ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[747]) ).

thf(771,plain,
    ! [SV123: $i,SV116: $i,SV87: $i] :
      ( ( ( ! [SY250: $i] :
              ( ~ ( incident_c @ SY250 @ SV87 )
              | ( incident_c @ SY250 @ SV116 )
              | ( incident_c @ SY250 @ SV123 ) ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[748]) ).

thf(772,plain,
    ! [SV123: $i,SV87: $i,SV116: $i] :
      ( ( ( ~ ( ~ ! [SY246: $i] :
                    ( ~ ( incident_c @ SY246 @ SV116 )
                    | ( incident_c @ SY246 @ SV87 ) )
              | ~ ! [SY252: $i] :
                    ( ~ ( incident_c @ SY252 @ SV123 )
                    | ( incident_c @ SY252 @ SV87 ) ) ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[749]) ).

thf(773,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
              | ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[750]) ).

thf(774,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
          | ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[751]) ).

thf(775,plain,
    ! [SV140: $i,SV134: $i,SV89: $i] :
      ( ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false )
      | ( ( ~ ( ~ ! [SY267: $i] :
                    ( ~ ( incident_c @ SY267 @ SV134 )
                    | ~ ( incident_c @ SY267 @ SV140 )
                    | ( end_point @ SY267 @ SV134 ) )
              | ~ ! [SY268: $i] :
                    ( ~ ( incident_c @ SY268 @ SV134 )
                    | ~ ( incident_c @ SY268 @ SV140 )
                    | ( end_point @ SY268 @ SV140 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[752]) ).

thf(776,plain,
    ! [SV147: $i,SV89: $i] :
      ( ( ! [SY271: $i] :
            ~ ( meet @ SV89 @ SV147 @ SY271 )
        | ( incident_c @ SV89 @ SV147 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[753]) ).

thf(777,plain,
    ! [SV148: $i,SV89: $i] :
      ( ( ! [SY272: $i] :
            ( ~ ( meet @ SV89 @ SV148 @ SY272 )
            | ( incident_c @ SV89 @ SY272 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[754]) ).

thf(778,plain,
    ! [SV126: $i,SV128: $i,SV90: $i,SV143: $i,SV99: $i] :
      ( ( ( ~ ( end_point @ SV99 @ SV143 )
          | ~ ( part_of @ SV143 @ SV90 )
          | ~ ( end_point @ SV128 @ SV143 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV126 @ SV143 ) )
        = $true )
      | ( ( SV99 = SV128 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[755]) ).

thf(779,plain,
    ! [SV144: $i,SV141: $i,SV99: $i,SV90: $i] :
      ( ( ( ~ ( between_c @ SV90 @ SV99 @ SV141 @ SV144 ) )
        = $true )
      | ( ( ( SV99 != SV144 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[756]) ).

thf(780,plain,
    ! [SV145: $i,SV142: $i,SV99: $i,SV90: $i] :
      ( ( ( ~ ( between_c @ SV90 @ SV99 @ SV142 @ SV145 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
                    | ~ ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
              | ~ ( inner_point @ SV142 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[757]) ).

thf(781,plain,
    ! [SV137: $i,SV130: $i] :
      ( ( ( end_point @ SV130 @ SV137 )
        = $false )
      | ( ( inner_point @ SV130 @ SV137 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[761]) ).

thf(782,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
                | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
          | ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(783,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
          | ~ ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[763]) ).

thf(784,plain,
    ! [SV131: $i,SV138: $i,SV149: $i] :
      ( ( ( ! [SY273: $i] :
              ( ~ ( part_of @ SV149 @ SV138 )
              | ~ ( part_of @ SY273 @ SV138 )
              | ~ ( incident_c @ SV131 @ SV149 )
              | ~ ( incident_c @ SV131 @ SY273 )
              | ( part_of @ SV149 @ SY273 )
              | ( part_of @ SY273 @ SV149 ) ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[764]) ).

thf(785,plain,
    ! [SV81: $i,SV104: $i,SV101: $i,SV93: $i,SV150: $i] :
      ( ( ( ~ ( end_point @ SV150 @ SV93 )
          | ~ ( end_point @ SV150 @ SV101 )
          | ~ ( end_point @ SV150 @ SV104 ) )
        = $true )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[766]) ).

thf(786,plain,
    ! [SV83: $i,SV105: $i,SV102: $i,SV94: $i] :
      ( ( ( SV94 = SV102 )
        = $true )
      | ( ( SV94 = SV105 )
        = $true )
      | ( ( SV102 = SV105 )
        = $true )
      | ( ( end_point @ SV102 @ SV83 )
        = $false )
      | ( ( end_point @ SV94 @ SV83 )
        = $false )
      | ( ( end_point @ SV105 @ SV83 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[767]) ).

thf(787,plain,
    ! [SV84: $i,SV133: $i,SV103: $i,SV95: $i,SV146: $i] :
      ( ( ( ~ ( end_point @ SV146 @ SV95 ) )
        = $true )
      | ( ( meet @ SV146 @ SV95 @ SV103 )
        = $true )
      | ( ( meet @ SV133 @ SV95 @ SV103 )
        = $false )
      | ( ( closed @ SV84 )
        = $false )
      | ( ( SV84
          = ( sum @ SV95 @ SV103 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[768]) ).

thf(788,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
              | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(789,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
              | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(790,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[770]) ).

thf(791,plain,
    ! [SV123: $i,SV116: $i,SV87: $i,SV151: $i] :
      ( ( ( ~ ( incident_c @ SV151 @ SV87 )
          | ( incident_c @ SV151 @ SV116 )
          | ( incident_c @ SV151 @ SV123 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[771]) ).

thf(792,plain,
    ! [SV123: $i,SV87: $i,SV116: $i] :
      ( ( ( ~ ! [SY246: $i] :
                ( ~ ( incident_c @ SY246 @ SV116 )
                | ( incident_c @ SY246 @ SV87 ) )
          | ~ ! [SY252: $i] :
                ( ~ ( incident_c @ SY252 @ SV123 )
                | ( incident_c @ SY252 @ SV87 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(793,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
          | ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(794,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 ) )
        = $true )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[774]) ).

thf(795,plain,
    ! [SV89: $i,SV140: $i,SV134: $i] :
      ( ( ( ~ ! [SY267: $i] :
                ( ~ ( incident_c @ SY267 @ SV134 )
                | ~ ( incident_c @ SY267 @ SV140 )
                | ( end_point @ SY267 @ SV134 ) )
          | ~ ! [SY268: $i] :
                ( ~ ( incident_c @ SY268 @ SV134 )
                | ~ ( incident_c @ SY268 @ SV140 )
                | ( end_point @ SY268 @ SV140 ) ) )
        = $false )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(796,plain,
    ! [SV147: $i,SV89: $i] :
      ( ( ( ! [SY271: $i] :
              ~ ( meet @ SV89 @ SV147 @ SY271 ) )
        = $true )
      | ( ( incident_c @ SV89 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[776]) ).

thf(797,plain,
    ! [SV152: $i,SV148: $i,SV89: $i] :
      ( ( ~ ( meet @ SV89 @ SV148 @ SV152 )
        | ( incident_c @ SV89 @ SV152 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[777]) ).

thf(798,plain,
    ! [SV126: $i,SV128: $i,SV90: $i,SV143: $i,SV99: $i] :
      ( ( ( ~ ( end_point @ SV99 @ SV143 )
          | ~ ( part_of @ SV143 @ SV90 ) )
        = $true )
      | ( ( ~ ( end_point @ SV128 @ SV143 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV126 @ SV143 ) )
        = $true )
      | ( ( SV99 = SV128 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[778]) ).

thf(799,plain,
    ! [SV144: $i,SV141: $i,SV99: $i,SV90: $i] :
      ( ( ( between_c @ SV90 @ SV99 @ SV141 @ SV144 )
        = $false )
      | ( ( ( SV99 != SV144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[779]) ).

thf(800,plain,
    ! [SV145: $i,SV142: $i,SV99: $i,SV90: $i] :
      ( ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
                    | ~ ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
              | ~ ( inner_point @ SV142 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[780]) ).

thf(801,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
                | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[782]) ).

thf(802,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( ~ ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[782]) ).

thf(803,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[783]) ).

thf(804,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[783]) ).

thf(805,plain,
    ! [SV131: $i,SV153: $i,SV138: $i,SV149: $i] :
      ( ( ( ~ ( part_of @ SV149 @ SV138 )
          | ~ ( part_of @ SV153 @ SV138 )
          | ~ ( incident_c @ SV131 @ SV149 )
          | ~ ( incident_c @ SV131 @ SV153 )
          | ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[784]) ).

thf(806,plain,
    ! [SV81: $i,SV104: $i,SV101: $i,SV93: $i,SV150: $i] :
      ( ( ( ~ ( end_point @ SV150 @ SV93 )
          | ~ ( end_point @ SV150 @ SV101 ) )
        = $true )
      | ( ( ~ ( end_point @ SV150 @ SV104 ) )
        = $true )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[785]) ).

thf(807,plain,
    ! [SV84: $i,SV133: $i,SV103: $i,SV95: $i,SV146: $i] :
      ( ( ( end_point @ SV146 @ SV95 )
        = $false )
      | ( ( meet @ SV146 @ SV95 @ SV103 )
        = $true )
      | ( ( meet @ SV133 @ SV95 @ SV103 )
        = $false )
      | ( ( closed @ SV84 )
        = $false )
      | ( ( SV84
          = ( sum @ SV95 @ SV103 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[787]) ).

thf(808,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
          | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[788]) ).

thf(809,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
          | ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[789]) ).

thf(810,plain,
    ! [SV123: $i,SV116: $i,SV87: $i,SV151: $i] :
      ( ( ( ~ ( incident_c @ SV151 @ SV87 ) )
        = $true )
      | ( ( ( incident_c @ SV151 @ SV116 )
          | ( incident_c @ SV151 @ SV123 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[791]) ).

thf(811,plain,
    ! [SV123: $i,SV87: $i,SV116: $i] :
      ( ( ( ~ ! [SY246: $i] :
                ( ~ ( incident_c @ SY246 @ SV116 )
                | ( incident_c @ SY246 @ SV87 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[792]) ).

thf(812,plain,
    ! [SV116: $i,SV87: $i,SV123: $i] :
      ( ( ( ~ ! [SY252: $i] :
                ( ~ ( incident_c @ SY252 @ SV123 )
                | ( incident_c @ SY252 @ SV87 ) ) )
        = $false )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[792]) ).

thf(813,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[793]) ).

thf(814,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[793]) ).

thf(815,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $false )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[794]) ).

thf(816,plain,
    ! [SV89: $i,SV140: $i,SV134: $i] :
      ( ( ( ~ ! [SY267: $i] :
                ( ~ ( incident_c @ SY267 @ SV134 )
                | ~ ( incident_c @ SY267 @ SV140 )
                | ( end_point @ SY267 @ SV134 ) ) )
        = $false )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[795]) ).

thf(817,plain,
    ! [SV89: $i,SV140: $i,SV134: $i] :
      ( ( ( ~ ! [SY268: $i] :
                ( ~ ( incident_c @ SY268 @ SV134 )
                | ~ ( incident_c @ SY268 @ SV140 )
                | ( end_point @ SY268 @ SV140 ) ) )
        = $false )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[795]) ).

thf(818,plain,
    ! [SV154: $i,SV147: $i,SV89: $i] :
      ( ( ( ~ ( meet @ SV89 @ SV147 @ SV154 ) )
        = $true )
      | ( ( incident_c @ SV89 @ SV147 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[796]) ).

thf(819,plain,
    ! [SV152: $i,SV148: $i,SV89: $i] :
      ( ( ( ~ ( meet @ SV89 @ SV148 @ SV152 ) )
        = $true )
      | ( ( incident_c @ SV89 @ SV152 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[797]) ).

thf(820,plain,
    ! [SV126: $i,SV128: $i,SV90: $i,SV143: $i,SV99: $i] :
      ( ( ( ~ ( end_point @ SV99 @ SV143 ) )
        = $true )
      | ( ( ~ ( part_of @ SV143 @ SV90 ) )
        = $true )
      | ( ( ~ ( end_point @ SV128 @ SV143 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV126 @ SV143 ) )
        = $true )
      | ( ( SV99 = SV128 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[798]) ).

thf(821,plain,
    ! [SV141: $i,SV90: $i,SV144: $i,SV99: $i] :
      ( ( ( SV99 = SV144 )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV141 @ SV144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(822,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
                | ~ ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
          | ~ ( inner_point @ SV142 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(823,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                    | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
              | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[801]) ).

thf(824,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[802]) ).

thf(825,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[803]) ).

thf(826,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[804]) ).

thf(827,plain,
    ! [SV131: $i,SV153: $i,SV138: $i,SV149: $i] :
      ( ( ( ~ ( part_of @ SV149 @ SV138 )
          | ~ ( part_of @ SV153 @ SV138 )
          | ~ ( incident_c @ SV131 @ SV149 )
          | ~ ( incident_c @ SV131 @ SV153 ) )
        = $true )
      | ( ( ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[805]) ).

thf(828,plain,
    ! [SV81: $i,SV104: $i,SV101: $i,SV93: $i,SV150: $i] :
      ( ( ( ~ ( end_point @ SV150 @ SV93 ) )
        = $true )
      | ( ( ~ ( end_point @ SV150 @ SV101 ) )
        = $true )
      | ( ( ~ ( end_point @ SV150 @ SV104 ) )
        = $true )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[806]) ).

thf(829,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[808]) ).

thf(830,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[809]) ).

thf(831,plain,
    ! [SV123: $i,SV116: $i,SV87: $i,SV151: $i] :
      ( ( ( incident_c @ SV151 @ SV87 )
        = $false )
      | ( ( ( incident_c @ SV151 @ SV116 )
          | ( incident_c @ SV151 @ SV123 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[810]) ).

thf(832,plain,
    ! [SV123: $i,SV87: $i,SV116: $i] :
      ( ( ( ! [SY246: $i] :
              ( ~ ( incident_c @ SY246 @ SV116 )
              | ( incident_c @ SY246 @ SV87 ) ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[811]) ).

thf(833,plain,
    ! [SV116: $i,SV87: $i,SV123: $i] :
      ( ( ( ! [SY252: $i] :
              ( ~ ( incident_c @ SY252 @ SV123 )
              | ( incident_c @ SY252 @ SV87 ) ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[812]) ).

thf(834,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[813]) ).

thf(835,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[814]) ).

thf(836,plain,
    ! [SV89: $i,SV117: $i,SV125: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV117 )
          | ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[815]) ).

thf(837,plain,
    ! [SV89: $i,SV140: $i,SV134: $i] :
      ( ( ( ! [SY267: $i] :
              ( ~ ( incident_c @ SY267 @ SV134 )
              | ~ ( incident_c @ SY267 @ SV140 )
              | ( end_point @ SY267 @ SV134 ) ) )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[816]) ).

thf(838,plain,
    ! [SV89: $i,SV140: $i,SV134: $i] :
      ( ( ( ! [SY268: $i] :
              ( ~ ( incident_c @ SY268 @ SV134 )
              | ~ ( incident_c @ SY268 @ SV140 )
              | ( end_point @ SY268 @ SV140 ) ) )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[817]) ).

thf(839,plain,
    ! [SV154: $i,SV147: $i,SV89: $i] :
      ( ( ( meet @ SV89 @ SV147 @ SV154 )
        = $false )
      | ( ( incident_c @ SV89 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[818]) ).

thf(840,plain,
    ! [SV152: $i,SV148: $i,SV89: $i] :
      ( ( ( meet @ SV89 @ SV148 @ SV152 )
        = $false )
      | ( ( incident_c @ SV89 @ SV152 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[819]) ).

thf(841,plain,
    ! [SV126: $i,SV128: $i,SV90: $i,SV143: $i,SV99: $i] :
      ( ( ( end_point @ SV99 @ SV143 )
        = $false )
      | ( ( ~ ( part_of @ SV143 @ SV90 ) )
        = $true )
      | ( ( ~ ( end_point @ SV128 @ SV143 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV126 @ SV143 ) )
        = $true )
      | ( ( SV99 = SV128 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[820]) ).

thf(842,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
                | ~ ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[822]) ).

thf(843,plain,
    ! [SV90: $i,SV99: $i,SV145: $i,SV142: $i] :
      ( ( ( ~ ( inner_point @ SV142 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[822]) ).

thf(844,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
          | ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[823]) ).

thf(845,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( incident_c @ SV114 @ SV121 )
        = $false )
      | ( ( incident_c @ SV114 @ ( sK16_SY69 @ SV121 @ SV114 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[824]) ).

thf(846,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[825]) ).

thf(847,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[826]) ).

thf(848,plain,
    ! [SV131: $i,SV153: $i,SV138: $i,SV149: $i] :
      ( ( ( ~ ( part_of @ SV149 @ SV138 )
          | ~ ( part_of @ SV153 @ SV138 )
          | ~ ( incident_c @ SV131 @ SV149 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV131 @ SV153 ) )
        = $true )
      | ( ( ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[827]) ).

thf(849,plain,
    ! [SV81: $i,SV104: $i,SV101: $i,SV93: $i,SV150: $i] :
      ( ( ( end_point @ SV150 @ SV93 )
        = $false )
      | ( ( ~ ( end_point @ SV150 @ SV101 ) )
        = $true )
      | ( ( ~ ( end_point @ SV150 @ SV104 ) )
        = $true )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[828]) ).

thf(850,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[829]) ).

thf(851,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[830]) ).

thf(852,plain,
    ! [SV87: $i,SV123: $i,SV116: $i,SV151: $i] :
      ( ( ( incident_c @ SV151 @ SV116 )
        = $true )
      | ( ( incident_c @ SV151 @ SV123 )
        = $true )
      | ( ( incident_c @ SV151 @ SV87 )
        = $false )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[831]) ).

thf(853,plain,
    ! [SV123: $i,SV87: $i,SV116: $i,SV155: $i] :
      ( ( ( ~ ( incident_c @ SV155 @ SV116 )
          | ( incident_c @ SV155 @ SV87 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[832]) ).

thf(854,plain,
    ! [SV116: $i,SV87: $i,SV123: $i,SV156: $i] :
      ( ( ( ~ ( incident_c @ SV156 @ SV123 )
          | ( incident_c @ SV156 @ SV87 ) )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[833]) ).

thf(855,plain,
    ! [SV125: $i,SV117: $i,SV89: $i] :
      ( ( ( ~ ( incident_c @ SV89 @ SV117 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[834]) ).

thf(856,plain,
    ! [SV125: $i,SV117: $i,SV89: $i] :
      ( ( ( ~ ( incident_c @ SV89 @ SV117 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[835]) ).

thf(857,plain,
    ! [SV125: $i,SV117: $i,SV89: $i] :
      ( ( ( ~ ( incident_c @ SV89 @ SV117 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 )
        = $false )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[836]) ).

thf(858,plain,
    ! [SV89: $i,SV140: $i,SV134: $i,SV157: $i] :
      ( ( ( ~ ( incident_c @ SV157 @ SV134 )
          | ~ ( incident_c @ SV157 @ SV140 )
          | ( end_point @ SV157 @ SV134 ) )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[837]) ).

thf(859,plain,
    ! [SV89: $i,SV140: $i,SV134: $i,SV158: $i] :
      ( ( ( ~ ( incident_c @ SV158 @ SV134 )
          | ~ ( incident_c @ SV158 @ SV140 )
          | ( end_point @ SV158 @ SV140 ) )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[838]) ).

thf(860,plain,
    ! [SV126: $i,SV128: $i,SV99: $i,SV90: $i,SV143: $i] :
      ( ( ( part_of @ SV143 @ SV90 )
        = $false )
      | ( ( end_point @ SV99 @ SV143 )
        = $false )
      | ( ( ~ ( end_point @ SV128 @ SV143 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV126 @ SV143 ) )
        = $true )
      | ( ( SV99 = SV128 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[841]) ).

thf(861,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
                    | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
              | ~ ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) ) )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[842]) ).

thf(862,plain,
    ! [SV90: $i,SV99: $i,SV145: $i,SV142: $i] :
      ( ( ( inner_point @ SV142 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[843]) ).

thf(863,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
                | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[844]) ).

thf(864,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( ~ ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[844]) ).

thf(865,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( incident_c @ SV114 @ SV121 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ ( sK16_SY69 @ SV121 @ SV114 ) )
        = $false )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[846]) ).

thf(866,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( incident_c @ SV114 @ SV121 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ ( sK15_C1 @ SV121 @ SV114 ) )
        = $false )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[847]) ).

thf(867,plain,
    ! [SV131: $i,SV153: $i,SV138: $i,SV149: $i] :
      ( ( ( ~ ( part_of @ SV149 @ SV138 )
          | ~ ( part_of @ SV153 @ SV138 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV131 @ SV149 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV131 @ SV153 ) )
        = $true )
      | ( ( ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[848]) ).

thf(868,plain,
    ! [SV81: $i,SV104: $i,SV93: $i,SV101: $i,SV150: $i] :
      ( ( ( end_point @ SV150 @ SV101 )
        = $false )
      | ( ( end_point @ SV150 @ SV93 )
        = $false )
      | ( ( ~ ( end_point @ SV150 @ SV104 ) )
        = $true )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[849]) ).

thf(869,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV115 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
        = $false )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[850]) ).

thf(870,plain,
    ! [SV87: $i,SV115: $i,SV122: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV122 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV122 @ SV115 @ SV87 ) @ SV87 )
        = $false )
      | ( ( SV87
          = ( sum @ SV115 @ SV122 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[851]) ).

thf(871,plain,
    ! [SV123: $i,SV87: $i,SV116: $i,SV155: $i] :
      ( ( ( ~ ( incident_c @ SV155 @ SV116 ) )
        = $true )
      | ( ( incident_c @ SV155 @ SV87 )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[853]) ).

thf(872,plain,
    ! [SV116: $i,SV87: $i,SV123: $i,SV156: $i] :
      ( ( ( ~ ( incident_c @ SV156 @ SV123 ) )
        = $true )
      | ( ( incident_c @ SV156 @ SV87 )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[854]) ).

thf(873,plain,
    ! [SV125: $i,SV117: $i,SV89: $i] :
      ( ( ( incident_c @ SV89 @ SV117 )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[855]) ).

thf(874,plain,
    ! [SV125: $i,SV117: $i,SV89: $i] :
      ( ( ( incident_c @ SV89 @ SV117 )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[856]) ).

thf(875,plain,
    ! [SV125: $i,SV117: $i,SV89: $i] :
      ( ( ( incident_c @ SV89 @ SV117 )
        = $false )
      | ( ( ~ ( incident_c @ SV89 @ SV125 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 )
        = $false )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[857]) ).

thf(876,plain,
    ! [SV89: $i,SV140: $i,SV134: $i,SV157: $i] :
      ( ( ( ~ ( incident_c @ SV157 @ SV134 )
          | ~ ( incident_c @ SV157 @ SV140 ) )
        = $true )
      | ( ( end_point @ SV157 @ SV134 )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[858]) ).

thf(877,plain,
    ! [SV89: $i,SV140: $i,SV134: $i,SV158: $i] :
      ( ( ( ~ ( incident_c @ SV158 @ SV134 )
          | ~ ( incident_c @ SV158 @ SV140 ) )
        = $true )
      | ( ( end_point @ SV158 @ SV140 )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[859]) ).

thf(878,plain,
    ! [SV126: $i,SV90: $i,SV99: $i,SV143: $i,SV128: $i] :
      ( ( ( end_point @ SV128 @ SV143 )
        = $false )
      | ( ( end_point @ SV99 @ SV143 )
        = $false )
      | ( ( part_of @ SV143 @ SV90 )
        = $false )
      | ( ( ~ ( inner_point @ SV126 @ SV143 ) )
        = $true )
      | ( ( SV99 = SV128 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[860]) ).

thf(879,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
          | ~ ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[861]) ).

thf(880,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
              | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[863]) ).

thf(881,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[864]) ).

thf(882,plain,
    ! [SV131: $i,SV153: $i,SV138: $i,SV149: $i] :
      ( ( ( ~ ( part_of @ SV149 @ SV138 ) )
        = $true )
      | ( ( ~ ( part_of @ SV153 @ SV138 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV131 @ SV149 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV131 @ SV153 ) )
        = $true )
      | ( ( ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[867]) ).

thf(883,plain,
    ! [SV81: $i,SV101: $i,SV93: $i,SV104: $i,SV150: $i] :
      ( ( ( end_point @ SV150 @ SV104 )
        = $false )
      | ( ( end_point @ SV150 @ SV93 )
        = $false )
      | ( ( end_point @ SV150 @ SV101 )
        = $false )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( ( part_of @ SV104 @ SV93 )
          | ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(884,plain,
    ! [SV123: $i,SV87: $i,SV116: $i,SV155: $i] :
      ( ( ( incident_c @ SV155 @ SV116 )
        = $false )
      | ( ( incident_c @ SV155 @ SV87 )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(885,plain,
    ! [SV116: $i,SV87: $i,SV123: $i,SV156: $i] :
      ( ( ( incident_c @ SV156 @ SV123 )
        = $false )
      | ( ( incident_c @ SV156 @ SV87 )
        = $true )
      | ( ( SV87
          = ( sum @ SV116 @ SV123 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(886,plain,
    ! [SV117: $i,SV125: $i,SV89: $i] :
      ( ( ( incident_c @ SV89 @ SV125 )
        = $false )
      | ( ( incident_c @ SV89 @ SV117 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(887,plain,
    ! [SV117: $i,SV125: $i,SV89: $i] :
      ( ( ( incident_c @ SV89 @ SV125 )
        = $false )
      | ( ( incident_c @ SV89 @ SV117 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 )
        = $true )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[874]) ).

thf(888,plain,
    ! [SV117: $i,SV125: $i,SV89: $i] :
      ( ( ( incident_c @ SV89 @ SV125 )
        = $false )
      | ( ( incident_c @ SV89 @ SV117 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV117 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV125 @ SV117 @ SV89 ) @ SV125 )
        = $false )
      | ( ( meet @ SV89 @ SV117 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[875]) ).

thf(889,plain,
    ! [SV89: $i,SV140: $i,SV134: $i,SV157: $i] :
      ( ( ( ~ ( incident_c @ SV157 @ SV134 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV157 @ SV140 ) )
        = $true )
      | ( ( end_point @ SV157 @ SV134 )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[876]) ).

thf(890,plain,
    ! [SV89: $i,SV140: $i,SV134: $i,SV158: $i] :
      ( ( ( ~ ( incident_c @ SV158 @ SV134 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV158 @ SV140 ) )
        = $true )
      | ( ( end_point @ SV158 @ SV140 )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[877]) ).

thf(891,plain,
    ! [SV128: $i,SV99: $i,SV90: $i,SV143: $i,SV126: $i] :
      ( ( ( inner_point @ SV126 @ SV143 )
        = $false )
      | ( ( part_of @ SV143 @ SV90 )
        = $false )
      | ( ( end_point @ SV99 @ SV143 )
        = $false )
      | ( ( end_point @ SV128 @ SV143 )
        = $false )
      | ( ( SV99 = SV128 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV126 @ SV128 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(892,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[879]) ).

thf(893,plain,
    ! [SV90: $i,SV99: $i,SV142: $i,SV145: $i] :
      ( ( ( ~ ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[879]) ).

thf(894,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
          | ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[880]) ).

thf(895,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( incident_c @ SV114 @ SV121 )
        = $false )
      | ( ( incident_c @ SV114 @ ( sK15_C1 @ SV121 @ SV114 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[881]) ).

thf(896,plain,
    ! [SV131: $i,SV153: $i,SV138: $i,SV149: $i] :
      ( ( ( part_of @ SV149 @ SV138 )
        = $false )
      | ( ( ~ ( part_of @ SV153 @ SV138 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV131 @ SV149 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV131 @ SV153 ) )
        = $true )
      | ( ( ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[882]) ).

thf(897,plain,
    ! [SV150: $i,SV81: $i,SV101: $i,SV93: $i,SV104: $i] :
      ( ( ( part_of @ SV104 @ SV93 )
        = $true )
      | ( ( ( part_of @ SV93 @ SV104 )
          | ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( end_point @ SV150 @ SV101 )
        = $false )
      | ( ( end_point @ SV150 @ SV93 )
        = $false )
      | ( ( end_point @ SV150 @ SV104 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[883]) ).

thf(898,plain,
    ! [SV89: $i,SV140: $i,SV134: $i,SV157: $i] :
      ( ( ( incident_c @ SV157 @ SV134 )
        = $false )
      | ( ( ~ ( incident_c @ SV157 @ SV140 ) )
        = $true )
      | ( ( end_point @ SV157 @ SV134 )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[889]) ).

thf(899,plain,
    ! [SV89: $i,SV140: $i,SV134: $i,SV158: $i] :
      ( ( ( incident_c @ SV158 @ SV134 )
        = $false )
      | ( ( ~ ( incident_c @ SV158 @ SV140 ) )
        = $true )
      | ( ( end_point @ SV158 @ SV140 )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(900,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( ~ ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
              | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) ) )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[892]) ).

thf(901,plain,
    ! [SV90: $i,SV99: $i,SV142: $i,SV145: $i] :
      ( ( ( end_point @ SV145 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[893]) ).

thf(902,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[894]) ).

thf(903,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[894]) ).

thf(904,plain,
    ! [SV131: $i,SV149: $i,SV138: $i,SV153: $i] :
      ( ( ( part_of @ SV153 @ SV138 )
        = $false )
      | ( ( part_of @ SV149 @ SV138 )
        = $false )
      | ( ( ~ ( incident_c @ SV131 @ SV149 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV131 @ SV153 ) )
        = $true )
      | ( ( ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[896]) ).

thf(905,plain,
    ! [SV150: $i,SV81: $i,SV101: $i,SV104: $i,SV93: $i] :
      ( ( ( part_of @ SV93 @ SV104 )
        = $true )
      | ( ( ( part_of @ SV101 @ SV93 )
          | ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true )
      | ( ( part_of @ SV104 @ SV93 )
        = $true )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( end_point @ SV150 @ SV101 )
        = $false )
      | ( ( end_point @ SV150 @ SV93 )
        = $false )
      | ( ( end_point @ SV150 @ SV104 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[897]) ).

thf(906,plain,
    ! [SV89: $i,SV134: $i,SV140: $i,SV157: $i] :
      ( ( ( incident_c @ SV157 @ SV140 )
        = $false )
      | ( ( incident_c @ SV157 @ SV134 )
        = $false )
      | ( ( end_point @ SV157 @ SV134 )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(907,plain,
    ! [SV89: $i,SV134: $i,SV140: $i,SV158: $i] :
      ( ( ( incident_c @ SV158 @ SV140 )
        = $false )
      | ( ( incident_c @ SV158 @ SV134 )
        = $false )
      | ( ( end_point @ SV158 @ SV140 )
        = $true )
      | ( ( meet @ SV89 @ SV134 @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[899]) ).

thf(908,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
          | ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(909,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[902]) ).

thf(910,plain,
    ! [SV114: $i,SV121: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 )
        = $true )
      | ( ( ~ ( incident_c @ SV114 @ SV121 ) )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[903]) ).

thf(911,plain,
    ! [SV153: $i,SV138: $i,SV149: $i,SV131: $i] :
      ( ( ( incident_c @ SV131 @ SV149 )
        = $false )
      | ( ( part_of @ SV149 @ SV138 )
        = $false )
      | ( ( part_of @ SV153 @ SV138 )
        = $false )
      | ( ( ~ ( incident_c @ SV131 @ SV153 ) )
        = $true )
      | ( ( ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[904]) ).

thf(912,plain,
    ! [SV150: $i,SV81: $i,SV104: $i,SV93: $i,SV101: $i] :
      ( ( ( part_of @ SV101 @ SV93 )
        = $true )
      | ( ( ( part_of @ SV93 @ SV101 )
          | ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true )
      | ( ( part_of @ SV93 @ SV104 )
        = $true )
      | ( ( part_of @ SV104 @ SV93 )
        = $true )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( end_point @ SV150 @ SV101 )
        = $false )
      | ( ( end_point @ SV150 @ SV93 )
        = $false )
      | ( ( end_point @ SV150 @ SV104 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[905]) ).

thf(913,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( ~ ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[908]) ).

thf(914,plain,
    ! [SV90: $i,SV99: $i,SV142: $i,SV145: $i] :
      ( ( ( ~ ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 ) )
        = $false )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[908]) ).

thf(915,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( incident_c @ SV114 @ SV121 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV121 @ SV114 ) @ SV121 )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[909]) ).

thf(916,plain,
    ! [SV121: $i,SV114: $i] :
      ( ( ( incident_c @ SV114 @ SV121 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV121 @ SV114 ) @ SV121 )
        = $true )
      | ( ( end_point @ SV114 @ SV121 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(917,plain,
    ! [SV149: $i,SV138: $i,SV153: $i,SV131: $i] :
      ( ( ( incident_c @ SV131 @ SV153 )
        = $false )
      | ( ( part_of @ SV153 @ SV138 )
        = $false )
      | ( ( part_of @ SV149 @ SV138 )
        = $false )
      | ( ( incident_c @ SV131 @ SV149 )
        = $false )
      | ( ( ( part_of @ SV149 @ SV153 )
          | ( part_of @ SV153 @ SV149 ) )
        = $true )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[911]) ).

thf(918,plain,
    ! [SV150: $i,SV81: $i,SV104: $i,SV101: $i,SV93: $i] :
      ( ( ( part_of @ SV93 @ SV101 )
        = $true )
      | ( ( ( part_of @ SV101 @ SV104 )
          | ( part_of @ SV104 @ SV101 ) )
        = $true )
      | ( ( part_of @ SV101 @ SV93 )
        = $true )
      | ( ( part_of @ SV93 @ SV104 )
        = $true )
      | ( ( part_of @ SV104 @ SV93 )
        = $true )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( end_point @ SV150 @ SV101 )
        = $false )
      | ( ( end_point @ SV150 @ SV93 )
        = $false )
      | ( ( end_point @ SV150 @ SV104 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[912]) ).

thf(919,plain,
    ! [SV90: $i,SV142: $i,SV145: $i,SV99: $i] :
      ( ( ( end_point @ SV99 @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[913]) ).

thf(920,plain,
    ! [SV90: $i,SV99: $i,SV142: $i,SV145: $i] :
      ( ( ( part_of @ ( sK5_Cpp @ SV145 @ SV142 @ SV99 @ SV90 ) @ SV90 )
        = $true )
      | ( ( between_c @ SV90 @ SV99 @ SV142 @ SV145 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[914]) ).

thf(921,plain,
    ! [SV138: $i,SV131: $i,SV153: $i,SV149: $i] :
      ( ( ( part_of @ SV149 @ SV153 )
        = $true )
      | ( ( part_of @ SV153 @ SV149 )
        = $true )
      | ( ( incident_c @ SV131 @ SV149 )
        = $false )
      | ( ( part_of @ SV149 @ SV138 )
        = $false )
      | ( ( part_of @ SV153 @ SV138 )
        = $false )
      | ( ( incident_c @ SV131 @ SV153 )
        = $false )
      | ( ( end_point @ SV131 @ SV138 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[917]) ).

thf(922,plain,
    ! [SV150: $i,SV81: $i,SV93: $i,SV104: $i,SV101: $i] :
      ( ( ( part_of @ SV101 @ SV104 )
        = $true )
      | ( ( part_of @ SV104 @ SV101 )
        = $true )
      | ( ( part_of @ SV93 @ SV101 )
        = $true )
      | ( ( part_of @ SV101 @ SV93 )
        = $true )
      | ( ( part_of @ SV93 @ SV104 )
        = $true )
      | ( ( part_of @ SV104 @ SV93 )
        = $true )
      | ( ( part_of @ SV104 @ SV81 )
        = $false )
      | ( ( part_of @ SV93 @ SV81 )
        = $false )
      | ( ( part_of @ SV101 @ SV81 )
        = $false )
      | ( ( end_point @ SV150 @ SV101 )
        = $false )
      | ( ( end_point @ SV150 @ SV93 )
        = $false )
      | ( ( end_point @ SV150 @ SV104 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[918]) ).

thf(923,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[517,922,921,920,919,916,915,907,906,901,895,891,888,887,886,885,884,870,869,866,865,862,852,845,840,839,821,807,790,786,781,765,760,759,758,734,726,719,713,706,696,679,678,674,673,653,631,620,616,536,532]) ).

thf(924,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK18_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK18_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)],[75]) ).

thf(925,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK17_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)],[74]) ).

thf(926,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK15_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK16_SY69 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK15_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK15_C1 @ C @ P ) @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK16_SY69 @ C @ P ) @ ( sK15_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)],[73]) ).

thf(927,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)],[72]) ).

thf(928,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK14_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK14_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)],[71]) ).

thf(929,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK13_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(930,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK12_P @ C ) @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(931,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(932,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)],[67]) ).

thf(933,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK11_P @ C ) @ C ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(934,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) )
            & ( meet @ P @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(935,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)],[64]) ).

thf(936,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK8_Q @ P @ C ) )
            & ( end_point @ ( sK8_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(937,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)],[62]) ).

thf(938,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK7_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(939,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(940,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 @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK5_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK5_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(941,plain,
    ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ sK4_SY67 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(942,plain,
    ( ( ~ ( incident_c @ sK4_SY67 @ sK1_C ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(943,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX1 @ SX0 )
          | ~ ( ~ ( ( SX1
                   != ( sK8_Q @ SX1 @ SX0 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[936]) ).

thf(944,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)],[927]) ).

thf(945,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                          | ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ( incident_c @ ( sK17_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)],[925]) ).

thf(946,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                    | ~ ~ ( incident_c @ ( sK18_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)],[924]) ).

thf(947,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( closed @ SX0 )
                | ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
                | ( closed @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[929]) ).

thf(948,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[939]) ).

thf(949,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX1 @ SX0 )
          | ~ ( ( SX0
               != ( sum @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) )
              | ~ ( meet @ SX1 @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[934]) ).

thf(950,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                            | ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ~ ( end_point @ ( sK14_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)],[928]) ).

thf(951,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 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
                                  | ~ ( end_point @ SX3 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ( inner_point @ SX2 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[940]) ).

thf(952,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                                | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                          | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                          | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[926]) ).

thf(953,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 )
                | ( open @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( open @ SX0 )
                | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[930]) ).

thf(954,plain,
    ! [SV159: $i] :
      ( ( ! [SY274: $i] :
            ( ( SY274 = SV159 )
            | ~ ( part_of @ SY274 @ SV159 )
            | ( open @ SY274 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[931]) ).

thf(955,plain,
    ! [SV160: $i] :
      ( ( ! [SY275: $i,SY276: $i,SY277: $i] :
            ( ~ ( part_of @ SY275 @ SV160 )
            | ~ ( part_of @ SY276 @ SV160 )
            | ~ ( part_of @ SY277 @ SV160 )
            | ! [P: $i] :
                ( ~ ( end_point @ P @ SY275 )
                | ~ ( end_point @ P @ SY276 )
                | ~ ( end_point @ P @ SY277 ) )
            | ( part_of @ SY277 @ SY275 )
            | ( part_of @ SY275 @ SY277 )
            | ( part_of @ SY276 @ SY275 )
            | ( part_of @ SY275 @ SY276 )
            | ( part_of @ SY276 @ SY277 )
            | ( part_of @ SY277 @ SY276 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[932]) ).

thf(956,plain,
    ! [SV161: $i] :
      ( ( inner_point @ ( sK11_P @ SV161 ) @ SV161 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[933]) ).

thf(957,plain,
    ! [SV162: $i] :
      ( ( ! [SY279: $i,SY280: $i,SY281: $i] :
            ( ~ ( end_point @ SY279 @ SV162 )
            | ~ ( end_point @ SY280 @ SV162 )
            | ~ ( end_point @ SY281 @ SV162 )
            | ( SY280 = SY281 )
            | ( SY279 = SY280 )
            | ( SY279 = SY281 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[935]) ).

thf(958,plain,
    ! [SV163: $i] :
      ( ( ! [SY282: $i,SY283: $i] :
            ( ~ ( closed @ SV163 )
            | ! [P: $i] :
                ~ ( meet @ P @ SY282 @ SY283 )
            | ( SV163
             != ( sum @ SY282 @ SY283 ) )
            | ! [Q: $i] :
                ( ~ ( end_point @ Q @ SY282 )
                | ( meet @ Q @ SY282 @ SY283 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[937]) ).

thf(959,plain,
    ! [SV164: $i] :
      ( ( ! [SY286: $i] :
            ( ! [SY287: $i] :
                ~ ( meet @ SY287 @ SV164 @ SY286 )
            | ( ( sK7_C @ SY286 @ SV164 )
              = ( sum @ SV164 @ SY286 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[938]) ).

thf(960,plain,
    ( ( incident_c @ sK4_SY67 @ sK1_C )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[942]) ).

thf(961,plain,
    ! [SV165: $i] :
      ( ( ! [SY288: $i] :
            ( ~ ( end_point @ SY288 @ SV165 )
            | ~ ( ~ ( ( SY288
                     != ( sK8_Q @ SY288 @ SV165 ) ) )
                | ~ ( end_point @ ( sK8_Q @ SY288 @ SV165 ) @ SV165 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[943]) ).

thf(962,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)],[944]) ).

thf(963,plain,
    ! [SV166: $i] :
      ( ( ~ ( ~ ! [SY289: $i,SY290: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                                | ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY289 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                                | ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY290 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                          | ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY289 )
                          | ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY290 ) ) )
                  | ( SV166
                    = ( sum @ SY289 @ SY290 ) ) )
            | ~ ! [SY291: $i,SY292: $i] :
                  ( ( SV166
                   != ( sum @ SY291 @ SY292 ) )
                  | ~ ( ~ ! [SY293: $i] :
                            ( ~ ( incident_c @ SY293 @ SV166 )
                            | ( incident_c @ SY293 @ SY291 )
                            | ( incident_c @ SY293 @ SY292 ) )
                      | ~ ~ ( ~ ! [SY294: $i] :
                                  ( ~ ( incident_c @ SY294 @ SY291 )
                                  | ( incident_c @ SY294 @ SV166 ) )
                            | ~ ! [SY295: $i] :
                                  ( ~ ( incident_c @ SY295 @ SY292 )
                                  | ( incident_c @ SY295 @ SV166 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[945]) ).

thf(964,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_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)],[946]) ).

thf(965,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[947]) ).

thf(966,plain,
    ! [SV167: $i] :
      ( ( ! [SY296: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SY296 @ SV167 ) @ SV167 )
                    | ~ ( incident_c @ ( sK6_P @ SY296 @ SV167 ) @ SY296 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SY296 @ SV167 ) @ SV167 )
                    | ( incident_c @ ( sK6_P @ SY296 @ SV167 ) @ SY296 ) ) )
            | ( SV167 = SY296 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[948]) ).

thf(967,plain,
    ! [SV168: $i] :
      ( ( ! [SY297: $i] :
            ( ~ ( inner_point @ SY297 @ SV168 )
            | ~ ( ( SV168
                 != ( sum @ ( sK9_C1 @ SY297 @ SV168 ) @ ( sK10_SY68 @ SY297 @ SV168 ) ) )
                | ~ ( meet @ SY297 @ ( sK9_C1 @ SY297 @ SV168 ) @ ( sK10_SY68 @ SY297 @ SV168 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[949]) ).

thf(968,plain,
    ! [SV169: $i] :
      ( ( ~ ( ~ ! [SY298: $i,SY299: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY298 )
                            | ~ ( incident_c @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY299 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY298 )
                          | ~ ( end_point @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY299 ) ) )
                  | ~ ( incident_c @ SV169 @ SY298 )
                  | ~ ( incident_c @ SV169 @ SY299 )
                  | ( meet @ SV169 @ SY298 @ SY299 ) )
            | ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
                        ( ~ ( meet @ SV169 @ SY300 @ SY301 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY300 )
                                  | ~ ( incident_c @ SX3 @ SY301 )
                                  | ( end_point @ SX3 @ SY300 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY300 )
                                  | ~ ( incident_c @ SX3 @ SY301 )
                                  | ( end_point @ SX3 @ SY301 ) ) ) )
                  | ~ ~ ( ~ ! [SY304: $i] :
                              ( ! [SY305: $i] :
                                  ~ ( meet @ SV169 @ SY304 @ SY305 )
                              | ( incident_c @ SV169 @ SY304 ) )
                        | ~ ! [SY306: $i,SY307: $i] :
                              ( ~ ( meet @ SV169 @ SY306 @ SY307 )
                              | ( incident_c @ SV169 @ SY307 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[950]) ).

thf(969,plain,
    ! [SV170: $i] :
      ( ( ! [SY308: $i] :
            ~ ( ~ ! [SY309: $i,SY310: $i] :
                    ( ( SY308 = SY310 )
                    | ! [SY311: $i] :
                        ( ~ ( end_point @ SY308 @ SY311 )
                        | ~ ( part_of @ SY311 @ SV170 )
                        | ~ ( end_point @ SY310 @ SY311 )
                        | ~ ( inner_point @ SY309 @ SY311 ) )
                    | ( between_c @ SV170 @ SY308 @ SY309 @ SY310 ) )
              | ~ ~ ( ~ ! [SY312: $i,SY313: $i] :
                          ( ~ ( between_c @ SV170 @ SY308 @ SY312 @ SY313 )
                          | ( SY308 != SY313 ) )
                    | ~ ! [SY314: $i,SY315: $i] :
                          ( ~ ( between_c @ SV170 @ SY308 @ SY314 @ SY315 )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY308 @ ( sK5_Cpp @ SY315 @ SY314 @ SY308 @ SV170 ) )
                                          | ~ ( part_of @ ( sK5_Cpp @ SY315 @ SY314 @ SY308 @ SV170 ) @ SV170 ) )
                                    | ~ ( end_point @ SY315 @ ( sK5_Cpp @ SY315 @ SY314 @ SY308 @ SV170 ) ) )
                              | ~ ( inner_point @ SY314 @ ( sK5_Cpp @ SY315 @ SY314 @ SY308 @ SV170 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[951]) ).

thf(970,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[952]) ).

thf(971,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(972,plain,
    ! [SV159: $i,SV171: $i] :
      ( ( ( SV171 = SV159 )
        | ~ ( part_of @ SV171 @ SV159 )
        | ( open @ SV171 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[954]) ).

thf(973,plain,
    ! [SV160: $i,SV172: $i] :
      ( ( ! [SY316: $i,SY317: $i] :
            ( ~ ( part_of @ SV172 @ SV160 )
            | ~ ( part_of @ SY316 @ SV160 )
            | ~ ( part_of @ SY317 @ SV160 )
            | ! [SY318: $i] :
                ( ~ ( end_point @ SY318 @ SV172 )
                | ~ ( end_point @ SY318 @ SY316 )
                | ~ ( end_point @ SY318 @ SY317 ) )
            | ( part_of @ SY317 @ SV172 )
            | ( part_of @ SV172 @ SY317 )
            | ( part_of @ SY316 @ SV172 )
            | ( part_of @ SV172 @ SY316 )
            | ( part_of @ SY316 @ SY317 )
            | ( part_of @ SY317 @ SY316 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[955]) ).

thf(974,plain,
    ! [SV162: $i,SV173: $i] :
      ( ( ! [SY319: $i,SY320: $i] :
            ( ~ ( end_point @ SV173 @ SV162 )
            | ~ ( end_point @ SY319 @ SV162 )
            | ~ ( end_point @ SY320 @ SV162 )
            | ( SY319 = SY320 )
            | ( SV173 = SY319 )
            | ( SV173 = SY320 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[957]) ).

thf(975,plain,
    ! [SV174: $i,SV163: $i] :
      ( ( ! [SY321: $i] :
            ( ~ ( closed @ SV163 )
            | ! [SY322: $i] :
                ~ ( meet @ SY322 @ SV174 @ SY321 )
            | ( SV163
             != ( sum @ SV174 @ SY321 ) )
            | ! [SY323: $i] :
                ( ~ ( end_point @ SY323 @ SV174 )
                | ( meet @ SY323 @ SV174 @ SY321 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[958]) ).

thf(976,plain,
    ! [SV175: $i,SV164: $i] :
      ( ( ! [SY324: $i] :
            ~ ( meet @ SY324 @ SV164 @ SV175 )
        | ( ( sK7_C @ SV175 @ SV164 )
          = ( sum @ SV164 @ SV175 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[959]) ).

thf(977,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ~ ( end_point @ SV176 @ SV165 )
        | ~ ( ~ ( ( SV176
                 != ( sK8_Q @ SV176 @ SV165 ) ) )
            | ~ ( end_point @ ( sK8_Q @ SV176 @ SV165 ) @ SV165 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[961]) ).

thf(978,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[962]) ).

thf(979,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)],[962]) ).

thf(980,plain,
    ! [SV166: $i] :
      ( ( ~ ! [SY289: $i,SY290: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                            | ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY289 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                            | ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY290 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                      | ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY289 )
                      | ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY290 ) ) )
              | ( SV166
                = ( sum @ SY289 @ SY290 ) ) )
        | ~ ! [SY291: $i,SY292: $i] :
              ( ( SV166
               != ( sum @ SY291 @ SY292 ) )
              | ~ ( ~ ! [SY293: $i] :
                        ( ~ ( incident_c @ SY293 @ SV166 )
                        | ( incident_c @ SY293 @ SY291 )
                        | ( incident_c @ SY293 @ SY292 ) )
                  | ~ ~ ( ~ ! [SY294: $i] :
                              ( ~ ( incident_c @ SY294 @ SY291 )
                              | ( incident_c @ SY294 @ SV166 ) )
                        | ~ ! [SY295: $i] :
                              ( ~ ( incident_c @ SY295 @ SY292 )
                              | ( incident_c @ SY295 @ SV166 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[963]) ).

thf(981,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[964]) ).

thf(982,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)],[964]) ).

thf(983,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[965]) ).

thf(984,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[965]) ).

thf(985,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
                | ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) )
            | ~ ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
                | ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) ) )
        | ( SV167 = SV177 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[966]) ).

thf(986,plain,
    ! [SV168: $i,SV178: $i] :
      ( ( ~ ( inner_point @ SV178 @ SV168 )
        | ~ ( ( SV168
             != ( sum @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) )
            | ~ ( meet @ SV178 @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[967]) ).

thf(987,plain,
    ! [SV169: $i] :
      ( ( ~ ! [SY298: $i,SY299: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY298 )
                        | ~ ( incident_c @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY299 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY298 )
                      | ~ ( end_point @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY299 ) ) )
              | ~ ( incident_c @ SV169 @ SY298 )
              | ~ ( incident_c @ SV169 @ SY299 )
              | ( meet @ SV169 @ SY298 @ SY299 ) )
        | ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
                    ( ~ ( meet @ SV169 @ SY300 @ SY301 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY300 )
                              | ~ ( incident_c @ SX3 @ SY301 )
                              | ( end_point @ SX3 @ SY300 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY300 )
                              | ~ ( incident_c @ SX3 @ SY301 )
                              | ( end_point @ SX3 @ SY301 ) ) ) )
              | ~ ~ ( ~ ! [SY304: $i] :
                          ( ! [SY305: $i] :
                              ~ ( meet @ SV169 @ SY304 @ SY305 )
                          | ( incident_c @ SV169 @ SY304 ) )
                    | ~ ! [SY306: $i,SY307: $i] :
                          ( ~ ( meet @ SV169 @ SY306 @ SY307 )
                          | ( incident_c @ SV169 @ SY307 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[968]) ).

thf(988,plain,
    ! [SV170: $i,SV179: $i] :
      ( ( ~ ( ~ ! [SY325: $i,SY326: $i] :
                  ( ( SV179 = SY326 )
                  | ! [SY327: $i] :
                      ( ~ ( end_point @ SV179 @ SY327 )
                      | ~ ( part_of @ SY327 @ SV170 )
                      | ~ ( end_point @ SY326 @ SY327 )
                      | ~ ( inner_point @ SY325 @ SY327 ) )
                  | ( between_c @ SV170 @ SV179 @ SY325 @ SY326 ) )
            | ~ ~ ( ~ ! [SY328: $i,SY329: $i] :
                        ( ~ ( between_c @ SV170 @ SV179 @ SY328 @ SY329 )
                        | ( SV179 != SY329 ) )
                  | ~ ! [SY330: $i,SY331: $i] :
                        ( ~ ( between_c @ SV170 @ SV179 @ SY330 @ SY331 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) @ SV170 ) )
                                  | ~ ( end_point @ SY331 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) )
                            | ~ ( inner_point @ SY330 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[969]) ).

thf(989,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[970]) ).

thf(990,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)],[970]) ).

thf(991,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[971]) ).

thf(992,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[971]) ).

thf(993,plain,
    ! [SV159: $i,SV171: $i] :
      ( ( ( ( SV171 = SV159 )
          | ~ ( part_of @ SV171 @ SV159 ) )
        = $true )
      | ( ( open @ SV171 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[972]) ).

thf(994,plain,
    ! [SV180: $i,SV160: $i,SV172: $i] :
      ( ( ! [SY332: $i] :
            ( ~ ( part_of @ SV172 @ SV160 )
            | ~ ( part_of @ SV180 @ SV160 )
            | ~ ( part_of @ SY332 @ SV160 )
            | ! [SY333: $i] :
                ( ~ ( end_point @ SY333 @ SV172 )
                | ~ ( end_point @ SY333 @ SV180 )
                | ~ ( end_point @ SY333 @ SY332 ) )
            | ( part_of @ SY332 @ SV172 )
            | ( part_of @ SV172 @ SY332 )
            | ( part_of @ SV180 @ SV172 )
            | ( part_of @ SV172 @ SV180 )
            | ( part_of @ SV180 @ SY332 )
            | ( part_of @ SY332 @ SV180 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[973]) ).

thf(995,plain,
    ! [SV181: $i,SV162: $i,SV173: $i] :
      ( ( ! [SY334: $i] :
            ( ~ ( end_point @ SV173 @ SV162 )
            | ~ ( end_point @ SV181 @ SV162 )
            | ~ ( end_point @ SY334 @ SV162 )
            | ( SV181 = SY334 )
            | ( SV173 = SV181 )
            | ( SV173 = SY334 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[974]) ).

thf(996,plain,
    ! [SV182: $i,SV174: $i,SV163: $i] :
      ( ( ~ ( closed @ SV163 )
        | ! [SY335: $i] :
            ~ ( meet @ SY335 @ SV174 @ SV182 )
        | ( SV163
         != ( sum @ SV174 @ SV182 ) )
        | ! [SY336: $i] :
            ( ~ ( end_point @ SY336 @ SV174 )
            | ( meet @ SY336 @ SV174 @ SV182 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[975]) ).

thf(997,plain,
    ! [SV175: $i,SV164: $i] :
      ( ( ( ! [SY324: $i] :
              ~ ( meet @ SY324 @ SV164 @ SV175 ) )
        = $true )
      | ( ( ( sK7_C @ SV175 @ SV164 )
          = ( sum @ SV164 @ SV175 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[976]) ).

thf(998,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ( ~ ( end_point @ SV176 @ SV165 ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV176
                   != ( sK8_Q @ SV176 @ SV165 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV176 @ SV165 ) @ SV165 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[977]) ).

thf(999,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 )
          | ( inner_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[978]) ).

thf(1000,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)],[979]) ).

thf(1001,plain,
    ! [SV166: $i] :
      ( ( ~ ! [SY289: $i,SY290: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                            | ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY289 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                            | ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY290 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                      | ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY289 )
                      | ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY290 ) ) )
              | ( SV166
                = ( sum @ SY289 @ SY290 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[980]) ).

thf(1002,plain,
    ! [SV166: $i] :
      ( ( ~ ! [SY291: $i,SY292: $i] :
              ( ( SV166
               != ( sum @ SY291 @ SY292 ) )
              | ~ ( ~ ! [SY293: $i] :
                        ( ~ ( incident_c @ SY293 @ SV166 )
                        | ( incident_c @ SY293 @ SY291 )
                        | ( incident_c @ SY293 @ SY292 ) )
                  | ~ ~ ( ~ ! [SY294: $i] :
                              ( ~ ( incident_c @ SY294 @ SY291 )
                              | ( incident_c @ SY294 @ SV166 ) )
                        | ~ ! [SY295: $i] :
                              ( ~ ( incident_c @ SY295 @ SY292 )
                              | ( incident_c @ SY295 @ SV166 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[980]) ).

thf(1003,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
          | ( part_of @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[981]) ).

thf(1004,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)],[982]) ).

thf(1005,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( closed @ SX0 )
          | ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[983]) ).

thf(1006,plain,
    ( ( ! [SX0: $i] :
          ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
          | ( closed @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[984]) ).

thf(1007,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
                  | ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
                  | ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) ) ) )
        = $true )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[985]) ).

thf(1008,plain,
    ! [SV168: $i,SV178: $i] :
      ( ( ( ~ ( inner_point @ SV178 @ SV168 ) )
        = $true )
      | ( ( ~ ( ( SV168
               != ( sum @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) )
              | ~ ( meet @ SV178 @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[986]) ).

thf(1009,plain,
    ! [SV169: $i] :
      ( ( ~ ! [SY298: $i,SY299: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY298 )
                        | ~ ( incident_c @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY299 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY298 )
                      | ~ ( end_point @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY299 ) ) )
              | ~ ( incident_c @ SV169 @ SY298 )
              | ~ ( incident_c @ SV169 @ SY299 )
              | ( meet @ SV169 @ SY298 @ SY299 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[987]) ).

thf(1010,plain,
    ! [SV169: $i] :
      ( ( ~ ~ ( ~ ! [SY300: $i,SY301: $i] :
                    ( ~ ( meet @ SV169 @ SY300 @ SY301 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY300 )
                              | ~ ( incident_c @ SX3 @ SY301 )
                              | ( end_point @ SX3 @ SY300 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY300 )
                              | ~ ( incident_c @ SX3 @ SY301 )
                              | ( end_point @ SX3 @ SY301 ) ) ) )
              | ~ ~ ( ~ ! [SY304: $i] :
                          ( ! [SY305: $i] :
                              ~ ( meet @ SV169 @ SY304 @ SY305 )
                          | ( incident_c @ SV169 @ SY304 ) )
                    | ~ ! [SY306: $i,SY307: $i] :
                          ( ~ ( meet @ SV169 @ SY306 @ SY307 )
                          | ( incident_c @ SV169 @ SY307 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[987]) ).

thf(1011,plain,
    ! [SV170: $i,SV179: $i] :
      ( ( ~ ! [SY325: $i,SY326: $i] :
              ( ( SV179 = SY326 )
              | ! [SY327: $i] :
                  ( ~ ( end_point @ SV179 @ SY327 )
                  | ~ ( part_of @ SY327 @ SV170 )
                  | ~ ( end_point @ SY326 @ SY327 )
                  | ~ ( inner_point @ SY325 @ SY327 ) )
              | ( between_c @ SV170 @ SV179 @ SY325 @ SY326 ) )
        | ~ ~ ( ~ ! [SY328: $i,SY329: $i] :
                    ( ~ ( between_c @ SV170 @ SV179 @ SY328 @ SY329 )
                    | ( SV179 != SY329 ) )
              | ~ ! [SY330: $i,SY331: $i] :
                    ( ~ ( between_c @ SV170 @ SV179 @ SY330 @ SY331 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) @ SV170 ) )
                              | ~ ( end_point @ SY331 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) )
                        | ~ ( inner_point @ SY330 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[988]) ).

thf(1012,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                          | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                    | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
          | ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[989]) ).

thf(1013,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)],[990]) ).

thf(1014,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 )
          | ( open @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[991]) ).

thf(1015,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( open @ SX0 )
          | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[992]) ).

thf(1016,plain,
    ! [SV159: $i,SV171: $i] :
      ( ( ( SV171 = SV159 )
        = $true )
      | ( ( ~ ( part_of @ SV171 @ SV159 ) )
        = $true )
      | ( ( open @ SV171 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[993]) ).

thf(1017,plain,
    ! [SV183: $i,SV180: $i,SV160: $i,SV172: $i] :
      ( ( ~ ( part_of @ SV172 @ SV160 )
        | ~ ( part_of @ SV180 @ SV160 )
        | ~ ( part_of @ SV183 @ SV160 )
        | ! [SY337: $i] :
            ( ~ ( end_point @ SY337 @ SV172 )
            | ~ ( end_point @ SY337 @ SV180 )
            | ~ ( end_point @ SY337 @ SV183 ) )
        | ( part_of @ SV183 @ SV172 )
        | ( part_of @ SV172 @ SV183 )
        | ( part_of @ SV180 @ SV172 )
        | ( part_of @ SV172 @ SV180 )
        | ( part_of @ SV180 @ SV183 )
        | ( part_of @ SV183 @ SV180 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1018,plain,
    ! [SV184: $i,SV181: $i,SV162: $i,SV173: $i] :
      ( ( ~ ( end_point @ SV173 @ SV162 )
        | ~ ( end_point @ SV181 @ SV162 )
        | ~ ( end_point @ SV184 @ SV162 )
        | ( SV181 = SV184 )
        | ( SV173 = SV181 )
        | ( SV173 = SV184 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[995]) ).

thf(1019,plain,
    ! [SV182: $i,SV174: $i,SV163: $i] :
      ( ( ( ~ ( closed @ SV163 )
          | ! [SY335: $i] :
              ~ ( meet @ SY335 @ SV174 @ SV182 )
          | ( SV163
           != ( sum @ SV174 @ SV182 ) ) )
        = $true )
      | ( ( ! [SY336: $i] :
              ( ~ ( end_point @ SY336 @ SV174 )
              | ( meet @ SY336 @ SV174 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[996]) ).

thf(1020,plain,
    ! [SV175: $i,SV164: $i,SV185: $i] :
      ( ( ( ~ ( meet @ SV185 @ SV164 @ SV175 ) )
        = $true )
      | ( ( ( sK7_C @ SV175 @ SV164 )
          = ( sum @ SV164 @ SV175 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1021,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ( end_point @ SV176 @ SV165 )
        = $false )
      | ( ( ~ ( ~ ( ( SV176
                   != ( sK8_Q @ SV176 @ SV165 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV176 @ SV165 ) @ SV165 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1022,plain,
    ! [SV186: $i] :
      ( ( ! [SY338: $i] :
            ( ~ ( incident_c @ SV186 @ SY338 )
            | ( end_point @ SV186 @ SY338 )
            | ( inner_point @ SV186 @ SY338 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[999]) ).

thf(1023,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)],[1000]) ).

thf(1024,plain,
    ! [SV166: $i] :
      ( ( ! [SY289: $i,SY290: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                          | ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY289 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                          | ~ ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY290 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SV166 )
                    | ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY289 )
                    | ( incident_c @ ( sK17_Q @ SY290 @ SY289 @ SV166 ) @ SY290 ) ) )
            | ( SV166
              = ( sum @ SY289 @ SY290 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1001]) ).

thf(1025,plain,
    ! [SV166: $i] :
      ( ( ! [SY291: $i,SY292: $i] :
            ( ( SV166
             != ( sum @ SY291 @ SY292 ) )
            | ~ ( ~ ! [SY293: $i] :
                      ( ~ ( incident_c @ SY293 @ SV166 )
                      | ( incident_c @ SY293 @ SY291 )
                      | ( incident_c @ SY293 @ SY292 ) )
                | ~ ~ ( ~ ! [SY294: $i] :
                            ( ~ ( incident_c @ SY294 @ SY291 )
                            | ( incident_c @ SY294 @ SV166 ) )
                      | ~ ! [SY295: $i] :
                            ( ~ ( incident_c @ SY295 @ SY292 )
                            | ( incident_c @ SY295 @ SV166 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1002]) ).

thf(1026,plain,
    ! [SV187: $i] :
      ( ( ! [SY339: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SY339 @ SV187 ) @ SY339 )
                | ~ ~ ( incident_c @ ( sK18_P @ SY339 @ SV187 ) @ SV187 ) )
            | ( part_of @ SY339 @ SV187 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1003]) ).

thf(1027,plain,
    ! [SV188: $i] :
      ( ( ! [SY340: $i] :
            ( ~ ( part_of @ SY340 @ SV188 )
            | ! [SY341: $i] :
                ( ~ ( incident_c @ SY341 @ SY340 )
                | ( incident_c @ SY341 @ SV188 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1028,plain,
    ! [SV189: $i] :
      ( ( ~ ( closed @ SV189 )
        | ! [SY342: $i] :
            ~ ( end_point @ SY342 @ SV189 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1005]) ).

thf(1029,plain,
    ! [SV190: $i] :
      ( ( ( end_point @ ( sK13_P @ SV190 ) @ SV190 )
        | ( closed @ SV190 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1006]) ).

thf(1030,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
              | ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) )
          | ~ ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
              | ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) ) )
        = $false )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1007]) ).

thf(1031,plain,
    ! [SV168: $i,SV178: $i] :
      ( ( ( inner_point @ SV178 @ SV168 )
        = $false )
      | ( ( ~ ( ( SV168
               != ( sum @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) )
              | ~ ( meet @ SV178 @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1008]) ).

thf(1032,plain,
    ! [SV169: $i] :
      ( ( ! [SY298: $i,SY299: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY298 )
                      | ~ ( incident_c @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY299 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY298 )
                    | ~ ( end_point @ ( sK14_Q @ SY299 @ SY298 @ SV169 ) @ SY299 ) ) )
            | ~ ( incident_c @ SV169 @ SY298 )
            | ~ ( incident_c @ SV169 @ SY299 )
            | ( meet @ SV169 @ SY298 @ SY299 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1009]) ).

thf(1033,plain,
    ! [SV169: $i] :
      ( ( ~ ( ~ ! [SY300: $i,SY301: $i] :
                  ( ~ ( meet @ SV169 @ SY300 @ SY301 )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY300 )
                            | ~ ( incident_c @ SX3 @ SY301 )
                            | ( end_point @ SX3 @ SY300 ) )
                      | ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY300 )
                            | ~ ( incident_c @ SX3 @ SY301 )
                            | ( end_point @ SX3 @ SY301 ) ) ) )
            | ~ ~ ( ~ ! [SY304: $i] :
                        ( ! [SY305: $i] :
                            ~ ( meet @ SV169 @ SY304 @ SY305 )
                        | ( incident_c @ SV169 @ SY304 ) )
                  | ~ ! [SY306: $i,SY307: $i] :
                        ( ~ ( meet @ SV169 @ SY306 @ SY307 )
                        | ( incident_c @ SV169 @ SY307 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1010]) ).

thf(1034,plain,
    ! [SV170: $i,SV179: $i] :
      ( ( ~ ! [SY325: $i,SY326: $i] :
              ( ( SV179 = SY326 )
              | ! [SY327: $i] :
                  ( ~ ( end_point @ SV179 @ SY327 )
                  | ~ ( part_of @ SY327 @ SV170 )
                  | ~ ( end_point @ SY326 @ SY327 )
                  | ~ ( inner_point @ SY325 @ SY327 ) )
              | ( between_c @ SV170 @ SV179 @ SY325 @ SY326 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1011]) ).

thf(1035,plain,
    ! [SV179: $i,SV170: $i] :
      ( ( ~ ~ ( ~ ! [SY328: $i,SY329: $i] :
                    ( ~ ( between_c @ SV170 @ SV179 @ SY328 @ SY329 )
                    | ( SV179 != SY329 ) )
              | ~ ! [SY330: $i,SY331: $i] :
                    ( ~ ( between_c @ SV170 @ SV179 @ SY330 @ SY331 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) @ SV170 ) )
                              | ~ ( end_point @ SY331 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) )
                        | ~ ( inner_point @ SY330 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1011]) ).

thf(1036,plain,
    ! [SV191: $i] :
      ( ( ! [SY343: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SY343 @ SV191 ) @ SY343 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SY343 @ SV191 ) @ SY343 ) )
                            | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SY343 @ SV191 ) ) )
                      | ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SY343 @ SV191 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SY343 @ SV191 ) @ ( sK16_SY69 @ SY343 @ SV191 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SY343 @ SV191 ) @ ( sK15_C1 @ SY343 @ SV191 ) ) ) )
            | ~ ( incident_c @ SV191 @ SY343 )
            | ( end_point @ SV191 @ SY343 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1012]) ).

thf(1037,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)],[1013]) ).

thf(1038,plain,
    ! [SV192: $i] :
      ( ( ! [SY344: $i] :
            ~ ( end_point @ SY344 @ SV192 )
        | ( open @ SV192 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1014]) ).

thf(1039,plain,
    ! [SV193: $i] :
      ( ( ~ ( open @ SV193 )
        | ( end_point @ ( sK12_P @ SV193 ) @ SV193 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1015]) ).

thf(1040,plain,
    ! [SV159: $i,SV171: $i] :
      ( ( ( part_of @ SV171 @ SV159 )
        = $false )
      | ( ( SV171 = SV159 )
        = $true )
      | ( ( open @ SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1016]) ).

thf(1041,plain,
    ! [SV183: $i,SV180: $i,SV160: $i,SV172: $i] :
      ( ( ( ~ ( part_of @ SV172 @ SV160 )
          | ~ ( part_of @ SV180 @ SV160 )
          | ~ ( part_of @ SV183 @ SV160 )
          | ! [SY337: $i] :
              ( ~ ( end_point @ SY337 @ SV172 )
              | ~ ( end_point @ SY337 @ SV180 )
              | ~ ( end_point @ SY337 @ SV183 ) ) )
        = $true )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1017]) ).

thf(1042,plain,
    ! [SV184: $i,SV181: $i,SV162: $i,SV173: $i] :
      ( ( ( ~ ( end_point @ SV173 @ SV162 )
          | ~ ( end_point @ SV181 @ SV162 )
          | ~ ( end_point @ SV184 @ SV162 ) )
        = $true )
      | ( ( ( SV181 = SV184 )
          | ( SV173 = SV181 )
          | ( SV173 = SV184 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1018]) ).

thf(1043,plain,
    ! [SV182: $i,SV174: $i,SV163: $i] :
      ( ( ( ~ ( closed @ SV163 )
          | ! [SY335: $i] :
              ~ ( meet @ SY335 @ SV174 @ SV182 ) )
        = $true )
      | ( ( ( SV163
           != ( sum @ SV174 @ SV182 ) ) )
        = $true )
      | ( ( ! [SY336: $i] :
              ( ~ ( end_point @ SY336 @ SV174 )
              | ( meet @ SY336 @ SV174 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1019]) ).

thf(1044,plain,
    ! [SV175: $i,SV164: $i,SV185: $i] :
      ( ( ( meet @ SV185 @ SV164 @ SV175 )
        = $false )
      | ( ( ( sK7_C @ SV175 @ SV164 )
          = ( sum @ SV164 @ SV175 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1020]) ).

thf(1045,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ( ~ ( ( SV176
               != ( sK8_Q @ SV176 @ SV165 ) ) )
          | ~ ( end_point @ ( sK8_Q @ SV176 @ SV165 ) @ SV165 ) )
        = $false )
      | ( ( end_point @ SV176 @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1021]) ).

thf(1046,plain,
    ! [SV194: $i,SV186: $i] :
      ( ( ~ ( incident_c @ SV186 @ SV194 )
        | ( end_point @ SV186 @ SV194 )
        | ( inner_point @ SV186 @ SV194 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1022]) ).

thf(1047,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1023]) ).

thf(1048,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1023]) ).

thf(1049,plain,
    ! [SV166: $i,SV195: $i] :
      ( ( ! [SY345: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY345 @ SV195 @ SV166 ) @ SV166 )
                          | ~ ( incident_c @ ( sK17_Q @ SY345 @ SV195 @ SV166 ) @ SV195 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY345 @ SV195 @ SV166 ) @ SV166 )
                          | ~ ( incident_c @ ( sK17_Q @ SY345 @ SV195 @ SV166 ) @ SY345 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY345 @ SV195 @ SV166 ) @ SV166 )
                    | ( incident_c @ ( sK17_Q @ SY345 @ SV195 @ SV166 ) @ SV195 )
                    | ( incident_c @ ( sK17_Q @ SY345 @ SV195 @ SV166 ) @ SY345 ) ) )
            | ( SV166
              = ( sum @ SV195 @ SY345 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1024]) ).

thf(1050,plain,
    ! [SV196: $i,SV166: $i] :
      ( ( ! [SY346: $i] :
            ( ( SV166
             != ( sum @ SV196 @ SY346 ) )
            | ~ ( ~ ! [SY347: $i] :
                      ( ~ ( incident_c @ SY347 @ SV166 )
                      | ( incident_c @ SY347 @ SV196 )
                      | ( incident_c @ SY347 @ SY346 ) )
                | ~ ~ ( ~ ! [SY348: $i] :
                            ( ~ ( incident_c @ SY348 @ SV196 )
                            | ( incident_c @ SY348 @ SV166 ) )
                      | ~ ! [SY295: $i] :
                            ( ~ ( incident_c @ SY295 @ SY346 )
                            | ( incident_c @ SY295 @ SV166 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1025]) ).

thf(1051,plain,
    ! [SV187: $i,SV197: $i] :
      ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV197 )
            | ~ ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV187 ) )
        | ( part_of @ SV197 @ SV187 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1026]) ).

thf(1052,plain,
    ! [SV188: $i,SV198: $i] :
      ( ( ~ ( part_of @ SV198 @ SV188 )
        | ! [SY350: $i] :
            ( ~ ( incident_c @ SY350 @ SV198 )
            | ( incident_c @ SY350 @ SV188 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1027]) ).

thf(1053,plain,
    ! [SV189: $i] :
      ( ( ( ~ ( closed @ SV189 ) )
        = $true )
      | ( ( ! [SY342: $i] :
              ~ ( end_point @ SY342 @ SV189 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1028]) ).

thf(1054,plain,
    ! [SV190: $i] :
      ( ( ( end_point @ ( sK13_P @ SV190 ) @ SV190 )
        = $true )
      | ( ( closed @ SV190 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1029]) ).

thf(1055,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
              | ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) ) )
        = $false )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1030]) ).

thf(1056,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
              | ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) ) )
        = $false )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1030]) ).

thf(1057,plain,
    ! [SV178: $i,SV168: $i] :
      ( ( ( ( SV168
           != ( sum @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) )
          | ~ ( meet @ SV178 @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) )
        = $false )
      | ( ( inner_point @ SV178 @ SV168 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1031]) ).

thf(1058,plain,
    ! [SV169: $i,SV199: $i] :
      ( ( ! [SY351: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY351 @ SV199 @ SV169 ) @ SV199 )
                      | ~ ( incident_c @ ( sK14_Q @ SY351 @ SV199 @ SV169 ) @ SY351 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY351 @ SV199 @ SV169 ) @ SV199 )
                    | ~ ( end_point @ ( sK14_Q @ SY351 @ SV199 @ SV169 ) @ SY351 ) ) )
            | ~ ( incident_c @ SV169 @ SV199 )
            | ~ ( incident_c @ SV169 @ SY351 )
            | ( meet @ SV169 @ SV199 @ SY351 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1032]) ).

thf(1059,plain,
    ! [SV169: $i] :
      ( ( ~ ! [SY300: $i,SY301: $i] :
              ( ~ ( meet @ SV169 @ SY300 @ SY301 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY300 )
                        | ~ ( incident_c @ SX3 @ SY301 )
                        | ( end_point @ SX3 @ SY300 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY300 )
                        | ~ ( incident_c @ SX3 @ SY301 )
                        | ( end_point @ SX3 @ SY301 ) ) ) )
        | ~ ~ ( ~ ! [SY304: $i] :
                    ( ! [SY305: $i] :
                        ~ ( meet @ SV169 @ SY304 @ SY305 )
                    | ( incident_c @ SV169 @ SY304 ) )
              | ~ ! [SY306: $i,SY307: $i] :
                    ( ~ ( meet @ SV169 @ SY306 @ SY307 )
                    | ( incident_c @ SV169 @ SY307 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1033]) ).

thf(1060,plain,
    ! [SV170: $i,SV179: $i] :
      ( ( ! [SY325: $i,SY326: $i] :
            ( ( SV179 = SY326 )
            | ! [SY327: $i] :
                ( ~ ( end_point @ SV179 @ SY327 )
                | ~ ( part_of @ SY327 @ SV170 )
                | ~ ( end_point @ SY326 @ SY327 )
                | ~ ( inner_point @ SY325 @ SY327 ) )
            | ( between_c @ SV170 @ SV179 @ SY325 @ SY326 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1034]) ).

thf(1061,plain,
    ! [SV179: $i,SV170: $i] :
      ( ( ~ ( ~ ! [SY328: $i,SY329: $i] :
                  ( ~ ( between_c @ SV170 @ SV179 @ SY328 @ SY329 )
                  | ( SV179 != SY329 ) )
            | ~ ! [SY330: $i,SY331: $i] :
                  ( ~ ( between_c @ SV170 @ SV179 @ SY330 @ SY331 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) )
                                  | ~ ( part_of @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) @ SV170 ) )
                            | ~ ( end_point @ SY331 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) )
                      | ~ ( inner_point @ SY330 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1035]) ).

thf(1062,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                              | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
                        | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
                  | ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) ) )
            | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
                  | ~ ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) ) )
        | ~ ( incident_c @ SV191 @ SV200 )
        | ( end_point @ SV191 @ SV200 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1036]) ).

thf(1063,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)],[1037]) ).

thf(1064,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1037]) ).

thf(1065,plain,
    ! [SV192: $i] :
      ( ( ( ! [SY344: $i] :
              ~ ( end_point @ SY344 @ SV192 ) )
        = $true )
      | ( ( open @ SV192 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1038]) ).

thf(1066,plain,
    ! [SV193: $i] :
      ( ( ( ~ ( open @ SV193 ) )
        = $true )
      | ( ( end_point @ ( sK12_P @ SV193 ) @ SV193 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1039]) ).

thf(1067,plain,
    ! [SV183: $i,SV180: $i,SV160: $i,SV172: $i] :
      ( ( ( ~ ( part_of @ SV172 @ SV160 )
          | ~ ( part_of @ SV180 @ SV160 )
          | ~ ( part_of @ SV183 @ SV160 ) )
        = $true )
      | ( ( ! [SY337: $i] :
              ( ~ ( end_point @ SY337 @ SV172 )
              | ~ ( end_point @ SY337 @ SV180 )
              | ~ ( end_point @ SY337 @ SV183 ) ) )
        = $true )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1041]) ).

thf(1068,plain,
    ! [SV184: $i,SV181: $i,SV162: $i,SV173: $i] :
      ( ( ( ~ ( end_point @ SV173 @ SV162 )
          | ~ ( end_point @ SV181 @ SV162 ) )
        = $true )
      | ( ( ~ ( end_point @ SV184 @ SV162 ) )
        = $true )
      | ( ( ( SV181 = SV184 )
          | ( SV173 = SV181 )
          | ( SV173 = SV184 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1042]) ).

thf(1069,plain,
    ! [SV182: $i,SV174: $i,SV163: $i] :
      ( ( ( ~ ( closed @ SV163 ) )
        = $true )
      | ( ( ! [SY335: $i] :
              ~ ( meet @ SY335 @ SV174 @ SV182 ) )
        = $true )
      | ( ( ( SV163
           != ( sum @ SV174 @ SV182 ) ) )
        = $true )
      | ( ( ! [SY336: $i] :
              ( ~ ( end_point @ SY336 @ SV174 )
              | ( meet @ SY336 @ SV174 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1043]) ).

thf(1070,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ( ~ ( ( SV176
               != ( sK8_Q @ SV176 @ SV165 ) ) ) )
        = $false )
      | ( ( end_point @ SV176 @ SV165 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1045]) ).

thf(1071,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ( ~ ( end_point @ ( sK8_Q @ SV176 @ SV165 ) @ SV165 ) )
        = $false )
      | ( ( end_point @ SV176 @ SV165 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1045]) ).

thf(1072,plain,
    ! [SV194: $i,SV186: $i] :
      ( ( ( ~ ( incident_c @ SV186 @ SV194 )
          | ( end_point @ SV186 @ SV194 ) )
        = $true )
      | ( ( inner_point @ SV186 @ SV194 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1046]) ).

thf(1073,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1047]) ).

thf(1074,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1048]) ).

thf(1075,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                      | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
                  | ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                      | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) )
            | ~ ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 )
                | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) )
        | ( SV166
          = ( sum @ SV195 @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1049]) ).

thf(1076,plain,
    ! [SV202: $i,SV196: $i,SV166: $i] :
      ( ( ( SV166
         != ( sum @ SV196 @ SV202 ) )
        | ~ ( ~ ! [SY352: $i] :
                  ( ~ ( incident_c @ SY352 @ SV166 )
                  | ( incident_c @ SY352 @ SV196 )
                  | ( incident_c @ SY352 @ SV202 ) )
            | ~ ~ ( ~ ! [SY348: $i] :
                        ( ~ ( incident_c @ SY348 @ SV196 )
                        | ( incident_c @ SY348 @ SV166 ) )
                  | ~ ! [SY354: $i] :
                        ( ~ ( incident_c @ SY354 @ SV202 )
                        | ( incident_c @ SY354 @ SV166 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1050]) ).

thf(1077,plain,
    ! [SV187: $i,SV197: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV197 )
              | ~ ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV187 ) ) )
        = $true )
      | ( ( part_of @ SV197 @ SV187 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1051]) ).

thf(1078,plain,
    ! [SV188: $i,SV198: $i] :
      ( ( ( ~ ( part_of @ SV198 @ SV188 ) )
        = $true )
      | ( ( ! [SY350: $i] :
              ( ~ ( incident_c @ SY350 @ SV198 )
              | ( incident_c @ SY350 @ SV188 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1052]) ).

thf(1079,plain,
    ! [SV189: $i] :
      ( ( ( closed @ SV189 )
        = $false )
      | ( ( ! [SY342: $i] :
              ~ ( end_point @ SY342 @ SV189 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1053]) ).

thf(1080,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
          | ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) )
        = $true )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1055]) ).

thf(1081,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
          | ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) )
        = $true )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1056]) ).

thf(1082,plain,
    ! [SV178: $i,SV168: $i] :
      ( ( ( ( SV168
           != ( sum @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) ) )
        = $false )
      | ( ( inner_point @ SV178 @ SV168 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1057]) ).

thf(1083,plain,
    ! [SV168: $i,SV178: $i] :
      ( ( ( ~ ( meet @ SV178 @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) )
        = $false )
      | ( ( inner_point @ SV178 @ SV168 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1057]) ).

thf(1084,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
                  | ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
            | ~ ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
                | ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) ) )
        | ~ ( incident_c @ SV169 @ SV199 )
        | ~ ( incident_c @ SV169 @ SV203 )
        | ( meet @ SV169 @ SV199 @ SV203 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1058]) ).

thf(1085,plain,
    ! [SV169: $i] :
      ( ( ~ ! [SY300: $i,SY301: $i] :
              ( ~ ( meet @ SV169 @ SY300 @ SY301 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY300 )
                        | ~ ( incident_c @ SX3 @ SY301 )
                        | ( end_point @ SX3 @ SY300 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY300 )
                        | ~ ( incident_c @ SX3 @ SY301 )
                        | ( end_point @ SX3 @ SY301 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1059]) ).

thf(1086,plain,
    ! [SV169: $i] :
      ( ( ~ ~ ( ~ ! [SY304: $i] :
                    ( ! [SY305: $i] :
                        ~ ( meet @ SV169 @ SY304 @ SY305 )
                    | ( incident_c @ SV169 @ SY304 ) )
              | ~ ! [SY306: $i,SY307: $i] :
                    ( ~ ( meet @ SV169 @ SY306 @ SY307 )
                    | ( incident_c @ SV169 @ SY307 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1059]) ).

thf(1087,plain,
    ! [SV204: $i,SV170: $i,SV179: $i] :
      ( ( ! [SY355: $i] :
            ( ( SV179 = SY355 )
            | ! [SY356: $i] :
                ( ~ ( end_point @ SV179 @ SY356 )
                | ~ ( part_of @ SY356 @ SV170 )
                | ~ ( end_point @ SY355 @ SY356 )
                | ~ ( inner_point @ SV204 @ SY356 ) )
            | ( between_c @ SV170 @ SV179 @ SV204 @ SY355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1060]) ).

thf(1088,plain,
    ! [SV179: $i,SV170: $i] :
      ( ( ~ ! [SY328: $i,SY329: $i] :
              ( ~ ( between_c @ SV170 @ SV179 @ SY328 @ SY329 )
              | ( SV179 != SY329 ) )
        | ~ ! [SY330: $i,SY331: $i] :
              ( ~ ( between_c @ SV170 @ SV179 @ SY330 @ SY331 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) @ SV170 ) )
                        | ~ ( end_point @ SY331 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) )
                  | ~ ( inner_point @ SY330 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1061]) ).

thf(1089,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
                          | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
                    | ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) ) )
          | ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1062]) ).

thf(1090,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)],[1063]) ).

thf(1091,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1064]) ).

thf(1092,plain,
    ! [SV192: $i,SV205: $i] :
      ( ( ( ~ ( end_point @ SV205 @ SV192 ) )
        = $true )
      | ( ( open @ SV192 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1065]) ).

thf(1093,plain,
    ! [SV193: $i] :
      ( ( ( open @ SV193 )
        = $false )
      | ( ( end_point @ ( sK12_P @ SV193 ) @ SV193 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1066]) ).

thf(1094,plain,
    ! [SV183: $i,SV180: $i,SV160: $i,SV172: $i] :
      ( ( ( ~ ( part_of @ SV172 @ SV160 )
          | ~ ( part_of @ SV180 @ SV160 ) )
        = $true )
      | ( ( ~ ( part_of @ SV183 @ SV160 ) )
        = $true )
      | ( ( ! [SY337: $i] :
              ( ~ ( end_point @ SY337 @ SV172 )
              | ~ ( end_point @ SY337 @ SV180 )
              | ~ ( end_point @ SY337 @ SV183 ) ) )
        = $true )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1067]) ).

thf(1095,plain,
    ! [SV184: $i,SV181: $i,SV162: $i,SV173: $i] :
      ( ( ( ~ ( end_point @ SV173 @ SV162 ) )
        = $true )
      | ( ( ~ ( end_point @ SV181 @ SV162 ) )
        = $true )
      | ( ( ~ ( end_point @ SV184 @ SV162 ) )
        = $true )
      | ( ( ( SV181 = SV184 )
          | ( SV173 = SV181 )
          | ( SV173 = SV184 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1068]) ).

thf(1096,plain,
    ! [SV182: $i,SV174: $i,SV163: $i] :
      ( ( ( closed @ SV163 )
        = $false )
      | ( ( ! [SY335: $i] :
              ~ ( meet @ SY335 @ SV174 @ SV182 ) )
        = $true )
      | ( ( ( SV163
           != ( sum @ SV174 @ SV182 ) ) )
        = $true )
      | ( ( ! [SY336: $i] :
              ( ~ ( end_point @ SY336 @ SV174 )
              | ( meet @ SY336 @ SV174 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1069]) ).

thf(1097,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ( ( SV176
           != ( sK8_Q @ SV176 @ SV165 ) ) )
        = $true )
      | ( ( end_point @ SV176 @ SV165 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1070]) ).

thf(1098,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ( end_point @ ( sK8_Q @ SV176 @ SV165 ) @ SV165 )
        = $true )
      | ( ( end_point @ SV176 @ SV165 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1071]) ).

thf(1099,plain,
    ! [SV194: $i,SV186: $i] :
      ( ( ( ~ ( incident_c @ SV186 @ SV194 ) )
        = $true )
      | ( ( end_point @ SV186 @ SV194 )
        = $true )
      | ( ( inner_point @ SV186 @ SV194 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1072]) ).

thf(1100,plain,
    ! [SV206: $i] :
      ( ( ! [SY357: $i] :
            ( ~ ( inner_point @ SV206 @ SY357 )
            | ( incident_c @ SV206 @ SY357 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1073]) ).

thf(1101,plain,
    ! [SV207: $i] :
      ( ( ! [SY358: $i] :
            ( ~ ( inner_point @ SV207 @ SY358 )
            | ~ ( end_point @ SV207 @ SY358 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1074]) ).

thf(1102,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                        | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
                    | ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                        | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) )
              | ~ ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                  | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 )
                  | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1075]) ).

thf(1103,plain,
    ! [SV202: $i,SV196: $i,SV166: $i] :
      ( ( ( ( SV166
           != ( sum @ SV196 @ SV202 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY352: $i] :
                    ( ~ ( incident_c @ SY352 @ SV166 )
                    | ( incident_c @ SY352 @ SV196 )
                    | ( incident_c @ SY352 @ SV202 ) )
              | ~ ~ ( ~ ! [SY348: $i] :
                          ( ~ ( incident_c @ SY348 @ SV196 )
                          | ( incident_c @ SY348 @ SV166 ) )
                    | ~ ! [SY354: $i] :
                          ( ~ ( incident_c @ SY354 @ SV202 )
                          | ( incident_c @ SY354 @ SV166 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1076]) ).

thf(1104,plain,
    ! [SV187: $i,SV197: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV197 )
          | ~ ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV187 ) )
        = $false )
      | ( ( part_of @ SV197 @ SV187 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1077]) ).

thf(1105,plain,
    ! [SV188: $i,SV198: $i] :
      ( ( ( part_of @ SV198 @ SV188 )
        = $false )
      | ( ( ! [SY350: $i] :
              ( ~ ( incident_c @ SY350 @ SV198 )
              | ( incident_c @ SY350 @ SV188 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1078]) ).

thf(1106,plain,
    ! [SV189: $i,SV208: $i] :
      ( ( ( ~ ( end_point @ SV208 @ SV189 ) )
        = $true )
      | ( ( closed @ SV189 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1079]) ).

thf(1107,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) )
        = $true )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1080]) ).

thf(1108,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
        = $true )
      | ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 )
        = $true )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1081]) ).

thf(1109,plain,
    ! [SV178: $i,SV168: $i] :
      ( ( ( SV168
          = ( sum @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) ) )
        = $true )
      | ( ( inner_point @ SV178 @ SV168 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1082]) ).

thf(1110,plain,
    ! [SV168: $i,SV178: $i] :
      ( ( ( meet @ SV178 @ ( sK9_C1 @ SV178 @ SV168 ) @ ( sK10_SY68 @ SV178 @ SV168 ) )
        = $true )
      | ( ( inner_point @ SV178 @ SV168 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1083]) ).

thf(1111,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
                    | ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
                  | ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) ) )
          | ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1084]) ).

thf(1112,plain,
    ! [SV169: $i] :
      ( ( ! [SY300: $i,SY301: $i] :
            ( ~ ( meet @ SV169 @ SY300 @ SY301 )
            | ~ ( ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY300 )
                      | ~ ( incident_c @ SX3 @ SY301 )
                      | ( end_point @ SX3 @ SY300 ) )
                | ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY300 )
                      | ~ ( incident_c @ SX3 @ SY301 )
                      | ( end_point @ SX3 @ SY301 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1085]) ).

thf(1113,plain,
    ! [SV169: $i] :
      ( ( ~ ( ~ ! [SY304: $i] :
                  ( ! [SY305: $i] :
                      ~ ( meet @ SV169 @ SY304 @ SY305 )
                  | ( incident_c @ SV169 @ SY304 ) )
            | ~ ! [SY306: $i,SY307: $i] :
                  ( ~ ( meet @ SV169 @ SY306 @ SY307 )
                  | ( incident_c @ SV169 @ SY307 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1086]) ).

thf(1114,plain,
    ! [SV204: $i,SV170: $i,SV209: $i,SV179: $i] :
      ( ( ( SV179 = SV209 )
        | ! [SY359: $i] :
            ( ~ ( end_point @ SV179 @ SY359 )
            | ~ ( part_of @ SY359 @ SV170 )
            | ~ ( end_point @ SV209 @ SY359 )
            | ~ ( inner_point @ SV204 @ SY359 ) )
        | ( between_c @ SV170 @ SV179 @ SV204 @ SV209 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1087]) ).

thf(1115,plain,
    ! [SV179: $i,SV170: $i] :
      ( ( ~ ! [SY328: $i,SY329: $i] :
              ( ~ ( between_c @ SV170 @ SV179 @ SY328 @ SY329 )
              | ( SV179 != SY329 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1088]) ).

thf(1116,plain,
    ! [SV179: $i,SV170: $i] :
      ( ( ~ ! [SY330: $i,SY331: $i] :
              ( ~ ( between_c @ SV170 @ SV179 @ SY330 @ SY331 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) @ SV170 ) )
                        | ~ ( end_point @ SY331 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) )
                  | ~ ( inner_point @ SY330 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1088]) ).

thf(1117,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
                          | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
                    | ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1089]) ).

thf(1118,plain,
    ! [SV210: $i] :
      ( ( ! [SY360: $i] :
            ( ~ ( end_point @ SV210 @ SY360 )
            | ! [SY361: $i,SY362: $i] :
                ( ~ ( part_of @ SY361 @ SY360 )
                | ~ ( part_of @ SY362 @ SY360 )
                | ~ ( incident_c @ SV210 @ SY361 )
                | ~ ( incident_c @ SV210 @ SY362 )
                | ( part_of @ SY361 @ SY362 )
                | ( part_of @ SY362 @ SY361 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1090]) ).

thf(1119,plain,
    ! [SV211: $i] :
      ( ( ! [SY363: $i] :
            ( ~ ( end_point @ SV211 @ SY363 )
            | ( incident_c @ SV211 @ SY363 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1091]) ).

thf(1120,plain,
    ! [SV192: $i,SV205: $i] :
      ( ( ( end_point @ SV205 @ SV192 )
        = $false )
      | ( ( open @ SV192 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1092]) ).

thf(1121,plain,
    ! [SV183: $i,SV180: $i,SV160: $i,SV172: $i] :
      ( ( ( ~ ( part_of @ SV172 @ SV160 ) )
        = $true )
      | ( ( ~ ( part_of @ SV180 @ SV160 ) )
        = $true )
      | ( ( ~ ( part_of @ SV183 @ SV160 ) )
        = $true )
      | ( ( ! [SY337: $i] :
              ( ~ ( end_point @ SY337 @ SV172 )
              | ~ ( end_point @ SY337 @ SV180 )
              | ~ ( end_point @ SY337 @ SV183 ) ) )
        = $true )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1094]) ).

thf(1122,plain,
    ! [SV184: $i,SV181: $i,SV162: $i,SV173: $i] :
      ( ( ( end_point @ SV173 @ SV162 )
        = $false )
      | ( ( ~ ( end_point @ SV181 @ SV162 ) )
        = $true )
      | ( ( ~ ( end_point @ SV184 @ SV162 ) )
        = $true )
      | ( ( ( SV181 = SV184 )
          | ( SV173 = SV181 )
          | ( SV173 = SV184 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1095]) ).

thf(1123,plain,
    ! [SV163: $i,SV182: $i,SV174: $i,SV212: $i] :
      ( ( ( ~ ( meet @ SV212 @ SV174 @ SV182 ) )
        = $true )
      | ( ( closed @ SV163 )
        = $false )
      | ( ( ( SV163
           != ( sum @ SV174 @ SV182 ) ) )
        = $true )
      | ( ( ! [SY336: $i] :
              ( ~ ( end_point @ SY336 @ SV174 )
              | ( meet @ SY336 @ SV174 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1096]) ).

thf(1124,plain,
    ! [SV165: $i,SV176: $i] :
      ( ( ( SV176
          = ( sK8_Q @ SV176 @ SV165 ) )
        = $false )
      | ( ( end_point @ SV176 @ SV165 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1097]) ).

thf(1125,plain,
    ! [SV194: $i,SV186: $i] :
      ( ( ( incident_c @ SV186 @ SV194 )
        = $false )
      | ( ( end_point @ SV186 @ SV194 )
        = $true )
      | ( ( inner_point @ SV186 @ SV194 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1099]) ).

thf(1126,plain,
    ! [SV213: $i,SV206: $i] :
      ( ( ~ ( inner_point @ SV206 @ SV213 )
        | ( incident_c @ SV206 @ SV213 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1100]) ).

thf(1127,plain,
    ! [SV214: $i,SV207: $i] :
      ( ( ~ ( inner_point @ SV207 @ SV214 )
        | ~ ( end_point @ SV207 @ SV214 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1101]) ).

thf(1128,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                    | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                    | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) )
          | ~ ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
              | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 )
              | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1102]) ).

thf(1129,plain,
    ! [SV202: $i,SV196: $i,SV166: $i] :
      ( ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY352: $i] :
                    ( ~ ( incident_c @ SY352 @ SV166 )
                    | ( incident_c @ SY352 @ SV196 )
                    | ( incident_c @ SY352 @ SV202 ) )
              | ~ ~ ( ~ ! [SY348: $i] :
                          ( ~ ( incident_c @ SY348 @ SV196 )
                          | ( incident_c @ SY348 @ SV166 ) )
                    | ~ ! [SY354: $i] :
                          ( ~ ( incident_c @ SY354 @ SV202 )
                          | ( incident_c @ SY354 @ SV166 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1103]) ).

thf(1130,plain,
    ! [SV187: $i,SV197: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV197 ) )
        = $false )
      | ( ( part_of @ SV197 @ SV187 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1104]) ).

thf(1131,plain,
    ! [SV187: $i,SV197: $i] :
      ( ( ( ~ ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV187 ) )
        = $false )
      | ( ( part_of @ SV197 @ SV187 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1104]) ).

thf(1132,plain,
    ! [SV188: $i,SV198: $i,SV215: $i] :
      ( ( ( ~ ( incident_c @ SV215 @ SV198 )
          | ( incident_c @ SV215 @ SV188 ) )
        = $true )
      | ( ( part_of @ SV198 @ SV188 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1105]) ).

thf(1133,plain,
    ! [SV189: $i,SV208: $i] :
      ( ( ( end_point @ SV208 @ SV189 )
        = $false )
      | ( ( closed @ SV189 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1106]) ).

thf(1134,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 ) )
        = $true )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1107]) ).

thf(1135,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
                    | ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
                  | ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1111]) ).

thf(1136,plain,
    ! [SV216: $i,SV169: $i] :
      ( ( ! [SY364: $i] :
            ( ~ ( meet @ SV169 @ SV216 @ SY364 )
            | ~ ( ~ ! [SY365: $i] :
                      ( ~ ( incident_c @ SY365 @ SV216 )
                      | ~ ( incident_c @ SY365 @ SY364 )
                      | ( end_point @ SY365 @ SV216 ) )
                | ~ ! [SY366: $i] :
                      ( ~ ( incident_c @ SY366 @ SV216 )
                      | ~ ( incident_c @ SY366 @ SY364 )
                      | ( end_point @ SY366 @ SY364 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1112]) ).

thf(1137,plain,
    ! [SV169: $i] :
      ( ( ~ ! [SY304: $i] :
              ( ! [SY305: $i] :
                  ~ ( meet @ SV169 @ SY304 @ SY305 )
              | ( incident_c @ SV169 @ SY304 ) )
        | ~ ! [SY306: $i,SY307: $i] :
              ( ~ ( meet @ SV169 @ SY306 @ SY307 )
              | ( incident_c @ SV169 @ SY307 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1113]) ).

thf(1138,plain,
    ! [SV204: $i,SV170: $i,SV209: $i,SV179: $i] :
      ( ( ( ( SV179 = SV209 )
          | ! [SY359: $i] :
              ( ~ ( end_point @ SV179 @ SY359 )
              | ~ ( part_of @ SY359 @ SV170 )
              | ~ ( end_point @ SV209 @ SY359 )
              | ~ ( inner_point @ SV204 @ SY359 ) ) )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1114]) ).

thf(1139,plain,
    ! [SV179: $i,SV170: $i] :
      ( ( ! [SY328: $i,SY329: $i] :
            ( ~ ( between_c @ SV170 @ SV179 @ SY328 @ SY329 )
            | ( SV179 != SY329 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1115]) ).

thf(1140,plain,
    ! [SV179: $i,SV170: $i] :
      ( ( ! [SY330: $i,SY331: $i] :
            ( ~ ( between_c @ SV170 @ SV179 @ SY330 @ SY331 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) @ SV170 ) )
                      | ~ ( end_point @ SY331 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) )
                | ~ ( inner_point @ SY330 @ ( sK5_Cpp @ SY331 @ SY330 @ SV179 @ SV170 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1116]) ).

thf(1141,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
                      | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
                | ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) ) )
          | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1117]) ).

thf(1142,plain,
    ! [SV217: $i,SV210: $i] :
      ( ( ~ ( end_point @ SV210 @ SV217 )
        | ! [SY367: $i,SY368: $i] :
            ( ~ ( part_of @ SY367 @ SV217 )
            | ~ ( part_of @ SY368 @ SV217 )
            | ~ ( incident_c @ SV210 @ SY367 )
            | ~ ( incident_c @ SV210 @ SY368 )
            | ( part_of @ SY367 @ SY368 )
            | ( part_of @ SY368 @ SY367 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1118]) ).

thf(1143,plain,
    ! [SV218: $i,SV211: $i] :
      ( ( ~ ( end_point @ SV211 @ SV218 )
        | ( incident_c @ SV211 @ SV218 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1119]) ).

thf(1144,plain,
    ! [SV183: $i,SV180: $i,SV160: $i,SV172: $i] :
      ( ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( ~ ( part_of @ SV180 @ SV160 ) )
        = $true )
      | ( ( ~ ( part_of @ SV183 @ SV160 ) )
        = $true )
      | ( ( ! [SY337: $i] :
              ( ~ ( end_point @ SY337 @ SV172 )
              | ~ ( end_point @ SY337 @ SV180 )
              | ~ ( end_point @ SY337 @ SV183 ) ) )
        = $true )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1121]) ).

thf(1145,plain,
    ! [SV184: $i,SV173: $i,SV162: $i,SV181: $i] :
      ( ( ( end_point @ SV181 @ SV162 )
        = $false )
      | ( ( end_point @ SV173 @ SV162 )
        = $false )
      | ( ( ~ ( end_point @ SV184 @ SV162 ) )
        = $true )
      | ( ( ( SV181 = SV184 )
          | ( SV173 = SV181 )
          | ( SV173 = SV184 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1122]) ).

thf(1146,plain,
    ! [SV163: $i,SV182: $i,SV174: $i,SV212: $i] :
      ( ( ( meet @ SV212 @ SV174 @ SV182 )
        = $false )
      | ( ( closed @ SV163 )
        = $false )
      | ( ( ( SV163
           != ( sum @ SV174 @ SV182 ) ) )
        = $true )
      | ( ( ! [SY336: $i] :
              ( ~ ( end_point @ SY336 @ SV174 )
              | ( meet @ SY336 @ SV174 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1123]) ).

thf(1147,plain,
    ! [SV213: $i,SV206: $i] :
      ( ( ( ~ ( inner_point @ SV206 @ SV213 ) )
        = $true )
      | ( ( incident_c @ SV206 @ SV213 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1126]) ).

thf(1148,plain,
    ! [SV214: $i,SV207: $i] :
      ( ( ( ~ ( inner_point @ SV207 @ SV214 ) )
        = $true )
      | ( ( ~ ( end_point @ SV207 @ SV214 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1127]) ).

thf(1149,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                    | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                    | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1128]) ).

thf(1150,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
              | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 )
              | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1128]) ).

thf(1151,plain,
    ! [SV202: $i,SV196: $i,SV166: $i] :
      ( ( ( ~ ! [SY352: $i] :
                ( ~ ( incident_c @ SY352 @ SV166 )
                | ( incident_c @ SY352 @ SV196 )
                | ( incident_c @ SY352 @ SV202 ) )
          | ~ ~ ( ~ ! [SY348: $i] :
                      ( ~ ( incident_c @ SY348 @ SV196 )
                      | ( incident_c @ SY348 @ SV166 ) )
                | ~ ! [SY354: $i] :
                      ( ~ ( incident_c @ SY354 @ SV202 )
                      | ( incident_c @ SY354 @ SV166 ) ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1129]) ).

thf(1152,plain,
    ! [SV187: $i,SV197: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV197 )
        = $true )
      | ( ( part_of @ SV197 @ SV187 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1130]) ).

thf(1153,plain,
    ! [SV187: $i,SV197: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV187 ) )
        = $true )
      | ( ( part_of @ SV197 @ SV187 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1131]) ).

thf(1154,plain,
    ! [SV188: $i,SV198: $i,SV215: $i] :
      ( ( ( ~ ( incident_c @ SV215 @ SV198 ) )
        = $true )
      | ( ( incident_c @ SV215 @ SV188 )
        = $true )
      | ( ( part_of @ SV198 @ SV188 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1132]) ).

thf(1155,plain,
    ! [SV167: $i,SV177: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV177 )
        = $false )
      | ( ( incident_c @ ( sK6_P @ SV177 @ SV167 ) @ SV167 )
        = $false )
      | ( ( SV167 = SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1134]) ).

thf(1156,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
                | ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
          | ~ ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
              | ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1135]) ).

thf(1157,plain,
    ! [SV219: $i,SV216: $i,SV169: $i] :
      ( ( ~ ( meet @ SV169 @ SV216 @ SV219 )
        | ~ ( ~ ! [SY369: $i] :
                  ( ~ ( incident_c @ SY369 @ SV216 )
                  | ~ ( incident_c @ SY369 @ SV219 )
                  | ( end_point @ SY369 @ SV216 ) )
            | ~ ! [SY370: $i] :
                  ( ~ ( incident_c @ SY370 @ SV216 )
                  | ~ ( incident_c @ SY370 @ SV219 )
                  | ( end_point @ SY370 @ SV219 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1136]) ).

thf(1158,plain,
    ! [SV169: $i] :
      ( ( ~ ! [SY304: $i] :
              ( ! [SY305: $i] :
                  ~ ( meet @ SV169 @ SY304 @ SY305 )
              | ( incident_c @ SV169 @ SY304 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1137]) ).

thf(1159,plain,
    ! [SV169: $i] :
      ( ( ~ ! [SY306: $i,SY307: $i] :
              ( ~ ( meet @ SV169 @ SY306 @ SY307 )
              | ( incident_c @ SV169 @ SY307 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1137]) ).

thf(1160,plain,
    ! [SV204: $i,SV170: $i,SV209: $i,SV179: $i] :
      ( ( ( SV179 = SV209 )
        = $true )
      | ( ( ! [SY359: $i] :
              ( ~ ( end_point @ SV179 @ SY359 )
              | ~ ( part_of @ SY359 @ SV170 )
              | ~ ( end_point @ SV209 @ SY359 )
              | ~ ( inner_point @ SV204 @ SY359 ) ) )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1138]) ).

thf(1161,plain,
    ! [SV220: $i,SV179: $i,SV170: $i] :
      ( ( ! [SY371: $i] :
            ( ~ ( between_c @ SV170 @ SV179 @ SV220 @ SY371 )
            | ( SV179 != SY371 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1139]) ).

thf(1162,plain,
    ! [SV221: $i,SV179: $i,SV170: $i] :
      ( ( ! [SY372: $i] :
            ( ~ ( between_c @ SV170 @ SV179 @ SV221 @ SY372 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SY372 @ SV221 @ SV179 @ SV170 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY372 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
                      | ~ ( end_point @ SY372 @ ( sK5_Cpp @ SY372 @ SV221 @ SV179 @ SV170 ) ) )
                | ~ ( inner_point @ SV221 @ ( sK5_Cpp @ SY372 @ SV221 @ SV179 @ SV170 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1140]) ).

thf(1163,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
                      | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
                | ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1141]) ).

thf(1164,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1141]) ).

thf(1165,plain,
    ! [SV217: $i,SV210: $i] :
      ( ( ( ~ ( end_point @ SV210 @ SV217 ) )
        = $true )
      | ( ( ! [SY367: $i,SY368: $i] :
              ( ~ ( part_of @ SY367 @ SV217 )
              | ~ ( part_of @ SY368 @ SV217 )
              | ~ ( incident_c @ SV210 @ SY367 )
              | ~ ( incident_c @ SV210 @ SY368 )
              | ( part_of @ SY367 @ SY368 )
              | ( part_of @ SY368 @ SY367 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1142]) ).

thf(1166,plain,
    ! [SV218: $i,SV211: $i] :
      ( ( ( ~ ( end_point @ SV211 @ SV218 ) )
        = $true )
      | ( ( incident_c @ SV211 @ SV218 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1143]) ).

thf(1167,plain,
    ! [SV183: $i,SV172: $i,SV160: $i,SV180: $i] :
      ( ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( ~ ( part_of @ SV183 @ SV160 ) )
        = $true )
      | ( ( ! [SY337: $i] :
              ( ~ ( end_point @ SY337 @ SV172 )
              | ~ ( end_point @ SY337 @ SV180 )
              | ~ ( end_point @ SY337 @ SV183 ) ) )
        = $true )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1144]) ).

thf(1168,plain,
    ! [SV181: $i,SV173: $i,SV162: $i,SV184: $i] :
      ( ( ( end_point @ SV184 @ SV162 )
        = $false )
      | ( ( end_point @ SV173 @ SV162 )
        = $false )
      | ( ( end_point @ SV181 @ SV162 )
        = $false )
      | ( ( ( SV181 = SV184 )
          | ( SV173 = SV181 )
          | ( SV173 = SV184 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1145]) ).

thf(1169,plain,
    ! [SV212: $i,SV182: $i,SV174: $i,SV163: $i] :
      ( ( ( SV163
          = ( sum @ SV174 @ SV182 ) )
        = $false )
      | ( ( closed @ SV163 )
        = $false )
      | ( ( meet @ SV212 @ SV174 @ SV182 )
        = $false )
      | ( ( ! [SY336: $i] :
              ( ~ ( end_point @ SY336 @ SV174 )
              | ( meet @ SY336 @ SV174 @ SV182 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1146]) ).

thf(1170,plain,
    ! [SV213: $i,SV206: $i] :
      ( ( ( inner_point @ SV206 @ SV213 )
        = $false )
      | ( ( incident_c @ SV206 @ SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1147]) ).

thf(1171,plain,
    ! [SV214: $i,SV207: $i] :
      ( ( ( inner_point @ SV207 @ SV214 )
        = $false )
      | ( ( ~ ( end_point @ SV207 @ SV214 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1148]) ).

thf(1172,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                  | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
              | ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
                  | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1149]) ).

thf(1173,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
          | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 )
          | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1150]) ).

thf(1174,plain,
    ! [SV202: $i,SV196: $i,SV166: $i] :
      ( ( ( ~ ! [SY352: $i] :
                ( ~ ( incident_c @ SY352 @ SV166 )
                | ( incident_c @ SY352 @ SV196 )
                | ( incident_c @ SY352 @ SV202 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1151]) ).

thf(1175,plain,
    ! [SV202: $i,SV166: $i,SV196: $i] :
      ( ( ( ~ ~ ( ~ ! [SY348: $i] :
                      ( ~ ( incident_c @ SY348 @ SV196 )
                      | ( incident_c @ SY348 @ SV166 ) )
                | ~ ! [SY354: $i] :
                      ( ~ ( incident_c @ SY354 @ SV202 )
                      | ( incident_c @ SY354 @ SV166 ) ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1151]) ).

thf(1176,plain,
    ! [SV187: $i,SV197: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV197 @ SV187 ) @ SV187 )
        = $false )
      | ( ( part_of @ SV197 @ SV187 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1153]) ).

thf(1177,plain,
    ! [SV188: $i,SV198: $i,SV215: $i] :
      ( ( ( incident_c @ SV215 @ SV198 )
        = $false )
      | ( ( incident_c @ SV215 @ SV188 )
        = $true )
      | ( ( part_of @ SV198 @ SV188 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1154]) ).

thf(1178,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
                | ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1156]) ).

thf(1179,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
              | ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1156]) ).

thf(1180,plain,
    ! [SV219: $i,SV216: $i,SV169: $i] :
      ( ( ( ~ ( meet @ SV169 @ SV216 @ SV219 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY369: $i] :
                    ( ~ ( incident_c @ SY369 @ SV216 )
                    | ~ ( incident_c @ SY369 @ SV219 )
                    | ( end_point @ SY369 @ SV216 ) )
              | ~ ! [SY370: $i] :
                    ( ~ ( incident_c @ SY370 @ SV216 )
                    | ~ ( incident_c @ SY370 @ SV219 )
                    | ( end_point @ SY370 @ SV219 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1157]) ).

thf(1181,plain,
    ! [SV169: $i] :
      ( ( ! [SY304: $i] :
            ( ! [SY305: $i] :
                ~ ( meet @ SV169 @ SY304 @ SY305 )
            | ( incident_c @ SV169 @ SY304 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1158]) ).

thf(1182,plain,
    ! [SV169: $i] :
      ( ( ! [SY306: $i,SY307: $i] :
            ( ~ ( meet @ SV169 @ SY306 @ SY307 )
            | ( incident_c @ SV169 @ SY307 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1159]) ).

thf(1183,plain,
    ! [SV204: $i,SV209: $i,SV170: $i,SV222: $i,SV179: $i] :
      ( ( ( ~ ( end_point @ SV179 @ SV222 )
          | ~ ( part_of @ SV222 @ SV170 )
          | ~ ( end_point @ SV209 @ SV222 )
          | ~ ( inner_point @ SV204 @ SV222 ) )
        = $true )
      | ( ( SV179 = SV209 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1184,plain,
    ! [SV223: $i,SV220: $i,SV179: $i,SV170: $i] :
      ( ( ~ ( between_c @ SV170 @ SV179 @ SV220 @ SV223 )
        | ( SV179 != SV223 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1161]) ).

thf(1185,plain,
    ! [SV224: $i,SV221: $i,SV179: $i,SV170: $i] :
      ( ( ~ ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
                        | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
                  | ~ ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
            | ~ ( inner_point @ SV221 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1186,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                          | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
                    | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
              | ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1163]) ).

thf(1187,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
              | ~ ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1164]) ).

thf(1188,plain,
    ! [SV217: $i,SV210: $i] :
      ( ( ( end_point @ SV210 @ SV217 )
        = $false )
      | ( ( ! [SY367: $i,SY368: $i] :
              ( ~ ( part_of @ SY367 @ SV217 )
              | ~ ( part_of @ SY368 @ SV217 )
              | ~ ( incident_c @ SV210 @ SY367 )
              | ~ ( incident_c @ SV210 @ SY368 )
              | ( part_of @ SY367 @ SY368 )
              | ( part_of @ SY368 @ SY367 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1165]) ).

thf(1189,plain,
    ! [SV218: $i,SV211: $i] :
      ( ( ( end_point @ SV211 @ SV218 )
        = $false )
      | ( ( incident_c @ SV211 @ SV218 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1166]) ).

thf(1190,plain,
    ! [SV180: $i,SV172: $i,SV160: $i,SV183: $i] :
      ( ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( ! [SY337: $i] :
              ( ~ ( end_point @ SY337 @ SV172 )
              | ~ ( end_point @ SY337 @ SV180 )
              | ~ ( end_point @ SY337 @ SV183 ) ) )
        = $true )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1167]) ).

thf(1191,plain,
    ! [SV162: $i,SV173: $i,SV184: $i,SV181: $i] :
      ( ( ( SV181 = SV184 )
        = $true )
      | ( ( ( SV173 = SV181 )
          | ( SV173 = SV184 ) )
        = $true )
      | ( ( end_point @ SV181 @ SV162 )
        = $false )
      | ( ( end_point @ SV173 @ SV162 )
        = $false )
      | ( ( end_point @ SV184 @ SV162 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1168]) ).

thf(1192,plain,
    ! [SV163: $i,SV212: $i,SV182: $i,SV174: $i,SV225: $i] :
      ( ( ( ~ ( end_point @ SV225 @ SV174 )
          | ( meet @ SV225 @ SV174 @ SV182 ) )
        = $true )
      | ( ( meet @ SV212 @ SV174 @ SV182 )
        = $false )
      | ( ( closed @ SV163 )
        = $false )
      | ( ( SV163
          = ( sum @ SV174 @ SV182 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1169]) ).

thf(1193,plain,
    ! [SV214: $i,SV207: $i] :
      ( ( ( end_point @ SV207 @ SV214 )
        = $false )
      | ( ( inner_point @ SV207 @ SV214 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1171]) ).

thf(1194,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
              | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
          | ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
              | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1172]) ).

thf(1195,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
        = $true )
      | ( ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 )
          | ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1173]) ).

thf(1196,plain,
    ! [SV202: $i,SV196: $i,SV166: $i] :
      ( ( ( ! [SY352: $i] :
              ( ~ ( incident_c @ SY352 @ SV166 )
              | ( incident_c @ SY352 @ SV196 )
              | ( incident_c @ SY352 @ SV202 ) ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1174]) ).

thf(1197,plain,
    ! [SV202: $i,SV166: $i,SV196: $i] :
      ( ( ( ~ ( ~ ! [SY348: $i] :
                    ( ~ ( incident_c @ SY348 @ SV196 )
                    | ( incident_c @ SY348 @ SV166 ) )
              | ~ ! [SY354: $i] :
                    ( ~ ( incident_c @ SY354 @ SV202 )
                    | ( incident_c @ SY354 @ SV166 ) ) ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1175]) ).

thf(1198,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
              | ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1178]) ).

thf(1199,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
          | ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1179]) ).

thf(1200,plain,
    ! [SV219: $i,SV216: $i,SV169: $i] :
      ( ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false )
      | ( ( ~ ( ~ ! [SY369: $i] :
                    ( ~ ( incident_c @ SY369 @ SV216 )
                    | ~ ( incident_c @ SY369 @ SV219 )
                    | ( end_point @ SY369 @ SV216 ) )
              | ~ ! [SY370: $i] :
                    ( ~ ( incident_c @ SY370 @ SV216 )
                    | ~ ( incident_c @ SY370 @ SV219 )
                    | ( end_point @ SY370 @ SV219 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1180]) ).

thf(1201,plain,
    ! [SV226: $i,SV169: $i] :
      ( ( ! [SY373: $i] :
            ~ ( meet @ SV169 @ SV226 @ SY373 )
        | ( incident_c @ SV169 @ SV226 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1181]) ).

thf(1202,plain,
    ! [SV227: $i,SV169: $i] :
      ( ( ! [SY374: $i] :
            ( ~ ( meet @ SV169 @ SV227 @ SY374 )
            | ( incident_c @ SV169 @ SY374 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1182]) ).

thf(1203,plain,
    ! [SV204: $i,SV209: $i,SV170: $i,SV222: $i,SV179: $i] :
      ( ( ( ~ ( end_point @ SV179 @ SV222 )
          | ~ ( part_of @ SV222 @ SV170 )
          | ~ ( end_point @ SV209 @ SV222 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV204 @ SV222 ) )
        = $true )
      | ( ( SV179 = SV209 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1183]) ).

thf(1204,plain,
    ! [SV223: $i,SV220: $i,SV179: $i,SV170: $i] :
      ( ( ( ~ ( between_c @ SV170 @ SV179 @ SV220 @ SV223 ) )
        = $true )
      | ( ( ( SV179 != SV223 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1184]) ).

thf(1205,plain,
    ! [SV224: $i,SV221: $i,SV179: $i,SV170: $i] :
      ( ( ( ~ ( between_c @ SV170 @ SV179 @ SV221 @ SV224 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
                    | ~ ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
              | ~ ( inner_point @ SV221 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1185]) ).

thf(1206,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
                | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
          | ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1186]) ).

thf(1207,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
          | ~ ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1187]) ).

thf(1208,plain,
    ! [SV210: $i,SV217: $i,SV228: $i] :
      ( ( ( ! [SY375: $i] :
              ( ~ ( part_of @ SV228 @ SV217 )
              | ~ ( part_of @ SY375 @ SV217 )
              | ~ ( incident_c @ SV210 @ SV228 )
              | ~ ( incident_c @ SV210 @ SY375 )
              | ( part_of @ SV228 @ SY375 )
              | ( part_of @ SY375 @ SV228 ) ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1188]) ).

thf(1209,plain,
    ! [SV160: $i,SV183: $i,SV180: $i,SV172: $i,SV229: $i] :
      ( ( ( ~ ( end_point @ SV229 @ SV172 )
          | ~ ( end_point @ SV229 @ SV180 )
          | ~ ( end_point @ SV229 @ SV183 ) )
        = $true )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1190]) ).

thf(1210,plain,
    ! [SV162: $i,SV184: $i,SV181: $i,SV173: $i] :
      ( ( ( SV173 = SV181 )
        = $true )
      | ( ( SV173 = SV184 )
        = $true )
      | ( ( SV181 = SV184 )
        = $true )
      | ( ( end_point @ SV181 @ SV162 )
        = $false )
      | ( ( end_point @ SV173 @ SV162 )
        = $false )
      | ( ( end_point @ SV184 @ SV162 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1191]) ).

thf(1211,plain,
    ! [SV163: $i,SV212: $i,SV182: $i,SV174: $i,SV225: $i] :
      ( ( ( ~ ( end_point @ SV225 @ SV174 ) )
        = $true )
      | ( ( meet @ SV225 @ SV174 @ SV182 )
        = $true )
      | ( ( meet @ SV212 @ SV174 @ SV182 )
        = $false )
      | ( ( closed @ SV163 )
        = $false )
      | ( ( SV163
          = ( sum @ SV174 @ SV182 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1192]) ).

thf(1212,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
              | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1194]) ).

thf(1213,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
              | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1194]) ).

thf(1214,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1195]) ).

thf(1215,plain,
    ! [SV202: $i,SV196: $i,SV166: $i,SV230: $i] :
      ( ( ( ~ ( incident_c @ SV230 @ SV166 )
          | ( incident_c @ SV230 @ SV196 )
          | ( incident_c @ SV230 @ SV202 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1196]) ).

thf(1216,plain,
    ! [SV202: $i,SV166: $i,SV196: $i] :
      ( ( ( ~ ! [SY348: $i] :
                ( ~ ( incident_c @ SY348 @ SV196 )
                | ( incident_c @ SY348 @ SV166 ) )
          | ~ ! [SY354: $i] :
                ( ~ ( incident_c @ SY354 @ SV202 )
                | ( incident_c @ SY354 @ SV166 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1197]) ).

thf(1217,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
          | ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1198]) ).

thf(1218,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 ) )
        = $true )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1199]) ).

thf(1219,plain,
    ! [SV169: $i,SV219: $i,SV216: $i] :
      ( ( ( ~ ! [SY369: $i] :
                ( ~ ( incident_c @ SY369 @ SV216 )
                | ~ ( incident_c @ SY369 @ SV219 )
                | ( end_point @ SY369 @ SV216 ) )
          | ~ ! [SY370: $i] :
                ( ~ ( incident_c @ SY370 @ SV216 )
                | ~ ( incident_c @ SY370 @ SV219 )
                | ( end_point @ SY370 @ SV219 ) ) )
        = $false )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1200]) ).

thf(1220,plain,
    ! [SV226: $i,SV169: $i] :
      ( ( ( ! [SY373: $i] :
              ~ ( meet @ SV169 @ SV226 @ SY373 ) )
        = $true )
      | ( ( incident_c @ SV169 @ SV226 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1201]) ).

thf(1221,plain,
    ! [SV231: $i,SV227: $i,SV169: $i] :
      ( ( ~ ( meet @ SV169 @ SV227 @ SV231 )
        | ( incident_c @ SV169 @ SV231 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1202]) ).

thf(1222,plain,
    ! [SV204: $i,SV209: $i,SV170: $i,SV222: $i,SV179: $i] :
      ( ( ( ~ ( end_point @ SV179 @ SV222 )
          | ~ ( part_of @ SV222 @ SV170 ) )
        = $true )
      | ( ( ~ ( end_point @ SV209 @ SV222 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV204 @ SV222 ) )
        = $true )
      | ( ( SV179 = SV209 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1203]) ).

thf(1223,plain,
    ! [SV223: $i,SV220: $i,SV179: $i,SV170: $i] :
      ( ( ( between_c @ SV170 @ SV179 @ SV220 @ SV223 )
        = $false )
      | ( ( ( SV179 != SV223 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1204]) ).

thf(1224,plain,
    ! [SV224: $i,SV221: $i,SV179: $i,SV170: $i] :
      ( ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
                    | ~ ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
              | ~ ( inner_point @ SV221 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1205]) ).

thf(1225,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
                | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1206]) ).

thf(1226,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( ~ ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1206]) ).

thf(1227,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1207]) ).

thf(1228,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1207]) ).

thf(1229,plain,
    ! [SV210: $i,SV232: $i,SV217: $i,SV228: $i] :
      ( ( ( ~ ( part_of @ SV228 @ SV217 )
          | ~ ( part_of @ SV232 @ SV217 )
          | ~ ( incident_c @ SV210 @ SV228 )
          | ~ ( incident_c @ SV210 @ SV232 )
          | ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1208]) ).

thf(1230,plain,
    ! [SV160: $i,SV183: $i,SV180: $i,SV172: $i,SV229: $i] :
      ( ( ( ~ ( end_point @ SV229 @ SV172 )
          | ~ ( end_point @ SV229 @ SV180 ) )
        = $true )
      | ( ( ~ ( end_point @ SV229 @ SV183 ) )
        = $true )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1209]) ).

thf(1231,plain,
    ! [SV163: $i,SV212: $i,SV182: $i,SV174: $i,SV225: $i] :
      ( ( ( end_point @ SV225 @ SV174 )
        = $false )
      | ( ( meet @ SV225 @ SV174 @ SV182 )
        = $true )
      | ( ( meet @ SV212 @ SV174 @ SV182 )
        = $false )
      | ( ( closed @ SV163 )
        = $false )
      | ( ( SV163
          = ( sum @ SV174 @ SV182 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1211]) ).

thf(1232,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
          | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1212]) ).

thf(1233,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
          | ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1213]) ).

thf(1234,plain,
    ! [SV202: $i,SV196: $i,SV166: $i,SV230: $i] :
      ( ( ( ~ ( incident_c @ SV230 @ SV166 ) )
        = $true )
      | ( ( ( incident_c @ SV230 @ SV196 )
          | ( incident_c @ SV230 @ SV202 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1215]) ).

thf(1235,plain,
    ! [SV202: $i,SV166: $i,SV196: $i] :
      ( ( ( ~ ! [SY348: $i] :
                ( ~ ( incident_c @ SY348 @ SV196 )
                | ( incident_c @ SY348 @ SV166 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1216]) ).

thf(1236,plain,
    ! [SV196: $i,SV166: $i,SV202: $i] :
      ( ( ( ~ ! [SY354: $i] :
                ( ~ ( incident_c @ SY354 @ SV202 )
                | ( incident_c @ SY354 @ SV166 ) ) )
        = $false )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1216]) ).

thf(1237,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1217]) ).

thf(1238,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1217]) ).

thf(1239,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $false )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1218]) ).

thf(1240,plain,
    ! [SV169: $i,SV219: $i,SV216: $i] :
      ( ( ( ~ ! [SY369: $i] :
                ( ~ ( incident_c @ SY369 @ SV216 )
                | ~ ( incident_c @ SY369 @ SV219 )
                | ( end_point @ SY369 @ SV216 ) ) )
        = $false )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1219]) ).

thf(1241,plain,
    ! [SV169: $i,SV219: $i,SV216: $i] :
      ( ( ( ~ ! [SY370: $i] :
                ( ~ ( incident_c @ SY370 @ SV216 )
                | ~ ( incident_c @ SY370 @ SV219 )
                | ( end_point @ SY370 @ SV219 ) ) )
        = $false )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1219]) ).

thf(1242,plain,
    ! [SV233: $i,SV226: $i,SV169: $i] :
      ( ( ( ~ ( meet @ SV169 @ SV226 @ SV233 ) )
        = $true )
      | ( ( incident_c @ SV169 @ SV226 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1220]) ).

thf(1243,plain,
    ! [SV231: $i,SV227: $i,SV169: $i] :
      ( ( ( ~ ( meet @ SV169 @ SV227 @ SV231 ) )
        = $true )
      | ( ( incident_c @ SV169 @ SV231 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1221]) ).

thf(1244,plain,
    ! [SV204: $i,SV209: $i,SV170: $i,SV222: $i,SV179: $i] :
      ( ( ( ~ ( end_point @ SV179 @ SV222 ) )
        = $true )
      | ( ( ~ ( part_of @ SV222 @ SV170 ) )
        = $true )
      | ( ( ~ ( end_point @ SV209 @ SV222 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV204 @ SV222 ) )
        = $true )
      | ( ( SV179 = SV209 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1222]) ).

thf(1245,plain,
    ! [SV220: $i,SV170: $i,SV223: $i,SV179: $i] :
      ( ( ( SV179 = SV223 )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV220 @ SV223 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1223]) ).

thf(1246,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
                | ~ ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
          | ~ ( inner_point @ SV221 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1224]) ).

thf(1247,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                    | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
              | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1225]) ).

thf(1248,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1226]) ).

thf(1249,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1227]) ).

thf(1250,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1228]) ).

thf(1251,plain,
    ! [SV210: $i,SV232: $i,SV217: $i,SV228: $i] :
      ( ( ( ~ ( part_of @ SV228 @ SV217 )
          | ~ ( part_of @ SV232 @ SV217 )
          | ~ ( incident_c @ SV210 @ SV228 )
          | ~ ( incident_c @ SV210 @ SV232 ) )
        = $true )
      | ( ( ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1229]) ).

thf(1252,plain,
    ! [SV160: $i,SV183: $i,SV180: $i,SV172: $i,SV229: $i] :
      ( ( ( ~ ( end_point @ SV229 @ SV172 ) )
        = $true )
      | ( ( ~ ( end_point @ SV229 @ SV180 ) )
        = $true )
      | ( ( ~ ( end_point @ SV229 @ SV183 ) )
        = $true )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1230]) ).

thf(1253,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1232]) ).

thf(1254,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1233]) ).

thf(1255,plain,
    ! [SV202: $i,SV196: $i,SV166: $i,SV230: $i] :
      ( ( ( incident_c @ SV230 @ SV166 )
        = $false )
      | ( ( ( incident_c @ SV230 @ SV196 )
          | ( incident_c @ SV230 @ SV202 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1234]) ).

thf(1256,plain,
    ! [SV202: $i,SV166: $i,SV196: $i] :
      ( ( ( ! [SY348: $i] :
              ( ~ ( incident_c @ SY348 @ SV196 )
              | ( incident_c @ SY348 @ SV166 ) ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1235]) ).

thf(1257,plain,
    ! [SV196: $i,SV166: $i,SV202: $i] :
      ( ( ( ! [SY354: $i] :
              ( ~ ( incident_c @ SY354 @ SV202 )
              | ( incident_c @ SY354 @ SV166 ) ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1236]) ).

thf(1258,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1237]) ).

thf(1259,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1238]) ).

thf(1260,plain,
    ! [SV169: $i,SV199: $i,SV203: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV199 )
          | ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1239]) ).

thf(1261,plain,
    ! [SV169: $i,SV219: $i,SV216: $i] :
      ( ( ( ! [SY369: $i] :
              ( ~ ( incident_c @ SY369 @ SV216 )
              | ~ ( incident_c @ SY369 @ SV219 )
              | ( end_point @ SY369 @ SV216 ) ) )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1240]) ).

thf(1262,plain,
    ! [SV169: $i,SV219: $i,SV216: $i] :
      ( ( ( ! [SY370: $i] :
              ( ~ ( incident_c @ SY370 @ SV216 )
              | ~ ( incident_c @ SY370 @ SV219 )
              | ( end_point @ SY370 @ SV219 ) ) )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1241]) ).

thf(1263,plain,
    ! [SV233: $i,SV226: $i,SV169: $i] :
      ( ( ( meet @ SV169 @ SV226 @ SV233 )
        = $false )
      | ( ( incident_c @ SV169 @ SV226 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1242]) ).

thf(1264,plain,
    ! [SV231: $i,SV227: $i,SV169: $i] :
      ( ( ( meet @ SV169 @ SV227 @ SV231 )
        = $false )
      | ( ( incident_c @ SV169 @ SV231 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1243]) ).

thf(1265,plain,
    ! [SV204: $i,SV209: $i,SV170: $i,SV222: $i,SV179: $i] :
      ( ( ( end_point @ SV179 @ SV222 )
        = $false )
      | ( ( ~ ( part_of @ SV222 @ SV170 ) )
        = $true )
      | ( ( ~ ( end_point @ SV209 @ SV222 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV204 @ SV222 ) )
        = $true )
      | ( ( SV179 = SV209 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1244]) ).

thf(1266,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
                | ~ ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1246]) ).

thf(1267,plain,
    ! [SV170: $i,SV179: $i,SV224: $i,SV221: $i] :
      ( ( ( ~ ( inner_point @ SV221 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1246]) ).

thf(1268,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
          | ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1247]) ).

thf(1269,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ SV200 )
        = $false )
      | ( ( incident_c @ SV191 @ ( sK16_SY69 @ SV200 @ SV191 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1248]) ).

thf(1270,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1249]) ).

thf(1271,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1250]) ).

thf(1272,plain,
    ! [SV210: $i,SV232: $i,SV217: $i,SV228: $i] :
      ( ( ( ~ ( part_of @ SV228 @ SV217 )
          | ~ ( part_of @ SV232 @ SV217 )
          | ~ ( incident_c @ SV210 @ SV228 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV210 @ SV232 ) )
        = $true )
      | ( ( ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1251]) ).

thf(1273,plain,
    ! [SV160: $i,SV183: $i,SV180: $i,SV172: $i,SV229: $i] :
      ( ( ( end_point @ SV229 @ SV172 )
        = $false )
      | ( ( ~ ( end_point @ SV229 @ SV180 ) )
        = $true )
      | ( ( ~ ( end_point @ SV229 @ SV183 ) )
        = $true )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1252]) ).

thf(1274,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1253]) ).

thf(1275,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1254]) ).

thf(1276,plain,
    ! [SV166: $i,SV202: $i,SV196: $i,SV230: $i] :
      ( ( ( incident_c @ SV230 @ SV196 )
        = $true )
      | ( ( incident_c @ SV230 @ SV202 )
        = $true )
      | ( ( incident_c @ SV230 @ SV166 )
        = $false )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1255]) ).

thf(1277,plain,
    ! [SV202: $i,SV166: $i,SV196: $i,SV234: $i] :
      ( ( ( ~ ( incident_c @ SV234 @ SV196 )
          | ( incident_c @ SV234 @ SV166 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1256]) ).

thf(1278,plain,
    ! [SV196: $i,SV166: $i,SV202: $i,SV235: $i] :
      ( ( ( ~ ( incident_c @ SV235 @ SV202 )
          | ( incident_c @ SV235 @ SV166 ) )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1257]) ).

thf(1279,plain,
    ! [SV203: $i,SV199: $i,SV169: $i] :
      ( ( ( ~ ( incident_c @ SV169 @ SV199 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1258]) ).

thf(1280,plain,
    ! [SV203: $i,SV199: $i,SV169: $i] :
      ( ( ( ~ ( incident_c @ SV169 @ SV199 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1259]) ).

thf(1281,plain,
    ! [SV203: $i,SV199: $i,SV169: $i] :
      ( ( ( ~ ( incident_c @ SV169 @ SV199 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 )
        = $false )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1260]) ).

thf(1282,plain,
    ! [SV169: $i,SV219: $i,SV216: $i,SV236: $i] :
      ( ( ( ~ ( incident_c @ SV236 @ SV216 )
          | ~ ( incident_c @ SV236 @ SV219 )
          | ( end_point @ SV236 @ SV216 ) )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1261]) ).

thf(1283,plain,
    ! [SV169: $i,SV219: $i,SV216: $i,SV237: $i] :
      ( ( ( ~ ( incident_c @ SV237 @ SV216 )
          | ~ ( incident_c @ SV237 @ SV219 )
          | ( end_point @ SV237 @ SV219 ) )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1262]) ).

thf(1284,plain,
    ! [SV204: $i,SV209: $i,SV179: $i,SV170: $i,SV222: $i] :
      ( ( ( part_of @ SV222 @ SV170 )
        = $false )
      | ( ( end_point @ SV179 @ SV222 )
        = $false )
      | ( ( ~ ( end_point @ SV209 @ SV222 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV204 @ SV222 ) )
        = $true )
      | ( ( SV179 = SV209 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1265]) ).

thf(1285,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
                    | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
              | ~ ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) ) )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1266]) ).

thf(1286,plain,
    ! [SV170: $i,SV179: $i,SV224: $i,SV221: $i] :
      ( ( ( inner_point @ SV221 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1267]) ).

thf(1287,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
                | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1268]) ).

thf(1288,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( ~ ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1268]) ).

thf(1289,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ SV200 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ ( sK16_SY69 @ SV200 @ SV191 ) )
        = $false )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1270]) ).

thf(1290,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ SV200 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ ( sK15_C1 @ SV200 @ SV191 ) )
        = $false )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1271]) ).

thf(1291,plain,
    ! [SV210: $i,SV232: $i,SV217: $i,SV228: $i] :
      ( ( ( ~ ( part_of @ SV228 @ SV217 )
          | ~ ( part_of @ SV232 @ SV217 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV210 @ SV228 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV210 @ SV232 ) )
        = $true )
      | ( ( ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1272]) ).

thf(1292,plain,
    ! [SV160: $i,SV183: $i,SV172: $i,SV180: $i,SV229: $i] :
      ( ( ( end_point @ SV229 @ SV180 )
        = $false )
      | ( ( end_point @ SV229 @ SV172 )
        = $false )
      | ( ( ~ ( end_point @ SV229 @ SV183 ) )
        = $true )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1273]) ).

thf(1293,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV195 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
        = $false )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1274]) ).

thf(1294,plain,
    ! [SV166: $i,SV195: $i,SV201: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV201 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV201 @ SV195 @ SV166 ) @ SV166 )
        = $false )
      | ( ( SV166
          = ( sum @ SV195 @ SV201 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1275]) ).

thf(1295,plain,
    ! [SV202: $i,SV166: $i,SV196: $i,SV234: $i] :
      ( ( ( ~ ( incident_c @ SV234 @ SV196 ) )
        = $true )
      | ( ( incident_c @ SV234 @ SV166 )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1277]) ).

thf(1296,plain,
    ! [SV196: $i,SV166: $i,SV202: $i,SV235: $i] :
      ( ( ( ~ ( incident_c @ SV235 @ SV202 ) )
        = $true )
      | ( ( incident_c @ SV235 @ SV166 )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1278]) ).

thf(1297,plain,
    ! [SV203: $i,SV199: $i,SV169: $i] :
      ( ( ( incident_c @ SV169 @ SV199 )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1279]) ).

thf(1298,plain,
    ! [SV203: $i,SV199: $i,SV169: $i] :
      ( ( ( incident_c @ SV169 @ SV199 )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1280]) ).

thf(1299,plain,
    ! [SV203: $i,SV199: $i,SV169: $i] :
      ( ( ( incident_c @ SV169 @ SV199 )
        = $false )
      | ( ( ~ ( incident_c @ SV169 @ SV203 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 )
        = $false )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1281]) ).

thf(1300,plain,
    ! [SV169: $i,SV219: $i,SV216: $i,SV236: $i] :
      ( ( ( ~ ( incident_c @ SV236 @ SV216 )
          | ~ ( incident_c @ SV236 @ SV219 ) )
        = $true )
      | ( ( end_point @ SV236 @ SV216 )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1282]) ).

thf(1301,plain,
    ! [SV169: $i,SV219: $i,SV216: $i,SV237: $i] :
      ( ( ( ~ ( incident_c @ SV237 @ SV216 )
          | ~ ( incident_c @ SV237 @ SV219 ) )
        = $true )
      | ( ( end_point @ SV237 @ SV219 )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1283]) ).

thf(1302,plain,
    ! [SV204: $i,SV170: $i,SV179: $i,SV222: $i,SV209: $i] :
      ( ( ( end_point @ SV209 @ SV222 )
        = $false )
      | ( ( end_point @ SV179 @ SV222 )
        = $false )
      | ( ( part_of @ SV222 @ SV170 )
        = $false )
      | ( ( ~ ( inner_point @ SV204 @ SV222 ) )
        = $true )
      | ( ( SV179 = SV209 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1284]) ).

thf(1303,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
          | ~ ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1285]) ).

thf(1304,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
              | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1287]) ).

thf(1305,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1288]) ).

thf(1306,plain,
    ! [SV210: $i,SV232: $i,SV217: $i,SV228: $i] :
      ( ( ( ~ ( part_of @ SV228 @ SV217 ) )
        = $true )
      | ( ( ~ ( part_of @ SV232 @ SV217 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV210 @ SV228 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV210 @ SV232 ) )
        = $true )
      | ( ( ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1291]) ).

thf(1307,plain,
    ! [SV160: $i,SV180: $i,SV172: $i,SV183: $i,SV229: $i] :
      ( ( ( end_point @ SV229 @ SV183 )
        = $false )
      | ( ( end_point @ SV229 @ SV172 )
        = $false )
      | ( ( end_point @ SV229 @ SV180 )
        = $false )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( ( part_of @ SV183 @ SV172 )
          | ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1292]) ).

thf(1308,plain,
    ! [SV202: $i,SV166: $i,SV196: $i,SV234: $i] :
      ( ( ( incident_c @ SV234 @ SV196 )
        = $false )
      | ( ( incident_c @ SV234 @ SV166 )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1295]) ).

thf(1309,plain,
    ! [SV196: $i,SV166: $i,SV202: $i,SV235: $i] :
      ( ( ( incident_c @ SV235 @ SV202 )
        = $false )
      | ( ( incident_c @ SV235 @ SV166 )
        = $true )
      | ( ( SV166
          = ( sum @ SV196 @ SV202 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1296]) ).

thf(1310,plain,
    ! [SV199: $i,SV203: $i,SV169: $i] :
      ( ( ( incident_c @ SV169 @ SV203 )
        = $false )
      | ( ( incident_c @ SV169 @ SV199 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1297]) ).

thf(1311,plain,
    ! [SV199: $i,SV203: $i,SV169: $i] :
      ( ( ( incident_c @ SV169 @ SV203 )
        = $false )
      | ( ( incident_c @ SV169 @ SV199 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 )
        = $true )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1298]) ).

thf(1312,plain,
    ! [SV199: $i,SV203: $i,SV169: $i] :
      ( ( ( incident_c @ SV169 @ SV203 )
        = $false )
      | ( ( incident_c @ SV169 @ SV199 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV199 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV203 @ SV199 @ SV169 ) @ SV203 )
        = $false )
      | ( ( meet @ SV169 @ SV199 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1299]) ).

thf(1313,plain,
    ! [SV169: $i,SV219: $i,SV216: $i,SV236: $i] :
      ( ( ( ~ ( incident_c @ SV236 @ SV216 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV236 @ SV219 ) )
        = $true )
      | ( ( end_point @ SV236 @ SV216 )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1300]) ).

thf(1314,plain,
    ! [SV169: $i,SV219: $i,SV216: $i,SV237: $i] :
      ( ( ( ~ ( incident_c @ SV237 @ SV216 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV237 @ SV219 ) )
        = $true )
      | ( ( end_point @ SV237 @ SV219 )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1301]) ).

thf(1315,plain,
    ! [SV209: $i,SV179: $i,SV170: $i,SV222: $i,SV204: $i] :
      ( ( ( inner_point @ SV204 @ SV222 )
        = $false )
      | ( ( part_of @ SV222 @ SV170 )
        = $false )
      | ( ( end_point @ SV179 @ SV222 )
        = $false )
      | ( ( end_point @ SV209 @ SV222 )
        = $false )
      | ( ( SV179 = SV209 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV204 @ SV209 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1302]) ).

thf(1316,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1303]) ).

thf(1317,plain,
    ! [SV170: $i,SV179: $i,SV221: $i,SV224: $i] :
      ( ( ( ~ ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1303]) ).

thf(1318,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
          | ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1304]) ).

thf(1319,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ SV200 )
        = $false )
      | ( ( incident_c @ SV191 @ ( sK15_C1 @ SV200 @ SV191 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1305]) ).

thf(1320,plain,
    ! [SV210: $i,SV232: $i,SV217: $i,SV228: $i] :
      ( ( ( part_of @ SV228 @ SV217 )
        = $false )
      | ( ( ~ ( part_of @ SV232 @ SV217 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV210 @ SV228 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV210 @ SV232 ) )
        = $true )
      | ( ( ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1306]) ).

thf(1321,plain,
    ! [SV229: $i,SV160: $i,SV180: $i,SV172: $i,SV183: $i] :
      ( ( ( part_of @ SV183 @ SV172 )
        = $true )
      | ( ( ( part_of @ SV172 @ SV183 )
          | ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( end_point @ SV229 @ SV180 )
        = $false )
      | ( ( end_point @ SV229 @ SV172 )
        = $false )
      | ( ( end_point @ SV229 @ SV183 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1307]) ).

thf(1322,plain,
    ! [SV169: $i,SV219: $i,SV216: $i,SV236: $i] :
      ( ( ( incident_c @ SV236 @ SV216 )
        = $false )
      | ( ( ~ ( incident_c @ SV236 @ SV219 ) )
        = $true )
      | ( ( end_point @ SV236 @ SV216 )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1313]) ).

thf(1323,plain,
    ! [SV169: $i,SV219: $i,SV216: $i,SV237: $i] :
      ( ( ( incident_c @ SV237 @ SV216 )
        = $false )
      | ( ( ~ ( incident_c @ SV237 @ SV219 ) )
        = $true )
      | ( ( end_point @ SV237 @ SV219 )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1314]) ).

thf(1324,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( ~ ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
              | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) ) )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1316]) ).

thf(1325,plain,
    ! [SV170: $i,SV179: $i,SV221: $i,SV224: $i] :
      ( ( ( end_point @ SV224 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1317]) ).

thf(1326,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1318]) ).

thf(1327,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1318]) ).

thf(1328,plain,
    ! [SV210: $i,SV228: $i,SV217: $i,SV232: $i] :
      ( ( ( part_of @ SV232 @ SV217 )
        = $false )
      | ( ( part_of @ SV228 @ SV217 )
        = $false )
      | ( ( ~ ( incident_c @ SV210 @ SV228 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV210 @ SV232 ) )
        = $true )
      | ( ( ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1320]) ).

thf(1329,plain,
    ! [SV229: $i,SV160: $i,SV180: $i,SV183: $i,SV172: $i] :
      ( ( ( part_of @ SV172 @ SV183 )
        = $true )
      | ( ( ( part_of @ SV180 @ SV172 )
          | ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true )
      | ( ( part_of @ SV183 @ SV172 )
        = $true )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( end_point @ SV229 @ SV180 )
        = $false )
      | ( ( end_point @ SV229 @ SV172 )
        = $false )
      | ( ( end_point @ SV229 @ SV183 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1321]) ).

thf(1330,plain,
    ! [SV169: $i,SV216: $i,SV219: $i,SV236: $i] :
      ( ( ( incident_c @ SV236 @ SV219 )
        = $false )
      | ( ( incident_c @ SV236 @ SV216 )
        = $false )
      | ( ( end_point @ SV236 @ SV216 )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1322]) ).

thf(1331,plain,
    ! [SV169: $i,SV216: $i,SV219: $i,SV237: $i] :
      ( ( ( incident_c @ SV237 @ SV219 )
        = $false )
      | ( ( incident_c @ SV237 @ SV216 )
        = $false )
      | ( ( end_point @ SV237 @ SV219 )
        = $true )
      | ( ( meet @ SV169 @ SV216 @ SV219 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1323]) ).

thf(1332,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
          | ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1324]) ).

thf(1333,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1326]) ).

thf(1334,plain,
    ! [SV191: $i,SV200: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 )
        = $true )
      | ( ( ~ ( incident_c @ SV191 @ SV200 ) )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1327]) ).

thf(1335,plain,
    ! [SV232: $i,SV217: $i,SV228: $i,SV210: $i] :
      ( ( ( incident_c @ SV210 @ SV228 )
        = $false )
      | ( ( part_of @ SV228 @ SV217 )
        = $false )
      | ( ( part_of @ SV232 @ SV217 )
        = $false )
      | ( ( ~ ( incident_c @ SV210 @ SV232 ) )
        = $true )
      | ( ( ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1328]) ).

thf(1336,plain,
    ! [SV229: $i,SV160: $i,SV183: $i,SV172: $i,SV180: $i] :
      ( ( ( part_of @ SV180 @ SV172 )
        = $true )
      | ( ( ( part_of @ SV172 @ SV180 )
          | ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true )
      | ( ( part_of @ SV172 @ SV183 )
        = $true )
      | ( ( part_of @ SV183 @ SV172 )
        = $true )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( end_point @ SV229 @ SV180 )
        = $false )
      | ( ( end_point @ SV229 @ SV172 )
        = $false )
      | ( ( end_point @ SV229 @ SV183 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1329]) ).

thf(1337,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( ~ ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1332]) ).

thf(1338,plain,
    ! [SV170: $i,SV179: $i,SV221: $i,SV224: $i] :
      ( ( ( ~ ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 ) )
        = $false )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1332]) ).

thf(1339,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ SV200 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV200 @ SV191 ) @ SV200 )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1333]) ).

thf(1340,plain,
    ! [SV200: $i,SV191: $i] :
      ( ( ( incident_c @ SV191 @ SV200 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV200 @ SV191 ) @ SV200 )
        = $true )
      | ( ( end_point @ SV191 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1334]) ).

thf(1341,plain,
    ! [SV228: $i,SV217: $i,SV232: $i,SV210: $i] :
      ( ( ( incident_c @ SV210 @ SV232 )
        = $false )
      | ( ( part_of @ SV232 @ SV217 )
        = $false )
      | ( ( part_of @ SV228 @ SV217 )
        = $false )
      | ( ( incident_c @ SV210 @ SV228 )
        = $false )
      | ( ( ( part_of @ SV228 @ SV232 )
          | ( part_of @ SV232 @ SV228 ) )
        = $true )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1335]) ).

thf(1342,plain,
    ! [SV229: $i,SV160: $i,SV183: $i,SV180: $i,SV172: $i] :
      ( ( ( part_of @ SV172 @ SV180 )
        = $true )
      | ( ( ( part_of @ SV180 @ SV183 )
          | ( part_of @ SV183 @ SV180 ) )
        = $true )
      | ( ( part_of @ SV180 @ SV172 )
        = $true )
      | ( ( part_of @ SV172 @ SV183 )
        = $true )
      | ( ( part_of @ SV183 @ SV172 )
        = $true )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( end_point @ SV229 @ SV180 )
        = $false )
      | ( ( end_point @ SV229 @ SV172 )
        = $false )
      | ( ( end_point @ SV229 @ SV183 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1336]) ).

thf(1343,plain,
    ! [SV170: $i,SV221: $i,SV224: $i,SV179: $i] :
      ( ( ( end_point @ SV179 @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1337]) ).

thf(1344,plain,
    ! [SV170: $i,SV179: $i,SV221: $i,SV224: $i] :
      ( ( ( part_of @ ( sK5_Cpp @ SV224 @ SV221 @ SV179 @ SV170 ) @ SV170 )
        = $true )
      | ( ( between_c @ SV170 @ SV179 @ SV221 @ SV224 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1338]) ).

thf(1345,plain,
    ! [SV217: $i,SV210: $i,SV232: $i,SV228: $i] :
      ( ( ( part_of @ SV228 @ SV232 )
        = $true )
      | ( ( part_of @ SV232 @ SV228 )
        = $true )
      | ( ( incident_c @ SV210 @ SV228 )
        = $false )
      | ( ( part_of @ SV228 @ SV217 )
        = $false )
      | ( ( part_of @ SV232 @ SV217 )
        = $false )
      | ( ( incident_c @ SV210 @ SV232 )
        = $false )
      | ( ( end_point @ SV210 @ SV217 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1341]) ).

thf(1346,plain,
    ! [SV229: $i,SV160: $i,SV172: $i,SV183: $i,SV180: $i] :
      ( ( ( part_of @ SV180 @ SV183 )
        = $true )
      | ( ( part_of @ SV183 @ SV180 )
        = $true )
      | ( ( part_of @ SV172 @ SV180 )
        = $true )
      | ( ( part_of @ SV180 @ SV172 )
        = $true )
      | ( ( part_of @ SV172 @ SV183 )
        = $true )
      | ( ( part_of @ SV183 @ SV172 )
        = $true )
      | ( ( part_of @ SV183 @ SV160 )
        = $false )
      | ( ( part_of @ SV172 @ SV160 )
        = $false )
      | ( ( part_of @ SV180 @ SV160 )
        = $false )
      | ( ( end_point @ SV229 @ SV180 )
        = $false )
      | ( ( end_point @ SV229 @ SV172 )
        = $false )
      | ( ( end_point @ SV229 @ SV183 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1342]) ).

thf(1347,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[941,1346,1345,1344,1343,1340,1339,1331,1330,1325,1319,1315,1312,1311,1310,1309,1308,1294,1293,1290,1289,1286,1276,1269,1264,1263,1245,1231,1214,1210,1193,1189,1177,1176,1170,1155,1152,1133,1125,1124,1120,1110,1109,1108,1098,1093,1054,1044,1040,960,956]) ).

thf(1348,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK18_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK18_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)],[75]) ).

thf(1349,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK17_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)],[74]) ).

thf(1350,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK15_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK16_SY69 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK15_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK15_C1 @ C @ P ) @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK16_SY69 @ C @ P ) @ ( sK15_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)],[73]) ).

thf(1351,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)],[72]) ).

thf(1352,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK14_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK14_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)],[71]) ).

thf(1353,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK13_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(1354,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK12_P @ C ) @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(1355,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(1356,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)],[67]) ).

thf(1357,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK11_P @ C ) @ C ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(1358,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) )
            & ( meet @ P @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(1359,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)],[64]) ).

thf(1360,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK8_Q @ P @ C ) )
            & ( end_point @ ( sK8_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(1361,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)],[62]) ).

thf(1362,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK7_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(1363,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(1364,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 @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK5_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK5_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(1365,plain,
    ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ sK4_SY67 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(1366,plain,
    ( ( sK2_SY62 = sK3_SY65 )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(1367,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( closed @ SX0 )
                | ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
                | ( closed @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1353]) ).

thf(1368,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)],[1351]) ).

thf(1369,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX1 @ SX0 )
          | ~ ( ~ ( ( SX1
                   != ( sK8_Q @ SX1 @ SX0 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1360]) ).

thf(1370,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                            | ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ~ ( end_point @ ( sK14_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)],[1352]) ).

thf(1371,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 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
                                  | ~ ( end_point @ SX3 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ( inner_point @ SX2 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1364]) ).

thf(1372,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX1 @ SX0 )
          | ~ ( ( SX0
               != ( sum @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) )
              | ~ ( meet @ SX1 @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1358]) ).

thf(1373,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                          | ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ( incident_c @ ( sK17_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)],[1349]) ).

thf(1374,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                    | ~ ~ ( incident_c @ ( sK18_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)],[1348]) ).

thf(1375,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 )
                | ( open @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( open @ SX0 )
                | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1354]) ).

thf(1376,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1363]) ).

thf(1377,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                                | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                          | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                          | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[1350]) ).

thf(1378,plain,
    ! [SV238: $i] :
      ( ( ! [SY376: $i] :
            ( ( SY376 = SV238 )
            | ~ ( part_of @ SY376 @ SV238 )
            | ( open @ SY376 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1355]) ).

thf(1379,plain,
    ! [SV239: $i] :
      ( ( ! [SY377: $i,SY378: $i,SY379: $i] :
            ( ~ ( part_of @ SY377 @ SV239 )
            | ~ ( part_of @ SY378 @ SV239 )
            | ~ ( part_of @ SY379 @ SV239 )
            | ! [P: $i] :
                ( ~ ( end_point @ P @ SY377 )
                | ~ ( end_point @ P @ SY378 )
                | ~ ( end_point @ P @ SY379 ) )
            | ( part_of @ SY379 @ SY377 )
            | ( part_of @ SY377 @ SY379 )
            | ( part_of @ SY378 @ SY377 )
            | ( part_of @ SY377 @ SY378 )
            | ( part_of @ SY378 @ SY379 )
            | ( part_of @ SY379 @ SY378 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1356]) ).

thf(1380,plain,
    ! [SV240: $i] :
      ( ( inner_point @ ( sK11_P @ SV240 ) @ SV240 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1357]) ).

thf(1381,plain,
    ! [SV241: $i] :
      ( ( ! [SY381: $i,SY382: $i,SY383: $i] :
            ( ~ ( end_point @ SY381 @ SV241 )
            | ~ ( end_point @ SY382 @ SV241 )
            | ~ ( end_point @ SY383 @ SV241 )
            | ( SY382 = SY383 )
            | ( SY381 = SY382 )
            | ( SY381 = SY383 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1359]) ).

thf(1382,plain,
    ! [SV242: $i] :
      ( ( ! [SY384: $i,SY385: $i] :
            ( ~ ( closed @ SV242 )
            | ! [P: $i] :
                ~ ( meet @ P @ SY384 @ SY385 )
            | ( SV242
             != ( sum @ SY384 @ SY385 ) )
            | ! [Q: $i] :
                ( ~ ( end_point @ Q @ SY384 )
                | ( meet @ Q @ SY384 @ SY385 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1361]) ).

thf(1383,plain,
    ! [SV243: $i] :
      ( ( ! [SY388: $i] :
            ( ! [SY389: $i] :
                ~ ( meet @ SY389 @ SV243 @ SY388 )
            | ( ( sK7_C @ SY388 @ SV243 )
              = ( sum @ SV243 @ SY388 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1362]) ).

thf(1384,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1367]) ).

thf(1385,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)],[1368]) ).

thf(1386,plain,
    ! [SV244: $i] :
      ( ( ! [SY390: $i] :
            ( ~ ( end_point @ SY390 @ SV244 )
            | ~ ( ~ ( ( SY390
                     != ( sK8_Q @ SY390 @ SV244 ) ) )
                | ~ ( end_point @ ( sK8_Q @ SY390 @ SV244 ) @ SV244 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1369]) ).

thf(1387,plain,
    ! [SV245: $i] :
      ( ( ~ ( ~ ! [SY391: $i,SY392: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY391 )
                            | ~ ( incident_c @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY392 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY391 )
                          | ~ ( end_point @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY392 ) ) )
                  | ~ ( incident_c @ SV245 @ SY391 )
                  | ~ ( incident_c @ SV245 @ SY392 )
                  | ( meet @ SV245 @ SY391 @ SY392 ) )
            | ~ ~ ( ~ ! [SY393: $i,SY394: $i] :
                        ( ~ ( meet @ SV245 @ SY393 @ SY394 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY393 )
                                  | ~ ( incident_c @ SX3 @ SY394 )
                                  | ( end_point @ SX3 @ SY393 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY393 )
                                  | ~ ( incident_c @ SX3 @ SY394 )
                                  | ( end_point @ SX3 @ SY394 ) ) ) )
                  | ~ ~ ( ~ ! [SY397: $i] :
                              ( ! [SY398: $i] :
                                  ~ ( meet @ SV245 @ SY397 @ SY398 )
                              | ( incident_c @ SV245 @ SY397 ) )
                        | ~ ! [SY399: $i,SY400: $i] :
                              ( ~ ( meet @ SV245 @ SY399 @ SY400 )
                              | ( incident_c @ SV245 @ SY400 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1370]) ).

thf(1388,plain,
    ! [SV246: $i] :
      ( ( ! [SY401: $i] :
            ~ ( ~ ! [SY402: $i,SY403: $i] :
                    ( ( SY401 = SY403 )
                    | ! [SY404: $i] :
                        ( ~ ( end_point @ SY401 @ SY404 )
                        | ~ ( part_of @ SY404 @ SV246 )
                        | ~ ( end_point @ SY403 @ SY404 )
                        | ~ ( inner_point @ SY402 @ SY404 ) )
                    | ( between_c @ SV246 @ SY401 @ SY402 @ SY403 ) )
              | ~ ~ ( ~ ! [SY405: $i,SY406: $i] :
                          ( ~ ( between_c @ SV246 @ SY401 @ SY405 @ SY406 )
                          | ( SY401 != SY406 ) )
                    | ~ ! [SY407: $i,SY408: $i] :
                          ( ~ ( between_c @ SV246 @ SY401 @ SY407 @ SY408 )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY401 @ ( sK5_Cpp @ SY408 @ SY407 @ SY401 @ SV246 ) )
                                          | ~ ( part_of @ ( sK5_Cpp @ SY408 @ SY407 @ SY401 @ SV246 ) @ SV246 ) )
                                    | ~ ( end_point @ SY408 @ ( sK5_Cpp @ SY408 @ SY407 @ SY401 @ SV246 ) ) )
                              | ~ ( inner_point @ SY407 @ ( sK5_Cpp @ SY408 @ SY407 @ SY401 @ SV246 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1371]) ).

thf(1389,plain,
    ! [SV247: $i] :
      ( ( ! [SY409: $i] :
            ( ~ ( inner_point @ SY409 @ SV247 )
            | ~ ( ( SV247
                 != ( sum @ ( sK9_C1 @ SY409 @ SV247 ) @ ( sK10_SY68 @ SY409 @ SV247 ) ) )
                | ~ ( meet @ SY409 @ ( sK9_C1 @ SY409 @ SV247 ) @ ( sK10_SY68 @ SY409 @ SV247 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1372]) ).

thf(1390,plain,
    ! [SV248: $i] :
      ( ( ~ ( ~ ! [SY410: $i,SY411: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                                | ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY410 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                                | ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY411 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                          | ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY410 )
                          | ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY411 ) ) )
                  | ( SV248
                    = ( sum @ SY410 @ SY411 ) ) )
            | ~ ! [SY412: $i,SY413: $i] :
                  ( ( SV248
                   != ( sum @ SY412 @ SY413 ) )
                  | ~ ( ~ ! [SY414: $i] :
                            ( ~ ( incident_c @ SY414 @ SV248 )
                            | ( incident_c @ SY414 @ SY412 )
                            | ( incident_c @ SY414 @ SY413 ) )
                      | ~ ~ ( ~ ! [SY415: $i] :
                                  ( ~ ( incident_c @ SY415 @ SY412 )
                                  | ( incident_c @ SY415 @ SV248 ) )
                            | ~ ! [SY416: $i] :
                                  ( ~ ( incident_c @ SY416 @ SY413 )
                                  | ( incident_c @ SY416 @ SV248 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1373]) ).

thf(1391,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_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)],[1374]) ).

thf(1392,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1375]) ).

thf(1393,plain,
    ! [SV249: $i] :
      ( ( ! [SY417: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SY417 @ SV249 ) @ SV249 )
                    | ~ ( incident_c @ ( sK6_P @ SY417 @ SV249 ) @ SY417 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SY417 @ SV249 ) @ SV249 )
                    | ( incident_c @ ( sK6_P @ SY417 @ SV249 ) @ SY417 ) ) )
            | ( SV249 = SY417 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1376]) ).

thf(1394,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[1377]) ).

thf(1395,plain,
    ! [SV238: $i,SV250: $i] :
      ( ( ( SV250 = SV238 )
        | ~ ( part_of @ SV250 @ SV238 )
        | ( open @ SV250 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1378]) ).

thf(1396,plain,
    ! [SV239: $i,SV251: $i] :
      ( ( ! [SY418: $i,SY419: $i] :
            ( ~ ( part_of @ SV251 @ SV239 )
            | ~ ( part_of @ SY418 @ SV239 )
            | ~ ( part_of @ SY419 @ SV239 )
            | ! [SY420: $i] :
                ( ~ ( end_point @ SY420 @ SV251 )
                | ~ ( end_point @ SY420 @ SY418 )
                | ~ ( end_point @ SY420 @ SY419 ) )
            | ( part_of @ SY419 @ SV251 )
            | ( part_of @ SV251 @ SY419 )
            | ( part_of @ SY418 @ SV251 )
            | ( part_of @ SV251 @ SY418 )
            | ( part_of @ SY418 @ SY419 )
            | ( part_of @ SY419 @ SY418 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1379]) ).

thf(1397,plain,
    ! [SV241: $i,SV252: $i] :
      ( ( ! [SY421: $i,SY422: $i] :
            ( ~ ( end_point @ SV252 @ SV241 )
            | ~ ( end_point @ SY421 @ SV241 )
            | ~ ( end_point @ SY422 @ SV241 )
            | ( SY421 = SY422 )
            | ( SV252 = SY421 )
            | ( SV252 = SY422 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1381]) ).

thf(1398,plain,
    ! [SV253: $i,SV242: $i] :
      ( ( ! [SY423: $i] :
            ( ~ ( closed @ SV242 )
            | ! [SY424: $i] :
                ~ ( meet @ SY424 @ SV253 @ SY423 )
            | ( SV242
             != ( sum @ SV253 @ SY423 ) )
            | ! [SY425: $i] :
                ( ~ ( end_point @ SY425 @ SV253 )
                | ( meet @ SY425 @ SV253 @ SY423 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1382]) ).

thf(1399,plain,
    ! [SV254: $i,SV243: $i] :
      ( ( ! [SY426: $i] :
            ~ ( meet @ SY426 @ SV243 @ SV254 )
        | ( ( sK7_C @ SV254 @ SV243 )
          = ( sum @ SV243 @ SV254 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1383]) ).

thf(1400,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1384]) ).

thf(1401,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1384]) ).

thf(1402,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1385]) ).

thf(1403,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)],[1385]) ).

thf(1404,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ~ ( end_point @ SV255 @ SV244 )
        | ~ ( ~ ( ( SV255
                 != ( sK8_Q @ SV255 @ SV244 ) ) )
            | ~ ( end_point @ ( sK8_Q @ SV255 @ SV244 ) @ SV244 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1386]) ).

thf(1405,plain,
    ! [SV245: $i] :
      ( ( ~ ! [SY391: $i,SY392: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY391 )
                        | ~ ( incident_c @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY392 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY391 )
                      | ~ ( end_point @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY392 ) ) )
              | ~ ( incident_c @ SV245 @ SY391 )
              | ~ ( incident_c @ SV245 @ SY392 )
              | ( meet @ SV245 @ SY391 @ SY392 ) )
        | ~ ~ ( ~ ! [SY393: $i,SY394: $i] :
                    ( ~ ( meet @ SV245 @ SY393 @ SY394 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY393 )
                              | ~ ( incident_c @ SX3 @ SY394 )
                              | ( end_point @ SX3 @ SY393 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY393 )
                              | ~ ( incident_c @ SX3 @ SY394 )
                              | ( end_point @ SX3 @ SY394 ) ) ) )
              | ~ ~ ( ~ ! [SY397: $i] :
                          ( ! [SY398: $i] :
                              ~ ( meet @ SV245 @ SY397 @ SY398 )
                          | ( incident_c @ SV245 @ SY397 ) )
                    | ~ ! [SY399: $i,SY400: $i] :
                          ( ~ ( meet @ SV245 @ SY399 @ SY400 )
                          | ( incident_c @ SV245 @ SY400 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1387]) ).

thf(1406,plain,
    ! [SV246: $i,SV256: $i] :
      ( ( ~ ( ~ ! [SY427: $i,SY428: $i] :
                  ( ( SV256 = SY428 )
                  | ! [SY429: $i] :
                      ( ~ ( end_point @ SV256 @ SY429 )
                      | ~ ( part_of @ SY429 @ SV246 )
                      | ~ ( end_point @ SY428 @ SY429 )
                      | ~ ( inner_point @ SY427 @ SY429 ) )
                  | ( between_c @ SV246 @ SV256 @ SY427 @ SY428 ) )
            | ~ ~ ( ~ ! [SY430: $i,SY431: $i] :
                        ( ~ ( between_c @ SV246 @ SV256 @ SY430 @ SY431 )
                        | ( SV256 != SY431 ) )
                  | ~ ! [SY432: $i,SY433: $i] :
                        ( ~ ( between_c @ SV246 @ SV256 @ SY432 @ SY433 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) @ SV246 ) )
                                  | ~ ( end_point @ SY433 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) )
                            | ~ ( inner_point @ SY432 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1388]) ).

thf(1407,plain,
    ! [SV247: $i,SV257: $i] :
      ( ( ~ ( inner_point @ SV257 @ SV247 )
        | ~ ( ( SV247
             != ( sum @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) )
            | ~ ( meet @ SV257 @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1389]) ).

thf(1408,plain,
    ! [SV248: $i] :
      ( ( ~ ! [SY410: $i,SY411: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                            | ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY410 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                            | ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY411 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                      | ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY410 )
                      | ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY411 ) ) )
              | ( SV248
                = ( sum @ SY410 @ SY411 ) ) )
        | ~ ! [SY412: $i,SY413: $i] :
              ( ( SV248
               != ( sum @ SY412 @ SY413 ) )
              | ~ ( ~ ! [SY414: $i] :
                        ( ~ ( incident_c @ SY414 @ SV248 )
                        | ( incident_c @ SY414 @ SY412 )
                        | ( incident_c @ SY414 @ SY413 ) )
                  | ~ ~ ( ~ ! [SY415: $i] :
                              ( ~ ( incident_c @ SY415 @ SY412 )
                              | ( incident_c @ SY415 @ SV248 ) )
                        | ~ ! [SY416: $i] :
                              ( ~ ( incident_c @ SY416 @ SY413 )
                              | ( incident_c @ SY416 @ SV248 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1390]) ).

thf(1409,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1391]) ).

thf(1410,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)],[1391]) ).

thf(1411,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1392]) ).

thf(1412,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1392]) ).

thf(1413,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
                | ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) )
            | ~ ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
                | ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) ) )
        | ( SV249 = SV258 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1393]) ).

thf(1414,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1394]) ).

thf(1415,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)],[1394]) ).

thf(1416,plain,
    ! [SV238: $i,SV250: $i] :
      ( ( ( ( SV250 = SV238 )
          | ~ ( part_of @ SV250 @ SV238 ) )
        = $true )
      | ( ( open @ SV250 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1395]) ).

thf(1417,plain,
    ! [SV259: $i,SV239: $i,SV251: $i] :
      ( ( ! [SY434: $i] :
            ( ~ ( part_of @ SV251 @ SV239 )
            | ~ ( part_of @ SV259 @ SV239 )
            | ~ ( part_of @ SY434 @ SV239 )
            | ! [SY435: $i] :
                ( ~ ( end_point @ SY435 @ SV251 )
                | ~ ( end_point @ SY435 @ SV259 )
                | ~ ( end_point @ SY435 @ SY434 ) )
            | ( part_of @ SY434 @ SV251 )
            | ( part_of @ SV251 @ SY434 )
            | ( part_of @ SV259 @ SV251 )
            | ( part_of @ SV251 @ SV259 )
            | ( part_of @ SV259 @ SY434 )
            | ( part_of @ SY434 @ SV259 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1396]) ).

thf(1418,plain,
    ! [SV260: $i,SV241: $i,SV252: $i] :
      ( ( ! [SY436: $i] :
            ( ~ ( end_point @ SV252 @ SV241 )
            | ~ ( end_point @ SV260 @ SV241 )
            | ~ ( end_point @ SY436 @ SV241 )
            | ( SV260 = SY436 )
            | ( SV252 = SV260 )
            | ( SV252 = SY436 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1397]) ).

thf(1419,plain,
    ! [SV261: $i,SV253: $i,SV242: $i] :
      ( ( ~ ( closed @ SV242 )
        | ! [SY437: $i] :
            ~ ( meet @ SY437 @ SV253 @ SV261 )
        | ( SV242
         != ( sum @ SV253 @ SV261 ) )
        | ! [SY438: $i] :
            ( ~ ( end_point @ SY438 @ SV253 )
            | ( meet @ SY438 @ SV253 @ SV261 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1398]) ).

thf(1420,plain,
    ! [SV254: $i,SV243: $i] :
      ( ( ( ! [SY426: $i] :
              ~ ( meet @ SY426 @ SV243 @ SV254 ) )
        = $true )
      | ( ( ( sK7_C @ SV254 @ SV243 )
          = ( sum @ SV243 @ SV254 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1399]) ).

thf(1421,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( closed @ SX0 )
          | ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1400]) ).

thf(1422,plain,
    ( ( ! [SX0: $i] :
          ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
          | ( closed @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1401]) ).

thf(1423,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 )
          | ( inner_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1402]) ).

thf(1424,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)],[1403]) ).

thf(1425,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ( ~ ( end_point @ SV255 @ SV244 ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV255
                   != ( sK8_Q @ SV255 @ SV244 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV255 @ SV244 ) @ SV244 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1404]) ).

thf(1426,plain,
    ! [SV245: $i] :
      ( ( ~ ! [SY391: $i,SY392: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY391 )
                        | ~ ( incident_c @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY392 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY391 )
                      | ~ ( end_point @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY392 ) ) )
              | ~ ( incident_c @ SV245 @ SY391 )
              | ~ ( incident_c @ SV245 @ SY392 )
              | ( meet @ SV245 @ SY391 @ SY392 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1405]) ).

thf(1427,plain,
    ! [SV245: $i] :
      ( ( ~ ~ ( ~ ! [SY393: $i,SY394: $i] :
                    ( ~ ( meet @ SV245 @ SY393 @ SY394 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY393 )
                              | ~ ( incident_c @ SX3 @ SY394 )
                              | ( end_point @ SX3 @ SY393 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY393 )
                              | ~ ( incident_c @ SX3 @ SY394 )
                              | ( end_point @ SX3 @ SY394 ) ) ) )
              | ~ ~ ( ~ ! [SY397: $i] :
                          ( ! [SY398: $i] :
                              ~ ( meet @ SV245 @ SY397 @ SY398 )
                          | ( incident_c @ SV245 @ SY397 ) )
                    | ~ ! [SY399: $i,SY400: $i] :
                          ( ~ ( meet @ SV245 @ SY399 @ SY400 )
                          | ( incident_c @ SV245 @ SY400 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1405]) ).

thf(1428,plain,
    ! [SV246: $i,SV256: $i] :
      ( ( ~ ! [SY427: $i,SY428: $i] :
              ( ( SV256 = SY428 )
              | ! [SY429: $i] :
                  ( ~ ( end_point @ SV256 @ SY429 )
                  | ~ ( part_of @ SY429 @ SV246 )
                  | ~ ( end_point @ SY428 @ SY429 )
                  | ~ ( inner_point @ SY427 @ SY429 ) )
              | ( between_c @ SV246 @ SV256 @ SY427 @ SY428 ) )
        | ~ ~ ( ~ ! [SY430: $i,SY431: $i] :
                    ( ~ ( between_c @ SV246 @ SV256 @ SY430 @ SY431 )
                    | ( SV256 != SY431 ) )
              | ~ ! [SY432: $i,SY433: $i] :
                    ( ~ ( between_c @ SV246 @ SV256 @ SY432 @ SY433 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) @ SV246 ) )
                              | ~ ( end_point @ SY433 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) )
                        | ~ ( inner_point @ SY432 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1406]) ).

thf(1429,plain,
    ! [SV247: $i,SV257: $i] :
      ( ( ( ~ ( inner_point @ SV257 @ SV247 ) )
        = $true )
      | ( ( ~ ( ( SV247
               != ( sum @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) )
              | ~ ( meet @ SV257 @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1407]) ).

thf(1430,plain,
    ! [SV248: $i] :
      ( ( ~ ! [SY410: $i,SY411: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                            | ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY410 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                            | ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY411 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                      | ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY410 )
                      | ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY411 ) ) )
              | ( SV248
                = ( sum @ SY410 @ SY411 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1408]) ).

thf(1431,plain,
    ! [SV248: $i] :
      ( ( ~ ! [SY412: $i,SY413: $i] :
              ( ( SV248
               != ( sum @ SY412 @ SY413 ) )
              | ~ ( ~ ! [SY414: $i] :
                        ( ~ ( incident_c @ SY414 @ SV248 )
                        | ( incident_c @ SY414 @ SY412 )
                        | ( incident_c @ SY414 @ SY413 ) )
                  | ~ ~ ( ~ ! [SY415: $i] :
                              ( ~ ( incident_c @ SY415 @ SY412 )
                              | ( incident_c @ SY415 @ SV248 ) )
                        | ~ ! [SY416: $i] :
                              ( ~ ( incident_c @ SY416 @ SY413 )
                              | ( incident_c @ SY416 @ SV248 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1408]) ).

thf(1432,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
          | ( part_of @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1409]) ).

thf(1433,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)],[1410]) ).

thf(1434,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 )
          | ( open @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1411]) ).

thf(1435,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( open @ SX0 )
          | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1412]) ).

thf(1436,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
                  | ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
                  | ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) ) ) )
        = $true )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1413]) ).

thf(1437,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                          | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                    | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
          | ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1414]) ).

thf(1438,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)],[1415]) ).

thf(1439,plain,
    ! [SV238: $i,SV250: $i] :
      ( ( ( SV250 = SV238 )
        = $true )
      | ( ( ~ ( part_of @ SV250 @ SV238 ) )
        = $true )
      | ( ( open @ SV250 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1416]) ).

thf(1440,plain,
    ! [SV262: $i,SV259: $i,SV239: $i,SV251: $i] :
      ( ( ~ ( part_of @ SV251 @ SV239 )
        | ~ ( part_of @ SV259 @ SV239 )
        | ~ ( part_of @ SV262 @ SV239 )
        | ! [SY439: $i] :
            ( ~ ( end_point @ SY439 @ SV251 )
            | ~ ( end_point @ SY439 @ SV259 )
            | ~ ( end_point @ SY439 @ SV262 ) )
        | ( part_of @ SV262 @ SV251 )
        | ( part_of @ SV251 @ SV262 )
        | ( part_of @ SV259 @ SV251 )
        | ( part_of @ SV251 @ SV259 )
        | ( part_of @ SV259 @ SV262 )
        | ( part_of @ SV262 @ SV259 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1417]) ).

thf(1441,plain,
    ! [SV263: $i,SV260: $i,SV241: $i,SV252: $i] :
      ( ( ~ ( end_point @ SV252 @ SV241 )
        | ~ ( end_point @ SV260 @ SV241 )
        | ~ ( end_point @ SV263 @ SV241 )
        | ( SV260 = SV263 )
        | ( SV252 = SV260 )
        | ( SV252 = SV263 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1418]) ).

thf(1442,plain,
    ! [SV261: $i,SV253: $i,SV242: $i] :
      ( ( ( ~ ( closed @ SV242 )
          | ! [SY437: $i] :
              ~ ( meet @ SY437 @ SV253 @ SV261 )
          | ( SV242
           != ( sum @ SV253 @ SV261 ) ) )
        = $true )
      | ( ( ! [SY438: $i] :
              ( ~ ( end_point @ SY438 @ SV253 )
              | ( meet @ SY438 @ SV253 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1419]) ).

thf(1443,plain,
    ! [SV254: $i,SV243: $i,SV264: $i] :
      ( ( ( ~ ( meet @ SV264 @ SV243 @ SV254 ) )
        = $true )
      | ( ( ( sK7_C @ SV254 @ SV243 )
          = ( sum @ SV243 @ SV254 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1420]) ).

thf(1444,plain,
    ! [SV265: $i] :
      ( ( ~ ( closed @ SV265 )
        | ! [SY440: $i] :
            ~ ( end_point @ SY440 @ SV265 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1421]) ).

thf(1445,plain,
    ! [SV266: $i] :
      ( ( ( end_point @ ( sK13_P @ SV266 ) @ SV266 )
        | ( closed @ SV266 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1422]) ).

thf(1446,plain,
    ! [SV267: $i] :
      ( ( ! [SY441: $i] :
            ( ~ ( incident_c @ SV267 @ SY441 )
            | ( end_point @ SV267 @ SY441 )
            | ( inner_point @ SV267 @ SY441 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1423]) ).

thf(1447,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)],[1424]) ).

thf(1448,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ( end_point @ SV255 @ SV244 )
        = $false )
      | ( ( ~ ( ~ ( ( SV255
                   != ( sK8_Q @ SV255 @ SV244 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV255 @ SV244 ) @ SV244 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1425]) ).

thf(1449,plain,
    ! [SV245: $i] :
      ( ( ! [SY391: $i,SY392: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY391 )
                      | ~ ( incident_c @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY392 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY391 )
                    | ~ ( end_point @ ( sK14_Q @ SY392 @ SY391 @ SV245 ) @ SY392 ) ) )
            | ~ ( incident_c @ SV245 @ SY391 )
            | ~ ( incident_c @ SV245 @ SY392 )
            | ( meet @ SV245 @ SY391 @ SY392 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1426]) ).

thf(1450,plain,
    ! [SV245: $i] :
      ( ( ~ ( ~ ! [SY393: $i,SY394: $i] :
                  ( ~ ( meet @ SV245 @ SY393 @ SY394 )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY393 )
                            | ~ ( incident_c @ SX3 @ SY394 )
                            | ( end_point @ SX3 @ SY393 ) )
                      | ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY393 )
                            | ~ ( incident_c @ SX3 @ SY394 )
                            | ( end_point @ SX3 @ SY394 ) ) ) )
            | ~ ~ ( ~ ! [SY397: $i] :
                        ( ! [SY398: $i] :
                            ~ ( meet @ SV245 @ SY397 @ SY398 )
                        | ( incident_c @ SV245 @ SY397 ) )
                  | ~ ! [SY399: $i,SY400: $i] :
                        ( ~ ( meet @ SV245 @ SY399 @ SY400 )
                        | ( incident_c @ SV245 @ SY400 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1427]) ).

thf(1451,plain,
    ! [SV246: $i,SV256: $i] :
      ( ( ~ ! [SY427: $i,SY428: $i] :
              ( ( SV256 = SY428 )
              | ! [SY429: $i] :
                  ( ~ ( end_point @ SV256 @ SY429 )
                  | ~ ( part_of @ SY429 @ SV246 )
                  | ~ ( end_point @ SY428 @ SY429 )
                  | ~ ( inner_point @ SY427 @ SY429 ) )
              | ( between_c @ SV246 @ SV256 @ SY427 @ SY428 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1428]) ).

thf(1452,plain,
    ! [SV256: $i,SV246: $i] :
      ( ( ~ ~ ( ~ ! [SY430: $i,SY431: $i] :
                    ( ~ ( between_c @ SV246 @ SV256 @ SY430 @ SY431 )
                    | ( SV256 != SY431 ) )
              | ~ ! [SY432: $i,SY433: $i] :
                    ( ~ ( between_c @ SV246 @ SV256 @ SY432 @ SY433 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) @ SV246 ) )
                              | ~ ( end_point @ SY433 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) )
                        | ~ ( inner_point @ SY432 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1428]) ).

thf(1453,plain,
    ! [SV247: $i,SV257: $i] :
      ( ( ( inner_point @ SV257 @ SV247 )
        = $false )
      | ( ( ~ ( ( SV247
               != ( sum @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) )
              | ~ ( meet @ SV257 @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1429]) ).

thf(1454,plain,
    ! [SV248: $i] :
      ( ( ! [SY410: $i,SY411: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                          | ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY410 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                          | ~ ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY411 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SV248 )
                    | ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY410 )
                    | ( incident_c @ ( sK17_Q @ SY411 @ SY410 @ SV248 ) @ SY411 ) ) )
            | ( SV248
              = ( sum @ SY410 @ SY411 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1430]) ).

thf(1455,plain,
    ! [SV248: $i] :
      ( ( ! [SY412: $i,SY413: $i] :
            ( ( SV248
             != ( sum @ SY412 @ SY413 ) )
            | ~ ( ~ ! [SY414: $i] :
                      ( ~ ( incident_c @ SY414 @ SV248 )
                      | ( incident_c @ SY414 @ SY412 )
                      | ( incident_c @ SY414 @ SY413 ) )
                | ~ ~ ( ~ ! [SY415: $i] :
                            ( ~ ( incident_c @ SY415 @ SY412 )
                            | ( incident_c @ SY415 @ SV248 ) )
                      | ~ ! [SY416: $i] :
                            ( ~ ( incident_c @ SY416 @ SY413 )
                            | ( incident_c @ SY416 @ SV248 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1431]) ).

thf(1456,plain,
    ! [SV268: $i] :
      ( ( ! [SY442: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SY442 @ SV268 ) @ SY442 )
                | ~ ~ ( incident_c @ ( sK18_P @ SY442 @ SV268 ) @ SV268 ) )
            | ( part_of @ SY442 @ SV268 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1432]) ).

thf(1457,plain,
    ! [SV269: $i] :
      ( ( ! [SY443: $i] :
            ( ~ ( part_of @ SY443 @ SV269 )
            | ! [SY444: $i] :
                ( ~ ( incident_c @ SY444 @ SY443 )
                | ( incident_c @ SY444 @ SV269 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1433]) ).

thf(1458,plain,
    ! [SV270: $i] :
      ( ( ! [SY445: $i] :
            ~ ( end_point @ SY445 @ SV270 )
        | ( open @ SV270 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1434]) ).

thf(1459,plain,
    ! [SV271: $i] :
      ( ( ~ ( open @ SV271 )
        | ( end_point @ ( sK12_P @ SV271 ) @ SV271 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1435]) ).

thf(1460,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
              | ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) )
          | ~ ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
              | ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) ) )
        = $false )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1436]) ).

thf(1461,plain,
    ! [SV272: $i] :
      ( ( ! [SY446: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SY446 @ SV272 ) @ SY446 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SY446 @ SV272 ) @ SY446 ) )
                            | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SY446 @ SV272 ) ) )
                      | ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SY446 @ SV272 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SY446 @ SV272 ) @ ( sK16_SY69 @ SY446 @ SV272 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SY446 @ SV272 ) @ ( sK15_C1 @ SY446 @ SV272 ) ) ) )
            | ~ ( incident_c @ SV272 @ SY446 )
            | ( end_point @ SV272 @ SY446 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1437]) ).

thf(1462,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)],[1438]) ).

thf(1463,plain,
    ! [SV238: $i,SV250: $i] :
      ( ( ( part_of @ SV250 @ SV238 )
        = $false )
      | ( ( SV250 = SV238 )
        = $true )
      | ( ( open @ SV250 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1439]) ).

thf(1464,plain,
    ! [SV262: $i,SV259: $i,SV239: $i,SV251: $i] :
      ( ( ( ~ ( part_of @ SV251 @ SV239 )
          | ~ ( part_of @ SV259 @ SV239 )
          | ~ ( part_of @ SV262 @ SV239 )
          | ! [SY439: $i] :
              ( ~ ( end_point @ SY439 @ SV251 )
              | ~ ( end_point @ SY439 @ SV259 )
              | ~ ( end_point @ SY439 @ SV262 ) ) )
        = $true )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1440]) ).

thf(1465,plain,
    ! [SV263: $i,SV260: $i,SV241: $i,SV252: $i] :
      ( ( ( ~ ( end_point @ SV252 @ SV241 )
          | ~ ( end_point @ SV260 @ SV241 )
          | ~ ( end_point @ SV263 @ SV241 ) )
        = $true )
      | ( ( ( SV260 = SV263 )
          | ( SV252 = SV260 )
          | ( SV252 = SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1441]) ).

thf(1466,plain,
    ! [SV261: $i,SV253: $i,SV242: $i] :
      ( ( ( ~ ( closed @ SV242 )
          | ! [SY437: $i] :
              ~ ( meet @ SY437 @ SV253 @ SV261 ) )
        = $true )
      | ( ( ( SV242
           != ( sum @ SV253 @ SV261 ) ) )
        = $true )
      | ( ( ! [SY438: $i] :
              ( ~ ( end_point @ SY438 @ SV253 )
              | ( meet @ SY438 @ SV253 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1442]) ).

thf(1467,plain,
    ! [SV254: $i,SV243: $i,SV264: $i] :
      ( ( ( meet @ SV264 @ SV243 @ SV254 )
        = $false )
      | ( ( ( sK7_C @ SV254 @ SV243 )
          = ( sum @ SV243 @ SV254 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1443]) ).

thf(1468,plain,
    ! [SV265: $i] :
      ( ( ( ~ ( closed @ SV265 ) )
        = $true )
      | ( ( ! [SY440: $i] :
              ~ ( end_point @ SY440 @ SV265 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1444]) ).

thf(1469,plain,
    ! [SV266: $i] :
      ( ( ( end_point @ ( sK13_P @ SV266 ) @ SV266 )
        = $true )
      | ( ( closed @ SV266 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1445]) ).

thf(1470,plain,
    ! [SV273: $i,SV267: $i] :
      ( ( ~ ( incident_c @ SV267 @ SV273 )
        | ( end_point @ SV267 @ SV273 )
        | ( inner_point @ SV267 @ SV273 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1446]) ).

thf(1471,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1447]) ).

thf(1472,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1447]) ).

thf(1473,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ( ~ ( ( SV255
               != ( sK8_Q @ SV255 @ SV244 ) ) )
          | ~ ( end_point @ ( sK8_Q @ SV255 @ SV244 ) @ SV244 ) )
        = $false )
      | ( ( end_point @ SV255 @ SV244 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1448]) ).

thf(1474,plain,
    ! [SV245: $i,SV274: $i] :
      ( ( ! [SY447: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY447 @ SV274 @ SV245 ) @ SV274 )
                      | ~ ( incident_c @ ( sK14_Q @ SY447 @ SV274 @ SV245 ) @ SY447 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY447 @ SV274 @ SV245 ) @ SV274 )
                    | ~ ( end_point @ ( sK14_Q @ SY447 @ SV274 @ SV245 ) @ SY447 ) ) )
            | ~ ( incident_c @ SV245 @ SV274 )
            | ~ ( incident_c @ SV245 @ SY447 )
            | ( meet @ SV245 @ SV274 @ SY447 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1449]) ).

thf(1475,plain,
    ! [SV245: $i] :
      ( ( ~ ! [SY393: $i,SY394: $i] :
              ( ~ ( meet @ SV245 @ SY393 @ SY394 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY393 )
                        | ~ ( incident_c @ SX3 @ SY394 )
                        | ( end_point @ SX3 @ SY393 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY393 )
                        | ~ ( incident_c @ SX3 @ SY394 )
                        | ( end_point @ SX3 @ SY394 ) ) ) )
        | ~ ~ ( ~ ! [SY397: $i] :
                    ( ! [SY398: $i] :
                        ~ ( meet @ SV245 @ SY397 @ SY398 )
                    | ( incident_c @ SV245 @ SY397 ) )
              | ~ ! [SY399: $i,SY400: $i] :
                    ( ~ ( meet @ SV245 @ SY399 @ SY400 )
                    | ( incident_c @ SV245 @ SY400 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1450]) ).

thf(1476,plain,
    ! [SV246: $i,SV256: $i] :
      ( ( ! [SY427: $i,SY428: $i] :
            ( ( SV256 = SY428 )
            | ! [SY429: $i] :
                ( ~ ( end_point @ SV256 @ SY429 )
                | ~ ( part_of @ SY429 @ SV246 )
                | ~ ( end_point @ SY428 @ SY429 )
                | ~ ( inner_point @ SY427 @ SY429 ) )
            | ( between_c @ SV246 @ SV256 @ SY427 @ SY428 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1451]) ).

thf(1477,plain,
    ! [SV256: $i,SV246: $i] :
      ( ( ~ ( ~ ! [SY430: $i,SY431: $i] :
                  ( ~ ( between_c @ SV246 @ SV256 @ SY430 @ SY431 )
                  | ( SV256 != SY431 ) )
            | ~ ! [SY432: $i,SY433: $i] :
                  ( ~ ( between_c @ SV246 @ SV256 @ SY432 @ SY433 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) )
                                  | ~ ( part_of @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) @ SV246 ) )
                            | ~ ( end_point @ SY433 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) )
                      | ~ ( inner_point @ SY432 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1452]) ).

thf(1478,plain,
    ! [SV257: $i,SV247: $i] :
      ( ( ( ( SV247
           != ( sum @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) )
          | ~ ( meet @ SV257 @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) )
        = $false )
      | ( ( inner_point @ SV257 @ SV247 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1453]) ).

thf(1479,plain,
    ! [SV248: $i,SV275: $i] :
      ( ( ! [SY448: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY448 @ SV275 @ SV248 ) @ SV248 )
                          | ~ ( incident_c @ ( sK17_Q @ SY448 @ SV275 @ SV248 ) @ SV275 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY448 @ SV275 @ SV248 ) @ SV248 )
                          | ~ ( incident_c @ ( sK17_Q @ SY448 @ SV275 @ SV248 ) @ SY448 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY448 @ SV275 @ SV248 ) @ SV248 )
                    | ( incident_c @ ( sK17_Q @ SY448 @ SV275 @ SV248 ) @ SV275 )
                    | ( incident_c @ ( sK17_Q @ SY448 @ SV275 @ SV248 ) @ SY448 ) ) )
            | ( SV248
              = ( sum @ SV275 @ SY448 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1454]) ).

thf(1480,plain,
    ! [SV276: $i,SV248: $i] :
      ( ( ! [SY449: $i] :
            ( ( SV248
             != ( sum @ SV276 @ SY449 ) )
            | ~ ( ~ ! [SY450: $i] :
                      ( ~ ( incident_c @ SY450 @ SV248 )
                      | ( incident_c @ SY450 @ SV276 )
                      | ( incident_c @ SY450 @ SY449 ) )
                | ~ ~ ( ~ ! [SY451: $i] :
                            ( ~ ( incident_c @ SY451 @ SV276 )
                            | ( incident_c @ SY451 @ SV248 ) )
                      | ~ ! [SY416: $i] :
                            ( ~ ( incident_c @ SY416 @ SY449 )
                            | ( incident_c @ SY416 @ SV248 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1455]) ).

thf(1481,plain,
    ! [SV268: $i,SV277: $i] :
      ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV277 )
            | ~ ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV268 ) )
        | ( part_of @ SV277 @ SV268 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1456]) ).

thf(1482,plain,
    ! [SV269: $i,SV278: $i] :
      ( ( ~ ( part_of @ SV278 @ SV269 )
        | ! [SY453: $i] :
            ( ~ ( incident_c @ SY453 @ SV278 )
            | ( incident_c @ SY453 @ SV269 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1457]) ).

thf(1483,plain,
    ! [SV270: $i] :
      ( ( ( ! [SY445: $i] :
              ~ ( end_point @ SY445 @ SV270 ) )
        = $true )
      | ( ( open @ SV270 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1458]) ).

thf(1484,plain,
    ! [SV271: $i] :
      ( ( ( ~ ( open @ SV271 ) )
        = $true )
      | ( ( end_point @ ( sK12_P @ SV271 ) @ SV271 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1459]) ).

thf(1485,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
              | ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) ) )
        = $false )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1460]) ).

thf(1486,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
              | ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) ) )
        = $false )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1460]) ).

thf(1487,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                              | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
                        | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
                  | ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) ) )
            | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
                  | ~ ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) ) )
        | ~ ( incident_c @ SV272 @ SV279 )
        | ( end_point @ SV272 @ SV279 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1461]) ).

thf(1488,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)],[1462]) ).

thf(1489,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1462]) ).

thf(1490,plain,
    ! [SV262: $i,SV259: $i,SV239: $i,SV251: $i] :
      ( ( ( ~ ( part_of @ SV251 @ SV239 )
          | ~ ( part_of @ SV259 @ SV239 )
          | ~ ( part_of @ SV262 @ SV239 ) )
        = $true )
      | ( ( ! [SY439: $i] :
              ( ~ ( end_point @ SY439 @ SV251 )
              | ~ ( end_point @ SY439 @ SV259 )
              | ~ ( end_point @ SY439 @ SV262 ) ) )
        = $true )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1464]) ).

thf(1491,plain,
    ! [SV263: $i,SV260: $i,SV241: $i,SV252: $i] :
      ( ( ( ~ ( end_point @ SV252 @ SV241 )
          | ~ ( end_point @ SV260 @ SV241 ) )
        = $true )
      | ( ( ~ ( end_point @ SV263 @ SV241 ) )
        = $true )
      | ( ( ( SV260 = SV263 )
          | ( SV252 = SV260 )
          | ( SV252 = SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1465]) ).

thf(1492,plain,
    ! [SV261: $i,SV253: $i,SV242: $i] :
      ( ( ( ~ ( closed @ SV242 ) )
        = $true )
      | ( ( ! [SY437: $i] :
              ~ ( meet @ SY437 @ SV253 @ SV261 ) )
        = $true )
      | ( ( ( SV242
           != ( sum @ SV253 @ SV261 ) ) )
        = $true )
      | ( ( ! [SY438: $i] :
              ( ~ ( end_point @ SY438 @ SV253 )
              | ( meet @ SY438 @ SV253 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1466]) ).

thf(1493,plain,
    ! [SV265: $i] :
      ( ( ( closed @ SV265 )
        = $false )
      | ( ( ! [SY440: $i] :
              ~ ( end_point @ SY440 @ SV265 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1468]) ).

thf(1494,plain,
    ! [SV273: $i,SV267: $i] :
      ( ( ( ~ ( incident_c @ SV267 @ SV273 )
          | ( end_point @ SV267 @ SV273 ) )
        = $true )
      | ( ( inner_point @ SV267 @ SV273 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1470]) ).

thf(1495,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1471]) ).

thf(1496,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1472]) ).

thf(1497,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ( ~ ( ( SV255
               != ( sK8_Q @ SV255 @ SV244 ) ) ) )
        = $false )
      | ( ( end_point @ SV255 @ SV244 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1473]) ).

thf(1498,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ( ~ ( end_point @ ( sK8_Q @ SV255 @ SV244 ) @ SV244 ) )
        = $false )
      | ( ( end_point @ SV255 @ SV244 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1473]) ).

thf(1499,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
                  | ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
            | ~ ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
                | ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) ) )
        | ~ ( incident_c @ SV245 @ SV274 )
        | ~ ( incident_c @ SV245 @ SV280 )
        | ( meet @ SV245 @ SV274 @ SV280 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1474]) ).

thf(1500,plain,
    ! [SV245: $i] :
      ( ( ~ ! [SY393: $i,SY394: $i] :
              ( ~ ( meet @ SV245 @ SY393 @ SY394 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY393 )
                        | ~ ( incident_c @ SX3 @ SY394 )
                        | ( end_point @ SX3 @ SY393 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY393 )
                        | ~ ( incident_c @ SX3 @ SY394 )
                        | ( end_point @ SX3 @ SY394 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1475]) ).

thf(1501,plain,
    ! [SV245: $i] :
      ( ( ~ ~ ( ~ ! [SY397: $i] :
                    ( ! [SY398: $i] :
                        ~ ( meet @ SV245 @ SY397 @ SY398 )
                    | ( incident_c @ SV245 @ SY397 ) )
              | ~ ! [SY399: $i,SY400: $i] :
                    ( ~ ( meet @ SV245 @ SY399 @ SY400 )
                    | ( incident_c @ SV245 @ SY400 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1475]) ).

thf(1502,plain,
    ! [SV281: $i,SV246: $i,SV256: $i] :
      ( ( ! [SY454: $i] :
            ( ( SV256 = SY454 )
            | ! [SY455: $i] :
                ( ~ ( end_point @ SV256 @ SY455 )
                | ~ ( part_of @ SY455 @ SV246 )
                | ~ ( end_point @ SY454 @ SY455 )
                | ~ ( inner_point @ SV281 @ SY455 ) )
            | ( between_c @ SV246 @ SV256 @ SV281 @ SY454 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1476]) ).

thf(1503,plain,
    ! [SV256: $i,SV246: $i] :
      ( ( ~ ! [SY430: $i,SY431: $i] :
              ( ~ ( between_c @ SV246 @ SV256 @ SY430 @ SY431 )
              | ( SV256 != SY431 ) )
        | ~ ! [SY432: $i,SY433: $i] :
              ( ~ ( between_c @ SV246 @ SV256 @ SY432 @ SY433 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) @ SV246 ) )
                        | ~ ( end_point @ SY433 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) )
                  | ~ ( inner_point @ SY432 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1477]) ).

thf(1504,plain,
    ! [SV257: $i,SV247: $i] :
      ( ( ( ( SV247
           != ( sum @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) ) )
        = $false )
      | ( ( inner_point @ SV257 @ SV247 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1478]) ).

thf(1505,plain,
    ! [SV247: $i,SV257: $i] :
      ( ( ( ~ ( meet @ SV257 @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) )
        = $false )
      | ( ( inner_point @ SV257 @ SV247 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1478]) ).

thf(1506,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                      | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
                  | ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                      | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) )
            | ~ ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 )
                | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) )
        | ( SV248
          = ( sum @ SV275 @ SV282 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1479]) ).

thf(1507,plain,
    ! [SV283: $i,SV276: $i,SV248: $i] :
      ( ( ( SV248
         != ( sum @ SV276 @ SV283 ) )
        | ~ ( ~ ! [SY456: $i] :
                  ( ~ ( incident_c @ SY456 @ SV248 )
                  | ( incident_c @ SY456 @ SV276 )
                  | ( incident_c @ SY456 @ SV283 ) )
            | ~ ~ ( ~ ! [SY451: $i] :
                        ( ~ ( incident_c @ SY451 @ SV276 )
                        | ( incident_c @ SY451 @ SV248 ) )
                  | ~ ! [SY458: $i] :
                        ( ~ ( incident_c @ SY458 @ SV283 )
                        | ( incident_c @ SY458 @ SV248 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1480]) ).

thf(1508,plain,
    ! [SV268: $i,SV277: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV277 )
              | ~ ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV268 ) ) )
        = $true )
      | ( ( part_of @ SV277 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1481]) ).

thf(1509,plain,
    ! [SV269: $i,SV278: $i] :
      ( ( ( ~ ( part_of @ SV278 @ SV269 ) )
        = $true )
      | ( ( ! [SY453: $i] :
              ( ~ ( incident_c @ SY453 @ SV278 )
              | ( incident_c @ SY453 @ SV269 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1482]) ).

thf(1510,plain,
    ! [SV270: $i,SV284: $i] :
      ( ( ( ~ ( end_point @ SV284 @ SV270 ) )
        = $true )
      | ( ( open @ SV270 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1483]) ).

thf(1511,plain,
    ! [SV271: $i] :
      ( ( ( open @ SV271 )
        = $false )
      | ( ( end_point @ ( sK12_P @ SV271 ) @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1484]) ).

thf(1512,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
          | ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) )
        = $true )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1485]) ).

thf(1513,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
          | ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) )
        = $true )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1486]) ).

thf(1514,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
                          | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
                    | ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) ) )
          | ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1487]) ).

thf(1515,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)],[1488]) ).

thf(1516,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1489]) ).

thf(1517,plain,
    ! [SV262: $i,SV259: $i,SV239: $i,SV251: $i] :
      ( ( ( ~ ( part_of @ SV251 @ SV239 )
          | ~ ( part_of @ SV259 @ SV239 ) )
        = $true )
      | ( ( ~ ( part_of @ SV262 @ SV239 ) )
        = $true )
      | ( ( ! [SY439: $i] :
              ( ~ ( end_point @ SY439 @ SV251 )
              | ~ ( end_point @ SY439 @ SV259 )
              | ~ ( end_point @ SY439 @ SV262 ) ) )
        = $true )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1490]) ).

thf(1518,plain,
    ! [SV263: $i,SV260: $i,SV241: $i,SV252: $i] :
      ( ( ( ~ ( end_point @ SV252 @ SV241 ) )
        = $true )
      | ( ( ~ ( end_point @ SV260 @ SV241 ) )
        = $true )
      | ( ( ~ ( end_point @ SV263 @ SV241 ) )
        = $true )
      | ( ( ( SV260 = SV263 )
          | ( SV252 = SV260 )
          | ( SV252 = SV263 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1491]) ).

thf(1519,plain,
    ! [SV261: $i,SV253: $i,SV242: $i] :
      ( ( ( closed @ SV242 )
        = $false )
      | ( ( ! [SY437: $i] :
              ~ ( meet @ SY437 @ SV253 @ SV261 ) )
        = $true )
      | ( ( ( SV242
           != ( sum @ SV253 @ SV261 ) ) )
        = $true )
      | ( ( ! [SY438: $i] :
              ( ~ ( end_point @ SY438 @ SV253 )
              | ( meet @ SY438 @ SV253 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1492]) ).

thf(1520,plain,
    ! [SV265: $i,SV285: $i] :
      ( ( ( ~ ( end_point @ SV285 @ SV265 ) )
        = $true )
      | ( ( closed @ SV265 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1493]) ).

thf(1521,plain,
    ! [SV273: $i,SV267: $i] :
      ( ( ( ~ ( incident_c @ SV267 @ SV273 ) )
        = $true )
      | ( ( end_point @ SV267 @ SV273 )
        = $true )
      | ( ( inner_point @ SV267 @ SV273 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1494]) ).

thf(1522,plain,
    ! [SV286: $i] :
      ( ( ! [SY459: $i] :
            ( ~ ( inner_point @ SV286 @ SY459 )
            | ( incident_c @ SV286 @ SY459 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1495]) ).

thf(1523,plain,
    ! [SV287: $i] :
      ( ( ! [SY460: $i] :
            ( ~ ( inner_point @ SV287 @ SY460 )
            | ~ ( end_point @ SV287 @ SY460 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1496]) ).

thf(1524,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ( ( SV255
           != ( sK8_Q @ SV255 @ SV244 ) ) )
        = $true )
      | ( ( end_point @ SV255 @ SV244 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1497]) ).

thf(1525,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ( end_point @ ( sK8_Q @ SV255 @ SV244 ) @ SV244 )
        = $true )
      | ( ( end_point @ SV255 @ SV244 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1498]) ).

thf(1526,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
                    | ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
                  | ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) ) )
          | ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1499]) ).

thf(1527,plain,
    ! [SV245: $i] :
      ( ( ! [SY393: $i,SY394: $i] :
            ( ~ ( meet @ SV245 @ SY393 @ SY394 )
            | ~ ( ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY393 )
                      | ~ ( incident_c @ SX3 @ SY394 )
                      | ( end_point @ SX3 @ SY393 ) )
                | ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY393 )
                      | ~ ( incident_c @ SX3 @ SY394 )
                      | ( end_point @ SX3 @ SY394 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1500]) ).

thf(1528,plain,
    ! [SV245: $i] :
      ( ( ~ ( ~ ! [SY397: $i] :
                  ( ! [SY398: $i] :
                      ~ ( meet @ SV245 @ SY397 @ SY398 )
                  | ( incident_c @ SV245 @ SY397 ) )
            | ~ ! [SY399: $i,SY400: $i] :
                  ( ~ ( meet @ SV245 @ SY399 @ SY400 )
                  | ( incident_c @ SV245 @ SY400 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1501]) ).

thf(1529,plain,
    ! [SV281: $i,SV246: $i,SV288: $i,SV256: $i] :
      ( ( ( SV256 = SV288 )
        | ! [SY461: $i] :
            ( ~ ( end_point @ SV256 @ SY461 )
            | ~ ( part_of @ SY461 @ SV246 )
            | ~ ( end_point @ SV288 @ SY461 )
            | ~ ( inner_point @ SV281 @ SY461 ) )
        | ( between_c @ SV246 @ SV256 @ SV281 @ SV288 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1502]) ).

thf(1530,plain,
    ! [SV256: $i,SV246: $i] :
      ( ( ~ ! [SY430: $i,SY431: $i] :
              ( ~ ( between_c @ SV246 @ SV256 @ SY430 @ SY431 )
              | ( SV256 != SY431 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1503]) ).

thf(1531,plain,
    ! [SV256: $i,SV246: $i] :
      ( ( ~ ! [SY432: $i,SY433: $i] :
              ( ~ ( between_c @ SV246 @ SV256 @ SY432 @ SY433 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) @ SV246 ) )
                        | ~ ( end_point @ SY433 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) )
                  | ~ ( inner_point @ SY432 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1503]) ).

thf(1532,plain,
    ! [SV257: $i,SV247: $i] :
      ( ( ( SV247
          = ( sum @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) ) )
        = $true )
      | ( ( inner_point @ SV257 @ SV247 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1504]) ).

thf(1533,plain,
    ! [SV247: $i,SV257: $i] :
      ( ( ( meet @ SV257 @ ( sK9_C1 @ SV257 @ SV247 ) @ ( sK10_SY68 @ SV257 @ SV247 ) )
        = $true )
      | ( ( inner_point @ SV257 @ SV247 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1505]) ).

thf(1534,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                        | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
                    | ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                        | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) )
              | ~ ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                  | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 )
                  | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1506]) ).

thf(1535,plain,
    ! [SV283: $i,SV276: $i,SV248: $i] :
      ( ( ( ( SV248
           != ( sum @ SV276 @ SV283 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY456: $i] :
                    ( ~ ( incident_c @ SY456 @ SV248 )
                    | ( incident_c @ SY456 @ SV276 )
                    | ( incident_c @ SY456 @ SV283 ) )
              | ~ ~ ( ~ ! [SY451: $i] :
                          ( ~ ( incident_c @ SY451 @ SV276 )
                          | ( incident_c @ SY451 @ SV248 ) )
                    | ~ ! [SY458: $i] :
                          ( ~ ( incident_c @ SY458 @ SV283 )
                          | ( incident_c @ SY458 @ SV248 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1507]) ).

thf(1536,plain,
    ! [SV268: $i,SV277: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV277 )
          | ~ ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV268 ) )
        = $false )
      | ( ( part_of @ SV277 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1508]) ).

thf(1537,plain,
    ! [SV269: $i,SV278: $i] :
      ( ( ( part_of @ SV278 @ SV269 )
        = $false )
      | ( ( ! [SY453: $i] :
              ( ~ ( incident_c @ SY453 @ SV278 )
              | ( incident_c @ SY453 @ SV269 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1509]) ).

thf(1538,plain,
    ! [SV270: $i,SV284: $i] :
      ( ( ( end_point @ SV284 @ SV270 )
        = $false )
      | ( ( open @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1510]) ).

thf(1539,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) )
        = $true )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1512]) ).

thf(1540,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
        = $true )
      | ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 )
        = $true )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1513]) ).

thf(1541,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
                          | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
                    | ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1514]) ).

thf(1542,plain,
    ! [SV289: $i] :
      ( ( ! [SY462: $i] :
            ( ~ ( end_point @ SV289 @ SY462 )
            | ! [SY463: $i,SY464: $i] :
                ( ~ ( part_of @ SY463 @ SY462 )
                | ~ ( part_of @ SY464 @ SY462 )
                | ~ ( incident_c @ SV289 @ SY463 )
                | ~ ( incident_c @ SV289 @ SY464 )
                | ( part_of @ SY463 @ SY464 )
                | ( part_of @ SY464 @ SY463 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1515]) ).

thf(1543,plain,
    ! [SV290: $i] :
      ( ( ! [SY465: $i] :
            ( ~ ( end_point @ SV290 @ SY465 )
            | ( incident_c @ SV290 @ SY465 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1516]) ).

thf(1544,plain,
    ! [SV262: $i,SV259: $i,SV239: $i,SV251: $i] :
      ( ( ( ~ ( part_of @ SV251 @ SV239 ) )
        = $true )
      | ( ( ~ ( part_of @ SV259 @ SV239 ) )
        = $true )
      | ( ( ~ ( part_of @ SV262 @ SV239 ) )
        = $true )
      | ( ( ! [SY439: $i] :
              ( ~ ( end_point @ SY439 @ SV251 )
              | ~ ( end_point @ SY439 @ SV259 )
              | ~ ( end_point @ SY439 @ SV262 ) ) )
        = $true )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1517]) ).

thf(1545,plain,
    ! [SV263: $i,SV260: $i,SV241: $i,SV252: $i] :
      ( ( ( end_point @ SV252 @ SV241 )
        = $false )
      | ( ( ~ ( end_point @ SV260 @ SV241 ) )
        = $true )
      | ( ( ~ ( end_point @ SV263 @ SV241 ) )
        = $true )
      | ( ( ( SV260 = SV263 )
          | ( SV252 = SV260 )
          | ( SV252 = SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1518]) ).

thf(1546,plain,
    ! [SV242: $i,SV261: $i,SV253: $i,SV291: $i] :
      ( ( ( ~ ( meet @ SV291 @ SV253 @ SV261 ) )
        = $true )
      | ( ( closed @ SV242 )
        = $false )
      | ( ( ( SV242
           != ( sum @ SV253 @ SV261 ) ) )
        = $true )
      | ( ( ! [SY438: $i] :
              ( ~ ( end_point @ SY438 @ SV253 )
              | ( meet @ SY438 @ SV253 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1519]) ).

thf(1547,plain,
    ! [SV265: $i,SV285: $i] :
      ( ( ( end_point @ SV285 @ SV265 )
        = $false )
      | ( ( closed @ SV265 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1520]) ).

thf(1548,plain,
    ! [SV273: $i,SV267: $i] :
      ( ( ( incident_c @ SV267 @ SV273 )
        = $false )
      | ( ( end_point @ SV267 @ SV273 )
        = $true )
      | ( ( inner_point @ SV267 @ SV273 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1521]) ).

thf(1549,plain,
    ! [SV292: $i,SV286: $i] :
      ( ( ~ ( inner_point @ SV286 @ SV292 )
        | ( incident_c @ SV286 @ SV292 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1522]) ).

thf(1550,plain,
    ! [SV293: $i,SV287: $i] :
      ( ( ~ ( inner_point @ SV287 @ SV293 )
        | ~ ( end_point @ SV287 @ SV293 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1523]) ).

thf(1551,plain,
    ! [SV244: $i,SV255: $i] :
      ( ( ( SV255
          = ( sK8_Q @ SV255 @ SV244 ) )
        = $false )
      | ( ( end_point @ SV255 @ SV244 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1524]) ).

thf(1552,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
                    | ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
                  | ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1526]) ).

thf(1553,plain,
    ! [SV294: $i,SV245: $i] :
      ( ( ! [SY466: $i] :
            ( ~ ( meet @ SV245 @ SV294 @ SY466 )
            | ~ ( ~ ! [SY467: $i] :
                      ( ~ ( incident_c @ SY467 @ SV294 )
                      | ~ ( incident_c @ SY467 @ SY466 )
                      | ( end_point @ SY467 @ SV294 ) )
                | ~ ! [SY468: $i] :
                      ( ~ ( incident_c @ SY468 @ SV294 )
                      | ~ ( incident_c @ SY468 @ SY466 )
                      | ( end_point @ SY468 @ SY466 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1527]) ).

thf(1554,plain,
    ! [SV245: $i] :
      ( ( ~ ! [SY397: $i] :
              ( ! [SY398: $i] :
                  ~ ( meet @ SV245 @ SY397 @ SY398 )
              | ( incident_c @ SV245 @ SY397 ) )
        | ~ ! [SY399: $i,SY400: $i] :
              ( ~ ( meet @ SV245 @ SY399 @ SY400 )
              | ( incident_c @ SV245 @ SY400 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1528]) ).

thf(1555,plain,
    ! [SV281: $i,SV246: $i,SV288: $i,SV256: $i] :
      ( ( ( ( SV256 = SV288 )
          | ! [SY461: $i] :
              ( ~ ( end_point @ SV256 @ SY461 )
              | ~ ( part_of @ SY461 @ SV246 )
              | ~ ( end_point @ SV288 @ SY461 )
              | ~ ( inner_point @ SV281 @ SY461 ) ) )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1529]) ).

thf(1556,plain,
    ! [SV256: $i,SV246: $i] :
      ( ( ! [SY430: $i,SY431: $i] :
            ( ~ ( between_c @ SV246 @ SV256 @ SY430 @ SY431 )
            | ( SV256 != SY431 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1530]) ).

thf(1557,plain,
    ! [SV256: $i,SV246: $i] :
      ( ( ! [SY432: $i,SY433: $i] :
            ( ~ ( between_c @ SV246 @ SV256 @ SY432 @ SY433 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) @ SV246 ) )
                      | ~ ( end_point @ SY433 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) )
                | ~ ( inner_point @ SY432 @ ( sK5_Cpp @ SY433 @ SY432 @ SV256 @ SV246 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1531]) ).

thf(1558,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                    | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                    | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) )
          | ~ ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
              | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 )
              | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1534]) ).

thf(1559,plain,
    ! [SV283: $i,SV276: $i,SV248: $i] :
      ( ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY456: $i] :
                    ( ~ ( incident_c @ SY456 @ SV248 )
                    | ( incident_c @ SY456 @ SV276 )
                    | ( incident_c @ SY456 @ SV283 ) )
              | ~ ~ ( ~ ! [SY451: $i] :
                          ( ~ ( incident_c @ SY451 @ SV276 )
                          | ( incident_c @ SY451 @ SV248 ) )
                    | ~ ! [SY458: $i] :
                          ( ~ ( incident_c @ SY458 @ SV283 )
                          | ( incident_c @ SY458 @ SV248 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1535]) ).

thf(1560,plain,
    ! [SV268: $i,SV277: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV277 ) )
        = $false )
      | ( ( part_of @ SV277 @ SV268 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1536]) ).

thf(1561,plain,
    ! [SV268: $i,SV277: $i] :
      ( ( ( ~ ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV268 ) )
        = $false )
      | ( ( part_of @ SV277 @ SV268 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1536]) ).

thf(1562,plain,
    ! [SV269: $i,SV278: $i,SV295: $i] :
      ( ( ( ~ ( incident_c @ SV295 @ SV278 )
          | ( incident_c @ SV295 @ SV269 ) )
        = $true )
      | ( ( part_of @ SV278 @ SV269 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1537]) ).

thf(1563,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 ) )
        = $true )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1539]) ).

thf(1564,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
                      | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
                | ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) ) )
          | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1541]) ).

thf(1565,plain,
    ! [SV296: $i,SV289: $i] :
      ( ( ~ ( end_point @ SV289 @ SV296 )
        | ! [SY469: $i,SY470: $i] :
            ( ~ ( part_of @ SY469 @ SV296 )
            | ~ ( part_of @ SY470 @ SV296 )
            | ~ ( incident_c @ SV289 @ SY469 )
            | ~ ( incident_c @ SV289 @ SY470 )
            | ( part_of @ SY469 @ SY470 )
            | ( part_of @ SY470 @ SY469 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1542]) ).

thf(1566,plain,
    ! [SV297: $i,SV290: $i] :
      ( ( ~ ( end_point @ SV290 @ SV297 )
        | ( incident_c @ SV290 @ SV297 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1543]) ).

thf(1567,plain,
    ! [SV262: $i,SV259: $i,SV239: $i,SV251: $i] :
      ( ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( ~ ( part_of @ SV259 @ SV239 ) )
        = $true )
      | ( ( ~ ( part_of @ SV262 @ SV239 ) )
        = $true )
      | ( ( ! [SY439: $i] :
              ( ~ ( end_point @ SY439 @ SV251 )
              | ~ ( end_point @ SY439 @ SV259 )
              | ~ ( end_point @ SY439 @ SV262 ) ) )
        = $true )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1544]) ).

thf(1568,plain,
    ! [SV263: $i,SV252: $i,SV241: $i,SV260: $i] :
      ( ( ( end_point @ SV260 @ SV241 )
        = $false )
      | ( ( end_point @ SV252 @ SV241 )
        = $false )
      | ( ( ~ ( end_point @ SV263 @ SV241 ) )
        = $true )
      | ( ( ( SV260 = SV263 )
          | ( SV252 = SV260 )
          | ( SV252 = SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1545]) ).

thf(1569,plain,
    ! [SV242: $i,SV261: $i,SV253: $i,SV291: $i] :
      ( ( ( meet @ SV291 @ SV253 @ SV261 )
        = $false )
      | ( ( closed @ SV242 )
        = $false )
      | ( ( ( SV242
           != ( sum @ SV253 @ SV261 ) ) )
        = $true )
      | ( ( ! [SY438: $i] :
              ( ~ ( end_point @ SY438 @ SV253 )
              | ( meet @ SY438 @ SV253 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1546]) ).

thf(1570,plain,
    ! [SV292: $i,SV286: $i] :
      ( ( ( ~ ( inner_point @ SV286 @ SV292 ) )
        = $true )
      | ( ( incident_c @ SV286 @ SV292 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1549]) ).

thf(1571,plain,
    ! [SV293: $i,SV287: $i] :
      ( ( ( ~ ( inner_point @ SV287 @ SV293 ) )
        = $true )
      | ( ( ~ ( end_point @ SV287 @ SV293 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1550]) ).

thf(1572,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
                | ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
          | ~ ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
              | ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1552]) ).

thf(1573,plain,
    ! [SV298: $i,SV294: $i,SV245: $i] :
      ( ( ~ ( meet @ SV245 @ SV294 @ SV298 )
        | ~ ( ~ ! [SY471: $i] :
                  ( ~ ( incident_c @ SY471 @ SV294 )
                  | ~ ( incident_c @ SY471 @ SV298 )
                  | ( end_point @ SY471 @ SV294 ) )
            | ~ ! [SY472: $i] :
                  ( ~ ( incident_c @ SY472 @ SV294 )
                  | ~ ( incident_c @ SY472 @ SV298 )
                  | ( end_point @ SY472 @ SV298 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1553]) ).

thf(1574,plain,
    ! [SV245: $i] :
      ( ( ~ ! [SY397: $i] :
              ( ! [SY398: $i] :
                  ~ ( meet @ SV245 @ SY397 @ SY398 )
              | ( incident_c @ SV245 @ SY397 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1554]) ).

thf(1575,plain,
    ! [SV245: $i] :
      ( ( ~ ! [SY399: $i,SY400: $i] :
              ( ~ ( meet @ SV245 @ SY399 @ SY400 )
              | ( incident_c @ SV245 @ SY400 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1554]) ).

thf(1576,plain,
    ! [SV281: $i,SV246: $i,SV288: $i,SV256: $i] :
      ( ( ( SV256 = SV288 )
        = $true )
      | ( ( ! [SY461: $i] :
              ( ~ ( end_point @ SV256 @ SY461 )
              | ~ ( part_of @ SY461 @ SV246 )
              | ~ ( end_point @ SV288 @ SY461 )
              | ~ ( inner_point @ SV281 @ SY461 ) ) )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1555]) ).

thf(1577,plain,
    ! [SV299: $i,SV256: $i,SV246: $i] :
      ( ( ! [SY473: $i] :
            ( ~ ( between_c @ SV246 @ SV256 @ SV299 @ SY473 )
            | ( SV256 != SY473 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1556]) ).

thf(1578,plain,
    ! [SV300: $i,SV256: $i,SV246: $i] :
      ( ( ! [SY474: $i] :
            ( ~ ( between_c @ SV246 @ SV256 @ SV300 @ SY474 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SY474 @ SV300 @ SV256 @ SV246 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY474 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
                      | ~ ( end_point @ SY474 @ ( sK5_Cpp @ SY474 @ SV300 @ SV256 @ SV246 ) ) )
                | ~ ( inner_point @ SV300 @ ( sK5_Cpp @ SY474 @ SV300 @ SV256 @ SV246 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1557]) ).

thf(1579,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                    | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                    | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1558]) ).

thf(1580,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
              | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 )
              | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1558]) ).

thf(1581,plain,
    ! [SV283: $i,SV276: $i,SV248: $i] :
      ( ( ( ~ ! [SY456: $i] :
                ( ~ ( incident_c @ SY456 @ SV248 )
                | ( incident_c @ SY456 @ SV276 )
                | ( incident_c @ SY456 @ SV283 ) )
          | ~ ~ ( ~ ! [SY451: $i] :
                      ( ~ ( incident_c @ SY451 @ SV276 )
                      | ( incident_c @ SY451 @ SV248 ) )
                | ~ ! [SY458: $i] :
                      ( ~ ( incident_c @ SY458 @ SV283 )
                      | ( incident_c @ SY458 @ SV248 ) ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1559]) ).

thf(1582,plain,
    ! [SV268: $i,SV277: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV277 )
        = $true )
      | ( ( part_of @ SV277 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1560]) ).

thf(1583,plain,
    ! [SV268: $i,SV277: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV268 ) )
        = $true )
      | ( ( part_of @ SV277 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1561]) ).

thf(1584,plain,
    ! [SV269: $i,SV278: $i,SV295: $i] :
      ( ( ( ~ ( incident_c @ SV295 @ SV278 ) )
        = $true )
      | ( ( incident_c @ SV295 @ SV269 )
        = $true )
      | ( ( part_of @ SV278 @ SV269 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1562]) ).

thf(1585,plain,
    ! [SV249: $i,SV258: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV258 )
        = $false )
      | ( ( incident_c @ ( sK6_P @ SV258 @ SV249 ) @ SV249 )
        = $false )
      | ( ( SV249 = SV258 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1563]) ).

thf(1586,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
                      | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
                | ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1564]) ).

thf(1587,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1564]) ).

thf(1588,plain,
    ! [SV296: $i,SV289: $i] :
      ( ( ( ~ ( end_point @ SV289 @ SV296 ) )
        = $true )
      | ( ( ! [SY469: $i,SY470: $i] :
              ( ~ ( part_of @ SY469 @ SV296 )
              | ~ ( part_of @ SY470 @ SV296 )
              | ~ ( incident_c @ SV289 @ SY469 )
              | ~ ( incident_c @ SV289 @ SY470 )
              | ( part_of @ SY469 @ SY470 )
              | ( part_of @ SY470 @ SY469 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1565]) ).

thf(1589,plain,
    ! [SV297: $i,SV290: $i] :
      ( ( ( ~ ( end_point @ SV290 @ SV297 ) )
        = $true )
      | ( ( incident_c @ SV290 @ SV297 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1566]) ).

thf(1590,plain,
    ! [SV262: $i,SV251: $i,SV239: $i,SV259: $i] :
      ( ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( ~ ( part_of @ SV262 @ SV239 ) )
        = $true )
      | ( ( ! [SY439: $i] :
              ( ~ ( end_point @ SY439 @ SV251 )
              | ~ ( end_point @ SY439 @ SV259 )
              | ~ ( end_point @ SY439 @ SV262 ) ) )
        = $true )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1567]) ).

thf(1591,plain,
    ! [SV260: $i,SV252: $i,SV241: $i,SV263: $i] :
      ( ( ( end_point @ SV263 @ SV241 )
        = $false )
      | ( ( end_point @ SV252 @ SV241 )
        = $false )
      | ( ( end_point @ SV260 @ SV241 )
        = $false )
      | ( ( ( SV260 = SV263 )
          | ( SV252 = SV260 )
          | ( SV252 = SV263 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1568]) ).

thf(1592,plain,
    ! [SV291: $i,SV261: $i,SV253: $i,SV242: $i] :
      ( ( ( SV242
          = ( sum @ SV253 @ SV261 ) )
        = $false )
      | ( ( closed @ SV242 )
        = $false )
      | ( ( meet @ SV291 @ SV253 @ SV261 )
        = $false )
      | ( ( ! [SY438: $i] :
              ( ~ ( end_point @ SY438 @ SV253 )
              | ( meet @ SY438 @ SV253 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1569]) ).

thf(1593,plain,
    ! [SV292: $i,SV286: $i] :
      ( ( ( inner_point @ SV286 @ SV292 )
        = $false )
      | ( ( incident_c @ SV286 @ SV292 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1570]) ).

thf(1594,plain,
    ! [SV293: $i,SV287: $i] :
      ( ( ( inner_point @ SV287 @ SV293 )
        = $false )
      | ( ( ~ ( end_point @ SV287 @ SV293 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1571]) ).

thf(1595,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
                | ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1572]) ).

thf(1596,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
              | ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1572]) ).

thf(1597,plain,
    ! [SV298: $i,SV294: $i,SV245: $i] :
      ( ( ( ~ ( meet @ SV245 @ SV294 @ SV298 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY471: $i] :
                    ( ~ ( incident_c @ SY471 @ SV294 )
                    | ~ ( incident_c @ SY471 @ SV298 )
                    | ( end_point @ SY471 @ SV294 ) )
              | ~ ! [SY472: $i] :
                    ( ~ ( incident_c @ SY472 @ SV294 )
                    | ~ ( incident_c @ SY472 @ SV298 )
                    | ( end_point @ SY472 @ SV298 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1573]) ).

thf(1598,plain,
    ! [SV245: $i] :
      ( ( ! [SY397: $i] :
            ( ! [SY398: $i] :
                ~ ( meet @ SV245 @ SY397 @ SY398 )
            | ( incident_c @ SV245 @ SY397 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1574]) ).

thf(1599,plain,
    ! [SV245: $i] :
      ( ( ! [SY399: $i,SY400: $i] :
            ( ~ ( meet @ SV245 @ SY399 @ SY400 )
            | ( incident_c @ SV245 @ SY400 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1575]) ).

thf(1600,plain,
    ! [SV281: $i,SV288: $i,SV246: $i,SV301: $i,SV256: $i] :
      ( ( ( ~ ( end_point @ SV256 @ SV301 )
          | ~ ( part_of @ SV301 @ SV246 )
          | ~ ( end_point @ SV288 @ SV301 )
          | ~ ( inner_point @ SV281 @ SV301 ) )
        = $true )
      | ( ( SV256 = SV288 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1576]) ).

thf(1601,plain,
    ! [SV302: $i,SV299: $i,SV256: $i,SV246: $i] :
      ( ( ~ ( between_c @ SV246 @ SV256 @ SV299 @ SV302 )
        | ( SV256 != SV302 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1577]) ).

thf(1602,plain,
    ! [SV303: $i,SV300: $i,SV256: $i,SV246: $i] :
      ( ( ~ ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
                        | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
                  | ~ ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
            | ~ ( inner_point @ SV300 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1578]) ).

thf(1603,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                  | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
              | ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
                  | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1579]) ).

thf(1604,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
          | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 )
          | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1580]) ).

thf(1605,plain,
    ! [SV283: $i,SV276: $i,SV248: $i] :
      ( ( ( ~ ! [SY456: $i] :
                ( ~ ( incident_c @ SY456 @ SV248 )
                | ( incident_c @ SY456 @ SV276 )
                | ( incident_c @ SY456 @ SV283 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1581]) ).

thf(1606,plain,
    ! [SV283: $i,SV248: $i,SV276: $i] :
      ( ( ( ~ ~ ( ~ ! [SY451: $i] :
                      ( ~ ( incident_c @ SY451 @ SV276 )
                      | ( incident_c @ SY451 @ SV248 ) )
                | ~ ! [SY458: $i] :
                      ( ~ ( incident_c @ SY458 @ SV283 )
                      | ( incident_c @ SY458 @ SV248 ) ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1581]) ).

thf(1607,plain,
    ! [SV268: $i,SV277: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV277 @ SV268 ) @ SV268 )
        = $false )
      | ( ( part_of @ SV277 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1583]) ).

thf(1608,plain,
    ! [SV269: $i,SV278: $i,SV295: $i] :
      ( ( ( incident_c @ SV295 @ SV278 )
        = $false )
      | ( ( incident_c @ SV295 @ SV269 )
        = $true )
      | ( ( part_of @ SV278 @ SV269 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1584]) ).

thf(1609,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                          | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
                    | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
              | ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1586]) ).

thf(1610,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
              | ~ ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1587]) ).

thf(1611,plain,
    ! [SV296: $i,SV289: $i] :
      ( ( ( end_point @ SV289 @ SV296 )
        = $false )
      | ( ( ! [SY469: $i,SY470: $i] :
              ( ~ ( part_of @ SY469 @ SV296 )
              | ~ ( part_of @ SY470 @ SV296 )
              | ~ ( incident_c @ SV289 @ SY469 )
              | ~ ( incident_c @ SV289 @ SY470 )
              | ( part_of @ SY469 @ SY470 )
              | ( part_of @ SY470 @ SY469 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1588]) ).

thf(1612,plain,
    ! [SV297: $i,SV290: $i] :
      ( ( ( end_point @ SV290 @ SV297 )
        = $false )
      | ( ( incident_c @ SV290 @ SV297 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1589]) ).

thf(1613,plain,
    ! [SV259: $i,SV251: $i,SV239: $i,SV262: $i] :
      ( ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( ! [SY439: $i] :
              ( ~ ( end_point @ SY439 @ SV251 )
              | ~ ( end_point @ SY439 @ SV259 )
              | ~ ( end_point @ SY439 @ SV262 ) ) )
        = $true )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1590]) ).

thf(1614,plain,
    ! [SV241: $i,SV252: $i,SV263: $i,SV260: $i] :
      ( ( ( SV260 = SV263 )
        = $true )
      | ( ( ( SV252 = SV260 )
          | ( SV252 = SV263 ) )
        = $true )
      | ( ( end_point @ SV260 @ SV241 )
        = $false )
      | ( ( end_point @ SV252 @ SV241 )
        = $false )
      | ( ( end_point @ SV263 @ SV241 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1591]) ).

thf(1615,plain,
    ! [SV242: $i,SV291: $i,SV261: $i,SV253: $i,SV304: $i] :
      ( ( ( ~ ( end_point @ SV304 @ SV253 )
          | ( meet @ SV304 @ SV253 @ SV261 ) )
        = $true )
      | ( ( meet @ SV291 @ SV253 @ SV261 )
        = $false )
      | ( ( closed @ SV242 )
        = $false )
      | ( ( SV242
          = ( sum @ SV253 @ SV261 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1592]) ).

thf(1616,plain,
    ! [SV293: $i,SV287: $i] :
      ( ( ( end_point @ SV287 @ SV293 )
        = $false )
      | ( ( inner_point @ SV287 @ SV293 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1594]) ).

thf(1617,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
              | ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1595]) ).

thf(1618,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
          | ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1596]) ).

thf(1619,plain,
    ! [SV298: $i,SV294: $i,SV245: $i] :
      ( ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false )
      | ( ( ~ ( ~ ! [SY471: $i] :
                    ( ~ ( incident_c @ SY471 @ SV294 )
                    | ~ ( incident_c @ SY471 @ SV298 )
                    | ( end_point @ SY471 @ SV294 ) )
              | ~ ! [SY472: $i] :
                    ( ~ ( incident_c @ SY472 @ SV294 )
                    | ~ ( incident_c @ SY472 @ SV298 )
                    | ( end_point @ SY472 @ SV298 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1597]) ).

thf(1620,plain,
    ! [SV305: $i,SV245: $i] :
      ( ( ! [SY475: $i] :
            ~ ( meet @ SV245 @ SV305 @ SY475 )
        | ( incident_c @ SV245 @ SV305 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1598]) ).

thf(1621,plain,
    ! [SV306: $i,SV245: $i] :
      ( ( ! [SY476: $i] :
            ( ~ ( meet @ SV245 @ SV306 @ SY476 )
            | ( incident_c @ SV245 @ SY476 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1599]) ).

thf(1622,plain,
    ! [SV281: $i,SV288: $i,SV246: $i,SV301: $i,SV256: $i] :
      ( ( ( ~ ( end_point @ SV256 @ SV301 )
          | ~ ( part_of @ SV301 @ SV246 )
          | ~ ( end_point @ SV288 @ SV301 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV281 @ SV301 ) )
        = $true )
      | ( ( SV256 = SV288 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1600]) ).

thf(1623,plain,
    ! [SV302: $i,SV299: $i,SV256: $i,SV246: $i] :
      ( ( ( ~ ( between_c @ SV246 @ SV256 @ SV299 @ SV302 ) )
        = $true )
      | ( ( ( SV256 != SV302 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1601]) ).

thf(1624,plain,
    ! [SV303: $i,SV300: $i,SV256: $i,SV246: $i] :
      ( ( ( ~ ( between_c @ SV246 @ SV256 @ SV300 @ SV303 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
                    | ~ ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
              | ~ ( inner_point @ SV300 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1602]) ).

thf(1625,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
              | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
          | ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
              | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1603]) ).

thf(1626,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
        = $true )
      | ( ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 )
          | ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1604]) ).

thf(1627,plain,
    ! [SV283: $i,SV276: $i,SV248: $i] :
      ( ( ( ! [SY456: $i] :
              ( ~ ( incident_c @ SY456 @ SV248 )
              | ( incident_c @ SY456 @ SV276 )
              | ( incident_c @ SY456 @ SV283 ) ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1605]) ).

thf(1628,plain,
    ! [SV283: $i,SV248: $i,SV276: $i] :
      ( ( ( ~ ( ~ ! [SY451: $i] :
                    ( ~ ( incident_c @ SY451 @ SV276 )
                    | ( incident_c @ SY451 @ SV248 ) )
              | ~ ! [SY458: $i] :
                    ( ~ ( incident_c @ SY458 @ SV283 )
                    | ( incident_c @ SY458 @ SV248 ) ) ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1606]) ).

thf(1629,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
                | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
          | ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1609]) ).

thf(1630,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
          | ~ ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1610]) ).

thf(1631,plain,
    ! [SV289: $i,SV296: $i,SV307: $i] :
      ( ( ( ! [SY477: $i] :
              ( ~ ( part_of @ SV307 @ SV296 )
              | ~ ( part_of @ SY477 @ SV296 )
              | ~ ( incident_c @ SV289 @ SV307 )
              | ~ ( incident_c @ SV289 @ SY477 )
              | ( part_of @ SV307 @ SY477 )
              | ( part_of @ SY477 @ SV307 ) ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1611]) ).

thf(1632,plain,
    ! [SV239: $i,SV262: $i,SV259: $i,SV251: $i,SV308: $i] :
      ( ( ( ~ ( end_point @ SV308 @ SV251 )
          | ~ ( end_point @ SV308 @ SV259 )
          | ~ ( end_point @ SV308 @ SV262 ) )
        = $true )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1613]) ).

thf(1633,plain,
    ! [SV241: $i,SV263: $i,SV260: $i,SV252: $i] :
      ( ( ( SV252 = SV260 )
        = $true )
      | ( ( SV252 = SV263 )
        = $true )
      | ( ( SV260 = SV263 )
        = $true )
      | ( ( end_point @ SV260 @ SV241 )
        = $false )
      | ( ( end_point @ SV252 @ SV241 )
        = $false )
      | ( ( end_point @ SV263 @ SV241 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1614]) ).

thf(1634,plain,
    ! [SV242: $i,SV291: $i,SV261: $i,SV253: $i,SV304: $i] :
      ( ( ( ~ ( end_point @ SV304 @ SV253 ) )
        = $true )
      | ( ( meet @ SV304 @ SV253 @ SV261 )
        = $true )
      | ( ( meet @ SV291 @ SV253 @ SV261 )
        = $false )
      | ( ( closed @ SV242 )
        = $false )
      | ( ( SV242
          = ( sum @ SV253 @ SV261 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1615]) ).

thf(1635,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
          | ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1617]) ).

thf(1636,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 ) )
        = $true )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1618]) ).

thf(1637,plain,
    ! [SV245: $i,SV298: $i,SV294: $i] :
      ( ( ( ~ ! [SY471: $i] :
                ( ~ ( incident_c @ SY471 @ SV294 )
                | ~ ( incident_c @ SY471 @ SV298 )
                | ( end_point @ SY471 @ SV294 ) )
          | ~ ! [SY472: $i] :
                ( ~ ( incident_c @ SY472 @ SV294 )
                | ~ ( incident_c @ SY472 @ SV298 )
                | ( end_point @ SY472 @ SV298 ) ) )
        = $false )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1619]) ).

thf(1638,plain,
    ! [SV305: $i,SV245: $i] :
      ( ( ( ! [SY475: $i] :
              ~ ( meet @ SV245 @ SV305 @ SY475 ) )
        = $true )
      | ( ( incident_c @ SV245 @ SV305 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1620]) ).

thf(1639,plain,
    ! [SV309: $i,SV306: $i,SV245: $i] :
      ( ( ~ ( meet @ SV245 @ SV306 @ SV309 )
        | ( incident_c @ SV245 @ SV309 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1621]) ).

thf(1640,plain,
    ! [SV281: $i,SV288: $i,SV246: $i,SV301: $i,SV256: $i] :
      ( ( ( ~ ( end_point @ SV256 @ SV301 )
          | ~ ( part_of @ SV301 @ SV246 ) )
        = $true )
      | ( ( ~ ( end_point @ SV288 @ SV301 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV281 @ SV301 ) )
        = $true )
      | ( ( SV256 = SV288 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1622]) ).

thf(1641,plain,
    ! [SV302: $i,SV299: $i,SV256: $i,SV246: $i] :
      ( ( ( between_c @ SV246 @ SV256 @ SV299 @ SV302 )
        = $false )
      | ( ( ( SV256 != SV302 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1623]) ).

thf(1642,plain,
    ! [SV303: $i,SV300: $i,SV256: $i,SV246: $i] :
      ( ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
                    | ~ ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
              | ~ ( inner_point @ SV300 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1624]) ).

thf(1643,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
              | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1644,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
              | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1645,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1626]) ).

thf(1646,plain,
    ! [SV283: $i,SV276: $i,SV248: $i,SV310: $i] :
      ( ( ( ~ ( incident_c @ SV310 @ SV248 )
          | ( incident_c @ SV310 @ SV276 )
          | ( incident_c @ SV310 @ SV283 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1627]) ).

thf(1647,plain,
    ! [SV283: $i,SV248: $i,SV276: $i] :
      ( ( ( ~ ! [SY451: $i] :
                ( ~ ( incident_c @ SY451 @ SV276 )
                | ( incident_c @ SY451 @ SV248 ) )
          | ~ ! [SY458: $i] :
                ( ~ ( incident_c @ SY458 @ SV283 )
                | ( incident_c @ SY458 @ SV248 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1628]) ).

thf(1648,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
                | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1629]) ).

thf(1649,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( ~ ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1629]) ).

thf(1650,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1630]) ).

thf(1651,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1630]) ).

thf(1652,plain,
    ! [SV289: $i,SV311: $i,SV296: $i,SV307: $i] :
      ( ( ( ~ ( part_of @ SV307 @ SV296 )
          | ~ ( part_of @ SV311 @ SV296 )
          | ~ ( incident_c @ SV289 @ SV307 )
          | ~ ( incident_c @ SV289 @ SV311 )
          | ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1631]) ).

thf(1653,plain,
    ! [SV239: $i,SV262: $i,SV259: $i,SV251: $i,SV308: $i] :
      ( ( ( ~ ( end_point @ SV308 @ SV251 )
          | ~ ( end_point @ SV308 @ SV259 ) )
        = $true )
      | ( ( ~ ( end_point @ SV308 @ SV262 ) )
        = $true )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1632]) ).

thf(1654,plain,
    ! [SV242: $i,SV291: $i,SV261: $i,SV253: $i,SV304: $i] :
      ( ( ( end_point @ SV304 @ SV253 )
        = $false )
      | ( ( meet @ SV304 @ SV253 @ SV261 )
        = $true )
      | ( ( meet @ SV291 @ SV253 @ SV261 )
        = $false )
      | ( ( closed @ SV242 )
        = $false )
      | ( ( SV242
          = ( sum @ SV253 @ SV261 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1634]) ).

thf(1655,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1635]) ).

thf(1656,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1635]) ).

thf(1657,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $false )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1636]) ).

thf(1658,plain,
    ! [SV245: $i,SV298: $i,SV294: $i] :
      ( ( ( ~ ! [SY471: $i] :
                ( ~ ( incident_c @ SY471 @ SV294 )
                | ~ ( incident_c @ SY471 @ SV298 )
                | ( end_point @ SY471 @ SV294 ) ) )
        = $false )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1659,plain,
    ! [SV245: $i,SV298: $i,SV294: $i] :
      ( ( ( ~ ! [SY472: $i] :
                ( ~ ( incident_c @ SY472 @ SV294 )
                | ~ ( incident_c @ SY472 @ SV298 )
                | ( end_point @ SY472 @ SV298 ) ) )
        = $false )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1660,plain,
    ! [SV312: $i,SV305: $i,SV245: $i] :
      ( ( ( ~ ( meet @ SV245 @ SV305 @ SV312 ) )
        = $true )
      | ( ( incident_c @ SV245 @ SV305 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1638]) ).

thf(1661,plain,
    ! [SV309: $i,SV306: $i,SV245: $i] :
      ( ( ( ~ ( meet @ SV245 @ SV306 @ SV309 ) )
        = $true )
      | ( ( incident_c @ SV245 @ SV309 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1639]) ).

thf(1662,plain,
    ! [SV281: $i,SV288: $i,SV246: $i,SV301: $i,SV256: $i] :
      ( ( ( ~ ( end_point @ SV256 @ SV301 ) )
        = $true )
      | ( ( ~ ( part_of @ SV301 @ SV246 ) )
        = $true )
      | ( ( ~ ( end_point @ SV288 @ SV301 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV281 @ SV301 ) )
        = $true )
      | ( ( SV256 = SV288 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1640]) ).

thf(1663,plain,
    ! [SV299: $i,SV246: $i,SV302: $i,SV256: $i] :
      ( ( ( SV256 = SV302 )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV299 @ SV302 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1641]) ).

thf(1664,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
                | ~ ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
          | ~ ( inner_point @ SV300 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1642]) ).

thf(1665,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
          | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1643]) ).

thf(1666,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
          | ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1644]) ).

thf(1667,plain,
    ! [SV283: $i,SV276: $i,SV248: $i,SV310: $i] :
      ( ( ( ~ ( incident_c @ SV310 @ SV248 ) )
        = $true )
      | ( ( ( incident_c @ SV310 @ SV276 )
          | ( incident_c @ SV310 @ SV283 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1646]) ).

thf(1668,plain,
    ! [SV283: $i,SV248: $i,SV276: $i] :
      ( ( ( ~ ! [SY451: $i] :
                ( ~ ( incident_c @ SY451 @ SV276 )
                | ( incident_c @ SY451 @ SV248 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1647]) ).

thf(1669,plain,
    ! [SV276: $i,SV248: $i,SV283: $i] :
      ( ( ( ~ ! [SY458: $i] :
                ( ~ ( incident_c @ SY458 @ SV283 )
                | ( incident_c @ SY458 @ SV248 ) ) )
        = $false )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1647]) ).

thf(1670,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                    | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
              | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1648]) ).

thf(1671,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1649]) ).

thf(1672,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1650]) ).

thf(1673,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1651]) ).

thf(1674,plain,
    ! [SV289: $i,SV311: $i,SV296: $i,SV307: $i] :
      ( ( ( ~ ( part_of @ SV307 @ SV296 )
          | ~ ( part_of @ SV311 @ SV296 )
          | ~ ( incident_c @ SV289 @ SV307 )
          | ~ ( incident_c @ SV289 @ SV311 ) )
        = $true )
      | ( ( ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1652]) ).

thf(1675,plain,
    ! [SV239: $i,SV262: $i,SV259: $i,SV251: $i,SV308: $i] :
      ( ( ( ~ ( end_point @ SV308 @ SV251 ) )
        = $true )
      | ( ( ~ ( end_point @ SV308 @ SV259 ) )
        = $true )
      | ( ( ~ ( end_point @ SV308 @ SV262 ) )
        = $true )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1653]) ).

thf(1676,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1655]) ).

thf(1677,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1656]) ).

thf(1678,plain,
    ! [SV245: $i,SV274: $i,SV280: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV274 )
          | ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1657]) ).

thf(1679,plain,
    ! [SV245: $i,SV298: $i,SV294: $i] :
      ( ( ( ! [SY471: $i] :
              ( ~ ( incident_c @ SY471 @ SV294 )
              | ~ ( incident_c @ SY471 @ SV298 )
              | ( end_point @ SY471 @ SV294 ) ) )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1658]) ).

thf(1680,plain,
    ! [SV245: $i,SV298: $i,SV294: $i] :
      ( ( ( ! [SY472: $i] :
              ( ~ ( incident_c @ SY472 @ SV294 )
              | ~ ( incident_c @ SY472 @ SV298 )
              | ( end_point @ SY472 @ SV298 ) ) )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1659]) ).

thf(1681,plain,
    ! [SV312: $i,SV305: $i,SV245: $i] :
      ( ( ( meet @ SV245 @ SV305 @ SV312 )
        = $false )
      | ( ( incident_c @ SV245 @ SV305 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1660]) ).

thf(1682,plain,
    ! [SV309: $i,SV306: $i,SV245: $i] :
      ( ( ( meet @ SV245 @ SV306 @ SV309 )
        = $false )
      | ( ( incident_c @ SV245 @ SV309 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1661]) ).

thf(1683,plain,
    ! [SV281: $i,SV288: $i,SV246: $i,SV301: $i,SV256: $i] :
      ( ( ( end_point @ SV256 @ SV301 )
        = $false )
      | ( ( ~ ( part_of @ SV301 @ SV246 ) )
        = $true )
      | ( ( ~ ( end_point @ SV288 @ SV301 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV281 @ SV301 ) )
        = $true )
      | ( ( SV256 = SV288 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1662]) ).

thf(1684,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
                | ~ ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1664]) ).

thf(1685,plain,
    ! [SV246: $i,SV256: $i,SV303: $i,SV300: $i] :
      ( ( ( ~ ( inner_point @ SV300 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1664]) ).

thf(1686,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1665]) ).

thf(1687,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1666]) ).

thf(1688,plain,
    ! [SV283: $i,SV276: $i,SV248: $i,SV310: $i] :
      ( ( ( incident_c @ SV310 @ SV248 )
        = $false )
      | ( ( ( incident_c @ SV310 @ SV276 )
          | ( incident_c @ SV310 @ SV283 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1667]) ).

thf(1689,plain,
    ! [SV283: $i,SV248: $i,SV276: $i] :
      ( ( ( ! [SY451: $i] :
              ( ~ ( incident_c @ SY451 @ SV276 )
              | ( incident_c @ SY451 @ SV248 ) ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1668]) ).

thf(1690,plain,
    ! [SV276: $i,SV248: $i,SV283: $i] :
      ( ( ( ! [SY458: $i] :
              ( ~ ( incident_c @ SY458 @ SV283 )
              | ( incident_c @ SY458 @ SV248 ) ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1669]) ).

thf(1691,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
          | ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1670]) ).

thf(1692,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( incident_c @ SV272 @ SV279 )
        = $false )
      | ( ( incident_c @ SV272 @ ( sK16_SY69 @ SV279 @ SV272 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1671]) ).

thf(1693,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1672]) ).

thf(1694,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1673]) ).

thf(1695,plain,
    ! [SV289: $i,SV311: $i,SV296: $i,SV307: $i] :
      ( ( ( ~ ( part_of @ SV307 @ SV296 )
          | ~ ( part_of @ SV311 @ SV296 )
          | ~ ( incident_c @ SV289 @ SV307 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV289 @ SV311 ) )
        = $true )
      | ( ( ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1674]) ).

thf(1696,plain,
    ! [SV239: $i,SV262: $i,SV259: $i,SV251: $i,SV308: $i] :
      ( ( ( end_point @ SV308 @ SV251 )
        = $false )
      | ( ( ~ ( end_point @ SV308 @ SV259 ) )
        = $true )
      | ( ( ~ ( end_point @ SV308 @ SV262 ) )
        = $true )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1675]) ).

thf(1697,plain,
    ! [SV280: $i,SV274: $i,SV245: $i] :
      ( ( ( ~ ( incident_c @ SV245 @ SV274 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1676]) ).

thf(1698,plain,
    ! [SV280: $i,SV274: $i,SV245: $i] :
      ( ( ( ~ ( incident_c @ SV245 @ SV274 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1677]) ).

thf(1699,plain,
    ! [SV280: $i,SV274: $i,SV245: $i] :
      ( ( ( ~ ( incident_c @ SV245 @ SV274 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 )
        = $false )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1678]) ).

thf(1700,plain,
    ! [SV245: $i,SV298: $i,SV294: $i,SV313: $i] :
      ( ( ( ~ ( incident_c @ SV313 @ SV294 )
          | ~ ( incident_c @ SV313 @ SV298 )
          | ( end_point @ SV313 @ SV294 ) )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1679]) ).

thf(1701,plain,
    ! [SV245: $i,SV298: $i,SV294: $i,SV314: $i] :
      ( ( ( ~ ( incident_c @ SV314 @ SV294 )
          | ~ ( incident_c @ SV314 @ SV298 )
          | ( end_point @ SV314 @ SV298 ) )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1680]) ).

thf(1702,plain,
    ! [SV281: $i,SV288: $i,SV256: $i,SV246: $i,SV301: $i] :
      ( ( ( part_of @ SV301 @ SV246 )
        = $false )
      | ( ( end_point @ SV256 @ SV301 )
        = $false )
      | ( ( ~ ( end_point @ SV288 @ SV301 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV281 @ SV301 ) )
        = $true )
      | ( ( SV256 = SV288 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1683]) ).

thf(1703,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
                    | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
              | ~ ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) ) )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1684]) ).

thf(1704,plain,
    ! [SV246: $i,SV256: $i,SV303: $i,SV300: $i] :
      ( ( ( inner_point @ SV300 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1685]) ).

thf(1705,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1686]) ).

thf(1706,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1687]) ).

thf(1707,plain,
    ! [SV248: $i,SV283: $i,SV276: $i,SV310: $i] :
      ( ( ( incident_c @ SV310 @ SV276 )
        = $true )
      | ( ( incident_c @ SV310 @ SV283 )
        = $true )
      | ( ( incident_c @ SV310 @ SV248 )
        = $false )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1688]) ).

thf(1708,plain,
    ! [SV283: $i,SV248: $i,SV276: $i,SV315: $i] :
      ( ( ( ~ ( incident_c @ SV315 @ SV276 )
          | ( incident_c @ SV315 @ SV248 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1689]) ).

thf(1709,plain,
    ! [SV276: $i,SV248: $i,SV283: $i,SV316: $i] :
      ( ( ( ~ ( incident_c @ SV316 @ SV283 )
          | ( incident_c @ SV316 @ SV248 ) )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1690]) ).

thf(1710,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
                | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1691]) ).

thf(1711,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( ~ ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1691]) ).

thf(1712,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( incident_c @ SV272 @ SV279 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ ( sK16_SY69 @ SV279 @ SV272 ) )
        = $false )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1693]) ).

thf(1713,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( incident_c @ SV272 @ SV279 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ ( sK15_C1 @ SV279 @ SV272 ) )
        = $false )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1694]) ).

thf(1714,plain,
    ! [SV289: $i,SV311: $i,SV296: $i,SV307: $i] :
      ( ( ( ~ ( part_of @ SV307 @ SV296 )
          | ~ ( part_of @ SV311 @ SV296 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV289 @ SV307 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV289 @ SV311 ) )
        = $true )
      | ( ( ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1695]) ).

thf(1715,plain,
    ! [SV239: $i,SV262: $i,SV251: $i,SV259: $i,SV308: $i] :
      ( ( ( end_point @ SV308 @ SV259 )
        = $false )
      | ( ( end_point @ SV308 @ SV251 )
        = $false )
      | ( ( ~ ( end_point @ SV308 @ SV262 ) )
        = $true )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1696]) ).

thf(1716,plain,
    ! [SV280: $i,SV274: $i,SV245: $i] :
      ( ( ( incident_c @ SV245 @ SV274 )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1697]) ).

thf(1717,plain,
    ! [SV280: $i,SV274: $i,SV245: $i] :
      ( ( ( incident_c @ SV245 @ SV274 )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1698]) ).

thf(1718,plain,
    ! [SV280: $i,SV274: $i,SV245: $i] :
      ( ( ( incident_c @ SV245 @ SV274 )
        = $false )
      | ( ( ~ ( incident_c @ SV245 @ SV280 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 )
        = $false )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1699]) ).

thf(1719,plain,
    ! [SV245: $i,SV298: $i,SV294: $i,SV313: $i] :
      ( ( ( ~ ( incident_c @ SV313 @ SV294 )
          | ~ ( incident_c @ SV313 @ SV298 ) )
        = $true )
      | ( ( end_point @ SV313 @ SV294 )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1700]) ).

thf(1720,plain,
    ! [SV245: $i,SV298: $i,SV294: $i,SV314: $i] :
      ( ( ( ~ ( incident_c @ SV314 @ SV294 )
          | ~ ( incident_c @ SV314 @ SV298 ) )
        = $true )
      | ( ( end_point @ SV314 @ SV298 )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1701]) ).

thf(1721,plain,
    ! [SV281: $i,SV246: $i,SV256: $i,SV301: $i,SV288: $i] :
      ( ( ( end_point @ SV288 @ SV301 )
        = $false )
      | ( ( end_point @ SV256 @ SV301 )
        = $false )
      | ( ( part_of @ SV301 @ SV246 )
        = $false )
      | ( ( ~ ( inner_point @ SV281 @ SV301 ) )
        = $true )
      | ( ( SV256 = SV288 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1702]) ).

thf(1722,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
          | ~ ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1703]) ).

thf(1723,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV275 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
        = $false )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1705]) ).

thf(1724,plain,
    ! [SV248: $i,SV275: $i,SV282: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV282 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV282 @ SV275 @ SV248 ) @ SV248 )
        = $false )
      | ( ( SV248
          = ( sum @ SV275 @ SV282 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1706]) ).

thf(1725,plain,
    ! [SV283: $i,SV248: $i,SV276: $i,SV315: $i] :
      ( ( ( ~ ( incident_c @ SV315 @ SV276 ) )
        = $true )
      | ( ( incident_c @ SV315 @ SV248 )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1708]) ).

thf(1726,plain,
    ! [SV276: $i,SV248: $i,SV283: $i,SV316: $i] :
      ( ( ( ~ ( incident_c @ SV316 @ SV283 ) )
        = $true )
      | ( ( incident_c @ SV316 @ SV248 )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1709]) ).

thf(1727,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
              | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1710]) ).

thf(1728,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1711]) ).

thf(1729,plain,
    ! [SV289: $i,SV311: $i,SV296: $i,SV307: $i] :
      ( ( ( ~ ( part_of @ SV307 @ SV296 ) )
        = $true )
      | ( ( ~ ( part_of @ SV311 @ SV296 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV289 @ SV307 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV289 @ SV311 ) )
        = $true )
      | ( ( ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1714]) ).

thf(1730,plain,
    ! [SV239: $i,SV259: $i,SV251: $i,SV262: $i,SV308: $i] :
      ( ( ( end_point @ SV308 @ SV262 )
        = $false )
      | ( ( end_point @ SV308 @ SV251 )
        = $false )
      | ( ( end_point @ SV308 @ SV259 )
        = $false )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( ( part_of @ SV262 @ SV251 )
          | ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1715]) ).

thf(1731,plain,
    ! [SV274: $i,SV280: $i,SV245: $i] :
      ( ( ( incident_c @ SV245 @ SV280 )
        = $false )
      | ( ( incident_c @ SV245 @ SV274 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1716]) ).

thf(1732,plain,
    ! [SV274: $i,SV280: $i,SV245: $i] :
      ( ( ( incident_c @ SV245 @ SV280 )
        = $false )
      | ( ( incident_c @ SV245 @ SV274 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 )
        = $true )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1717]) ).

thf(1733,plain,
    ! [SV274: $i,SV280: $i,SV245: $i] :
      ( ( ( incident_c @ SV245 @ SV280 )
        = $false )
      | ( ( incident_c @ SV245 @ SV274 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV274 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV280 @ SV274 @ SV245 ) @ SV280 )
        = $false )
      | ( ( meet @ SV245 @ SV274 @ SV280 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1718]) ).

thf(1734,plain,
    ! [SV245: $i,SV298: $i,SV294: $i,SV313: $i] :
      ( ( ( ~ ( incident_c @ SV313 @ SV294 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV313 @ SV298 ) )
        = $true )
      | ( ( end_point @ SV313 @ SV294 )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1719]) ).

thf(1735,plain,
    ! [SV245: $i,SV298: $i,SV294: $i,SV314: $i] :
      ( ( ( ~ ( incident_c @ SV314 @ SV294 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV314 @ SV298 ) )
        = $true )
      | ( ( end_point @ SV314 @ SV298 )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1720]) ).

thf(1736,plain,
    ! [SV288: $i,SV256: $i,SV246: $i,SV301: $i,SV281: $i] :
      ( ( ( inner_point @ SV281 @ SV301 )
        = $false )
      | ( ( part_of @ SV301 @ SV246 )
        = $false )
      | ( ( end_point @ SV256 @ SV301 )
        = $false )
      | ( ( end_point @ SV288 @ SV301 )
        = $false )
      | ( ( SV256 = SV288 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV281 @ SV288 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1721]) ).

thf(1737,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1722]) ).

thf(1738,plain,
    ! [SV246: $i,SV256: $i,SV300: $i,SV303: $i] :
      ( ( ( ~ ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1722]) ).

thf(1739,plain,
    ! [SV283: $i,SV248: $i,SV276: $i,SV315: $i] :
      ( ( ( incident_c @ SV315 @ SV276 )
        = $false )
      | ( ( incident_c @ SV315 @ SV248 )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1725]) ).

thf(1740,plain,
    ! [SV276: $i,SV248: $i,SV283: $i,SV316: $i] :
      ( ( ( incident_c @ SV316 @ SV283 )
        = $false )
      | ( ( incident_c @ SV316 @ SV248 )
        = $true )
      | ( ( SV248
          = ( sum @ SV276 @ SV283 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1726]) ).

thf(1741,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
          | ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1727]) ).

thf(1742,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( incident_c @ SV272 @ SV279 )
        = $false )
      | ( ( incident_c @ SV272 @ ( sK15_C1 @ SV279 @ SV272 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1728]) ).

thf(1743,plain,
    ! [SV289: $i,SV311: $i,SV296: $i,SV307: $i] :
      ( ( ( part_of @ SV307 @ SV296 )
        = $false )
      | ( ( ~ ( part_of @ SV311 @ SV296 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV289 @ SV307 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV289 @ SV311 ) )
        = $true )
      | ( ( ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1729]) ).

thf(1744,plain,
    ! [SV308: $i,SV239: $i,SV259: $i,SV251: $i,SV262: $i] :
      ( ( ( part_of @ SV262 @ SV251 )
        = $true )
      | ( ( ( part_of @ SV251 @ SV262 )
          | ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( end_point @ SV308 @ SV259 )
        = $false )
      | ( ( end_point @ SV308 @ SV251 )
        = $false )
      | ( ( end_point @ SV308 @ SV262 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1730]) ).

thf(1745,plain,
    ! [SV245: $i,SV298: $i,SV294: $i,SV313: $i] :
      ( ( ( incident_c @ SV313 @ SV294 )
        = $false )
      | ( ( ~ ( incident_c @ SV313 @ SV298 ) )
        = $true )
      | ( ( end_point @ SV313 @ SV294 )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1734]) ).

thf(1746,plain,
    ! [SV245: $i,SV298: $i,SV294: $i,SV314: $i] :
      ( ( ( incident_c @ SV314 @ SV294 )
        = $false )
      | ( ( ~ ( incident_c @ SV314 @ SV298 ) )
        = $true )
      | ( ( end_point @ SV314 @ SV298 )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1735]) ).

thf(1747,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( ~ ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
              | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) ) )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1737]) ).

thf(1748,plain,
    ! [SV246: $i,SV256: $i,SV300: $i,SV303: $i] :
      ( ( ( end_point @ SV303 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1738]) ).

thf(1749,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1741]) ).

thf(1750,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1741]) ).

thf(1751,plain,
    ! [SV289: $i,SV307: $i,SV296: $i,SV311: $i] :
      ( ( ( part_of @ SV311 @ SV296 )
        = $false )
      | ( ( part_of @ SV307 @ SV296 )
        = $false )
      | ( ( ~ ( incident_c @ SV289 @ SV307 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV289 @ SV311 ) )
        = $true )
      | ( ( ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1743]) ).

thf(1752,plain,
    ! [SV308: $i,SV239: $i,SV259: $i,SV262: $i,SV251: $i] :
      ( ( ( part_of @ SV251 @ SV262 )
        = $true )
      | ( ( ( part_of @ SV259 @ SV251 )
          | ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true )
      | ( ( part_of @ SV262 @ SV251 )
        = $true )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( end_point @ SV308 @ SV259 )
        = $false )
      | ( ( end_point @ SV308 @ SV251 )
        = $false )
      | ( ( end_point @ SV308 @ SV262 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1744]) ).

thf(1753,plain,
    ! [SV245: $i,SV294: $i,SV298: $i,SV313: $i] :
      ( ( ( incident_c @ SV313 @ SV298 )
        = $false )
      | ( ( incident_c @ SV313 @ SV294 )
        = $false )
      | ( ( end_point @ SV313 @ SV294 )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1745]) ).

thf(1754,plain,
    ! [SV245: $i,SV294: $i,SV298: $i,SV314: $i] :
      ( ( ( incident_c @ SV314 @ SV298 )
        = $false )
      | ( ( incident_c @ SV314 @ SV294 )
        = $false )
      | ( ( end_point @ SV314 @ SV298 )
        = $true )
      | ( ( meet @ SV245 @ SV294 @ SV298 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1746]) ).

thf(1755,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
          | ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1747]) ).

thf(1756,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1749]) ).

thf(1757,plain,
    ! [SV272: $i,SV279: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 )
        = $true )
      | ( ( ~ ( incident_c @ SV272 @ SV279 ) )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1750]) ).

thf(1758,plain,
    ! [SV311: $i,SV296: $i,SV307: $i,SV289: $i] :
      ( ( ( incident_c @ SV289 @ SV307 )
        = $false )
      | ( ( part_of @ SV307 @ SV296 )
        = $false )
      | ( ( part_of @ SV311 @ SV296 )
        = $false )
      | ( ( ~ ( incident_c @ SV289 @ SV311 ) )
        = $true )
      | ( ( ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1751]) ).

thf(1759,plain,
    ! [SV308: $i,SV239: $i,SV262: $i,SV251: $i,SV259: $i] :
      ( ( ( part_of @ SV259 @ SV251 )
        = $true )
      | ( ( ( part_of @ SV251 @ SV259 )
          | ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true )
      | ( ( part_of @ SV251 @ SV262 )
        = $true )
      | ( ( part_of @ SV262 @ SV251 )
        = $true )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( end_point @ SV308 @ SV259 )
        = $false )
      | ( ( end_point @ SV308 @ SV251 )
        = $false )
      | ( ( end_point @ SV308 @ SV262 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1752]) ).

thf(1760,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( ~ ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1755]) ).

thf(1761,plain,
    ! [SV246: $i,SV256: $i,SV300: $i,SV303: $i] :
      ( ( ( ~ ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 ) )
        = $false )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1755]) ).

thf(1762,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( incident_c @ SV272 @ SV279 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV279 @ SV272 ) @ SV279 )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1756]) ).

thf(1763,plain,
    ! [SV279: $i,SV272: $i] :
      ( ( ( incident_c @ SV272 @ SV279 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV279 @ SV272 ) @ SV279 )
        = $true )
      | ( ( end_point @ SV272 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1757]) ).

thf(1764,plain,
    ! [SV307: $i,SV296: $i,SV311: $i,SV289: $i] :
      ( ( ( incident_c @ SV289 @ SV311 )
        = $false )
      | ( ( part_of @ SV311 @ SV296 )
        = $false )
      | ( ( part_of @ SV307 @ SV296 )
        = $false )
      | ( ( incident_c @ SV289 @ SV307 )
        = $false )
      | ( ( ( part_of @ SV307 @ SV311 )
          | ( part_of @ SV311 @ SV307 ) )
        = $true )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1758]) ).

thf(1765,plain,
    ! [SV308: $i,SV239: $i,SV262: $i,SV259: $i,SV251: $i] :
      ( ( ( part_of @ SV251 @ SV259 )
        = $true )
      | ( ( ( part_of @ SV259 @ SV262 )
          | ( part_of @ SV262 @ SV259 ) )
        = $true )
      | ( ( part_of @ SV259 @ SV251 )
        = $true )
      | ( ( part_of @ SV251 @ SV262 )
        = $true )
      | ( ( part_of @ SV262 @ SV251 )
        = $true )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( end_point @ SV308 @ SV259 )
        = $false )
      | ( ( end_point @ SV308 @ SV251 )
        = $false )
      | ( ( end_point @ SV308 @ SV262 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1759]) ).

thf(1766,plain,
    ! [SV246: $i,SV300: $i,SV303: $i,SV256: $i] :
      ( ( ( end_point @ SV256 @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1760]) ).

thf(1767,plain,
    ! [SV246: $i,SV256: $i,SV300: $i,SV303: $i] :
      ( ( ( part_of @ ( sK5_Cpp @ SV303 @ SV300 @ SV256 @ SV246 ) @ SV246 )
        = $true )
      | ( ( between_c @ SV246 @ SV256 @ SV300 @ SV303 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1761]) ).

thf(1768,plain,
    ! [SV296: $i,SV289: $i,SV311: $i,SV307: $i] :
      ( ( ( part_of @ SV307 @ SV311 )
        = $true )
      | ( ( part_of @ SV311 @ SV307 )
        = $true )
      | ( ( incident_c @ SV289 @ SV307 )
        = $false )
      | ( ( part_of @ SV307 @ SV296 )
        = $false )
      | ( ( part_of @ SV311 @ SV296 )
        = $false )
      | ( ( incident_c @ SV289 @ SV311 )
        = $false )
      | ( ( end_point @ SV289 @ SV296 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1764]) ).

thf(1769,plain,
    ! [SV308: $i,SV239: $i,SV251: $i,SV262: $i,SV259: $i] :
      ( ( ( part_of @ SV259 @ SV262 )
        = $true )
      | ( ( part_of @ SV262 @ SV259 )
        = $true )
      | ( ( part_of @ SV251 @ SV259 )
        = $true )
      | ( ( part_of @ SV259 @ SV251 )
        = $true )
      | ( ( part_of @ SV251 @ SV262 )
        = $true )
      | ( ( part_of @ SV262 @ SV251 )
        = $true )
      | ( ( part_of @ SV262 @ SV239 )
        = $false )
      | ( ( part_of @ SV251 @ SV239 )
        = $false )
      | ( ( part_of @ SV259 @ SV239 )
        = $false )
      | ( ( end_point @ SV308 @ SV259 )
        = $false )
      | ( ( end_point @ SV308 @ SV251 )
        = $false )
      | ( ( end_point @ SV308 @ SV262 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1765]) ).

thf(1770,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[1365,1769,1768,1767,1766,1763,1762,1754,1753,1748,1742,1740,1739,1736,1733,1732,1731,1724,1723,1713,1712,1707,1704,1692,1682,1681,1663,1654,1645,1633,1616,1612,1608,1607,1593,1585,1582,1551,1548,1547,1540,1538,1533,1532,1525,1511,1469,1467,1463,1380,1366]) ).

thf(1771,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK18_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK18_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)],[75]) ).

thf(1772,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK17_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)],[74]) ).

thf(1773,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK15_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK16_SY69 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK15_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK15_C1 @ C @ P ) @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK16_SY69 @ C @ P ) @ ( sK15_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)],[73]) ).

thf(1774,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)],[72]) ).

thf(1775,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK14_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK14_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)],[71]) ).

thf(1776,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK13_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(1777,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK12_P @ C ) @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(1778,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(1779,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)],[67]) ).

thf(1780,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK11_P @ C ) @ C ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(1781,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) )
            & ( meet @ P @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(1782,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)],[64]) ).

thf(1783,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK8_Q @ P @ C ) )
            & ( end_point @ ( sK8_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(1784,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)],[62]) ).

thf(1785,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK7_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(1786,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(1787,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 @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK5_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK5_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(1788,plain,
    ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ sK4_SY67 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(1789,plain,
    ( ( sK3_SY65 = sK4_SY67 )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(1790,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                            | ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ~ ( end_point @ ( sK14_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)],[1775]) ).

thf(1791,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX1 @ SX0 )
          | ~ ( ~ ( ( SX1
                   != ( sK8_Q @ SX1 @ SX0 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1783]) ).

thf(1792,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                          | ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ( incident_c @ ( sK17_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)],[1772]) ).

thf(1793,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 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
                                  | ~ ( end_point @ SX3 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ( inner_point @ SX2 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1787]) ).

thf(1794,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)],[1774]) ).

thf(1795,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( closed @ SX0 )
                | ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
                | ( closed @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1776]) ).

thf(1796,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                                | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                          | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                          | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[1773]) ).

thf(1797,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1786]) ).

thf(1798,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                    | ~ ~ ( incident_c @ ( sK18_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)],[1771]) ).

thf(1799,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX1 @ SX0 )
          | ~ ( ( SX0
               != ( sum @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) )
              | ~ ( meet @ SX1 @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1781]) ).

thf(1800,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 )
                | ( open @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( open @ SX0 )
                | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1777]) ).

thf(1801,plain,
    ! [SV317: $i] :
      ( ( ! [SY478: $i] :
            ( ( SY478 = SV317 )
            | ~ ( part_of @ SY478 @ SV317 )
            | ( open @ SY478 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1778]) ).

thf(1802,plain,
    ! [SV318: $i] :
      ( ( ! [SY479: $i,SY480: $i,SY481: $i] :
            ( ~ ( part_of @ SY479 @ SV318 )
            | ~ ( part_of @ SY480 @ SV318 )
            | ~ ( part_of @ SY481 @ SV318 )
            | ! [P: $i] :
                ( ~ ( end_point @ P @ SY479 )
                | ~ ( end_point @ P @ SY480 )
                | ~ ( end_point @ P @ SY481 ) )
            | ( part_of @ SY481 @ SY479 )
            | ( part_of @ SY479 @ SY481 )
            | ( part_of @ SY480 @ SY479 )
            | ( part_of @ SY479 @ SY480 )
            | ( part_of @ SY480 @ SY481 )
            | ( part_of @ SY481 @ SY480 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1779]) ).

thf(1803,plain,
    ! [SV319: $i] :
      ( ( inner_point @ ( sK11_P @ SV319 ) @ SV319 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1780]) ).

thf(1804,plain,
    ! [SV320: $i] :
      ( ( ! [SY483: $i,SY484: $i,SY485: $i] :
            ( ~ ( end_point @ SY483 @ SV320 )
            | ~ ( end_point @ SY484 @ SV320 )
            | ~ ( end_point @ SY485 @ SV320 )
            | ( SY484 = SY485 )
            | ( SY483 = SY484 )
            | ( SY483 = SY485 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1782]) ).

thf(1805,plain,
    ! [SV321: $i] :
      ( ( ! [SY486: $i,SY487: $i] :
            ( ~ ( closed @ SV321 )
            | ! [P: $i] :
                ~ ( meet @ P @ SY486 @ SY487 )
            | ( SV321
             != ( sum @ SY486 @ SY487 ) )
            | ! [Q: $i] :
                ( ~ ( end_point @ Q @ SY486 )
                | ( meet @ Q @ SY486 @ SY487 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1784]) ).

thf(1806,plain,
    ! [SV322: $i] :
      ( ( ! [SY490: $i] :
            ( ! [SY491: $i] :
                ~ ( meet @ SY491 @ SV322 @ SY490 )
            | ( ( sK7_C @ SY490 @ SV322 )
              = ( sum @ SV322 @ SY490 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1785]) ).

thf(1807,plain,
    ! [SV323: $i] :
      ( ( ~ ( ~ ! [SY492: $i,SY493: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY492 )
                            | ~ ( incident_c @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY493 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY492 )
                          | ~ ( end_point @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY493 ) ) )
                  | ~ ( incident_c @ SV323 @ SY492 )
                  | ~ ( incident_c @ SV323 @ SY493 )
                  | ( meet @ SV323 @ SY492 @ SY493 ) )
            | ~ ~ ( ~ ! [SY494: $i,SY495: $i] :
                        ( ~ ( meet @ SV323 @ SY494 @ SY495 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY494 )
                                  | ~ ( incident_c @ SX3 @ SY495 )
                                  | ( end_point @ SX3 @ SY494 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY494 )
                                  | ~ ( incident_c @ SX3 @ SY495 )
                                  | ( end_point @ SX3 @ SY495 ) ) ) )
                  | ~ ~ ( ~ ! [SY498: $i] :
                              ( ! [SY499: $i] :
                                  ~ ( meet @ SV323 @ SY498 @ SY499 )
                              | ( incident_c @ SV323 @ SY498 ) )
                        | ~ ! [SY500: $i,SY501: $i] :
                              ( ~ ( meet @ SV323 @ SY500 @ SY501 )
                              | ( incident_c @ SV323 @ SY501 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1790]) ).

thf(1808,plain,
    ! [SV324: $i] :
      ( ( ! [SY502: $i] :
            ( ~ ( end_point @ SY502 @ SV324 )
            | ~ ( ~ ( ( SY502
                     != ( sK8_Q @ SY502 @ SV324 ) ) )
                | ~ ( end_point @ ( sK8_Q @ SY502 @ SV324 ) @ SV324 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1791]) ).

thf(1809,plain,
    ! [SV325: $i] :
      ( ( ~ ( ~ ! [SY503: $i,SY504: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                                | ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY503 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                                | ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY504 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                          | ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY503 )
                          | ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY504 ) ) )
                  | ( SV325
                    = ( sum @ SY503 @ SY504 ) ) )
            | ~ ! [SY505: $i,SY506: $i] :
                  ( ( SV325
                   != ( sum @ SY505 @ SY506 ) )
                  | ~ ( ~ ! [SY507: $i] :
                            ( ~ ( incident_c @ SY507 @ SV325 )
                            | ( incident_c @ SY507 @ SY505 )
                            | ( incident_c @ SY507 @ SY506 ) )
                      | ~ ~ ( ~ ! [SY508: $i] :
                                  ( ~ ( incident_c @ SY508 @ SY505 )
                                  | ( incident_c @ SY508 @ SV325 ) )
                            | ~ ! [SY509: $i] :
                                  ( ~ ( incident_c @ SY509 @ SY506 )
                                  | ( incident_c @ SY509 @ SV325 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1792]) ).

thf(1810,plain,
    ! [SV326: $i] :
      ( ( ! [SY510: $i] :
            ~ ( ~ ! [SY511: $i,SY512: $i] :
                    ( ( SY510 = SY512 )
                    | ! [SY513: $i] :
                        ( ~ ( end_point @ SY510 @ SY513 )
                        | ~ ( part_of @ SY513 @ SV326 )
                        | ~ ( end_point @ SY512 @ SY513 )
                        | ~ ( inner_point @ SY511 @ SY513 ) )
                    | ( between_c @ SV326 @ SY510 @ SY511 @ SY512 ) )
              | ~ ~ ( ~ ! [SY514: $i,SY515: $i] :
                          ( ~ ( between_c @ SV326 @ SY510 @ SY514 @ SY515 )
                          | ( SY510 != SY515 ) )
                    | ~ ! [SY516: $i,SY517: $i] :
                          ( ~ ( between_c @ SV326 @ SY510 @ SY516 @ SY517 )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY510 @ ( sK5_Cpp @ SY517 @ SY516 @ SY510 @ SV326 ) )
                                          | ~ ( part_of @ ( sK5_Cpp @ SY517 @ SY516 @ SY510 @ SV326 ) @ SV326 ) )
                                    | ~ ( end_point @ SY517 @ ( sK5_Cpp @ SY517 @ SY516 @ SY510 @ SV326 ) ) )
                              | ~ ( inner_point @ SY516 @ ( sK5_Cpp @ SY517 @ SY516 @ SY510 @ SV326 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1793]) ).

thf(1811,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)],[1794]) ).

thf(1812,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1795]) ).

thf(1813,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[1796]) ).

thf(1814,plain,
    ! [SV327: $i] :
      ( ( ! [SY518: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SY518 @ SV327 ) @ SV327 )
                    | ~ ( incident_c @ ( sK6_P @ SY518 @ SV327 ) @ SY518 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SY518 @ SV327 ) @ SV327 )
                    | ( incident_c @ ( sK6_P @ SY518 @ SV327 ) @ SY518 ) ) )
            | ( SV327 = SY518 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1797]) ).

thf(1815,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_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)],[1798]) ).

thf(1816,plain,
    ! [SV328: $i] :
      ( ( ! [SY519: $i] :
            ( ~ ( inner_point @ SY519 @ SV328 )
            | ~ ( ( SV328
                 != ( sum @ ( sK9_C1 @ SY519 @ SV328 ) @ ( sK10_SY68 @ SY519 @ SV328 ) ) )
                | ~ ( meet @ SY519 @ ( sK9_C1 @ SY519 @ SV328 ) @ ( sK10_SY68 @ SY519 @ SV328 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1799]) ).

thf(1817,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1800]) ).

thf(1818,plain,
    ! [SV317: $i,SV329: $i] :
      ( ( ( SV329 = SV317 )
        | ~ ( part_of @ SV329 @ SV317 )
        | ( open @ SV329 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1801]) ).

thf(1819,plain,
    ! [SV318: $i,SV330: $i] :
      ( ( ! [SY520: $i,SY521: $i] :
            ( ~ ( part_of @ SV330 @ SV318 )
            | ~ ( part_of @ SY520 @ SV318 )
            | ~ ( part_of @ SY521 @ SV318 )
            | ! [SY522: $i] :
                ( ~ ( end_point @ SY522 @ SV330 )
                | ~ ( end_point @ SY522 @ SY520 )
                | ~ ( end_point @ SY522 @ SY521 ) )
            | ( part_of @ SY521 @ SV330 )
            | ( part_of @ SV330 @ SY521 )
            | ( part_of @ SY520 @ SV330 )
            | ( part_of @ SV330 @ SY520 )
            | ( part_of @ SY520 @ SY521 )
            | ( part_of @ SY521 @ SY520 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1802]) ).

thf(1820,plain,
    ! [SV320: $i,SV331: $i] :
      ( ( ! [SY523: $i,SY524: $i] :
            ( ~ ( end_point @ SV331 @ SV320 )
            | ~ ( end_point @ SY523 @ SV320 )
            | ~ ( end_point @ SY524 @ SV320 )
            | ( SY523 = SY524 )
            | ( SV331 = SY523 )
            | ( SV331 = SY524 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1804]) ).

thf(1821,plain,
    ! [SV332: $i,SV321: $i] :
      ( ( ! [SY525: $i] :
            ( ~ ( closed @ SV321 )
            | ! [SY526: $i] :
                ~ ( meet @ SY526 @ SV332 @ SY525 )
            | ( SV321
             != ( sum @ SV332 @ SY525 ) )
            | ! [SY527: $i] :
                ( ~ ( end_point @ SY527 @ SV332 )
                | ( meet @ SY527 @ SV332 @ SY525 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1805]) ).

thf(1822,plain,
    ! [SV333: $i,SV322: $i] :
      ( ( ! [SY528: $i] :
            ~ ( meet @ SY528 @ SV322 @ SV333 )
        | ( ( sK7_C @ SV333 @ SV322 )
          = ( sum @ SV322 @ SV333 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1806]) ).

thf(1823,plain,
    ! [SV323: $i] :
      ( ( ~ ! [SY492: $i,SY493: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY492 )
                        | ~ ( incident_c @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY493 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY492 )
                      | ~ ( end_point @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY493 ) ) )
              | ~ ( incident_c @ SV323 @ SY492 )
              | ~ ( incident_c @ SV323 @ SY493 )
              | ( meet @ SV323 @ SY492 @ SY493 ) )
        | ~ ~ ( ~ ! [SY494: $i,SY495: $i] :
                    ( ~ ( meet @ SV323 @ SY494 @ SY495 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY494 )
                              | ~ ( incident_c @ SX3 @ SY495 )
                              | ( end_point @ SX3 @ SY494 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY494 )
                              | ~ ( incident_c @ SX3 @ SY495 )
                              | ( end_point @ SX3 @ SY495 ) ) ) )
              | ~ ~ ( ~ ! [SY498: $i] :
                          ( ! [SY499: $i] :
                              ~ ( meet @ SV323 @ SY498 @ SY499 )
                          | ( incident_c @ SV323 @ SY498 ) )
                    | ~ ! [SY500: $i,SY501: $i] :
                          ( ~ ( meet @ SV323 @ SY500 @ SY501 )
                          | ( incident_c @ SV323 @ SY501 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1807]) ).

thf(1824,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ~ ( end_point @ SV334 @ SV324 )
        | ~ ( ~ ( ( SV334
                 != ( sK8_Q @ SV334 @ SV324 ) ) )
            | ~ ( end_point @ ( sK8_Q @ SV334 @ SV324 ) @ SV324 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1808]) ).

thf(1825,plain,
    ! [SV325: $i] :
      ( ( ~ ! [SY503: $i,SY504: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                            | ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY503 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                            | ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY504 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                      | ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY503 )
                      | ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY504 ) ) )
              | ( SV325
                = ( sum @ SY503 @ SY504 ) ) )
        | ~ ! [SY505: $i,SY506: $i] :
              ( ( SV325
               != ( sum @ SY505 @ SY506 ) )
              | ~ ( ~ ! [SY507: $i] :
                        ( ~ ( incident_c @ SY507 @ SV325 )
                        | ( incident_c @ SY507 @ SY505 )
                        | ( incident_c @ SY507 @ SY506 ) )
                  | ~ ~ ( ~ ! [SY508: $i] :
                              ( ~ ( incident_c @ SY508 @ SY505 )
                              | ( incident_c @ SY508 @ SV325 ) )
                        | ~ ! [SY509: $i] :
                              ( ~ ( incident_c @ SY509 @ SY506 )
                              | ( incident_c @ SY509 @ SV325 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1809]) ).

thf(1826,plain,
    ! [SV326: $i,SV335: $i] :
      ( ( ~ ( ~ ! [SY529: $i,SY530: $i] :
                  ( ( SV335 = SY530 )
                  | ! [SY531: $i] :
                      ( ~ ( end_point @ SV335 @ SY531 )
                      | ~ ( part_of @ SY531 @ SV326 )
                      | ~ ( end_point @ SY530 @ SY531 )
                      | ~ ( inner_point @ SY529 @ SY531 ) )
                  | ( between_c @ SV326 @ SV335 @ SY529 @ SY530 ) )
            | ~ ~ ( ~ ! [SY532: $i,SY533: $i] :
                        ( ~ ( between_c @ SV326 @ SV335 @ SY532 @ SY533 )
                        | ( SV335 != SY533 ) )
                  | ~ ! [SY534: $i,SY535: $i] :
                        ( ~ ( between_c @ SV326 @ SV335 @ SY534 @ SY535 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) @ SV326 ) )
                                  | ~ ( end_point @ SY535 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) )
                            | ~ ( inner_point @ SY534 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1810]) ).

thf(1827,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1811]) ).

thf(1828,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)],[1811]) ).

thf(1829,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1812]) ).

thf(1830,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1812]) ).

thf(1831,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1813]) ).

thf(1832,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)],[1813]) ).

thf(1833,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
                | ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) )
            | ~ ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
                | ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) ) )
        | ( SV327 = SV336 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1814]) ).

thf(1834,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1815]) ).

thf(1835,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)],[1815]) ).

thf(1836,plain,
    ! [SV328: $i,SV337: $i] :
      ( ( ~ ( inner_point @ SV337 @ SV328 )
        | ~ ( ( SV328
             != ( sum @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) )
            | ~ ( meet @ SV337 @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1816]) ).

thf(1837,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1817]) ).

thf(1838,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1817]) ).

thf(1839,plain,
    ! [SV317: $i,SV329: $i] :
      ( ( ( ( SV329 = SV317 )
          | ~ ( part_of @ SV329 @ SV317 ) )
        = $true )
      | ( ( open @ SV329 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1818]) ).

thf(1840,plain,
    ! [SV338: $i,SV318: $i,SV330: $i] :
      ( ( ! [SY536: $i] :
            ( ~ ( part_of @ SV330 @ SV318 )
            | ~ ( part_of @ SV338 @ SV318 )
            | ~ ( part_of @ SY536 @ SV318 )
            | ! [SY537: $i] :
                ( ~ ( end_point @ SY537 @ SV330 )
                | ~ ( end_point @ SY537 @ SV338 )
                | ~ ( end_point @ SY537 @ SY536 ) )
            | ( part_of @ SY536 @ SV330 )
            | ( part_of @ SV330 @ SY536 )
            | ( part_of @ SV338 @ SV330 )
            | ( part_of @ SV330 @ SV338 )
            | ( part_of @ SV338 @ SY536 )
            | ( part_of @ SY536 @ SV338 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1819]) ).

thf(1841,plain,
    ! [SV339: $i,SV320: $i,SV331: $i] :
      ( ( ! [SY538: $i] :
            ( ~ ( end_point @ SV331 @ SV320 )
            | ~ ( end_point @ SV339 @ SV320 )
            | ~ ( end_point @ SY538 @ SV320 )
            | ( SV339 = SY538 )
            | ( SV331 = SV339 )
            | ( SV331 = SY538 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1820]) ).

thf(1842,plain,
    ! [SV340: $i,SV332: $i,SV321: $i] :
      ( ( ~ ( closed @ SV321 )
        | ! [SY539: $i] :
            ~ ( meet @ SY539 @ SV332 @ SV340 )
        | ( SV321
         != ( sum @ SV332 @ SV340 ) )
        | ! [SY540: $i] :
            ( ~ ( end_point @ SY540 @ SV332 )
            | ( meet @ SY540 @ SV332 @ SV340 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1821]) ).

thf(1843,plain,
    ! [SV333: $i,SV322: $i] :
      ( ( ( ! [SY528: $i] :
              ~ ( meet @ SY528 @ SV322 @ SV333 ) )
        = $true )
      | ( ( ( sK7_C @ SV333 @ SV322 )
          = ( sum @ SV322 @ SV333 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1822]) ).

thf(1844,plain,
    ! [SV323: $i] :
      ( ( ~ ! [SY492: $i,SY493: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY492 )
                        | ~ ( incident_c @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY493 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY492 )
                      | ~ ( end_point @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY493 ) ) )
              | ~ ( incident_c @ SV323 @ SY492 )
              | ~ ( incident_c @ SV323 @ SY493 )
              | ( meet @ SV323 @ SY492 @ SY493 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1823]) ).

thf(1845,plain,
    ! [SV323: $i] :
      ( ( ~ ~ ( ~ ! [SY494: $i,SY495: $i] :
                    ( ~ ( meet @ SV323 @ SY494 @ SY495 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY494 )
                              | ~ ( incident_c @ SX3 @ SY495 )
                              | ( end_point @ SX3 @ SY494 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY494 )
                              | ~ ( incident_c @ SX3 @ SY495 )
                              | ( end_point @ SX3 @ SY495 ) ) ) )
              | ~ ~ ( ~ ! [SY498: $i] :
                          ( ! [SY499: $i] :
                              ~ ( meet @ SV323 @ SY498 @ SY499 )
                          | ( incident_c @ SV323 @ SY498 ) )
                    | ~ ! [SY500: $i,SY501: $i] :
                          ( ~ ( meet @ SV323 @ SY500 @ SY501 )
                          | ( incident_c @ SV323 @ SY501 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1823]) ).

thf(1846,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ( ~ ( end_point @ SV334 @ SV324 ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV334
                   != ( sK8_Q @ SV334 @ SV324 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV334 @ SV324 ) @ SV324 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1824]) ).

thf(1847,plain,
    ! [SV325: $i] :
      ( ( ~ ! [SY503: $i,SY504: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                            | ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY503 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                            | ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY504 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                      | ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY503 )
                      | ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY504 ) ) )
              | ( SV325
                = ( sum @ SY503 @ SY504 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1825]) ).

thf(1848,plain,
    ! [SV325: $i] :
      ( ( ~ ! [SY505: $i,SY506: $i] :
              ( ( SV325
               != ( sum @ SY505 @ SY506 ) )
              | ~ ( ~ ! [SY507: $i] :
                        ( ~ ( incident_c @ SY507 @ SV325 )
                        | ( incident_c @ SY507 @ SY505 )
                        | ( incident_c @ SY507 @ SY506 ) )
                  | ~ ~ ( ~ ! [SY508: $i] :
                              ( ~ ( incident_c @ SY508 @ SY505 )
                              | ( incident_c @ SY508 @ SV325 ) )
                        | ~ ! [SY509: $i] :
                              ( ~ ( incident_c @ SY509 @ SY506 )
                              | ( incident_c @ SY509 @ SV325 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1825]) ).

thf(1849,plain,
    ! [SV326: $i,SV335: $i] :
      ( ( ~ ! [SY529: $i,SY530: $i] :
              ( ( SV335 = SY530 )
              | ! [SY531: $i] :
                  ( ~ ( end_point @ SV335 @ SY531 )
                  | ~ ( part_of @ SY531 @ SV326 )
                  | ~ ( end_point @ SY530 @ SY531 )
                  | ~ ( inner_point @ SY529 @ SY531 ) )
              | ( between_c @ SV326 @ SV335 @ SY529 @ SY530 ) )
        | ~ ~ ( ~ ! [SY532: $i,SY533: $i] :
                    ( ~ ( between_c @ SV326 @ SV335 @ SY532 @ SY533 )
                    | ( SV335 != SY533 ) )
              | ~ ! [SY534: $i,SY535: $i] :
                    ( ~ ( between_c @ SV326 @ SV335 @ SY534 @ SY535 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) @ SV326 ) )
                              | ~ ( end_point @ SY535 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) )
                        | ~ ( inner_point @ SY534 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1826]) ).

thf(1850,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 )
          | ( inner_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1827]) ).

thf(1851,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)],[1828]) ).

thf(1852,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( closed @ SX0 )
          | ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1829]) ).

thf(1853,plain,
    ( ( ! [SX0: $i] :
          ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
          | ( closed @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1830]) ).

thf(1854,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                          | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                    | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
          | ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1831]) ).

thf(1855,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)],[1832]) ).

thf(1856,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
                  | ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
                  | ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) ) ) )
        = $true )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1833]) ).

thf(1857,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
          | ( part_of @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1834]) ).

thf(1858,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)],[1835]) ).

thf(1859,plain,
    ! [SV328: $i,SV337: $i] :
      ( ( ( ~ ( inner_point @ SV337 @ SV328 ) )
        = $true )
      | ( ( ~ ( ( SV328
               != ( sum @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) )
              | ~ ( meet @ SV337 @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1836]) ).

thf(1860,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 )
          | ( open @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1837]) ).

thf(1861,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( open @ SX0 )
          | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1838]) ).

thf(1862,plain,
    ! [SV317: $i,SV329: $i] :
      ( ( ( SV329 = SV317 )
        = $true )
      | ( ( ~ ( part_of @ SV329 @ SV317 ) )
        = $true )
      | ( ( open @ SV329 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1839]) ).

thf(1863,plain,
    ! [SV341: $i,SV338: $i,SV318: $i,SV330: $i] :
      ( ( ~ ( part_of @ SV330 @ SV318 )
        | ~ ( part_of @ SV338 @ SV318 )
        | ~ ( part_of @ SV341 @ SV318 )
        | ! [SY541: $i] :
            ( ~ ( end_point @ SY541 @ SV330 )
            | ~ ( end_point @ SY541 @ SV338 )
            | ~ ( end_point @ SY541 @ SV341 ) )
        | ( part_of @ SV341 @ SV330 )
        | ( part_of @ SV330 @ SV341 )
        | ( part_of @ SV338 @ SV330 )
        | ( part_of @ SV330 @ SV338 )
        | ( part_of @ SV338 @ SV341 )
        | ( part_of @ SV341 @ SV338 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1840]) ).

thf(1864,plain,
    ! [SV342: $i,SV339: $i,SV320: $i,SV331: $i] :
      ( ( ~ ( end_point @ SV331 @ SV320 )
        | ~ ( end_point @ SV339 @ SV320 )
        | ~ ( end_point @ SV342 @ SV320 )
        | ( SV339 = SV342 )
        | ( SV331 = SV339 )
        | ( SV331 = SV342 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1841]) ).

thf(1865,plain,
    ! [SV340: $i,SV332: $i,SV321: $i] :
      ( ( ( ~ ( closed @ SV321 )
          | ! [SY539: $i] :
              ~ ( meet @ SY539 @ SV332 @ SV340 )
          | ( SV321
           != ( sum @ SV332 @ SV340 ) ) )
        = $true )
      | ( ( ! [SY540: $i] :
              ( ~ ( end_point @ SY540 @ SV332 )
              | ( meet @ SY540 @ SV332 @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1842]) ).

thf(1866,plain,
    ! [SV333: $i,SV322: $i,SV343: $i] :
      ( ( ( ~ ( meet @ SV343 @ SV322 @ SV333 ) )
        = $true )
      | ( ( ( sK7_C @ SV333 @ SV322 )
          = ( sum @ SV322 @ SV333 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1843]) ).

thf(1867,plain,
    ! [SV323: $i] :
      ( ( ! [SY492: $i,SY493: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY492 )
                      | ~ ( incident_c @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY493 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY492 )
                    | ~ ( end_point @ ( sK14_Q @ SY493 @ SY492 @ SV323 ) @ SY493 ) ) )
            | ~ ( incident_c @ SV323 @ SY492 )
            | ~ ( incident_c @ SV323 @ SY493 )
            | ( meet @ SV323 @ SY492 @ SY493 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1844]) ).

thf(1868,plain,
    ! [SV323: $i] :
      ( ( ~ ( ~ ! [SY494: $i,SY495: $i] :
                  ( ~ ( meet @ SV323 @ SY494 @ SY495 )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY494 )
                            | ~ ( incident_c @ SX3 @ SY495 )
                            | ( end_point @ SX3 @ SY494 ) )
                      | ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY494 )
                            | ~ ( incident_c @ SX3 @ SY495 )
                            | ( end_point @ SX3 @ SY495 ) ) ) )
            | ~ ~ ( ~ ! [SY498: $i] :
                        ( ! [SY499: $i] :
                            ~ ( meet @ SV323 @ SY498 @ SY499 )
                        | ( incident_c @ SV323 @ SY498 ) )
                  | ~ ! [SY500: $i,SY501: $i] :
                        ( ~ ( meet @ SV323 @ SY500 @ SY501 )
                        | ( incident_c @ SV323 @ SY501 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1845]) ).

thf(1869,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ( end_point @ SV334 @ SV324 )
        = $false )
      | ( ( ~ ( ~ ( ( SV334
                   != ( sK8_Q @ SV334 @ SV324 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV334 @ SV324 ) @ SV324 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1846]) ).

thf(1870,plain,
    ! [SV325: $i] :
      ( ( ! [SY503: $i,SY504: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                          | ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY503 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                          | ~ ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY504 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SV325 )
                    | ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY503 )
                    | ( incident_c @ ( sK17_Q @ SY504 @ SY503 @ SV325 ) @ SY504 ) ) )
            | ( SV325
              = ( sum @ SY503 @ SY504 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1847]) ).

thf(1871,plain,
    ! [SV325: $i] :
      ( ( ! [SY505: $i,SY506: $i] :
            ( ( SV325
             != ( sum @ SY505 @ SY506 ) )
            | ~ ( ~ ! [SY507: $i] :
                      ( ~ ( incident_c @ SY507 @ SV325 )
                      | ( incident_c @ SY507 @ SY505 )
                      | ( incident_c @ SY507 @ SY506 ) )
                | ~ ~ ( ~ ! [SY508: $i] :
                            ( ~ ( incident_c @ SY508 @ SY505 )
                            | ( incident_c @ SY508 @ SV325 ) )
                      | ~ ! [SY509: $i] :
                            ( ~ ( incident_c @ SY509 @ SY506 )
                            | ( incident_c @ SY509 @ SV325 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1848]) ).

thf(1872,plain,
    ! [SV326: $i,SV335: $i] :
      ( ( ~ ! [SY529: $i,SY530: $i] :
              ( ( SV335 = SY530 )
              | ! [SY531: $i] :
                  ( ~ ( end_point @ SV335 @ SY531 )
                  | ~ ( part_of @ SY531 @ SV326 )
                  | ~ ( end_point @ SY530 @ SY531 )
                  | ~ ( inner_point @ SY529 @ SY531 ) )
              | ( between_c @ SV326 @ SV335 @ SY529 @ SY530 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1849]) ).

thf(1873,plain,
    ! [SV335: $i,SV326: $i] :
      ( ( ~ ~ ( ~ ! [SY532: $i,SY533: $i] :
                    ( ~ ( between_c @ SV326 @ SV335 @ SY532 @ SY533 )
                    | ( SV335 != SY533 ) )
              | ~ ! [SY534: $i,SY535: $i] :
                    ( ~ ( between_c @ SV326 @ SV335 @ SY534 @ SY535 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) @ SV326 ) )
                              | ~ ( end_point @ SY535 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) )
                        | ~ ( inner_point @ SY534 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1849]) ).

thf(1874,plain,
    ! [SV344: $i] :
      ( ( ! [SY542: $i] :
            ( ~ ( incident_c @ SV344 @ SY542 )
            | ( end_point @ SV344 @ SY542 )
            | ( inner_point @ SV344 @ SY542 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1850]) ).

thf(1875,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)],[1851]) ).

thf(1876,plain,
    ! [SV345: $i] :
      ( ( ~ ( closed @ SV345 )
        | ! [SY543: $i] :
            ~ ( end_point @ SY543 @ SV345 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1852]) ).

thf(1877,plain,
    ! [SV346: $i] :
      ( ( ( end_point @ ( sK13_P @ SV346 ) @ SV346 )
        | ( closed @ SV346 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1853]) ).

thf(1878,plain,
    ! [SV347: $i] :
      ( ( ! [SY544: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SY544 @ SV347 ) @ SY544 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SY544 @ SV347 ) @ SY544 ) )
                            | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SY544 @ SV347 ) ) )
                      | ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SY544 @ SV347 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SY544 @ SV347 ) @ ( sK16_SY69 @ SY544 @ SV347 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SY544 @ SV347 ) @ ( sK15_C1 @ SY544 @ SV347 ) ) ) )
            | ~ ( incident_c @ SV347 @ SY544 )
            | ( end_point @ SV347 @ SY544 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1854]) ).

thf(1879,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)],[1855]) ).

thf(1880,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
              | ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) )
          | ~ ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
              | ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) ) )
        = $false )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1856]) ).

thf(1881,plain,
    ! [SV348: $i] :
      ( ( ! [SY545: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SY545 @ SV348 ) @ SY545 )
                | ~ ~ ( incident_c @ ( sK18_P @ SY545 @ SV348 ) @ SV348 ) )
            | ( part_of @ SY545 @ SV348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1857]) ).

thf(1882,plain,
    ! [SV349: $i] :
      ( ( ! [SY546: $i] :
            ( ~ ( part_of @ SY546 @ SV349 )
            | ! [SY547: $i] :
                ( ~ ( incident_c @ SY547 @ SY546 )
                | ( incident_c @ SY547 @ SV349 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1858]) ).

thf(1883,plain,
    ! [SV328: $i,SV337: $i] :
      ( ( ( inner_point @ SV337 @ SV328 )
        = $false )
      | ( ( ~ ( ( SV328
               != ( sum @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) )
              | ~ ( meet @ SV337 @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1859]) ).

thf(1884,plain,
    ! [SV350: $i] :
      ( ( ! [SY548: $i] :
            ~ ( end_point @ SY548 @ SV350 )
        | ( open @ SV350 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1860]) ).

thf(1885,plain,
    ! [SV351: $i] :
      ( ( ~ ( open @ SV351 )
        | ( end_point @ ( sK12_P @ SV351 ) @ SV351 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1861]) ).

thf(1886,plain,
    ! [SV317: $i,SV329: $i] :
      ( ( ( part_of @ SV329 @ SV317 )
        = $false )
      | ( ( SV329 = SV317 )
        = $true )
      | ( ( open @ SV329 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1862]) ).

thf(1887,plain,
    ! [SV341: $i,SV338: $i,SV318: $i,SV330: $i] :
      ( ( ( ~ ( part_of @ SV330 @ SV318 )
          | ~ ( part_of @ SV338 @ SV318 )
          | ~ ( part_of @ SV341 @ SV318 )
          | ! [SY541: $i] :
              ( ~ ( end_point @ SY541 @ SV330 )
              | ~ ( end_point @ SY541 @ SV338 )
              | ~ ( end_point @ SY541 @ SV341 ) ) )
        = $true )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1863]) ).

thf(1888,plain,
    ! [SV342: $i,SV339: $i,SV320: $i,SV331: $i] :
      ( ( ( ~ ( end_point @ SV331 @ SV320 )
          | ~ ( end_point @ SV339 @ SV320 )
          | ~ ( end_point @ SV342 @ SV320 ) )
        = $true )
      | ( ( ( SV339 = SV342 )
          | ( SV331 = SV339 )
          | ( SV331 = SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1864]) ).

thf(1889,plain,
    ! [SV340: $i,SV332: $i,SV321: $i] :
      ( ( ( ~ ( closed @ SV321 )
          | ! [SY539: $i] :
              ~ ( meet @ SY539 @ SV332 @ SV340 ) )
        = $true )
      | ( ( ( SV321
           != ( sum @ SV332 @ SV340 ) ) )
        = $true )
      | ( ( ! [SY540: $i] :
              ( ~ ( end_point @ SY540 @ SV332 )
              | ( meet @ SY540 @ SV332 @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1865]) ).

thf(1890,plain,
    ! [SV333: $i,SV322: $i,SV343: $i] :
      ( ( ( meet @ SV343 @ SV322 @ SV333 )
        = $false )
      | ( ( ( sK7_C @ SV333 @ SV322 )
          = ( sum @ SV322 @ SV333 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1866]) ).

thf(1891,plain,
    ! [SV323: $i,SV352: $i] :
      ( ( ! [SY549: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY549 @ SV352 @ SV323 ) @ SV352 )
                      | ~ ( incident_c @ ( sK14_Q @ SY549 @ SV352 @ SV323 ) @ SY549 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY549 @ SV352 @ SV323 ) @ SV352 )
                    | ~ ( end_point @ ( sK14_Q @ SY549 @ SV352 @ SV323 ) @ SY549 ) ) )
            | ~ ( incident_c @ SV323 @ SV352 )
            | ~ ( incident_c @ SV323 @ SY549 )
            | ( meet @ SV323 @ SV352 @ SY549 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1867]) ).

thf(1892,plain,
    ! [SV323: $i] :
      ( ( ~ ! [SY494: $i,SY495: $i] :
              ( ~ ( meet @ SV323 @ SY494 @ SY495 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY494 )
                        | ~ ( incident_c @ SX3 @ SY495 )
                        | ( end_point @ SX3 @ SY494 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY494 )
                        | ~ ( incident_c @ SX3 @ SY495 )
                        | ( end_point @ SX3 @ SY495 ) ) ) )
        | ~ ~ ( ~ ! [SY498: $i] :
                    ( ! [SY499: $i] :
                        ~ ( meet @ SV323 @ SY498 @ SY499 )
                    | ( incident_c @ SV323 @ SY498 ) )
              | ~ ! [SY500: $i,SY501: $i] :
                    ( ~ ( meet @ SV323 @ SY500 @ SY501 )
                    | ( incident_c @ SV323 @ SY501 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1868]) ).

thf(1893,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ( ~ ( ( SV334
               != ( sK8_Q @ SV334 @ SV324 ) ) )
          | ~ ( end_point @ ( sK8_Q @ SV334 @ SV324 ) @ SV324 ) )
        = $false )
      | ( ( end_point @ SV334 @ SV324 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1869]) ).

thf(1894,plain,
    ! [SV325: $i,SV353: $i] :
      ( ( ! [SY550: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY550 @ SV353 @ SV325 ) @ SV325 )
                          | ~ ( incident_c @ ( sK17_Q @ SY550 @ SV353 @ SV325 ) @ SV353 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY550 @ SV353 @ SV325 ) @ SV325 )
                          | ~ ( incident_c @ ( sK17_Q @ SY550 @ SV353 @ SV325 ) @ SY550 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY550 @ SV353 @ SV325 ) @ SV325 )
                    | ( incident_c @ ( sK17_Q @ SY550 @ SV353 @ SV325 ) @ SV353 )
                    | ( incident_c @ ( sK17_Q @ SY550 @ SV353 @ SV325 ) @ SY550 ) ) )
            | ( SV325
              = ( sum @ SV353 @ SY550 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1870]) ).

thf(1895,plain,
    ! [SV354: $i,SV325: $i] :
      ( ( ! [SY551: $i] :
            ( ( SV325
             != ( sum @ SV354 @ SY551 ) )
            | ~ ( ~ ! [SY552: $i] :
                      ( ~ ( incident_c @ SY552 @ SV325 )
                      | ( incident_c @ SY552 @ SV354 )
                      | ( incident_c @ SY552 @ SY551 ) )
                | ~ ~ ( ~ ! [SY553: $i] :
                            ( ~ ( incident_c @ SY553 @ SV354 )
                            | ( incident_c @ SY553 @ SV325 ) )
                      | ~ ! [SY509: $i] :
                            ( ~ ( incident_c @ SY509 @ SY551 )
                            | ( incident_c @ SY509 @ SV325 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1871]) ).

thf(1896,plain,
    ! [SV326: $i,SV335: $i] :
      ( ( ! [SY529: $i,SY530: $i] :
            ( ( SV335 = SY530 )
            | ! [SY531: $i] :
                ( ~ ( end_point @ SV335 @ SY531 )
                | ~ ( part_of @ SY531 @ SV326 )
                | ~ ( end_point @ SY530 @ SY531 )
                | ~ ( inner_point @ SY529 @ SY531 ) )
            | ( between_c @ SV326 @ SV335 @ SY529 @ SY530 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1872]) ).

thf(1897,plain,
    ! [SV335: $i,SV326: $i] :
      ( ( ~ ( ~ ! [SY532: $i,SY533: $i] :
                  ( ~ ( between_c @ SV326 @ SV335 @ SY532 @ SY533 )
                  | ( SV335 != SY533 ) )
            | ~ ! [SY534: $i,SY535: $i] :
                  ( ~ ( between_c @ SV326 @ SV335 @ SY534 @ SY535 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) )
                                  | ~ ( part_of @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) @ SV326 ) )
                            | ~ ( end_point @ SY535 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) )
                      | ~ ( inner_point @ SY534 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1873]) ).

thf(1898,plain,
    ! [SV355: $i,SV344: $i] :
      ( ( ~ ( incident_c @ SV344 @ SV355 )
        | ( end_point @ SV344 @ SV355 )
        | ( inner_point @ SV344 @ SV355 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1874]) ).

thf(1899,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1875]) ).

thf(1900,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1875]) ).

thf(1901,plain,
    ! [SV345: $i] :
      ( ( ( ~ ( closed @ SV345 ) )
        = $true )
      | ( ( ! [SY543: $i] :
              ~ ( end_point @ SY543 @ SV345 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1876]) ).

thf(1902,plain,
    ! [SV346: $i] :
      ( ( ( end_point @ ( sK13_P @ SV346 ) @ SV346 )
        = $true )
      | ( ( closed @ SV346 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1877]) ).

thf(1903,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                              | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
                        | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
                  | ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) ) )
            | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
                  | ~ ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) ) )
        | ~ ( incident_c @ SV347 @ SV356 )
        | ( end_point @ SV347 @ SV356 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1878]) ).

thf(1904,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)],[1879]) ).

thf(1905,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[1879]) ).

thf(1906,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
              | ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) ) )
        = $false )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1880]) ).

thf(1907,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
              | ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) ) )
        = $false )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1880]) ).

thf(1908,plain,
    ! [SV348: $i,SV357: $i] :
      ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV357 )
            | ~ ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV348 ) )
        | ( part_of @ SV357 @ SV348 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1881]) ).

thf(1909,plain,
    ! [SV349: $i,SV358: $i] :
      ( ( ~ ( part_of @ SV358 @ SV349 )
        | ! [SY555: $i] :
            ( ~ ( incident_c @ SY555 @ SV358 )
            | ( incident_c @ SY555 @ SV349 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1882]) ).

thf(1910,plain,
    ! [SV337: $i,SV328: $i] :
      ( ( ( ( SV328
           != ( sum @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) )
          | ~ ( meet @ SV337 @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) )
        = $false )
      | ( ( inner_point @ SV337 @ SV328 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1883]) ).

thf(1911,plain,
    ! [SV350: $i] :
      ( ( ( ! [SY548: $i] :
              ~ ( end_point @ SY548 @ SV350 ) )
        = $true )
      | ( ( open @ SV350 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1884]) ).

thf(1912,plain,
    ! [SV351: $i] :
      ( ( ( ~ ( open @ SV351 ) )
        = $true )
      | ( ( end_point @ ( sK12_P @ SV351 ) @ SV351 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1885]) ).

thf(1913,plain,
    ! [SV341: $i,SV338: $i,SV318: $i,SV330: $i] :
      ( ( ( ~ ( part_of @ SV330 @ SV318 )
          | ~ ( part_of @ SV338 @ SV318 )
          | ~ ( part_of @ SV341 @ SV318 ) )
        = $true )
      | ( ( ! [SY541: $i] :
              ( ~ ( end_point @ SY541 @ SV330 )
              | ~ ( end_point @ SY541 @ SV338 )
              | ~ ( end_point @ SY541 @ SV341 ) ) )
        = $true )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1887]) ).

thf(1914,plain,
    ! [SV342: $i,SV339: $i,SV320: $i,SV331: $i] :
      ( ( ( ~ ( end_point @ SV331 @ SV320 )
          | ~ ( end_point @ SV339 @ SV320 ) )
        = $true )
      | ( ( ~ ( end_point @ SV342 @ SV320 ) )
        = $true )
      | ( ( ( SV339 = SV342 )
          | ( SV331 = SV339 )
          | ( SV331 = SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1888]) ).

thf(1915,plain,
    ! [SV340: $i,SV332: $i,SV321: $i] :
      ( ( ( ~ ( closed @ SV321 ) )
        = $true )
      | ( ( ! [SY539: $i] :
              ~ ( meet @ SY539 @ SV332 @ SV340 ) )
        = $true )
      | ( ( ( SV321
           != ( sum @ SV332 @ SV340 ) ) )
        = $true )
      | ( ( ! [SY540: $i] :
              ( ~ ( end_point @ SY540 @ SV332 )
              | ( meet @ SY540 @ SV332 @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1889]) ).

thf(1916,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
                  | ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
            | ~ ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
                | ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) ) )
        | ~ ( incident_c @ SV323 @ SV352 )
        | ~ ( incident_c @ SV323 @ SV359 )
        | ( meet @ SV323 @ SV352 @ SV359 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1891]) ).

thf(1917,plain,
    ! [SV323: $i] :
      ( ( ~ ! [SY494: $i,SY495: $i] :
              ( ~ ( meet @ SV323 @ SY494 @ SY495 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY494 )
                        | ~ ( incident_c @ SX3 @ SY495 )
                        | ( end_point @ SX3 @ SY494 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY494 )
                        | ~ ( incident_c @ SX3 @ SY495 )
                        | ( end_point @ SX3 @ SY495 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1892]) ).

thf(1918,plain,
    ! [SV323: $i] :
      ( ( ~ ~ ( ~ ! [SY498: $i] :
                    ( ! [SY499: $i] :
                        ~ ( meet @ SV323 @ SY498 @ SY499 )
                    | ( incident_c @ SV323 @ SY498 ) )
              | ~ ! [SY500: $i,SY501: $i] :
                    ( ~ ( meet @ SV323 @ SY500 @ SY501 )
                    | ( incident_c @ SV323 @ SY501 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1892]) ).

thf(1919,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ( ~ ( ( SV334
               != ( sK8_Q @ SV334 @ SV324 ) ) ) )
        = $false )
      | ( ( end_point @ SV334 @ SV324 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1893]) ).

thf(1920,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ( ~ ( end_point @ ( sK8_Q @ SV334 @ SV324 ) @ SV324 ) )
        = $false )
      | ( ( end_point @ SV334 @ SV324 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1893]) ).

thf(1921,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                      | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
                  | ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                      | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) )
            | ~ ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 )
                | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) )
        | ( SV325
          = ( sum @ SV353 @ SV360 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1894]) ).

thf(1922,plain,
    ! [SV361: $i,SV354: $i,SV325: $i] :
      ( ( ( SV325
         != ( sum @ SV354 @ SV361 ) )
        | ~ ( ~ ! [SY556: $i] :
                  ( ~ ( incident_c @ SY556 @ SV325 )
                  | ( incident_c @ SY556 @ SV354 )
                  | ( incident_c @ SY556 @ SV361 ) )
            | ~ ~ ( ~ ! [SY553: $i] :
                        ( ~ ( incident_c @ SY553 @ SV354 )
                        | ( incident_c @ SY553 @ SV325 ) )
                  | ~ ! [SY558: $i] :
                        ( ~ ( incident_c @ SY558 @ SV361 )
                        | ( incident_c @ SY558 @ SV325 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1895]) ).

thf(1923,plain,
    ! [SV362: $i,SV326: $i,SV335: $i] :
      ( ( ! [SY559: $i] :
            ( ( SV335 = SY559 )
            | ! [SY560: $i] :
                ( ~ ( end_point @ SV335 @ SY560 )
                | ~ ( part_of @ SY560 @ SV326 )
                | ~ ( end_point @ SY559 @ SY560 )
                | ~ ( inner_point @ SV362 @ SY560 ) )
            | ( between_c @ SV326 @ SV335 @ SV362 @ SY559 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1896]) ).

thf(1924,plain,
    ! [SV335: $i,SV326: $i] :
      ( ( ~ ! [SY532: $i,SY533: $i] :
              ( ~ ( between_c @ SV326 @ SV335 @ SY532 @ SY533 )
              | ( SV335 != SY533 ) )
        | ~ ! [SY534: $i,SY535: $i] :
              ( ~ ( between_c @ SV326 @ SV335 @ SY534 @ SY535 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) @ SV326 ) )
                        | ~ ( end_point @ SY535 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) )
                  | ~ ( inner_point @ SY534 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1897]) ).

thf(1925,plain,
    ! [SV355: $i,SV344: $i] :
      ( ( ( ~ ( incident_c @ SV344 @ SV355 )
          | ( end_point @ SV344 @ SV355 ) )
        = $true )
      | ( ( inner_point @ SV344 @ SV355 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1898]) ).

thf(1926,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1899]) ).

thf(1927,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1900]) ).

thf(1928,plain,
    ! [SV345: $i] :
      ( ( ( closed @ SV345 )
        = $false )
      | ( ( ! [SY543: $i] :
              ~ ( end_point @ SY543 @ SV345 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1901]) ).

thf(1929,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
                          | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
                    | ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) ) )
          | ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1903]) ).

thf(1930,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)],[1904]) ).

thf(1931,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1905]) ).

thf(1932,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
          | ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) )
        = $true )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1906]) ).

thf(1933,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
          | ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) )
        = $true )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1907]) ).

thf(1934,plain,
    ! [SV348: $i,SV357: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV357 )
              | ~ ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV348 ) ) )
        = $true )
      | ( ( part_of @ SV357 @ SV348 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1908]) ).

thf(1935,plain,
    ! [SV349: $i,SV358: $i] :
      ( ( ( ~ ( part_of @ SV358 @ SV349 ) )
        = $true )
      | ( ( ! [SY555: $i] :
              ( ~ ( incident_c @ SY555 @ SV358 )
              | ( incident_c @ SY555 @ SV349 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1909]) ).

thf(1936,plain,
    ! [SV337: $i,SV328: $i] :
      ( ( ( ( SV328
           != ( sum @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) ) )
        = $false )
      | ( ( inner_point @ SV337 @ SV328 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1910]) ).

thf(1937,plain,
    ! [SV328: $i,SV337: $i] :
      ( ( ( ~ ( meet @ SV337 @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) )
        = $false )
      | ( ( inner_point @ SV337 @ SV328 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1910]) ).

thf(1938,plain,
    ! [SV350: $i,SV363: $i] :
      ( ( ( ~ ( end_point @ SV363 @ SV350 ) )
        = $true )
      | ( ( open @ SV350 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1911]) ).

thf(1939,plain,
    ! [SV351: $i] :
      ( ( ( open @ SV351 )
        = $false )
      | ( ( end_point @ ( sK12_P @ SV351 ) @ SV351 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1912]) ).

thf(1940,plain,
    ! [SV341: $i,SV338: $i,SV318: $i,SV330: $i] :
      ( ( ( ~ ( part_of @ SV330 @ SV318 )
          | ~ ( part_of @ SV338 @ SV318 ) )
        = $true )
      | ( ( ~ ( part_of @ SV341 @ SV318 ) )
        = $true )
      | ( ( ! [SY541: $i] :
              ( ~ ( end_point @ SY541 @ SV330 )
              | ~ ( end_point @ SY541 @ SV338 )
              | ~ ( end_point @ SY541 @ SV341 ) ) )
        = $true )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1913]) ).

thf(1941,plain,
    ! [SV342: $i,SV339: $i,SV320: $i,SV331: $i] :
      ( ( ( ~ ( end_point @ SV331 @ SV320 ) )
        = $true )
      | ( ( ~ ( end_point @ SV339 @ SV320 ) )
        = $true )
      | ( ( ~ ( end_point @ SV342 @ SV320 ) )
        = $true )
      | ( ( ( SV339 = SV342 )
          | ( SV331 = SV339 )
          | ( SV331 = SV342 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1914]) ).

thf(1942,plain,
    ! [SV340: $i,SV332: $i,SV321: $i] :
      ( ( ( closed @ SV321 )
        = $false )
      | ( ( ! [SY539: $i] :
              ~ ( meet @ SY539 @ SV332 @ SV340 ) )
        = $true )
      | ( ( ( SV321
           != ( sum @ SV332 @ SV340 ) ) )
        = $true )
      | ( ( ! [SY540: $i] :
              ( ~ ( end_point @ SY540 @ SV332 )
              | ( meet @ SY540 @ SV332 @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1915]) ).

thf(1943,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
                    | ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
                  | ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) ) )
          | ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1916]) ).

thf(1944,plain,
    ! [SV323: $i] :
      ( ( ! [SY494: $i,SY495: $i] :
            ( ~ ( meet @ SV323 @ SY494 @ SY495 )
            | ~ ( ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY494 )
                      | ~ ( incident_c @ SX3 @ SY495 )
                      | ( end_point @ SX3 @ SY494 ) )
                | ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY494 )
                      | ~ ( incident_c @ SX3 @ SY495 )
                      | ( end_point @ SX3 @ SY495 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1917]) ).

thf(1945,plain,
    ! [SV323: $i] :
      ( ( ~ ( ~ ! [SY498: $i] :
                  ( ! [SY499: $i] :
                      ~ ( meet @ SV323 @ SY498 @ SY499 )
                  | ( incident_c @ SV323 @ SY498 ) )
            | ~ ! [SY500: $i,SY501: $i] :
                  ( ~ ( meet @ SV323 @ SY500 @ SY501 )
                  | ( incident_c @ SV323 @ SY501 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1918]) ).

thf(1946,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ( ( SV334
           != ( sK8_Q @ SV334 @ SV324 ) ) )
        = $true )
      | ( ( end_point @ SV334 @ SV324 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1919]) ).

thf(1947,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ( end_point @ ( sK8_Q @ SV334 @ SV324 ) @ SV324 )
        = $true )
      | ( ( end_point @ SV334 @ SV324 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1920]) ).

thf(1948,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                        | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
                    | ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                        | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) )
              | ~ ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                  | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 )
                  | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1921]) ).

thf(1949,plain,
    ! [SV361: $i,SV354: $i,SV325: $i] :
      ( ( ( ( SV325
           != ( sum @ SV354 @ SV361 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY556: $i] :
                    ( ~ ( incident_c @ SY556 @ SV325 )
                    | ( incident_c @ SY556 @ SV354 )
                    | ( incident_c @ SY556 @ SV361 ) )
              | ~ ~ ( ~ ! [SY553: $i] :
                          ( ~ ( incident_c @ SY553 @ SV354 )
                          | ( incident_c @ SY553 @ SV325 ) )
                    | ~ ! [SY558: $i] :
                          ( ~ ( incident_c @ SY558 @ SV361 )
                          | ( incident_c @ SY558 @ SV325 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1922]) ).

thf(1950,plain,
    ! [SV362: $i,SV326: $i,SV364: $i,SV335: $i] :
      ( ( ( SV335 = SV364 )
        | ! [SY561: $i] :
            ( ~ ( end_point @ SV335 @ SY561 )
            | ~ ( part_of @ SY561 @ SV326 )
            | ~ ( end_point @ SV364 @ SY561 )
            | ~ ( inner_point @ SV362 @ SY561 ) )
        | ( between_c @ SV326 @ SV335 @ SV362 @ SV364 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1923]) ).

thf(1951,plain,
    ! [SV335: $i,SV326: $i] :
      ( ( ~ ! [SY532: $i,SY533: $i] :
              ( ~ ( between_c @ SV326 @ SV335 @ SY532 @ SY533 )
              | ( SV335 != SY533 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1924]) ).

thf(1952,plain,
    ! [SV335: $i,SV326: $i] :
      ( ( ~ ! [SY534: $i,SY535: $i] :
              ( ~ ( between_c @ SV326 @ SV335 @ SY534 @ SY535 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) @ SV326 ) )
                        | ~ ( end_point @ SY535 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) )
                  | ~ ( inner_point @ SY534 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1924]) ).

thf(1953,plain,
    ! [SV355: $i,SV344: $i] :
      ( ( ( ~ ( incident_c @ SV344 @ SV355 ) )
        = $true )
      | ( ( end_point @ SV344 @ SV355 )
        = $true )
      | ( ( inner_point @ SV344 @ SV355 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1925]) ).

thf(1954,plain,
    ! [SV365: $i] :
      ( ( ! [SY562: $i] :
            ( ~ ( inner_point @ SV365 @ SY562 )
            | ( incident_c @ SV365 @ SY562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1926]) ).

thf(1955,plain,
    ! [SV366: $i] :
      ( ( ! [SY563: $i] :
            ( ~ ( inner_point @ SV366 @ SY563 )
            | ~ ( end_point @ SV366 @ SY563 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1927]) ).

thf(1956,plain,
    ! [SV345: $i,SV367: $i] :
      ( ( ( ~ ( end_point @ SV367 @ SV345 ) )
        = $true )
      | ( ( closed @ SV345 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1928]) ).

thf(1957,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
                          | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
                    | ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1929]) ).

thf(1958,plain,
    ! [SV368: $i] :
      ( ( ! [SY564: $i] :
            ( ~ ( end_point @ SV368 @ SY564 )
            | ! [SY565: $i,SY566: $i] :
                ( ~ ( part_of @ SY565 @ SY564 )
                | ~ ( part_of @ SY566 @ SY564 )
                | ~ ( incident_c @ SV368 @ SY565 )
                | ~ ( incident_c @ SV368 @ SY566 )
                | ( part_of @ SY565 @ SY566 )
                | ( part_of @ SY566 @ SY565 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1930]) ).

thf(1959,plain,
    ! [SV369: $i] :
      ( ( ! [SY567: $i] :
            ( ~ ( end_point @ SV369 @ SY567 )
            | ( incident_c @ SV369 @ SY567 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1931]) ).

thf(1960,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) )
        = $true )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1932]) ).

thf(1961,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
        = $true )
      | ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 )
        = $true )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1933]) ).

thf(1962,plain,
    ! [SV348: $i,SV357: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV357 )
          | ~ ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV348 ) )
        = $false )
      | ( ( part_of @ SV357 @ SV348 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1934]) ).

thf(1963,plain,
    ! [SV349: $i,SV358: $i] :
      ( ( ( part_of @ SV358 @ SV349 )
        = $false )
      | ( ( ! [SY555: $i] :
              ( ~ ( incident_c @ SY555 @ SV358 )
              | ( incident_c @ SY555 @ SV349 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1935]) ).

thf(1964,plain,
    ! [SV337: $i,SV328: $i] :
      ( ( ( SV328
          = ( sum @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) ) )
        = $true )
      | ( ( inner_point @ SV337 @ SV328 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1936]) ).

thf(1965,plain,
    ! [SV328: $i,SV337: $i] :
      ( ( ( meet @ SV337 @ ( sK9_C1 @ SV337 @ SV328 ) @ ( sK10_SY68 @ SV337 @ SV328 ) )
        = $true )
      | ( ( inner_point @ SV337 @ SV328 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1937]) ).

thf(1966,plain,
    ! [SV350: $i,SV363: $i] :
      ( ( ( end_point @ SV363 @ SV350 )
        = $false )
      | ( ( open @ SV350 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1938]) ).

thf(1967,plain,
    ! [SV341: $i,SV338: $i,SV318: $i,SV330: $i] :
      ( ( ( ~ ( part_of @ SV330 @ SV318 ) )
        = $true )
      | ( ( ~ ( part_of @ SV338 @ SV318 ) )
        = $true )
      | ( ( ~ ( part_of @ SV341 @ SV318 ) )
        = $true )
      | ( ( ! [SY541: $i] :
              ( ~ ( end_point @ SY541 @ SV330 )
              | ~ ( end_point @ SY541 @ SV338 )
              | ~ ( end_point @ SY541 @ SV341 ) ) )
        = $true )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1940]) ).

thf(1968,plain,
    ! [SV342: $i,SV339: $i,SV320: $i,SV331: $i] :
      ( ( ( end_point @ SV331 @ SV320 )
        = $false )
      | ( ( ~ ( end_point @ SV339 @ SV320 ) )
        = $true )
      | ( ( ~ ( end_point @ SV342 @ SV320 ) )
        = $true )
      | ( ( ( SV339 = SV342 )
          | ( SV331 = SV339 )
          | ( SV331 = SV342 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1941]) ).

thf(1969,plain,
    ! [SV321: $i,SV340: $i,SV332: $i,SV370: $i] :
      ( ( ( ~ ( meet @ SV370 @ SV332 @ SV340 ) )
        = $true )
      | ( ( closed @ SV321 )
        = $false )
      | ( ( ( SV321
           != ( sum @ SV332 @ SV340 ) ) )
        = $true )
      | ( ( ! [SY540: $i] :
              ( ~ ( end_point @ SY540 @ SV332 )
              | ( meet @ SY540 @ SV332 @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1942]) ).

thf(1970,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
                    | ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
                  | ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1943]) ).

thf(1971,plain,
    ! [SV371: $i,SV323: $i] :
      ( ( ! [SY568: $i] :
            ( ~ ( meet @ SV323 @ SV371 @ SY568 )
            | ~ ( ~ ! [SY569: $i] :
                      ( ~ ( incident_c @ SY569 @ SV371 )
                      | ~ ( incident_c @ SY569 @ SY568 )
                      | ( end_point @ SY569 @ SV371 ) )
                | ~ ! [SY570: $i] :
                      ( ~ ( incident_c @ SY570 @ SV371 )
                      | ~ ( incident_c @ SY570 @ SY568 )
                      | ( end_point @ SY570 @ SY568 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1944]) ).

thf(1972,plain,
    ! [SV323: $i] :
      ( ( ~ ! [SY498: $i] :
              ( ! [SY499: $i] :
                  ~ ( meet @ SV323 @ SY498 @ SY499 )
              | ( incident_c @ SV323 @ SY498 ) )
        | ~ ! [SY500: $i,SY501: $i] :
              ( ~ ( meet @ SV323 @ SY500 @ SY501 )
              | ( incident_c @ SV323 @ SY501 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1945]) ).

thf(1973,plain,
    ! [SV324: $i,SV334: $i] :
      ( ( ( SV334
          = ( sK8_Q @ SV334 @ SV324 ) )
        = $false )
      | ( ( end_point @ SV334 @ SV324 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1946]) ).

thf(1974,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                    | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                    | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) )
          | ~ ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
              | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 )
              | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1948]) ).

thf(1975,plain,
    ! [SV361: $i,SV354: $i,SV325: $i] :
      ( ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY556: $i] :
                    ( ~ ( incident_c @ SY556 @ SV325 )
                    | ( incident_c @ SY556 @ SV354 )
                    | ( incident_c @ SY556 @ SV361 ) )
              | ~ ~ ( ~ ! [SY553: $i] :
                          ( ~ ( incident_c @ SY553 @ SV354 )
                          | ( incident_c @ SY553 @ SV325 ) )
                    | ~ ! [SY558: $i] :
                          ( ~ ( incident_c @ SY558 @ SV361 )
                          | ( incident_c @ SY558 @ SV325 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1949]) ).

thf(1976,plain,
    ! [SV362: $i,SV326: $i,SV364: $i,SV335: $i] :
      ( ( ( ( SV335 = SV364 )
          | ! [SY561: $i] :
              ( ~ ( end_point @ SV335 @ SY561 )
              | ~ ( part_of @ SY561 @ SV326 )
              | ~ ( end_point @ SV364 @ SY561 )
              | ~ ( inner_point @ SV362 @ SY561 ) ) )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1950]) ).

thf(1977,plain,
    ! [SV335: $i,SV326: $i] :
      ( ( ! [SY532: $i,SY533: $i] :
            ( ~ ( between_c @ SV326 @ SV335 @ SY532 @ SY533 )
            | ( SV335 != SY533 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1951]) ).

thf(1978,plain,
    ! [SV335: $i,SV326: $i] :
      ( ( ! [SY534: $i,SY535: $i] :
            ( ~ ( between_c @ SV326 @ SV335 @ SY534 @ SY535 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) @ SV326 ) )
                      | ~ ( end_point @ SY535 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) )
                | ~ ( inner_point @ SY534 @ ( sK5_Cpp @ SY535 @ SY534 @ SV335 @ SV326 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1952]) ).

thf(1979,plain,
    ! [SV355: $i,SV344: $i] :
      ( ( ( incident_c @ SV344 @ SV355 )
        = $false )
      | ( ( end_point @ SV344 @ SV355 )
        = $true )
      | ( ( inner_point @ SV344 @ SV355 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1953]) ).

thf(1980,plain,
    ! [SV372: $i,SV365: $i] :
      ( ( ~ ( inner_point @ SV365 @ SV372 )
        | ( incident_c @ SV365 @ SV372 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1954]) ).

thf(1981,plain,
    ! [SV373: $i,SV366: $i] :
      ( ( ~ ( inner_point @ SV366 @ SV373 )
        | ~ ( end_point @ SV366 @ SV373 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1955]) ).

thf(1982,plain,
    ! [SV345: $i,SV367: $i] :
      ( ( ( end_point @ SV367 @ SV345 )
        = $false )
      | ( ( closed @ SV345 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1956]) ).

thf(1983,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
                      | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
                | ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) ) )
          | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1957]) ).

thf(1984,plain,
    ! [SV374: $i,SV368: $i] :
      ( ( ~ ( end_point @ SV368 @ SV374 )
        | ! [SY571: $i,SY572: $i] :
            ( ~ ( part_of @ SY571 @ SV374 )
            | ~ ( part_of @ SY572 @ SV374 )
            | ~ ( incident_c @ SV368 @ SY571 )
            | ~ ( incident_c @ SV368 @ SY572 )
            | ( part_of @ SY571 @ SY572 )
            | ( part_of @ SY572 @ SY571 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1958]) ).

thf(1985,plain,
    ! [SV375: $i,SV369: $i] :
      ( ( ~ ( end_point @ SV369 @ SV375 )
        | ( incident_c @ SV369 @ SV375 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1959]) ).

thf(1986,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 ) )
        = $true )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1960]) ).

thf(1987,plain,
    ! [SV348: $i,SV357: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV357 ) )
        = $false )
      | ( ( part_of @ SV357 @ SV348 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1962]) ).

thf(1988,plain,
    ! [SV348: $i,SV357: $i] :
      ( ( ( ~ ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV348 ) )
        = $false )
      | ( ( part_of @ SV357 @ SV348 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1962]) ).

thf(1989,plain,
    ! [SV349: $i,SV358: $i,SV376: $i] :
      ( ( ( ~ ( incident_c @ SV376 @ SV358 )
          | ( incident_c @ SV376 @ SV349 ) )
        = $true )
      | ( ( part_of @ SV358 @ SV349 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1963]) ).

thf(1990,plain,
    ! [SV341: $i,SV338: $i,SV318: $i,SV330: $i] :
      ( ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( ~ ( part_of @ SV338 @ SV318 ) )
        = $true )
      | ( ( ~ ( part_of @ SV341 @ SV318 ) )
        = $true )
      | ( ( ! [SY541: $i] :
              ( ~ ( end_point @ SY541 @ SV330 )
              | ~ ( end_point @ SY541 @ SV338 )
              | ~ ( end_point @ SY541 @ SV341 ) ) )
        = $true )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1967]) ).

thf(1991,plain,
    ! [SV342: $i,SV331: $i,SV320: $i,SV339: $i] :
      ( ( ( end_point @ SV339 @ SV320 )
        = $false )
      | ( ( end_point @ SV331 @ SV320 )
        = $false )
      | ( ( ~ ( end_point @ SV342 @ SV320 ) )
        = $true )
      | ( ( ( SV339 = SV342 )
          | ( SV331 = SV339 )
          | ( SV331 = SV342 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1968]) ).

thf(1992,plain,
    ! [SV321: $i,SV340: $i,SV332: $i,SV370: $i] :
      ( ( ( meet @ SV370 @ SV332 @ SV340 )
        = $false )
      | ( ( closed @ SV321 )
        = $false )
      | ( ( ( SV321
           != ( sum @ SV332 @ SV340 ) ) )
        = $true )
      | ( ( ! [SY540: $i] :
              ( ~ ( end_point @ SY540 @ SV332 )
              | ( meet @ SY540 @ SV332 @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1969]) ).

thf(1993,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
                | ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
          | ~ ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
              | ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1970]) ).

thf(1994,plain,
    ! [SV377: $i,SV371: $i,SV323: $i] :
      ( ( ~ ( meet @ SV323 @ SV371 @ SV377 )
        | ~ ( ~ ! [SY573: $i] :
                  ( ~ ( incident_c @ SY573 @ SV371 )
                  | ~ ( incident_c @ SY573 @ SV377 )
                  | ( end_point @ SY573 @ SV371 ) )
            | ~ ! [SY574: $i] :
                  ( ~ ( incident_c @ SY574 @ SV371 )
                  | ~ ( incident_c @ SY574 @ SV377 )
                  | ( end_point @ SY574 @ SV377 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1971]) ).

thf(1995,plain,
    ! [SV323: $i] :
      ( ( ~ ! [SY498: $i] :
              ( ! [SY499: $i] :
                  ~ ( meet @ SV323 @ SY498 @ SY499 )
              | ( incident_c @ SV323 @ SY498 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1972]) ).

thf(1996,plain,
    ! [SV323: $i] :
      ( ( ~ ! [SY500: $i,SY501: $i] :
              ( ~ ( meet @ SV323 @ SY500 @ SY501 )
              | ( incident_c @ SV323 @ SY501 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1972]) ).

thf(1997,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                    | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                    | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1974]) ).

thf(1998,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
              | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 )
              | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1974]) ).

thf(1999,plain,
    ! [SV361: $i,SV354: $i,SV325: $i] :
      ( ( ( ~ ! [SY556: $i] :
                ( ~ ( incident_c @ SY556 @ SV325 )
                | ( incident_c @ SY556 @ SV354 )
                | ( incident_c @ SY556 @ SV361 ) )
          | ~ ~ ( ~ ! [SY553: $i] :
                      ( ~ ( incident_c @ SY553 @ SV354 )
                      | ( incident_c @ SY553 @ SV325 ) )
                | ~ ! [SY558: $i] :
                      ( ~ ( incident_c @ SY558 @ SV361 )
                      | ( incident_c @ SY558 @ SV325 ) ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1975]) ).

thf(2000,plain,
    ! [SV362: $i,SV326: $i,SV364: $i,SV335: $i] :
      ( ( ( SV335 = SV364 )
        = $true )
      | ( ( ! [SY561: $i] :
              ( ~ ( end_point @ SV335 @ SY561 )
              | ~ ( part_of @ SY561 @ SV326 )
              | ~ ( end_point @ SV364 @ SY561 )
              | ~ ( inner_point @ SV362 @ SY561 ) ) )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1976]) ).

thf(2001,plain,
    ! [SV378: $i,SV335: $i,SV326: $i] :
      ( ( ! [SY575: $i] :
            ( ~ ( between_c @ SV326 @ SV335 @ SV378 @ SY575 )
            | ( SV335 != SY575 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1977]) ).

thf(2002,plain,
    ! [SV379: $i,SV335: $i,SV326: $i] :
      ( ( ! [SY576: $i] :
            ( ~ ( between_c @ SV326 @ SV335 @ SV379 @ SY576 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SY576 @ SV379 @ SV335 @ SV326 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY576 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
                      | ~ ( end_point @ SY576 @ ( sK5_Cpp @ SY576 @ SV379 @ SV335 @ SV326 ) ) )
                | ~ ( inner_point @ SV379 @ ( sK5_Cpp @ SY576 @ SV379 @ SV335 @ SV326 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1978]) ).

thf(2003,plain,
    ! [SV372: $i,SV365: $i] :
      ( ( ( ~ ( inner_point @ SV365 @ SV372 ) )
        = $true )
      | ( ( incident_c @ SV365 @ SV372 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1980]) ).

thf(2004,plain,
    ! [SV373: $i,SV366: $i] :
      ( ( ( ~ ( inner_point @ SV366 @ SV373 ) )
        = $true )
      | ( ( ~ ( end_point @ SV366 @ SV373 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1981]) ).

thf(2005,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
                      | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
                | ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1983]) ).

thf(2006,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1983]) ).

thf(2007,plain,
    ! [SV374: $i,SV368: $i] :
      ( ( ( ~ ( end_point @ SV368 @ SV374 ) )
        = $true )
      | ( ( ! [SY571: $i,SY572: $i] :
              ( ~ ( part_of @ SY571 @ SV374 )
              | ~ ( part_of @ SY572 @ SV374 )
              | ~ ( incident_c @ SV368 @ SY571 )
              | ~ ( incident_c @ SV368 @ SY572 )
              | ( part_of @ SY571 @ SY572 )
              | ( part_of @ SY572 @ SY571 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1984]) ).

thf(2008,plain,
    ! [SV375: $i,SV369: $i] :
      ( ( ( ~ ( end_point @ SV369 @ SV375 ) )
        = $true )
      | ( ( incident_c @ SV369 @ SV375 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1985]) ).

thf(2009,plain,
    ! [SV327: $i,SV336: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV336 )
        = $false )
      | ( ( incident_c @ ( sK6_P @ SV336 @ SV327 ) @ SV327 )
        = $false )
      | ( ( SV327 = SV336 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1986]) ).

thf(2010,plain,
    ! [SV348: $i,SV357: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV357 )
        = $true )
      | ( ( part_of @ SV357 @ SV348 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1987]) ).

thf(2011,plain,
    ! [SV348: $i,SV357: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV348 ) )
        = $true )
      | ( ( part_of @ SV357 @ SV348 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1988]) ).

thf(2012,plain,
    ! [SV349: $i,SV358: $i,SV376: $i] :
      ( ( ( ~ ( incident_c @ SV376 @ SV358 ) )
        = $true )
      | ( ( incident_c @ SV376 @ SV349 )
        = $true )
      | ( ( part_of @ SV358 @ SV349 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1989]) ).

thf(2013,plain,
    ! [SV341: $i,SV330: $i,SV318: $i,SV338: $i] :
      ( ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( ~ ( part_of @ SV341 @ SV318 ) )
        = $true )
      | ( ( ! [SY541: $i] :
              ( ~ ( end_point @ SY541 @ SV330 )
              | ~ ( end_point @ SY541 @ SV338 )
              | ~ ( end_point @ SY541 @ SV341 ) ) )
        = $true )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1990]) ).

thf(2014,plain,
    ! [SV339: $i,SV331: $i,SV320: $i,SV342: $i] :
      ( ( ( end_point @ SV342 @ SV320 )
        = $false )
      | ( ( end_point @ SV331 @ SV320 )
        = $false )
      | ( ( end_point @ SV339 @ SV320 )
        = $false )
      | ( ( ( SV339 = SV342 )
          | ( SV331 = SV339 )
          | ( SV331 = SV342 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1991]) ).

thf(2015,plain,
    ! [SV370: $i,SV340: $i,SV332: $i,SV321: $i] :
      ( ( ( SV321
          = ( sum @ SV332 @ SV340 ) )
        = $false )
      | ( ( closed @ SV321 )
        = $false )
      | ( ( meet @ SV370 @ SV332 @ SV340 )
        = $false )
      | ( ( ! [SY540: $i] :
              ( ~ ( end_point @ SY540 @ SV332 )
              | ( meet @ SY540 @ SV332 @ SV340 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1992]) ).

thf(2016,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
                | ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1993]) ).

thf(2017,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
              | ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1993]) ).

thf(2018,plain,
    ! [SV377: $i,SV371: $i,SV323: $i] :
      ( ( ( ~ ( meet @ SV323 @ SV371 @ SV377 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY573: $i] :
                    ( ~ ( incident_c @ SY573 @ SV371 )
                    | ~ ( incident_c @ SY573 @ SV377 )
                    | ( end_point @ SY573 @ SV371 ) )
              | ~ ! [SY574: $i] :
                    ( ~ ( incident_c @ SY574 @ SV371 )
                    | ~ ( incident_c @ SY574 @ SV377 )
                    | ( end_point @ SY574 @ SV377 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1994]) ).

thf(2019,plain,
    ! [SV323: $i] :
      ( ( ! [SY498: $i] :
            ( ! [SY499: $i] :
                ~ ( meet @ SV323 @ SY498 @ SY499 )
            | ( incident_c @ SV323 @ SY498 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1995]) ).

thf(2020,plain,
    ! [SV323: $i] :
      ( ( ! [SY500: $i,SY501: $i] :
            ( ~ ( meet @ SV323 @ SY500 @ SY501 )
            | ( incident_c @ SV323 @ SY501 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1996]) ).

thf(2021,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                  | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
              | ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
                  | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1997]) ).

thf(2022,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
          | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 )
          | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1998]) ).

thf(2023,plain,
    ! [SV361: $i,SV354: $i,SV325: $i] :
      ( ( ( ~ ! [SY556: $i] :
                ( ~ ( incident_c @ SY556 @ SV325 )
                | ( incident_c @ SY556 @ SV354 )
                | ( incident_c @ SY556 @ SV361 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1999]) ).

thf(2024,plain,
    ! [SV361: $i,SV325: $i,SV354: $i] :
      ( ( ( ~ ~ ( ~ ! [SY553: $i] :
                      ( ~ ( incident_c @ SY553 @ SV354 )
                      | ( incident_c @ SY553 @ SV325 ) )
                | ~ ! [SY558: $i] :
                      ( ~ ( incident_c @ SY558 @ SV361 )
                      | ( incident_c @ SY558 @ SV325 ) ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1999]) ).

thf(2025,plain,
    ! [SV362: $i,SV364: $i,SV326: $i,SV380: $i,SV335: $i] :
      ( ( ( ~ ( end_point @ SV335 @ SV380 )
          | ~ ( part_of @ SV380 @ SV326 )
          | ~ ( end_point @ SV364 @ SV380 )
          | ~ ( inner_point @ SV362 @ SV380 ) )
        = $true )
      | ( ( SV335 = SV364 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2000]) ).

thf(2026,plain,
    ! [SV381: $i,SV378: $i,SV335: $i,SV326: $i] :
      ( ( ~ ( between_c @ SV326 @ SV335 @ SV378 @ SV381 )
        | ( SV335 != SV381 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2001]) ).

thf(2027,plain,
    ! [SV382: $i,SV379: $i,SV335: $i,SV326: $i] :
      ( ( ~ ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
                        | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
                  | ~ ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
            | ~ ( inner_point @ SV379 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2002]) ).

thf(2028,plain,
    ! [SV372: $i,SV365: $i] :
      ( ( ( inner_point @ SV365 @ SV372 )
        = $false )
      | ( ( incident_c @ SV365 @ SV372 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2003]) ).

thf(2029,plain,
    ! [SV373: $i,SV366: $i] :
      ( ( ( inner_point @ SV366 @ SV373 )
        = $false )
      | ( ( ~ ( end_point @ SV366 @ SV373 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2004]) ).

thf(2030,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                          | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
                    | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
              | ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2005]) ).

thf(2031,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
              | ~ ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2006]) ).

thf(2032,plain,
    ! [SV374: $i,SV368: $i] :
      ( ( ( end_point @ SV368 @ SV374 )
        = $false )
      | ( ( ! [SY571: $i,SY572: $i] :
              ( ~ ( part_of @ SY571 @ SV374 )
              | ~ ( part_of @ SY572 @ SV374 )
              | ~ ( incident_c @ SV368 @ SY571 )
              | ~ ( incident_c @ SV368 @ SY572 )
              | ( part_of @ SY571 @ SY572 )
              | ( part_of @ SY572 @ SY571 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2007]) ).

thf(2033,plain,
    ! [SV375: $i,SV369: $i] :
      ( ( ( end_point @ SV369 @ SV375 )
        = $false )
      | ( ( incident_c @ SV369 @ SV375 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2008]) ).

thf(2034,plain,
    ! [SV348: $i,SV357: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV357 @ SV348 ) @ SV348 )
        = $false )
      | ( ( part_of @ SV357 @ SV348 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2011]) ).

thf(2035,plain,
    ! [SV349: $i,SV358: $i,SV376: $i] :
      ( ( ( incident_c @ SV376 @ SV358 )
        = $false )
      | ( ( incident_c @ SV376 @ SV349 )
        = $true )
      | ( ( part_of @ SV358 @ SV349 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2012]) ).

thf(2036,plain,
    ! [SV338: $i,SV330: $i,SV318: $i,SV341: $i] :
      ( ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( ! [SY541: $i] :
              ( ~ ( end_point @ SY541 @ SV330 )
              | ~ ( end_point @ SY541 @ SV338 )
              | ~ ( end_point @ SY541 @ SV341 ) ) )
        = $true )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2013]) ).

thf(2037,plain,
    ! [SV320: $i,SV331: $i,SV342: $i,SV339: $i] :
      ( ( ( SV339 = SV342 )
        = $true )
      | ( ( ( SV331 = SV339 )
          | ( SV331 = SV342 ) )
        = $true )
      | ( ( end_point @ SV339 @ SV320 )
        = $false )
      | ( ( end_point @ SV331 @ SV320 )
        = $false )
      | ( ( end_point @ SV342 @ SV320 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2014]) ).

thf(2038,plain,
    ! [SV321: $i,SV370: $i,SV340: $i,SV332: $i,SV383: $i] :
      ( ( ( ~ ( end_point @ SV383 @ SV332 )
          | ( meet @ SV383 @ SV332 @ SV340 ) )
        = $true )
      | ( ( meet @ SV370 @ SV332 @ SV340 )
        = $false )
      | ( ( closed @ SV321 )
        = $false )
      | ( ( SV321
          = ( sum @ SV332 @ SV340 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2015]) ).

thf(2039,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
              | ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2016]) ).

thf(2040,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
          | ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2017]) ).

thf(2041,plain,
    ! [SV377: $i,SV371: $i,SV323: $i] :
      ( ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false )
      | ( ( ~ ( ~ ! [SY573: $i] :
                    ( ~ ( incident_c @ SY573 @ SV371 )
                    | ~ ( incident_c @ SY573 @ SV377 )
                    | ( end_point @ SY573 @ SV371 ) )
              | ~ ! [SY574: $i] :
                    ( ~ ( incident_c @ SY574 @ SV371 )
                    | ~ ( incident_c @ SY574 @ SV377 )
                    | ( end_point @ SY574 @ SV377 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2018]) ).

thf(2042,plain,
    ! [SV384: $i,SV323: $i] :
      ( ( ! [SY577: $i] :
            ~ ( meet @ SV323 @ SV384 @ SY577 )
        | ( incident_c @ SV323 @ SV384 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2019]) ).

thf(2043,plain,
    ! [SV385: $i,SV323: $i] :
      ( ( ! [SY578: $i] :
            ( ~ ( meet @ SV323 @ SV385 @ SY578 )
            | ( incident_c @ SV323 @ SY578 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2020]) ).

thf(2044,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
              | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
          | ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
              | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2021]) ).

thf(2045,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
        = $true )
      | ( ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 )
          | ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2022]) ).

thf(2046,plain,
    ! [SV361: $i,SV354: $i,SV325: $i] :
      ( ( ( ! [SY556: $i] :
              ( ~ ( incident_c @ SY556 @ SV325 )
              | ( incident_c @ SY556 @ SV354 )
              | ( incident_c @ SY556 @ SV361 ) ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2023]) ).

thf(2047,plain,
    ! [SV361: $i,SV325: $i,SV354: $i] :
      ( ( ( ~ ( ~ ! [SY553: $i] :
                    ( ~ ( incident_c @ SY553 @ SV354 )
                    | ( incident_c @ SY553 @ SV325 ) )
              | ~ ! [SY558: $i] :
                    ( ~ ( incident_c @ SY558 @ SV361 )
                    | ( incident_c @ SY558 @ SV325 ) ) ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2024]) ).

thf(2048,plain,
    ! [SV362: $i,SV364: $i,SV326: $i,SV380: $i,SV335: $i] :
      ( ( ( ~ ( end_point @ SV335 @ SV380 )
          | ~ ( part_of @ SV380 @ SV326 )
          | ~ ( end_point @ SV364 @ SV380 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV362 @ SV380 ) )
        = $true )
      | ( ( SV335 = SV364 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2025]) ).

thf(2049,plain,
    ! [SV381: $i,SV378: $i,SV335: $i,SV326: $i] :
      ( ( ( ~ ( between_c @ SV326 @ SV335 @ SV378 @ SV381 ) )
        = $true )
      | ( ( ( SV335 != SV381 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2026]) ).

thf(2050,plain,
    ! [SV382: $i,SV379: $i,SV335: $i,SV326: $i] :
      ( ( ( ~ ( between_c @ SV326 @ SV335 @ SV379 @ SV382 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
                    | ~ ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
              | ~ ( inner_point @ SV379 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2027]) ).

thf(2051,plain,
    ! [SV373: $i,SV366: $i] :
      ( ( ( end_point @ SV366 @ SV373 )
        = $false )
      | ( ( inner_point @ SV366 @ SV373 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2029]) ).

thf(2052,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
                | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
          | ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2030]) ).

thf(2053,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
          | ~ ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2031]) ).

thf(2054,plain,
    ! [SV368: $i,SV374: $i,SV386: $i] :
      ( ( ( ! [SY579: $i] :
              ( ~ ( part_of @ SV386 @ SV374 )
              | ~ ( part_of @ SY579 @ SV374 )
              | ~ ( incident_c @ SV368 @ SV386 )
              | ~ ( incident_c @ SV368 @ SY579 )
              | ( part_of @ SV386 @ SY579 )
              | ( part_of @ SY579 @ SV386 ) ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2032]) ).

thf(2055,plain,
    ! [SV318: $i,SV341: $i,SV338: $i,SV330: $i,SV387: $i] :
      ( ( ( ~ ( end_point @ SV387 @ SV330 )
          | ~ ( end_point @ SV387 @ SV338 )
          | ~ ( end_point @ SV387 @ SV341 ) )
        = $true )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2036]) ).

thf(2056,plain,
    ! [SV320: $i,SV342: $i,SV339: $i,SV331: $i] :
      ( ( ( SV331 = SV339 )
        = $true )
      | ( ( SV331 = SV342 )
        = $true )
      | ( ( SV339 = SV342 )
        = $true )
      | ( ( end_point @ SV339 @ SV320 )
        = $false )
      | ( ( end_point @ SV331 @ SV320 )
        = $false )
      | ( ( end_point @ SV342 @ SV320 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2037]) ).

thf(2057,plain,
    ! [SV321: $i,SV370: $i,SV340: $i,SV332: $i,SV383: $i] :
      ( ( ( ~ ( end_point @ SV383 @ SV332 ) )
        = $true )
      | ( ( meet @ SV383 @ SV332 @ SV340 )
        = $true )
      | ( ( meet @ SV370 @ SV332 @ SV340 )
        = $false )
      | ( ( closed @ SV321 )
        = $false )
      | ( ( SV321
          = ( sum @ SV332 @ SV340 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2038]) ).

thf(2058,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
          | ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2039]) ).

thf(2059,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 ) )
        = $true )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2040]) ).

thf(2060,plain,
    ! [SV323: $i,SV377: $i,SV371: $i] :
      ( ( ( ~ ! [SY573: $i] :
                ( ~ ( incident_c @ SY573 @ SV371 )
                | ~ ( incident_c @ SY573 @ SV377 )
                | ( end_point @ SY573 @ SV371 ) )
          | ~ ! [SY574: $i] :
                ( ~ ( incident_c @ SY574 @ SV371 )
                | ~ ( incident_c @ SY574 @ SV377 )
                | ( end_point @ SY574 @ SV377 ) ) )
        = $false )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2041]) ).

thf(2061,plain,
    ! [SV384: $i,SV323: $i] :
      ( ( ( ! [SY577: $i] :
              ~ ( meet @ SV323 @ SV384 @ SY577 ) )
        = $true )
      | ( ( incident_c @ SV323 @ SV384 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2042]) ).

thf(2062,plain,
    ! [SV388: $i,SV385: $i,SV323: $i] :
      ( ( ~ ( meet @ SV323 @ SV385 @ SV388 )
        | ( incident_c @ SV323 @ SV388 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2043]) ).

thf(2063,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
              | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2044]) ).

thf(2064,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
              | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2044]) ).

thf(2065,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2045]) ).

thf(2066,plain,
    ! [SV361: $i,SV354: $i,SV325: $i,SV389: $i] :
      ( ( ( ~ ( incident_c @ SV389 @ SV325 )
          | ( incident_c @ SV389 @ SV354 )
          | ( incident_c @ SV389 @ SV361 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2046]) ).

thf(2067,plain,
    ! [SV361: $i,SV325: $i,SV354: $i] :
      ( ( ( ~ ! [SY553: $i] :
                ( ~ ( incident_c @ SY553 @ SV354 )
                | ( incident_c @ SY553 @ SV325 ) )
          | ~ ! [SY558: $i] :
                ( ~ ( incident_c @ SY558 @ SV361 )
                | ( incident_c @ SY558 @ SV325 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2047]) ).

thf(2068,plain,
    ! [SV362: $i,SV364: $i,SV326: $i,SV380: $i,SV335: $i] :
      ( ( ( ~ ( end_point @ SV335 @ SV380 )
          | ~ ( part_of @ SV380 @ SV326 ) )
        = $true )
      | ( ( ~ ( end_point @ SV364 @ SV380 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV362 @ SV380 ) )
        = $true )
      | ( ( SV335 = SV364 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2048]) ).

thf(2069,plain,
    ! [SV381: $i,SV378: $i,SV335: $i,SV326: $i] :
      ( ( ( between_c @ SV326 @ SV335 @ SV378 @ SV381 )
        = $false )
      | ( ( ( SV335 != SV381 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2049]) ).

thf(2070,plain,
    ! [SV382: $i,SV379: $i,SV335: $i,SV326: $i] :
      ( ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
                    | ~ ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
              | ~ ( inner_point @ SV379 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2050]) ).

thf(2071,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
                | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2052]) ).

thf(2072,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( ~ ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2052]) ).

thf(2073,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2053]) ).

thf(2074,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2053]) ).

thf(2075,plain,
    ! [SV368: $i,SV390: $i,SV374: $i,SV386: $i] :
      ( ( ( ~ ( part_of @ SV386 @ SV374 )
          | ~ ( part_of @ SV390 @ SV374 )
          | ~ ( incident_c @ SV368 @ SV386 )
          | ~ ( incident_c @ SV368 @ SV390 )
          | ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2054]) ).

thf(2076,plain,
    ! [SV318: $i,SV341: $i,SV338: $i,SV330: $i,SV387: $i] :
      ( ( ( ~ ( end_point @ SV387 @ SV330 )
          | ~ ( end_point @ SV387 @ SV338 ) )
        = $true )
      | ( ( ~ ( end_point @ SV387 @ SV341 ) )
        = $true )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2055]) ).

thf(2077,plain,
    ! [SV321: $i,SV370: $i,SV340: $i,SV332: $i,SV383: $i] :
      ( ( ( end_point @ SV383 @ SV332 )
        = $false )
      | ( ( meet @ SV383 @ SV332 @ SV340 )
        = $true )
      | ( ( meet @ SV370 @ SV332 @ SV340 )
        = $false )
      | ( ( closed @ SV321 )
        = $false )
      | ( ( SV321
          = ( sum @ SV332 @ SV340 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2057]) ).

thf(2078,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2058]) ).

thf(2079,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2058]) ).

thf(2080,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $false )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2059]) ).

thf(2081,plain,
    ! [SV323: $i,SV377: $i,SV371: $i] :
      ( ( ( ~ ! [SY573: $i] :
                ( ~ ( incident_c @ SY573 @ SV371 )
                | ~ ( incident_c @ SY573 @ SV377 )
                | ( end_point @ SY573 @ SV371 ) ) )
        = $false )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2060]) ).

thf(2082,plain,
    ! [SV323: $i,SV377: $i,SV371: $i] :
      ( ( ( ~ ! [SY574: $i] :
                ( ~ ( incident_c @ SY574 @ SV371 )
                | ~ ( incident_c @ SY574 @ SV377 )
                | ( end_point @ SY574 @ SV377 ) ) )
        = $false )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2060]) ).

thf(2083,plain,
    ! [SV391: $i,SV384: $i,SV323: $i] :
      ( ( ( ~ ( meet @ SV323 @ SV384 @ SV391 ) )
        = $true )
      | ( ( incident_c @ SV323 @ SV384 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2061]) ).

thf(2084,plain,
    ! [SV388: $i,SV385: $i,SV323: $i] :
      ( ( ( ~ ( meet @ SV323 @ SV385 @ SV388 ) )
        = $true )
      | ( ( incident_c @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2062]) ).

thf(2085,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
          | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2063]) ).

thf(2086,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
          | ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2064]) ).

thf(2087,plain,
    ! [SV361: $i,SV354: $i,SV325: $i,SV389: $i] :
      ( ( ( ~ ( incident_c @ SV389 @ SV325 ) )
        = $true )
      | ( ( ( incident_c @ SV389 @ SV354 )
          | ( incident_c @ SV389 @ SV361 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2066]) ).

thf(2088,plain,
    ! [SV361: $i,SV325: $i,SV354: $i] :
      ( ( ( ~ ! [SY553: $i] :
                ( ~ ( incident_c @ SY553 @ SV354 )
                | ( incident_c @ SY553 @ SV325 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2067]) ).

thf(2089,plain,
    ! [SV354: $i,SV325: $i,SV361: $i] :
      ( ( ( ~ ! [SY558: $i] :
                ( ~ ( incident_c @ SY558 @ SV361 )
                | ( incident_c @ SY558 @ SV325 ) ) )
        = $false )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2067]) ).

thf(2090,plain,
    ! [SV362: $i,SV364: $i,SV326: $i,SV380: $i,SV335: $i] :
      ( ( ( ~ ( end_point @ SV335 @ SV380 ) )
        = $true )
      | ( ( ~ ( part_of @ SV380 @ SV326 ) )
        = $true )
      | ( ( ~ ( end_point @ SV364 @ SV380 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV362 @ SV380 ) )
        = $true )
      | ( ( SV335 = SV364 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2068]) ).

thf(2091,plain,
    ! [SV378: $i,SV326: $i,SV381: $i,SV335: $i] :
      ( ( ( SV335 = SV381 )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV378 @ SV381 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2069]) ).

thf(2092,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
                | ~ ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
          | ~ ( inner_point @ SV379 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2070]) ).

thf(2093,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                    | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
              | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2071]) ).

thf(2094,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2072]) ).

thf(2095,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2073]) ).

thf(2096,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2074]) ).

thf(2097,plain,
    ! [SV368: $i,SV390: $i,SV374: $i,SV386: $i] :
      ( ( ( ~ ( part_of @ SV386 @ SV374 )
          | ~ ( part_of @ SV390 @ SV374 )
          | ~ ( incident_c @ SV368 @ SV386 )
          | ~ ( incident_c @ SV368 @ SV390 ) )
        = $true )
      | ( ( ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2075]) ).

thf(2098,plain,
    ! [SV318: $i,SV341: $i,SV338: $i,SV330: $i,SV387: $i] :
      ( ( ( ~ ( end_point @ SV387 @ SV330 ) )
        = $true )
      | ( ( ~ ( end_point @ SV387 @ SV338 ) )
        = $true )
      | ( ( ~ ( end_point @ SV387 @ SV341 ) )
        = $true )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2076]) ).

thf(2099,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2078]) ).

thf(2100,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2079]) ).

thf(2101,plain,
    ! [SV323: $i,SV352: $i,SV359: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV352 )
          | ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2080]) ).

thf(2102,plain,
    ! [SV323: $i,SV377: $i,SV371: $i] :
      ( ( ( ! [SY573: $i] :
              ( ~ ( incident_c @ SY573 @ SV371 )
              | ~ ( incident_c @ SY573 @ SV377 )
              | ( end_point @ SY573 @ SV371 ) ) )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2081]) ).

thf(2103,plain,
    ! [SV323: $i,SV377: $i,SV371: $i] :
      ( ( ( ! [SY574: $i] :
              ( ~ ( incident_c @ SY574 @ SV371 )
              | ~ ( incident_c @ SY574 @ SV377 )
              | ( end_point @ SY574 @ SV377 ) ) )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2082]) ).

thf(2104,plain,
    ! [SV391: $i,SV384: $i,SV323: $i] :
      ( ( ( meet @ SV323 @ SV384 @ SV391 )
        = $false )
      | ( ( incident_c @ SV323 @ SV384 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2083]) ).

thf(2105,plain,
    ! [SV388: $i,SV385: $i,SV323: $i] :
      ( ( ( meet @ SV323 @ SV385 @ SV388 )
        = $false )
      | ( ( incident_c @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2084]) ).

thf(2106,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2085]) ).

thf(2107,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2086]) ).

thf(2108,plain,
    ! [SV361: $i,SV354: $i,SV325: $i,SV389: $i] :
      ( ( ( incident_c @ SV389 @ SV325 )
        = $false )
      | ( ( ( incident_c @ SV389 @ SV354 )
          | ( incident_c @ SV389 @ SV361 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2087]) ).

thf(2109,plain,
    ! [SV361: $i,SV325: $i,SV354: $i] :
      ( ( ( ! [SY553: $i] :
              ( ~ ( incident_c @ SY553 @ SV354 )
              | ( incident_c @ SY553 @ SV325 ) ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2088]) ).

thf(2110,plain,
    ! [SV354: $i,SV325: $i,SV361: $i] :
      ( ( ( ! [SY558: $i] :
              ( ~ ( incident_c @ SY558 @ SV361 )
              | ( incident_c @ SY558 @ SV325 ) ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2089]) ).

thf(2111,plain,
    ! [SV362: $i,SV364: $i,SV326: $i,SV380: $i,SV335: $i] :
      ( ( ( end_point @ SV335 @ SV380 )
        = $false )
      | ( ( ~ ( part_of @ SV380 @ SV326 ) )
        = $true )
      | ( ( ~ ( end_point @ SV364 @ SV380 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV362 @ SV380 ) )
        = $true )
      | ( ( SV335 = SV364 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2090]) ).

thf(2112,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
                | ~ ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2092]) ).

thf(2113,plain,
    ! [SV326: $i,SV335: $i,SV382: $i,SV379: $i] :
      ( ( ( ~ ( inner_point @ SV379 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2092]) ).

thf(2114,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
          | ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2093]) ).

thf(2115,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( incident_c @ SV347 @ SV356 )
        = $false )
      | ( ( incident_c @ SV347 @ ( sK16_SY69 @ SV356 @ SV347 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2094]) ).

thf(2116,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2095]) ).

thf(2117,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2096]) ).

thf(2118,plain,
    ! [SV368: $i,SV390: $i,SV374: $i,SV386: $i] :
      ( ( ( ~ ( part_of @ SV386 @ SV374 )
          | ~ ( part_of @ SV390 @ SV374 )
          | ~ ( incident_c @ SV368 @ SV386 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV368 @ SV390 ) )
        = $true )
      | ( ( ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2097]) ).

thf(2119,plain,
    ! [SV318: $i,SV341: $i,SV338: $i,SV330: $i,SV387: $i] :
      ( ( ( end_point @ SV387 @ SV330 )
        = $false )
      | ( ( ~ ( end_point @ SV387 @ SV338 ) )
        = $true )
      | ( ( ~ ( end_point @ SV387 @ SV341 ) )
        = $true )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2098]) ).

thf(2120,plain,
    ! [SV359: $i,SV352: $i,SV323: $i] :
      ( ( ( ~ ( incident_c @ SV323 @ SV352 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2099]) ).

thf(2121,plain,
    ! [SV359: $i,SV352: $i,SV323: $i] :
      ( ( ( ~ ( incident_c @ SV323 @ SV352 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2100]) ).

thf(2122,plain,
    ! [SV359: $i,SV352: $i,SV323: $i] :
      ( ( ( ~ ( incident_c @ SV323 @ SV352 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 )
        = $false )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2101]) ).

thf(2123,plain,
    ! [SV323: $i,SV377: $i,SV371: $i,SV392: $i] :
      ( ( ( ~ ( incident_c @ SV392 @ SV371 )
          | ~ ( incident_c @ SV392 @ SV377 )
          | ( end_point @ SV392 @ SV371 ) )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2102]) ).

thf(2124,plain,
    ! [SV323: $i,SV377: $i,SV371: $i,SV393: $i] :
      ( ( ( ~ ( incident_c @ SV393 @ SV371 )
          | ~ ( incident_c @ SV393 @ SV377 )
          | ( end_point @ SV393 @ SV377 ) )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2103]) ).

thf(2125,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2106]) ).

thf(2126,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2107]) ).

thf(2127,plain,
    ! [SV325: $i,SV361: $i,SV354: $i,SV389: $i] :
      ( ( ( incident_c @ SV389 @ SV354 )
        = $true )
      | ( ( incident_c @ SV389 @ SV361 )
        = $true )
      | ( ( incident_c @ SV389 @ SV325 )
        = $false )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2108]) ).

thf(2128,plain,
    ! [SV361: $i,SV325: $i,SV354: $i,SV394: $i] :
      ( ( ( ~ ( incident_c @ SV394 @ SV354 )
          | ( incident_c @ SV394 @ SV325 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2109]) ).

thf(2129,plain,
    ! [SV354: $i,SV325: $i,SV361: $i,SV395: $i] :
      ( ( ( ~ ( incident_c @ SV395 @ SV361 )
          | ( incident_c @ SV395 @ SV325 ) )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2110]) ).

thf(2130,plain,
    ! [SV362: $i,SV364: $i,SV335: $i,SV326: $i,SV380: $i] :
      ( ( ( part_of @ SV380 @ SV326 )
        = $false )
      | ( ( end_point @ SV335 @ SV380 )
        = $false )
      | ( ( ~ ( end_point @ SV364 @ SV380 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV362 @ SV380 ) )
        = $true )
      | ( ( SV335 = SV364 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2111]) ).

thf(2131,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
                    | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
              | ~ ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) ) )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2112]) ).

thf(2132,plain,
    ! [SV326: $i,SV335: $i,SV382: $i,SV379: $i] :
      ( ( ( inner_point @ SV379 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2113]) ).

thf(2133,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
                | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2114]) ).

thf(2134,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( ~ ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2114]) ).

thf(2135,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( incident_c @ SV347 @ SV356 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ ( sK16_SY69 @ SV356 @ SV347 ) )
        = $false )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2116]) ).

thf(2136,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( incident_c @ SV347 @ SV356 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ ( sK15_C1 @ SV356 @ SV347 ) )
        = $false )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2117]) ).

thf(2137,plain,
    ! [SV368: $i,SV390: $i,SV374: $i,SV386: $i] :
      ( ( ( ~ ( part_of @ SV386 @ SV374 )
          | ~ ( part_of @ SV390 @ SV374 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV368 @ SV386 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV368 @ SV390 ) )
        = $true )
      | ( ( ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2118]) ).

thf(2138,plain,
    ! [SV318: $i,SV341: $i,SV330: $i,SV338: $i,SV387: $i] :
      ( ( ( end_point @ SV387 @ SV338 )
        = $false )
      | ( ( end_point @ SV387 @ SV330 )
        = $false )
      | ( ( ~ ( end_point @ SV387 @ SV341 ) )
        = $true )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2119]) ).

thf(2139,plain,
    ! [SV359: $i,SV352: $i,SV323: $i] :
      ( ( ( incident_c @ SV323 @ SV352 )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2120]) ).

thf(2140,plain,
    ! [SV359: $i,SV352: $i,SV323: $i] :
      ( ( ( incident_c @ SV323 @ SV352 )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2121]) ).

thf(2141,plain,
    ! [SV359: $i,SV352: $i,SV323: $i] :
      ( ( ( incident_c @ SV323 @ SV352 )
        = $false )
      | ( ( ~ ( incident_c @ SV323 @ SV359 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 )
        = $false )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2122]) ).

thf(2142,plain,
    ! [SV323: $i,SV377: $i,SV371: $i,SV392: $i] :
      ( ( ( ~ ( incident_c @ SV392 @ SV371 )
          | ~ ( incident_c @ SV392 @ SV377 ) )
        = $true )
      | ( ( end_point @ SV392 @ SV371 )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2123]) ).

thf(2143,plain,
    ! [SV323: $i,SV377: $i,SV371: $i,SV393: $i] :
      ( ( ( ~ ( incident_c @ SV393 @ SV371 )
          | ~ ( incident_c @ SV393 @ SV377 ) )
        = $true )
      | ( ( end_point @ SV393 @ SV377 )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2124]) ).

thf(2144,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV353 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
        = $false )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2125]) ).

thf(2145,plain,
    ! [SV325: $i,SV353: $i,SV360: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV360 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV360 @ SV353 @ SV325 ) @ SV325 )
        = $false )
      | ( ( SV325
          = ( sum @ SV353 @ SV360 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2126]) ).

thf(2146,plain,
    ! [SV361: $i,SV325: $i,SV354: $i,SV394: $i] :
      ( ( ( ~ ( incident_c @ SV394 @ SV354 ) )
        = $true )
      | ( ( incident_c @ SV394 @ SV325 )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2128]) ).

thf(2147,plain,
    ! [SV354: $i,SV325: $i,SV361: $i,SV395: $i] :
      ( ( ( ~ ( incident_c @ SV395 @ SV361 ) )
        = $true )
      | ( ( incident_c @ SV395 @ SV325 )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2129]) ).

thf(2148,plain,
    ! [SV362: $i,SV326: $i,SV335: $i,SV380: $i,SV364: $i] :
      ( ( ( end_point @ SV364 @ SV380 )
        = $false )
      | ( ( end_point @ SV335 @ SV380 )
        = $false )
      | ( ( part_of @ SV380 @ SV326 )
        = $false )
      | ( ( ~ ( inner_point @ SV362 @ SV380 ) )
        = $true )
      | ( ( SV335 = SV364 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2130]) ).

thf(2149,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
          | ~ ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2131]) ).

thf(2150,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
              | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2133]) ).

thf(2151,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2134]) ).

thf(2152,plain,
    ! [SV368: $i,SV390: $i,SV374: $i,SV386: $i] :
      ( ( ( ~ ( part_of @ SV386 @ SV374 ) )
        = $true )
      | ( ( ~ ( part_of @ SV390 @ SV374 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV368 @ SV386 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV368 @ SV390 ) )
        = $true )
      | ( ( ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2137]) ).

thf(2153,plain,
    ! [SV318: $i,SV338: $i,SV330: $i,SV341: $i,SV387: $i] :
      ( ( ( end_point @ SV387 @ SV341 )
        = $false )
      | ( ( end_point @ SV387 @ SV330 )
        = $false )
      | ( ( end_point @ SV387 @ SV338 )
        = $false )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( ( part_of @ SV341 @ SV330 )
          | ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2138]) ).

thf(2154,plain,
    ! [SV352: $i,SV359: $i,SV323: $i] :
      ( ( ( incident_c @ SV323 @ SV359 )
        = $false )
      | ( ( incident_c @ SV323 @ SV352 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2139]) ).

thf(2155,plain,
    ! [SV352: $i,SV359: $i,SV323: $i] :
      ( ( ( incident_c @ SV323 @ SV359 )
        = $false )
      | ( ( incident_c @ SV323 @ SV352 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 )
        = $true )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2140]) ).

thf(2156,plain,
    ! [SV352: $i,SV359: $i,SV323: $i] :
      ( ( ( incident_c @ SV323 @ SV359 )
        = $false )
      | ( ( incident_c @ SV323 @ SV352 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV352 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV359 @ SV352 @ SV323 ) @ SV359 )
        = $false )
      | ( ( meet @ SV323 @ SV352 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2141]) ).

thf(2157,plain,
    ! [SV323: $i,SV377: $i,SV371: $i,SV392: $i] :
      ( ( ( ~ ( incident_c @ SV392 @ SV371 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV392 @ SV377 ) )
        = $true )
      | ( ( end_point @ SV392 @ SV371 )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2142]) ).

thf(2158,plain,
    ! [SV323: $i,SV377: $i,SV371: $i,SV393: $i] :
      ( ( ( ~ ( incident_c @ SV393 @ SV371 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV393 @ SV377 ) )
        = $true )
      | ( ( end_point @ SV393 @ SV377 )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2143]) ).

thf(2159,plain,
    ! [SV361: $i,SV325: $i,SV354: $i,SV394: $i] :
      ( ( ( incident_c @ SV394 @ SV354 )
        = $false )
      | ( ( incident_c @ SV394 @ SV325 )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2146]) ).

thf(2160,plain,
    ! [SV354: $i,SV325: $i,SV361: $i,SV395: $i] :
      ( ( ( incident_c @ SV395 @ SV361 )
        = $false )
      | ( ( incident_c @ SV395 @ SV325 )
        = $true )
      | ( ( SV325
          = ( sum @ SV354 @ SV361 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2147]) ).

thf(2161,plain,
    ! [SV364: $i,SV335: $i,SV326: $i,SV380: $i,SV362: $i] :
      ( ( ( inner_point @ SV362 @ SV380 )
        = $false )
      | ( ( part_of @ SV380 @ SV326 )
        = $false )
      | ( ( end_point @ SV335 @ SV380 )
        = $false )
      | ( ( end_point @ SV364 @ SV380 )
        = $false )
      | ( ( SV335 = SV364 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV362 @ SV364 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2148]) ).

thf(2162,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2149]) ).

thf(2163,plain,
    ! [SV326: $i,SV335: $i,SV379: $i,SV382: $i] :
      ( ( ( ~ ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2149]) ).

thf(2164,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
          | ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2150]) ).

thf(2165,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( incident_c @ SV347 @ SV356 )
        = $false )
      | ( ( incident_c @ SV347 @ ( sK15_C1 @ SV356 @ SV347 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2151]) ).

thf(2166,plain,
    ! [SV368: $i,SV390: $i,SV374: $i,SV386: $i] :
      ( ( ( part_of @ SV386 @ SV374 )
        = $false )
      | ( ( ~ ( part_of @ SV390 @ SV374 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV368 @ SV386 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV368 @ SV390 ) )
        = $true )
      | ( ( ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2152]) ).

thf(2167,plain,
    ! [SV387: $i,SV318: $i,SV338: $i,SV330: $i,SV341: $i] :
      ( ( ( part_of @ SV341 @ SV330 )
        = $true )
      | ( ( ( part_of @ SV330 @ SV341 )
          | ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( end_point @ SV387 @ SV338 )
        = $false )
      | ( ( end_point @ SV387 @ SV330 )
        = $false )
      | ( ( end_point @ SV387 @ SV341 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2153]) ).

thf(2168,plain,
    ! [SV323: $i,SV377: $i,SV371: $i,SV392: $i] :
      ( ( ( incident_c @ SV392 @ SV371 )
        = $false )
      | ( ( ~ ( incident_c @ SV392 @ SV377 ) )
        = $true )
      | ( ( end_point @ SV392 @ SV371 )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2157]) ).

thf(2169,plain,
    ! [SV323: $i,SV377: $i,SV371: $i,SV393: $i] :
      ( ( ( incident_c @ SV393 @ SV371 )
        = $false )
      | ( ( ~ ( incident_c @ SV393 @ SV377 ) )
        = $true )
      | ( ( end_point @ SV393 @ SV377 )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2158]) ).

thf(2170,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( ~ ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
              | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) ) )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2162]) ).

thf(2171,plain,
    ! [SV326: $i,SV335: $i,SV379: $i,SV382: $i] :
      ( ( ( end_point @ SV382 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2163]) ).

thf(2172,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2164]) ).

thf(2173,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2164]) ).

thf(2174,plain,
    ! [SV368: $i,SV386: $i,SV374: $i,SV390: $i] :
      ( ( ( part_of @ SV390 @ SV374 )
        = $false )
      | ( ( part_of @ SV386 @ SV374 )
        = $false )
      | ( ( ~ ( incident_c @ SV368 @ SV386 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV368 @ SV390 ) )
        = $true )
      | ( ( ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2166]) ).

thf(2175,plain,
    ! [SV387: $i,SV318: $i,SV338: $i,SV341: $i,SV330: $i] :
      ( ( ( part_of @ SV330 @ SV341 )
        = $true )
      | ( ( ( part_of @ SV338 @ SV330 )
          | ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true )
      | ( ( part_of @ SV341 @ SV330 )
        = $true )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( end_point @ SV387 @ SV338 )
        = $false )
      | ( ( end_point @ SV387 @ SV330 )
        = $false )
      | ( ( end_point @ SV387 @ SV341 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2167]) ).

thf(2176,plain,
    ! [SV323: $i,SV371: $i,SV377: $i,SV392: $i] :
      ( ( ( incident_c @ SV392 @ SV377 )
        = $false )
      | ( ( incident_c @ SV392 @ SV371 )
        = $false )
      | ( ( end_point @ SV392 @ SV371 )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2168]) ).

thf(2177,plain,
    ! [SV323: $i,SV371: $i,SV377: $i,SV393: $i] :
      ( ( ( incident_c @ SV393 @ SV377 )
        = $false )
      | ( ( incident_c @ SV393 @ SV371 )
        = $false )
      | ( ( end_point @ SV393 @ SV377 )
        = $true )
      | ( ( meet @ SV323 @ SV371 @ SV377 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2169]) ).

thf(2178,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
          | ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2170]) ).

thf(2179,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2172]) ).

thf(2180,plain,
    ! [SV347: $i,SV356: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 )
        = $true )
      | ( ( ~ ( incident_c @ SV347 @ SV356 ) )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2173]) ).

thf(2181,plain,
    ! [SV390: $i,SV374: $i,SV386: $i,SV368: $i] :
      ( ( ( incident_c @ SV368 @ SV386 )
        = $false )
      | ( ( part_of @ SV386 @ SV374 )
        = $false )
      | ( ( part_of @ SV390 @ SV374 )
        = $false )
      | ( ( ~ ( incident_c @ SV368 @ SV390 ) )
        = $true )
      | ( ( ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2174]) ).

thf(2182,plain,
    ! [SV387: $i,SV318: $i,SV341: $i,SV330: $i,SV338: $i] :
      ( ( ( part_of @ SV338 @ SV330 )
        = $true )
      | ( ( ( part_of @ SV330 @ SV338 )
          | ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true )
      | ( ( part_of @ SV330 @ SV341 )
        = $true )
      | ( ( part_of @ SV341 @ SV330 )
        = $true )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( end_point @ SV387 @ SV338 )
        = $false )
      | ( ( end_point @ SV387 @ SV330 )
        = $false )
      | ( ( end_point @ SV387 @ SV341 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2175]) ).

thf(2183,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( ~ ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2178]) ).

thf(2184,plain,
    ! [SV326: $i,SV335: $i,SV379: $i,SV382: $i] :
      ( ( ( ~ ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 ) )
        = $false )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2178]) ).

thf(2185,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( incident_c @ SV347 @ SV356 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV356 @ SV347 ) @ SV356 )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2179]) ).

thf(2186,plain,
    ! [SV356: $i,SV347: $i] :
      ( ( ( incident_c @ SV347 @ SV356 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV356 @ SV347 ) @ SV356 )
        = $true )
      | ( ( end_point @ SV347 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2180]) ).

thf(2187,plain,
    ! [SV386: $i,SV374: $i,SV390: $i,SV368: $i] :
      ( ( ( incident_c @ SV368 @ SV390 )
        = $false )
      | ( ( part_of @ SV390 @ SV374 )
        = $false )
      | ( ( part_of @ SV386 @ SV374 )
        = $false )
      | ( ( incident_c @ SV368 @ SV386 )
        = $false )
      | ( ( ( part_of @ SV386 @ SV390 )
          | ( part_of @ SV390 @ SV386 ) )
        = $true )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2181]) ).

thf(2188,plain,
    ! [SV387: $i,SV318: $i,SV341: $i,SV338: $i,SV330: $i] :
      ( ( ( part_of @ SV330 @ SV338 )
        = $true )
      | ( ( ( part_of @ SV338 @ SV341 )
          | ( part_of @ SV341 @ SV338 ) )
        = $true )
      | ( ( part_of @ SV338 @ SV330 )
        = $true )
      | ( ( part_of @ SV330 @ SV341 )
        = $true )
      | ( ( part_of @ SV341 @ SV330 )
        = $true )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( end_point @ SV387 @ SV338 )
        = $false )
      | ( ( end_point @ SV387 @ SV330 )
        = $false )
      | ( ( end_point @ SV387 @ SV341 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2182]) ).

thf(2189,plain,
    ! [SV326: $i,SV379: $i,SV382: $i,SV335: $i] :
      ( ( ( end_point @ SV335 @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2183]) ).

thf(2190,plain,
    ! [SV326: $i,SV335: $i,SV379: $i,SV382: $i] :
      ( ( ( part_of @ ( sK5_Cpp @ SV382 @ SV379 @ SV335 @ SV326 ) @ SV326 )
        = $true )
      | ( ( between_c @ SV326 @ SV335 @ SV379 @ SV382 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2184]) ).

thf(2191,plain,
    ! [SV374: $i,SV368: $i,SV390: $i,SV386: $i] :
      ( ( ( part_of @ SV386 @ SV390 )
        = $true )
      | ( ( part_of @ SV390 @ SV386 )
        = $true )
      | ( ( incident_c @ SV368 @ SV386 )
        = $false )
      | ( ( part_of @ SV386 @ SV374 )
        = $false )
      | ( ( part_of @ SV390 @ SV374 )
        = $false )
      | ( ( incident_c @ SV368 @ SV390 )
        = $false )
      | ( ( end_point @ SV368 @ SV374 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2187]) ).

thf(2192,plain,
    ! [SV387: $i,SV318: $i,SV330: $i,SV341: $i,SV338: $i] :
      ( ( ( part_of @ SV338 @ SV341 )
        = $true )
      | ( ( part_of @ SV341 @ SV338 )
        = $true )
      | ( ( part_of @ SV330 @ SV338 )
        = $true )
      | ( ( part_of @ SV338 @ SV330 )
        = $true )
      | ( ( part_of @ SV330 @ SV341 )
        = $true )
      | ( ( part_of @ SV341 @ SV330 )
        = $true )
      | ( ( part_of @ SV341 @ SV318 )
        = $false )
      | ( ( part_of @ SV330 @ SV318 )
        = $false )
      | ( ( part_of @ SV338 @ SV318 )
        = $false )
      | ( ( end_point @ SV387 @ SV338 )
        = $false )
      | ( ( end_point @ SV387 @ SV330 )
        = $false )
      | ( ( end_point @ SV387 @ SV341 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2188]) ).

thf(2193,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[1788,2192,2191,2190,2189,2186,2185,2177,2176,2171,2165,2161,2160,2159,2156,2155,2154,2145,2144,2136,2135,2132,2127,2115,2105,2104,2091,2077,2065,2056,2051,2035,2034,2033,2028,2010,2009,1982,1979,1973,1966,1965,1964,1961,1947,1939,1902,1890,1886,1803,1789]) ).

thf(2194,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( incident_c @ ( sK18_P @ C1 @ C ) @ C1 )
            & ~ ( incident_c @ ( sK18_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)],[75]) ).

thf(2195,plain,
    ( ( ! [C: $i] :
          ( ! [C1: $i,C2: $i] :
              ( ( ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 ) )
                & ( ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ~ ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C2 ) )
                & ( ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C )
                  | ( incident_c @ ( sK17_Q @ C2 @ C1 @ C ) @ C1 )
                  | ( incident_c @ ( sK17_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)],[74]) ).

thf(2196,plain,
    ( ( ! [P: $i,C: $i] :
          ( ( ( part_of @ ( sK15_C1 @ C @ P ) @ C )
            & ( part_of @ ( sK16_SY69 @ C @ P ) @ C )
            & ( incident_c @ P @ ( sK15_C1 @ C @ P ) )
            & ( incident_c @ P @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK15_C1 @ C @ P ) @ ( sK16_SY69 @ C @ P ) )
            & ~ ( part_of @ ( sK16_SY69 @ C @ P ) @ ( sK15_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)],[73]) ).

thf(2197,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)],[72]) ).

thf(2198,plain,
    ( ( ! [P: $i] :
          ( ! [C: $i,C1: $i] :
              ( ( ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C )
                & ( incident_c @ ( sK14_Q @ C1 @ C @ P ) @ C1 )
                & ( ~ ( end_point @ ( sK14_Q @ C1 @ C @ P ) @ C )
                  | ~ ( end_point @ ( sK14_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)],[71]) ).

thf(2199,plain,
    ( ( ! [C: $i] :
          ( ~ ( closed @ C )
          | ! [P: $i] :
              ~ ( end_point @ P @ C ) )
      & ! [C: $i] :
          ( ( end_point @ ( sK13_P @ C ) @ C )
          | ( closed @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(2200,plain,
    ( ( ! [C: $i] :
          ( ! [P: $i] :
              ~ ( end_point @ P @ C )
          | ( open @ C ) )
      & ! [C: $i] :
          ( ~ ( open @ C )
          | ( end_point @ ( sK12_P @ C ) @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(2201,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( C1 = C )
          | ~ ( part_of @ C1 @ C )
          | ( open @ C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(2202,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)],[67]) ).

thf(2203,plain,
    ( ( ! [C: $i] : ( inner_point @ ( sK11_P @ C ) @ C ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(2204,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( inner_point @ P @ C )
          | ( ( C
              = ( sum @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) )
            & ( meet @ P @ ( sK9_C1 @ P @ C ) @ ( sK10_SY68 @ P @ C ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(2205,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)],[64]) ).

thf(2206,plain,
    ( ( ! [C: $i,P: $i] :
          ( ~ ( end_point @ P @ C )
          | ( ( P
             != ( sK8_Q @ P @ C ) )
            & ( end_point @ ( sK8_Q @ P @ C ) @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(2207,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)],[62]) ).

thf(2208,plain,
    ( ( ! [C1: $i,C2: $i] :
          ( ! [P: $i] :
              ~ ( meet @ P @ C1 @ C2 )
          | ( ( sK7_C @ C2 @ C1 )
            = ( sum @ C1 @ C2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(2209,plain,
    ( ( ! [C: $i,C1: $i] :
          ( ( ( ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ~ ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) )
            & ( ( incident_c @ ( sK6_P @ C1 @ C ) @ C )
              | ( incident_c @ ( sK6_P @ C1 @ C ) @ C1 ) ) )
          | ( C = C1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(2210,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 @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( part_of @ ( sK5_Cpp @ R @ Q @ P @ C ) @ C )
                & ( end_point @ R @ ( sK5_Cpp @ R @ Q @ P @ C ) )
                & ( inner_point @ Q @ ( sK5_Cpp @ R @ Q @ P @ C ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(2211,plain,
    ( ( between_c @ sK1_C @ sK2_SY62 @ sK3_SY65 @ sK4_SY67 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(2212,plain,
    ( ( sK2_SY62 = sK4_SY67 )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(2213,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                    | ~ ~ ( incident_c @ ( sK18_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)],[2194]) ).

thf(2214,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                                | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                          | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                    | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                          | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[2196]) ).

thf(2215,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX1 @ SX0 )
          | ~ ( ~ ( ( SX1
                   != ( sK8_Q @ SX1 @ SX0 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SX1 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2206]) ).

thf(2216,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ~ ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX0 )
                  | ( incident_c @ ( sK6_P @ SX1 @ SX0 ) @ SX1 ) ) )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2209]) ).

thf(2217,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX1 @ SX0 )
          | ~ ( ( SX0
               != ( sum @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) )
              | ~ ( meet @ SX1 @ ( sK9_C1 @ SX1 @ SX0 ) @ ( sK10_SY68 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2204]) ).

thf(2218,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 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) )
                                  | ~ ( end_point @ SX3 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ( inner_point @ SX2 @ ( sK5_Cpp @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2210]) ).

thf(2219,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( closed @ SX0 )
                | ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
                | ( closed @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2199]) ).

thf(2220,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( end_point @ SX1 @ SX0 )
                | ( open @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( open @ SX0 )
                | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2200]) ).

thf(2221,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)],[2197]) ).

thf(2222,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                                | ~ ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX0 )
                          | ( incident_c @ ( sK17_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ( incident_c @ ( sK17_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)],[2195]) ).

thf(2223,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                            | ~ ( incident_c @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX2 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SX2 @ SX1 @ SX0 ) @ SX1 )
                          | ~ ( end_point @ ( sK14_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)],[2198]) ).

thf(2224,plain,
    ! [SV396: $i] :
      ( ( ! [SY580: $i] :
            ( ( SY580 = SV396 )
            | ~ ( part_of @ SY580 @ SV396 )
            | ( open @ SY580 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2201]) ).

thf(2225,plain,
    ! [SV397: $i] :
      ( ( ! [SY581: $i,SY582: $i,SY583: $i] :
            ( ~ ( part_of @ SY581 @ SV397 )
            | ~ ( part_of @ SY582 @ SV397 )
            | ~ ( part_of @ SY583 @ SV397 )
            | ! [P: $i] :
                ( ~ ( end_point @ P @ SY581 )
                | ~ ( end_point @ P @ SY582 )
                | ~ ( end_point @ P @ SY583 ) )
            | ( part_of @ SY583 @ SY581 )
            | ( part_of @ SY581 @ SY583 )
            | ( part_of @ SY582 @ SY581 )
            | ( part_of @ SY581 @ SY582 )
            | ( part_of @ SY582 @ SY583 )
            | ( part_of @ SY583 @ SY582 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2202]) ).

thf(2226,plain,
    ! [SV398: $i] :
      ( ( inner_point @ ( sK11_P @ SV398 ) @ SV398 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2203]) ).

thf(2227,plain,
    ! [SV399: $i] :
      ( ( ! [SY585: $i,SY586: $i,SY587: $i] :
            ( ~ ( end_point @ SY585 @ SV399 )
            | ~ ( end_point @ SY586 @ SV399 )
            | ~ ( end_point @ SY587 @ SV399 )
            | ( SY586 = SY587 )
            | ( SY585 = SY586 )
            | ( SY585 = SY587 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2205]) ).

thf(2228,plain,
    ! [SV400: $i] :
      ( ( ! [SY588: $i,SY589: $i] :
            ( ~ ( closed @ SV400 )
            | ! [P: $i] :
                ~ ( meet @ P @ SY588 @ SY589 )
            | ( SV400
             != ( sum @ SY588 @ SY589 ) )
            | ! [Q: $i] :
                ( ~ ( end_point @ Q @ SY588 )
                | ( meet @ Q @ SY588 @ SY589 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2207]) ).

thf(2229,plain,
    ! [SV401: $i] :
      ( ( ! [SY592: $i] :
            ( ! [SY593: $i] :
                ~ ( meet @ SY593 @ SV401 @ SY592 )
            | ( ( sK7_C @ SY592 @ SV401 )
              = ( sum @ SV401 @ SY592 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2208]) ).

thf(2230,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_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)],[2213]) ).

thf(2231,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_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)],[2214]) ).

thf(2232,plain,
    ! [SV402: $i] :
      ( ( ! [SY594: $i] :
            ( ~ ( end_point @ SY594 @ SV402 )
            | ~ ( ~ ( ( SY594
                     != ( sK8_Q @ SY594 @ SV402 ) ) )
                | ~ ( end_point @ ( sK8_Q @ SY594 @ SV402 ) @ SV402 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2215]) ).

thf(2233,plain,
    ! [SV403: $i] :
      ( ( ! [SY595: $i] :
            ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SY595 @ SV403 ) @ SV403 )
                    | ~ ( incident_c @ ( sK6_P @ SY595 @ SV403 ) @ SY595 ) )
                | ~ ( ( incident_c @ ( sK6_P @ SY595 @ SV403 ) @ SV403 )
                    | ( incident_c @ ( sK6_P @ SY595 @ SV403 ) @ SY595 ) ) )
            | ( SV403 = SY595 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2216]) ).

thf(2234,plain,
    ! [SV404: $i] :
      ( ( ! [SY596: $i] :
            ( ~ ( inner_point @ SY596 @ SV404 )
            | ~ ( ( SV404
                 != ( sum @ ( sK9_C1 @ SY596 @ SV404 ) @ ( sK10_SY68 @ SY596 @ SV404 ) ) )
                | ~ ( meet @ SY596 @ ( sK9_C1 @ SY596 @ SV404 ) @ ( sK10_SY68 @ SY596 @ SV404 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2217]) ).

thf(2235,plain,
    ! [SV405: $i] :
      ( ( ! [SY597: $i] :
            ~ ( ~ ! [SY598: $i,SY599: $i] :
                    ( ( SY597 = SY599 )
                    | ! [SY600: $i] :
                        ( ~ ( end_point @ SY597 @ SY600 )
                        | ~ ( part_of @ SY600 @ SV405 )
                        | ~ ( end_point @ SY599 @ SY600 )
                        | ~ ( inner_point @ SY598 @ SY600 ) )
                    | ( between_c @ SV405 @ SY597 @ SY598 @ SY599 ) )
              | ~ ~ ( ~ ! [SY601: $i,SY602: $i] :
                          ( ~ ( between_c @ SV405 @ SY597 @ SY601 @ SY602 )
                          | ( SY597 != SY602 ) )
                    | ~ ! [SY603: $i,SY604: $i] :
                          ( ~ ( between_c @ SV405 @ SY597 @ SY603 @ SY604 )
                          | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SY597 @ ( sK5_Cpp @ SY604 @ SY603 @ SY597 @ SV405 ) )
                                          | ~ ( part_of @ ( sK5_Cpp @ SY604 @ SY603 @ SY597 @ SV405 ) @ SV405 ) )
                                    | ~ ( end_point @ SY604 @ ( sK5_Cpp @ SY604 @ SY603 @ SY597 @ SV405 ) ) )
                              | ~ ( inner_point @ SY603 @ ( sK5_Cpp @ SY604 @ SY603 @ SY597 @ SV405 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2218]) ).

thf(2236,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2219]) ).

thf(2237,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[2220]) ).

thf(2238,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)],[2221]) ).

thf(2239,plain,
    ! [SV406: $i] :
      ( ( ~ ( ~ ! [SY605: $i,SY606: $i] :
                  ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                                | ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY605 ) )
                            | ~ ( ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                                | ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY606 ) ) )
                      | ~ ( ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                          | ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY605 )
                          | ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY606 ) ) )
                  | ( SV406
                    = ( sum @ SY605 @ SY606 ) ) )
            | ~ ! [SY607: $i,SY608: $i] :
                  ( ( SV406
                   != ( sum @ SY607 @ SY608 ) )
                  | ~ ( ~ ! [SY609: $i] :
                            ( ~ ( incident_c @ SY609 @ SV406 )
                            | ( incident_c @ SY609 @ SY607 )
                            | ( incident_c @ SY609 @ SY608 ) )
                      | ~ ~ ( ~ ! [SY610: $i] :
                                  ( ~ ( incident_c @ SY610 @ SY607 )
                                  | ( incident_c @ SY610 @ SV406 ) )
                            | ~ ! [SY611: $i] :
                                  ( ~ ( incident_c @ SY611 @ SY608 )
                                  | ( incident_c @ SY611 @ SV406 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2222]) ).

thf(2240,plain,
    ! [SV407: $i] :
      ( ( ~ ( ~ ! [SY612: $i,SY613: $i] :
                  ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY612 )
                            | ~ ( incident_c @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY613 ) )
                      | ~ ( ~ ( end_point @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY612 )
                          | ~ ( end_point @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY613 ) ) )
                  | ~ ( incident_c @ SV407 @ SY612 )
                  | ~ ( incident_c @ SV407 @ SY613 )
                  | ( meet @ SV407 @ SY612 @ SY613 ) )
            | ~ ~ ( ~ ! [SY614: $i,SY615: $i] :
                        ( ~ ( meet @ SV407 @ SY614 @ SY615 )
                        | ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY614 )
                                  | ~ ( incident_c @ SX3 @ SY615 )
                                  | ( end_point @ SX3 @ SY614 ) )
                            | ~ ! [SX3: $i] :
                                  ( ~ ( incident_c @ SX3 @ SY614 )
                                  | ~ ( incident_c @ SX3 @ SY615 )
                                  | ( end_point @ SX3 @ SY615 ) ) ) )
                  | ~ ~ ( ~ ! [SY618: $i] :
                              ( ! [SY619: $i] :
                                  ~ ( meet @ SV407 @ SY618 @ SY619 )
                              | ( incident_c @ SV407 @ SY618 ) )
                        | ~ ! [SY620: $i,SY621: $i] :
                              ( ~ ( meet @ SV407 @ SY620 @ SY621 )
                              | ( incident_c @ SV407 @ SY621 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2223]) ).

thf(2241,plain,
    ! [SV396: $i,SV408: $i] :
      ( ( ( SV408 = SV396 )
        | ~ ( part_of @ SV408 @ SV396 )
        | ( open @ SV408 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2224]) ).

thf(2242,plain,
    ! [SV397: $i,SV409: $i] :
      ( ( ! [SY622: $i,SY623: $i] :
            ( ~ ( part_of @ SV409 @ SV397 )
            | ~ ( part_of @ SY622 @ SV397 )
            | ~ ( part_of @ SY623 @ SV397 )
            | ! [SY624: $i] :
                ( ~ ( end_point @ SY624 @ SV409 )
                | ~ ( end_point @ SY624 @ SY622 )
                | ~ ( end_point @ SY624 @ SY623 ) )
            | ( part_of @ SY623 @ SV409 )
            | ( part_of @ SV409 @ SY623 )
            | ( part_of @ SY622 @ SV409 )
            | ( part_of @ SV409 @ SY622 )
            | ( part_of @ SY622 @ SY623 )
            | ( part_of @ SY623 @ SY622 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2225]) ).

thf(2243,plain,
    ! [SV399: $i,SV410: $i] :
      ( ( ! [SY625: $i,SY626: $i] :
            ( ~ ( end_point @ SV410 @ SV399 )
            | ~ ( end_point @ SY625 @ SV399 )
            | ~ ( end_point @ SY626 @ SV399 )
            | ( SY625 = SY626 )
            | ( SV410 = SY625 )
            | ( SV410 = SY626 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2227]) ).

thf(2244,plain,
    ! [SV411: $i,SV400: $i] :
      ( ( ! [SY627: $i] :
            ( ~ ( closed @ SV400 )
            | ! [SY628: $i] :
                ~ ( meet @ SY628 @ SV411 @ SY627 )
            | ( SV400
             != ( sum @ SV411 @ SY627 ) )
            | ! [SY629: $i] :
                ( ~ ( end_point @ SY629 @ SV411 )
                | ( meet @ SY629 @ SV411 @ SY627 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2228]) ).

thf(2245,plain,
    ! [SV412: $i,SV401: $i] :
      ( ( ! [SY630: $i] :
            ~ ( meet @ SY630 @ SV401 @ SV412 )
        | ( ( sK7_C @ SV412 @ SV401 )
          = ( sum @ SV401 @ SV412 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2229]) ).

thf(2246,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
                | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
            | ( part_of @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2230]) ).

thf(2247,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)],[2230]) ).

thf(2248,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                            | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                      | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
            | ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2231]) ).

thf(2249,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)],[2231]) ).

thf(2250,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ~ ( end_point @ SV413 @ SV402 )
        | ~ ( ~ ( ( SV413
                 != ( sK8_Q @ SV413 @ SV402 ) ) )
            | ~ ( end_point @ ( sK8_Q @ SV413 @ SV402 ) @ SV402 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2232]) ).

thf(2251,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
                | ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) )
            | ~ ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
                | ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) ) )
        | ( SV403 = SV414 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2233]) ).

thf(2252,plain,
    ! [SV404: $i,SV415: $i] :
      ( ( ~ ( inner_point @ SV415 @ SV404 )
        | ~ ( ( SV404
             != ( sum @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) )
            | ~ ( meet @ SV415 @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2234]) ).

thf(2253,plain,
    ! [SV405: $i,SV416: $i] :
      ( ( ~ ( ~ ! [SY631: $i,SY632: $i] :
                  ( ( SV416 = SY632 )
                  | ! [SY633: $i] :
                      ( ~ ( end_point @ SV416 @ SY633 )
                      | ~ ( part_of @ SY633 @ SV405 )
                      | ~ ( end_point @ SY632 @ SY633 )
                      | ~ ( inner_point @ SY631 @ SY633 ) )
                  | ( between_c @ SV405 @ SV416 @ SY631 @ SY632 ) )
            | ~ ~ ( ~ ! [SY634: $i,SY635: $i] :
                        ( ~ ( between_c @ SV405 @ SV416 @ SY634 @ SY635 )
                        | ( SV416 != SY635 ) )
                  | ~ ! [SY636: $i,SY637: $i] :
                        ( ~ ( between_c @ SV405 @ SV416 @ SY636 @ SY637 )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) )
                                        | ~ ( part_of @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) @ SV405 ) )
                                  | ~ ( end_point @ SY637 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) )
                            | ~ ( inner_point @ SY636 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2235]) ).

thf(2254,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( closed @ SX0 )
            | ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2236]) ).

thf(2255,plain,
    ( ( ~ ! [SX0: $i] :
            ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
            | ( closed @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2236]) ).

thf(2256,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( end_point @ SX1 @ SX0 )
            | ( open @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2237]) ).

thf(2257,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( open @ SX0 )
            | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2237]) ).

thf(2258,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( incident_c @ SX0 @ SX1 )
            | ( end_point @ SX0 @ SX1 )
            | ( inner_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2238]) ).

thf(2259,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)],[2238]) ).

thf(2260,plain,
    ! [SV406: $i] :
      ( ( ~ ! [SY605: $i,SY606: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                            | ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY605 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                            | ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY606 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                      | ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY605 )
                      | ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY606 ) ) )
              | ( SV406
                = ( sum @ SY605 @ SY606 ) ) )
        | ~ ! [SY607: $i,SY608: $i] :
              ( ( SV406
               != ( sum @ SY607 @ SY608 ) )
              | ~ ( ~ ! [SY609: $i] :
                        ( ~ ( incident_c @ SY609 @ SV406 )
                        | ( incident_c @ SY609 @ SY607 )
                        | ( incident_c @ SY609 @ SY608 ) )
                  | ~ ~ ( ~ ! [SY610: $i] :
                              ( ~ ( incident_c @ SY610 @ SY607 )
                              | ( incident_c @ SY610 @ SV406 ) )
                        | ~ ! [SY611: $i] :
                              ( ~ ( incident_c @ SY611 @ SY608 )
                              | ( incident_c @ SY611 @ SV406 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2239]) ).

thf(2261,plain,
    ! [SV407: $i] :
      ( ( ~ ! [SY612: $i,SY613: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY612 )
                        | ~ ( incident_c @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY613 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY612 )
                      | ~ ( end_point @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY613 ) ) )
              | ~ ( incident_c @ SV407 @ SY612 )
              | ~ ( incident_c @ SV407 @ SY613 )
              | ( meet @ SV407 @ SY612 @ SY613 ) )
        | ~ ~ ( ~ ! [SY614: $i,SY615: $i] :
                    ( ~ ( meet @ SV407 @ SY614 @ SY615 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY614 )
                              | ~ ( incident_c @ SX3 @ SY615 )
                              | ( end_point @ SX3 @ SY614 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY614 )
                              | ~ ( incident_c @ SX3 @ SY615 )
                              | ( end_point @ SX3 @ SY615 ) ) ) )
              | ~ ~ ( ~ ! [SY618: $i] :
                          ( ! [SY619: $i] :
                              ~ ( meet @ SV407 @ SY618 @ SY619 )
                          | ( incident_c @ SV407 @ SY618 ) )
                    | ~ ! [SY620: $i,SY621: $i] :
                          ( ~ ( meet @ SV407 @ SY620 @ SY621 )
                          | ( incident_c @ SV407 @ SY621 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2240]) ).

thf(2262,plain,
    ! [SV396: $i,SV408: $i] :
      ( ( ( ( SV408 = SV396 )
          | ~ ( part_of @ SV408 @ SV396 ) )
        = $true )
      | ( ( open @ SV408 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2241]) ).

thf(2263,plain,
    ! [SV417: $i,SV397: $i,SV409: $i] :
      ( ( ! [SY638: $i] :
            ( ~ ( part_of @ SV409 @ SV397 )
            | ~ ( part_of @ SV417 @ SV397 )
            | ~ ( part_of @ SY638 @ SV397 )
            | ! [SY639: $i] :
                ( ~ ( end_point @ SY639 @ SV409 )
                | ~ ( end_point @ SY639 @ SV417 )
                | ~ ( end_point @ SY639 @ SY638 ) )
            | ( part_of @ SY638 @ SV409 )
            | ( part_of @ SV409 @ SY638 )
            | ( part_of @ SV417 @ SV409 )
            | ( part_of @ SV409 @ SV417 )
            | ( part_of @ SV417 @ SY638 )
            | ( part_of @ SY638 @ SV417 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2242]) ).

thf(2264,plain,
    ! [SV418: $i,SV399: $i,SV410: $i] :
      ( ( ! [SY640: $i] :
            ( ~ ( end_point @ SV410 @ SV399 )
            | ~ ( end_point @ SV418 @ SV399 )
            | ~ ( end_point @ SY640 @ SV399 )
            | ( SV418 = SY640 )
            | ( SV410 = SV418 )
            | ( SV410 = SY640 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2243]) ).

thf(2265,plain,
    ! [SV419: $i,SV411: $i,SV400: $i] :
      ( ( ~ ( closed @ SV400 )
        | ! [SY641: $i] :
            ~ ( meet @ SY641 @ SV411 @ SV419 )
        | ( SV400
         != ( sum @ SV411 @ SV419 ) )
        | ! [SY642: $i] :
            ( ~ ( end_point @ SY642 @ SV411 )
            | ( meet @ SY642 @ SV411 @ SV419 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2244]) ).

thf(2266,plain,
    ! [SV412: $i,SV401: $i] :
      ( ( ( ! [SY630: $i] :
              ~ ( meet @ SY630 @ SV401 @ SV412 ) )
        = $true )
      | ( ( ( sK7_C @ SV412 @ SV401 )
          = ( sum @ SV401 @ SV412 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2245]) ).

thf(2267,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX1 )
              | ~ ~ ( incident_c @ ( sK18_P @ SX1 @ SX0 ) @ SX0 ) )
          | ( part_of @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2246]) ).

thf(2268,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)],[2247]) ).

thf(2269,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ SX1 ) )
                          | ~ ( incident_c @ SX0 @ ( sK15_C1 @ SX1 @ SX0 ) ) )
                    | ~ ( incident_c @ SX0 @ ( sK16_SY69 @ SX1 @ SX0 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SX1 @ SX0 ) @ ( sK16_SY69 @ SX1 @ SX0 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SX1 @ SX0 ) @ ( sK15_C1 @ SX1 @ SX0 ) ) ) )
          | ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2248]) ).

thf(2270,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)],[2249]) ).

thf(2271,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ( ~ ( end_point @ SV413 @ SV402 ) )
        = $true )
      | ( ( ~ ( ~ ( ( SV413
                   != ( sK8_Q @ SV413 @ SV402 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV413 @ SV402 ) @ SV402 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2250]) ).

thf(2272,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
                  | ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) )
              | ~ ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
                  | ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) ) ) )
        = $true )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2251]) ).

thf(2273,plain,
    ! [SV404: $i,SV415: $i] :
      ( ( ( ~ ( inner_point @ SV415 @ SV404 ) )
        = $true )
      | ( ( ~ ( ( SV404
               != ( sum @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) )
              | ~ ( meet @ SV415 @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2252]) ).

thf(2274,plain,
    ! [SV405: $i,SV416: $i] :
      ( ( ~ ! [SY631: $i,SY632: $i] :
              ( ( SV416 = SY632 )
              | ! [SY633: $i] :
                  ( ~ ( end_point @ SV416 @ SY633 )
                  | ~ ( part_of @ SY633 @ SV405 )
                  | ~ ( end_point @ SY632 @ SY633 )
                  | ~ ( inner_point @ SY631 @ SY633 ) )
              | ( between_c @ SV405 @ SV416 @ SY631 @ SY632 ) )
        | ~ ~ ( ~ ! [SY634: $i,SY635: $i] :
                    ( ~ ( between_c @ SV405 @ SV416 @ SY634 @ SY635 )
                    | ( SV416 != SY635 ) )
              | ~ ! [SY636: $i,SY637: $i] :
                    ( ~ ( between_c @ SV405 @ SV416 @ SY636 @ SY637 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) @ SV405 ) )
                              | ~ ( end_point @ SY637 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) )
                        | ~ ( inner_point @ SY636 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2253]) ).

thf(2275,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( closed @ SX0 )
          | ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2254]) ).

thf(2276,plain,
    ( ( ! [SX0: $i] :
          ( ( end_point @ ( sK13_P @ SX0 ) @ SX0 )
          | ( closed @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2255]) ).

thf(2277,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( end_point @ SX1 @ SX0 )
          | ( open @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2256]) ).

thf(2278,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( open @ SX0 )
          | ( end_point @ ( sK12_P @ SX0 ) @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2257]) ).

thf(2279,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( incident_c @ SX0 @ SX1 )
          | ( end_point @ SX0 @ SX1 )
          | ( inner_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2258]) ).

thf(2280,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)],[2259]) ).

thf(2281,plain,
    ! [SV406: $i] :
      ( ( ~ ! [SY605: $i,SY606: $i] :
              ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                            | ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY605 ) )
                        | ~ ( ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                            | ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY606 ) ) )
                  | ~ ( ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                      | ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY605 )
                      | ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY606 ) ) )
              | ( SV406
                = ( sum @ SY605 @ SY606 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2260]) ).

thf(2282,plain,
    ! [SV406: $i] :
      ( ( ~ ! [SY607: $i,SY608: $i] :
              ( ( SV406
               != ( sum @ SY607 @ SY608 ) )
              | ~ ( ~ ! [SY609: $i] :
                        ( ~ ( incident_c @ SY609 @ SV406 )
                        | ( incident_c @ SY609 @ SY607 )
                        | ( incident_c @ SY609 @ SY608 ) )
                  | ~ ~ ( ~ ! [SY610: $i] :
                              ( ~ ( incident_c @ SY610 @ SY607 )
                              | ( incident_c @ SY610 @ SV406 ) )
                        | ~ ! [SY611: $i] :
                              ( ~ ( incident_c @ SY611 @ SY608 )
                              | ( incident_c @ SY611 @ SV406 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2260]) ).

thf(2283,plain,
    ! [SV407: $i] :
      ( ( ~ ! [SY612: $i,SY613: $i] :
              ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY612 )
                        | ~ ( incident_c @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY613 ) )
                  | ~ ( ~ ( end_point @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY612 )
                      | ~ ( end_point @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY613 ) ) )
              | ~ ( incident_c @ SV407 @ SY612 )
              | ~ ( incident_c @ SV407 @ SY613 )
              | ( meet @ SV407 @ SY612 @ SY613 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2261]) ).

thf(2284,plain,
    ! [SV407: $i] :
      ( ( ~ ~ ( ~ ! [SY614: $i,SY615: $i] :
                    ( ~ ( meet @ SV407 @ SY614 @ SY615 )
                    | ~ ( ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY614 )
                              | ~ ( incident_c @ SX3 @ SY615 )
                              | ( end_point @ SX3 @ SY614 ) )
                        | ~ ! [SX3: $i] :
                              ( ~ ( incident_c @ SX3 @ SY614 )
                              | ~ ( incident_c @ SX3 @ SY615 )
                              | ( end_point @ SX3 @ SY615 ) ) ) )
              | ~ ~ ( ~ ! [SY618: $i] :
                          ( ! [SY619: $i] :
                              ~ ( meet @ SV407 @ SY618 @ SY619 )
                          | ( incident_c @ SV407 @ SY618 ) )
                    | ~ ! [SY620: $i,SY621: $i] :
                          ( ~ ( meet @ SV407 @ SY620 @ SY621 )
                          | ( incident_c @ SV407 @ SY621 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2261]) ).

thf(2285,plain,
    ! [SV396: $i,SV408: $i] :
      ( ( ( SV408 = SV396 )
        = $true )
      | ( ( ~ ( part_of @ SV408 @ SV396 ) )
        = $true )
      | ( ( open @ SV408 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2262]) ).

thf(2286,plain,
    ! [SV420: $i,SV417: $i,SV397: $i,SV409: $i] :
      ( ( ~ ( part_of @ SV409 @ SV397 )
        | ~ ( part_of @ SV417 @ SV397 )
        | ~ ( part_of @ SV420 @ SV397 )
        | ! [SY643: $i] :
            ( ~ ( end_point @ SY643 @ SV409 )
            | ~ ( end_point @ SY643 @ SV417 )
            | ~ ( end_point @ SY643 @ SV420 ) )
        | ( part_of @ SV420 @ SV409 )
        | ( part_of @ SV409 @ SV420 )
        | ( part_of @ SV417 @ SV409 )
        | ( part_of @ SV409 @ SV417 )
        | ( part_of @ SV417 @ SV420 )
        | ( part_of @ SV420 @ SV417 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2263]) ).

thf(2287,plain,
    ! [SV421: $i,SV418: $i,SV399: $i,SV410: $i] :
      ( ( ~ ( end_point @ SV410 @ SV399 )
        | ~ ( end_point @ SV418 @ SV399 )
        | ~ ( end_point @ SV421 @ SV399 )
        | ( SV418 = SV421 )
        | ( SV410 = SV418 )
        | ( SV410 = SV421 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2264]) ).

thf(2288,plain,
    ! [SV419: $i,SV411: $i,SV400: $i] :
      ( ( ( ~ ( closed @ SV400 )
          | ! [SY641: $i] :
              ~ ( meet @ SY641 @ SV411 @ SV419 )
          | ( SV400
           != ( sum @ SV411 @ SV419 ) ) )
        = $true )
      | ( ( ! [SY642: $i] :
              ( ~ ( end_point @ SY642 @ SV411 )
              | ( meet @ SY642 @ SV411 @ SV419 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2265]) ).

thf(2289,plain,
    ! [SV412: $i,SV401: $i,SV422: $i] :
      ( ( ( ~ ( meet @ SV422 @ SV401 @ SV412 ) )
        = $true )
      | ( ( ( sK7_C @ SV412 @ SV401 )
          = ( sum @ SV401 @ SV412 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2266]) ).

thf(2290,plain,
    ! [SV423: $i] :
      ( ( ! [SY644: $i] :
            ( ~ ( ~ ( incident_c @ ( sK18_P @ SY644 @ SV423 ) @ SY644 )
                | ~ ~ ( incident_c @ ( sK18_P @ SY644 @ SV423 ) @ SV423 ) )
            | ( part_of @ SY644 @ SV423 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2267]) ).

thf(2291,plain,
    ! [SV424: $i] :
      ( ( ! [SY645: $i] :
            ( ~ ( part_of @ SY645 @ SV424 )
            | ! [SY646: $i] :
                ( ~ ( incident_c @ SY646 @ SY645 )
                | ( incident_c @ SY646 @ SV424 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2268]) ).

thf(2292,plain,
    ! [SV425: $i] :
      ( ( ! [SY647: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SY647 @ SV425 ) @ SY647 )
                                  | ~ ( part_of @ ( sK16_SY69 @ SY647 @ SV425 ) @ SY647 ) )
                            | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SY647 @ SV425 ) ) )
                      | ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SY647 @ SV425 ) ) )
                | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SY647 @ SV425 ) @ ( sK16_SY69 @ SY647 @ SV425 ) )
                      | ~ ~ ( part_of @ ( sK16_SY69 @ SY647 @ SV425 ) @ ( sK15_C1 @ SY647 @ SV425 ) ) ) )
            | ~ ( incident_c @ SV425 @ SY647 )
            | ( end_point @ SV425 @ SY647 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2269]) ).

thf(2293,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)],[2270]) ).

thf(2294,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ( end_point @ SV413 @ SV402 )
        = $false )
      | ( ( ~ ( ~ ( ( SV413
                   != ( sK8_Q @ SV413 @ SV402 ) ) )
              | ~ ( end_point @ ( sK8_Q @ SV413 @ SV402 ) @ SV402 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2271]) ).

thf(2295,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
              | ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) )
          | ~ ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
              | ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) ) )
        = $false )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2272]) ).

thf(2296,plain,
    ! [SV404: $i,SV415: $i] :
      ( ( ( inner_point @ SV415 @ SV404 )
        = $false )
      | ( ( ~ ( ( SV404
               != ( sum @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) )
              | ~ ( meet @ SV415 @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2273]) ).

thf(2297,plain,
    ! [SV405: $i,SV416: $i] :
      ( ( ~ ! [SY631: $i,SY632: $i] :
              ( ( SV416 = SY632 )
              | ! [SY633: $i] :
                  ( ~ ( end_point @ SV416 @ SY633 )
                  | ~ ( part_of @ SY633 @ SV405 )
                  | ~ ( end_point @ SY632 @ SY633 )
                  | ~ ( inner_point @ SY631 @ SY633 ) )
              | ( between_c @ SV405 @ SV416 @ SY631 @ SY632 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2274]) ).

thf(2298,plain,
    ! [SV416: $i,SV405: $i] :
      ( ( ~ ~ ( ~ ! [SY634: $i,SY635: $i] :
                    ( ~ ( between_c @ SV405 @ SV416 @ SY634 @ SY635 )
                    | ( SV416 != SY635 ) )
              | ~ ! [SY636: $i,SY637: $i] :
                    ( ~ ( between_c @ SV405 @ SV416 @ SY636 @ SY637 )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) )
                                    | ~ ( part_of @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) @ SV405 ) )
                              | ~ ( end_point @ SY637 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) )
                        | ~ ( inner_point @ SY636 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2274]) ).

thf(2299,plain,
    ! [SV426: $i] :
      ( ( ~ ( closed @ SV426 )
        | ! [SY648: $i] :
            ~ ( end_point @ SY648 @ SV426 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2275]) ).

thf(2300,plain,
    ! [SV427: $i] :
      ( ( ( end_point @ ( sK13_P @ SV427 ) @ SV427 )
        | ( closed @ SV427 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2276]) ).

thf(2301,plain,
    ! [SV428: $i] :
      ( ( ! [SY649: $i] :
            ~ ( end_point @ SY649 @ SV428 )
        | ( open @ SV428 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2277]) ).

thf(2302,plain,
    ! [SV429: $i] :
      ( ( ~ ( open @ SV429 )
        | ( end_point @ ( sK12_P @ SV429 ) @ SV429 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2278]) ).

thf(2303,plain,
    ! [SV430: $i] :
      ( ( ! [SY650: $i] :
            ( ~ ( incident_c @ SV430 @ SY650 )
            | ( end_point @ SV430 @ SY650 )
            | ( inner_point @ SV430 @ SY650 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2279]) ).

thf(2304,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)],[2280]) ).

thf(2305,plain,
    ! [SV406: $i] :
      ( ( ! [SY605: $i,SY606: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                          | ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY605 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                          | ~ ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY606 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SV406 )
                    | ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY605 )
                    | ( incident_c @ ( sK17_Q @ SY606 @ SY605 @ SV406 ) @ SY606 ) ) )
            | ( SV406
              = ( sum @ SY605 @ SY606 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2281]) ).

thf(2306,plain,
    ! [SV406: $i] :
      ( ( ! [SY607: $i,SY608: $i] :
            ( ( SV406
             != ( sum @ SY607 @ SY608 ) )
            | ~ ( ~ ! [SY609: $i] :
                      ( ~ ( incident_c @ SY609 @ SV406 )
                      | ( incident_c @ SY609 @ SY607 )
                      | ( incident_c @ SY609 @ SY608 ) )
                | ~ ~ ( ~ ! [SY610: $i] :
                            ( ~ ( incident_c @ SY610 @ SY607 )
                            | ( incident_c @ SY610 @ SV406 ) )
                      | ~ ! [SY611: $i] :
                            ( ~ ( incident_c @ SY611 @ SY608 )
                            | ( incident_c @ SY611 @ SV406 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2282]) ).

thf(2307,plain,
    ! [SV407: $i] :
      ( ( ! [SY612: $i,SY613: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY612 )
                      | ~ ( incident_c @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY613 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY612 )
                    | ~ ( end_point @ ( sK14_Q @ SY613 @ SY612 @ SV407 ) @ SY613 ) ) )
            | ~ ( incident_c @ SV407 @ SY612 )
            | ~ ( incident_c @ SV407 @ SY613 )
            | ( meet @ SV407 @ SY612 @ SY613 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2283]) ).

thf(2308,plain,
    ! [SV407: $i] :
      ( ( ~ ( ~ ! [SY614: $i,SY615: $i] :
                  ( ~ ( meet @ SV407 @ SY614 @ SY615 )
                  | ~ ( ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY614 )
                            | ~ ( incident_c @ SX3 @ SY615 )
                            | ( end_point @ SX3 @ SY614 ) )
                      | ~ ! [SX3: $i] :
                            ( ~ ( incident_c @ SX3 @ SY614 )
                            | ~ ( incident_c @ SX3 @ SY615 )
                            | ( end_point @ SX3 @ SY615 ) ) ) )
            | ~ ~ ( ~ ! [SY618: $i] :
                        ( ! [SY619: $i] :
                            ~ ( meet @ SV407 @ SY618 @ SY619 )
                        | ( incident_c @ SV407 @ SY618 ) )
                  | ~ ! [SY620: $i,SY621: $i] :
                        ( ~ ( meet @ SV407 @ SY620 @ SY621 )
                        | ( incident_c @ SV407 @ SY621 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2284]) ).

thf(2309,plain,
    ! [SV396: $i,SV408: $i] :
      ( ( ( part_of @ SV408 @ SV396 )
        = $false )
      | ( ( SV408 = SV396 )
        = $true )
      | ( ( open @ SV408 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2285]) ).

thf(2310,plain,
    ! [SV420: $i,SV417: $i,SV397: $i,SV409: $i] :
      ( ( ( ~ ( part_of @ SV409 @ SV397 )
          | ~ ( part_of @ SV417 @ SV397 )
          | ~ ( part_of @ SV420 @ SV397 )
          | ! [SY643: $i] :
              ( ~ ( end_point @ SY643 @ SV409 )
              | ~ ( end_point @ SY643 @ SV417 )
              | ~ ( end_point @ SY643 @ SV420 ) ) )
        = $true )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2286]) ).

thf(2311,plain,
    ! [SV421: $i,SV418: $i,SV399: $i,SV410: $i] :
      ( ( ( ~ ( end_point @ SV410 @ SV399 )
          | ~ ( end_point @ SV418 @ SV399 )
          | ~ ( end_point @ SV421 @ SV399 ) )
        = $true )
      | ( ( ( SV418 = SV421 )
          | ( SV410 = SV418 )
          | ( SV410 = SV421 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2287]) ).

thf(2312,plain,
    ! [SV419: $i,SV411: $i,SV400: $i] :
      ( ( ( ~ ( closed @ SV400 )
          | ! [SY641: $i] :
              ~ ( meet @ SY641 @ SV411 @ SV419 ) )
        = $true )
      | ( ( ( SV400
           != ( sum @ SV411 @ SV419 ) ) )
        = $true )
      | ( ( ! [SY642: $i] :
              ( ~ ( end_point @ SY642 @ SV411 )
              | ( meet @ SY642 @ SV411 @ SV419 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2288]) ).

thf(2313,plain,
    ! [SV412: $i,SV401: $i,SV422: $i] :
      ( ( ( meet @ SV422 @ SV401 @ SV412 )
        = $false )
      | ( ( ( sK7_C @ SV412 @ SV401 )
          = ( sum @ SV401 @ SV412 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2289]) ).

thf(2314,plain,
    ! [SV423: $i,SV431: $i] :
      ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV431 )
            | ~ ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV423 ) )
        | ( part_of @ SV431 @ SV423 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2290]) ).

thf(2315,plain,
    ! [SV424: $i,SV432: $i] :
      ( ( ~ ( part_of @ SV432 @ SV424 )
        | ! [SY651: $i] :
            ( ~ ( incident_c @ SY651 @ SV432 )
            | ( incident_c @ SY651 @ SV424 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2291]) ).

thf(2316,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                              | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
                        | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
                  | ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) ) )
            | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
                  | ~ ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) ) )
        | ~ ( incident_c @ SV425 @ SV433 )
        | ( end_point @ SV425 @ SV433 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2292]) ).

thf(2317,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)],[2293]) ).

thf(2318,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( end_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2293]) ).

thf(2319,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ( ~ ( ( SV413
               != ( sK8_Q @ SV413 @ SV402 ) ) )
          | ~ ( end_point @ ( sK8_Q @ SV413 @ SV402 ) @ SV402 ) )
        = $false )
      | ( ( end_point @ SV413 @ SV402 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2294]) ).

thf(2320,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
              | ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) ) )
        = $false )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2295]) ).

thf(2321,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
              | ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) ) )
        = $false )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2295]) ).

thf(2322,plain,
    ! [SV415: $i,SV404: $i] :
      ( ( ( ( SV404
           != ( sum @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) )
          | ~ ( meet @ SV415 @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) )
        = $false )
      | ( ( inner_point @ SV415 @ SV404 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2296]) ).

thf(2323,plain,
    ! [SV405: $i,SV416: $i] :
      ( ( ! [SY631: $i,SY632: $i] :
            ( ( SV416 = SY632 )
            | ! [SY633: $i] :
                ( ~ ( end_point @ SV416 @ SY633 )
                | ~ ( part_of @ SY633 @ SV405 )
                | ~ ( end_point @ SY632 @ SY633 )
                | ~ ( inner_point @ SY631 @ SY633 ) )
            | ( between_c @ SV405 @ SV416 @ SY631 @ SY632 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2297]) ).

thf(2324,plain,
    ! [SV416: $i,SV405: $i] :
      ( ( ~ ( ~ ! [SY634: $i,SY635: $i] :
                  ( ~ ( between_c @ SV405 @ SV416 @ SY634 @ SY635 )
                  | ( SV416 != SY635 ) )
            | ~ ! [SY636: $i,SY637: $i] :
                  ( ~ ( between_c @ SV405 @ SV416 @ SY636 @ SY637 )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) )
                                  | ~ ( part_of @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) @ SV405 ) )
                            | ~ ( end_point @ SY637 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) )
                      | ~ ( inner_point @ SY636 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2298]) ).

thf(2325,plain,
    ! [SV426: $i] :
      ( ( ( ~ ( closed @ SV426 ) )
        = $true )
      | ( ( ! [SY648: $i] :
              ~ ( end_point @ SY648 @ SV426 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2299]) ).

thf(2326,plain,
    ! [SV427: $i] :
      ( ( ( end_point @ ( sK13_P @ SV427 ) @ SV427 )
        = $true )
      | ( ( closed @ SV427 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2300]) ).

thf(2327,plain,
    ! [SV428: $i] :
      ( ( ( ! [SY649: $i] :
              ~ ( end_point @ SY649 @ SV428 ) )
        = $true )
      | ( ( open @ SV428 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2301]) ).

thf(2328,plain,
    ! [SV429: $i] :
      ( ( ( ~ ( open @ SV429 ) )
        = $true )
      | ( ( end_point @ ( sK12_P @ SV429 ) @ SV429 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2302]) ).

thf(2329,plain,
    ! [SV434: $i,SV430: $i] :
      ( ( ~ ( incident_c @ SV430 @ SV434 )
        | ( end_point @ SV430 @ SV434 )
        | ( inner_point @ SV430 @ SV434 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2303]) ).

thf(2330,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ( incident_c @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2304]) ).

thf(2331,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( inner_point @ SX0 @ SX1 )
            | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[2304]) ).

thf(2332,plain,
    ! [SV406: $i,SV435: $i] :
      ( ( ! [SY652: $i] :
            ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SY652 @ SV435 @ SV406 ) @ SV406 )
                          | ~ ( incident_c @ ( sK17_Q @ SY652 @ SV435 @ SV406 ) @ SV435 ) )
                      | ~ ( ~ ( incident_c @ ( sK17_Q @ SY652 @ SV435 @ SV406 ) @ SV406 )
                          | ~ ( incident_c @ ( sK17_Q @ SY652 @ SV435 @ SV406 ) @ SY652 ) ) )
                | ~ ( ( incident_c @ ( sK17_Q @ SY652 @ SV435 @ SV406 ) @ SV406 )
                    | ( incident_c @ ( sK17_Q @ SY652 @ SV435 @ SV406 ) @ SV435 )
                    | ( incident_c @ ( sK17_Q @ SY652 @ SV435 @ SV406 ) @ SY652 ) ) )
            | ( SV406
              = ( sum @ SV435 @ SY652 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2305]) ).

thf(2333,plain,
    ! [SV436: $i,SV406: $i] :
      ( ( ! [SY653: $i] :
            ( ( SV406
             != ( sum @ SV436 @ SY653 ) )
            | ~ ( ~ ! [SY654: $i] :
                      ( ~ ( incident_c @ SY654 @ SV406 )
                      | ( incident_c @ SY654 @ SV436 )
                      | ( incident_c @ SY654 @ SY653 ) )
                | ~ ~ ( ~ ! [SY655: $i] :
                            ( ~ ( incident_c @ SY655 @ SV436 )
                            | ( incident_c @ SY655 @ SV406 ) )
                      | ~ ! [SY611: $i] :
                            ( ~ ( incident_c @ SY611 @ SY653 )
                            | ( incident_c @ SY611 @ SV406 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2306]) ).

thf(2334,plain,
    ! [SV407: $i,SV437: $i] :
      ( ( ! [SY657: $i] :
            ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SY657 @ SV437 @ SV407 ) @ SV437 )
                      | ~ ( incident_c @ ( sK14_Q @ SY657 @ SV437 @ SV407 ) @ SY657 ) )
                | ~ ( ~ ( end_point @ ( sK14_Q @ SY657 @ SV437 @ SV407 ) @ SV437 )
                    | ~ ( end_point @ ( sK14_Q @ SY657 @ SV437 @ SV407 ) @ SY657 ) ) )
            | ~ ( incident_c @ SV407 @ SV437 )
            | ~ ( incident_c @ SV407 @ SY657 )
            | ( meet @ SV407 @ SV437 @ SY657 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2307]) ).

thf(2335,plain,
    ! [SV407: $i] :
      ( ( ~ ! [SY614: $i,SY615: $i] :
              ( ~ ( meet @ SV407 @ SY614 @ SY615 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY614 )
                        | ~ ( incident_c @ SX3 @ SY615 )
                        | ( end_point @ SX3 @ SY614 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY614 )
                        | ~ ( incident_c @ SX3 @ SY615 )
                        | ( end_point @ SX3 @ SY615 ) ) ) )
        | ~ ~ ( ~ ! [SY618: $i] :
                    ( ! [SY619: $i] :
                        ~ ( meet @ SV407 @ SY618 @ SY619 )
                    | ( incident_c @ SV407 @ SY618 ) )
              | ~ ! [SY620: $i,SY621: $i] :
                    ( ~ ( meet @ SV407 @ SY620 @ SY621 )
                    | ( incident_c @ SV407 @ SY621 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2308]) ).

thf(2336,plain,
    ! [SV420: $i,SV417: $i,SV397: $i,SV409: $i] :
      ( ( ( ~ ( part_of @ SV409 @ SV397 )
          | ~ ( part_of @ SV417 @ SV397 )
          | ~ ( part_of @ SV420 @ SV397 ) )
        = $true )
      | ( ( ! [SY643: $i] :
              ( ~ ( end_point @ SY643 @ SV409 )
              | ~ ( end_point @ SY643 @ SV417 )
              | ~ ( end_point @ SY643 @ SV420 ) ) )
        = $true )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2310]) ).

thf(2337,plain,
    ! [SV421: $i,SV418: $i,SV399: $i,SV410: $i] :
      ( ( ( ~ ( end_point @ SV410 @ SV399 )
          | ~ ( end_point @ SV418 @ SV399 ) )
        = $true )
      | ( ( ~ ( end_point @ SV421 @ SV399 ) )
        = $true )
      | ( ( ( SV418 = SV421 )
          | ( SV410 = SV418 )
          | ( SV410 = SV421 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2311]) ).

thf(2338,plain,
    ! [SV419: $i,SV411: $i,SV400: $i] :
      ( ( ( ~ ( closed @ SV400 ) )
        = $true )
      | ( ( ! [SY641: $i] :
              ~ ( meet @ SY641 @ SV411 @ SV419 ) )
        = $true )
      | ( ( ( SV400
           != ( sum @ SV411 @ SV419 ) ) )
        = $true )
      | ( ( ! [SY642: $i] :
              ( ~ ( end_point @ SY642 @ SV411 )
              | ( meet @ SY642 @ SV411 @ SV419 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2312]) ).

thf(2339,plain,
    ! [SV423: $i,SV431: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV431 )
              | ~ ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV423 ) ) )
        = $true )
      | ( ( part_of @ SV431 @ SV423 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2314]) ).

thf(2340,plain,
    ! [SV424: $i,SV432: $i] :
      ( ( ( ~ ( part_of @ SV432 @ SV424 ) )
        = $true )
      | ( ( ! [SY651: $i] :
              ( ~ ( incident_c @ SY651 @ SV432 )
              | ( incident_c @ SY651 @ SV424 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2315]) ).

thf(2341,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
                          | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
                    | ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) ) )
          | ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2316]) ).

thf(2342,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)],[2317]) ).

thf(2343,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( end_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2318]) ).

thf(2344,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ( ~ ( ( SV413
               != ( sK8_Q @ SV413 @ SV402 ) ) ) )
        = $false )
      | ( ( end_point @ SV413 @ SV402 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2319]) ).

thf(2345,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ( ~ ( end_point @ ( sK8_Q @ SV413 @ SV402 ) @ SV402 ) )
        = $false )
      | ( ( end_point @ SV413 @ SV402 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2319]) ).

thf(2346,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
          | ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) )
        = $true )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2320]) ).

thf(2347,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
          | ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) )
        = $true )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2321]) ).

thf(2348,plain,
    ! [SV415: $i,SV404: $i] :
      ( ( ( ( SV404
           != ( sum @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) ) )
        = $false )
      | ( ( inner_point @ SV415 @ SV404 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2322]) ).

thf(2349,plain,
    ! [SV404: $i,SV415: $i] :
      ( ( ( ~ ( meet @ SV415 @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) )
        = $false )
      | ( ( inner_point @ SV415 @ SV404 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2322]) ).

thf(2350,plain,
    ! [SV438: $i,SV405: $i,SV416: $i] :
      ( ( ! [SY658: $i] :
            ( ( SV416 = SY658 )
            | ! [SY659: $i] :
                ( ~ ( end_point @ SV416 @ SY659 )
                | ~ ( part_of @ SY659 @ SV405 )
                | ~ ( end_point @ SY658 @ SY659 )
                | ~ ( inner_point @ SV438 @ SY659 ) )
            | ( between_c @ SV405 @ SV416 @ SV438 @ SY658 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2323]) ).

thf(2351,plain,
    ! [SV416: $i,SV405: $i] :
      ( ( ~ ! [SY634: $i,SY635: $i] :
              ( ~ ( between_c @ SV405 @ SV416 @ SY634 @ SY635 )
              | ( SV416 != SY635 ) )
        | ~ ! [SY636: $i,SY637: $i] :
              ( ~ ( between_c @ SV405 @ SV416 @ SY636 @ SY637 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) @ SV405 ) )
                        | ~ ( end_point @ SY637 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) )
                  | ~ ( inner_point @ SY636 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2324]) ).

thf(2352,plain,
    ! [SV426: $i] :
      ( ( ( closed @ SV426 )
        = $false )
      | ( ( ! [SY648: $i] :
              ~ ( end_point @ SY648 @ SV426 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2325]) ).

thf(2353,plain,
    ! [SV428: $i,SV439: $i] :
      ( ( ( ~ ( end_point @ SV439 @ SV428 ) )
        = $true )
      | ( ( open @ SV428 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2327]) ).

thf(2354,plain,
    ! [SV429: $i] :
      ( ( ( open @ SV429 )
        = $false )
      | ( ( end_point @ ( sK12_P @ SV429 ) @ SV429 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2328]) ).

thf(2355,plain,
    ! [SV434: $i,SV430: $i] :
      ( ( ( ~ ( incident_c @ SV430 @ SV434 )
          | ( end_point @ SV430 @ SV434 ) )
        = $true )
      | ( ( inner_point @ SV430 @ SV434 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2329]) ).

thf(2356,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ( incident_c @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2330]) ).

thf(2357,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( inner_point @ SX0 @ SX1 )
          | ~ ( end_point @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[2331]) ).

thf(2358,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                      | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
                  | ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                      | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) )
            | ~ ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 )
                | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) )
        | ( SV406
          = ( sum @ SV435 @ SV440 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2332]) ).

thf(2359,plain,
    ! [SV441: $i,SV436: $i,SV406: $i] :
      ( ( ( SV406
         != ( sum @ SV436 @ SV441 ) )
        | ~ ( ~ ! [SY660: $i] :
                  ( ~ ( incident_c @ SY660 @ SV406 )
                  | ( incident_c @ SY660 @ SV436 )
                  | ( incident_c @ SY660 @ SV441 ) )
            | ~ ~ ( ~ ! [SY655: $i] :
                        ( ~ ( incident_c @ SY655 @ SV436 )
                        | ( incident_c @ SY655 @ SV406 ) )
                  | ~ ! [SY662: $i] :
                        ( ~ ( incident_c @ SY662 @ SV441 )
                        | ( incident_c @ SY662 @ SV406 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2333]) ).

thf(2360,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
                  | ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
            | ~ ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
                | ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) ) )
        | ~ ( incident_c @ SV407 @ SV437 )
        | ~ ( incident_c @ SV407 @ SV442 )
        | ( meet @ SV407 @ SV437 @ SV442 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2334]) ).

thf(2361,plain,
    ! [SV407: $i] :
      ( ( ~ ! [SY614: $i,SY615: $i] :
              ( ~ ( meet @ SV407 @ SY614 @ SY615 )
              | ~ ( ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY614 )
                        | ~ ( incident_c @ SX3 @ SY615 )
                        | ( end_point @ SX3 @ SY614 ) )
                  | ~ ! [SX3: $i] :
                        ( ~ ( incident_c @ SX3 @ SY614 )
                        | ~ ( incident_c @ SX3 @ SY615 )
                        | ( end_point @ SX3 @ SY615 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2335]) ).

thf(2362,plain,
    ! [SV407: $i] :
      ( ( ~ ~ ( ~ ! [SY618: $i] :
                    ( ! [SY619: $i] :
                        ~ ( meet @ SV407 @ SY618 @ SY619 )
                    | ( incident_c @ SV407 @ SY618 ) )
              | ~ ! [SY620: $i,SY621: $i] :
                    ( ~ ( meet @ SV407 @ SY620 @ SY621 )
                    | ( incident_c @ SV407 @ SY621 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2335]) ).

thf(2363,plain,
    ! [SV420: $i,SV417: $i,SV397: $i,SV409: $i] :
      ( ( ( ~ ( part_of @ SV409 @ SV397 )
          | ~ ( part_of @ SV417 @ SV397 ) )
        = $true )
      | ( ( ~ ( part_of @ SV420 @ SV397 ) )
        = $true )
      | ( ( ! [SY643: $i] :
              ( ~ ( end_point @ SY643 @ SV409 )
              | ~ ( end_point @ SY643 @ SV417 )
              | ~ ( end_point @ SY643 @ SV420 ) ) )
        = $true )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2336]) ).

thf(2364,plain,
    ! [SV421: $i,SV418: $i,SV399: $i,SV410: $i] :
      ( ( ( ~ ( end_point @ SV410 @ SV399 ) )
        = $true )
      | ( ( ~ ( end_point @ SV418 @ SV399 ) )
        = $true )
      | ( ( ~ ( end_point @ SV421 @ SV399 ) )
        = $true )
      | ( ( ( SV418 = SV421 )
          | ( SV410 = SV418 )
          | ( SV410 = SV421 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2337]) ).

thf(2365,plain,
    ! [SV419: $i,SV411: $i,SV400: $i] :
      ( ( ( closed @ SV400 )
        = $false )
      | ( ( ! [SY641: $i] :
              ~ ( meet @ SY641 @ SV411 @ SV419 ) )
        = $true )
      | ( ( ( SV400
           != ( sum @ SV411 @ SV419 ) ) )
        = $true )
      | ( ( ! [SY642: $i] :
              ( ~ ( end_point @ SY642 @ SV411 )
              | ( meet @ SY642 @ SV411 @ SV419 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2338]) ).

thf(2366,plain,
    ! [SV423: $i,SV431: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV431 )
          | ~ ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV423 ) )
        = $false )
      | ( ( part_of @ SV431 @ SV423 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2339]) ).

thf(2367,plain,
    ! [SV424: $i,SV432: $i] :
      ( ( ( part_of @ SV432 @ SV424 )
        = $false )
      | ( ( ! [SY651: $i] :
              ( ~ ( incident_c @ SY651 @ SV432 )
              | ( incident_c @ SY651 @ SV424 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2340]) ).

thf(2368,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                                | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
                          | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
                    | ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) ) )
              | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
                    | ~ ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2341]) ).

thf(2369,plain,
    ! [SV443: $i] :
      ( ( ! [SY663: $i] :
            ( ~ ( end_point @ SV443 @ SY663 )
            | ! [SY664: $i,SY665: $i] :
                ( ~ ( part_of @ SY664 @ SY663 )
                | ~ ( part_of @ SY665 @ SY663 )
                | ~ ( incident_c @ SV443 @ SY664 )
                | ~ ( incident_c @ SV443 @ SY665 )
                | ( part_of @ SY664 @ SY665 )
                | ( part_of @ SY665 @ SY664 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2342]) ).

thf(2370,plain,
    ! [SV444: $i] :
      ( ( ! [SY666: $i] :
            ( ~ ( end_point @ SV444 @ SY666 )
            | ( incident_c @ SV444 @ SY666 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2343]) ).

thf(2371,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ( ( SV413
           != ( sK8_Q @ SV413 @ SV402 ) ) )
        = $true )
      | ( ( end_point @ SV413 @ SV402 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2344]) ).

thf(2372,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ( end_point @ ( sK8_Q @ SV413 @ SV402 ) @ SV402 )
        = $true )
      | ( ( end_point @ SV413 @ SV402 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2345]) ).

thf(2373,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) )
        = $true )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2346]) ).

thf(2374,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
        = $true )
      | ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 )
        = $true )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2347]) ).

thf(2375,plain,
    ! [SV415: $i,SV404: $i] :
      ( ( ( SV404
          = ( sum @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) ) )
        = $true )
      | ( ( inner_point @ SV415 @ SV404 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2348]) ).

thf(2376,plain,
    ! [SV404: $i,SV415: $i] :
      ( ( ( meet @ SV415 @ ( sK9_C1 @ SV415 @ SV404 ) @ ( sK10_SY68 @ SV415 @ SV404 ) )
        = $true )
      | ( ( inner_point @ SV415 @ SV404 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2349]) ).

thf(2377,plain,
    ! [SV438: $i,SV405: $i,SV445: $i,SV416: $i] :
      ( ( ( SV416 = SV445 )
        | ! [SY667: $i] :
            ( ~ ( end_point @ SV416 @ SY667 )
            | ~ ( part_of @ SY667 @ SV405 )
            | ~ ( end_point @ SV445 @ SY667 )
            | ~ ( inner_point @ SV438 @ SY667 ) )
        | ( between_c @ SV405 @ SV416 @ SV438 @ SV445 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2350]) ).

thf(2378,plain,
    ! [SV416: $i,SV405: $i] :
      ( ( ~ ! [SY634: $i,SY635: $i] :
              ( ~ ( between_c @ SV405 @ SV416 @ SY634 @ SY635 )
              | ( SV416 != SY635 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2351]) ).

thf(2379,plain,
    ! [SV416: $i,SV405: $i] :
      ( ( ~ ! [SY636: $i,SY637: $i] :
              ( ~ ( between_c @ SV405 @ SV416 @ SY636 @ SY637 )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) )
                              | ~ ( part_of @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) @ SV405 ) )
                        | ~ ( end_point @ SY637 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) )
                  | ~ ( inner_point @ SY636 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2351]) ).

thf(2380,plain,
    ! [SV426: $i,SV446: $i] :
      ( ( ( ~ ( end_point @ SV446 @ SV426 ) )
        = $true )
      | ( ( closed @ SV426 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2352]) ).

thf(2381,plain,
    ! [SV428: $i,SV439: $i] :
      ( ( ( end_point @ SV439 @ SV428 )
        = $false )
      | ( ( open @ SV428 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2353]) ).

thf(2382,plain,
    ! [SV434: $i,SV430: $i] :
      ( ( ( ~ ( incident_c @ SV430 @ SV434 ) )
        = $true )
      | ( ( end_point @ SV430 @ SV434 )
        = $true )
      | ( ( inner_point @ SV430 @ SV434 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2355]) ).

thf(2383,plain,
    ! [SV447: $i] :
      ( ( ! [SY668: $i] :
            ( ~ ( inner_point @ SV447 @ SY668 )
            | ( incident_c @ SV447 @ SY668 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2356]) ).

thf(2384,plain,
    ! [SV448: $i] :
      ( ( ! [SY669: $i] :
            ( ~ ( inner_point @ SV448 @ SY669 )
            | ~ ( end_point @ SV448 @ SY669 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2357]) ).

thf(2385,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                        | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
                    | ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                        | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) )
              | ~ ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                  | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 )
                  | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2358]) ).

thf(2386,plain,
    ! [SV441: $i,SV436: $i,SV406: $i] :
      ( ( ( ( SV406
           != ( sum @ SV436 @ SV441 ) ) )
        = $true )
      | ( ( ~ ( ~ ! [SY660: $i] :
                    ( ~ ( incident_c @ SY660 @ SV406 )
                    | ( incident_c @ SY660 @ SV436 )
                    | ( incident_c @ SY660 @ SV441 ) )
              | ~ ~ ( ~ ! [SY655: $i] :
                          ( ~ ( incident_c @ SY655 @ SV436 )
                          | ( incident_c @ SY655 @ SV406 ) )
                    | ~ ! [SY662: $i] :
                          ( ~ ( incident_c @ SY662 @ SV441 )
                          | ( incident_c @ SY662 @ SV406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2359]) ).

thf(2387,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
                    | ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
                  | ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) ) )
          | ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2360]) ).

thf(2388,plain,
    ! [SV407: $i] :
      ( ( ! [SY614: $i,SY615: $i] :
            ( ~ ( meet @ SV407 @ SY614 @ SY615 )
            | ~ ( ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY614 )
                      | ~ ( incident_c @ SX3 @ SY615 )
                      | ( end_point @ SX3 @ SY614 ) )
                | ~ ! [SX3: $i] :
                      ( ~ ( incident_c @ SX3 @ SY614 )
                      | ~ ( incident_c @ SX3 @ SY615 )
                      | ( end_point @ SX3 @ SY615 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2361]) ).

thf(2389,plain,
    ! [SV407: $i] :
      ( ( ~ ( ~ ! [SY618: $i] :
                  ( ! [SY619: $i] :
                      ~ ( meet @ SV407 @ SY618 @ SY619 )
                  | ( incident_c @ SV407 @ SY618 ) )
            | ~ ! [SY620: $i,SY621: $i] :
                  ( ~ ( meet @ SV407 @ SY620 @ SY621 )
                  | ( incident_c @ SV407 @ SY621 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2362]) ).

thf(2390,plain,
    ! [SV420: $i,SV417: $i,SV397: $i,SV409: $i] :
      ( ( ( ~ ( part_of @ SV409 @ SV397 ) )
        = $true )
      | ( ( ~ ( part_of @ SV417 @ SV397 ) )
        = $true )
      | ( ( ~ ( part_of @ SV420 @ SV397 ) )
        = $true )
      | ( ( ! [SY643: $i] :
              ( ~ ( end_point @ SY643 @ SV409 )
              | ~ ( end_point @ SY643 @ SV417 )
              | ~ ( end_point @ SY643 @ SV420 ) ) )
        = $true )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2363]) ).

thf(2391,plain,
    ! [SV421: $i,SV418: $i,SV399: $i,SV410: $i] :
      ( ( ( end_point @ SV410 @ SV399 )
        = $false )
      | ( ( ~ ( end_point @ SV418 @ SV399 ) )
        = $true )
      | ( ( ~ ( end_point @ SV421 @ SV399 ) )
        = $true )
      | ( ( ( SV418 = SV421 )
          | ( SV410 = SV418 )
          | ( SV410 = SV421 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2364]) ).

thf(2392,plain,
    ! [SV400: $i,SV419: $i,SV411: $i,SV449: $i] :
      ( ( ( ~ ( meet @ SV449 @ SV411 @ SV419 ) )
        = $true )
      | ( ( closed @ SV400 )
        = $false )
      | ( ( ( SV400
           != ( sum @ SV411 @ SV419 ) ) )
        = $true )
      | ( ( ! [SY642: $i] :
              ( ~ ( end_point @ SY642 @ SV411 )
              | ( meet @ SY642 @ SV411 @ SV419 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2365]) ).

thf(2393,plain,
    ! [SV423: $i,SV431: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV431 ) )
        = $false )
      | ( ( part_of @ SV431 @ SV423 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2366]) ).

thf(2394,plain,
    ! [SV423: $i,SV431: $i] :
      ( ( ( ~ ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV423 ) )
        = $false )
      | ( ( part_of @ SV431 @ SV423 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2366]) ).

thf(2395,plain,
    ! [SV424: $i,SV432: $i,SV450: $i] :
      ( ( ( ~ ( incident_c @ SV450 @ SV432 )
          | ( incident_c @ SV450 @ SV424 ) )
        = $true )
      | ( ( part_of @ SV432 @ SV424 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2367]) ).

thf(2396,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
                      | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
                | ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) ) )
          | ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2368]) ).

thf(2397,plain,
    ! [SV451: $i,SV443: $i] :
      ( ( ~ ( end_point @ SV443 @ SV451 )
        | ! [SY670: $i,SY671: $i] :
            ( ~ ( part_of @ SY670 @ SV451 )
            | ~ ( part_of @ SY671 @ SV451 )
            | ~ ( incident_c @ SV443 @ SY670 )
            | ~ ( incident_c @ SV443 @ SY671 )
            | ( part_of @ SY670 @ SY671 )
            | ( part_of @ SY671 @ SY670 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2369]) ).

thf(2398,plain,
    ! [SV452: $i,SV444: $i] :
      ( ( ~ ( end_point @ SV444 @ SV452 )
        | ( incident_c @ SV444 @ SV452 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2370]) ).

thf(2399,plain,
    ! [SV402: $i,SV413: $i] :
      ( ( ( SV413
          = ( sK8_Q @ SV413 @ SV402 ) )
        = $false )
      | ( ( end_point @ SV413 @ SV402 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2371]) ).

thf(2400,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 ) )
        = $true )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2373]) ).

thf(2401,plain,
    ! [SV438: $i,SV405: $i,SV445: $i,SV416: $i] :
      ( ( ( ( SV416 = SV445 )
          | ! [SY667: $i] :
              ( ~ ( end_point @ SV416 @ SY667 )
              | ~ ( part_of @ SY667 @ SV405 )
              | ~ ( end_point @ SV445 @ SY667 )
              | ~ ( inner_point @ SV438 @ SY667 ) ) )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2377]) ).

thf(2402,plain,
    ! [SV416: $i,SV405: $i] :
      ( ( ! [SY634: $i,SY635: $i] :
            ( ~ ( between_c @ SV405 @ SV416 @ SY634 @ SY635 )
            | ( SV416 != SY635 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2378]) ).

thf(2403,plain,
    ! [SV416: $i,SV405: $i] :
      ( ( ! [SY636: $i,SY637: $i] :
            ( ~ ( between_c @ SV405 @ SV416 @ SY636 @ SY637 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) @ SV405 ) )
                      | ~ ( end_point @ SY637 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) )
                | ~ ( inner_point @ SY636 @ ( sK5_Cpp @ SY637 @ SY636 @ SV416 @ SV405 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2379]) ).

thf(2404,plain,
    ! [SV426: $i,SV446: $i] :
      ( ( ( end_point @ SV446 @ SV426 )
        = $false )
      | ( ( closed @ SV426 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2380]) ).

thf(2405,plain,
    ! [SV434: $i,SV430: $i] :
      ( ( ( incident_c @ SV430 @ SV434 )
        = $false )
      | ( ( end_point @ SV430 @ SV434 )
        = $true )
      | ( ( inner_point @ SV430 @ SV434 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2382]) ).

thf(2406,plain,
    ! [SV453: $i,SV447: $i] :
      ( ( ~ ( inner_point @ SV447 @ SV453 )
        | ( incident_c @ SV447 @ SV453 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2383]) ).

thf(2407,plain,
    ! [SV454: $i,SV448: $i] :
      ( ( ~ ( inner_point @ SV448 @ SV454 )
        | ~ ( end_point @ SV448 @ SV454 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2384]) ).

thf(2408,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                    | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                    | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) )
          | ~ ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
              | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 )
              | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2385]) ).

thf(2409,plain,
    ! [SV441: $i,SV436: $i,SV406: $i] :
      ( ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false )
      | ( ( ~ ( ~ ! [SY660: $i] :
                    ( ~ ( incident_c @ SY660 @ SV406 )
                    | ( incident_c @ SY660 @ SV436 )
                    | ( incident_c @ SY660 @ SV441 ) )
              | ~ ~ ( ~ ! [SY655: $i] :
                          ( ~ ( incident_c @ SY655 @ SV436 )
                          | ( incident_c @ SY655 @ SV406 ) )
                    | ~ ! [SY662: $i] :
                          ( ~ ( incident_c @ SY662 @ SV441 )
                          | ( incident_c @ SY662 @ SV406 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2386]) ).

thf(2410,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
                    | ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
              | ~ ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
                  | ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2387]) ).

thf(2411,plain,
    ! [SV455: $i,SV407: $i] :
      ( ( ! [SY672: $i] :
            ( ~ ( meet @ SV407 @ SV455 @ SY672 )
            | ~ ( ~ ! [SY673: $i] :
                      ( ~ ( incident_c @ SY673 @ SV455 )
                      | ~ ( incident_c @ SY673 @ SY672 )
                      | ( end_point @ SY673 @ SV455 ) )
                | ~ ! [SY674: $i] :
                      ( ~ ( incident_c @ SY674 @ SV455 )
                      | ~ ( incident_c @ SY674 @ SY672 )
                      | ( end_point @ SY674 @ SY672 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2388]) ).

thf(2412,plain,
    ! [SV407: $i] :
      ( ( ~ ! [SY618: $i] :
              ( ! [SY619: $i] :
                  ~ ( meet @ SV407 @ SY618 @ SY619 )
              | ( incident_c @ SV407 @ SY618 ) )
        | ~ ! [SY620: $i,SY621: $i] :
              ( ~ ( meet @ SV407 @ SY620 @ SY621 )
              | ( incident_c @ SV407 @ SY621 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[2389]) ).

thf(2413,plain,
    ! [SV420: $i,SV417: $i,SV397: $i,SV409: $i] :
      ( ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( ~ ( part_of @ SV417 @ SV397 ) )
        = $true )
      | ( ( ~ ( part_of @ SV420 @ SV397 ) )
        = $true )
      | ( ( ! [SY643: $i] :
              ( ~ ( end_point @ SY643 @ SV409 )
              | ~ ( end_point @ SY643 @ SV417 )
              | ~ ( end_point @ SY643 @ SV420 ) ) )
        = $true )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2390]) ).

thf(2414,plain,
    ! [SV421: $i,SV410: $i,SV399: $i,SV418: $i] :
      ( ( ( end_point @ SV418 @ SV399 )
        = $false )
      | ( ( end_point @ SV410 @ SV399 )
        = $false )
      | ( ( ~ ( end_point @ SV421 @ SV399 ) )
        = $true )
      | ( ( ( SV418 = SV421 )
          | ( SV410 = SV418 )
          | ( SV410 = SV421 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2391]) ).

thf(2415,plain,
    ! [SV400: $i,SV419: $i,SV411: $i,SV449: $i] :
      ( ( ( meet @ SV449 @ SV411 @ SV419 )
        = $false )
      | ( ( closed @ SV400 )
        = $false )
      | ( ( ( SV400
           != ( sum @ SV411 @ SV419 ) ) )
        = $true )
      | ( ( ! [SY642: $i] :
              ( ~ ( end_point @ SY642 @ SV411 )
              | ( meet @ SY642 @ SV411 @ SV419 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2392]) ).

thf(2416,plain,
    ! [SV423: $i,SV431: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV431 )
        = $true )
      | ( ( part_of @ SV431 @ SV423 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2393]) ).

thf(2417,plain,
    ! [SV423: $i,SV431: $i] :
      ( ( ( ~ ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV423 ) )
        = $true )
      | ( ( part_of @ SV431 @ SV423 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2394]) ).

thf(2418,plain,
    ! [SV424: $i,SV432: $i,SV450: $i] :
      ( ( ( ~ ( incident_c @ SV450 @ SV432 ) )
        = $true )
      | ( ( incident_c @ SV450 @ SV424 )
        = $true )
      | ( ( part_of @ SV432 @ SV424 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2395]) ).

thf(2419,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                            | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
                      | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
                | ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2396]) ).

thf(2420,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
                | ~ ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2396]) ).

thf(2421,plain,
    ! [SV451: $i,SV443: $i] :
      ( ( ( ~ ( end_point @ SV443 @ SV451 ) )
        = $true )
      | ( ( ! [SY670: $i,SY671: $i] :
              ( ~ ( part_of @ SY670 @ SV451 )
              | ~ ( part_of @ SY671 @ SV451 )
              | ~ ( incident_c @ SV443 @ SY670 )
              | ~ ( incident_c @ SV443 @ SY671 )
              | ( part_of @ SY670 @ SY671 )
              | ( part_of @ SY671 @ SY670 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2397]) ).

thf(2422,plain,
    ! [SV452: $i,SV444: $i] :
      ( ( ( ~ ( end_point @ SV444 @ SV452 ) )
        = $true )
      | ( ( incident_c @ SV444 @ SV452 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2398]) ).

thf(2423,plain,
    ! [SV403: $i,SV414: $i] :
      ( ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV414 )
        = $false )
      | ( ( incident_c @ ( sK6_P @ SV414 @ SV403 ) @ SV403 )
        = $false )
      | ( ( SV403 = SV414 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2400]) ).

thf(2424,plain,
    ! [SV438: $i,SV405: $i,SV445: $i,SV416: $i] :
      ( ( ( SV416 = SV445 )
        = $true )
      | ( ( ! [SY667: $i] :
              ( ~ ( end_point @ SV416 @ SY667 )
              | ~ ( part_of @ SY667 @ SV405 )
              | ~ ( end_point @ SV445 @ SY667 )
              | ~ ( inner_point @ SV438 @ SY667 ) ) )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2401]) ).

thf(2425,plain,
    ! [SV456: $i,SV416: $i,SV405: $i] :
      ( ( ! [SY675: $i] :
            ( ~ ( between_c @ SV405 @ SV416 @ SV456 @ SY675 )
            | ( SV416 != SY675 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2402]) ).

thf(2426,plain,
    ! [SV457: $i,SV416: $i,SV405: $i] :
      ( ( ! [SY676: $i] :
            ( ~ ( between_c @ SV405 @ SV416 @ SV457 @ SY676 )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SY676 @ SV457 @ SV416 @ SV405 ) )
                            | ~ ( part_of @ ( sK5_Cpp @ SY676 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
                      | ~ ( end_point @ SY676 @ ( sK5_Cpp @ SY676 @ SV457 @ SV416 @ SV405 ) ) )
                | ~ ( inner_point @ SV457 @ ( sK5_Cpp @ SY676 @ SV457 @ SV416 @ SV405 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2403]) ).

thf(2427,plain,
    ! [SV453: $i,SV447: $i] :
      ( ( ( ~ ( inner_point @ SV447 @ SV453 ) )
        = $true )
      | ( ( incident_c @ SV447 @ SV453 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2406]) ).

thf(2428,plain,
    ! [SV454: $i,SV448: $i] :
      ( ( ( ~ ( inner_point @ SV448 @ SV454 ) )
        = $true )
      | ( ( ~ ( end_point @ SV448 @ SV454 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2407]) ).

thf(2429,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                    | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
                | ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                    | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2408]) ).

thf(2430,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
              | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 )
              | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2408]) ).

thf(2431,plain,
    ! [SV441: $i,SV436: $i,SV406: $i] :
      ( ( ( ~ ! [SY660: $i] :
                ( ~ ( incident_c @ SY660 @ SV406 )
                | ( incident_c @ SY660 @ SV436 )
                | ( incident_c @ SY660 @ SV441 ) )
          | ~ ~ ( ~ ! [SY655: $i] :
                      ( ~ ( incident_c @ SY655 @ SV436 )
                      | ( incident_c @ SY655 @ SV406 ) )
                | ~ ! [SY662: $i] :
                      ( ~ ( incident_c @ SY662 @ SV441 )
                      | ( incident_c @ SY662 @ SV406 ) ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2409]) ).

thf(2432,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
                | ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
          | ~ ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
              | ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2410]) ).

thf(2433,plain,
    ! [SV458: $i,SV455: $i,SV407: $i] :
      ( ( ~ ( meet @ SV407 @ SV455 @ SV458 )
        | ~ ( ~ ! [SY677: $i] :
                  ( ~ ( incident_c @ SY677 @ SV455 )
                  | ~ ( incident_c @ SY677 @ SV458 )
                  | ( end_point @ SY677 @ SV455 ) )
            | ~ ! [SY678: $i] :
                  ( ~ ( incident_c @ SY678 @ SV455 )
                  | ~ ( incident_c @ SY678 @ SV458 )
                  | ( end_point @ SY678 @ SV458 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2411]) ).

thf(2434,plain,
    ! [SV407: $i] :
      ( ( ~ ! [SY618: $i] :
              ( ! [SY619: $i] :
                  ~ ( meet @ SV407 @ SY618 @ SY619 )
              | ( incident_c @ SV407 @ SY618 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2412]) ).

thf(2435,plain,
    ! [SV407: $i] :
      ( ( ~ ! [SY620: $i,SY621: $i] :
              ( ~ ( meet @ SV407 @ SY620 @ SY621 )
              | ( incident_c @ SV407 @ SY621 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[2412]) ).

thf(2436,plain,
    ! [SV420: $i,SV409: $i,SV397: $i,SV417: $i] :
      ( ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( ~ ( part_of @ SV420 @ SV397 ) )
        = $true )
      | ( ( ! [SY643: $i] :
              ( ~ ( end_point @ SY643 @ SV409 )
              | ~ ( end_point @ SY643 @ SV417 )
              | ~ ( end_point @ SY643 @ SV420 ) ) )
        = $true )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2413]) ).

thf(2437,plain,
    ! [SV418: $i,SV410: $i,SV399: $i,SV421: $i] :
      ( ( ( end_point @ SV421 @ SV399 )
        = $false )
      | ( ( end_point @ SV410 @ SV399 )
        = $false )
      | ( ( end_point @ SV418 @ SV399 )
        = $false )
      | ( ( ( SV418 = SV421 )
          | ( SV410 = SV418 )
          | ( SV410 = SV421 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2414]) ).

thf(2438,plain,
    ! [SV449: $i,SV419: $i,SV411: $i,SV400: $i] :
      ( ( ( SV400
          = ( sum @ SV411 @ SV419 ) )
        = $false )
      | ( ( closed @ SV400 )
        = $false )
      | ( ( meet @ SV449 @ SV411 @ SV419 )
        = $false )
      | ( ( ! [SY642: $i] :
              ( ~ ( end_point @ SY642 @ SV411 )
              | ( meet @ SY642 @ SV411 @ SV419 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2415]) ).

thf(2439,plain,
    ! [SV423: $i,SV431: $i] :
      ( ( ( incident_c @ ( sK18_P @ SV431 @ SV423 ) @ SV423 )
        = $false )
      | ( ( part_of @ SV431 @ SV423 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2417]) ).

thf(2440,plain,
    ! [SV424: $i,SV432: $i,SV450: $i] :
      ( ( ( incident_c @ SV450 @ SV432 )
        = $false )
      | ( ( incident_c @ SV450 @ SV424 )
        = $true )
      | ( ( part_of @ SV432 @ SV424 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2418]) ).

thf(2441,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                          | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
                    | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
              | ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2419]) ).

thf(2442,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( ~ ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
              | ~ ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2420]) ).

thf(2443,plain,
    ! [SV451: $i,SV443: $i] :
      ( ( ( end_point @ SV443 @ SV451 )
        = $false )
      | ( ( ! [SY670: $i,SY671: $i] :
              ( ~ ( part_of @ SY670 @ SV451 )
              | ~ ( part_of @ SY671 @ SV451 )
              | ~ ( incident_c @ SV443 @ SY670 )
              | ~ ( incident_c @ SV443 @ SY671 )
              | ( part_of @ SY670 @ SY671 )
              | ( part_of @ SY671 @ SY670 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2421]) ).

thf(2444,plain,
    ! [SV452: $i,SV444: $i] :
      ( ( ( end_point @ SV444 @ SV452 )
        = $false )
      | ( ( incident_c @ SV444 @ SV452 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2422]) ).

thf(2445,plain,
    ! [SV438: $i,SV445: $i,SV405: $i,SV459: $i,SV416: $i] :
      ( ( ( ~ ( end_point @ SV416 @ SV459 )
          | ~ ( part_of @ SV459 @ SV405 )
          | ~ ( end_point @ SV445 @ SV459 )
          | ~ ( inner_point @ SV438 @ SV459 ) )
        = $true )
      | ( ( SV416 = SV445 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2424]) ).

thf(2446,plain,
    ! [SV460: $i,SV456: $i,SV416: $i,SV405: $i] :
      ( ( ~ ( between_c @ SV405 @ SV416 @ SV456 @ SV460 )
        | ( SV416 != SV460 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2425]) ).

thf(2447,plain,
    ! [SV461: $i,SV457: $i,SV416: $i,SV405: $i] :
      ( ( ~ ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
                        | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
                  | ~ ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
            | ~ ( inner_point @ SV457 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2426]) ).

thf(2448,plain,
    ! [SV453: $i,SV447: $i] :
      ( ( ( inner_point @ SV447 @ SV453 )
        = $false )
      | ( ( incident_c @ SV447 @ SV453 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2427]) ).

thf(2449,plain,
    ! [SV454: $i,SV448: $i] :
      ( ( ( inner_point @ SV448 @ SV454 )
        = $false )
      | ( ( ~ ( end_point @ SV448 @ SV454 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2428]) ).

thf(2450,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                  | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
              | ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
                  | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2429]) ).

thf(2451,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
          | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 )
          | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2430]) ).

thf(2452,plain,
    ! [SV441: $i,SV436: $i,SV406: $i] :
      ( ( ( ~ ! [SY660: $i] :
                ( ~ ( incident_c @ SY660 @ SV406 )
                | ( incident_c @ SY660 @ SV436 )
                | ( incident_c @ SY660 @ SV441 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2431]) ).

thf(2453,plain,
    ! [SV441: $i,SV406: $i,SV436: $i] :
      ( ( ( ~ ~ ( ~ ! [SY655: $i] :
                      ( ~ ( incident_c @ SY655 @ SV436 )
                      | ( incident_c @ SY655 @ SV406 ) )
                | ~ ! [SY662: $i] :
                      ( ~ ( incident_c @ SY662 @ SV441 )
                      | ( incident_c @ SY662 @ SV406 ) ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2431]) ).

thf(2454,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ~ ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
                | ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2432]) ).

thf(2455,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
              | ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2432]) ).

thf(2456,plain,
    ! [SV458: $i,SV455: $i,SV407: $i] :
      ( ( ( ~ ( meet @ SV407 @ SV455 @ SV458 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY677: $i] :
                    ( ~ ( incident_c @ SY677 @ SV455 )
                    | ~ ( incident_c @ SY677 @ SV458 )
                    | ( end_point @ SY677 @ SV455 ) )
              | ~ ! [SY678: $i] :
                    ( ~ ( incident_c @ SY678 @ SV455 )
                    | ~ ( incident_c @ SY678 @ SV458 )
                    | ( end_point @ SY678 @ SV458 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2433]) ).

thf(2457,plain,
    ! [SV407: $i] :
      ( ( ! [SY618: $i] :
            ( ! [SY619: $i] :
                ~ ( meet @ SV407 @ SY618 @ SY619 )
            | ( incident_c @ SV407 @ SY618 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2434]) ).

thf(2458,plain,
    ! [SV407: $i] :
      ( ( ! [SY620: $i,SY621: $i] :
            ( ~ ( meet @ SV407 @ SY620 @ SY621 )
            | ( incident_c @ SV407 @ SY621 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[2435]) ).

thf(2459,plain,
    ! [SV417: $i,SV409: $i,SV397: $i,SV420: $i] :
      ( ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( ! [SY643: $i] :
              ( ~ ( end_point @ SY643 @ SV409 )
              | ~ ( end_point @ SY643 @ SV417 )
              | ~ ( end_point @ SY643 @ SV420 ) ) )
        = $true )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2436]) ).

thf(2460,plain,
    ! [SV399: $i,SV410: $i,SV421: $i,SV418: $i] :
      ( ( ( SV418 = SV421 )
        = $true )
      | ( ( ( SV410 = SV418 )
          | ( SV410 = SV421 ) )
        = $true )
      | ( ( end_point @ SV418 @ SV399 )
        = $false )
      | ( ( end_point @ SV410 @ SV399 )
        = $false )
      | ( ( end_point @ SV421 @ SV399 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2437]) ).

thf(2461,plain,
    ! [SV400: $i,SV449: $i,SV419: $i,SV411: $i,SV462: $i] :
      ( ( ( ~ ( end_point @ SV462 @ SV411 )
          | ( meet @ SV462 @ SV411 @ SV419 ) )
        = $true )
      | ( ( meet @ SV449 @ SV411 @ SV419 )
        = $false )
      | ( ( closed @ SV400 )
        = $false )
      | ( ( SV400
          = ( sum @ SV411 @ SV419 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2438]) ).

thf(2462,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
                | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
          | ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2441]) ).

thf(2463,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
          | ~ ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2442]) ).

thf(2464,plain,
    ! [SV443: $i,SV451: $i,SV463: $i] :
      ( ( ( ! [SY679: $i] :
              ( ~ ( part_of @ SV463 @ SV451 )
              | ~ ( part_of @ SY679 @ SV451 )
              | ~ ( incident_c @ SV443 @ SV463 )
              | ~ ( incident_c @ SV443 @ SY679 )
              | ( part_of @ SV463 @ SY679 )
              | ( part_of @ SY679 @ SV463 ) ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2443]) ).

thf(2465,plain,
    ! [SV438: $i,SV445: $i,SV405: $i,SV459: $i,SV416: $i] :
      ( ( ( ~ ( end_point @ SV416 @ SV459 )
          | ~ ( part_of @ SV459 @ SV405 )
          | ~ ( end_point @ SV445 @ SV459 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV438 @ SV459 ) )
        = $true )
      | ( ( SV416 = SV445 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2445]) ).

thf(2466,plain,
    ! [SV460: $i,SV456: $i,SV416: $i,SV405: $i] :
      ( ( ( ~ ( between_c @ SV405 @ SV416 @ SV456 @ SV460 ) )
        = $true )
      | ( ( ( SV416 != SV460 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2446]) ).

thf(2467,plain,
    ! [SV461: $i,SV457: $i,SV416: $i,SV405: $i] :
      ( ( ( ~ ( between_c @ SV405 @ SV416 @ SV457 @ SV461 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
                    | ~ ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
              | ~ ( inner_point @ SV457 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2447]) ).

thf(2468,plain,
    ! [SV454: $i,SV448: $i] :
      ( ( ( end_point @ SV448 @ SV454 )
        = $false )
      | ( ( inner_point @ SV448 @ SV454 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2449]) ).

thf(2469,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
              | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
          | ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
              | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2450]) ).

thf(2470,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
        = $true )
      | ( ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 )
          | ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2451]) ).

thf(2471,plain,
    ! [SV441: $i,SV436: $i,SV406: $i] :
      ( ( ( ! [SY660: $i] :
              ( ~ ( incident_c @ SY660 @ SV406 )
              | ( incident_c @ SY660 @ SV436 )
              | ( incident_c @ SY660 @ SV441 ) ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2452]) ).

thf(2472,plain,
    ! [SV441: $i,SV406: $i,SV436: $i] :
      ( ( ( ~ ( ~ ! [SY655: $i] :
                    ( ~ ( incident_c @ SY655 @ SV436 )
                    | ( incident_c @ SY655 @ SV406 ) )
              | ~ ! [SY662: $i] :
                    ( ~ ( incident_c @ SY662 @ SV441 )
                    | ( incident_c @ SY662 @ SV406 ) ) ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2453]) ).

thf(2473,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
              | ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2454]) ).

thf(2474,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
          | ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2455]) ).

thf(2475,plain,
    ! [SV458: $i,SV455: $i,SV407: $i] :
      ( ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false )
      | ( ( ~ ( ~ ! [SY677: $i] :
                    ( ~ ( incident_c @ SY677 @ SV455 )
                    | ~ ( incident_c @ SY677 @ SV458 )
                    | ( end_point @ SY677 @ SV455 ) )
              | ~ ! [SY678: $i] :
                    ( ~ ( incident_c @ SY678 @ SV455 )
                    | ~ ( incident_c @ SY678 @ SV458 )
                    | ( end_point @ SY678 @ SV458 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2456]) ).

thf(2476,plain,
    ! [SV464: $i,SV407: $i] :
      ( ( ! [SY680: $i] :
            ~ ( meet @ SV407 @ SV464 @ SY680 )
        | ( incident_c @ SV407 @ SV464 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2457]) ).

thf(2477,plain,
    ! [SV465: $i,SV407: $i] :
      ( ( ! [SY681: $i] :
            ( ~ ( meet @ SV407 @ SV465 @ SY681 )
            | ( incident_c @ SV407 @ SY681 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2458]) ).

thf(2478,plain,
    ! [SV397: $i,SV420: $i,SV417: $i,SV409: $i,SV466: $i] :
      ( ( ( ~ ( end_point @ SV466 @ SV409 )
          | ~ ( end_point @ SV466 @ SV417 )
          | ~ ( end_point @ SV466 @ SV420 ) )
        = $true )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2459]) ).

thf(2479,plain,
    ! [SV399: $i,SV421: $i,SV418: $i,SV410: $i] :
      ( ( ( SV410 = SV418 )
        = $true )
      | ( ( SV410 = SV421 )
        = $true )
      | ( ( SV418 = SV421 )
        = $true )
      | ( ( end_point @ SV418 @ SV399 )
        = $false )
      | ( ( end_point @ SV410 @ SV399 )
        = $false )
      | ( ( end_point @ SV421 @ SV399 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2460]) ).

thf(2480,plain,
    ! [SV400: $i,SV449: $i,SV419: $i,SV411: $i,SV462: $i] :
      ( ( ( ~ ( end_point @ SV462 @ SV411 ) )
        = $true )
      | ( ( meet @ SV462 @ SV411 @ SV419 )
        = $true )
      | ( ( meet @ SV449 @ SV411 @ SV419 )
        = $false )
      | ( ( closed @ SV400 )
        = $false )
      | ( ( SV400
          = ( sum @ SV411 @ SV419 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2461]) ).

thf(2481,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                      | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
                | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2462]) ).

thf(2482,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( ~ ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2462]) ).

thf(2483,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2463]) ).

thf(2484,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2463]) ).

thf(2485,plain,
    ! [SV443: $i,SV467: $i,SV451: $i,SV463: $i] :
      ( ( ( ~ ( part_of @ SV463 @ SV451 )
          | ~ ( part_of @ SV467 @ SV451 )
          | ~ ( incident_c @ SV443 @ SV463 )
          | ~ ( incident_c @ SV443 @ SV467 )
          | ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2464]) ).

thf(2486,plain,
    ! [SV438: $i,SV445: $i,SV405: $i,SV459: $i,SV416: $i] :
      ( ( ( ~ ( end_point @ SV416 @ SV459 )
          | ~ ( part_of @ SV459 @ SV405 ) )
        = $true )
      | ( ( ~ ( end_point @ SV445 @ SV459 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV438 @ SV459 ) )
        = $true )
      | ( ( SV416 = SV445 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2465]) ).

thf(2487,plain,
    ! [SV460: $i,SV456: $i,SV416: $i,SV405: $i] :
      ( ( ( between_c @ SV405 @ SV416 @ SV456 @ SV460 )
        = $false )
      | ( ( ( SV416 != SV460 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2466]) ).

thf(2488,plain,
    ! [SV461: $i,SV457: $i,SV416: $i,SV405: $i] :
      ( ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
                          | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
                    | ~ ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
              | ~ ( inner_point @ SV457 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2467]) ).

thf(2489,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
              | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2469]) ).

thf(2490,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
              | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2469]) ).

thf(2491,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 )
        = $true )
      | ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2470]) ).

thf(2492,plain,
    ! [SV441: $i,SV436: $i,SV406: $i,SV468: $i] :
      ( ( ( ~ ( incident_c @ SV468 @ SV406 )
          | ( incident_c @ SV468 @ SV436 )
          | ( incident_c @ SV468 @ SV441 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2471]) ).

thf(2493,plain,
    ! [SV441: $i,SV406: $i,SV436: $i] :
      ( ( ( ~ ! [SY655: $i] :
                ( ~ ( incident_c @ SY655 @ SV436 )
                | ( incident_c @ SY655 @ SV406 ) )
          | ~ ! [SY662: $i] :
                ( ~ ( incident_c @ SY662 @ SV441 )
                | ( incident_c @ SY662 @ SV406 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2472]) ).

thf(2494,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
          | ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2473]) ).

thf(2495,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 ) )
        = $true )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2474]) ).

thf(2496,plain,
    ! [SV407: $i,SV458: $i,SV455: $i] :
      ( ( ( ~ ! [SY677: $i] :
                ( ~ ( incident_c @ SY677 @ SV455 )
                | ~ ( incident_c @ SY677 @ SV458 )
                | ( end_point @ SY677 @ SV455 ) )
          | ~ ! [SY678: $i] :
                ( ~ ( incident_c @ SY678 @ SV455 )
                | ~ ( incident_c @ SY678 @ SV458 )
                | ( end_point @ SY678 @ SV458 ) ) )
        = $false )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2475]) ).

thf(2497,plain,
    ! [SV464: $i,SV407: $i] :
      ( ( ( ! [SY680: $i] :
              ~ ( meet @ SV407 @ SV464 @ SY680 ) )
        = $true )
      | ( ( incident_c @ SV407 @ SV464 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2476]) ).

thf(2498,plain,
    ! [SV469: $i,SV465: $i,SV407: $i] :
      ( ( ~ ( meet @ SV407 @ SV465 @ SV469 )
        | ( incident_c @ SV407 @ SV469 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[2477]) ).

thf(2499,plain,
    ! [SV397: $i,SV420: $i,SV417: $i,SV409: $i,SV466: $i] :
      ( ( ( ~ ( end_point @ SV466 @ SV409 )
          | ~ ( end_point @ SV466 @ SV417 ) )
        = $true )
      | ( ( ~ ( end_point @ SV466 @ SV420 ) )
        = $true )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2478]) ).

thf(2500,plain,
    ! [SV400: $i,SV449: $i,SV419: $i,SV411: $i,SV462: $i] :
      ( ( ( end_point @ SV462 @ SV411 )
        = $false )
      | ( ( meet @ SV462 @ SV411 @ SV419 )
        = $true )
      | ( ( meet @ SV449 @ SV411 @ SV419 )
        = $false )
      | ( ( closed @ SV400 )
        = $false )
      | ( ( SV400
          = ( sum @ SV411 @ SV419 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2480]) ).

thf(2501,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                    | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
              | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2481]) ).

thf(2502,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2482]) ).

thf(2503,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2483]) ).

thf(2504,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2484]) ).

thf(2505,plain,
    ! [SV443: $i,SV467: $i,SV451: $i,SV463: $i] :
      ( ( ( ~ ( part_of @ SV463 @ SV451 )
          | ~ ( part_of @ SV467 @ SV451 )
          | ~ ( incident_c @ SV443 @ SV463 )
          | ~ ( incident_c @ SV443 @ SV467 ) )
        = $true )
      | ( ( ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2485]) ).

thf(2506,plain,
    ! [SV438: $i,SV445: $i,SV405: $i,SV459: $i,SV416: $i] :
      ( ( ( ~ ( end_point @ SV416 @ SV459 ) )
        = $true )
      | ( ( ~ ( part_of @ SV459 @ SV405 ) )
        = $true )
      | ( ( ~ ( end_point @ SV445 @ SV459 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV438 @ SV459 ) )
        = $true )
      | ( ( SV416 = SV445 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2486]) ).

thf(2507,plain,
    ! [SV456: $i,SV405: $i,SV460: $i,SV416: $i] :
      ( ( ( SV416 = SV460 )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV456 @ SV460 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2487]) ).

thf(2508,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
                | ~ ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
          | ~ ( inner_point @ SV457 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2488]) ).

thf(2509,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
          | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2489]) ).

thf(2510,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
          | ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2490]) ).

thf(2511,plain,
    ! [SV441: $i,SV436: $i,SV406: $i,SV468: $i] :
      ( ( ( ~ ( incident_c @ SV468 @ SV406 ) )
        = $true )
      | ( ( ( incident_c @ SV468 @ SV436 )
          | ( incident_c @ SV468 @ SV441 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2492]) ).

thf(2512,plain,
    ! [SV441: $i,SV406: $i,SV436: $i] :
      ( ( ( ~ ! [SY655: $i] :
                ( ~ ( incident_c @ SY655 @ SV436 )
                | ( incident_c @ SY655 @ SV406 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2493]) ).

thf(2513,plain,
    ! [SV436: $i,SV406: $i,SV441: $i] :
      ( ( ( ~ ! [SY662: $i] :
                ( ~ ( incident_c @ SY662 @ SV441 )
                | ( incident_c @ SY662 @ SV406 ) ) )
        = $false )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2493]) ).

thf(2514,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2494]) ).

thf(2515,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( ~ ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2494]) ).

thf(2516,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $false )
      | ( ( ~ ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2495]) ).

thf(2517,plain,
    ! [SV407: $i,SV458: $i,SV455: $i] :
      ( ( ( ~ ! [SY677: $i] :
                ( ~ ( incident_c @ SY677 @ SV455 )
                | ~ ( incident_c @ SY677 @ SV458 )
                | ( end_point @ SY677 @ SV455 ) ) )
        = $false )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2496]) ).

thf(2518,plain,
    ! [SV407: $i,SV458: $i,SV455: $i] :
      ( ( ( ~ ! [SY678: $i] :
                ( ~ ( incident_c @ SY678 @ SV455 )
                | ~ ( incident_c @ SY678 @ SV458 )
                | ( end_point @ SY678 @ SV458 ) ) )
        = $false )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2496]) ).

thf(2519,plain,
    ! [SV470: $i,SV464: $i,SV407: $i] :
      ( ( ( ~ ( meet @ SV407 @ SV464 @ SV470 ) )
        = $true )
      | ( ( incident_c @ SV407 @ SV464 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[2497]) ).

thf(2520,plain,
    ! [SV469: $i,SV465: $i,SV407: $i] :
      ( ( ( ~ ( meet @ SV407 @ SV465 @ SV469 ) )
        = $true )
      | ( ( incident_c @ SV407 @ SV469 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2498]) ).

thf(2521,plain,
    ! [SV397: $i,SV420: $i,SV417: $i,SV409: $i,SV466: $i] :
      ( ( ( ~ ( end_point @ SV466 @ SV409 ) )
        = $true )
      | ( ( ~ ( end_point @ SV466 @ SV417 ) )
        = $true )
      | ( ( ~ ( end_point @ SV466 @ SV420 ) )
        = $true )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2499]) ).

thf(2522,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
          | ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2501]) ).

thf(2523,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( incident_c @ SV425 @ SV433 )
        = $false )
      | ( ( incident_c @ SV425 @ ( sK16_SY69 @ SV433 @ SV425 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2502]) ).

thf(2524,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2503]) ).

thf(2525,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2504]) ).

thf(2526,plain,
    ! [SV443: $i,SV467: $i,SV451: $i,SV463: $i] :
      ( ( ( ~ ( part_of @ SV463 @ SV451 )
          | ~ ( part_of @ SV467 @ SV451 )
          | ~ ( incident_c @ SV443 @ SV463 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV443 @ SV467 ) )
        = $true )
      | ( ( ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2505]) ).

thf(2527,plain,
    ! [SV438: $i,SV445: $i,SV405: $i,SV459: $i,SV416: $i] :
      ( ( ( end_point @ SV416 @ SV459 )
        = $false )
      | ( ( ~ ( part_of @ SV459 @ SV405 ) )
        = $true )
      | ( ( ~ ( end_point @ SV445 @ SV459 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV438 @ SV459 ) )
        = $true )
      | ( ( SV416 = SV445 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2506]) ).

thf(2528,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
                      | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
                | ~ ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2508]) ).

thf(2529,plain,
    ! [SV405: $i,SV416: $i,SV461: $i,SV457: $i] :
      ( ( ( ~ ( inner_point @ SV457 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2508]) ).

thf(2530,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2509]) ).

thf(2531,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 ) )
        = $true )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2510]) ).

thf(2532,plain,
    ! [SV441: $i,SV436: $i,SV406: $i,SV468: $i] :
      ( ( ( incident_c @ SV468 @ SV406 )
        = $false )
      | ( ( ( incident_c @ SV468 @ SV436 )
          | ( incident_c @ SV468 @ SV441 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2511]) ).

thf(2533,plain,
    ! [SV441: $i,SV406: $i,SV436: $i] :
      ( ( ( ! [SY655: $i] :
              ( ~ ( incident_c @ SY655 @ SV436 )
              | ( incident_c @ SY655 @ SV406 ) ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2512]) ).

thf(2534,plain,
    ! [SV436: $i,SV406: $i,SV441: $i] :
      ( ( ( ! [SY662: $i] :
              ( ~ ( incident_c @ SY662 @ SV441 )
              | ( incident_c @ SY662 @ SV406 ) ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2513]) ).

thf(2535,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2514]) ).

thf(2536,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2515]) ).

thf(2537,plain,
    ! [SV407: $i,SV437: $i,SV442: $i] :
      ( ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV437 )
          | ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2516]) ).

thf(2538,plain,
    ! [SV407: $i,SV458: $i,SV455: $i] :
      ( ( ( ! [SY677: $i] :
              ( ~ ( incident_c @ SY677 @ SV455 )
              | ~ ( incident_c @ SY677 @ SV458 )
              | ( end_point @ SY677 @ SV455 ) ) )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2517]) ).

thf(2539,plain,
    ! [SV407: $i,SV458: $i,SV455: $i] :
      ( ( ( ! [SY678: $i] :
              ( ~ ( incident_c @ SY678 @ SV455 )
              | ~ ( incident_c @ SY678 @ SV458 )
              | ( end_point @ SY678 @ SV458 ) ) )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2518]) ).

thf(2540,plain,
    ! [SV470: $i,SV464: $i,SV407: $i] :
      ( ( ( meet @ SV407 @ SV464 @ SV470 )
        = $false )
      | ( ( incident_c @ SV407 @ SV464 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2519]) ).

thf(2541,plain,
    ! [SV469: $i,SV465: $i,SV407: $i] :
      ( ( ( meet @ SV407 @ SV465 @ SV469 )
        = $false )
      | ( ( incident_c @ SV407 @ SV469 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2520]) ).

thf(2542,plain,
    ! [SV397: $i,SV420: $i,SV417: $i,SV409: $i,SV466: $i] :
      ( ( ( end_point @ SV466 @ SV409 )
        = $false )
      | ( ( ~ ( end_point @ SV466 @ SV417 ) )
        = $true )
      | ( ( ~ ( end_point @ SV466 @ SV420 ) )
        = $true )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2521]) ).

thf(2543,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
                | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2522]) ).

thf(2544,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( ~ ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2522]) ).

thf(2545,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( incident_c @ SV425 @ SV433 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ ( sK16_SY69 @ SV433 @ SV425 ) )
        = $false )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2524]) ).

thf(2546,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( incident_c @ SV425 @ SV433 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ ( sK15_C1 @ SV433 @ SV425 ) )
        = $false )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2525]) ).

thf(2547,plain,
    ! [SV443: $i,SV467: $i,SV451: $i,SV463: $i] :
      ( ( ( ~ ( part_of @ SV463 @ SV451 )
          | ~ ( part_of @ SV467 @ SV451 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV443 @ SV463 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV443 @ SV467 ) )
        = $true )
      | ( ( ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2526]) ).

thf(2548,plain,
    ! [SV438: $i,SV445: $i,SV416: $i,SV405: $i,SV459: $i] :
      ( ( ( part_of @ SV459 @ SV405 )
        = $false )
      | ( ( end_point @ SV416 @ SV459 )
        = $false )
      | ( ( ~ ( end_point @ SV445 @ SV459 ) )
        = $true )
      | ( ( ~ ( inner_point @ SV438 @ SV459 ) )
        = $true )
      | ( ( SV416 = SV445 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2527]) ).

thf(2549,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
                    | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
              | ~ ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) ) )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2528]) ).

thf(2550,plain,
    ! [SV405: $i,SV416: $i,SV461: $i,SV457: $i] :
      ( ( ( inner_point @ SV457 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2529]) ).

thf(2551,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2530]) ).

thf(2552,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
        = $false )
      | ( ( ~ ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2531]) ).

thf(2553,plain,
    ! [SV406: $i,SV441: $i,SV436: $i,SV468: $i] :
      ( ( ( incident_c @ SV468 @ SV436 )
        = $true )
      | ( ( incident_c @ SV468 @ SV441 )
        = $true )
      | ( ( incident_c @ SV468 @ SV406 )
        = $false )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2532]) ).

thf(2554,plain,
    ! [SV441: $i,SV406: $i,SV436: $i,SV471: $i] :
      ( ( ( ~ ( incident_c @ SV471 @ SV436 )
          | ( incident_c @ SV471 @ SV406 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2533]) ).

thf(2555,plain,
    ! [SV436: $i,SV406: $i,SV441: $i,SV472: $i] :
      ( ( ( ~ ( incident_c @ SV472 @ SV441 )
          | ( incident_c @ SV472 @ SV406 ) )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2534]) ).

thf(2556,plain,
    ! [SV442: $i,SV437: $i,SV407: $i] :
      ( ( ( ~ ( incident_c @ SV407 @ SV437 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2535]) ).

thf(2557,plain,
    ! [SV442: $i,SV437: $i,SV407: $i] :
      ( ( ( ~ ( incident_c @ SV407 @ SV437 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2536]) ).

thf(2558,plain,
    ! [SV442: $i,SV437: $i,SV407: $i] :
      ( ( ( ~ ( incident_c @ SV407 @ SV437 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 )
        = $false )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[2537]) ).

thf(2559,plain,
    ! [SV407: $i,SV458: $i,SV455: $i,SV473: $i] :
      ( ( ( ~ ( incident_c @ SV473 @ SV455 )
          | ~ ( incident_c @ SV473 @ SV458 )
          | ( end_point @ SV473 @ SV455 ) )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2538]) ).

thf(2560,plain,
    ! [SV407: $i,SV458: $i,SV455: $i,SV474: $i] :
      ( ( ( ~ ( incident_c @ SV474 @ SV455 )
          | ~ ( incident_c @ SV474 @ SV458 )
          | ( end_point @ SV474 @ SV458 ) )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[2539]) ).

thf(2561,plain,
    ! [SV397: $i,SV420: $i,SV409: $i,SV417: $i,SV466: $i] :
      ( ( ( end_point @ SV466 @ SV417 )
        = $false )
      | ( ( end_point @ SV466 @ SV409 )
        = $false )
      | ( ( ~ ( end_point @ SV466 @ SV420 ) )
        = $true )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2542]) ).

thf(2562,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
              | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2543]) ).

thf(2563,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2544]) ).

thf(2564,plain,
    ! [SV443: $i,SV467: $i,SV451: $i,SV463: $i] :
      ( ( ( ~ ( part_of @ SV463 @ SV451 ) )
        = $true )
      | ( ( ~ ( part_of @ SV467 @ SV451 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV443 @ SV463 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV443 @ SV467 ) )
        = $true )
      | ( ( ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2547]) ).

thf(2565,plain,
    ! [SV438: $i,SV405: $i,SV416: $i,SV459: $i,SV445: $i] :
      ( ( ( end_point @ SV445 @ SV459 )
        = $false )
      | ( ( end_point @ SV416 @ SV459 )
        = $false )
      | ( ( part_of @ SV459 @ SV405 )
        = $false )
      | ( ( ~ ( inner_point @ SV438 @ SV459 ) )
        = $true )
      | ( ( SV416 = SV445 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2548]) ).

thf(2566,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
          | ~ ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2549]) ).

thf(2567,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV435 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
        = $false )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2551]) ).

thf(2568,plain,
    ! [SV406: $i,SV435: $i,SV440: $i] :
      ( ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV440 )
        = $false )
      | ( ( incident_c @ ( sK17_Q @ SV440 @ SV435 @ SV406 ) @ SV406 )
        = $false )
      | ( ( SV406
          = ( sum @ SV435 @ SV440 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2552]) ).

thf(2569,plain,
    ! [SV441: $i,SV406: $i,SV436: $i,SV471: $i] :
      ( ( ( ~ ( incident_c @ SV471 @ SV436 ) )
        = $true )
      | ( ( incident_c @ SV471 @ SV406 )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2554]) ).

thf(2570,plain,
    ! [SV436: $i,SV406: $i,SV441: $i,SV472: $i] :
      ( ( ( ~ ( incident_c @ SV472 @ SV441 ) )
        = $true )
      | ( ( incident_c @ SV472 @ SV406 )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2555]) ).

thf(2571,plain,
    ! [SV442: $i,SV437: $i,SV407: $i] :
      ( ( ( incident_c @ SV407 @ SV437 )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2556]) ).

thf(2572,plain,
    ! [SV442: $i,SV437: $i,SV407: $i] :
      ( ( ( incident_c @ SV407 @ SV437 )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2557]) ).

thf(2573,plain,
    ! [SV442: $i,SV437: $i,SV407: $i] :
      ( ( ( incident_c @ SV407 @ SV437 )
        = $false )
      | ( ( ~ ( incident_c @ SV407 @ SV442 ) )
        = $true )
      | ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 )
        = $false )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2558]) ).

thf(2574,plain,
    ! [SV407: $i,SV458: $i,SV455: $i,SV473: $i] :
      ( ( ( ~ ( incident_c @ SV473 @ SV455 )
          | ~ ( incident_c @ SV473 @ SV458 ) )
        = $true )
      | ( ( end_point @ SV473 @ SV455 )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2559]) ).

thf(2575,plain,
    ! [SV407: $i,SV458: $i,SV455: $i,SV474: $i] :
      ( ( ( ~ ( incident_c @ SV474 @ SV455 )
          | ~ ( incident_c @ SV474 @ SV458 ) )
        = $true )
      | ( ( end_point @ SV474 @ SV458 )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2560]) ).

thf(2576,plain,
    ! [SV397: $i,SV417: $i,SV409: $i,SV420: $i,SV466: $i] :
      ( ( ( end_point @ SV466 @ SV420 )
        = $false )
      | ( ( end_point @ SV466 @ SV409 )
        = $false )
      | ( ( end_point @ SV466 @ SV417 )
        = $false )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( ( part_of @ SV420 @ SV409 )
          | ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2561]) ).

thf(2577,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
          | ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2562]) ).

thf(2578,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( incident_c @ SV425 @ SV433 )
        = $false )
      | ( ( incident_c @ SV425 @ ( sK15_C1 @ SV433 @ SV425 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2563]) ).

thf(2579,plain,
    ! [SV443: $i,SV467: $i,SV451: $i,SV463: $i] :
      ( ( ( part_of @ SV463 @ SV451 )
        = $false )
      | ( ( ~ ( part_of @ SV467 @ SV451 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV443 @ SV463 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV443 @ SV467 ) )
        = $true )
      | ( ( ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2564]) ).

thf(2580,plain,
    ! [SV445: $i,SV416: $i,SV405: $i,SV459: $i,SV438: $i] :
      ( ( ( inner_point @ SV438 @ SV459 )
        = $false )
      | ( ( part_of @ SV459 @ SV405 )
        = $false )
      | ( ( end_point @ SV416 @ SV459 )
        = $false )
      | ( ( end_point @ SV445 @ SV459 )
        = $false )
      | ( ( SV416 = SV445 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV438 @ SV445 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2565]) ).

thf(2581,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( ~ ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
                | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2566]) ).

thf(2582,plain,
    ! [SV405: $i,SV416: $i,SV457: $i,SV461: $i] :
      ( ( ( ~ ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2566]) ).

thf(2583,plain,
    ! [SV441: $i,SV406: $i,SV436: $i,SV471: $i] :
      ( ( ( incident_c @ SV471 @ SV436 )
        = $false )
      | ( ( incident_c @ SV471 @ SV406 )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2569]) ).

thf(2584,plain,
    ! [SV436: $i,SV406: $i,SV441: $i,SV472: $i] :
      ( ( ( incident_c @ SV472 @ SV441 )
        = $false )
      | ( ( incident_c @ SV472 @ SV406 )
        = $true )
      | ( ( SV406
          = ( sum @ SV436 @ SV441 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2570]) ).

thf(2585,plain,
    ! [SV437: $i,SV442: $i,SV407: $i] :
      ( ( ( incident_c @ SV407 @ SV442 )
        = $false )
      | ( ( incident_c @ SV407 @ SV437 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2571]) ).

thf(2586,plain,
    ! [SV437: $i,SV442: $i,SV407: $i] :
      ( ( ( incident_c @ SV407 @ SV442 )
        = $false )
      | ( ( incident_c @ SV407 @ SV437 )
        = $false )
      | ( ( incident_c @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 )
        = $true )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2572]) ).

thf(2587,plain,
    ! [SV437: $i,SV442: $i,SV407: $i] :
      ( ( ( incident_c @ SV407 @ SV442 )
        = $false )
      | ( ( incident_c @ SV407 @ SV437 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV437 )
        = $false )
      | ( ( end_point @ ( sK14_Q @ SV442 @ SV437 @ SV407 ) @ SV442 )
        = $false )
      | ( ( meet @ SV407 @ SV437 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2573]) ).

thf(2588,plain,
    ! [SV407: $i,SV458: $i,SV455: $i,SV473: $i] :
      ( ( ( ~ ( incident_c @ SV473 @ SV455 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV473 @ SV458 ) )
        = $true )
      | ( ( end_point @ SV473 @ SV455 )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2574]) ).

thf(2589,plain,
    ! [SV407: $i,SV458: $i,SV455: $i,SV474: $i] :
      ( ( ( ~ ( incident_c @ SV474 @ SV455 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV474 @ SV458 ) )
        = $true )
      | ( ( end_point @ SV474 @ SV458 )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2575]) ).

thf(2590,plain,
    ! [SV466: $i,SV397: $i,SV417: $i,SV409: $i,SV420: $i] :
      ( ( ( part_of @ SV420 @ SV409 )
        = $true )
      | ( ( ( part_of @ SV409 @ SV420 )
          | ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( end_point @ SV466 @ SV417 )
        = $false )
      | ( ( end_point @ SV466 @ SV409 )
        = $false )
      | ( ( end_point @ SV466 @ SV420 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2576]) ).

thf(2591,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2577]) ).

thf(2592,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( ~ ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 ) )
        = $false )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[2577]) ).

thf(2593,plain,
    ! [SV443: $i,SV463: $i,SV451: $i,SV467: $i] :
      ( ( ( part_of @ SV467 @ SV451 )
        = $false )
      | ( ( part_of @ SV463 @ SV451 )
        = $false )
      | ( ( ~ ( incident_c @ SV443 @ SV463 ) )
        = $true )
      | ( ( ~ ( incident_c @ SV443 @ SV467 ) )
        = $true )
      | ( ( ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2579]) ).

thf(2594,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( ~ ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
              | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) ) )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2581]) ).

thf(2595,plain,
    ! [SV405: $i,SV416: $i,SV457: $i,SV461: $i] :
      ( ( ( end_point @ SV461 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2582]) ).

thf(2596,plain,
    ! [SV407: $i,SV458: $i,SV455: $i,SV473: $i] :
      ( ( ( incident_c @ SV473 @ SV455 )
        = $false )
      | ( ( ~ ( incident_c @ SV473 @ SV458 ) )
        = $true )
      | ( ( end_point @ SV473 @ SV455 )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2588]) ).

thf(2597,plain,
    ! [SV407: $i,SV458: $i,SV455: $i,SV474: $i] :
      ( ( ( incident_c @ SV474 @ SV455 )
        = $false )
      | ( ( ~ ( incident_c @ SV474 @ SV458 ) )
        = $true )
      | ( ( end_point @ SV474 @ SV458 )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2589]) ).

thf(2598,plain,
    ! [SV466: $i,SV397: $i,SV417: $i,SV420: $i,SV409: $i] :
      ( ( ( part_of @ SV409 @ SV420 )
        = $true )
      | ( ( ( part_of @ SV417 @ SV409 )
          | ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true )
      | ( ( part_of @ SV420 @ SV409 )
        = $true )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( end_point @ SV466 @ SV417 )
        = $false )
      | ( ( end_point @ SV466 @ SV409 )
        = $false )
      | ( ( end_point @ SV466 @ SV420 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2590]) ).

thf(2599,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2591]) ).

thf(2600,plain,
    ! [SV425: $i,SV433: $i] :
      ( ( ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 )
        = $true )
      | ( ( ~ ( incident_c @ SV425 @ SV433 ) )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[2592]) ).

thf(2601,plain,
    ! [SV467: $i,SV451: $i,SV463: $i,SV443: $i] :
      ( ( ( incident_c @ SV443 @ SV463 )
        = $false )
      | ( ( part_of @ SV463 @ SV451 )
        = $false )
      | ( ( part_of @ SV467 @ SV451 )
        = $false )
      | ( ( ~ ( incident_c @ SV443 @ SV467 ) )
        = $true )
      | ( ( ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2593]) ).

thf(2602,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
          | ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2594]) ).

thf(2603,plain,
    ! [SV407: $i,SV455: $i,SV458: $i,SV473: $i] :
      ( ( ( incident_c @ SV473 @ SV458 )
        = $false )
      | ( ( incident_c @ SV473 @ SV455 )
        = $false )
      | ( ( end_point @ SV473 @ SV455 )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2596]) ).

thf(2604,plain,
    ! [SV407: $i,SV455: $i,SV458: $i,SV474: $i] :
      ( ( ( incident_c @ SV474 @ SV458 )
        = $false )
      | ( ( incident_c @ SV474 @ SV455 )
        = $false )
      | ( ( end_point @ SV474 @ SV458 )
        = $true )
      | ( ( meet @ SV407 @ SV455 @ SV458 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2597]) ).

thf(2605,plain,
    ! [SV466: $i,SV397: $i,SV420: $i,SV409: $i,SV417: $i] :
      ( ( ( part_of @ SV417 @ SV409 )
        = $true )
      | ( ( ( part_of @ SV409 @ SV417 )
          | ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true )
      | ( ( part_of @ SV409 @ SV420 )
        = $true )
      | ( ( part_of @ SV420 @ SV409 )
        = $true )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( end_point @ SV466 @ SV417 )
        = $false )
      | ( ( end_point @ SV466 @ SV409 )
        = $false )
      | ( ( end_point @ SV466 @ SV420 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2598]) ).

thf(2606,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( incident_c @ SV425 @ SV433 )
        = $false )
      | ( ( part_of @ ( sK15_C1 @ SV433 @ SV425 ) @ SV433 )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2599]) ).

thf(2607,plain,
    ! [SV433: $i,SV425: $i] :
      ( ( ( incident_c @ SV425 @ SV433 )
        = $false )
      | ( ( part_of @ ( sK16_SY69 @ SV433 @ SV425 ) @ SV433 )
        = $true )
      | ( ( end_point @ SV425 @ SV433 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[2600]) ).

thf(2608,plain,
    ! [SV463: $i,SV451: $i,SV467: $i,SV443: $i] :
      ( ( ( incident_c @ SV443 @ SV467 )
        = $false )
      | ( ( part_of @ SV467 @ SV451 )
        = $false )
      | ( ( part_of @ SV463 @ SV451 )
        = $false )
      | ( ( incident_c @ SV443 @ SV463 )
        = $false )
      | ( ( ( part_of @ SV463 @ SV467 )
          | ( part_of @ SV467 @ SV463 ) )
        = $true )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2601]) ).

thf(2609,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( ~ ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2602]) ).

thf(2610,plain,
    ! [SV405: $i,SV416: $i,SV457: $i,SV461: $i] :
      ( ( ( ~ ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 ) )
        = $false )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2602]) ).

thf(2611,plain,
    ! [SV466: $i,SV397: $i,SV420: $i,SV417: $i,SV409: $i] :
      ( ( ( part_of @ SV409 @ SV417 )
        = $true )
      | ( ( ( part_of @ SV417 @ SV420 )
          | ( part_of @ SV420 @ SV417 ) )
        = $true )
      | ( ( part_of @ SV417 @ SV409 )
        = $true )
      | ( ( part_of @ SV409 @ SV420 )
        = $true )
      | ( ( part_of @ SV420 @ SV409 )
        = $true )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( end_point @ SV466 @ SV417 )
        = $false )
      | ( ( end_point @ SV466 @ SV409 )
        = $false )
      | ( ( end_point @ SV466 @ SV420 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2605]) ).

thf(2612,plain,
    ! [SV451: $i,SV443: $i,SV467: $i,SV463: $i] :
      ( ( ( part_of @ SV463 @ SV467 )
        = $true )
      | ( ( part_of @ SV467 @ SV463 )
        = $true )
      | ( ( incident_c @ SV443 @ SV463 )
        = $false )
      | ( ( part_of @ SV463 @ SV451 )
        = $false )
      | ( ( part_of @ SV467 @ SV451 )
        = $false )
      | ( ( incident_c @ SV443 @ SV467 )
        = $false )
      | ( ( end_point @ SV443 @ SV451 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2608]) ).

thf(2613,plain,
    ! [SV405: $i,SV457: $i,SV461: $i,SV416: $i] :
      ( ( ( end_point @ SV416 @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2609]) ).

thf(2614,plain,
    ! [SV405: $i,SV416: $i,SV457: $i,SV461: $i] :
      ( ( ( part_of @ ( sK5_Cpp @ SV461 @ SV457 @ SV416 @ SV405 ) @ SV405 )
        = $true )
      | ( ( between_c @ SV405 @ SV416 @ SV457 @ SV461 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2610]) ).

thf(2615,plain,
    ! [SV466: $i,SV397: $i,SV409: $i,SV420: $i,SV417: $i] :
      ( ( ( part_of @ SV417 @ SV420 )
        = $true )
      | ( ( part_of @ SV420 @ SV417 )
        = $true )
      | ( ( part_of @ SV409 @ SV417 )
        = $true )
      | ( ( part_of @ SV417 @ SV409 )
        = $true )
      | ( ( part_of @ SV409 @ SV420 )
        = $true )
      | ( ( part_of @ SV420 @ SV409 )
        = $true )
      | ( ( part_of @ SV420 @ SV397 )
        = $false )
      | ( ( part_of @ SV409 @ SV397 )
        = $false )
      | ( ( part_of @ SV417 @ SV397 )
        = $false )
      | ( ( end_point @ SV466 @ SV417 )
        = $false )
      | ( ( end_point @ SV466 @ SV409 )
        = $false )
      | ( ( end_point @ SV466 @ SV420 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[2611]) ).

thf(2616,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[2211,2615,2614,2613,2612,2607,2606,2604,2603,2595,2587,2586,2585,2584,2583,2580,2578,2568,2567,2553,2550,2546,2545,2541,2540,2523,2507,2500,2491,2479,2468,2448,2444,2440,2439,2423,2416,2405,2404,2399,2381,2376,2375,2374,2372,2354,2326,2313,2309,2226,2212]) ).

thf(2617,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[2616,499,923,1347,1770,2193]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 17:53:58 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.39  
% 0.14/0.39   No.of.Axioms: 17
% 0.14/0.39  
% 0.14/0.39   Length.of.Defs: 0
% 0.14/0.39  
% 0.14/0.39   Contains.Choice.Funs: false
% 0.21/0.41  .
% 0.21/0.41  (rf:0,axioms:17,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:19,loop_count:0,foatp_calls:0,translation:fof_full).......................................................................................................................................................
% 55.22/55.43  
% 55.22/55.43  ********************************
% 55.22/55.43  *   All subproblems solved!    *
% 55.22/55.43  ********************************
% 55.22/55.43  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,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:20,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2616,loop_count:0,foatp_calls:1,translation:fof_full)
% 57.27/57.51  
% 57.27/57.51  %**** Beginning of derivation protocol ****
% 57.27/57.51  % SZS output start CNFRefutation
% See solution above
% 57.34/57.52  
% 57.34/57.52  %**** End of derivation protocol ****
% 57.34/57.52  %**** no. of clauses in derivation: 2617 ****
% 57.34/57.52  %**** clause counter: 2616 ****
% 57.34/57.52  
% 57.34/57.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:18,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:20,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2616,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------