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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:19:13 AM UTC 2026

% Result   : Theorem 4.26s 0.92s
% Output   : CNFRefutation 4.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  743 ( 420 unt;   0 typ;   0 def)
%            Number of atoms       : 4838 (1188 equ;   0 cnn)
%            Maximal formula atoms :   10 (   6 avg)
%            Number of connectives : 16837 (2455   ~;1368   |; 212   &;12663   @)
%                                         (   0 <=>; 139  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  31 usr;   9 con; 0-8 aty)
%            Number of variables   : 3894 (   0   ^;3855   !;  39   ?;3894   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_circle,type,
    circle: $i > $i > $i > $i > $o ).

thf(tp_coll,type,
    coll: $i > $i > $i > $o ).

thf(tp_cong,type,
    cong: $i > $i > $i > $i > $o ).

thf(tp_contri,type,
    contri: $i > $i > $i > $i > $i > $i > $o ).

thf(tp_cyclic,type,
    cyclic: $i > $i > $i > $i > $o ).

thf(tp_eqangle,type,
    eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_eqratio,type,
    eqratio: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(tp_midp,type,
    midp: $i > $i > $i > $o ).

thf(tp_para,type,
    para: $i > $i > $i > $i > $o ).

thf(tp_perp,type,
    perp: $i > $i > $i > $i > $o ).

thf(tp_sK10_SY710,type,
    sK10_SY710: $i > $i > $i > $i > $i ).

thf(tp_sK11_SY714,type,
    sK11_SY714: $i > $i > $i > $i > $i ).

thf(tp_sK12_SY715,type,
    sK12_SY715: $i > $i > $i > $i > $i ).

thf(tp_sK13_SY720,type,
    sK13_SY720: $i > $i > $i > $i > $i ).

thf(tp_sK14_SY745,type,
    sK14_SY745: $i > $i > $i > $i > $i ).

thf(tp_sK15_SY764,type,
    sK15_SY764: $i > $i > $i > $i > $i > $i ).

thf(tp_sK16_SY787,type,
    sK16_SY787: $i > $i > $i > $i > $i > $i ).

thf(tp_sK17_SY788,type,
    sK17_SY788: $i > $i > $i > $i > $i > $i ).

thf(tp_sK18_SY812,type,
    sK18_SY812: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK19_SY809,type,
    sK19_SY809: $i > $i > $i > $i > $i ).

thf(tp_sK1_A,type,
    sK1_A: $i ).

thf(tp_sK20_SY833,type,
    sK20_SY833: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK2_SY239,type,
    sK2_SY239: $i ).

thf(tp_sK3_SY245,type,
    sK3_SY245: $i ).

thf(tp_sK4_SY250,type,
    sK4_SY250: $i ).

thf(tp_sK5_SY254,type,
    sK5_SY254: $i ).

thf(tp_sK6_SY257,type,
    sK6_SY257: $i ).

thf(tp_sK7_SY259,type,
    sK7_SY259: $i ).

thf(tp_sK8_SY637,type,
    sK8_SY637: $i > $i > $i > $i ).

thf(tp_sK9_SY700,type,
    sK9_SY700: $i > $i > $i > $i > $i ).

thf(tp_simtri,type,
    simtri: $i > $i > $i > $i > $i > $i > $o ).

thf(1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
    ? [R: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( coll @ P @ A @ C )
        & ( coll @ P @ B @ D )
        & ( coll @ Q @ A @ B ) )
     => ( ( coll @ P @ Q @ R )
        & ( coll @ R @ C @ D ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX18) ).

thf(2,axiom,
    ! [A: $i,B: $i,O: $i] :
    ? [C: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( perp @ A @ O @ O @ B ) )
     => ( ( coll @ A @ O @ C )
        & ( cong @ O @ A @ O @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX17) ).

thf(3,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
    ? [P: $i] :
      ( ( ( perp @ A @ B @ A @ C )
        & ( perp @ C @ A @ C @ D )
        & ( midp @ M @ B @ D ) )
     => ( midp @ P @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX16) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
    ? [P: $i] :
      ( ( ( perp @ A @ C @ C @ B )
        & ( coll @ B @ E @ F ) )
     => ( ( coll @ P @ E @ F )
        & ( perp @ P @ A @ E @ F ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).

thf(8,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
    ? [P: $i] :
      ( ( circle @ O @ A @ B @ C )
     => ( perp @ P @ A @ A @ O ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).

thf(9,axiom,
    ! [A: $i,B: $i,C: $i,H: $i] :
    ? [P: $i,Q: $i] :
      ( ( ( perp @ A @ H @ B @ C )
        & ( perp @ B @ H @ A @ C ) )
     => ( ( coll @ P @ C @ B )
        & ( perp @ A @ P @ C @ B )
        & ( coll @ Q @ C @ A )
        & ( perp @ B @ Q @ C @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX10) ).

thf(12,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
    ? [P: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( midp @ N @ C @ D )
        & ( coll @ C @ A @ B )
        & ( coll @ D @ A @ B ) )
     => ( midp @ P @ A @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX7) ).

thf(14,axiom,
    ! [A: $i,B: $i,P: $i,X: $i,Y: $i] :
    ? [Q: $i] :
      ( ( ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
        & ~ ( coll @ A @ B @ P ) )
     => ( ( eqangle @ A @ P @ B @ P @ A @ Q @ B @ Q )
        & ( cyclic @ X @ B @ P @ Q ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX5) ).

thf(15,axiom,
    ! [A: $i,B: $i,O: $i,X: $i] :
    ? [M: $i] :
      ( ( ( perp @ O @ X @ A @ B )
        & ( cong @ O @ A @ O @ B ) )
     => ( ( coll @ B @ A @ M )
        & ( coll @ M @ O @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX4) ).

thf(16,axiom,
    ! [A: $i,B: $i,O: $i,X: $i] :
    ? [M: $i] :
      ( ( ( perp @ O @ X @ A @ B )
        & ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
     => ( ( coll @ B @ A @ M )
        & ( coll @ M @ O @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX3) ).

thf(17,axiom,
    ! [A: $i,B: $i,O: $i,X: $i] :
    ? [M: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
     => ( ( coll @ B @ A @ M )
        & ( coll @ M @ O @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX2) ).

thf(18,axiom,
    ! [A: $i,M: $i,O: $i,X: $i] :
    ? [B: $i] :
      ( ( ( perp @ O @ M @ M @ A )
        & ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O ) )
     => ( ( coll @ B @ A @ M )
        & ( coll @ B @ O @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX1) ).

thf(20,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( perp @ P @ Q @ U @ V ) )
     => ( perp @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD74) ).

thf(21,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( para @ P @ Q @ U @ V ) )
     => ( para @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).

thf(22,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
        & ~ ( perp @ A @ B @ C @ D ) )
     => ( para @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD72) ).

thf(23,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
        & ~ ( para @ A @ B @ C @ D ) )
     => ( perp @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD71) ).

thf(25,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( coll @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).

thf(28,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( para @ A @ B @ A @ C )
     => ( coll @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).

thf(34,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( simtri @ A @ B @ C @ P @ Q @ R )
     => ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD60) ).

thf(36,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R )
        & ( eqangle @ A @ C @ B @ C @ P @ R @ Q @ R )
        & ~ ( coll @ A @ B @ C ) )
     => ( simtri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD58) ).

thf(38,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q ) )
     => ( perp @ A @ B @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).

thf(41,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( coll @ O @ A @ C ) )
     => ( perp @ A @ B @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).

thf(45,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
     => ( perp @ O @ A @ A @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD49) ).

thf(46,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( perp @ O @ A @ A @ X ) )
     => ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD48) ).

thf(47,axiom,
    ! [A: $i,B: $i,O: $i] :
      ( ( ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B )
        & ~ ( coll @ O @ A @ B ) )
     => ( cong @ O @ A @ O @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD47) ).

thf(48,axiom,
    ! [A: $i,B: $i,O: $i] :
      ( ( cong @ O @ A @ O @ B )
     => ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD46) ).

thf(52,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ( coll @ P @ Q @ B ) )
     => ( cyclic @ A @ B @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).

thf(53,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ~ ( coll @ P @ Q @ A ) )
     => ( cyclic @ A @ B @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).

thf(54,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( cyclic @ A @ B @ P @ Q )
     => ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).

thf(55,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).

thf(56,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
     => ( para @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).

thf(73,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
     => ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).

thf(74,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).

thf(75,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ P @ Q @ U @ V @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD20) ).

thf(76,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).

thf(77,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).

thf(85,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( perp @ C @ D @ E @ F ) )
     => ( perp @ A @ B @ E @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).

thf(86,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( perp @ A @ B @ C @ D )
        & ( perp @ C @ D @ E @ F ) )
     => ( para @ A @ B @ E @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).

thf(87,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ C @ D @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).

thf(88,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ A @ B @ D @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).

thf(92,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( coll @ A @ B @ C )
        & ( coll @ A @ B @ D ) )
     => ( coll @ C @ D @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).

thf(93,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( coll @ A @ B @ C )
     => ( coll @ B @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).

thf(94,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( coll @ A @ B @ C )
     => ( coll @ A @ C @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).

thf(95,conjecture,
    ! [A: $i,B: $i,C: $i,I: $i,Y: $i,L: $i,X: $i] :
      ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
        & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
        & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
        & ( perp @ Y @ I @ A @ C )
        & ( coll @ Y @ A @ C )
        & ( perp @ L @ I @ B @ C )
        & ( coll @ L @ B @ C )
        & ( perp @ X @ B @ A @ I )
        & ( coll @ X @ A @ I ) )
     => ( coll @ X @ Y @ L ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).

thf(96,negated_conjecture,
    ( ( ! [A: $i,B: $i,C: $i,I: $i,Y: $i,L: $i,X: $i] :
          ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
            & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
            & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
            & ( perp @ Y @ I @ A @ C )
            & ( coll @ Y @ A @ C )
            & ( perp @ L @ I @ B @ C )
            & ( coll @ L @ B @ C )
            & ( perp @ X @ B @ A @ I )
            & ( coll @ X @ A @ I ) )
         => ( coll @ X @ Y @ L ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[95]) ).

thf(97,plain,
    ( ( ! [A: $i,B: $i,C: $i,I: $i,Y: $i,L: $i,X: $i] :
          ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
            & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
            & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
            & ( perp @ Y @ I @ A @ C )
            & ( coll @ Y @ A @ C )
            & ( perp @ L @ I @ B @ C )
            & ( coll @ L @ B @ C )
            & ( perp @ X @ B @ A @ I )
            & ( coll @ X @ A @ I ) )
         => ( coll @ X @ Y @ L ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[96]) ).

thf(98,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
        ? [R: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( coll @ P @ A @ C )
            & ( coll @ P @ B @ D )
            & ( coll @ Q @ A @ B ) )
         => ( ( coll @ P @ Q @ R )
            & ( coll @ R @ C @ D ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(99,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
        ? [C: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( perp @ A @ O @ O @ B ) )
         => ( ( coll @ A @ O @ C )
            & ( cong @ O @ A @ O @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(100,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
        ? [P: $i] :
          ( ( ( perp @ A @ B @ A @ C )
            & ( perp @ C @ A @ C @ D )
            & ( midp @ M @ B @ D ) )
         => ( midp @ P @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(101,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
        ? [P: $i] :
          ( ( ( perp @ A @ C @ C @ B )
            & ( coll @ B @ E @ F ) )
         => ( ( coll @ P @ E @ F )
            & ( perp @ P @ A @ E @ F ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(102,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
        ? [P: $i] :
          ( ( circle @ O @ A @ B @ C )
         => ( perp @ P @ A @ A @ O ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(103,plain,
    ( ( ! [A: $i,B: $i,C: $i,H: $i] :
        ? [P: $i,Q: $i] :
          ( ( ( perp @ A @ H @ B @ C )
            & ( perp @ B @ H @ A @ C ) )
         => ( ( coll @ P @ C @ B )
            & ( perp @ A @ P @ C @ B )
            & ( coll @ Q @ C @ A )
            & ( perp @ B @ Q @ C @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(104,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
        ? [P: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ N @ C @ D )
            & ( coll @ C @ A @ B )
            & ( coll @ D @ A @ B ) )
         => ( midp @ P @ A @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(105,plain,
    ( ( ! [A: $i,B: $i,P: $i,X: $i,Y: $i] :
        ? [Q: $i] :
          ( ( ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
            & ~ ( coll @ A @ B @ P ) )
         => ( ( eqangle @ A @ P @ B @ P @ A @ Q @ B @ Q )
            & ( cyclic @ X @ B @ P @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(106,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
        ? [M: $i] :
          ( ( ( perp @ O @ X @ A @ B )
            & ( cong @ O @ A @ O @ B ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ M @ O @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(107,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
        ? [M: $i] :
          ( ( ( perp @ O @ X @ A @ B )
            & ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ M @ O @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(108,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
        ? [M: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ M @ O @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(109,plain,
    ( ( ! [A: $i,M: $i,O: $i,X: $i] :
        ? [B: $i] :
          ( ( ( perp @ O @ M @ M @ A )
            & ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ B @ O @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(110,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( perp @ P @ Q @ U @ V ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(111,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( para @ P @ Q @ U @ V ) )
         => ( para @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(112,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
            & ~ ( perp @ A @ B @ C @ D ) )
         => ( para @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(113,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
            & ~ ( para @ A @ B @ C @ D ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(114,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(115,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(116,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( simtri @ A @ B @ C @ P @ Q @ R )
         => ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(117,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R )
            & ( eqangle @ A @ C @ B @ C @ P @ R @ Q @ R )
            & ~ ( coll @ A @ B @ C ) )
         => ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(118,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( cong @ A @ P @ B @ P )
            & ( cong @ A @ Q @ B @ Q ) )
         => ( perp @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(119,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( coll @ O @ A @ C ) )
         => ( perp @ A @ B @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(120,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
         => ( perp @ O @ A @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(121,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( perp @ O @ A @ A @ X ) )
         => ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(122,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
          ( ( ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B )
            & ~ ( coll @ O @ A @ B ) )
         => ( cong @ O @ A @ O @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(123,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
          ( ( cong @ O @ A @ O @ B )
         => ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(124,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
            & ( coll @ P @ Q @ B ) )
         => ( cyclic @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(125,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
            & ~ ( coll @ P @ Q @ A ) )
         => ( cyclic @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(126,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( cyclic @ A @ B @ P @ Q )
         => ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(127,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
          ( ( para @ A @ B @ C @ D )
         => ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(128,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
          ( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
         => ( para @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(129,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
         => ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(130,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(131,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(132,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(133,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(134,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( perp @ C @ D @ E @ F ) )
         => ( perp @ A @ B @ E @ F ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(135,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( perp @ A @ B @ C @ D )
            & ( perp @ C @ D @ E @ F ) )
         => ( para @ A @ B @ E @ F ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(136,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( perp @ A @ B @ C @ D )
         => ( perp @ C @ D @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(137,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( perp @ A @ B @ C @ D )
         => ( perp @ A @ B @ D @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(138,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( coll @ A @ B @ C )
            & ( coll @ A @ B @ D ) )
         => ( coll @ C @ D @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92]) ).

thf(139,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(140,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(141,plain,
    ( ( ! [SY239: $i,SY240: $i,SY241: $i,SY242: $i,SY243: $i,SY244: $i] :
          ( ( ( eqangle @ SY241 @ sK1_A @ sK1_A @ SY239 @ SY241 @ sK1_A @ sK1_A @ SY240 )
            & ( eqangle @ SY241 @ SY239 @ SY239 @ SY240 @ SY241 @ SY239 @ SY239 @ sK1_A )
            & ( eqangle @ SY241 @ SY240 @ SY240 @ sK1_A @ SY241 @ SY240 @ SY240 @ SY239 )
            & ( perp @ SY242 @ SY241 @ sK1_A @ SY240 )
            & ( coll @ SY242 @ sK1_A @ SY240 )
            & ( perp @ SY243 @ SY241 @ SY239 @ SY240 )
            & ( coll @ SY243 @ SY239 @ SY240 )
            & ( perp @ SY244 @ SY239 @ sK1_A @ SY241 )
            & ( coll @ SY244 @ sK1_A @ SY241 ) )
         => ( coll @ SY244 @ SY242 @ SY243 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[97]) ).

thf(142,plain,
    ( ( ! [SY245: $i,SY246: $i,SY247: $i,SY248: $i,SY249: $i] :
          ( ( ( eqangle @ SY246 @ sK1_A @ sK1_A @ sK2_SY239 @ SY246 @ sK1_A @ sK1_A @ SY245 )
            & ( eqangle @ SY246 @ sK2_SY239 @ sK2_SY239 @ SY245 @ SY246 @ sK2_SY239 @ sK2_SY239 @ sK1_A )
            & ( eqangle @ SY246 @ SY245 @ SY245 @ sK1_A @ SY246 @ SY245 @ SY245 @ sK2_SY239 )
            & ( perp @ SY247 @ SY246 @ sK1_A @ SY245 )
            & ( coll @ SY247 @ sK1_A @ SY245 )
            & ( perp @ SY248 @ SY246 @ sK2_SY239 @ SY245 )
            & ( coll @ SY248 @ sK2_SY239 @ SY245 )
            & ( perp @ SY249 @ sK2_SY239 @ sK1_A @ SY246 )
            & ( coll @ SY249 @ sK1_A @ SY246 ) )
         => ( coll @ SY249 @ SY247 @ SY248 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[141]) ).

thf(143,plain,
    ( ( ! [SY250: $i,SY251: $i,SY252: $i,SY253: $i] :
          ( ( ( eqangle @ SY250 @ sK1_A @ sK1_A @ sK2_SY239 @ SY250 @ sK1_A @ sK1_A @ sK3_SY245 )
            & ( eqangle @ SY250 @ sK2_SY239 @ sK2_SY239 @ sK3_SY245 @ SY250 @ sK2_SY239 @ sK2_SY239 @ sK1_A )
            & ( eqangle @ SY250 @ sK3_SY245 @ sK3_SY245 @ sK1_A @ SY250 @ sK3_SY245 @ sK3_SY245 @ sK2_SY239 )
            & ( perp @ SY251 @ SY250 @ sK1_A @ sK3_SY245 )
            & ( coll @ SY251 @ sK1_A @ sK3_SY245 )
            & ( perp @ SY252 @ SY250 @ sK2_SY239 @ sK3_SY245 )
            & ( coll @ SY252 @ sK2_SY239 @ sK3_SY245 )
            & ( perp @ SY253 @ sK2_SY239 @ sK1_A @ SY250 )
            & ( coll @ SY253 @ sK1_A @ SY250 ) )
         => ( coll @ SY253 @ SY251 @ SY252 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[142]) ).

thf(144,plain,
    ( ( ! [SY254: $i,SY255: $i,SY256: $i] :
          ( ( ( eqangle @ sK4_SY250 @ sK1_A @ sK1_A @ sK2_SY239 @ sK4_SY250 @ sK1_A @ sK1_A @ sK3_SY245 )
            & ( eqangle @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK3_SY245 @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK1_A )
            & ( eqangle @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK1_A @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK2_SY239 )
            & ( perp @ SY254 @ sK4_SY250 @ sK1_A @ sK3_SY245 )
            & ( coll @ SY254 @ sK1_A @ sK3_SY245 )
            & ( perp @ SY255 @ sK4_SY250 @ sK2_SY239 @ sK3_SY245 )
            & ( coll @ SY255 @ sK2_SY239 @ sK3_SY245 )
            & ( perp @ SY256 @ sK2_SY239 @ sK1_A @ sK4_SY250 )
            & ( coll @ SY256 @ sK1_A @ sK4_SY250 ) )
         => ( coll @ SY256 @ SY254 @ SY255 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[143]) ).

thf(145,plain,
    ( ( ! [SY257: $i,SY258: $i] :
          ( ( ( eqangle @ sK4_SY250 @ sK1_A @ sK1_A @ sK2_SY239 @ sK4_SY250 @ sK1_A @ sK1_A @ sK3_SY245 )
            & ( eqangle @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK3_SY245 @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK1_A )
            & ( eqangle @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK1_A @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK2_SY239 )
            & ( perp @ sK5_SY254 @ sK4_SY250 @ sK1_A @ sK3_SY245 )
            & ( coll @ sK5_SY254 @ sK1_A @ sK3_SY245 )
            & ( perp @ SY257 @ sK4_SY250 @ sK2_SY239 @ sK3_SY245 )
            & ( coll @ SY257 @ sK2_SY239 @ sK3_SY245 )
            & ( perp @ SY258 @ sK2_SY239 @ sK1_A @ sK4_SY250 )
            & ( coll @ SY258 @ sK1_A @ sK4_SY250 ) )
         => ( coll @ SY258 @ sK5_SY254 @ SY257 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[144]) ).

thf(146,plain,
    ( ( ! [SY259: $i] :
          ( ( ( eqangle @ sK4_SY250 @ sK1_A @ sK1_A @ sK2_SY239 @ sK4_SY250 @ sK1_A @ sK1_A @ sK3_SY245 )
            & ( eqangle @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK3_SY245 @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK1_A )
            & ( eqangle @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK1_A @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK2_SY239 )
            & ( perp @ sK5_SY254 @ sK4_SY250 @ sK1_A @ sK3_SY245 )
            & ( coll @ sK5_SY254 @ sK1_A @ sK3_SY245 )
            & ( perp @ sK6_SY257 @ sK4_SY250 @ sK2_SY239 @ sK3_SY245 )
            & ( coll @ sK6_SY257 @ sK2_SY239 @ sK3_SY245 )
            & ( perp @ SY259 @ sK2_SY239 @ sK1_A @ sK4_SY250 )
            & ( coll @ SY259 @ sK1_A @ sK4_SY250 ) )
         => ( coll @ SY259 @ sK5_SY254 @ sK6_SY257 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[145]) ).

thf(147,plain,
    ( ( ( ( eqangle @ sK4_SY250 @ sK1_A @ sK1_A @ sK2_SY239 @ sK4_SY250 @ sK1_A @ sK1_A @ sK3_SY245 )
        & ( eqangle @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK3_SY245 @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK1_A )
        & ( eqangle @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK1_A @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK2_SY239 )
        & ( perp @ sK5_SY254 @ sK4_SY250 @ sK1_A @ sK3_SY245 )
        & ( coll @ sK5_SY254 @ sK1_A @ sK3_SY245 )
        & ( perp @ sK6_SY257 @ sK4_SY250 @ sK2_SY239 @ sK3_SY245 )
        & ( coll @ sK6_SY257 @ sK2_SY239 @ sK3_SY245 )
        & ( perp @ sK7_SY259 @ sK2_SY239 @ sK1_A @ sK4_SY250 )
        & ( coll @ sK7_SY259 @ sK1_A @ sK4_SY250 ) )
     => ( coll @ sK7_SY259 @ sK5_SY254 @ sK6_SY257 ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[146]) ).

thf(148,plain,
    ( ( eqangle @ sK4_SY250 @ sK1_A @ sK1_A @ sK2_SY239 @ sK4_SY250 @ sK1_A @ sK1_A @ sK3_SY245 )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(149,plain,
    ( ( eqangle @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK3_SY245 @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK1_A )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(150,plain,
    ( ( eqangle @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK1_A @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK2_SY239 )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(151,plain,
    ( ( perp @ sK5_SY254 @ sK4_SY250 @ sK1_A @ sK3_SY245 )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(152,plain,
    ( ( coll @ sK5_SY254 @ sK1_A @ sK3_SY245 )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(153,plain,
    ( ( perp @ sK6_SY257 @ sK4_SY250 @ sK2_SY239 @ sK3_SY245 )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(154,plain,
    ( ( coll @ sK6_SY257 @ sK2_SY239 @ sK3_SY245 )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(155,plain,
    ( ( perp @ sK7_SY259 @ sK2_SY239 @ sK1_A @ sK4_SY250 )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(156,plain,
    ( ( coll @ sK7_SY259 @ sK1_A @ sK4_SY250 )
    = $true ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(157,plain,
    ( ( coll @ sK7_SY259 @ sK5_SY254 @ sK6_SY257 )
    = $false ),
    inference(standard_cnf,[status(thm)],[147]) ).

thf(158,plain,
    ( ( ~ ( coll @ sK7_SY259 @ sK5_SY254 @ sK6_SY257 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[157]) ).

thf(159,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[140]) ).

thf(160,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[139]) ).

thf(161,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( coll @ A @ B @ C )
            & ( coll @ A @ B @ D ) )
         => ( coll @ C @ D @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[138]) ).

thf(162,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( perp @ A @ B @ C @ D )
         => ( perp @ A @ B @ D @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[137]) ).

thf(163,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( perp @ A @ B @ C @ D )
         => ( perp @ C @ D @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[136]) ).

thf(164,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( perp @ A @ B @ C @ D )
            & ( perp @ C @ D @ E @ F ) )
         => ( para @ A @ B @ E @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[135]) ).

thf(165,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( perp @ C @ D @ E @ F ) )
         => ( perp @ A @ B @ E @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[134]) ).

thf(166,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ) )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(167,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(168,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[131]) ).

thf(169,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) )
    = $true ),
    inference(copy,[status(thm)],[130]) ).

thf(170,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
         => ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(171,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
          ( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
         => ( para @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(172,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
          ( ( para @ A @ B @ C @ D )
         => ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[127]) ).

thf(173,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( cyclic @ A @ B @ P @ Q )
         => ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[126]) ).

thf(174,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
            & ~ ( coll @ P @ Q @ A ) )
         => ( cyclic @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(175,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
            & ( coll @ P @ Q @ B ) )
         => ( cyclic @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[124]) ).

thf(176,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
          ( ( cong @ O @ A @ O @ B )
         => ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(177,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
          ( ( ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B )
            & ~ ( coll @ O @ A @ B ) )
         => ( cong @ O @ A @ O @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(178,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( perp @ O @ A @ A @ X ) )
         => ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(179,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
         => ( perp @ O @ A @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(180,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( coll @ O @ A @ C ) )
         => ( perp @ A @ B @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(181,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( cong @ A @ P @ B @ P )
            & ( cong @ A @ Q @ B @ Q ) )
         => ( perp @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(182,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R )
            & ( eqangle @ A @ C @ B @ C @ P @ R @ Q @ R )
            & ~ ( coll @ A @ B @ C ) )
         => ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(183,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( simtri @ A @ B @ C @ P @ Q @ R )
         => ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(184,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(185,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(186,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
            & ~ ( para @ A @ B @ C @ D ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(187,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
            & ~ ( perp @ A @ B @ C @ D ) )
         => ( para @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(188,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( para @ P @ Q @ U @ V ) )
         => ( para @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(189,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( perp @ P @ Q @ U @ V ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(190,plain,
    ( ( ! [A: $i,M: $i,O: $i,X: $i] :
        ? [B: $i] :
          ( ( ( perp @ O @ M @ M @ A )
            & ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ B @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(191,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
        ? [M: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ M @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(192,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
        ? [M: $i] :
          ( ( ( perp @ O @ X @ A @ B )
            & ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ M @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(193,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
        ? [M: $i] :
          ( ( ( perp @ O @ X @ A @ B )
            & ( cong @ O @ A @ O @ B ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ M @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(194,plain,
    ( ( ! [A: $i,B: $i,P: $i,X: $i,Y: $i] :
        ? [Q: $i] :
          ( ( ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
            & ~ ( coll @ A @ B @ P ) )
         => ( ( eqangle @ A @ P @ B @ P @ A @ Q @ B @ Q )
            & ( cyclic @ X @ B @ P @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(195,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
        ? [P: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ N @ C @ D )
            & ( coll @ C @ A @ B )
            & ( coll @ D @ A @ B ) )
         => ( midp @ P @ A @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(196,plain,
    ( ( ! [A: $i,B: $i,C: $i,H: $i] :
        ? [P: $i,Q: $i] :
          ( ( ( perp @ A @ H @ B @ C )
            & ( perp @ B @ H @ A @ C ) )
         => ( ( coll @ P @ C @ B )
            & ( perp @ A @ P @ C @ B )
            & ( coll @ Q @ C @ A )
            & ( perp @ B @ Q @ C @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(197,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
        ? [P: $i] :
          ( ( circle @ O @ A @ B @ C )
         => ( perp @ P @ A @ A @ O ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(198,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
        ? [P: $i] :
          ( ( ( perp @ A @ C @ C @ B )
            & ( coll @ B @ E @ F ) )
         => ( ( coll @ P @ E @ F )
            & ( perp @ P @ A @ E @ F ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(199,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
        ? [P: $i] :
          ( ( ( perp @ A @ B @ A @ C )
            & ( perp @ C @ A @ C @ D )
            & ( midp @ M @ B @ D ) )
         => ( midp @ P @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(200,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
        ? [C: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( perp @ A @ O @ O @ B ) )
         => ( ( coll @ A @ O @ C )
            & ( cong @ O @ A @ O @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(201,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
        ? [R: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( coll @ P @ A @ C )
            & ( coll @ P @ B @ D )
            & ( coll @ Q @ A @ B ) )
         => ( ( coll @ P @ Q @ R )
            & ( coll @ R @ C @ D ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(202,plain,
    ( ( coll @ sK7_SY259 @ sK1_A @ sK4_SY250 )
    = $true ),
    inference(copy,[status(thm)],[156]) ).

thf(203,plain,
    ( ( perp @ sK7_SY259 @ sK2_SY239 @ sK1_A @ sK4_SY250 )
    = $true ),
    inference(copy,[status(thm)],[155]) ).

thf(204,plain,
    ( ( coll @ sK6_SY257 @ sK2_SY239 @ sK3_SY245 )
    = $true ),
    inference(copy,[status(thm)],[154]) ).

thf(205,plain,
    ( ( perp @ sK6_SY257 @ sK4_SY250 @ sK2_SY239 @ sK3_SY245 )
    = $true ),
    inference(copy,[status(thm)],[153]) ).

thf(206,plain,
    ( ( coll @ sK5_SY254 @ sK1_A @ sK3_SY245 )
    = $true ),
    inference(copy,[status(thm)],[152]) ).

thf(207,plain,
    ( ( perp @ sK5_SY254 @ sK4_SY250 @ sK1_A @ sK3_SY245 )
    = $true ),
    inference(copy,[status(thm)],[151]) ).

thf(208,plain,
    ( ( eqangle @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK1_A @ sK4_SY250 @ sK3_SY245 @ sK3_SY245 @ sK2_SY239 )
    = $true ),
    inference(copy,[status(thm)],[150]) ).

thf(209,plain,
    ( ( eqangle @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK3_SY245 @ sK4_SY250 @ sK2_SY239 @ sK2_SY239 @ sK1_A )
    = $true ),
    inference(copy,[status(thm)],[149]) ).

thf(210,plain,
    ( ( eqangle @ sK4_SY250 @ sK1_A @ sK1_A @ sK2_SY239 @ sK4_SY250 @ sK1_A @ sK1_A @ sK3_SY245 )
    = $true ),
    inference(copy,[status(thm)],[148]) ).

thf(211,plain,
    ( ( ~ ( coll @ sK7_SY259 @ sK5_SY254 @ sK6_SY257 ) )
    = $true ),
    inference(copy,[status(thm)],[158]) ).

thf(212,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX2 @ SX0 @ SX0 @ SX1 @ SX0 @ SX1 @ SX2 @ SX1 )
                | ~ ~ ( coll @ SX2 @ SX0 @ SX1 ) )
          | ( cong @ SX2 @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(213,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ! [SX5: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 )
                      | ~ ( coll @ SX1 @ SX3 @ SX4 ) )
                | ~ ( ~ ( coll @ SX5 @ SX3 @ SX4 )
                    | ~ ( perp @ SX5 @ SX0 @ SX3 @ SX4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(214,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( perp @ SX2 @ SX3 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(215,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                      | ~ ( eqangle @ SX0 @ SX2 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 ) )
                | ~ ( ~ ( coll @ SX1 @ SX0 @ SX4 )
                    | ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(216,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( eqangle @ SX2 @ SX0 @ SX2 @ SX1 @ SX3 @ SX0 @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(217,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ~ ( perp @ SX3 @ SX0 @ SX0 @ SX4 ) )
          | ( eqangle @ SX0 @ SX4 @ SX0 @ SX1 @ SX2 @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(218,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i,SX11: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
                | ~ ( eqangle @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 @ SX11 ) )
          | ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX8 @ SX9 @ SX10 @ SX11 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(219,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ~ ! [SX5: $i] :
                    ~ ( ~ ~ ( ~ ( perp @ SX0 @ SX3 @ SX1 @ SX2 )
                            | ~ ( perp @ SX1 @ SX3 @ SX0 @ SX2 ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SX4 @ SX2 @ SX1 )
                                      | ~ ( perp @ SX0 @ SX4 @ SX2 @ SX1 ) )
                                | ~ ( coll @ SX5 @ SX2 @ SX0 ) )
                          | ~ ( perp @ SX1 @ SX5 @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(220,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( perp @ SX2 @ SX3 @ SX4 @ SX5 ) )
          | ( perp @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(221,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
                      | ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 ) )
                | ~ ( ~ ( coll @ SX1 @ SX0 @ SX4 )
                    | ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(222,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ( perp @ SX4 @ SX0 @ SX0 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(223,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
          | ( eqangle @ SX2 @ SX3 @ SX0 @ SX1 @ SX6 @ SX7 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(224,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SX2 @ SX1 @ SX1 @ SX0 )
                      | ~ ( eqangle @ SX3 @ SX2 @ SX1 @ SX2 @ SX1 @ SX2 @ SX0 @ SX2 ) )
                | ~ ( ~ ( coll @ SX4 @ SX0 @ SX1 )
                    | ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(225,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ~ ! [SX6: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
                                  | ~ ( coll @ SX4 @ SX0 @ SX2 ) )
                            | ~ ( coll @ SX4 @ SX1 @ SX3 ) )
                      | ~ ( coll @ SX5 @ SX0 @ SX1 ) )
                | ~ ( ~ ( coll @ SX4 @ SX5 @ SX6 )
                    | ~ ( coll @ SX6 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(226,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( perp @ SX2 @ SX3 @ SX4 @ SX5 ) )
          | ( para @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(227,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(228,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ! [SX3: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                      | ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 ) )
                | ~ ( ~ ( coll @ SX0 @ SX2 @ SX3 )
                    | ~ ( cong @ SX2 @ SX0 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(229,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
          | ( eqangle @ SX1 @ SX0 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(230,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ~ ( eqangle @ SX0 @ SX4 @ SX0 @ SX1 @ SX2 @ SX0 @ SX2 @ SX1 ) )
          | ( perp @ SX3 @ SX0 @ SX0 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(231,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX2 @ SX0 @ SX2 @ SX1 @ SX3 @ SX0 @ SX3 @ SX1 )
                | ~ ~ ( coll @ SX2 @ SX3 @ SX0 ) )
          | ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(232,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX2 @ SX0 @ SX2 @ SX1 @ SX3 @ SX0 @ SX3 @ SX1 )
                | ~ ( coll @ SX2 @ SX3 @ SX1 ) )
          | ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(233,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( perp @ SX0 @ SX1 @ SX3 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(234,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( para @ SX0 @ SX1 @ SX0 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(235,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
          | ( eqangle @ SX0 @ SX1 @ SX4 @ SX5 @ SX2 @ SX3 @ SX6 @ SX7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(236,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ( eqangle @ SX0 @ SX1 @ SX4 @ SX5 @ SX2 @ SX3 @ SX4 @ SX5 )
          | ( para @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(237,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ( simtri @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
          | ( eqangle @ SX0 @ SX1 @ SX1 @ SX2 @ SX3 @ SX4 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(238,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ! [SX5: $i] :
              ~ ( ~ ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ SX3 @ SX1 @ SX4 )
                      | ~ ~ ( coll @ SX0 @ SX1 @ SX2 ) )
                | ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ SX5 @ SX1 @ SX5 )
                    | ~ ( cyclic @ SX3 @ SX1 @ SX2 @ SX5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(239,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( coll @ SX0 @ SX1 @ SX2 )
                | ~ ( coll @ SX0 @ SX1 @ SX3 ) )
          | ( coll @ SX2 @ SX3 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(240,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX2 @ SX3 @ SX0 @ SX1 )
                | ~ ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) )
          | ( para @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[187]) ).

thf(241,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ! [SX5: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SX0 @ SX1 @ SX0 @ SX2 )
                            | ~ ( perp @ SX2 @ SX0 @ SX2 @ SX3 ) )
                      | ~ ( midp @ SX4 @ SX1 @ SX3 ) )
                | ( midp @ SX5 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(242,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( eqangle @ SX0 @ SX1 @ SX4 @ SX5 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(243,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
                      | ~ ( eqangle @ SX0 @ SX2 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 ) )
                | ~ ( ~ ( coll @ SX1 @ SX0 @ SX4 )
                    | ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(244,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX2 @ SX3 @ SX0 @ SX1 )
                | ~ ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 ) )
          | ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(245,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
          | ( eqangle @ SX2 @ SX0 @ SX0 @ SX1 @ SX0 @ SX1 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(246,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( cong @ SX0 @ SX2 @ SX1 @ SX2 )
                | ~ ( cong @ SX0 @ SX3 @ SX1 @ SX3 ) )
          | ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(247,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(248,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ~ ! [SX7: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
                                  | ~ ( midp @ SX5 @ SX2 @ SX3 ) )
                            | ~ ( coll @ SX2 @ SX0 @ SX1 ) )
                      | ~ ( coll @ SX3 @ SX0 @ SX1 ) )
                | ( midp @ SX7 @ SX0 @ SX6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[195]) ).

thf(249,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(250,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
          | ( eqangle @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(251,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ~ ( coll @ SX3 @ SX0 @ SX2 ) )
          | ( perp @ SX0 @ SX1 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(252,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
                | ~ ( perp @ SX4 @ SX5 @ SX6 @ SX7 ) )
          | ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[189]) ).

thf(253,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
                | ~ ( para @ SX4 @ SX5 @ SX6 @ SX7 ) )
          | ( para @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(254,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX1 @ SX2 @ SX3 @ SX4 @ SX4 @ SX5 )
                      | ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX3 @ SX5 @ SX4 @ SX5 ) )
                | ~ ~ ( coll @ SX0 @ SX1 @ SX2 ) )
          | ( simtri @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(255,plain,
    ( ( coll @ sK7_SY259 @ sK5_SY254 @ sK6_SY257 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(256,plain,
    ! [SV1: $i] :
      ( ( ! [SY260: $i,SY261: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY261 @ SV1 @ SV1 @ SY260 @ SV1 @ SY260 @ SY261 @ SY260 )
                  | ~ ~ ( coll @ SY261 @ SV1 @ SY260 ) )
            | ( cong @ SY261 @ SV1 @ SY261 @ SY260 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[212]) ).

thf(257,plain,
    ! [SV2: $i] :
      ( ( ! [SY262: $i,SY263: $i,SY264: $i,SY265: $i] :
            ~ ! [SY266: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV2 @ SY263 @ SY263 @ SY262 )
                        | ~ ( coll @ SY262 @ SY264 @ SY265 ) )
                  | ~ ( ~ ( coll @ SY266 @ SY264 @ SY265 )
                      | ~ ( perp @ SY266 @ SV2 @ SY264 @ SY265 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[213]) ).

thf(258,plain,
    ! [SV3: $i] :
      ( ( ! [SY267: $i,SY268: $i,SY269: $i] :
            ( ~ ( perp @ SV3 @ SY267 @ SY268 @ SY269 )
            | ( perp @ SY268 @ SY269 @ SV3 @ SY267 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[214]) ).

thf(259,plain,
    ! [SV4: $i] :
      ( ( ! [SY270: $i,SY271: $i,SY272: $i] :
            ~ ! [SY273: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY271 @ SV4 @ SY271 @ SY270 )
                        | ~ ( eqangle @ SV4 @ SY271 @ SY271 @ SY272 @ SY271 @ SY272 @ SY271 @ SY270 ) )
                  | ~ ( ~ ( coll @ SY270 @ SV4 @ SY273 )
                      | ~ ( coll @ SY273 @ SY271 @ SY272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[215]) ).

thf(260,plain,
    ! [SV5: $i] :
      ( ( ! [SY274: $i,SY275: $i,SY276: $i] :
            ( ~ ( cyclic @ SV5 @ SY274 @ SY275 @ SY276 )
            | ( eqangle @ SY275 @ SV5 @ SY275 @ SY274 @ SY276 @ SV5 @ SY276 @ SY274 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[216]) ).

thf(261,plain,
    ! [SV6: $i] :
      ( ( ! [SY277: $i,SY278: $i,SY279: $i,SY280: $i] :
            ( ~ ~ ( ~ ( circle @ SY279 @ SV6 @ SY277 @ SY278 )
                  | ~ ( perp @ SY279 @ SV6 @ SV6 @ SY280 ) )
            | ( eqangle @ SV6 @ SY280 @ SV6 @ SY277 @ SY278 @ SV6 @ SY278 @ SY277 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(262,plain,
    ! [SV7: $i] :
      ( ( ! [SY281: $i,SY282: $i,SY283: $i,SY284: $i,SY285: $i,SY286: $i,SY287: $i,SY288: $i,SY289: $i,SY290: $i,SY291: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SY281 @ SY282 @ SY283 @ SY284 @ SY285 @ SY286 @ SY287 )
                  | ~ ( eqangle @ SY284 @ SY285 @ SY286 @ SY287 @ SY288 @ SY289 @ SY290 @ SY291 ) )
            | ( eqangle @ SV7 @ SY281 @ SY282 @ SY283 @ SY288 @ SY289 @ SY290 @ SY291 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[218]) ).

thf(263,plain,
    ! [SV8: $i] :
      ( ( ! [SY292: $i,SY293: $i,SY294: $i] :
            ~ ! [SY295: $i] :
                ~ ~ ! [SY296: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV8 @ SY294 @ SY292 @ SY293 )
                              | ~ ( perp @ SY292 @ SY294 @ SV8 @ SY293 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY295 @ SY293 @ SY292 )
                                        | ~ ( perp @ SV8 @ SY295 @ SY293 @ SY292 ) )
                                  | ~ ( coll @ SY296 @ SY293 @ SV8 ) )
                            | ~ ( perp @ SY292 @ SY296 @ SY293 @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(264,plain,
    ! [SV9: $i] :
      ( ( ! [SY297: $i,SY298: $i,SY299: $i,SY300: $i,SY301: $i] :
            ( ~ ~ ( ~ ( para @ SV9 @ SY297 @ SY298 @ SY299 )
                  | ~ ( perp @ SY298 @ SY299 @ SY300 @ SY301 ) )
            | ( perp @ SV9 @ SY297 @ SY300 @ SY301 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[220]) ).

thf(265,plain,
    ! [SV10: $i] :
      ( ( ! [SY302: $i,SY303: $i,SY304: $i] :
            ~ ! [SY305: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY303 @ SY304 @ SV10 @ SY302 )
                        | ~ ( cong @ SY303 @ SV10 @ SY303 @ SY302 ) )
                  | ~ ( ~ ( coll @ SY302 @ SV10 @ SY305 )
                      | ~ ( coll @ SY305 @ SY303 @ SY304 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[221]) ).

thf(266,plain,
    ! [SV11: $i] :
      ( ( ! [SY306: $i,SY307: $i,SY308: $i] :
            ~ ! [SY309: $i] :
                ~ ( ~ ( circle @ SY308 @ SV11 @ SY306 @ SY307 )
                  | ( perp @ SY309 @ SV11 @ SV11 @ SY308 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[222]) ).

thf(267,plain,
    ! [SV12: $i] :
      ( ( ! [SY310: $i,SY311: $i,SY312: $i,SY313: $i,SY314: $i,SY315: $i,SY316: $i] :
            ( ~ ( eqangle @ SV12 @ SY310 @ SY311 @ SY312 @ SY313 @ SY314 @ SY315 @ SY316 )
            | ( eqangle @ SY311 @ SY312 @ SV12 @ SY310 @ SY315 @ SY316 @ SY313 @ SY314 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(268,plain,
    ! [SV13: $i] :
      ( ( ! [SY317: $i,SY318: $i,SY319: $i] :
            ~ ! [SY320: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY318 @ SY317 @ SY317 @ SV13 )
                        | ~ ( eqangle @ SY319 @ SY318 @ SY317 @ SY318 @ SY317 @ SY318 @ SV13 @ SY318 ) )
                  | ~ ( ~ ( coll @ SY320 @ SV13 @ SY317 )
                      | ~ ( coll @ SY320 @ SY318 @ SY319 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[224]) ).

thf(269,plain,
    ! [SV14: $i] :
      ( ( ! [SY321: $i,SY322: $i,SY323: $i,SY324: $i,SY325: $i] :
            ~ ! [SY326: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SY321 @ SY322 @ SY323 )
                                    | ~ ( coll @ SY324 @ SV14 @ SY322 ) )
                              | ~ ( coll @ SY324 @ SY321 @ SY323 ) )
                        | ~ ( coll @ SY325 @ SV14 @ SY321 ) )
                  | ~ ( ~ ( coll @ SY324 @ SY325 @ SY326 )
                      | ~ ( coll @ SY326 @ SY322 @ SY323 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[225]) ).

thf(270,plain,
    ! [SV15: $i] :
      ( ( ! [SY327: $i,SY328: $i,SY329: $i,SY330: $i,SY331: $i] :
            ( ~ ~ ( ~ ( perp @ SV15 @ SY327 @ SY328 @ SY329 )
                  | ~ ( perp @ SY328 @ SY329 @ SY330 @ SY331 ) )
            | ( para @ SV15 @ SY327 @ SY330 @ SY331 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[226]) ).

thf(271,plain,
    ! [SV16: $i] :
      ( ( ! [SY332: $i,SY333: $i] :
            ( ~ ( midp @ SV16 @ SY332 @ SY333 )
            | ( coll @ SV16 @ SY332 @ SY333 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[227]) ).

thf(272,plain,
    ! [SV17: $i] :
      ( ( ! [SY334: $i,SY335: $i] :
            ~ ! [SY336: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY335 @ SV17 @ SY335 @ SY334 )
                        | ~ ( perp @ SV17 @ SY335 @ SY335 @ SY334 ) )
                  | ~ ( ~ ( coll @ SV17 @ SY335 @ SY336 )
                      | ~ ( cong @ SY335 @ SV17 @ SY335 @ SY336 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[228]) ).

thf(273,plain,
    ! [SV18: $i] :
      ( ( ! [SY337: $i,SY338: $i,SY339: $i,SY340: $i,SY341: $i,SY342: $i,SY343: $i] :
            ( ~ ( eqangle @ SV18 @ SY337 @ SY338 @ SY339 @ SY340 @ SY341 @ SY342 @ SY343 )
            | ( eqangle @ SY337 @ SV18 @ SY338 @ SY339 @ SY340 @ SY341 @ SY342 @ SY343 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[229]) ).

thf(274,plain,
    ! [SV19: $i] :
      ( ( ! [SY344: $i,SY345: $i,SY346: $i,SY347: $i] :
            ( ~ ~ ( ~ ( circle @ SY346 @ SV19 @ SY344 @ SY345 )
                  | ~ ( eqangle @ SV19 @ SY347 @ SV19 @ SY344 @ SY345 @ SV19 @ SY345 @ SY344 ) )
            | ( perp @ SY346 @ SV19 @ SV19 @ SY347 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[230]) ).

thf(275,plain,
    ! [SV20: $i] :
      ( ( ! [SY348: $i,SY349: $i,SY350: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY349 @ SV20 @ SY349 @ SY348 @ SY350 @ SV20 @ SY350 @ SY348 )
                  | ~ ~ ( coll @ SY349 @ SY350 @ SV20 ) )
            | ( cyclic @ SV20 @ SY348 @ SY349 @ SY350 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[231]) ).

thf(276,plain,
    ! [SV21: $i] :
      ( ( ! [SY351: $i,SY352: $i,SY353: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY352 @ SV21 @ SY352 @ SY351 @ SY353 @ SV21 @ SY353 @ SY351 )
                  | ~ ( coll @ SY352 @ SY353 @ SY351 ) )
            | ( cyclic @ SV21 @ SY351 @ SY352 @ SY353 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[232]) ).

thf(277,plain,
    ! [SV22: $i] :
      ( ( ! [SY354: $i,SY355: $i,SY356: $i] :
            ( ~ ( perp @ SV22 @ SY354 @ SY355 @ SY356 )
            | ( perp @ SV22 @ SY354 @ SY356 @ SY355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[233]) ).

thf(278,plain,
    ! [SV23: $i] :
      ( ( ! [SY357: $i,SY358: $i] :
            ( ~ ( para @ SV23 @ SY357 @ SV23 @ SY358 )
            | ( coll @ SV23 @ SY357 @ SY358 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(279,plain,
    ! [SV24: $i] :
      ( ( ! [SY359: $i,SY360: $i,SY361: $i,SY362: $i,SY363: $i,SY364: $i,SY365: $i] :
            ( ~ ( eqangle @ SV24 @ SY359 @ SY360 @ SY361 @ SY362 @ SY363 @ SY364 @ SY365 )
            | ( eqangle @ SV24 @ SY359 @ SY362 @ SY363 @ SY360 @ SY361 @ SY364 @ SY365 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(280,plain,
    ! [SV25: $i] :
      ( ( ! [SY366: $i,SY367: $i,SY368: $i,SY369: $i,SY370: $i] :
            ( ~ ( eqangle @ SV25 @ SY366 @ SY369 @ SY370 @ SY367 @ SY368 @ SY369 @ SY370 )
            | ( para @ SV25 @ SY366 @ SY367 @ SY368 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(281,plain,
    ! [SV26: $i] :
      ( ( ! [SY371: $i,SY372: $i,SY373: $i,SY374: $i,SY375: $i] :
            ( ~ ( simtri @ SV26 @ SY371 @ SY372 @ SY373 @ SY374 @ SY375 )
            | ( eqangle @ SV26 @ SY371 @ SY371 @ SY372 @ SY373 @ SY374 @ SY374 @ SY375 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(282,plain,
    ! [SV27: $i] :
      ( ( ! [SY376: $i,SY377: $i,SY378: $i,SY379: $i] :
            ~ ! [SY380: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV27 @ SY377 @ SY376 @ SY377 @ SV27 @ SY378 @ SY376 @ SY379 )
                        | ~ ~ ( coll @ SV27 @ SY376 @ SY377 ) )
                  | ~ ( ~ ( eqangle @ SV27 @ SY377 @ SY376 @ SY377 @ SV27 @ SY380 @ SY376 @ SY380 )
                      | ~ ( cyclic @ SY378 @ SY376 @ SY377 @ SY380 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(283,plain,
    ! [SV28: $i] :
      ( ( ! [SY381: $i,SY382: $i,SY383: $i] :
            ( ~ ~ ( ~ ( coll @ SV28 @ SY381 @ SY382 )
                  | ~ ( coll @ SV28 @ SY381 @ SY383 ) )
            | ( coll @ SY382 @ SY383 @ SV28 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(284,plain,
    ! [SV29: $i] :
      ( ( ! [SY384: $i,SY385: $i,SY386: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV29 @ SY384 @ SY385 @ SY386 @ SY385 @ SY386 @ SV29 @ SY384 )
                  | ~ ~ ( perp @ SV29 @ SY384 @ SY385 @ SY386 ) )
            | ( para @ SV29 @ SY384 @ SY385 @ SY386 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(285,plain,
    ! [SV30: $i] :
      ( ( ! [SY387: $i,SY388: $i,SY389: $i,SY390: $i] :
            ~ ! [SY391: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SY387 @ SV30 @ SY388 )
                              | ~ ( perp @ SY388 @ SV30 @ SY388 @ SY389 ) )
                        | ~ ( midp @ SY390 @ SY387 @ SY389 ) )
                  | ( midp @ SY391 @ SV30 @ SY388 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(286,plain,
    ! [SV31: $i] :
      ( ( ! [SY392: $i,SY393: $i,SY394: $i,SY395: $i,SY396: $i] :
            ( ~ ( para @ SV31 @ SY392 @ SY393 @ SY394 )
            | ( eqangle @ SV31 @ SY392 @ SY395 @ SY396 @ SY393 @ SY394 @ SY395 @ SY396 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(287,plain,
    ! [SV32: $i] :
      ( ( ! [SY397: $i,SY398: $i,SY399: $i] :
            ~ ! [SY400: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY398 @ SY399 @ SV32 @ SY397 )
                        | ~ ( eqangle @ SV32 @ SY398 @ SY398 @ SY399 @ SY398 @ SY399 @ SY398 @ SY397 ) )
                  | ~ ( ~ ( coll @ SY397 @ SV32 @ SY400 )
                      | ~ ( coll @ SY400 @ SY398 @ SY399 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(288,plain,
    ! [SV33: $i] :
      ( ( ! [SY401: $i,SY402: $i,SY403: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV33 @ SY401 @ SY402 @ SY403 @ SY402 @ SY403 @ SV33 @ SY401 )
                  | ~ ~ ( para @ SV33 @ SY401 @ SY402 @ SY403 ) )
            | ( perp @ SV33 @ SY401 @ SY402 @ SY403 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(289,plain,
    ! [SV34: $i] :
      ( ( ! [SY404: $i,SY405: $i] :
            ( ~ ( cong @ SY405 @ SV34 @ SY405 @ SY404 )
            | ( eqangle @ SY405 @ SV34 @ SV34 @ SY404 @ SV34 @ SY404 @ SY405 @ SY404 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(290,plain,
    ! [SV35: $i] :
      ( ( ! [SY406: $i,SY407: $i,SY408: $i] :
            ( ~ ~ ( ~ ( cong @ SV35 @ SY407 @ SY406 @ SY407 )
                  | ~ ( cong @ SV35 @ SY408 @ SY406 @ SY408 ) )
            | ( perp @ SV35 @ SY406 @ SY407 @ SY408 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(291,plain,
    ! [SV36: $i] :
      ( ( ! [SY409: $i,SY410: $i] :
            ( ~ ( coll @ SV36 @ SY409 @ SY410 )
            | ( coll @ SV36 @ SY410 @ SY409 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(292,plain,
    ! [SV37: $i] :
      ( ( ! [SY411: $i,SY412: $i,SY413: $i,SY414: $i,SY415: $i,SY416: $i] :
            ~ ! [SY417: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY414 @ SV37 @ SY411 )
                                    | ~ ( midp @ SY415 @ SY412 @ SY413 ) )
                              | ~ ( coll @ SY412 @ SV37 @ SY411 ) )
                        | ~ ( coll @ SY413 @ SV37 @ SY411 ) )
                  | ( midp @ SY417 @ SV37 @ SY416 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(293,plain,
    ! [SV38: $i] :
      ( ( ! [SY418: $i,SY419: $i] :
            ( ~ ( coll @ SV38 @ SY418 @ SY419 )
            | ( coll @ SY418 @ SV38 @ SY419 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(294,plain,
    ! [SV39: $i] :
      ( ( ! [SY420: $i,SY421: $i,SY422: $i,SY423: $i,SY424: $i,SY425: $i,SY426: $i] :
            ( ~ ( eqangle @ SV39 @ SY420 @ SY421 @ SY422 @ SY423 @ SY424 @ SY425 @ SY426 )
            | ( eqangle @ SY423 @ SY424 @ SY425 @ SY426 @ SV39 @ SY420 @ SY421 @ SY422 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(295,plain,
    ! [SV40: $i] :
      ( ( ! [SY427: $i,SY428: $i,SY429: $i] :
            ( ~ ~ ( ~ ( circle @ SY429 @ SV40 @ SY427 @ SY428 )
                  | ~ ( coll @ SY429 @ SV40 @ SY428 ) )
            | ( perp @ SV40 @ SY427 @ SY427 @ SY428 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(296,plain,
    ! [SV41: $i] :
      ( ( ! [SY430: $i,SY431: $i,SY432: $i,SY433: $i,SY434: $i,SY435: $i,SY436: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV41 @ SY430 @ SY431 @ SY432 @ SY433 @ SY434 @ SY435 @ SY436 )
                  | ~ ( perp @ SY433 @ SY434 @ SY435 @ SY436 ) )
            | ( perp @ SV41 @ SY430 @ SY431 @ SY432 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(297,plain,
    ! [SV42: $i] :
      ( ( ! [SY437: $i,SY438: $i,SY439: $i,SY440: $i,SY441: $i,SY442: $i,SY443: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV42 @ SY437 @ SY438 @ SY439 @ SY440 @ SY441 @ SY442 @ SY443 )
                  | ~ ( para @ SY440 @ SY441 @ SY442 @ SY443 ) )
            | ( para @ SV42 @ SY437 @ SY438 @ SY439 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(298,plain,
    ! [SV43: $i] :
      ( ( ! [SY444: $i,SY445: $i,SY446: $i,SY447: $i,SY448: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV43 @ SY444 @ SY444 @ SY445 @ SY446 @ SY447 @ SY447 @ SY448 )
                        | ~ ( eqangle @ SV43 @ SY445 @ SY444 @ SY445 @ SY446 @ SY448 @ SY447 @ SY448 ) )
                  | ~ ~ ( coll @ SV43 @ SY444 @ SY445 ) )
            | ( simtri @ SV43 @ SY444 @ SY445 @ SY446 @ SY447 @ SY448 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(299,plain,
    ! [SV44: $i,SV1: $i] :
      ( ( ! [SY449: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY449 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SY449 @ SV44 )
                  | ~ ~ ( coll @ SY449 @ SV1 @ SV44 ) )
            | ( cong @ SY449 @ SV1 @ SY449 @ SV44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(300,plain,
    ! [SV45: $i,SV2: $i] :
      ( ( ! [SY450: $i,SY451: $i,SY452: $i] :
            ~ ! [SY453: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV2 @ SY450 @ SY450 @ SV45 )
                        | ~ ( coll @ SV45 @ SY451 @ SY452 ) )
                  | ~ ( ~ ( coll @ SY453 @ SY451 @ SY452 )
                      | ~ ( perp @ SY453 @ SV2 @ SY451 @ SY452 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(301,plain,
    ! [SV46: $i,SV3: $i] :
      ( ( ! [SY454: $i,SY455: $i] :
            ( ~ ( perp @ SV3 @ SV46 @ SY454 @ SY455 )
            | ( perp @ SY454 @ SY455 @ SV3 @ SV46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(302,plain,
    ! [SV47: $i,SV4: $i] :
      ( ( ! [SY456: $i,SY457: $i] :
            ~ ! [SY458: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY456 @ SV4 @ SY456 @ SV47 )
                        | ~ ( eqangle @ SV4 @ SY456 @ SY456 @ SY457 @ SY456 @ SY457 @ SY456 @ SV47 ) )
                  | ~ ( ~ ( coll @ SV47 @ SV4 @ SY458 )
                      | ~ ( coll @ SY458 @ SY456 @ SY457 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(303,plain,
    ! [SV48: $i,SV5: $i] :
      ( ( ! [SY459: $i,SY460: $i] :
            ( ~ ( cyclic @ SV5 @ SV48 @ SY459 @ SY460 )
            | ( eqangle @ SY459 @ SV5 @ SY459 @ SV48 @ SY460 @ SV5 @ SY460 @ SV48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(304,plain,
    ! [SV49: $i,SV6: $i] :
      ( ( ! [SY461: $i,SY462: $i,SY463: $i] :
            ( ~ ~ ( ~ ( circle @ SY462 @ SV6 @ SV49 @ SY461 )
                  | ~ ( perp @ SY462 @ SV6 @ SV6 @ SY463 ) )
            | ( eqangle @ SV6 @ SY463 @ SV6 @ SV49 @ SY461 @ SV6 @ SY461 @ SV49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(305,plain,
    ! [SV50: $i,SV7: $i] :
      ( ( ! [SY464: $i,SY465: $i,SY466: $i,SY467: $i,SY468: $i,SY469: $i,SY470: $i,SY471: $i,SY472: $i,SY473: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SY464 @ SY465 @ SY466 @ SY467 @ SY468 @ SY469 )
                  | ~ ( eqangle @ SY466 @ SY467 @ SY468 @ SY469 @ SY470 @ SY471 @ SY472 @ SY473 ) )
            | ( eqangle @ SV7 @ SV50 @ SY464 @ SY465 @ SY470 @ SY471 @ SY472 @ SY473 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(306,plain,
    ! [SV51: $i,SV8: $i] :
      ( ( ! [SY474: $i,SY475: $i] :
            ~ ! [SY476: $i] :
                ~ ~ ! [SY477: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV8 @ SY475 @ SV51 @ SY474 )
                              | ~ ( perp @ SV51 @ SY475 @ SV8 @ SY474 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY476 @ SY474 @ SV51 )
                                        | ~ ( perp @ SV8 @ SY476 @ SY474 @ SV51 ) )
                                  | ~ ( coll @ SY477 @ SY474 @ SV8 ) )
                            | ~ ( perp @ SV51 @ SY477 @ SY474 @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(307,plain,
    ! [SV52: $i,SV9: $i] :
      ( ( ! [SY478: $i,SY479: $i,SY480: $i,SY481: $i] :
            ( ~ ~ ( ~ ( para @ SV9 @ SV52 @ SY478 @ SY479 )
                  | ~ ( perp @ SY478 @ SY479 @ SY480 @ SY481 ) )
            | ( perp @ SV9 @ SV52 @ SY480 @ SY481 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(308,plain,
    ! [SV53: $i,SV10: $i] :
      ( ( ! [SY482: $i,SY483: $i] :
            ~ ! [SY484: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY482 @ SY483 @ SV10 @ SV53 )
                        | ~ ( cong @ SY482 @ SV10 @ SY482 @ SV53 ) )
                  | ~ ( ~ ( coll @ SV53 @ SV10 @ SY484 )
                      | ~ ( coll @ SY484 @ SY482 @ SY483 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(309,plain,
    ! [SV54: $i,SV11: $i] :
      ( ( ! [SY485: $i,SY486: $i] :
            ~ ! [SY487: $i] :
                ~ ( ~ ( circle @ SY486 @ SV11 @ SV54 @ SY485 )
                  | ( perp @ SY487 @ SV11 @ SV11 @ SY486 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(310,plain,
    ! [SV55: $i,SV12: $i] :
      ( ( ! [SY488: $i,SY489: $i,SY490: $i,SY491: $i,SY492: $i,SY493: $i] :
            ( ~ ( eqangle @ SV12 @ SV55 @ SY488 @ SY489 @ SY490 @ SY491 @ SY492 @ SY493 )
            | ( eqangle @ SY488 @ SY489 @ SV12 @ SV55 @ SY492 @ SY493 @ SY490 @ SY491 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(311,plain,
    ! [SV13: $i,SV56: $i] :
      ( ( ! [SY494: $i,SY495: $i] :
            ~ ! [SY496: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY494 @ SV56 @ SV56 @ SV13 )
                        | ~ ( eqangle @ SY495 @ SY494 @ SV56 @ SY494 @ SV56 @ SY494 @ SV13 @ SY494 ) )
                  | ~ ( ~ ( coll @ SY496 @ SV13 @ SV56 )
                      | ~ ( coll @ SY496 @ SY494 @ SY495 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(312,plain,
    ! [SV57: $i,SV14: $i] :
      ( ( ! [SY497: $i,SY498: $i,SY499: $i,SY500: $i] :
            ~ ! [SY501: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SY497 @ SY498 )
                                    | ~ ( coll @ SY499 @ SV14 @ SY497 ) )
                              | ~ ( coll @ SY499 @ SV57 @ SY498 ) )
                        | ~ ( coll @ SY500 @ SV14 @ SV57 ) )
                  | ~ ( ~ ( coll @ SY499 @ SY500 @ SY501 )
                      | ~ ( coll @ SY501 @ SY497 @ SY498 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(313,plain,
    ! [SV58: $i,SV15: $i] :
      ( ( ! [SY502: $i,SY503: $i,SY504: $i,SY505: $i] :
            ( ~ ~ ( ~ ( perp @ SV15 @ SV58 @ SY502 @ SY503 )
                  | ~ ( perp @ SY502 @ SY503 @ SY504 @ SY505 ) )
            | ( para @ SV15 @ SV58 @ SY504 @ SY505 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(314,plain,
    ! [SV59: $i,SV16: $i] :
      ( ( ! [SY506: $i] :
            ( ~ ( midp @ SV16 @ SV59 @ SY506 )
            | ( coll @ SV16 @ SV59 @ SY506 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(315,plain,
    ! [SV60: $i,SV17: $i] :
      ( ( ! [SY507: $i] :
            ~ ! [SY508: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY507 @ SV17 @ SY507 @ SV60 )
                        | ~ ( perp @ SV17 @ SY507 @ SY507 @ SV60 ) )
                  | ~ ( ~ ( coll @ SV17 @ SY507 @ SY508 )
                      | ~ ( cong @ SY507 @ SV17 @ SY507 @ SY508 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(316,plain,
    ! [SV61: $i,SV18: $i] :
      ( ( ! [SY509: $i,SY510: $i,SY511: $i,SY512: $i,SY513: $i,SY514: $i] :
            ( ~ ( eqangle @ SV18 @ SV61 @ SY509 @ SY510 @ SY511 @ SY512 @ SY513 @ SY514 )
            | ( eqangle @ SV61 @ SV18 @ SY509 @ SY510 @ SY511 @ SY512 @ SY513 @ SY514 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(317,plain,
    ! [SV62: $i,SV19: $i] :
      ( ( ! [SY515: $i,SY516: $i,SY517: $i] :
            ( ~ ~ ( ~ ( circle @ SY516 @ SV19 @ SV62 @ SY515 )
                  | ~ ( eqangle @ SV19 @ SY517 @ SV19 @ SV62 @ SY515 @ SV19 @ SY515 @ SV62 ) )
            | ( perp @ SY516 @ SV19 @ SV19 @ SY517 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(318,plain,
    ! [SV63: $i,SV20: $i] :
      ( ( ! [SY518: $i,SY519: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY518 @ SV20 @ SY518 @ SV63 @ SY519 @ SV20 @ SY519 @ SV63 )
                  | ~ ~ ( coll @ SY518 @ SY519 @ SV20 ) )
            | ( cyclic @ SV20 @ SV63 @ SY518 @ SY519 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(319,plain,
    ! [SV64: $i,SV21: $i] :
      ( ( ! [SY520: $i,SY521: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY520 @ SV21 @ SY520 @ SV64 @ SY521 @ SV21 @ SY521 @ SV64 )
                  | ~ ( coll @ SY520 @ SY521 @ SV64 ) )
            | ( cyclic @ SV21 @ SV64 @ SY520 @ SY521 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(320,plain,
    ! [SV65: $i,SV22: $i] :
      ( ( ! [SY522: $i,SY523: $i] :
            ( ~ ( perp @ SV22 @ SV65 @ SY522 @ SY523 )
            | ( perp @ SV22 @ SV65 @ SY523 @ SY522 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(321,plain,
    ! [SV66: $i,SV23: $i] :
      ( ( ! [SY524: $i] :
            ( ~ ( para @ SV23 @ SV66 @ SV23 @ SY524 )
            | ( coll @ SV23 @ SV66 @ SY524 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(322,plain,
    ! [SV67: $i,SV24: $i] :
      ( ( ! [SY525: $i,SY526: $i,SY527: $i,SY528: $i,SY529: $i,SY530: $i] :
            ( ~ ( eqangle @ SV24 @ SV67 @ SY525 @ SY526 @ SY527 @ SY528 @ SY529 @ SY530 )
            | ( eqangle @ SV24 @ SV67 @ SY527 @ SY528 @ SY525 @ SY526 @ SY529 @ SY530 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(323,plain,
    ! [SV68: $i,SV25: $i] :
      ( ( ! [SY531: $i,SY532: $i,SY533: $i,SY534: $i] :
            ( ~ ( eqangle @ SV25 @ SV68 @ SY533 @ SY534 @ SY531 @ SY532 @ SY533 @ SY534 )
            | ( para @ SV25 @ SV68 @ SY531 @ SY532 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(324,plain,
    ! [SV69: $i,SV26: $i] :
      ( ( ! [SY535: $i,SY536: $i,SY537: $i,SY538: $i] :
            ( ~ ( simtri @ SV26 @ SV69 @ SY535 @ SY536 @ SY537 @ SY538 )
            | ( eqangle @ SV26 @ SV69 @ SV69 @ SY535 @ SY536 @ SY537 @ SY537 @ SY538 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(325,plain,
    ! [SV70: $i,SV27: $i] :
      ( ( ! [SY539: $i,SY540: $i,SY541: $i] :
            ~ ! [SY542: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV27 @ SY539 @ SV70 @ SY539 @ SV27 @ SY540 @ SV70 @ SY541 )
                        | ~ ~ ( coll @ SV27 @ SV70 @ SY539 ) )
                  | ~ ( ~ ( eqangle @ SV27 @ SY539 @ SV70 @ SY539 @ SV27 @ SY542 @ SV70 @ SY542 )
                      | ~ ( cyclic @ SY540 @ SV70 @ SY539 @ SY542 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(326,plain,
    ! [SV71: $i,SV28: $i] :
      ( ( ! [SY543: $i,SY544: $i] :
            ( ~ ~ ( ~ ( coll @ SV28 @ SV71 @ SY543 )
                  | ~ ( coll @ SV28 @ SV71 @ SY544 ) )
            | ( coll @ SY543 @ SY544 @ SV28 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(327,plain,
    ! [SV72: $i,SV29: $i] :
      ( ( ! [SY545: $i,SY546: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV29 @ SV72 @ SY545 @ SY546 @ SY545 @ SY546 @ SV29 @ SV72 )
                  | ~ ~ ( perp @ SV29 @ SV72 @ SY545 @ SY546 ) )
            | ( para @ SV29 @ SV72 @ SY545 @ SY546 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(328,plain,
    ! [SV73: $i,SV30: $i] :
      ( ( ! [SY547: $i,SY548: $i,SY549: $i] :
            ~ ! [SY550: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SY547 )
                              | ~ ( perp @ SY547 @ SV30 @ SY547 @ SY548 ) )
                        | ~ ( midp @ SY549 @ SV73 @ SY548 ) )
                  | ( midp @ SY550 @ SV30 @ SY547 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(329,plain,
    ! [SV74: $i,SV31: $i] :
      ( ( ! [SY551: $i,SY552: $i,SY553: $i,SY554: $i] :
            ( ~ ( para @ SV31 @ SV74 @ SY551 @ SY552 )
            | ( eqangle @ SV31 @ SV74 @ SY553 @ SY554 @ SY551 @ SY552 @ SY553 @ SY554 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(330,plain,
    ! [SV75: $i,SV32: $i] :
      ( ( ! [SY555: $i,SY556: $i] :
            ~ ! [SY557: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY555 @ SY556 @ SV32 @ SV75 )
                        | ~ ( eqangle @ SV32 @ SY555 @ SY555 @ SY556 @ SY555 @ SY556 @ SY555 @ SV75 ) )
                  | ~ ( ~ ( coll @ SV75 @ SV32 @ SY557 )
                      | ~ ( coll @ SY557 @ SY555 @ SY556 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(331,plain,
    ! [SV76: $i,SV33: $i] :
      ( ( ! [SY558: $i,SY559: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SY558 @ SY559 @ SY558 @ SY559 @ SV33 @ SV76 )
                  | ~ ~ ( para @ SV33 @ SV76 @ SY558 @ SY559 ) )
            | ( perp @ SV33 @ SV76 @ SY558 @ SY559 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(332,plain,
    ! [SV77: $i,SV34: $i] :
      ( ( ! [SY560: $i] :
            ( ~ ( cong @ SY560 @ SV34 @ SY560 @ SV77 )
            | ( eqangle @ SY560 @ SV34 @ SV34 @ SV77 @ SV34 @ SV77 @ SY560 @ SV77 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(333,plain,
    ! [SV78: $i,SV35: $i] :
      ( ( ! [SY561: $i,SY562: $i] :
            ( ~ ~ ( ~ ( cong @ SV35 @ SY561 @ SV78 @ SY561 )
                  | ~ ( cong @ SV35 @ SY562 @ SV78 @ SY562 ) )
            | ( perp @ SV35 @ SV78 @ SY561 @ SY562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(334,plain,
    ! [SV79: $i,SV36: $i] :
      ( ( ! [SY563: $i] :
            ( ~ ( coll @ SV36 @ SV79 @ SY563 )
            | ( coll @ SV36 @ SY563 @ SV79 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[291]) ).

thf(335,plain,
    ! [SV80: $i,SV37: $i] :
      ( ( ! [SY564: $i,SY565: $i,SY566: $i,SY567: $i,SY568: $i] :
            ~ ! [SY569: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY566 @ SV37 @ SV80 )
                                    | ~ ( midp @ SY567 @ SY564 @ SY565 ) )
                              | ~ ( coll @ SY564 @ SV37 @ SV80 ) )
                        | ~ ( coll @ SY565 @ SV37 @ SV80 ) )
                  | ( midp @ SY569 @ SV37 @ SY568 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(336,plain,
    ! [SV81: $i,SV38: $i] :
      ( ( ! [SY570: $i] :
            ( ~ ( coll @ SV38 @ SV81 @ SY570 )
            | ( coll @ SV81 @ SV38 @ SY570 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(337,plain,
    ! [SV82: $i,SV39: $i] :
      ( ( ! [SY571: $i,SY572: $i,SY573: $i,SY574: $i,SY575: $i,SY576: $i] :
            ( ~ ( eqangle @ SV39 @ SV82 @ SY571 @ SY572 @ SY573 @ SY574 @ SY575 @ SY576 )
            | ( eqangle @ SY573 @ SY574 @ SY575 @ SY576 @ SV39 @ SV82 @ SY571 @ SY572 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(338,plain,
    ! [SV83: $i,SV40: $i] :
      ( ( ! [SY577: $i,SY578: $i] :
            ( ~ ~ ( ~ ( circle @ SY578 @ SV40 @ SV83 @ SY577 )
                  | ~ ( coll @ SY578 @ SV40 @ SY577 ) )
            | ( perp @ SV40 @ SV83 @ SV83 @ SY577 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(339,plain,
    ! [SV84: $i,SV41: $i] :
      ( ( ! [SY579: $i,SY580: $i,SY581: $i,SY582: $i,SY583: $i,SY584: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SY579 @ SY580 @ SY581 @ SY582 @ SY583 @ SY584 )
                  | ~ ( perp @ SY581 @ SY582 @ SY583 @ SY584 ) )
            | ( perp @ SV41 @ SV84 @ SY579 @ SY580 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(340,plain,
    ! [SV85: $i,SV42: $i] :
      ( ( ! [SY585: $i,SY586: $i,SY587: $i,SY588: $i,SY589: $i,SY590: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SY585 @ SY586 @ SY587 @ SY588 @ SY589 @ SY590 )
                  | ~ ( para @ SY587 @ SY588 @ SY589 @ SY590 ) )
            | ( para @ SV42 @ SV85 @ SY585 @ SY586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[297]) ).

thf(341,plain,
    ! [SV86: $i,SV43: $i] :
      ( ( ! [SY591: $i,SY592: $i,SY593: $i,SY594: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SY591 @ SY592 @ SY593 @ SY593 @ SY594 )
                        | ~ ( eqangle @ SV43 @ SY591 @ SV86 @ SY591 @ SY592 @ SY594 @ SY593 @ SY594 ) )
                  | ~ ~ ( coll @ SV43 @ SV86 @ SY591 ) )
            | ( simtri @ SV43 @ SV86 @ SY591 @ SY592 @ SY593 @ SY594 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(342,plain,
    ! [SV44: $i,SV1: $i,SV87: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV87 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SV87 @ SV44 )
              | ~ ~ ( coll @ SV87 @ SV1 @ SV44 ) )
        | ( cong @ SV87 @ SV1 @ SV87 @ SV44 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(343,plain,
    ! [SV45: $i,SV88: $i,SV2: $i] :
      ( ( ! [SY595: $i,SY596: $i] :
            ~ ! [SY597: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
                        | ~ ( coll @ SV45 @ SY595 @ SY596 ) )
                  | ~ ( ~ ( coll @ SY597 @ SY595 @ SY596 )
                      | ~ ( perp @ SY597 @ SV2 @ SY595 @ SY596 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(344,plain,
    ! [SV89: $i,SV46: $i,SV3: $i] :
      ( ( ! [SY598: $i] :
            ( ~ ( perp @ SV3 @ SV46 @ SV89 @ SY598 )
            | ( perp @ SV89 @ SY598 @ SV3 @ SV46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(345,plain,
    ! [SV47: $i,SV4: $i,SV90: $i] :
      ( ( ! [SY599: $i] :
            ~ ! [SY600: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
                        | ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SY599 @ SV90 @ SY599 @ SV90 @ SV47 ) )
                  | ~ ( ~ ( coll @ SV47 @ SV4 @ SY600 )
                      | ~ ( coll @ SY600 @ SV90 @ SY599 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(346,plain,
    ! [SV91: $i,SV48: $i,SV5: $i] :
      ( ( ! [SY601: $i] :
            ( ~ ( cyclic @ SV5 @ SV48 @ SV91 @ SY601 )
            | ( eqangle @ SV91 @ SV5 @ SV91 @ SV48 @ SY601 @ SV5 @ SY601 @ SV48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(347,plain,
    ! [SV92: $i,SV49: $i,SV6: $i] :
      ( ( ! [SY602: $i,SY603: $i] :
            ( ~ ~ ( ~ ( circle @ SY602 @ SV6 @ SV49 @ SV92 )
                  | ~ ( perp @ SY602 @ SV6 @ SV6 @ SY603 ) )
            | ( eqangle @ SV6 @ SY603 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(348,plain,
    ! [SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY604: $i,SY605: $i,SY606: $i,SY607: $i,SY608: $i,SY609: $i,SY610: $i,SY611: $i,SY612: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SY604 @ SY605 @ SY606 @ SY607 @ SY608 )
                  | ~ ( eqangle @ SY605 @ SY606 @ SY607 @ SY608 @ SY609 @ SY610 @ SY611 @ SY612 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SY604 @ SY609 @ SY610 @ SY611 @ SY612 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(349,plain,
    ! [SV94: $i,SV51: $i,SV8: $i] :
      ( ( ! [SY613: $i] :
            ~ ! [SY614: $i] :
                ~ ~ ! [SY615: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV8 @ SY613 @ SV51 @ SV94 )
                              | ~ ( perp @ SV51 @ SY613 @ SV8 @ SV94 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY614 @ SV94 @ SV51 )
                                        | ~ ( perp @ SV8 @ SY614 @ SV94 @ SV51 ) )
                                  | ~ ( coll @ SY615 @ SV94 @ SV8 ) )
                            | ~ ( perp @ SV51 @ SY615 @ SV94 @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(350,plain,
    ! [SV95: $i,SV52: $i,SV9: $i] :
      ( ( ! [SY616: $i,SY617: $i,SY618: $i] :
            ( ~ ~ ( ~ ( para @ SV9 @ SV52 @ SV95 @ SY616 )
                  | ~ ( perp @ SV95 @ SY616 @ SY617 @ SY618 ) )
            | ( perp @ SV9 @ SV52 @ SY617 @ SY618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(351,plain,
    ! [SV53: $i,SV10: $i,SV96: $i] :
      ( ( ! [SY619: $i] :
            ~ ! [SY620: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV96 @ SY619 @ SV10 @ SV53 )
                        | ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
                  | ~ ( ~ ( coll @ SV53 @ SV10 @ SY620 )
                      | ~ ( coll @ SY620 @ SV96 @ SY619 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(352,plain,
    ! [SV97: $i,SV54: $i,SV11: $i] :
      ( ( ! [SY621: $i] :
            ~ ! [SY622: $i] :
                ~ ( ~ ( circle @ SY621 @ SV11 @ SV54 @ SV97 )
                  | ( perp @ SY622 @ SV11 @ SV11 @ SY621 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(353,plain,
    ! [SV98: $i,SV55: $i,SV12: $i] :
      ( ( ! [SY623: $i,SY624: $i,SY625: $i,SY626: $i,SY627: $i] :
            ( ~ ( eqangle @ SV12 @ SV55 @ SV98 @ SY623 @ SY624 @ SY625 @ SY626 @ SY627 )
            | ( eqangle @ SV98 @ SY623 @ SV12 @ SV55 @ SY626 @ SY627 @ SY624 @ SY625 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(354,plain,
    ! [SV13: $i,SV56: $i,SV99: $i] :
      ( ( ! [SY628: $i] :
            ~ ! [SY629: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
                        | ~ ( eqangle @ SY628 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) )
                  | ~ ( ~ ( coll @ SY629 @ SV13 @ SV56 )
                      | ~ ( coll @ SY629 @ SV99 @ SY628 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(355,plain,
    ! [SV100: $i,SV57: $i,SV14: $i] :
      ( ( ! [SY630: $i,SY631: $i,SY632: $i] :
            ~ ! [SY633: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SY630 )
                                    | ~ ( coll @ SY631 @ SV14 @ SV100 ) )
                              | ~ ( coll @ SY631 @ SV57 @ SY630 ) )
                        | ~ ( coll @ SY632 @ SV14 @ SV57 ) )
                  | ~ ( ~ ( coll @ SY631 @ SY632 @ SY633 )
                      | ~ ( coll @ SY633 @ SV100 @ SY630 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(356,plain,
    ! [SV101: $i,SV58: $i,SV15: $i] :
      ( ( ! [SY634: $i,SY635: $i,SY636: $i] :
            ( ~ ~ ( ~ ( perp @ SV15 @ SV58 @ SV101 @ SY634 )
                  | ~ ( perp @ SV101 @ SY634 @ SY635 @ SY636 ) )
            | ( para @ SV15 @ SV58 @ SY635 @ SY636 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(357,plain,
    ! [SV102: $i,SV59: $i,SV16: $i] :
      ( ( ~ ( midp @ SV16 @ SV59 @ SV102 )
        | ( coll @ SV16 @ SV59 @ SV102 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(358,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ~ ! [SY637: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
                      | ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) )
                | ~ ( ~ ( coll @ SV17 @ SV103 @ SY637 )
                    | ~ ( cong @ SV103 @ SV17 @ SV103 @ SY637 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(359,plain,
    ! [SV104: $i,SV61: $i,SV18: $i] :
      ( ( ! [SY638: $i,SY639: $i,SY640: $i,SY641: $i,SY642: $i] :
            ( ~ ( eqangle @ SV18 @ SV61 @ SV104 @ SY638 @ SY639 @ SY640 @ SY641 @ SY642 )
            | ( eqangle @ SV61 @ SV18 @ SV104 @ SY638 @ SY639 @ SY640 @ SY641 @ SY642 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(360,plain,
    ! [SV105: $i,SV62: $i,SV19: $i] :
      ( ( ! [SY643: $i,SY644: $i] :
            ( ~ ~ ( ~ ( circle @ SY643 @ SV19 @ SV62 @ SV105 )
                  | ~ ( eqangle @ SV19 @ SY644 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 ) )
            | ( perp @ SY643 @ SV19 @ SV19 @ SY644 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(361,plain,
    ! [SV63: $i,SV20: $i,SV106: $i] :
      ( ( ! [SY645: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SY645 @ SV20 @ SY645 @ SV63 )
                  | ~ ~ ( coll @ SV106 @ SY645 @ SV20 ) )
            | ( cyclic @ SV20 @ SV63 @ SV106 @ SY645 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(362,plain,
    ! [SV64: $i,SV21: $i,SV107: $i] :
      ( ( ! [SY646: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV107 @ SV21 @ SV107 @ SV64 @ SY646 @ SV21 @ SY646 @ SV64 )
                  | ~ ( coll @ SV107 @ SY646 @ SV64 ) )
            | ( cyclic @ SV21 @ SV64 @ SV107 @ SY646 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(363,plain,
    ! [SV108: $i,SV65: $i,SV22: $i] :
      ( ( ! [SY647: $i] :
            ( ~ ( perp @ SV22 @ SV65 @ SV108 @ SY647 )
            | ( perp @ SV22 @ SV65 @ SY647 @ SV108 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(364,plain,
    ! [SV109: $i,SV66: $i,SV23: $i] :
      ( ( ~ ( para @ SV23 @ SV66 @ SV23 @ SV109 )
        | ( coll @ SV23 @ SV66 @ SV109 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(365,plain,
    ! [SV110: $i,SV67: $i,SV24: $i] :
      ( ( ! [SY648: $i,SY649: $i,SY650: $i,SY651: $i,SY652: $i] :
            ( ~ ( eqangle @ SV24 @ SV67 @ SV110 @ SY648 @ SY649 @ SY650 @ SY651 @ SY652 )
            | ( eqangle @ SV24 @ SV67 @ SY649 @ SY650 @ SV110 @ SY648 @ SY651 @ SY652 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(366,plain,
    ! [SV111: $i,SV68: $i,SV25: $i] :
      ( ( ! [SY653: $i,SY654: $i,SY655: $i] :
            ( ~ ( eqangle @ SV25 @ SV68 @ SY654 @ SY655 @ SV111 @ SY653 @ SY654 @ SY655 )
            | ( para @ SV25 @ SV68 @ SV111 @ SY653 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(367,plain,
    ! [SV112: $i,SV69: $i,SV26: $i] :
      ( ( ! [SY656: $i,SY657: $i,SY658: $i] :
            ( ~ ( simtri @ SV26 @ SV69 @ SV112 @ SY656 @ SY657 @ SY658 )
            | ( eqangle @ SV26 @ SV69 @ SV69 @ SV112 @ SY656 @ SY657 @ SY657 @ SY658 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(368,plain,
    ! [SV70: $i,SV113: $i,SV27: $i] :
      ( ( ! [SY659: $i,SY660: $i] :
            ~ ! [SY661: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SY659 @ SV70 @ SY660 )
                        | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
                  | ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SY661 @ SV70 @ SY661 )
                      | ~ ( cyclic @ SY659 @ SV70 @ SV113 @ SY661 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(369,plain,
    ! [SV114: $i,SV71: $i,SV28: $i] :
      ( ( ! [SY662: $i] :
            ( ~ ~ ( ~ ( coll @ SV28 @ SV71 @ SV114 )
                  | ~ ( coll @ SV28 @ SV71 @ SY662 ) )
            | ( coll @ SV114 @ SY662 @ SV28 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(370,plain,
    ! [SV115: $i,SV72: $i,SV29: $i] :
      ( ( ! [SY663: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV29 @ SV72 @ SV115 @ SY663 @ SV115 @ SY663 @ SV29 @ SV72 )
                  | ~ ~ ( perp @ SV29 @ SV72 @ SV115 @ SY663 ) )
            | ( para @ SV29 @ SV72 @ SV115 @ SY663 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(371,plain,
    ! [SV116: $i,SV73: $i,SV30: $i] :
      ( ( ! [SY664: $i,SY665: $i] :
            ~ ! [SY666: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                              | ~ ( perp @ SV116 @ SV30 @ SV116 @ SY664 ) )
                        | ~ ( midp @ SY665 @ SV73 @ SY664 ) )
                  | ( midp @ SY666 @ SV30 @ SV116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(372,plain,
    ! [SV117: $i,SV74: $i,SV31: $i] :
      ( ( ! [SY667: $i,SY668: $i,SY669: $i] :
            ( ~ ( para @ SV31 @ SV74 @ SV117 @ SY667 )
            | ( eqangle @ SV31 @ SV74 @ SY668 @ SY669 @ SV117 @ SY667 @ SY668 @ SY669 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(373,plain,
    ! [SV75: $i,SV32: $i,SV118: $i] :
      ( ( ! [SY670: $i] :
            ~ ! [SY671: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV118 @ SY670 @ SV32 @ SV75 )
                        | ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SY670 @ SV118 @ SY670 @ SV118 @ SV75 ) )
                  | ~ ( ~ ( coll @ SV75 @ SV32 @ SY671 )
                      | ~ ( coll @ SY671 @ SV118 @ SY670 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(374,plain,
    ! [SV119: $i,SV76: $i,SV33: $i] :
      ( ( ! [SY672: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SY672 @ SV119 @ SY672 @ SV33 @ SV76 )
                  | ~ ~ ( para @ SV33 @ SV76 @ SV119 @ SY672 ) )
            | ( perp @ SV33 @ SV76 @ SV119 @ SY672 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(375,plain,
    ! [SV77: $i,SV34: $i,SV120: $i] :
      ( ( ~ ( cong @ SV120 @ SV34 @ SV120 @ SV77 )
        | ( eqangle @ SV120 @ SV34 @ SV34 @ SV77 @ SV34 @ SV77 @ SV120 @ SV77 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(376,plain,
    ! [SV78: $i,SV121: $i,SV35: $i] :
      ( ( ! [SY673: $i] :
            ( ~ ~ ( ~ ( cong @ SV35 @ SV121 @ SV78 @ SV121 )
                  | ~ ( cong @ SV35 @ SY673 @ SV78 @ SY673 ) )
            | ( perp @ SV35 @ SV78 @ SV121 @ SY673 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(377,plain,
    ! [SV122: $i,SV79: $i,SV36: $i] :
      ( ( ~ ( coll @ SV36 @ SV79 @ SV122 )
        | ( coll @ SV36 @ SV122 @ SV79 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(378,plain,
    ! [SV123: $i,SV80: $i,SV37: $i] :
      ( ( ! [SY674: $i,SY675: $i,SY676: $i,SY677: $i] :
            ~ ! [SY678: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY675 @ SV37 @ SV80 )
                                    | ~ ( midp @ SY676 @ SV123 @ SY674 ) )
                              | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
                        | ~ ( coll @ SY674 @ SV37 @ SV80 ) )
                  | ( midp @ SY678 @ SV37 @ SY677 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(379,plain,
    ! [SV124: $i,SV81: $i,SV38: $i] :
      ( ( ~ ( coll @ SV38 @ SV81 @ SV124 )
        | ( coll @ SV81 @ SV38 @ SV124 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(380,plain,
    ! [SV125: $i,SV82: $i,SV39: $i] :
      ( ( ! [SY679: $i,SY680: $i,SY681: $i,SY682: $i,SY683: $i] :
            ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 )
            | ( eqangle @ SY680 @ SY681 @ SY682 @ SY683 @ SV39 @ SV82 @ SV125 @ SY679 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(381,plain,
    ! [SV126: $i,SV83: $i,SV40: $i] :
      ( ( ! [SY684: $i] :
            ( ~ ~ ( ~ ( circle @ SY684 @ SV40 @ SV83 @ SV126 )
                  | ~ ( coll @ SY684 @ SV40 @ SV126 ) )
            | ( perp @ SV40 @ SV83 @ SV83 @ SV126 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(382,plain,
    ! [SV127: $i,SV84: $i,SV41: $i] :
      ( ( ! [SY685: $i,SY686: $i,SY687: $i,SY688: $i,SY689: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SY685 @ SY686 @ SY687 @ SY688 @ SY689 )
                  | ~ ( perp @ SY686 @ SY687 @ SY688 @ SY689 ) )
            | ( perp @ SV41 @ SV84 @ SV127 @ SY685 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(383,plain,
    ! [SV128: $i,SV85: $i,SV42: $i] :
      ( ( ! [SY690: $i,SY691: $i,SY692: $i,SY693: $i,SY694: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SY690 @ SY691 @ SY692 @ SY693 @ SY694 )
                  | ~ ( para @ SY691 @ SY692 @ SY693 @ SY694 ) )
            | ( para @ SV42 @ SV85 @ SV128 @ SY690 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(384,plain,
    ! [SV129: $i,SV86: $i,SV43: $i] :
      ( ( ! [SY695: $i,SY696: $i,SY697: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SY695 @ SY696 @ SY696 @ SY697 )
                        | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SY695 @ SY697 @ SY696 @ SY697 ) )
                  | ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
            | ( simtri @ SV43 @ SV86 @ SV129 @ SY695 @ SY696 @ SY697 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(385,plain,
    ! [SV44: $i,SV1: $i,SV87: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV87 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SV87 @ SV44 )
                | ~ ~ ( coll @ SV87 @ SV1 @ SV44 ) ) )
        = $true )
      | ( ( cong @ SV87 @ SV1 @ SV87 @ SV44 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[342]) ).

thf(386,plain,
    ! [SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ! [SY698: $i] :
            ~ ! [SY699: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
                        | ~ ( coll @ SV45 @ SV130 @ SY698 ) )
                  | ~ ( ~ ( coll @ SY699 @ SV130 @ SY698 )
                      | ~ ( perp @ SY699 @ SV2 @ SV130 @ SY698 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(387,plain,
    ! [SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
      ( ( ~ ( perp @ SV3 @ SV46 @ SV89 @ SV131 )
        | ( perp @ SV89 @ SV131 @ SV3 @ SV46 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(388,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ~ ! [SY700: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
                      | ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) )
                | ~ ( ~ ( coll @ SV47 @ SV4 @ SY700 )
                    | ~ ( coll @ SY700 @ SV90 @ SV132 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(389,plain,
    ! [SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
      ( ( ~ ( cyclic @ SV5 @ SV48 @ SV91 @ SV133 )
        | ( eqangle @ SV91 @ SV5 @ SV91 @ SV48 @ SV133 @ SV5 @ SV133 @ SV48 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(390,plain,
    ! [SV92: $i,SV49: $i,SV6: $i,SV134: $i] :
      ( ( ! [SY701: $i] :
            ( ~ ~ ( ~ ( circle @ SV134 @ SV6 @ SV49 @ SV92 )
                  | ~ ( perp @ SV134 @ SV6 @ SV6 @ SY701 ) )
            | ( eqangle @ SV6 @ SY701 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(391,plain,
    ! [SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY702: $i,SY703: $i,SY704: $i,SY705: $i,SY706: $i,SY707: $i,SY708: $i,SY709: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SY702 @ SY703 @ SY704 @ SY705 )
                  | ~ ( eqangle @ SY702 @ SY703 @ SY704 @ SY705 @ SY706 @ SY707 @ SY708 @ SY709 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SY706 @ SY707 @ SY708 @ SY709 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(392,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ~ ! [SY710: $i] :
              ~ ~ ! [SY711: $i] :
                    ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
                            | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY710 @ SV94 @ SV51 )
                                      | ~ ( perp @ SV8 @ SY710 @ SV94 @ SV51 ) )
                                | ~ ( coll @ SY711 @ SV94 @ SV8 ) )
                          | ~ ( perp @ SV51 @ SY711 @ SV94 @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(393,plain,
    ! [SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
      ( ( ! [SY712: $i,SY713: $i] :
            ( ~ ~ ( ~ ( para @ SV9 @ SV52 @ SV95 @ SV137 )
                  | ~ ( perp @ SV95 @ SV137 @ SY712 @ SY713 ) )
            | ( perp @ SV9 @ SV52 @ SY712 @ SY713 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(394,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ~ ! [SY714: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
                      | ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
                | ~ ( ~ ( coll @ SV53 @ SV10 @ SY714 )
                    | ~ ( coll @ SY714 @ SV96 @ SV138 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(395,plain,
    ! [SV97: $i,SV54: $i,SV11: $i,SV139: $i] :
      ( ( ~ ! [SY715: $i] :
              ~ ( ~ ( circle @ SV139 @ SV11 @ SV54 @ SV97 )
                | ( perp @ SY715 @ SV11 @ SV11 @ SV139 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(396,plain,
    ! [SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
      ( ( ! [SY716: $i,SY717: $i,SY718: $i,SY719: $i] :
            ( ~ ( eqangle @ SV12 @ SV55 @ SV98 @ SV140 @ SY716 @ SY717 @ SY718 @ SY719 )
            | ( eqangle @ SV98 @ SV140 @ SV12 @ SV55 @ SY718 @ SY719 @ SY716 @ SY717 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(397,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ~ ! [SY720: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
                      | ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) )
                | ~ ( ~ ( coll @ SY720 @ SV13 @ SV56 )
                    | ~ ( coll @ SY720 @ SV99 @ SV141 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(398,plain,
    ! [SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ! [SY721: $i,SY722: $i] :
            ~ ! [SY723: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                                    | ~ ( coll @ SY721 @ SV14 @ SV100 ) )
                              | ~ ( coll @ SY721 @ SV57 @ SV142 ) )
                        | ~ ( coll @ SY722 @ SV14 @ SV57 ) )
                  | ~ ( ~ ( coll @ SY721 @ SY722 @ SY723 )
                      | ~ ( coll @ SY723 @ SV100 @ SV142 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(399,plain,
    ! [SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
      ( ( ! [SY724: $i,SY725: $i] :
            ( ~ ~ ( ~ ( perp @ SV15 @ SV58 @ SV101 @ SV143 )
                  | ~ ( perp @ SV101 @ SV143 @ SY724 @ SY725 ) )
            | ( para @ SV15 @ SV58 @ SY724 @ SY725 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(400,plain,
    ! [SV102: $i,SV59: $i,SV16: $i] :
      ( ( ( ~ ( midp @ SV16 @ SV59 @ SV102 ) )
        = $true )
      | ( ( coll @ SV16 @ SV59 @ SV102 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[357]) ).

thf(401,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ! [SY637: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
                    | ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) )
              | ~ ( ~ ( coll @ SV17 @ SV103 @ SY637 )
                  | ~ ( cong @ SV103 @ SV17 @ SV103 @ SY637 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[358]) ).

thf(402,plain,
    ! [SV144: $i,SV104: $i,SV61: $i,SV18: $i] :
      ( ( ! [SY726: $i,SY727: $i,SY728: $i,SY729: $i] :
            ( ~ ( eqangle @ SV18 @ SV61 @ SV104 @ SV144 @ SY726 @ SY727 @ SY728 @ SY729 )
            | ( eqangle @ SV61 @ SV18 @ SV104 @ SV144 @ SY726 @ SY727 @ SY728 @ SY729 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(403,plain,
    ! [SV105: $i,SV62: $i,SV19: $i,SV145: $i] :
      ( ( ! [SY730: $i] :
            ( ~ ~ ( ~ ( circle @ SV145 @ SV19 @ SV62 @ SV105 )
                  | ~ ( eqangle @ SV19 @ SY730 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 ) )
            | ( perp @ SV145 @ SV19 @ SV19 @ SY730 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(404,plain,
    ! [SV146: $i,SV63: $i,SV20: $i,SV106: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SV146 @ SV20 @ SV146 @ SV63 )
              | ~ ~ ( coll @ SV106 @ SV146 @ SV20 ) )
        | ( cyclic @ SV20 @ SV63 @ SV106 @ SV146 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(405,plain,
    ! [SV147: $i,SV64: $i,SV21: $i,SV107: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV107 @ SV21 @ SV107 @ SV64 @ SV147 @ SV21 @ SV147 @ SV64 )
              | ~ ( coll @ SV107 @ SV147 @ SV64 ) )
        | ( cyclic @ SV21 @ SV64 @ SV107 @ SV147 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(406,plain,
    ! [SV148: $i,SV108: $i,SV65: $i,SV22: $i] :
      ( ( ~ ( perp @ SV22 @ SV65 @ SV108 @ SV148 )
        | ( perp @ SV22 @ SV65 @ SV148 @ SV108 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(407,plain,
    ! [SV109: $i,SV66: $i,SV23: $i] :
      ( ( ( ~ ( para @ SV23 @ SV66 @ SV23 @ SV109 ) )
        = $true )
      | ( ( coll @ SV23 @ SV66 @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[364]) ).

thf(408,plain,
    ! [SV149: $i,SV110: $i,SV67: $i,SV24: $i] :
      ( ( ! [SY731: $i,SY732: $i,SY733: $i,SY734: $i] :
            ( ~ ( eqangle @ SV24 @ SV67 @ SV110 @ SV149 @ SY731 @ SY732 @ SY733 @ SY734 )
            | ( eqangle @ SV24 @ SV67 @ SY731 @ SY732 @ SV110 @ SV149 @ SY733 @ SY734 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(409,plain,
    ! [SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
      ( ( ! [SY735: $i,SY736: $i] :
            ( ~ ( eqangle @ SV25 @ SV68 @ SY735 @ SY736 @ SV111 @ SV150 @ SY735 @ SY736 )
            | ( para @ SV25 @ SV68 @ SV111 @ SV150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(410,plain,
    ! [SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
      ( ( ! [SY737: $i,SY738: $i] :
            ( ~ ( simtri @ SV26 @ SV69 @ SV112 @ SV151 @ SY737 @ SY738 )
            | ( eqangle @ SV26 @ SV69 @ SV69 @ SV112 @ SV151 @ SY737 @ SY737 @ SY738 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(411,plain,
    ! [SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ! [SY739: $i] :
            ~ ! [SY740: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SY739 )
                        | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
                  | ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SY740 @ SV70 @ SY740 )
                      | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ SY740 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(412,plain,
    ! [SV153: $i,SV114: $i,SV71: $i,SV28: $i] :
      ( ( ~ ~ ( ~ ( coll @ SV28 @ SV71 @ SV114 )
              | ~ ( coll @ SV28 @ SV71 @ SV153 ) )
        | ( coll @ SV114 @ SV153 @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(413,plain,
    ! [SV154: $i,SV115: $i,SV72: $i,SV29: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV29 @ SV72 @ SV115 @ SV154 @ SV115 @ SV154 @ SV29 @ SV72 )
              | ~ ~ ( perp @ SV29 @ SV72 @ SV115 @ SV154 ) )
        | ( para @ SV29 @ SV72 @ SV115 @ SV154 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(414,plain,
    ! [SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ! [SY741: $i] :
            ~ ! [SY742: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                              | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
                        | ~ ( midp @ SY741 @ SV73 @ SV155 ) )
                  | ( midp @ SY742 @ SV30 @ SV116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(415,plain,
    ! [SV156: $i,SV117: $i,SV74: $i,SV31: $i] :
      ( ( ! [SY743: $i,SY744: $i] :
            ( ~ ( para @ SV31 @ SV74 @ SV117 @ SV156 )
            | ( eqangle @ SV31 @ SV74 @ SY743 @ SY744 @ SV117 @ SV156 @ SY743 @ SY744 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(416,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ~ ! [SY745: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
                      | ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) )
                | ~ ( ~ ( coll @ SV75 @ SV32 @ SY745 )
                    | ~ ( coll @ SY745 @ SV118 @ SV157 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(417,plain,
    ! [SV158: $i,SV119: $i,SV76: $i,SV33: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV158 @ SV119 @ SV158 @ SV33 @ SV76 )
              | ~ ~ ( para @ SV33 @ SV76 @ SV119 @ SV158 ) )
        | ( perp @ SV33 @ SV76 @ SV119 @ SV158 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(418,plain,
    ! [SV77: $i,SV34: $i,SV120: $i] :
      ( ( ( ~ ( cong @ SV120 @ SV34 @ SV120 @ SV77 ) )
        = $true )
      | ( ( eqangle @ SV120 @ SV34 @ SV34 @ SV77 @ SV34 @ SV77 @ SV120 @ SV77 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[375]) ).

thf(419,plain,
    ! [SV159: $i,SV78: $i,SV121: $i,SV35: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV35 @ SV121 @ SV78 @ SV121 )
              | ~ ( cong @ SV35 @ SV159 @ SV78 @ SV159 ) )
        | ( perp @ SV35 @ SV78 @ SV121 @ SV159 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(420,plain,
    ! [SV122: $i,SV79: $i,SV36: $i] :
      ( ( ( ~ ( coll @ SV36 @ SV79 @ SV122 ) )
        = $true )
      | ( ( coll @ SV36 @ SV122 @ SV79 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[377]) ).

thf(421,plain,
    ! [SV160: $i,SV123: $i,SV80: $i,SV37: $i] :
      ( ( ! [SY746: $i,SY747: $i,SY748: $i] :
            ~ ! [SY749: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY746 @ SV37 @ SV80 )
                                    | ~ ( midp @ SY747 @ SV123 @ SV160 ) )
                              | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
                        | ~ ( coll @ SV160 @ SV37 @ SV80 ) )
                  | ( midp @ SY749 @ SV37 @ SY748 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[378]) ).

thf(422,plain,
    ! [SV124: $i,SV81: $i,SV38: $i] :
      ( ( ( ~ ( coll @ SV38 @ SV81 @ SV124 ) )
        = $true )
      | ( ( coll @ SV81 @ SV38 @ SV124 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[379]) ).

thf(423,plain,
    ! [SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
      ( ( ! [SY750: $i,SY751: $i,SY752: $i,SY753: $i] :
            ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SY750 @ SY751 @ SY752 @ SY753 )
            | ( eqangle @ SY750 @ SY751 @ SY752 @ SY753 @ SV39 @ SV82 @ SV125 @ SV161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(424,plain,
    ! [SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
              | ~ ( coll @ SV162 @ SV40 @ SV126 ) )
        | ( perp @ SV40 @ SV83 @ SV83 @ SV126 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[381]) ).

thf(425,plain,
    ! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ! [SY754: $i,SY755: $i,SY756: $i,SY757: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SY754 @ SY755 @ SY756 @ SY757 )
                  | ~ ( perp @ SY754 @ SY755 @ SY756 @ SY757 ) )
            | ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[382]) ).

thf(426,plain,
    ! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ! [SY758: $i,SY759: $i,SY760: $i,SY761: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SY758 @ SY759 @ SY760 @ SY761 )
                  | ~ ( para @ SY758 @ SY759 @ SY760 @ SY761 ) )
            | ( para @ SV42 @ SV85 @ SV128 @ SV164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[383]) ).

thf(427,plain,
    ! [SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ! [SY762: $i,SY763: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SY762 @ SY762 @ SY763 )
                        | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SY763 @ SY762 @ SY763 ) )
                  | ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
            | ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SY762 @ SY763 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[384]) ).

thf(428,plain,
    ! [SV44: $i,SV1: $i,SV87: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV87 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SV87 @ SV44 )
              | ~ ~ ( coll @ SV87 @ SV1 @ SV44 ) ) )
        = $false )
      | ( ( cong @ SV87 @ SV1 @ SV87 @ SV44 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[385]) ).

thf(429,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ~ ! [SY764: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
                      | ~ ( coll @ SV45 @ SV130 @ SV166 ) )
                | ~ ( ~ ( coll @ SY764 @ SV130 @ SV166 )
                    | ~ ( perp @ SY764 @ SV2 @ SV130 @ SV166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[386]) ).

thf(430,plain,
    ! [SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
      ( ( ( ~ ( perp @ SV3 @ SV46 @ SV89 @ SV131 ) )
        = $true )
      | ( ( perp @ SV89 @ SV131 @ SV3 @ SV46 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(431,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ! [SY700: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
                    | ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) )
              | ~ ( ~ ( coll @ SV47 @ SV4 @ SY700 )
                  | ~ ( coll @ SY700 @ SV90 @ SV132 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(432,plain,
    ! [SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
      ( ( ( ~ ( cyclic @ SV5 @ SV48 @ SV91 @ SV133 ) )
        = $true )
      | ( ( eqangle @ SV91 @ SV5 @ SV91 @ SV48 @ SV133 @ SV5 @ SV133 @ SV48 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[389]) ).

thf(433,plain,
    ! [SV167: $i,SV92: $i,SV49: $i,SV6: $i,SV134: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV134 @ SV6 @ SV49 @ SV92 )
              | ~ ( perp @ SV134 @ SV6 @ SV6 @ SV167 ) )
        | ( eqangle @ SV6 @ SV167 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(434,plain,
    ! [SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY765: $i,SY766: $i,SY767: $i,SY768: $i,SY769: $i,SY770: $i,SY771: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SY765 @ SY766 @ SY767 )
                  | ~ ( eqangle @ SV168 @ SY765 @ SY766 @ SY767 @ SY768 @ SY769 @ SY770 @ SY771 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SY768 @ SY769 @ SY770 @ SY771 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[391]) ).

thf(435,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ! [SY710: $i] :
            ~ ~ ! [SY711: $i] :
                  ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
                          | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY710 @ SV94 @ SV51 )
                                    | ~ ( perp @ SV8 @ SY710 @ SV94 @ SV51 ) )
                              | ~ ( coll @ SY711 @ SV94 @ SV8 ) )
                        | ~ ( perp @ SV51 @ SY711 @ SV94 @ SV8 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(436,plain,
    ! [SV169: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
      ( ( ! [SY772: $i] :
            ( ~ ~ ( ~ ( para @ SV9 @ SV52 @ SV95 @ SV137 )
                  | ~ ( perp @ SV95 @ SV137 @ SV169 @ SY772 ) )
            | ( perp @ SV9 @ SV52 @ SV169 @ SY772 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[393]) ).

thf(437,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ! [SY714: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
                    | ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
              | ~ ( ~ ( coll @ SV53 @ SV10 @ SY714 )
                  | ~ ( coll @ SY714 @ SV96 @ SV138 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(438,plain,
    ! [SV97: $i,SV54: $i,SV11: $i,SV139: $i] :
      ( ( ! [SY715: $i] :
            ~ ( ~ ( circle @ SV139 @ SV11 @ SV54 @ SV97 )
              | ( perp @ SY715 @ SV11 @ SV11 @ SV139 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[395]) ).

thf(439,plain,
    ! [SV170: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
      ( ( ! [SY773: $i,SY774: $i,SY775: $i] :
            ( ~ ( eqangle @ SV12 @ SV55 @ SV98 @ SV140 @ SV170 @ SY773 @ SY774 @ SY775 )
            | ( eqangle @ SV98 @ SV140 @ SV12 @ SV55 @ SY774 @ SY775 @ SV170 @ SY773 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(440,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ! [SY720: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
                    | ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) )
              | ~ ( ~ ( coll @ SY720 @ SV13 @ SV56 )
                  | ~ ( coll @ SY720 @ SV99 @ SV141 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[397]) ).

thf(441,plain,
    ! [SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ! [SY776: $i] :
            ~ ! [SY777: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                                    | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                              | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
                        | ~ ( coll @ SY776 @ SV14 @ SV57 ) )
                  | ~ ( ~ ( coll @ SV171 @ SY776 @ SY777 )
                      | ~ ( coll @ SY777 @ SV100 @ SV142 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(442,plain,
    ! [SV172: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
      ( ( ! [SY778: $i] :
            ( ~ ~ ( ~ ( perp @ SV15 @ SV58 @ SV101 @ SV143 )
                  | ~ ( perp @ SV101 @ SV143 @ SV172 @ SY778 ) )
            | ( para @ SV15 @ SV58 @ SV172 @ SY778 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[399]) ).

thf(443,plain,
    ! [SV102: $i,SV59: $i,SV16: $i] :
      ( ( ( midp @ SV16 @ SV59 @ SV102 )
        = $false )
      | ( ( coll @ SV16 @ SV59 @ SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[400]) ).

thf(444,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
                  | ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) )
            | ~ ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
                | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[401]) ).

thf(445,plain,
    ! [SV173: $i,SV144: $i,SV104: $i,SV61: $i,SV18: $i] :
      ( ( ! [SY779: $i,SY780: $i,SY781: $i] :
            ( ~ ( eqangle @ SV18 @ SV61 @ SV104 @ SV144 @ SV173 @ SY779 @ SY780 @ SY781 )
            | ( eqangle @ SV61 @ SV18 @ SV104 @ SV144 @ SV173 @ SY779 @ SY780 @ SY781 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(446,plain,
    ! [SV174: $i,SV105: $i,SV62: $i,SV19: $i,SV145: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV145 @ SV19 @ SV62 @ SV105 )
              | ~ ( eqangle @ SV19 @ SV174 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 ) )
        | ( perp @ SV145 @ SV19 @ SV19 @ SV174 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(447,plain,
    ! [SV146: $i,SV63: $i,SV20: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SV146 @ SV20 @ SV146 @ SV63 )
                | ~ ~ ( coll @ SV106 @ SV146 @ SV20 ) ) )
        = $true )
      | ( ( cyclic @ SV20 @ SV63 @ SV106 @ SV146 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[404]) ).

thf(448,plain,
    ! [SV147: $i,SV64: $i,SV21: $i,SV107: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV107 @ SV21 @ SV107 @ SV64 @ SV147 @ SV21 @ SV147 @ SV64 )
                | ~ ( coll @ SV107 @ SV147 @ SV64 ) ) )
        = $true )
      | ( ( cyclic @ SV21 @ SV64 @ SV107 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[405]) ).

thf(449,plain,
    ! [SV148: $i,SV108: $i,SV65: $i,SV22: $i] :
      ( ( ( ~ ( perp @ SV22 @ SV65 @ SV108 @ SV148 ) )
        = $true )
      | ( ( perp @ SV22 @ SV65 @ SV148 @ SV108 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[406]) ).

thf(450,plain,
    ! [SV109: $i,SV66: $i,SV23: $i] :
      ( ( ( para @ SV23 @ SV66 @ SV23 @ SV109 )
        = $false )
      | ( ( coll @ SV23 @ SV66 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(451,plain,
    ! [SV175: $i,SV149: $i,SV110: $i,SV67: $i,SV24: $i] :
      ( ( ! [SY782: $i,SY783: $i,SY784: $i] :
            ( ~ ( eqangle @ SV24 @ SV67 @ SV110 @ SV149 @ SV175 @ SY782 @ SY783 @ SY784 )
            | ( eqangle @ SV24 @ SV67 @ SV175 @ SY782 @ SV110 @ SV149 @ SY783 @ SY784 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(452,plain,
    ! [SV150: $i,SV111: $i,SV176: $i,SV68: $i,SV25: $i] :
      ( ( ! [SY785: $i] :
            ( ~ ( eqangle @ SV25 @ SV68 @ SV176 @ SY785 @ SV111 @ SV150 @ SV176 @ SY785 )
            | ( para @ SV25 @ SV68 @ SV111 @ SV150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[409]) ).

thf(453,plain,
    ! [SV177: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
      ( ( ! [SY786: $i] :
            ( ~ ( simtri @ SV26 @ SV69 @ SV112 @ SV151 @ SV177 @ SY786 )
            | ( eqangle @ SV26 @ SV69 @ SV69 @ SV112 @ SV151 @ SV177 @ SV177 @ SY786 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(454,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ~ ! [SY787: $i] :
              ~ ( ~ ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
                      | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
                | ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SY787 @ SV70 @ SY787 )
                    | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ SY787 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[411]) ).

thf(455,plain,
    ! [SV153: $i,SV114: $i,SV71: $i,SV28: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ SV28 @ SV71 @ SV114 )
                | ~ ( coll @ SV28 @ SV71 @ SV153 ) ) )
        = $true )
      | ( ( coll @ SV114 @ SV153 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[412]) ).

thf(456,plain,
    ! [SV154: $i,SV115: $i,SV72: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV29 @ SV72 @ SV115 @ SV154 @ SV115 @ SV154 @ SV29 @ SV72 )
                | ~ ~ ( perp @ SV29 @ SV72 @ SV115 @ SV154 ) ) )
        = $true )
      | ( ( para @ SV29 @ SV72 @ SV115 @ SV154 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[413]) ).

thf(457,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ~ ! [SY788: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                            | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
                      | ~ ( midp @ SV179 @ SV73 @ SV155 ) )
                | ( midp @ SY788 @ SV30 @ SV116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(458,plain,
    ! [SV180: $i,SV156: $i,SV117: $i,SV74: $i,SV31: $i] :
      ( ( ! [SY789: $i] :
            ( ~ ( para @ SV31 @ SV74 @ SV117 @ SV156 )
            | ( eqangle @ SV31 @ SV74 @ SV180 @ SY789 @ SV117 @ SV156 @ SV180 @ SY789 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[415]) ).

thf(459,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ! [SY745: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
                    | ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) )
              | ~ ( ~ ( coll @ SV75 @ SV32 @ SY745 )
                  | ~ ( coll @ SY745 @ SV118 @ SV157 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(460,plain,
    ! [SV158: $i,SV119: $i,SV76: $i,SV33: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV158 @ SV119 @ SV158 @ SV33 @ SV76 )
                | ~ ~ ( para @ SV33 @ SV76 @ SV119 @ SV158 ) ) )
        = $true )
      | ( ( perp @ SV33 @ SV76 @ SV119 @ SV158 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(461,plain,
    ! [SV77: $i,SV34: $i,SV120: $i] :
      ( ( ( cong @ SV120 @ SV34 @ SV120 @ SV77 )
        = $false )
      | ( ( eqangle @ SV120 @ SV34 @ SV34 @ SV77 @ SV34 @ SV77 @ SV120 @ SV77 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[418]) ).

thf(462,plain,
    ! [SV159: $i,SV78: $i,SV121: $i,SV35: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV35 @ SV121 @ SV78 @ SV121 )
                | ~ ( cong @ SV35 @ SV159 @ SV78 @ SV159 ) ) )
        = $true )
      | ( ( perp @ SV35 @ SV78 @ SV121 @ SV159 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(463,plain,
    ! [SV122: $i,SV79: $i,SV36: $i] :
      ( ( ( coll @ SV36 @ SV79 @ SV122 )
        = $false )
      | ( ( coll @ SV36 @ SV122 @ SV79 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(464,plain,
    ! [SV160: $i,SV123: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ! [SY790: $i,SY791: $i] :
            ~ ! [SY792: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                                    | ~ ( midp @ SY790 @ SV123 @ SV160 ) )
                              | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
                        | ~ ( coll @ SV160 @ SV37 @ SV80 ) )
                  | ( midp @ SY792 @ SV37 @ SY791 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(465,plain,
    ! [SV124: $i,SV81: $i,SV38: $i] :
      ( ( ( coll @ SV38 @ SV81 @ SV124 )
        = $false )
      | ( ( coll @ SV81 @ SV38 @ SV124 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[422]) ).

thf(466,plain,
    ! [SV182: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
      ( ( ! [SY793: $i,SY794: $i,SY795: $i] :
            ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV182 @ SY793 @ SY794 @ SY795 )
            | ( eqangle @ SV182 @ SY793 @ SY794 @ SY795 @ SV39 @ SV82 @ SV125 @ SV161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[423]) ).

thf(467,plain,
    ! [SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
                | ~ ( coll @ SV162 @ SV40 @ SV126 ) ) )
        = $true )
      | ( ( perp @ SV40 @ SV83 @ SV83 @ SV126 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[424]) ).

thf(468,plain,
    ! [SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ! [SY796: $i,SY797: $i,SY798: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SY796 @ SY797 @ SY798 )
                  | ~ ( perp @ SV183 @ SY796 @ SY797 @ SY798 ) )
            | ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(469,plain,
    ! [SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ! [SY799: $i,SY800: $i,SY801: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SY799 @ SY800 @ SY801 )
                  | ~ ( para @ SV184 @ SY799 @ SY800 @ SY801 ) )
            | ( para @ SV42 @ SV85 @ SV128 @ SV164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(470,plain,
    ! [SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ! [SY802: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SY802 )
                        | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SY802 @ SV185 @ SY802 ) )
                  | ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
            | ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SY802 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(471,plain,
    ! [SV44: $i,SV1: $i,SV87: $i] :
      ( ( ( ~ ( eqangle @ SV87 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SV87 @ SV44 )
          | ~ ~ ( coll @ SV87 @ SV1 @ SV44 ) )
        = $true )
      | ( ( cong @ SV87 @ SV1 @ SV87 @ SV44 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[428]) ).

thf(472,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ! [SY764: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
                    | ~ ( coll @ SV45 @ SV130 @ SV166 ) )
              | ~ ( ~ ( coll @ SY764 @ SV130 @ SV166 )
                  | ~ ( perp @ SY764 @ SV2 @ SV130 @ SV166 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(473,plain,
    ! [SV131: $i,SV89: $i,SV46: $i,SV3: $i] :
      ( ( ( perp @ SV3 @ SV46 @ SV89 @ SV131 )
        = $false )
      | ( ( perp @ SV89 @ SV131 @ SV3 @ SV46 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[430]) ).

thf(474,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
                  | ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) )
            | ~ ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
                | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[431]) ).

thf(475,plain,
    ! [SV133: $i,SV91: $i,SV48: $i,SV5: $i] :
      ( ( ( cyclic @ SV5 @ SV48 @ SV91 @ SV133 )
        = $false )
      | ( ( eqangle @ SV91 @ SV5 @ SV91 @ SV48 @ SV133 @ SV5 @ SV133 @ SV48 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(476,plain,
    ! [SV167: $i,SV92: $i,SV49: $i,SV6: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV134 @ SV6 @ SV49 @ SV92 )
                | ~ ( perp @ SV134 @ SV6 @ SV6 @ SV167 ) ) )
        = $true )
      | ( ( eqangle @ SV6 @ SV167 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[433]) ).

thf(477,plain,
    ! [SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY803: $i,SY804: $i,SY805: $i,SY806: $i,SY807: $i,SY808: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SY803 @ SY804 )
                  | ~ ( eqangle @ SV168 @ SV186 @ SY803 @ SY804 @ SY805 @ SY806 @ SY807 @ SY808 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SY805 @ SY806 @ SY807 @ SY808 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(478,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ~ ~ ! [SY809: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
                        | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                                  | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                            | ~ ( coll @ SY809 @ SV94 @ SV8 ) )
                      | ~ ( perp @ SV51 @ SY809 @ SV94 @ SV8 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[435]) ).

thf(479,plain,
    ! [SV187: $i,SV169: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
      ( ( ~ ~ ( ~ ( para @ SV9 @ SV52 @ SV95 @ SV137 )
              | ~ ( perp @ SV95 @ SV137 @ SV169 @ SV187 ) )
        | ( perp @ SV9 @ SV52 @ SV169 @ SV187 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(480,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
                  | ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
            | ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
                | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[437]) ).

thf(481,plain,
    ! [SV97: $i,SV54: $i,SV11: $i,SV139: $i] :
      ( ( ~ ( ~ ( circle @ SV139 @ SV11 @ SV54 @ SV97 )
            | ( perp @ ( sK12_SY715 @ SV97 @ SV54 @ SV11 @ SV139 ) @ SV11 @ SV11 @ SV139 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[438]) ).

thf(482,plain,
    ! [SV188: $i,SV170: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
      ( ( ! [SY810: $i,SY811: $i] :
            ( ~ ( eqangle @ SV12 @ SV55 @ SV98 @ SV140 @ SV170 @ SV188 @ SY810 @ SY811 )
            | ( eqangle @ SV98 @ SV140 @ SV12 @ SV55 @ SY810 @ SY811 @ SV170 @ SV188 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[439]) ).

thf(483,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
                  | ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) )
            | ~ ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
                | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[440]) ).

thf(484,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ~ ! [SY812: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                                  | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                            | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
                      | ~ ( coll @ SV189 @ SV14 @ SV57 ) )
                | ~ ( ~ ( coll @ SV171 @ SV189 @ SY812 )
                    | ~ ( coll @ SY812 @ SV100 @ SV142 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(485,plain,
    ! [SV190: $i,SV172: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV15 @ SV58 @ SV101 @ SV143 )
              | ~ ( perp @ SV101 @ SV143 @ SV172 @ SV190 ) )
        | ( para @ SV15 @ SV58 @ SV172 @ SV190 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[442]) ).

thf(486,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
              | ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) )
        | ~ ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
            | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[444]) ).

thf(487,plain,
    ! [SV191: $i,SV173: $i,SV144: $i,SV104: $i,SV61: $i,SV18: $i] :
      ( ( ! [SY813: $i,SY814: $i] :
            ( ~ ( eqangle @ SV18 @ SV61 @ SV104 @ SV144 @ SV173 @ SV191 @ SY813 @ SY814 )
            | ( eqangle @ SV61 @ SV18 @ SV104 @ SV144 @ SV173 @ SV191 @ SY813 @ SY814 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(488,plain,
    ! [SV174: $i,SV105: $i,SV62: $i,SV19: $i,SV145: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV145 @ SV19 @ SV62 @ SV105 )
                | ~ ( eqangle @ SV19 @ SV174 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 ) ) )
        = $true )
      | ( ( perp @ SV145 @ SV19 @ SV19 @ SV174 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[446]) ).

thf(489,plain,
    ! [SV146: $i,SV63: $i,SV20: $i,SV106: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SV146 @ SV20 @ SV146 @ SV63 )
              | ~ ~ ( coll @ SV106 @ SV146 @ SV20 ) ) )
        = $false )
      | ( ( cyclic @ SV20 @ SV63 @ SV106 @ SV146 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(490,plain,
    ! [SV147: $i,SV64: $i,SV21: $i,SV107: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV107 @ SV21 @ SV107 @ SV64 @ SV147 @ SV21 @ SV147 @ SV64 )
              | ~ ( coll @ SV107 @ SV147 @ SV64 ) ) )
        = $false )
      | ( ( cyclic @ SV21 @ SV64 @ SV107 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(491,plain,
    ! [SV148: $i,SV108: $i,SV65: $i,SV22: $i] :
      ( ( ( perp @ SV22 @ SV65 @ SV108 @ SV148 )
        = $false )
      | ( ( perp @ SV22 @ SV65 @ SV148 @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[449]) ).

thf(492,plain,
    ! [SV192: $i,SV175: $i,SV149: $i,SV110: $i,SV67: $i,SV24: $i] :
      ( ( ! [SY815: $i,SY816: $i] :
            ( ~ ( eqangle @ SV24 @ SV67 @ SV110 @ SV149 @ SV175 @ SV192 @ SY815 @ SY816 )
            | ( eqangle @ SV24 @ SV67 @ SV175 @ SV192 @ SV110 @ SV149 @ SY815 @ SY816 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(493,plain,
    ! [SV150: $i,SV111: $i,SV193: $i,SV176: $i,SV68: $i,SV25: $i] :
      ( ( ~ ( eqangle @ SV25 @ SV68 @ SV176 @ SV193 @ SV111 @ SV150 @ SV176 @ SV193 )
        | ( para @ SV25 @ SV68 @ SV111 @ SV150 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(494,plain,
    ! [SV194: $i,SV177: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
      ( ( ~ ( simtri @ SV26 @ SV69 @ SV112 @ SV151 @ SV177 @ SV194 )
        | ( eqangle @ SV26 @ SV69 @ SV69 @ SV112 @ SV151 @ SV177 @ SV177 @ SV194 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(495,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ! [SY787: $i] :
            ~ ( ~ ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
                    | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
              | ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SY787 @ SV70 @ SY787 )
                  | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ SY787 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(496,plain,
    ! [SV153: $i,SV114: $i,SV71: $i,SV28: $i] :
      ( ( ( ~ ( ~ ( coll @ SV28 @ SV71 @ SV114 )
              | ~ ( coll @ SV28 @ SV71 @ SV153 ) ) )
        = $false )
      | ( ( coll @ SV114 @ SV153 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(497,plain,
    ! [SV154: $i,SV115: $i,SV72: $i,SV29: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV29 @ SV72 @ SV115 @ SV154 @ SV115 @ SV154 @ SV29 @ SV72 )
              | ~ ~ ( perp @ SV29 @ SV72 @ SV115 @ SV154 ) ) )
        = $false )
      | ( ( para @ SV29 @ SV72 @ SV115 @ SV154 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(498,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ! [SY788: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                          | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
                    | ~ ( midp @ SV179 @ SV73 @ SV155 ) )
              | ( midp @ SY788 @ SV30 @ SV116 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(499,plain,
    ! [SV195: $i,SV180: $i,SV156: $i,SV117: $i,SV74: $i,SV31: $i] :
      ( ( ~ ( para @ SV31 @ SV74 @ SV117 @ SV156 )
        | ( eqangle @ SV31 @ SV74 @ SV180 @ SV195 @ SV117 @ SV156 @ SV180 @ SV195 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(500,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
                  | ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) )
            | ~ ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
                | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[459]) ).

thf(501,plain,
    ! [SV158: $i,SV119: $i,SV76: $i,SV33: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV158 @ SV119 @ SV158 @ SV33 @ SV76 )
              | ~ ~ ( para @ SV33 @ SV76 @ SV119 @ SV158 ) ) )
        = $false )
      | ( ( perp @ SV33 @ SV76 @ SV119 @ SV158 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(502,plain,
    ! [SV159: $i,SV78: $i,SV121: $i,SV35: $i] :
      ( ( ( ~ ( ~ ( cong @ SV35 @ SV121 @ SV78 @ SV121 )
              | ~ ( cong @ SV35 @ SV159 @ SV78 @ SV159 ) ) )
        = $false )
      | ( ( perp @ SV35 @ SV78 @ SV121 @ SV159 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(503,plain,
    ! [SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ! [SY817: $i] :
            ~ ! [SY818: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                                    | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                              | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
                        | ~ ( coll @ SV160 @ SV37 @ SV80 ) )
                  | ( midp @ SY818 @ SV37 @ SY817 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[464]) ).

thf(504,plain,
    ! [SV197: $i,SV182: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
      ( ( ! [SY819: $i,SY820: $i] :
            ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV182 @ SV197 @ SY819 @ SY820 )
            | ( eqangle @ SV182 @ SV197 @ SY819 @ SY820 @ SV39 @ SV82 @ SV125 @ SV161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[466]) ).

thf(505,plain,
    ! [SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
      ( ( ( ~ ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
              | ~ ( coll @ SV162 @ SV40 @ SV126 ) ) )
        = $false )
      | ( ( perp @ SV40 @ SV83 @ SV83 @ SV126 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(506,plain,
    ! [SV198: $i,SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ! [SY821: $i,SY822: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SY821 @ SY822 )
                  | ~ ( perp @ SV183 @ SV198 @ SY821 @ SY822 ) )
            | ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(507,plain,
    ! [SV199: $i,SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ! [SY823: $i,SY824: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SY823 @ SY824 )
                  | ~ ( para @ SV184 @ SV199 @ SY823 @ SY824 ) )
            | ( para @ SV42 @ SV85 @ SV128 @ SV164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(508,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
                    | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) )
              | ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        | ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(509,plain,
    ! [SV44: $i,SV1: $i,SV87: $i] :
      ( ( ( ~ ( eqangle @ SV87 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SV87 @ SV44 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV87 @ SV1 @ SV44 ) )
        = $true )
      | ( ( cong @ SV87 @ SV1 @ SV87 @ SV44 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[471]) ).

thf(510,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
                  | ~ ( coll @ SV45 @ SV130 @ SV166 ) )
            | ~ ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
                | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[472]) ).

thf(511,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
              | ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) )
        | ~ ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
            | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[474]) ).

thf(512,plain,
    ! [SV167: $i,SV92: $i,SV49: $i,SV6: $i,SV134: $i] :
      ( ( ( ~ ( ~ ( circle @ SV134 @ SV6 @ SV49 @ SV92 )
              | ~ ( perp @ SV134 @ SV6 @ SV6 @ SV167 ) ) )
        = $false )
      | ( ( eqangle @ SV6 @ SV167 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[476]) ).

thf(513,plain,
    ! [SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY825: $i,SY826: $i,SY827: $i,SY828: $i,SY829: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SY825 )
                  | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SY825 @ SY826 @ SY827 @ SY828 @ SY829 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SY826 @ SY827 @ SY828 @ SY829 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(514,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ~ ! [SY809: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
                      | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                                | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                          | ~ ( coll @ SY809 @ SV94 @ SV8 ) )
                    | ~ ( perp @ SV51 @ SY809 @ SV94 @ SV8 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[478]) ).

thf(515,plain,
    ! [SV187: $i,SV169: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV9 @ SV52 @ SV95 @ SV137 )
                | ~ ( perp @ SV95 @ SV137 @ SV169 @ SV187 ) ) )
        = $true )
      | ( ( perp @ SV9 @ SV52 @ SV169 @ SV187 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[479]) ).

thf(516,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
              | ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
        | ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
            | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[480]) ).

thf(517,plain,
    ! [SV97: $i,SV54: $i,SV11: $i,SV139: $i] :
      ( ( ~ ( circle @ SV139 @ SV11 @ SV54 @ SV97 )
        | ( perp @ ( sK12_SY715 @ SV97 @ SV54 @ SV11 @ SV139 ) @ SV11 @ SV11 @ SV139 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[481]) ).

thf(518,plain,
    ! [SV202: $i,SV188: $i,SV170: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
      ( ( ! [SY830: $i] :
            ( ~ ( eqangle @ SV12 @ SV55 @ SV98 @ SV140 @ SV170 @ SV188 @ SV202 @ SY830 )
            | ( eqangle @ SV98 @ SV140 @ SV12 @ SV55 @ SV202 @ SY830 @ SV170 @ SV188 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[482]) ).

thf(519,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
              | ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) )
        | ~ ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
            | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[483]) ).

thf(520,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ! [SY812: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                                | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                          | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
                    | ~ ( coll @ SV189 @ SV14 @ SV57 ) )
              | ~ ( ~ ( coll @ SV171 @ SV189 @ SY812 )
                  | ~ ( coll @ SY812 @ SV100 @ SV142 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(521,plain,
    ! [SV190: $i,SV172: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV15 @ SV58 @ SV101 @ SV143 )
                | ~ ( perp @ SV101 @ SV143 @ SV172 @ SV190 ) ) )
        = $true )
      | ( ( para @ SV15 @ SV58 @ SV172 @ SV190 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[485]) ).

thf(522,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
                | ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
              | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(523,plain,
    ! [SV203: $i,SV191: $i,SV173: $i,SV144: $i,SV104: $i,SV61: $i,SV18: $i] :
      ( ( ! [SY831: $i] :
            ( ~ ( eqangle @ SV18 @ SV61 @ SV104 @ SV144 @ SV173 @ SV191 @ SV203 @ SY831 )
            | ( eqangle @ SV61 @ SV18 @ SV104 @ SV144 @ SV173 @ SV191 @ SV203 @ SY831 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(524,plain,
    ! [SV174: $i,SV105: $i,SV62: $i,SV19: $i,SV145: $i] :
      ( ( ( ~ ( ~ ( circle @ SV145 @ SV19 @ SV62 @ SV105 )
              | ~ ( eqangle @ SV19 @ SV174 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 ) ) )
        = $false )
      | ( ( perp @ SV145 @ SV19 @ SV19 @ SV174 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(525,plain,
    ! [SV146: $i,SV63: $i,SV20: $i,SV106: $i] :
      ( ( ( ~ ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SV146 @ SV20 @ SV146 @ SV63 )
          | ~ ~ ( coll @ SV106 @ SV146 @ SV20 ) )
        = $true )
      | ( ( cyclic @ SV20 @ SV63 @ SV106 @ SV146 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[489]) ).

thf(526,plain,
    ! [SV147: $i,SV64: $i,SV21: $i,SV107: $i] :
      ( ( ( ~ ( eqangle @ SV107 @ SV21 @ SV107 @ SV64 @ SV147 @ SV21 @ SV147 @ SV64 )
          | ~ ( coll @ SV107 @ SV147 @ SV64 ) )
        = $true )
      | ( ( cyclic @ SV21 @ SV64 @ SV107 @ SV147 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[490]) ).

thf(527,plain,
    ! [SV204: $i,SV192: $i,SV175: $i,SV149: $i,SV110: $i,SV67: $i,SV24: $i] :
      ( ( ! [SY832: $i] :
            ( ~ ( eqangle @ SV24 @ SV67 @ SV110 @ SV149 @ SV175 @ SV192 @ SV204 @ SY832 )
            | ( eqangle @ SV24 @ SV67 @ SV175 @ SV192 @ SV110 @ SV149 @ SV204 @ SY832 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(528,plain,
    ! [SV150: $i,SV111: $i,SV193: $i,SV176: $i,SV68: $i,SV25: $i] :
      ( ( ( ~ ( eqangle @ SV25 @ SV68 @ SV176 @ SV193 @ SV111 @ SV150 @ SV176 @ SV193 ) )
        = $true )
      | ( ( para @ SV25 @ SV68 @ SV111 @ SV150 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[493]) ).

thf(529,plain,
    ! [SV194: $i,SV177: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
      ( ( ( ~ ( simtri @ SV26 @ SV69 @ SV112 @ SV151 @ SV177 @ SV194 ) )
        = $true )
      | ( ( eqangle @ SV26 @ SV69 @ SV69 @ SV112 @ SV151 @ SV177 @ SV177 @ SV194 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[494]) ).

thf(530,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
                  | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
            | ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
                | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[495]) ).

thf(531,plain,
    ! [SV153: $i,SV114: $i,SV71: $i,SV28: $i] :
      ( ( ( ~ ( coll @ SV28 @ SV71 @ SV114 )
          | ~ ( coll @ SV28 @ SV71 @ SV153 ) )
        = $true )
      | ( ( coll @ SV114 @ SV153 @ SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[496]) ).

thf(532,plain,
    ! [SV154: $i,SV115: $i,SV72: $i,SV29: $i] :
      ( ( ( ~ ( eqangle @ SV29 @ SV72 @ SV115 @ SV154 @ SV115 @ SV154 @ SV29 @ SV72 )
          | ~ ~ ( perp @ SV29 @ SV72 @ SV115 @ SV154 ) )
        = $true )
      | ( ( para @ SV29 @ SV72 @ SV115 @ SV154 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[497]) ).

thf(533,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                        | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
                  | ~ ( midp @ SV179 @ SV73 @ SV155 ) )
            | ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[498]) ).

thf(534,plain,
    ! [SV195: $i,SV180: $i,SV156: $i,SV117: $i,SV74: $i,SV31: $i] :
      ( ( ( ~ ( para @ SV31 @ SV74 @ SV117 @ SV156 ) )
        = $true )
      | ( ( eqangle @ SV31 @ SV74 @ SV180 @ SV195 @ SV117 @ SV156 @ SV180 @ SV195 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[499]) ).

thf(535,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
              | ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) )
        | ~ ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
            | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[500]) ).

thf(536,plain,
    ! [SV158: $i,SV119: $i,SV76: $i,SV33: $i] :
      ( ( ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV158 @ SV119 @ SV158 @ SV33 @ SV76 )
          | ~ ~ ( para @ SV33 @ SV76 @ SV119 @ SV158 ) )
        = $true )
      | ( ( perp @ SV33 @ SV76 @ SV119 @ SV158 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[501]) ).

thf(537,plain,
    ! [SV159: $i,SV78: $i,SV121: $i,SV35: $i] :
      ( ( ( ~ ( cong @ SV35 @ SV121 @ SV78 @ SV121 )
          | ~ ( cong @ SV35 @ SV159 @ SV78 @ SV159 ) )
        = $true )
      | ( ( perp @ SV35 @ SV78 @ SV121 @ SV159 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[502]) ).

thf(538,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ~ ! [SY833: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                                  | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                            | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
                      | ~ ( coll @ SV160 @ SV37 @ SV80 ) )
                | ( midp @ SY833 @ SV37 @ SV205 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[503]) ).

thf(539,plain,
    ! [SV206: $i,SV197: $i,SV182: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
      ( ( ! [SY834: $i] :
            ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV182 @ SV197 @ SV206 @ SY834 )
            | ( eqangle @ SV182 @ SV197 @ SV206 @ SY834 @ SV39 @ SV82 @ SV125 @ SV161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(540,plain,
    ! [SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
      ( ( ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
          | ~ ( coll @ SV162 @ SV40 @ SV126 ) )
        = $true )
      | ( ( perp @ SV40 @ SV83 @ SV83 @ SV126 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[505]) ).

thf(541,plain,
    ! [SV207: $i,SV198: $i,SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ! [SY835: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SV207 @ SY835 )
                  | ~ ( perp @ SV183 @ SV198 @ SV207 @ SY835 ) )
            | ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(542,plain,
    ! [SV208: $i,SV199: $i,SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ! [SY836: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SV208 @ SY836 )
                  | ~ ( para @ SV184 @ SV199 @ SV208 @ SY836 ) )
            | ( para @ SV42 @ SV85 @ SV128 @ SV164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(543,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
                      | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) )
                | ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) ) )
        = $true )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[508]) ).

thf(544,plain,
    ! [SV44: $i,SV1: $i,SV87: $i] :
      ( ( ( eqangle @ SV87 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SV87 @ SV44 )
        = $false )
      | ( ( ~ ~ ( coll @ SV87 @ SV1 @ SV44 ) )
        = $true )
      | ( ( cong @ SV87 @ SV1 @ SV87 @ SV44 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(545,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
              | ~ ( coll @ SV45 @ SV130 @ SV166 ) )
        | ~ ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
            | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[510]) ).

thf(546,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
                | ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
              | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[511]) ).

thf(547,plain,
    ! [SV167: $i,SV92: $i,SV49: $i,SV6: $i,SV134: $i] :
      ( ( ( ~ ( circle @ SV134 @ SV6 @ SV49 @ SV92 )
          | ~ ( perp @ SV134 @ SV6 @ SV6 @ SV167 ) )
        = $true )
      | ( ( eqangle @ SV6 @ SV167 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[512]) ).

thf(548,plain,
    ! [SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY837: $i,SY838: $i,SY839: $i,SY840: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
                  | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SY837 @ SY838 @ SY839 @ SY840 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SY837 @ SY838 @ SY839 @ SY840 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(549,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ! [SY809: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
                    | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                              | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                        | ~ ( coll @ SY809 @ SV94 @ SV8 ) )
                  | ~ ( perp @ SV51 @ SY809 @ SV94 @ SV8 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[514]) ).

thf(550,plain,
    ! [SV187: $i,SV169: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( para @ SV9 @ SV52 @ SV95 @ SV137 )
              | ~ ( perp @ SV95 @ SV137 @ SV169 @ SV187 ) ) )
        = $false )
      | ( ( perp @ SV9 @ SV52 @ SV169 @ SV187 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(551,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
                | ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
              | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[516]) ).

thf(552,plain,
    ! [SV97: $i,SV54: $i,SV11: $i,SV139: $i] :
      ( ( ( ~ ( circle @ SV139 @ SV11 @ SV54 @ SV97 ) )
        = $true )
      | ( ( perp @ ( sK12_SY715 @ SV97 @ SV54 @ SV11 @ SV139 ) @ SV11 @ SV11 @ SV139 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[517]) ).

thf(553,plain,
    ! [SV210: $i,SV202: $i,SV188: $i,SV170: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
      ( ( ~ ( eqangle @ SV12 @ SV55 @ SV98 @ SV140 @ SV170 @ SV188 @ SV202 @ SV210 )
        | ( eqangle @ SV98 @ SV140 @ SV12 @ SV55 @ SV202 @ SV210 @ SV170 @ SV188 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[518]) ).

thf(554,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
                | ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
              | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[519]) ).

thf(555,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                              | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                        | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
                  | ~ ( coll @ SV189 @ SV14 @ SV57 ) )
            | ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
                | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[520]) ).

thf(556,plain,
    ! [SV190: $i,SV172: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
      ( ( ( ~ ( ~ ( perp @ SV15 @ SV58 @ SV101 @ SV143 )
              | ~ ( perp @ SV101 @ SV143 @ SV172 @ SV190 ) ) )
        = $false )
      | ( ( para @ SV15 @ SV58 @ SV172 @ SV190 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(557,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ( ~ ( ~ ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
              | ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
              | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[522]) ).

thf(558,plain,
    ! [SV211: $i,SV203: $i,SV191: $i,SV173: $i,SV144: $i,SV104: $i,SV61: $i,SV18: $i] :
      ( ( ~ ( eqangle @ SV18 @ SV61 @ SV104 @ SV144 @ SV173 @ SV191 @ SV203 @ SV211 )
        | ( eqangle @ SV61 @ SV18 @ SV104 @ SV144 @ SV173 @ SV191 @ SV203 @ SV211 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[523]) ).

thf(559,plain,
    ! [SV174: $i,SV105: $i,SV62: $i,SV19: $i,SV145: $i] :
      ( ( ( ~ ( circle @ SV145 @ SV19 @ SV62 @ SV105 )
          | ~ ( eqangle @ SV19 @ SV174 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 ) )
        = $true )
      | ( ( perp @ SV145 @ SV19 @ SV19 @ SV174 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[524]) ).

thf(560,plain,
    ! [SV146: $i,SV63: $i,SV20: $i,SV106: $i] :
      ( ( ( ~ ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SV146 @ SV20 @ SV146 @ SV63 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV106 @ SV146 @ SV20 ) )
        = $true )
      | ( ( cyclic @ SV20 @ SV63 @ SV106 @ SV146 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[525]) ).

thf(561,plain,
    ! [SV147: $i,SV64: $i,SV21: $i,SV107: $i] :
      ( ( ( ~ ( eqangle @ SV107 @ SV21 @ SV107 @ SV64 @ SV147 @ SV21 @ SV147 @ SV64 ) )
        = $true )
      | ( ( ~ ( coll @ SV107 @ SV147 @ SV64 ) )
        = $true )
      | ( ( cyclic @ SV21 @ SV64 @ SV107 @ SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[526]) ).

thf(562,plain,
    ! [SV212: $i,SV204: $i,SV192: $i,SV175: $i,SV149: $i,SV110: $i,SV67: $i,SV24: $i] :
      ( ( ~ ( eqangle @ SV24 @ SV67 @ SV110 @ SV149 @ SV175 @ SV192 @ SV204 @ SV212 )
        | ( eqangle @ SV24 @ SV67 @ SV175 @ SV192 @ SV110 @ SV149 @ SV204 @ SV212 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(563,plain,
    ! [SV150: $i,SV111: $i,SV193: $i,SV176: $i,SV68: $i,SV25: $i] :
      ( ( ( eqangle @ SV25 @ SV68 @ SV176 @ SV193 @ SV111 @ SV150 @ SV176 @ SV193 )
        = $false )
      | ( ( para @ SV25 @ SV68 @ SV111 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[528]) ).

thf(564,plain,
    ! [SV194: $i,SV177: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
      ( ( ( simtri @ SV26 @ SV69 @ SV112 @ SV151 @ SV177 @ SV194 )
        = $false )
      | ( ( eqangle @ SV26 @ SV69 @ SV69 @ SV112 @ SV151 @ SV177 @ SV177 @ SV194 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(565,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
              | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
        | ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
            | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[530]) ).

thf(566,plain,
    ! [SV153: $i,SV114: $i,SV71: $i,SV28: $i] :
      ( ( ( ~ ( coll @ SV28 @ SV71 @ SV114 ) )
        = $true )
      | ( ( ~ ( coll @ SV28 @ SV71 @ SV153 ) )
        = $true )
      | ( ( coll @ SV114 @ SV153 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(567,plain,
    ! [SV154: $i,SV115: $i,SV72: $i,SV29: $i] :
      ( ( ( ~ ( eqangle @ SV29 @ SV72 @ SV115 @ SV154 @ SV115 @ SV154 @ SV29 @ SV72 ) )
        = $true )
      | ( ( ~ ~ ( perp @ SV29 @ SV72 @ SV115 @ SV154 ) )
        = $true )
      | ( ( para @ SV29 @ SV72 @ SV115 @ SV154 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[532]) ).

thf(568,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                    | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
              | ~ ( midp @ SV179 @ SV73 @ SV155 ) )
        | ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[533]) ).

thf(569,plain,
    ! [SV195: $i,SV180: $i,SV156: $i,SV117: $i,SV74: $i,SV31: $i] :
      ( ( ( para @ SV31 @ SV74 @ SV117 @ SV156 )
        = $false )
      | ( ( eqangle @ SV31 @ SV74 @ SV180 @ SV195 @ SV117 @ SV156 @ SV180 @ SV195 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[534]) ).

thf(570,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
                | ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
              | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[535]) ).

thf(571,plain,
    ! [SV158: $i,SV119: $i,SV76: $i,SV33: $i] :
      ( ( ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV158 @ SV119 @ SV158 @ SV33 @ SV76 ) )
        = $true )
      | ( ( ~ ~ ( para @ SV33 @ SV76 @ SV119 @ SV158 ) )
        = $true )
      | ( ( perp @ SV33 @ SV76 @ SV119 @ SV158 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[536]) ).

thf(572,plain,
    ! [SV159: $i,SV78: $i,SV121: $i,SV35: $i] :
      ( ( ( ~ ( cong @ SV35 @ SV121 @ SV78 @ SV121 ) )
        = $true )
      | ( ( ~ ( cong @ SV35 @ SV159 @ SV78 @ SV159 ) )
        = $true )
      | ( ( perp @ SV35 @ SV78 @ SV121 @ SV159 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[537]) ).

thf(573,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ! [SY833: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                                | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                          | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
                    | ~ ( coll @ SV160 @ SV37 @ SV80 ) )
              | ( midp @ SY833 @ SV37 @ SV205 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(574,plain,
    ! [SV213: $i,SV206: $i,SV197: $i,SV182: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
      ( ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV182 @ SV197 @ SV206 @ SV213 )
        | ( eqangle @ SV182 @ SV197 @ SV206 @ SV213 @ SV39 @ SV82 @ SV125 @ SV161 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(575,plain,
    ! [SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
      ( ( ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 ) )
        = $true )
      | ( ( ~ ( coll @ SV162 @ SV40 @ SV126 ) )
        = $true )
      | ( ( perp @ SV40 @ SV83 @ SV83 @ SV126 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[540]) ).

thf(576,plain,
    ! [SV214: $i,SV207: $i,SV198: $i,SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SV207 @ SV214 )
              | ~ ( perp @ SV183 @ SV198 @ SV207 @ SV214 ) )
        | ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[541]) ).

thf(577,plain,
    ! [SV215: $i,SV208: $i,SV199: $i,SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SV208 @ SV215 )
              | ~ ( para @ SV184 @ SV199 @ SV208 @ SV215 ) )
        | ( para @ SV42 @ SV85 @ SV128 @ SV164 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[542]) ).

thf(578,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
                    | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) )
              | ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) ) )
        = $false )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[543]) ).

thf(579,plain,
    ! [SV44: $i,SV1: $i,SV87: $i] :
      ( ( ( ~ ( coll @ SV87 @ SV1 @ SV44 ) )
        = $false )
      | ( ( eqangle @ SV87 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SV87 @ SV44 )
        = $false )
      | ( ( cong @ SV87 @ SV1 @ SV87 @ SV44 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[544]) ).

thf(580,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
                | ~ ( coll @ SV45 @ SV130 @ SV166 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
              | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[545]) ).

thf(581,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ( ~ ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
              | ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
              | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[546]) ).

thf(582,plain,
    ! [SV167: $i,SV92: $i,SV49: $i,SV6: $i,SV134: $i] :
      ( ( ( ~ ( circle @ SV134 @ SV6 @ SV49 @ SV92 ) )
        = $true )
      | ( ( ~ ( perp @ SV134 @ SV6 @ SV6 @ SV167 ) )
        = $true )
      | ( ( eqangle @ SV6 @ SV167 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(583,plain,
    ! [SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY841: $i,SY842: $i,SY843: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
                  | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SY841 @ SY842 @ SY843 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SY841 @ SY842 @ SY843 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(584,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
                  | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                            | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                      | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
                | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[549]) ).

thf(585,plain,
    ! [SV187: $i,SV169: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
      ( ( ( ~ ( para @ SV9 @ SV52 @ SV95 @ SV137 )
          | ~ ( perp @ SV95 @ SV137 @ SV169 @ SV187 ) )
        = $true )
      | ( ( perp @ SV9 @ SV52 @ SV169 @ SV187 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[550]) ).

thf(586,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ( ~ ( ~ ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
              | ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
              | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[551]) ).

thf(587,plain,
    ! [SV97: $i,SV54: $i,SV11: $i,SV139: $i] :
      ( ( ( circle @ SV139 @ SV11 @ SV54 @ SV97 )
        = $false )
      | ( ( perp @ ( sK12_SY715 @ SV97 @ SV54 @ SV11 @ SV139 ) @ SV11 @ SV11 @ SV139 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(588,plain,
    ! [SV210: $i,SV202: $i,SV188: $i,SV170: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
      ( ( ( ~ ( eqangle @ SV12 @ SV55 @ SV98 @ SV140 @ SV170 @ SV188 @ SV202 @ SV210 ) )
        = $true )
      | ( ( eqangle @ SV98 @ SV140 @ SV12 @ SV55 @ SV202 @ SV210 @ SV170 @ SV188 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[553]) ).

thf(589,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ( ~ ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
              | ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
              | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(590,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                          | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                    | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
              | ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        | ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
            | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[555]) ).

thf(591,plain,
    ! [SV190: $i,SV172: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
      ( ( ( ~ ( perp @ SV15 @ SV58 @ SV101 @ SV143 )
          | ~ ( perp @ SV101 @ SV143 @ SV172 @ SV190 ) )
        = $true )
      | ( ( para @ SV15 @ SV58 @ SV172 @ SV190 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[556]) ).

thf(592,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ( ~ ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
          | ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
              | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[557]) ).

thf(593,plain,
    ! [SV211: $i,SV203: $i,SV191: $i,SV173: $i,SV144: $i,SV104: $i,SV61: $i,SV18: $i] :
      ( ( ( ~ ( eqangle @ SV18 @ SV61 @ SV104 @ SV144 @ SV173 @ SV191 @ SV203 @ SV211 ) )
        = $true )
      | ( ( eqangle @ SV61 @ SV18 @ SV104 @ SV144 @ SV173 @ SV191 @ SV203 @ SV211 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[558]) ).

thf(594,plain,
    ! [SV174: $i,SV105: $i,SV62: $i,SV19: $i,SV145: $i] :
      ( ( ( ~ ( circle @ SV145 @ SV19 @ SV62 @ SV105 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV19 @ SV174 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 ) )
        = $true )
      | ( ( perp @ SV145 @ SV19 @ SV19 @ SV174 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[559]) ).

thf(595,plain,
    ! [SV146: $i,SV63: $i,SV20: $i,SV106: $i] :
      ( ( ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SV146 @ SV20 @ SV146 @ SV63 )
        = $false )
      | ( ( ~ ~ ( coll @ SV106 @ SV146 @ SV20 ) )
        = $true )
      | ( ( cyclic @ SV20 @ SV63 @ SV106 @ SV146 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[560]) ).

thf(596,plain,
    ! [SV147: $i,SV64: $i,SV21: $i,SV107: $i] :
      ( ( ( eqangle @ SV107 @ SV21 @ SV107 @ SV64 @ SV147 @ SV21 @ SV147 @ SV64 )
        = $false )
      | ( ( ~ ( coll @ SV107 @ SV147 @ SV64 ) )
        = $true )
      | ( ( cyclic @ SV21 @ SV64 @ SV107 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(597,plain,
    ! [SV212: $i,SV204: $i,SV192: $i,SV175: $i,SV149: $i,SV110: $i,SV67: $i,SV24: $i] :
      ( ( ( ~ ( eqangle @ SV24 @ SV67 @ SV110 @ SV149 @ SV175 @ SV192 @ SV204 @ SV212 ) )
        = $true )
      | ( ( eqangle @ SV24 @ SV67 @ SV175 @ SV192 @ SV110 @ SV149 @ SV204 @ SV212 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[562]) ).

thf(598,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
                | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
              | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[565]) ).

thf(599,plain,
    ! [SV153: $i,SV114: $i,SV71: $i,SV28: $i] :
      ( ( ( coll @ SV28 @ SV71 @ SV114 )
        = $false )
      | ( ( ~ ( coll @ SV28 @ SV71 @ SV153 ) )
        = $true )
      | ( ( coll @ SV114 @ SV153 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[566]) ).

thf(600,plain,
    ! [SV154: $i,SV115: $i,SV72: $i,SV29: $i] :
      ( ( ( eqangle @ SV29 @ SV72 @ SV115 @ SV154 @ SV115 @ SV154 @ SV29 @ SV72 )
        = $false )
      | ( ( ~ ~ ( perp @ SV29 @ SV72 @ SV115 @ SV154 ) )
        = $true )
      | ( ( para @ SV29 @ SV72 @ SV115 @ SV154 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[567]) ).

thf(601,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                      | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
                | ~ ( midp @ SV179 @ SV73 @ SV155 ) ) )
        = $true )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[568]) ).

thf(602,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ( ~ ( ~ ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
              | ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
              | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(603,plain,
    ! [SV158: $i,SV119: $i,SV76: $i,SV33: $i] :
      ( ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV158 @ SV119 @ SV158 @ SV33 @ SV76 )
        = $false )
      | ( ( ~ ~ ( para @ SV33 @ SV76 @ SV119 @ SV158 ) )
        = $true )
      | ( ( perp @ SV33 @ SV76 @ SV119 @ SV158 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[571]) ).

thf(604,plain,
    ! [SV159: $i,SV78: $i,SV121: $i,SV35: $i] :
      ( ( ( cong @ SV35 @ SV121 @ SV78 @ SV121 )
        = $false )
      | ( ( ~ ( cong @ SV35 @ SV159 @ SV78 @ SV159 ) )
        = $true )
      | ( ( perp @ SV35 @ SV78 @ SV121 @ SV159 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[572]) ).

thf(605,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                              | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                        | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
                  | ~ ( coll @ SV160 @ SV37 @ SV80 ) )
            | ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[573]) ).

thf(606,plain,
    ! [SV213: $i,SV206: $i,SV197: $i,SV182: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
      ( ( ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV182 @ SV197 @ SV206 @ SV213 ) )
        = $true )
      | ( ( eqangle @ SV182 @ SV197 @ SV206 @ SV213 @ SV39 @ SV82 @ SV125 @ SV161 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[574]) ).

thf(607,plain,
    ! [SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
      ( ( ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
        = $false )
      | ( ( ~ ( coll @ SV162 @ SV40 @ SV126 ) )
        = $true )
      | ( ( perp @ SV40 @ SV83 @ SV83 @ SV126 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[575]) ).

thf(608,plain,
    ! [SV214: $i,SV207: $i,SV198: $i,SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SV207 @ SV214 )
                | ~ ( perp @ SV183 @ SV198 @ SV207 @ SV214 ) ) )
        = $true )
      | ( ( perp @ SV41 @ SV84 @ SV127 @ SV163 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[576]) ).

thf(609,plain,
    ! [SV215: $i,SV208: $i,SV199: $i,SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SV208 @ SV215 )
                | ~ ( para @ SV184 @ SV199 @ SV208 @ SV215 ) ) )
        = $true )
      | ( ( para @ SV42 @ SV85 @ SV128 @ SV164 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[577]) ).

thf(610,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
                | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) )
          | ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        = $true )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[578]) ).

thf(611,plain,
    ! [SV44: $i,SV1: $i,SV87: $i] :
      ( ( ( coll @ SV87 @ SV1 @ SV44 )
        = $true )
      | ( ( eqangle @ SV87 @ SV1 @ SV1 @ SV44 @ SV1 @ SV44 @ SV87 @ SV44 )
        = $false )
      | ( ( cong @ SV87 @ SV1 @ SV87 @ SV44 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[579]) ).

thf(612,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
              | ~ ( coll @ SV45 @ SV130 @ SV166 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
              | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(613,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
          | ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
              | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[581]) ).

thf(614,plain,
    ! [SV167: $i,SV92: $i,SV49: $i,SV6: $i,SV134: $i] :
      ( ( ( circle @ SV134 @ SV6 @ SV49 @ SV92 )
        = $false )
      | ( ( ~ ( perp @ SV134 @ SV6 @ SV6 @ SV167 ) )
        = $true )
      | ( ( eqangle @ SV6 @ SV167 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(615,plain,
    ! [SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY844: $i,SY845: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
                  | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SY844 @ SY845 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SY844 @ SY845 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[583]) ).

thf(616,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
              | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                        | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                  | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
            | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[584]) ).

thf(617,plain,
    ! [SV187: $i,SV169: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
      ( ( ( ~ ( para @ SV9 @ SV52 @ SV95 @ SV137 ) )
        = $true )
      | ( ( ~ ( perp @ SV95 @ SV137 @ SV169 @ SV187 ) )
        = $true )
      | ( ( perp @ SV9 @ SV52 @ SV169 @ SV187 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[585]) ).

thf(618,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ( ~ ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
          | ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
              | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[586]) ).

thf(619,plain,
    ! [SV210: $i,SV202: $i,SV188: $i,SV170: $i,SV140: $i,SV98: $i,SV55: $i,SV12: $i] :
      ( ( ( eqangle @ SV12 @ SV55 @ SV98 @ SV140 @ SV170 @ SV188 @ SV202 @ SV210 )
        = $false )
      | ( ( eqangle @ SV98 @ SV140 @ SV12 @ SV55 @ SV202 @ SV210 @ SV170 @ SV188 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[588]) ).

thf(620,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
          | ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
              | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[589]) ).

thf(621,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                            | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                      | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
                | ~ ( coll @ SV189 @ SV14 @ SV57 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[590]) ).

thf(622,plain,
    ! [SV190: $i,SV172: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
      ( ( ( ~ ( perp @ SV15 @ SV58 @ SV101 @ SV143 ) )
        = $true )
      | ( ( ~ ( perp @ SV101 @ SV143 @ SV172 @ SV190 ) )
        = $true )
      | ( ( para @ SV15 @ SV58 @ SV172 @ SV190 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[591]) ).

thf(623,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ( ~ ( cong @ SV103 @ SV17 @ SV103 @ SV60 ) )
        = $true )
      | ( ( ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
              | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[592]) ).

thf(624,plain,
    ! [SV211: $i,SV203: $i,SV191: $i,SV173: $i,SV144: $i,SV104: $i,SV61: $i,SV18: $i] :
      ( ( ( eqangle @ SV18 @ SV61 @ SV104 @ SV144 @ SV173 @ SV191 @ SV203 @ SV211 )
        = $false )
      | ( ( eqangle @ SV61 @ SV18 @ SV104 @ SV144 @ SV173 @ SV191 @ SV203 @ SV211 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[593]) ).

thf(625,plain,
    ! [SV174: $i,SV105: $i,SV62: $i,SV19: $i,SV145: $i] :
      ( ( ( circle @ SV145 @ SV19 @ SV62 @ SV105 )
        = $false )
      | ( ( ~ ( eqangle @ SV19 @ SV174 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 ) )
        = $true )
      | ( ( perp @ SV145 @ SV19 @ SV19 @ SV174 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(626,plain,
    ! [SV63: $i,SV20: $i,SV146: $i,SV106: $i] :
      ( ( ( ~ ( coll @ SV106 @ SV146 @ SV20 ) )
        = $false )
      | ( ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SV146 @ SV20 @ SV146 @ SV63 )
        = $false )
      | ( ( cyclic @ SV20 @ SV63 @ SV106 @ SV146 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[595]) ).

thf(627,plain,
    ! [SV21: $i,SV64: $i,SV147: $i,SV107: $i] :
      ( ( ( coll @ SV107 @ SV147 @ SV64 )
        = $false )
      | ( ( eqangle @ SV107 @ SV21 @ SV107 @ SV64 @ SV147 @ SV21 @ SV147 @ SV64 )
        = $false )
      | ( ( cyclic @ SV21 @ SV64 @ SV107 @ SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(628,plain,
    ! [SV212: $i,SV204: $i,SV192: $i,SV175: $i,SV149: $i,SV110: $i,SV67: $i,SV24: $i] :
      ( ( ( eqangle @ SV24 @ SV67 @ SV110 @ SV149 @ SV175 @ SV192 @ SV204 @ SV212 )
        = $false )
      | ( ( eqangle @ SV24 @ SV67 @ SV175 @ SV192 @ SV110 @ SV149 @ SV204 @ SV212 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(629,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
              | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) ) )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
              | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(630,plain,
    ! [SV114: $i,SV153: $i,SV71: $i,SV28: $i] :
      ( ( ( coll @ SV28 @ SV71 @ SV153 )
        = $false )
      | ( ( coll @ SV28 @ SV71 @ SV114 )
        = $false )
      | ( ( coll @ SV114 @ SV153 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(631,plain,
    ! [SV154: $i,SV115: $i,SV72: $i,SV29: $i] :
      ( ( ( ~ ( perp @ SV29 @ SV72 @ SV115 @ SV154 ) )
        = $false )
      | ( ( eqangle @ SV29 @ SV72 @ SV115 @ SV154 @ SV115 @ SV154 @ SV29 @ SV72 )
        = $false )
      | ( ( para @ SV29 @ SV72 @ SV115 @ SV154 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(632,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                    | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
              | ~ ( midp @ SV179 @ SV73 @ SV155 ) ) )
        = $false )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[601]) ).

thf(633,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ( ~ ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
          | ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
              | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[602]) ).

thf(634,plain,
    ! [SV158: $i,SV119: $i,SV76: $i,SV33: $i] :
      ( ( ( ~ ( para @ SV33 @ SV76 @ SV119 @ SV158 ) )
        = $false )
      | ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV158 @ SV119 @ SV158 @ SV33 @ SV76 )
        = $false )
      | ( ( perp @ SV33 @ SV76 @ SV119 @ SV158 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(635,plain,
    ! [SV121: $i,SV78: $i,SV159: $i,SV35: $i] :
      ( ( ( cong @ SV35 @ SV159 @ SV78 @ SV159 )
        = $false )
      | ( ( cong @ SV35 @ SV121 @ SV78 @ SV121 )
        = $false )
      | ( ( perp @ SV35 @ SV78 @ SV121 @ SV159 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(636,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                          | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                    | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
              | ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        | ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[605]) ).

thf(637,plain,
    ! [SV213: $i,SV206: $i,SV197: $i,SV182: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
      ( ( ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV182 @ SV197 @ SV206 @ SV213 )
        = $false )
      | ( ( eqangle @ SV182 @ SV197 @ SV206 @ SV213 @ SV39 @ SV82 @ SV125 @ SV161 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[606]) ).

thf(638,plain,
    ! [SV83: $i,SV126: $i,SV40: $i,SV162: $i] :
      ( ( ( coll @ SV162 @ SV40 @ SV126 )
        = $false )
      | ( ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
        = $false )
      | ( ( perp @ SV40 @ SV83 @ SV83 @ SV126 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[607]) ).

thf(639,plain,
    ! [SV214: $i,SV207: $i,SV198: $i,SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SV207 @ SV214 )
              | ~ ( perp @ SV183 @ SV198 @ SV207 @ SV214 ) ) )
        = $false )
      | ( ( perp @ SV41 @ SV84 @ SV127 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[608]) ).

thf(640,plain,
    ! [SV215: $i,SV208: $i,SV199: $i,SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SV208 @ SV215 )
              | ~ ( para @ SV184 @ SV199 @ SV208 @ SV215 ) ) )
        = $false )
      | ( ( para @ SV42 @ SV85 @ SV128 @ SV164 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(641,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
                | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        = $true )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[610]) ).

thf(642,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
          | ~ ( coll @ SV45 @ SV130 @ SV166 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
              | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[612]) ).

thf(643,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ( ~ ( cong @ SV90 @ SV4 @ SV90 @ SV47 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
              | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[613]) ).

thf(644,plain,
    ! [SV92: $i,SV49: $i,SV167: $i,SV6: $i,SV134: $i] :
      ( ( ( perp @ SV134 @ SV6 @ SV6 @ SV167 )
        = $false )
      | ( ( circle @ SV134 @ SV6 @ SV49 @ SV92 )
        = $false )
      | ( ( eqangle @ SV6 @ SV167 @ SV6 @ SV49 @ SV92 @ SV6 @ SV92 @ SV49 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(645,plain,
    ! [SV218: $i,SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ! [SY846: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
                  | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SV218 @ SY846 ) )
            | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SV218 @ SY846 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[615]) ).

thf(646,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
                | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                          | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                    | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
              | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[616]) ).

thf(647,plain,
    ! [SV187: $i,SV169: $i,SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
      ( ( ( para @ SV9 @ SV52 @ SV95 @ SV137 )
        = $false )
      | ( ( ~ ( perp @ SV95 @ SV137 @ SV169 @ SV187 ) )
        = $true )
      | ( ( perp @ SV9 @ SV52 @ SV169 @ SV187 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[617]) ).

thf(648,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ( ~ ( perp @ SV96 @ SV138 @ SV10 @ SV53 ) )
        = $true )
      | ( ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
              | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[618]) ).

thf(649,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ( ~ ( perp @ SV99 @ SV56 @ SV56 @ SV13 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
              | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[620]) ).

thf(650,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                          | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                    | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
              | ~ ( coll @ SV189 @ SV14 @ SV57 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[621]) ).

thf(651,plain,
    ! [SV190: $i,SV172: $i,SV143: $i,SV101: $i,SV58: $i,SV15: $i] :
      ( ( ( perp @ SV15 @ SV58 @ SV101 @ SV143 )
        = $false )
      | ( ( ~ ( perp @ SV101 @ SV143 @ SV172 @ SV190 ) )
        = $true )
      | ( ( para @ SV15 @ SV58 @ SV172 @ SV190 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(652,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
        = $false )
      | ( ( ~ ( perp @ SV17 @ SV103 @ SV103 @ SV60 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
              | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(653,plain,
    ! [SV145: $i,SV105: $i,SV62: $i,SV174: $i,SV19: $i] :
      ( ( ( eqangle @ SV19 @ SV174 @ SV19 @ SV62 @ SV105 @ SV19 @ SV105 @ SV62 )
        = $false )
      | ( ( circle @ SV145 @ SV19 @ SV62 @ SV105 )
        = $false )
      | ( ( perp @ SV145 @ SV19 @ SV19 @ SV174 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[625]) ).

thf(654,plain,
    ! [SV63: $i,SV20: $i,SV146: $i,SV106: $i] :
      ( ( ( coll @ SV106 @ SV146 @ SV20 )
        = $true )
      | ( ( eqangle @ SV106 @ SV20 @ SV106 @ SV63 @ SV146 @ SV20 @ SV146 @ SV63 )
        = $false )
      | ( ( cyclic @ SV20 @ SV63 @ SV106 @ SV146 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[626]) ).

thf(655,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
          | ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
              | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[629]) ).

thf(656,plain,
    ! [SV154: $i,SV115: $i,SV72: $i,SV29: $i] :
      ( ( ( perp @ SV29 @ SV72 @ SV115 @ SV154 )
        = $true )
      | ( ( eqangle @ SV29 @ SV72 @ SV115 @ SV154 @ SV115 @ SV154 @ SV29 @ SV72 )
        = $false )
      | ( ( para @ SV29 @ SV72 @ SV115 @ SV154 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[631]) ).

thf(657,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
          | ~ ( midp @ SV179 @ SV73 @ SV155 ) )
        = $true )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[632]) ).

thf(658,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ( ~ ( perp @ SV118 @ SV157 @ SV32 @ SV75 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
              | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[633]) ).

thf(659,plain,
    ! [SV158: $i,SV119: $i,SV76: $i,SV33: $i] :
      ( ( ( para @ SV33 @ SV76 @ SV119 @ SV158 )
        = $true )
      | ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV158 @ SV119 @ SV158 @ SV33 @ SV76 )
        = $false )
      | ( ( perp @ SV33 @ SV76 @ SV119 @ SV158 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[634]) ).

thf(660,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                            | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                      | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
                | ~ ( coll @ SV160 @ SV37 @ SV80 ) ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[636]) ).

thf(661,plain,
    ! [SV214: $i,SV207: $i,SV198: $i,SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SV207 @ SV214 )
          | ~ ( perp @ SV183 @ SV198 @ SV207 @ SV214 ) )
        = $true )
      | ( ( perp @ SV41 @ SV84 @ SV127 @ SV163 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[639]) ).

thf(662,plain,
    ! [SV215: $i,SV208: $i,SV199: $i,SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SV208 @ SV215 )
          | ~ ( para @ SV184 @ SV199 @ SV208 @ SV215 ) )
        = $true )
      | ( ( para @ SV42 @ SV85 @ SV128 @ SV164 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[640]) ).

thf(663,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
              | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) ) )
        = $false )
      | ( ( ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        = $true )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(664,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ( ~ ( perp @ SV2 @ SV88 @ SV88 @ SV45 ) )
        = $true )
      | ( ( ~ ( coll @ SV45 @ SV130 @ SV166 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
              | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[642]) ).

thf(665,plain,
    ! [SV132: $i,SV47: $i,SV4: $i,SV90: $i] :
      ( ( ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
        = $false )
      | ( ( ~ ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
              | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(666,plain,
    ! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
              | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SV218 @ SV219 ) )
        | ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SV218 @ SV219 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[645]) ).

thf(667,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
              | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                          | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                    | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
              | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(668,plain,
    ! [SV52: $i,SV9: $i,SV187: $i,SV169: $i,SV137: $i,SV95: $i] :
      ( ( ( perp @ SV95 @ SV137 @ SV169 @ SV187 )
        = $false )
      | ( ( para @ SV9 @ SV52 @ SV95 @ SV137 )
        = $false )
      | ( ( perp @ SV9 @ SV52 @ SV169 @ SV187 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(669,plain,
    ! [SV53: $i,SV10: $i,SV138: $i,SV96: $i] :
      ( ( ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
        = $false )
      | ( ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
              | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(670,plain,
    ! [SV141: $i,SV13: $i,SV56: $i,SV99: $i] :
      ( ( ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
        = $false )
      | ( ( ~ ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
              | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[649]) ).

thf(671,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                      | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
          | ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[650]) ).

thf(672,plain,
    ! [SV58: $i,SV15: $i,SV190: $i,SV172: $i,SV143: $i,SV101: $i] :
      ( ( ( perp @ SV101 @ SV143 @ SV172 @ SV190 )
        = $false )
      | ( ( perp @ SV15 @ SV58 @ SV101 @ SV143 )
        = $false )
      | ( ( para @ SV15 @ SV58 @ SV172 @ SV190 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(673,plain,
    ! [SV60: $i,SV103: $i,SV17: $i] :
      ( ( ( perp @ SV17 @ SV103 @ SV103 @ SV60 )
        = $false )
      | ( ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
              | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(674,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
              | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[655]) ).

thf(675,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
                | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) ) )
        = $true )
      | ( ( ~ ( midp @ SV179 @ SV73 @ SV155 ) )
        = $true )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[657]) ).

thf(676,plain,
    ! [SV75: $i,SV32: $i,SV157: $i,SV118: $i] :
      ( ( ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
        = $false )
      | ( ( ~ ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
              | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(677,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                          | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                    | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
              | ~ ( coll @ SV160 @ SV37 @ SV80 ) ) )
        = $false )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[660]) ).

thf(678,plain,
    ! [SV214: $i,SV207: $i,SV198: $i,SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SV207 @ SV214 ) )
        = $true )
      | ( ( ~ ( perp @ SV183 @ SV198 @ SV207 @ SV214 ) )
        = $true )
      | ( ( perp @ SV41 @ SV84 @ SV127 @ SV163 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[661]) ).

thf(679,plain,
    ! [SV215: $i,SV208: $i,SV199: $i,SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SV208 @ SV215 ) )
        = $true )
      | ( ( ~ ( para @ SV184 @ SV199 @ SV208 @ SV215 ) )
        = $true )
      | ( ( para @ SV42 @ SV85 @ SV128 @ SV164 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[662]) ).

thf(680,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
          | ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        = $true )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[663]) ).

thf(681,plain,
    ! [SV166: $i,SV130: $i,SV45: $i,SV88: $i,SV2: $i] :
      ( ( ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
        = $false )
      | ( ( ~ ( coll @ SV45 @ SV130 @ SV166 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
              | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[664]) ).

thf(682,plain,
    ! [SV47: $i,SV132: $i,SV90: $i,SV4: $i] :
      ( ( ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 )
        = $false )
      | ( ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
              | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(683,plain,
    ! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
                | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SV218 @ SV219 ) ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SV218 @ SV219 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[666]) ).

thf(684,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
          | ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                          | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                    | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
              | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[667]) ).

thf(685,plain,
    ! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
      ( ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
        = $false )
      | ( ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
              | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[669]) ).

thf(686,plain,
    ! [SV13: $i,SV56: $i,SV99: $i,SV141: $i] :
      ( ( ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 )
        = $false )
      | ( ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
              | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(687,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                      | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
                | ~ ( coll @ SV171 @ SV57 @ SV142 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[671]) ).

thf(688,plain,
    ! [SV60: $i,SV103: $i,SV17: $i] :
      ( ( ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
          | ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) )
        = $false )
      | ( ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
        = $false )
      | ( ( perp @ SV17 @ SV103 @ SV103 @ SV60 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(689,plain,
    ! [SV178: $i,SV152: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
        = $false )
      | ( ( ~ ~ ( coll @ SV27 @ SV70 @ SV113 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
              | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[674]) ).

thf(690,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ( ~ ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
              | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) ) )
        = $false )
      | ( ( ~ ( midp @ SV179 @ SV73 @ SV155 ) )
        = $true )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[675]) ).

thf(691,plain,
    ! [SV75: $i,SV157: $i,SV118: $i,SV32: $i] :
      ( ( ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 )
        = $false )
      | ( ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
              | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[676]) ).

thf(692,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                      | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
          | ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[677]) ).

thf(693,plain,
    ! [SV214: $i,SV207: $i,SV198: $i,SV183: $i,SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
      ( ( ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SV207 @ SV214 )
        = $false )
      | ( ( ~ ( perp @ SV183 @ SV198 @ SV207 @ SV214 ) )
        = $true )
      | ( ( perp @ SV41 @ SV84 @ SV127 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(694,plain,
    ! [SV215: $i,SV208: $i,SV199: $i,SV184: $i,SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
      ( ( ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SV208 @ SV215 )
        = $false )
      | ( ( ~ ( para @ SV184 @ SV199 @ SV208 @ SV215 ) )
        = $true )
      | ( ( para @ SV42 @ SV85 @ SV128 @ SV164 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(695,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( ~ ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        = $true )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[680]) ).

thf(696,plain,
    ! [SV88: $i,SV2: $i,SV166: $i,SV130: $i,SV45: $i] :
      ( ( ( coll @ SV45 @ SV130 @ SV166 )
        = $false )
      | ( ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
              | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[681]) ).

thf(697,plain,
    ! [SV90: $i,SV132: $i,SV4: $i,SV47: $i] :
      ( ( ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
          | ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) )
        = $false )
      | ( ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
        = $false )
      | ( ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[682]) ).

thf(698,plain,
    ! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
              | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SV218 @ SV219 ) ) )
        = $false )
      | ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SV218 @ SV219 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[683]) ).

thf(699,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ( ~ ( perp @ SV8 @ SV136 @ SV51 @ SV94 ) )
        = $true )
      | ( ( ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                          | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                    | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
              | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(700,plain,
    ! [SV96: $i,SV138: $i,SV10: $i,SV53: $i] :
      ( ( ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
          | ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) )
        = $false )
      | ( ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
        = $false )
      | ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[685]) ).

thf(701,plain,
    ! [SV99: $i,SV56: $i,SV13: $i,SV141: $i] :
      ( ( ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
          | ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) )
        = $false )
      | ( ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
        = $false )
      | ( ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[686]) ).

thf(702,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                    | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
              | ~ ( coll @ SV171 @ SV57 @ SV142 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[687]) ).

thf(703,plain,
    ! [SV60: $i,SV103: $i,SV17: $i] :
      ( ( ( ~ ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) )
        = $false )
      | ( ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
        = $false )
      | ( ( perp @ SV17 @ SV103 @ SV103 @ SV60 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(704,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ( ~ ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) ) )
        = $false )
      | ( ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
        = $false )
      | ( ( perp @ SV17 @ SV103 @ SV103 @ SV60 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(705,plain,
    ! [SV178: $i,SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
      ( ( ( ~ ( coll @ SV27 @ SV70 @ SV113 ) )
        = $false )
      | ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
              | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(706,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
          | ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
        = $true )
      | ( ( ~ ( midp @ SV179 @ SV73 @ SV155 ) )
        = $true )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(707,plain,
    ! [SV118: $i,SV157: $i,SV32: $i,SV75: $i] :
      ( ( ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
          | ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) )
        = $false )
      | ( ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
        = $false )
      | ( ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[691]) ).

thf(708,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                      | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
                | ~ ( coll @ SV123 @ SV37 @ SV80 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[692]) ).

thf(709,plain,
    ! [SV163: $i,SV127: $i,SV84: $i,SV41: $i,SV214: $i,SV207: $i,SV198: $i,SV183: $i] :
      ( ( ( perp @ SV183 @ SV198 @ SV207 @ SV214 )
        = $false )
      | ( ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV183 @ SV198 @ SV207 @ SV214 )
        = $false )
      | ( ( perp @ SV41 @ SV84 @ SV127 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[693]) ).

thf(710,plain,
    ! [SV164: $i,SV128: $i,SV85: $i,SV42: $i,SV215: $i,SV208: $i,SV199: $i,SV184: $i] :
      ( ( ( para @ SV184 @ SV199 @ SV208 @ SV215 )
        = $false )
      | ( ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV184 @ SV199 @ SV208 @ SV215 )
        = $false )
      | ( ( para @ SV42 @ SV85 @ SV128 @ SV164 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[694]) ).

thf(711,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
        = $false )
      | ( ( ~ ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        = $true )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[695]) ).

thf(712,plain,
    ! [SV2: $i,SV88: $i,SV45: $i,SV130: $i,SV166: $i] :
      ( ( ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
          | ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) )
        = $false )
      | ( ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
        = $false )
      | ( ( coll @ SV45 @ SV130 @ SV166 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[696]) ).

thf(713,plain,
    ! [SV90: $i,SV132: $i,SV4: $i,SV47: $i] :
      ( ( ( ~ ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) ) )
        = $false )
      | ( ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
        = $false )
      | ( ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(714,plain,
    ! [SV90: $i,SV4: $i,SV47: $i,SV132: $i] :
      ( ( ( ~ ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 ) )
        = $false )
      | ( ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
        = $false )
      | ( ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(715,plain,
    ! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
          | ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SV218 @ SV219 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SV218 @ SV219 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[698]) ).

thf(716,plain,
    ! [SV94: $i,SV51: $i,SV136: $i,SV8: $i] :
      ( ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( ~ ( perp @ SV51 @ SV136 @ SV8 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                          | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                    | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
              | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[699]) ).

thf(717,plain,
    ! [SV96: $i,SV138: $i,SV10: $i,SV53: $i] :
      ( ( ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) ) )
        = $false )
      | ( ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
        = $false )
      | ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(718,plain,
    ! [SV96: $i,SV138: $i,SV10: $i,SV53: $i] :
      ( ( ( ~ ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 ) )
        = $false )
      | ( ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
        = $false )
      | ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(719,plain,
    ! [SV99: $i,SV56: $i,SV13: $i,SV141: $i] :
      ( ( ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 ) )
        = $false )
      | ( ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
        = $false )
      | ( ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[701]) ).

thf(720,plain,
    ! [SV99: $i,SV56: $i,SV13: $i,SV141: $i] :
      ( ( ( ~ ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 ) )
        = $false )
      | ( ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
        = $false )
      | ( ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[701]) ).

thf(721,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
          | ~ ( coll @ SV171 @ SV57 @ SV142 ) )
        = $true )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[702]) ).

thf(722,plain,
    ! [SV60: $i,SV103: $i,SV17: $i] :
      ( ( ( coll @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
        = $true )
      | ( ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
        = $false )
      | ( ( perp @ SV17 @ SV103 @ SV103 @ SV60 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(723,plain,
    ! [SV60: $i,SV17: $i,SV103: $i] :
      ( ( ( cong @ SV103 @ SV17 @ SV103 @ ( sK8_SY637 @ SV60 @ SV17 @ SV103 ) )
        = $true )
      | ( ( cong @ SV103 @ SV17 @ SV103 @ SV60 )
        = $false )
      | ( ( perp @ SV17 @ SV103 @ SV103 @ SV60 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(724,plain,
    ! [SV178: $i,SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
      ( ( ( coll @ SV27 @ SV70 @ SV113 )
        = $true )
      | ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
              | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[705]) ).

thf(725,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ( ~ ( perp @ SV30 @ SV73 @ SV30 @ SV116 ) )
        = $true )
      | ( ( ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
        = $true )
      | ( ( ~ ( midp @ SV179 @ SV73 @ SV155 ) )
        = $true )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[706]) ).

thf(726,plain,
    ! [SV118: $i,SV157: $i,SV32: $i,SV75: $i] :
      ( ( ( ~ ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) ) )
        = $false )
      | ( ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
        = $false )
      | ( ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[707]) ).

thf(727,plain,
    ! [SV118: $i,SV157: $i,SV32: $i,SV75: $i] :
      ( ( ( ~ ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 ) )
        = $false )
      | ( ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
        = $false )
      | ( ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[707]) ).

thf(728,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                    | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
              | ~ ( coll @ SV123 @ SV37 @ SV80 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(729,plain,
    ! [SV185: $i,SV200: $i,SV165: $i,SV86: $i,SV129: $i,SV43: $i] :
      ( ( ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 )
        = $false )
      | ( ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
        = $false )
      | ( ( ~ ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        = $true )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(730,plain,
    ! [SV2: $i,SV88: $i,SV45: $i,SV130: $i,SV166: $i] :
      ( ( ( ~ ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 ) )
        = $false )
      | ( ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
        = $false )
      | ( ( coll @ SV45 @ SV130 @ SV166 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[712]) ).

thf(731,plain,
    ! [SV2: $i,SV88: $i,SV45: $i,SV130: $i,SV166: $i] :
      ( ( ( ~ ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 ) )
        = $false )
      | ( ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
        = $false )
      | ( ( coll @ SV45 @ SV130 @ SV166 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[712]) ).

thf(732,plain,
    ! [SV90: $i,SV132: $i,SV4: $i,SV47: $i] :
      ( ( ( coll @ SV47 @ SV4 @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) )
        = $true )
      | ( ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
        = $false )
      | ( ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[713]) ).

thf(733,plain,
    ! [SV90: $i,SV4: $i,SV47: $i,SV132: $i] :
      ( ( ( coll @ ( sK9_SY700 @ SV132 @ SV47 @ SV4 @ SV90 ) @ SV90 @ SV132 )
        = $true )
      | ( ( cong @ SV90 @ SV4 @ SV90 @ SV47 )
        = $false )
      | ( ( eqangle @ SV4 @ SV90 @ SV90 @ SV132 @ SV90 @ SV132 @ SV90 @ SV47 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[714]) ).

thf(734,plain,
    ! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SV218 @ SV219 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SV218 @ SV219 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[715]) ).

thf(735,plain,
    ! [SV94: $i,SV8: $i,SV136: $i,SV51: $i] :
      ( ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                          | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                    | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
              | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(736,plain,
    ! [SV96: $i,SV138: $i,SV10: $i,SV53: $i] :
      ( ( ( coll @ SV53 @ SV10 @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) )
        = $true )
      | ( ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
        = $false )
      | ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[717]) ).

thf(737,plain,
    ! [SV96: $i,SV138: $i,SV10: $i,SV53: $i] :
      ( ( ( coll @ ( sK11_SY714 @ SV53 @ SV10 @ SV138 @ SV96 ) @ SV96 @ SV138 )
        = $true )
      | ( ( perp @ SV96 @ SV138 @ SV10 @ SV53 )
        = $false )
      | ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[718]) ).

thf(738,plain,
    ! [SV99: $i,SV56: $i,SV13: $i,SV141: $i] :
      ( ( ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV13 @ SV56 )
        = $true )
      | ( ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
        = $false )
      | ( ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[719]) ).

thf(739,plain,
    ! [SV99: $i,SV56: $i,SV13: $i,SV141: $i] :
      ( ( ( coll @ ( sK13_SY720 @ SV141 @ SV13 @ SV56 @ SV99 ) @ SV99 @ SV141 )
        = $true )
      | ( ( perp @ SV99 @ SV56 @ SV56 @ SV13 )
        = $false )
      | ( ( eqangle @ SV141 @ SV99 @ SV56 @ SV99 @ SV56 @ SV99 @ SV13 @ SV99 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[720]) ).

thf(740,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
                | ~ ( coll @ SV171 @ SV14 @ SV100 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV171 @ SV57 @ SV142 ) )
        = $true )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[721]) ).

thf(741,plain,
    ! [SV152: $i,SV178: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
          | ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) )
        = $false )
      | ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
        = $false )
      | ( ( coll @ SV27 @ SV70 @ SV113 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[724]) ).

thf(742,plain,
    ! [SV179: $i,SV155: $i,SV116: $i,SV73: $i,SV30: $i] :
      ( ( ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
        = $false )
      | ( ( ~ ( perp @ SV116 @ SV30 @ SV116 @ SV155 ) )
        = $true )
      | ( ( ~ ( midp @ SV179 @ SV73 @ SV155 ) )
        = $true )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[725]) ).

thf(743,plain,
    ! [SV118: $i,SV157: $i,SV32: $i,SV75: $i] :
      ( ( ( coll @ SV75 @ SV32 @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) )
        = $true )
      | ( ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
        = $false )
      | ( ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[726]) ).

thf(744,plain,
    ! [SV118: $i,SV157: $i,SV32: $i,SV75: $i] :
      ( ( ( coll @ ( sK14_SY745 @ SV75 @ SV32 @ SV157 @ SV118 ) @ SV118 @ SV157 )
        = $true )
      | ( ( perp @ SV118 @ SV157 @ SV32 @ SV75 )
        = $false )
      | ( ( eqangle @ SV32 @ SV118 @ SV118 @ SV157 @ SV118 @ SV157 @ SV118 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(745,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
          | ~ ( coll @ SV123 @ SV37 @ SV80 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(746,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( ~ ( coll @ SV43 @ SV86 @ SV129 ) )
        = $false )
      | ( ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
        = $false )
      | ( ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 )
        = $false )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[729]) ).

thf(747,plain,
    ! [SV2: $i,SV88: $i,SV45: $i,SV130: $i,SV166: $i] :
      ( ( ( coll @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV130 @ SV166 )
        = $true )
      | ( ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
        = $false )
      | ( ( coll @ SV45 @ SV130 @ SV166 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(748,plain,
    ! [SV2: $i,SV88: $i,SV45: $i,SV130: $i,SV166: $i] :
      ( ( ( perp @ ( sK15_SY764 @ SV166 @ SV130 @ SV45 @ SV88 @ SV2 ) @ SV2 @ SV130 @ SV166 )
        = $true )
      | ( ( perp @ SV2 @ SV88 @ SV88 @ SV45 )
        = $false )
      | ( ( coll @ SV45 @ SV130 @ SV166 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(749,plain,
    ! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
      ( ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
        = $false )
      | ( ( ~ ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SV218 @ SV219 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SV218 @ SV219 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(750,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                      | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
          | ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[735]) ).

thf(751,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
              | ~ ( coll @ SV171 @ SV14 @ SV100 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV171 @ SV57 @ SV142 ) )
        = $true )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[740]) ).

thf(752,plain,
    ! [SV152: $i,SV178: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ( ~ ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) )
        = $false )
      | ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
        = $false )
      | ( ( coll @ SV27 @ SV70 @ SV113 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[741]) ).

thf(753,plain,
    ! [SV27: $i,SV178: $i,SV113: $i,SV70: $i,SV152: $i] :
      ( ( ( ~ ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) ) )
        = $false )
      | ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
        = $false )
      | ( ( coll @ SV27 @ SV70 @ SV113 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[741]) ).

thf(754,plain,
    ! [SV179: $i,SV73: $i,SV155: $i,SV30: $i,SV116: $i] :
      ( ( ( perp @ SV116 @ SV30 @ SV116 @ SV155 )
        = $false )
      | ( ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
        = $false )
      | ( ( ~ ( midp @ SV179 @ SV73 @ SV155 ) )
        = $true )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(755,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
                | ~ ( midp @ SV196 @ SV123 @ SV160 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV123 @ SV37 @ SV80 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[745]) ).

thf(756,plain,
    ! [SV200: $i,SV185: $i,SV165: $i,SV129: $i,SV86: $i,SV43: $i] :
      ( ( ( coll @ SV43 @ SV86 @ SV129 )
        = $true )
      | ( ( eqangle @ SV43 @ SV86 @ SV86 @ SV129 @ SV165 @ SV185 @ SV185 @ SV200 )
        = $false )
      | ( ( eqangle @ SV43 @ SV129 @ SV86 @ SV129 @ SV165 @ SV200 @ SV185 @ SV200 )
        = $false )
      | ( ( simtri @ SV43 @ SV86 @ SV129 @ SV165 @ SV185 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[746]) ).

thf(757,plain,
    ! [SV135: $i,SV93: $i,SV50: $i,SV7: $i,SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV209: $i,SV201: $i,SV186: $i,SV168: $i] :
      ( ( ( eqangle @ SV168 @ SV186 @ SV201 @ SV209 @ SV216 @ SV217 @ SV218 @ SV219 )
        = $false )
      | ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV186 @ SV201 @ SV209 )
        = $false )
      | ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV216 @ SV217 @ SV218 @ SV219 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[749]) ).

thf(758,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                      | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
                | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[750]) ).

thf(759,plain,
    ! [SV8: $i,SV136: $i,SV94: $i,SV51: $i] :
      ( ( ( ~ ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[750]) ).

thf(760,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 )
          | ~ ( coll @ SV171 @ SV14 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV171 @ SV57 @ SV142 ) )
        = $true )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[751]) ).

thf(761,plain,
    ! [SV152: $i,SV178: $i,SV70: $i,SV113: $i,SV27: $i] :
      ( ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) @ SV70 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
        = $true )
      | ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
        = $false )
      | ( ( coll @ SV27 @ SV70 @ SV113 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[752]) ).

thf(762,plain,
    ! [SV27: $i,SV178: $i,SV113: $i,SV70: $i,SV152: $i] :
      ( ( ( cyclic @ SV152 @ SV70 @ SV113 @ ( sK16_SY787 @ SV178 @ SV152 @ SV70 @ SV113 @ SV27 ) )
        = $true )
      | ( ( eqangle @ SV27 @ SV113 @ SV70 @ SV113 @ SV27 @ SV152 @ SV70 @ SV178 )
        = $false )
      | ( ( coll @ SV27 @ SV70 @ SV113 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(763,plain,
    ! [SV116: $i,SV30: $i,SV155: $i,SV73: $i,SV179: $i] :
      ( ( ( midp @ SV179 @ SV73 @ SV155 )
        = $false )
      | ( ( perp @ SV30 @ SV73 @ SV30 @ SV116 )
        = $false )
      | ( ( perp @ SV116 @ SV30 @ SV116 @ SV155 )
        = $false )
      | ( ( midp @ ( sK17_SY788 @ SV179 @ SV155 @ SV116 @ SV73 @ SV30 ) @ SV30 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(764,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ( ~ ( midp @ SV181 @ SV37 @ SV80 )
              | ~ ( midp @ SV196 @ SV123 @ SV160 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV123 @ SV37 @ SV80 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[755]) ).

thf(765,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                    | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
              | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) ) )
        = $true )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[758]) ).

thf(766,plain,
    ! [SV8: $i,SV136: $i,SV94: $i,SV51: $i] :
      ( ( ( perp @ SV51 @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 )
        = $true )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[759]) ).

thf(767,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( ~ ( para @ SV14 @ SV57 @ SV100 @ SV142 ) )
        = $true )
      | ( ( ~ ( coll @ SV171 @ SV14 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV171 @ SV57 @ SV142 ) )
        = $true )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[760]) ).

thf(768,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ( midp @ SV181 @ SV37 @ SV80 )
          | ~ ( midp @ SV196 @ SV123 @ SV160 ) )
        = $true )
      | ( ( ~ ( coll @ SV123 @ SV37 @ SV80 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[764]) ).

thf(769,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
          | ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[765]) ).

thf(770,plain,
    ! [SV189: $i,SV171: $i,SV142: $i,SV100: $i,SV57: $i,SV14: $i] :
      ( ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( ~ ( coll @ SV171 @ SV14 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV171 @ SV57 @ SV142 ) )
        = $true )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[767]) ).

thf(771,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( ~ ( midp @ SV181 @ SV37 @ SV80 ) )
        = $true )
      | ( ( ~ ( midp @ SV196 @ SV123 @ SV160 ) )
        = $true )
      | ( ( ~ ( coll @ SV123 @ SV37 @ SV80 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[768]) ).

thf(772,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
                | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(773,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(774,plain,
    ! [SV189: $i,SV142: $i,SV57: $i,SV100: $i,SV14: $i,SV171: $i] :
      ( ( ( coll @ SV171 @ SV14 @ SV100 )
        = $false )
      | ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( ~ ( coll @ SV171 @ SV57 @ SV142 ) )
        = $true )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[770]) ).

thf(775,plain,
    ! [SV205: $i,SV160: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV181: $i] :
      ( ( ( midp @ SV181 @ SV37 @ SV80 )
        = $false )
      | ( ( ~ ( midp @ SV196 @ SV123 @ SV160 ) )
        = $true )
      | ( ( ~ ( coll @ SV123 @ SV37 @ SV80 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(776,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
              | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) ) )
        = $true )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[772]) ).

thf(777,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( coll @ ( sK19_SY809 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV8 )
        = $true )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[773]) ).

thf(778,plain,
    ! [SV189: $i,SV100: $i,SV14: $i,SV142: $i,SV57: $i,SV171: $i] :
      ( ( ( coll @ SV171 @ SV57 @ SV142 )
        = $false )
      | ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( coll @ SV171 @ SV14 @ SV100 )
        = $false )
      | ( ( ~ ( coll @ SV189 @ SV14 @ SV57 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(779,plain,
    ! [SV205: $i,SV80: $i,SV37: $i,SV181: $i,SV160: $i,SV123: $i,SV196: $i] :
      ( ( ( midp @ SV196 @ SV123 @ SV160 )
        = $false )
      | ( ( midp @ SV181 @ SV37 @ SV80 )
        = $false )
      | ( ( ~ ( coll @ SV123 @ SV37 @ SV80 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(780,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
          | ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[776]) ).

thf(781,plain,
    ! [SV142: $i,SV100: $i,SV171: $i,SV57: $i,SV14: $i,SV189: $i] :
      ( ( ( coll @ SV189 @ SV14 @ SV57 )
        = $false )
      | ( ( coll @ SV171 @ SV14 @ SV100 )
        = $false )
      | ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( coll @ SV171 @ SV57 @ SV142 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
              | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[778]) ).

thf(782,plain,
    ! [SV205: $i,SV160: $i,SV196: $i,SV181: $i,SV80: $i,SV37: $i,SV123: $i] :
      ( ( ( coll @ SV123 @ SV37 @ SV80 )
        = $false )
      | ( ( midp @ SV181 @ SV37 @ SV80 )
        = $false )
      | ( ( midp @ SV196 @ SV123 @ SV160 )
        = $false )
      | ( ( ~ ( coll @ SV160 @ SV37 @ SV80 ) )
        = $true )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[779]) ).

thf(783,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( ~ ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[780]) ).

thf(784,plain,
    ! [SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
      ( ( ( ~ ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 ) )
        = $false )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[780]) ).

thf(785,plain,
    ! [SV14: $i,SV57: $i,SV100: $i,SV142: $i,SV189: $i,SV171: $i] :
      ( ( ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
          | ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) )
        = $false )
      | ( ( coll @ SV171 @ SV57 @ SV142 )
        = $false )
      | ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( coll @ SV171 @ SV14 @ SV100 )
        = $false )
      | ( ( coll @ SV189 @ SV14 @ SV57 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[781]) ).

thf(786,plain,
    ! [SV205: $i,SV181: $i,SV123: $i,SV196: $i,SV80: $i,SV37: $i,SV160: $i] :
      ( ( ( coll @ SV160 @ SV37 @ SV80 )
        = $false )
      | ( ( midp @ SV196 @ SV123 @ SV160 )
        = $false )
      | ( ( midp @ SV181 @ SV37 @ SV80 )
        = $false )
      | ( ( coll @ SV123 @ SV37 @ SV80 )
        = $false )
      | ( ( midp @ ( sK20_SY833 @ SV205 @ SV160 @ SV123 @ SV196 @ SV80 @ SV37 @ SV181 ) @ SV37 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(787,plain,
    ! [SV8: $i,SV136: $i,SV51: $i,SV94: $i] :
      ( ( ( coll @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
        = $true )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[783]) ).

thf(788,plain,
    ! [SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
      ( ( ( perp @ SV8 @ ( sK10_SY710 @ SV94 @ SV51 @ SV136 @ SV8 ) @ SV94 @ SV51 )
        = $true )
      | ( ( perp @ SV8 @ SV136 @ SV51 @ SV94 )
        = $false )
      | ( ( perp @ SV51 @ SV136 @ SV8 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[784]) ).

thf(789,plain,
    ! [SV14: $i,SV57: $i,SV100: $i,SV142: $i,SV189: $i,SV171: $i] :
      ( ( ( ~ ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) ) )
        = $false )
      | ( ( coll @ SV171 @ SV57 @ SV142 )
        = $false )
      | ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( coll @ SV171 @ SV14 @ SV100 )
        = $false )
      | ( ( coll @ SV189 @ SV14 @ SV57 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[785]) ).

thf(790,plain,
    ! [SV14: $i,SV57: $i,SV100: $i,SV142: $i,SV171: $i,SV189: $i] :
      ( ( ( ~ ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 ) )
        = $false )
      | ( ( coll @ SV171 @ SV57 @ SV142 )
        = $false )
      | ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( coll @ SV171 @ SV14 @ SV100 )
        = $false )
      | ( ( coll @ SV189 @ SV14 @ SV57 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[785]) ).

thf(791,plain,
    ! [SV14: $i,SV57: $i,SV100: $i,SV142: $i,SV189: $i,SV171: $i] :
      ( ( ( coll @ SV171 @ SV189 @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) )
        = $true )
      | ( ( coll @ SV171 @ SV57 @ SV142 )
        = $false )
      | ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( coll @ SV171 @ SV14 @ SV100 )
        = $false )
      | ( ( coll @ SV189 @ SV14 @ SV57 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[789]) ).

thf(792,plain,
    ! [SV14: $i,SV57: $i,SV100: $i,SV142: $i,SV171: $i,SV189: $i] :
      ( ( ( coll @ ( sK18_SY812 @ SV189 @ SV171 @ SV142 @ SV100 @ SV57 @ SV14 ) @ SV100 @ SV142 )
        = $true )
      | ( ( coll @ SV171 @ SV57 @ SV142 )
        = $false )
      | ( ( para @ SV14 @ SV57 @ SV100 @ SV142 )
        = $false )
      | ( ( coll @ SV171 @ SV14 @ SV100 )
        = $false )
      | ( ( coll @ SV189 @ SV14 @ SV57 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[790]) ).

thf(793,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[202,792,791,788,787,786,777,766,763,762,761,757,756,748,747,744,743,739,738,737,736,733,732,723,722,710,709,672,668,659,656,654,653,644,638,637,635,630,628,627,624,619,611,587,569,564,563,491,475,473,465,463,461,450,443,255,210,209,208,207,206,205,204,203]) ).

thf(794,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[793]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.17  % Computer : n018.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Tue Oct  6 10:21:06 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.26/0.92  
% 4.26/0.92   No.of.Axioms: 43
% 4.26/0.92  
% 4.26/0.92   Length.of.Defs: 0
% 4.26/0.92  
% 4.26/0.92   Contains.Choice.Funs: false
% 4.26/0.92  .............................................
% 4.26/0.92  
% 4.26/0.92  ********************************
% 4.26/0.92  *   All subproblems solved!    *
% 4.26/0.92  ********************************
% 4.26/0.92  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:52,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:793,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.26/0.92  
% 4.26/0.92  %**** Beginning of derivation protocol ****
% 4.26/0.92  % SZS output start CNFRefutation
% See solution above
% 4.26/0.93  
% 4.26/0.93  %**** End of derivation protocol ****
% 4.26/0.93  %**** no. of clauses in derivation: 743 ****
% 4.26/0.93  %**** clause counter: 793 ****
% 4.26/0.93  
% 4.26/0.93  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:52,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:793,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------