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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : GEO623+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 : n010.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 10:19:25 AM UTC 2026

% Result   : Theorem 19.18s 3.48s
% Output   : CNFRefutation 19.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   57
% Syntax   : Number of formulae    : 1009 ( 534 unt;   0 typ;   0 def)
%            Number of atoms       : 7253 (1825 equ;   0 cnn)
%            Maximal formula atoms :    8 (   7 avg)
%            Number of connectives : 24600 (4014   ~;2228   |; 279   &;17900   @)
%                                         (   0 <=>; 179  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   38 (  35 usr;  10 con; 0-8 aty)
%            Number of variables   : 5445 (   0   ^;5397   !;  48   ?;5445   :)

% 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_SY941,type,
    sK10_SY941: $i > $i > $i > $i > $i ).

thf(tp_sK11_SY967,type,
    sK11_SY967: $i > $i > $i > $i > $i ).

thf(tp_sK12_SY991,type,
    sK12_SY991: $i > $i > $i > $i > $i ).

thf(tp_sK13_SY994,type,
    sK13_SY994: $i > $i > $i > $i > $i ).

thf(tp_sK14_SY999,type,
    sK14_SY999: $i > $i > $i > $i > $i ).

thf(tp_sK15_SY1013,type,
    sK15_SY1013: $i > $i > $i > $i > $i > $i ).

thf(tp_sK16_SY1024,type,
    sK16_SY1024: $i > $i > $i > $i > $i > $i ).

thf(tp_sK17_SY1030,type,
    sK17_SY1030: $i > $i > $i > $i > $i > $i ).

thf(tp_sK18_SY1059,type,
    sK18_SY1059: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK19_SY1068,type,
    sK19_SY1068: $i > $i > $i > $i > $i > $i > $i ).

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

thf(tp_sK20_SY1072,type,
    sK20_SY1072: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK21_SY1089,type,
    sK21_SY1089: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK22_SY1083,type,
    sK22_SY1083: $i > $i > $i > $i > $i ).

thf(tp_sK23_SY1099,type,
    sK23_SY1099: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK24_SY1100,type,
    sK24_SY1100: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK2_SY312,type,
    sK2_SY312: $i ).

thf(tp_sK3_SY319,type,
    sK3_SY319: $i ).

thf(tp_sK4_SY325,type,
    sK4_SY325: $i ).

thf(tp_sK5_SY330,type,
    sK5_SY330: $i ).

thf(tp_sK6_SY334,type,
    sK6_SY334: $i ).

thf(tp_sK7_SY337,type,
    sK7_SY337: $i ).

thf(tp_sK8_SY339,type,
    sK8_SY339: $i ).

thf(tp_sK9_SY882,type,
    sK9_SY882: $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(7,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
    ? [P: $i,Q: $i] :
      ( ( ( circle @ M @ A @ B @ C )
        & ( cong @ M @ A @ M @ D )
        & ( cong @ N @ A @ N @ B )
        & ( M != N ) )
     => ( ( coll @ P @ A @ C )
        & ( cong @ P @ N @ N @ A )
        & ( coll @ Q @ B @ D )
        & ( cong @ Q @ N @ N @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX12) ).

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(11,axiom,
    ! [A: $i,B: $i,M: $i,P: $i,Q: $i,R: $i,M: $i] :
    ? [X: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( para @ A @ P @ R @ M )
        & ( para @ A @ P @ B @ Q )
        & ( coll @ P @ Q @ R ) )
     => ( ( coll @ X @ A @ Q )
        & ( coll @ X @ M @ R ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX8) ).

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(13,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
    ? [P: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( midp @ N @ C @ D ) )
     => ( ( midp @ P @ A @ D )
        & ( para @ P @ M @ B @ D )
        & ( para @ P @ N @ A @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX6) ).

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(19,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( cong @ P @ Q @ U @ V ) )
     => ( cong @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD75) ).

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(24,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( midp @ N @ C @ D ) )
     => ( eqratio @ M @ A @ A @ B @ N @ C @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD70) ).

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(26,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( cong @ A @ B @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).

thf(27,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( cong @ A @ B @ A @ C )
        & ( coll @ A @ B @ C ) )
     => ( midp @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).

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(30,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( para @ A @ C @ B @ D )
        & ( para @ A @ D @ B @ C ) )
     => ( midp @ M @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).

thf(31,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( midp @ M @ C @ D ) )
     => ( para @ A @ C @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).

thf(32,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( contri @ A @ B @ C @ P @ Q @ R )
     => ( cong @ A @ B @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD62) ).

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(39,axiom,
    ! [A: $i,B: $i,M: $i,O: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( perp @ O @ M @ A @ B ) )
     => ( cong @ O @ A @ O @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).

thf(42,axiom,
    ! [A: $i,B: $i,C: $i,M: $i] :
      ( ( ( perp @ A @ B @ B @ C )
        & ( midp @ M @ A @ C ) )
     => ( cong @ A @ M @ B @ M ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).

thf(43,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( coll @ M @ B @ C )
        & ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) )
     => ( midp @ M @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD51) ).

thf(44,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( midp @ M @ B @ C ) )
     => ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD50) ).

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(49,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
      ( ( ( midp @ E @ A @ B )
        & ( para @ E @ F @ B @ C )
        & ( coll @ F @ A @ C ) )
     => ( midp @ F @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).

thf(50,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
      ( ( ( midp @ E @ A @ B )
        & ( midp @ F @ A @ C ) )
     => ( para @ E @ F @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).

thf(51,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( cyclic @ A @ B @ C @ P )
        & ( cyclic @ A @ B @ C @ Q )
        & ( cyclic @ A @ B @ C @ R )
        & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
     => ( cong @ A @ B @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).

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(70,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( cong @ A @ B @ C @ D )
        & ( cong @ C @ D @ E @ F ) )
     => ( cong @ A @ B @ E @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).

thf(71,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cong @ A @ B @ C @ D )
     => ( cong @ C @ D @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).

thf(72,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cong @ A @ B @ C @ D )
     => ( cong @ A @ B @ D @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).

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(82,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( cong @ O @ A @ O @ C )
        & ( cong @ O @ A @ O @ D ) )
     => ( cyclic @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD13) ).

thf(83,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( cong @ O @ A @ O @ C ) )
     => ( circle @ O @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).

thf(84,axiom,
    ! [A: $i,B: $i,M: $i] :
      ( ( midp @ M @ B @ A )
     => ( midp @ M @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).

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,D: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( midp @ D @ C @ A )
        & ( midp @ E @ B @ C )
        & ( midp @ F @ A @ B )
        & ( eqangle @ G @ B @ B @ C @ G @ B @ B @ A )
        & ( coll @ G @ D @ F )
        & ( coll @ H @ B @ G )
        & ( coll @ H @ D @ E ) )
     => ( cong @ D @ G @ D @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110986) ).

thf(96,negated_conjecture,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
          ( ( ( midp @ D @ C @ A )
            & ( midp @ E @ B @ C )
            & ( midp @ F @ A @ B )
            & ( eqangle @ G @ B @ B @ C @ G @ B @ B @ A )
            & ( coll @ G @ D @ F )
            & ( coll @ H @ B @ G )
            & ( coll @ H @ D @ E ) )
         => ( cong @ D @ G @ D @ H ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[95]) ).

thf(97,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
          ( ( ( midp @ D @ C @ A )
            & ( midp @ E @ B @ C )
            & ( midp @ F @ A @ B )
            & ( eqangle @ G @ B @ B @ C @ G @ B @ B @ A )
            & ( coll @ G @ D @ F )
            & ( coll @ H @ B @ G )
            & ( coll @ H @ D @ E ) )
         => ( cong @ D @ G @ D @ H ) ) )
    = $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,D: $i,M: $i,N: $i] :
        ? [P: $i,Q: $i] :
          ( ( ( circle @ M @ A @ B @ C )
            & ( cong @ M @ A @ M @ D )
            & ( cong @ N @ A @ N @ B )
            & ( M != N ) )
         => ( ( coll @ P @ A @ C )
            & ( cong @ P @ N @ N @ A )
            & ( coll @ Q @ B @ D )
            & ( cong @ Q @ N @ N @ A ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

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,M: $i,P: $i,Q: $i,R: $i,M: $i] :
        ? [X: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( para @ A @ P @ R @ M )
            & ( para @ A @ P @ B @ Q )
            & ( coll @ P @ Q @ R ) )
         => ( ( coll @ X @ A @ Q )
            & ( coll @ X @ M @ R ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(105,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(106,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
        ? [P: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ N @ C @ D ) )
         => ( ( midp @ P @ A @ D )
            & ( para @ P @ M @ B @ D )
            & ( para @ P @ N @ A @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(107,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(108,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(109,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(110,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(111,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(112,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( cong @ P @ Q @ U @ V ) )
         => ( cong @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(113,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(114,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(115,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ N @ C @ D ) )
         => ( eqratio @ M @ A @ A @ B @ N @ C @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(116,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(117,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(118,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( cong @ A @ B @ A @ C )
            & ( coll @ A @ B @ C ) )
         => ( midp @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(119,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(120,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( para @ A @ C @ B @ D )
            & ( para @ A @ D @ B @ C ) )
         => ( midp @ M @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(121,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ M @ C @ D ) )
         => ( para @ A @ C @ B @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(122,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( contri @ A @ B @ C @ P @ Q @ R )
         => ( cong @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(123,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(124,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(125,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(126,plain,
    ( ( ! [A: $i,B: $i,M: $i,O: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( perp @ O @ M @ A @ B ) )
         => ( cong @ O @ A @ O @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(127,plain,
    ( ( ! [A: $i,B: $i,C: $i,M: $i] :
          ( ( ( perp @ A @ B @ B @ C )
            & ( midp @ M @ A @ C ) )
         => ( cong @ A @ M @ B @ M ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(128,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( coll @ M @ B @ C )
            & ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) )
         => ( midp @ M @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(129,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( midp @ M @ B @ C ) )
         => ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(130,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(131,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(132,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ( ( midp @ E @ A @ B )
            & ( para @ E @ F @ B @ C )
            & ( coll @ F @ A @ C ) )
         => ( midp @ F @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(133,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ( ( midp @ E @ A @ B )
            & ( midp @ F @ A @ C ) )
         => ( para @ E @ F @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(134,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( cyclic @ A @ B @ C @ P )
            & ( cyclic @ A @ B @ C @ Q )
            & ( cyclic @ A @ B @ C @ R )
            & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
         => ( cong @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(135,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(136,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(137,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(138,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(139,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(140,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( cong @ A @ B @ C @ D )
            & ( cong @ C @ D @ E @ F ) )
         => ( cong @ A @ B @ E @ F ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(141,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cong @ A @ B @ C @ D )
         => ( cong @ C @ D @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(142,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cong @ A @ B @ C @ D )
         => ( cong @ A @ B @ D @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(143,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(144,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(145,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(146,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(147,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(148,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( cong @ O @ A @ O @ C )
            & ( cong @ O @ A @ O @ D ) )
         => ( cyclic @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(149,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( cong @ O @ A @ O @ C ) )
         => ( circle @ O @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(150,plain,
    ( ( ! [A: $i,B: $i,M: $i] :
          ( ( midp @ M @ B @ A )
         => ( midp @ M @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(151,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(152,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(153,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(154,plain,
    ( ( ! [SY312: $i,SY313: $i,SY314: $i,SY315: $i,SY316: $i,SY317: $i,SY318: $i] :
          ( ( ( midp @ SY314 @ SY313 @ sK1_A )
            & ( midp @ SY315 @ SY312 @ SY313 )
            & ( midp @ SY316 @ sK1_A @ SY312 )
            & ( eqangle @ SY317 @ SY312 @ SY312 @ SY313 @ SY317 @ SY312 @ SY312 @ sK1_A )
            & ( coll @ SY317 @ SY314 @ SY316 )
            & ( coll @ SY318 @ SY312 @ SY317 )
            & ( coll @ SY318 @ SY314 @ SY315 ) )
         => ( cong @ SY314 @ SY317 @ SY314 @ SY318 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[97]) ).

thf(155,plain,
    ( ( ! [SY319: $i,SY320: $i,SY321: $i,SY322: $i,SY323: $i,SY324: $i] :
          ( ( ( midp @ SY320 @ SY319 @ sK1_A )
            & ( midp @ SY321 @ sK2_SY312 @ SY319 )
            & ( midp @ SY322 @ sK1_A @ sK2_SY312 )
            & ( eqangle @ SY323 @ sK2_SY312 @ sK2_SY312 @ SY319 @ SY323 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
            & ( coll @ SY323 @ SY320 @ SY322 )
            & ( coll @ SY324 @ sK2_SY312 @ SY323 )
            & ( coll @ SY324 @ SY320 @ SY321 ) )
         => ( cong @ SY320 @ SY323 @ SY320 @ SY324 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[154]) ).

thf(156,plain,
    ( ( ! [SY325: $i,SY326: $i,SY327: $i,SY328: $i,SY329: $i] :
          ( ( ( midp @ SY325 @ sK3_SY319 @ sK1_A )
            & ( midp @ SY326 @ sK2_SY312 @ sK3_SY319 )
            & ( midp @ SY327 @ sK1_A @ sK2_SY312 )
            & ( eqangle @ SY328 @ sK2_SY312 @ sK2_SY312 @ sK3_SY319 @ SY328 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
            & ( coll @ SY328 @ SY325 @ SY327 )
            & ( coll @ SY329 @ sK2_SY312 @ SY328 )
            & ( coll @ SY329 @ SY325 @ SY326 ) )
         => ( cong @ SY325 @ SY328 @ SY325 @ SY329 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[155]) ).

thf(157,plain,
    ( ( ! [SY330: $i,SY331: $i,SY332: $i,SY333: $i] :
          ( ( ( midp @ sK4_SY325 @ sK3_SY319 @ sK1_A )
            & ( midp @ SY330 @ sK2_SY312 @ sK3_SY319 )
            & ( midp @ SY331 @ sK1_A @ sK2_SY312 )
            & ( eqangle @ SY332 @ sK2_SY312 @ sK2_SY312 @ sK3_SY319 @ SY332 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
            & ( coll @ SY332 @ sK4_SY325 @ SY331 )
            & ( coll @ SY333 @ sK2_SY312 @ SY332 )
            & ( coll @ SY333 @ sK4_SY325 @ SY330 ) )
         => ( cong @ sK4_SY325 @ SY332 @ sK4_SY325 @ SY333 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[156]) ).

thf(158,plain,
    ( ( ! [SY334: $i,SY335: $i,SY336: $i] :
          ( ( ( midp @ sK4_SY325 @ sK3_SY319 @ sK1_A )
            & ( midp @ sK5_SY330 @ sK2_SY312 @ sK3_SY319 )
            & ( midp @ SY334 @ sK1_A @ sK2_SY312 )
            & ( eqangle @ SY335 @ sK2_SY312 @ sK2_SY312 @ sK3_SY319 @ SY335 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
            & ( coll @ SY335 @ sK4_SY325 @ SY334 )
            & ( coll @ SY336 @ sK2_SY312 @ SY335 )
            & ( coll @ SY336 @ sK4_SY325 @ sK5_SY330 ) )
         => ( cong @ sK4_SY325 @ SY335 @ sK4_SY325 @ SY336 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[157]) ).

thf(159,plain,
    ( ( ! [SY337: $i,SY338: $i] :
          ( ( ( midp @ sK4_SY325 @ sK3_SY319 @ sK1_A )
            & ( midp @ sK5_SY330 @ sK2_SY312 @ sK3_SY319 )
            & ( midp @ sK6_SY334 @ sK1_A @ sK2_SY312 )
            & ( eqangle @ SY337 @ sK2_SY312 @ sK2_SY312 @ sK3_SY319 @ SY337 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
            & ( coll @ SY337 @ sK4_SY325 @ sK6_SY334 )
            & ( coll @ SY338 @ sK2_SY312 @ SY337 )
            & ( coll @ SY338 @ sK4_SY325 @ sK5_SY330 ) )
         => ( cong @ sK4_SY325 @ SY337 @ sK4_SY325 @ SY338 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[158]) ).

thf(160,plain,
    ( ( ! [SY339: $i] :
          ( ( ( midp @ sK4_SY325 @ sK3_SY319 @ sK1_A )
            & ( midp @ sK5_SY330 @ sK2_SY312 @ sK3_SY319 )
            & ( midp @ sK6_SY334 @ sK1_A @ sK2_SY312 )
            & ( eqangle @ sK7_SY337 @ sK2_SY312 @ sK2_SY312 @ sK3_SY319 @ sK7_SY337 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
            & ( coll @ sK7_SY337 @ sK4_SY325 @ sK6_SY334 )
            & ( coll @ SY339 @ sK2_SY312 @ sK7_SY337 )
            & ( coll @ SY339 @ sK4_SY325 @ sK5_SY330 ) )
         => ( cong @ sK4_SY325 @ sK7_SY337 @ sK4_SY325 @ SY339 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[159]) ).

thf(161,plain,
    ( ( ( ( midp @ sK4_SY325 @ sK3_SY319 @ sK1_A )
        & ( midp @ sK5_SY330 @ sK2_SY312 @ sK3_SY319 )
        & ( midp @ sK6_SY334 @ sK1_A @ sK2_SY312 )
        & ( eqangle @ sK7_SY337 @ sK2_SY312 @ sK2_SY312 @ sK3_SY319 @ sK7_SY337 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
        & ( coll @ sK7_SY337 @ sK4_SY325 @ sK6_SY334 )
        & ( coll @ sK8_SY339 @ sK2_SY312 @ sK7_SY337 )
        & ( coll @ sK8_SY339 @ sK4_SY325 @ sK5_SY330 ) )
     => ( cong @ sK4_SY325 @ sK7_SY337 @ sK4_SY325 @ sK8_SY339 ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[160]) ).

thf(162,plain,
    ( ( midp @ sK4_SY325 @ sK3_SY319 @ sK1_A )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(163,plain,
    ( ( midp @ sK5_SY330 @ sK2_SY312 @ sK3_SY319 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(164,plain,
    ( ( midp @ sK6_SY334 @ sK1_A @ sK2_SY312 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(165,plain,
    ( ( eqangle @ sK7_SY337 @ sK2_SY312 @ sK2_SY312 @ sK3_SY319 @ sK7_SY337 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(166,plain,
    ( ( coll @ sK7_SY337 @ sK4_SY325 @ sK6_SY334 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(167,plain,
    ( ( coll @ sK8_SY339 @ sK2_SY312 @ sK7_SY337 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(168,plain,
    ( ( coll @ sK8_SY339 @ sK4_SY325 @ sK5_SY330 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(169,plain,
    ( ( cong @ sK4_SY325 @ sK7_SY337 @ sK4_SY325 @ sK8_SY339 )
    = $false ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(170,plain,
    ( ( ~ ( cong @ sK4_SY325 @ sK7_SY337 @ sK4_SY325 @ sK8_SY339 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[169]) ).

thf(171,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[153]) ).

thf(172,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[152]) ).

thf(173,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)],[151]) ).

thf(174,plain,
    ( ( ! [A: $i,B: $i,M: $i] :
          ( ( midp @ M @ B @ A )
         => ( midp @ M @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[150]) ).

thf(175,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( cong @ O @ A @ O @ C ) )
         => ( circle @ O @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[149]) ).

thf(176,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( cong @ O @ A @ O @ C )
            & ( cong @ O @ A @ O @ D ) )
         => ( cyclic @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[148]) ).

thf(177,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)],[147]) ).

thf(178,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)],[146]) ).

thf(179,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)],[145]) ).

thf(180,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)],[144]) ).

thf(181,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)],[143]) ).

thf(182,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cong @ A @ B @ C @ D )
         => ( cong @ A @ B @ D @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[142]) ).

thf(183,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cong @ A @ B @ C @ D )
         => ( cong @ C @ D @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[141]) ).

thf(184,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( cong @ A @ B @ C @ D )
            & ( cong @ C @ D @ E @ F ) )
         => ( cong @ A @ B @ E @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[140]) ).

thf(185,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)],[139]) ).

thf(186,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)],[138]) ).

thf(187,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)],[137]) ).

thf(188,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)],[136]) ).

thf(189,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)],[135]) ).

thf(190,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( cyclic @ A @ B @ C @ P )
            & ( cyclic @ A @ B @ C @ Q )
            & ( cyclic @ A @ B @ C @ R )
            & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
         => ( cong @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[134]) ).

thf(191,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ( ( midp @ E @ A @ B )
            & ( midp @ F @ A @ C ) )
         => ( para @ E @ F @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(192,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ( ( midp @ E @ A @ B )
            & ( para @ E @ F @ B @ C )
            & ( coll @ F @ A @ C ) )
         => ( midp @ F @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(193,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)],[131]) ).

thf(194,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)],[130]) ).

thf(195,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( midp @ M @ B @ C ) )
         => ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) ) )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(196,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( coll @ M @ B @ C )
            & ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) )
         => ( midp @ M @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(197,plain,
    ( ( ! [A: $i,B: $i,C: $i,M: $i] :
          ( ( ( perp @ A @ B @ B @ C )
            & ( midp @ M @ A @ C ) )
         => ( cong @ A @ M @ B @ M ) ) )
    = $true ),
    inference(copy,[status(thm)],[127]) ).

thf(198,plain,
    ( ( ! [A: $i,B: $i,M: $i,O: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( perp @ O @ M @ A @ B ) )
         => ( cong @ O @ A @ O @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[126]) ).

thf(199,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)],[125]) ).

thf(200,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)],[124]) ).

thf(201,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)],[123]) ).

thf(202,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( contri @ A @ B @ C @ P @ Q @ R )
         => ( cong @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(203,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ M @ C @ D ) )
         => ( para @ A @ C @ B @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(204,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( para @ A @ C @ B @ D )
            & ( para @ A @ D @ B @ C ) )
         => ( midp @ M @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(205,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(206,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( ( cong @ A @ B @ A @ C )
            & ( coll @ A @ B @ C ) )
         => ( midp @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(207,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(208,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(209,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ N @ C @ D ) )
         => ( eqratio @ M @ A @ A @ B @ N @ C @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(210,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)],[114]) ).

thf(211,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)],[113]) ).

thf(212,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( cong @ P @ Q @ U @ V ) )
         => ( cong @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(213,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)],[111]) ).

thf(214,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)],[110]) ).

thf(215,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)],[109]) ).

thf(216,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)],[108]) ).

thf(217,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)],[107]) ).

thf(218,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
        ? [P: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ N @ C @ D ) )
         => ( ( midp @ P @ A @ D )
            & ( para @ P @ M @ B @ D )
            & ( para @ P @ N @ A @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(219,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)],[105]) ).

thf(220,plain,
    ( ( ! [A: $i,B: $i,M: $i,P: $i,Q: $i,R: $i,M: $i] :
        ? [X: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( para @ A @ P @ R @ M )
            & ( para @ A @ P @ B @ Q )
            & ( coll @ P @ Q @ R ) )
         => ( ( coll @ X @ A @ Q )
            & ( coll @ X @ M @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(221,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(222,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
        ? [P: $i,Q: $i] :
          ( ( ( circle @ M @ A @ B @ C )
            & ( cong @ M @ A @ M @ D )
            & ( cong @ N @ A @ N @ B )
            & ( M != N ) )
         => ( ( coll @ P @ A @ C )
            & ( cong @ P @ N @ N @ A )
            & ( coll @ Q @ B @ D )
            & ( cong @ Q @ N @ N @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(223,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(224,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(225,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(226,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(227,plain,
    ( ( coll @ sK8_SY339 @ sK4_SY325 @ sK5_SY330 )
    = $true ),
    inference(copy,[status(thm)],[168]) ).

thf(228,plain,
    ( ( coll @ sK8_SY339 @ sK2_SY312 @ sK7_SY337 )
    = $true ),
    inference(copy,[status(thm)],[167]) ).

thf(229,plain,
    ( ( coll @ sK7_SY337 @ sK4_SY325 @ sK6_SY334 )
    = $true ),
    inference(copy,[status(thm)],[166]) ).

thf(230,plain,
    ( ( eqangle @ sK7_SY337 @ sK2_SY312 @ sK2_SY312 @ sK3_SY319 @ sK7_SY337 @ sK2_SY312 @ sK2_SY312 @ sK1_A )
    = $true ),
    inference(copy,[status(thm)],[165]) ).

thf(231,plain,
    ( ( midp @ sK6_SY334 @ sK1_A @ sK2_SY312 )
    = $true ),
    inference(copy,[status(thm)],[164]) ).

thf(232,plain,
    ( ( midp @ sK5_SY330 @ sK2_SY312 @ sK3_SY319 )
    = $true ),
    inference(copy,[status(thm)],[163]) ).

thf(233,plain,
    ( ( midp @ sK4_SY325 @ sK3_SY319 @ sK1_A )
    = $true ),
    inference(copy,[status(thm)],[162]) ).

thf(234,plain,
    ( ( ~ ( cong @ sK4_SY325 @ sK7_SY337 @ sK4_SY325 @ sK8_SY339 ) )
    = $true ),
    inference(copy,[status(thm)],[170]) ).

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 @ SX1 @ SX0 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(236,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( midp @ SX2 @ SX0 @ SX1 )
                | ~ ( perp @ SX3 @ SX2 @ SX0 @ SX1 ) )
          | ( cong @ SX3 @ SX0 @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(237,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ~ ! [SX6: $i] :
              ~ ( ~ ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
                      | ~ ( midp @ SX5 @ SX2 @ SX3 ) )
                | ~ ( ~ ~ ( ~ ( midp @ SX6 @ SX0 @ SX3 )
                          | ~ ( para @ SX6 @ SX4 @ SX1 @ SX3 ) )
                    | ~ ( para @ SX6 @ SX5 @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(238,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ( midp @ SX3 @ SX0 @ SX1 )
                | ~ ( midp @ SX4 @ SX0 @ SX2 ) )
          | ( para @ SX3 @ SX4 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

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)],[173]) ).

thf(240,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)],[178]) ).

thf(241,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)],[223]) ).

thf(242,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                      | ~ ( coll @ SX4 @ SX1 @ SX2 ) )
                | ~ ( eqangle @ SX0 @ SX1 @ SX0 @ SX2 @ SX3 @ SX1 @ SX3 @ SX4 ) )
          | ( midp @ SX4 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[196]) ).

thf(243,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)],[193]) ).

thf(244,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)],[210]) ).

thf(245,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
          ~ ! [SX7: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SX6 @ SX0 @ SX1 )
                                  | ~ ( para @ SX0 @ SX3 @ SX5 @ SX6 ) )
                            | ~ ( para @ SX0 @ SX3 @ SX1 @ SX4 ) )
                      | ~ ( coll @ SX3 @ SX4 @ SX5 ) )
                | ~ ( ~ ( coll @ SX7 @ SX0 @ SX4 )
                    | ~ ( coll @ SX7 @ SX6 @ SX5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(246,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ( contri @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
          | ( cong @ SX0 @ SX1 @ SX3 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(247,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)],[214]) ).

thf(248,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( perp @ SX0 @ SX1 @ SX1 @ SX2 )
                | ~ ( midp @ SX3 @ SX0 @ SX2 ) )
          | ( cong @ SX0 @ SX3 @ SX1 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(249,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 )
                            | ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX4 ) )
                      | ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX5 ) )
                | ~ ( eqangle @ SX2 @ SX0 @ SX2 @ SX1 @ SX5 @ SX3 @ SX5 @ SX4 ) )
          | ( cong @ SX0 @ SX1 @ SX3 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(250,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
                | ~ ( midp @ SX4 @ SX2 @ SX3 ) )
          | ( para @ SX0 @ SX2 @ SX1 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[203]) ).

thf(251,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)],[201]) ).

thf(252,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
                | ~ ( midp @ SX5 @ SX2 @ SX3 ) )
          | ( eqratio @ SX4 @ SX0 @ SX0 @ SX1 @ SX5 @ SX2 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(253,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)],[217]) ).

thf(254,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( cong @ SX0 @ SX1 @ SX0 @ SX2 )
                | ~ ( coll @ SX0 @ SX1 @ SX2 ) )
          | ( midp @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[206]) ).

thf(255,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)],[185]) ).

thf(256,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)],[200]) ).

thf(257,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)],[179]) ).

thf(258,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX2 @ SX1 @ SX0 )
          | ( midp @ SX2 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(259,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( cong @ SX0 @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(260,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)],[224]) ).

thf(261,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( cong @ SX3 @ SX0 @ SX3 @ SX1 )
                | ~ ( cong @ SX3 @ SX0 @ SX3 @ SX2 ) )
          | ( circle @ SX3 @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(262,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ( cong @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( cong @ SX2 @ SX3 @ SX4 @ SX5 ) )
          | ( cong @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(263,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ~ ! [SX6: $i] :
              ~ ~ ! [SX7: $i] :
                    ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SX4 @ SX0 @ SX1 @ SX2 )
                                        | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX3 ) )
                                  | ~ ( cong @ SX5 @ SX0 @ SX5 @ SX1 ) )
                            | ~ ( ( SX4 != SX5 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SX6 @ SX0 @ SX2 )
                                      | ~ ( cong @ SX6 @ SX5 @ SX5 @ SX0 ) )
                                | ~ ( coll @ SX7 @ SX1 @ SX3 ) )
                          | ~ ( cong @ SX7 @ SX5 @ SX5 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(264,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)],[215]) ).

thf(265,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(266,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( cong @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( cong @ SX2 @ SX3 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(267,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ~ ( ~ ( eqratio @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
                | ~ ( cong @ SX4 @ SX5 @ SX6 @ SX7 ) )
          | ( cong @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[212]) ).

thf(268,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)],[194]) ).

thf(269,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)],[187]) ).

thf(270,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(271,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)],[199]) ).

thf(272,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)],[226]) ).

thf(273,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(274,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)],[211]) ).

thf(275,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( midp @ SX3 @ SX0 @ SX1 )
                      | ~ ( para @ SX3 @ SX4 @ SX1 @ SX2 ) )
                | ~ ( coll @ SX4 @ SX0 @ SX2 ) )
          | ( midp @ SX4 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(276,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)],[186]) ).

thf(277,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( cong @ SX4 @ SX0 @ SX4 @ SX1 )
                      | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX2 ) )
                | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX3 ) )
          | ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(278,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)],[225]) ).

thf(279,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)],[181]) ).

thf(280,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)],[213]) ).

thf(281,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ~ ( midp @ SX4 @ SX1 @ SX2 ) )
          | ( eqangle @ SX0 @ SX1 @ SX0 @ SX2 @ SX3 @ SX1 @ SX3 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[195]) ).

thf(282,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
                      | ~ ( para @ SX0 @ SX2 @ SX1 @ SX3 ) )
                | ~ ( para @ SX0 @ SX3 @ SX1 @ SX2 ) )
          | ( midp @ SX4 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(283,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( para @ SX0 @ SX1 @ SX0 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(284,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)],[216]) ).

thf(285,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)],[180]) ).

thf(286,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)],[221]) ).

thf(287,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)],[189]) ).

thf(288,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)],[219]) ).

thf(289,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)],[188]) ).

thf(290,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( cong @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( cong @ SX0 @ SX1 @ SX3 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(291,plain,
    ( ( cong @ sK4_SY325 @ sK7_SY337 @ sK4_SY325 @ sK8_SY339 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[234]) ).

thf(292,plain,
    ! [SV1: $i] :
      ( ( ! [SY340: $i,SY341: $i,SY342: $i,SY343: $i,SY344: $i,SY345: $i,SY346: $i] :
            ( ~ ( eqangle @ SV1 @ SY340 @ SY341 @ SY342 @ SY343 @ SY344 @ SY345 @ SY346 )
            | ( eqangle @ SY340 @ SV1 @ SY341 @ SY342 @ SY343 @ SY344 @ SY345 @ SY346 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(293,plain,
    ! [SV2: $i] :
      ( ( ! [SY347: $i,SY348: $i,SY349: $i] :
            ( ~ ~ ( ~ ( midp @ SY348 @ SV2 @ SY347 )
                  | ~ ( perp @ SY349 @ SY348 @ SV2 @ SY347 ) )
            | ( cong @ SY349 @ SV2 @ SY349 @ SY347 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(294,plain,
    ! [SV3: $i] :
      ( ( ! [SY350: $i,SY351: $i,SY352: $i,SY353: $i,SY354: $i] :
            ~ ! [SY355: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY353 @ SV3 @ SY350 )
                        | ~ ( midp @ SY354 @ SY351 @ SY352 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY355 @ SV3 @ SY352 )
                            | ~ ( para @ SY355 @ SY353 @ SY350 @ SY352 ) )
                      | ~ ( para @ SY355 @ SY354 @ SV3 @ SY351 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(295,plain,
    ! [SV4: $i] :
      ( ( ! [SY356: $i,SY357: $i,SY358: $i,SY359: $i] :
            ( ~ ~ ( ~ ( midp @ SY358 @ SV4 @ SY356 )
                  | ~ ( midp @ SY359 @ SV4 @ SY357 ) )
            | ( para @ SY358 @ SY359 @ SY356 @ SY357 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(296,plain,
    ! [SV5: $i] :
      ( ( ! [SY360: $i,SY361: $i,SY362: $i] :
            ( ~ ~ ( ~ ( coll @ SV5 @ SY360 @ SY361 )
                  | ~ ( coll @ SV5 @ SY360 @ SY362 ) )
            | ( coll @ SY361 @ SY362 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(297,plain,
    ! [SV6: $i] :
      ( ( ! [SY363: $i,SY364: $i,SY365: $i,SY366: $i,SY367: $i,SY368: $i,SY369: $i] :
            ( ~ ( eqangle @ SV6 @ SY363 @ SY364 @ SY365 @ SY366 @ SY367 @ SY368 @ SY369 )
            | ( eqangle @ SY364 @ SY365 @ SV6 @ SY363 @ SY368 @ SY369 @ SY366 @ SY367 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(298,plain,
    ! [SV7: $i] :
      ( ( ! [SY370: $i,SY371: $i,SY372: $i,SY373: $i] :
            ~ ! [SY374: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV7 @ SY371 @ SY371 @ SY370 )
                        | ~ ( coll @ SY370 @ SY372 @ SY373 ) )
                  | ~ ( ~ ( coll @ SY374 @ SY372 @ SY373 )
                      | ~ ( perp @ SY374 @ SV7 @ SY372 @ SY373 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(299,plain,
    ! [SV8: $i] :
      ( ( ! [SY375: $i,SY376: $i,SY377: $i,SY378: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY377 @ SV8 @ SY375 @ SY376 )
                        | ~ ( coll @ SY378 @ SY375 @ SY376 ) )
                  | ~ ( eqangle @ SV8 @ SY375 @ SV8 @ SY376 @ SY377 @ SY375 @ SY377 @ SY378 ) )
            | ( midp @ SY378 @ SY375 @ SY376 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(300,plain,
    ! [SV9: $i] :
      ( ( ! [SY379: $i,SY380: $i] :
            ( ~ ( cong @ SY380 @ SV9 @ SY380 @ SY379 )
            | ( eqangle @ SY380 @ SV9 @ SV9 @ SY379 @ SV9 @ SY379 @ SY380 @ SY379 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(301,plain,
    ! [SV10: $i] :
      ( ( ! [SY381: $i,SY382: $i,SY383: $i,SY384: $i,SY385: $i,SY386: $i,SY387: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV10 @ SY381 @ SY382 @ SY383 @ SY384 @ SY385 @ SY386 @ SY387 )
                  | ~ ( para @ SY384 @ SY385 @ SY386 @ SY387 ) )
            | ( para @ SV10 @ SY381 @ SY382 @ SY383 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(302,plain,
    ! [SV11: $i] :
      ( ( ! [SY388: $i,SY389: $i,SY390: $i,SY391: $i,SY392: $i,SY393: $i] :
            ~ ! [SY394: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY393 @ SV11 @ SY388 )
                                    | ~ ( para @ SV11 @ SY390 @ SY392 @ SY393 ) )
                              | ~ ( para @ SV11 @ SY390 @ SY388 @ SY391 ) )
                        | ~ ( coll @ SY390 @ SY391 @ SY392 ) )
                  | ~ ( ~ ( coll @ SY394 @ SV11 @ SY391 )
                      | ~ ( coll @ SY394 @ SY393 @ SY392 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(303,plain,
    ! [SV12: $i] :
      ( ( ! [SY395: $i,SY396: $i,SY397: $i,SY398: $i,SY399: $i] :
            ( ~ ( contri @ SV12 @ SY395 @ SY396 @ SY397 @ SY398 @ SY399 )
            | ( cong @ SV12 @ SY395 @ SY397 @ SY398 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(304,plain,
    ! [SV13: $i] :
      ( ( ! [SY400: $i,SY401: $i,SY402: $i] :
            ~ ! [SY403: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY401 @ SV13 @ SY401 @ SY400 )
                        | ~ ( eqangle @ SV13 @ SY401 @ SY401 @ SY402 @ SY401 @ SY402 @ SY401 @ SY400 ) )
                  | ~ ( ~ ( coll @ SY400 @ SV13 @ SY403 )
                      | ~ ( coll @ SY403 @ SY401 @ SY402 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(305,plain,
    ! [SV14: $i] :
      ( ( ! [SY404: $i,SY405: $i,SY406: $i] :
            ( ~ ~ ( ~ ( perp @ SV14 @ SY404 @ SY404 @ SY405 )
                  | ~ ( midp @ SY406 @ SV14 @ SY405 ) )
            | ( cong @ SV14 @ SY406 @ SY404 @ SY406 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(306,plain,
    ! [SV15: $i] :
      ( ( ! [SY407: $i,SY408: $i,SY409: $i,SY410: $i,SY411: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SY407 @ SY408 @ SY409 )
                              | ~ ( cyclic @ SV15 @ SY407 @ SY408 @ SY410 ) )
                        | ~ ( cyclic @ SV15 @ SY407 @ SY408 @ SY411 ) )
                  | ~ ( eqangle @ SY408 @ SV15 @ SY408 @ SY407 @ SY411 @ SY409 @ SY411 @ SY410 ) )
            | ( cong @ SV15 @ SY407 @ SY409 @ SY410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(307,plain,
    ! [SV16: $i] :
      ( ( ! [SY412: $i,SY413: $i,SY414: $i,SY415: $i] :
            ( ~ ~ ( ~ ( midp @ SY415 @ SV16 @ SY412 )
                  | ~ ( midp @ SY415 @ SY413 @ SY414 ) )
            | ( para @ SV16 @ SY413 @ SY412 @ SY414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(308,plain,
    ! [SV17: $i] :
      ( ( ! [SY416: $i,SY417: $i,SY418: $i,SY419: $i,SY420: $i] :
            ( ~ ( simtri @ SV17 @ SY416 @ SY417 @ SY418 @ SY419 @ SY420 )
            | ( eqangle @ SV17 @ SY416 @ SY416 @ SY417 @ SY418 @ SY419 @ SY419 @ SY420 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(309,plain,
    ! [SV18: $i] :
      ( ( ! [SY421: $i,SY422: $i,SY423: $i,SY424: $i,SY425: $i] :
            ( ~ ~ ( ~ ( midp @ SY424 @ SV18 @ SY421 )
                  | ~ ( midp @ SY425 @ SY422 @ SY423 ) )
            | ( eqratio @ SY424 @ SV18 @ SV18 @ SY421 @ SY425 @ SY422 @ SY422 @ SY423 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(310,plain,
    ! [SV19: $i] :
      ( ( ! [SY426: $i,SY427: $i,SY428: $i,SY429: $i] :
            ~ ! [SY430: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV19 @ SY427 @ SY426 @ SY427 @ SV19 @ SY428 @ SY426 @ SY429 )
                        | ~ ~ ( coll @ SV19 @ SY426 @ SY427 ) )
                  | ~ ( ~ ( eqangle @ SV19 @ SY427 @ SY426 @ SY427 @ SV19 @ SY430 @ SY426 @ SY430 )
                      | ~ ( cyclic @ SY428 @ SY426 @ SY427 @ SY430 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(311,plain,
    ! [SV20: $i] :
      ( ( ! [SY431: $i,SY432: $i] :
            ( ~ ~ ( ~ ( cong @ SV20 @ SY431 @ SV20 @ SY432 )
                  | ~ ( coll @ SV20 @ SY431 @ SY432 ) )
            | ( midp @ SV20 @ SY431 @ SY432 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(312,plain,
    ! [SV21: $i] :
      ( ( ! [SY433: $i,SY434: $i,SY435: $i,SY436: $i,SY437: $i] :
            ( ~ ( eqangle @ SV21 @ SY433 @ SY436 @ SY437 @ SY434 @ SY435 @ SY436 @ SY437 )
            | ( para @ SV21 @ SY433 @ SY434 @ SY435 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(313,plain,
    ! [SV22: $i] :
      ( ( ! [SY438: $i,SY439: $i,SY440: $i,SY441: $i,SY442: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV22 @ SY438 @ SY438 @ SY439 @ SY440 @ SY441 @ SY441 @ SY442 )
                        | ~ ( eqangle @ SV22 @ SY439 @ SY438 @ SY439 @ SY440 @ SY442 @ SY441 @ SY442 ) )
                  | ~ ~ ( coll @ SV22 @ SY438 @ SY439 ) )
            | ( simtri @ SV22 @ SY438 @ SY439 @ SY440 @ SY441 @ SY442 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(314,plain,
    ! [SV23: $i] :
      ( ( ! [SY443: $i,SY444: $i,SY445: $i,SY446: $i,SY447: $i,SY448: $i,SY449: $i] :
            ( ~ ( eqangle @ SV23 @ SY443 @ SY444 @ SY445 @ SY446 @ SY447 @ SY448 @ SY449 )
            | ( eqangle @ SY446 @ SY447 @ SY448 @ SY449 @ SV23 @ SY443 @ SY444 @ SY445 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(315,plain,
    ! [SV24: $i] :
      ( ( ! [SY450: $i,SY451: $i] :
            ( ~ ( midp @ SY451 @ SY450 @ SV24 )
            | ( midp @ SY451 @ SV24 @ SY450 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(316,plain,
    ! [SV25: $i] :
      ( ( ! [SY452: $i,SY453: $i] :
            ( ~ ( midp @ SV25 @ SY452 @ SY453 )
            | ( cong @ SV25 @ SY452 @ SV25 @ SY453 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(317,plain,
    ! [SV26: $i] :
      ( ( ! [SY454: $i,SY455: $i,SY456: $i,SY457: $i] :
            ~ ! [SY458: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SY454 @ SV26 @ SY455 )
                              | ~ ( perp @ SY455 @ SV26 @ SY455 @ SY456 ) )
                        | ~ ( midp @ SY457 @ SY454 @ SY456 ) )
                  | ( midp @ SY458 @ SV26 @ SY455 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(318,plain,
    ! [SV27: $i] :
      ( ( ! [SY459: $i,SY460: $i,SY461: $i] :
            ( ~ ~ ( ~ ( cong @ SY461 @ SV27 @ SY461 @ SY459 )
                  | ~ ( cong @ SY461 @ SV27 @ SY461 @ SY460 ) )
            | ( circle @ SY461 @ SV27 @ SY459 @ SY460 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(319,plain,
    ! [SV28: $i] :
      ( ( ! [SY462: $i,SY463: $i,SY464: $i,SY465: $i,SY466: $i] :
            ( ~ ~ ( ~ ( cong @ SV28 @ SY462 @ SY463 @ SY464 )
                  | ~ ( cong @ SY463 @ SY464 @ SY465 @ SY466 ) )
            | ( cong @ SV28 @ SY462 @ SY465 @ SY466 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(320,plain,
    ! [SV29: $i] :
      ( ( ! [SY467: $i,SY468: $i,SY469: $i,SY470: $i,SY471: $i] :
            ~ ! [SY472: $i] :
                ~ ~ ! [SY473: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY470 @ SV29 @ SY467 @ SY468 )
                                          | ~ ( cong @ SY470 @ SV29 @ SY470 @ SY469 ) )
                                    | ~ ( cong @ SY471 @ SV29 @ SY471 @ SY467 ) )
                              | ~ ( ( SY470 != SY471 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY472 @ SV29 @ SY468 )
                                        | ~ ( cong @ SY472 @ SY471 @ SY471 @ SV29 ) )
                                  | ~ ( coll @ SY473 @ SY467 @ SY469 ) )
                            | ~ ( cong @ SY473 @ SY471 @ SY471 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(321,plain,
    ! [SV30: $i] :
      ( ( ! [SY474: $i,SY475: $i,SY476: $i] :
            ~ ! [SY477: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY475 @ SY476 @ SV30 @ SY474 )
                        | ~ ( eqangle @ SV30 @ SY475 @ SY475 @ SY476 @ SY475 @ SY476 @ SY475 @ SY474 ) )
                  | ~ ( ~ ( coll @ SY474 @ SV30 @ SY477 )
                      | ~ ( coll @ SY477 @ SY475 @ SY476 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(322,plain,
    ! [SV31: $i] :
      ( ( ! [SY478: $i,SY479: $i] :
            ( ~ ( coll @ SV31 @ SY478 @ SY479 )
            | ( coll @ SV31 @ SY479 @ SY478 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(323,plain,
    ! [SV32: $i] :
      ( ( ! [SY480: $i,SY481: $i,SY482: $i] :
            ( ~ ( cong @ SV32 @ SY480 @ SY481 @ SY482 )
            | ( cong @ SY481 @ SY482 @ SV32 @ SY480 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(324,plain,
    ! [SV33: $i] :
      ( ( ! [SY483: $i,SY484: $i,SY485: $i,SY486: $i,SY487: $i,SY488: $i,SY489: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV33 @ SY483 @ SY484 @ SY485 @ SY486 @ SY487 @ SY488 @ SY489 )
                  | ~ ( cong @ SY486 @ SY487 @ SY488 @ SY489 ) )
            | ( cong @ SV33 @ SY483 @ SY484 @ SY485 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(325,plain,
    ! [SV34: $i] :
      ( ( ! [SY490: $i,SY491: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY491 @ SV34 @ SV34 @ SY490 @ SV34 @ SY490 @ SY491 @ SY490 )
                  | ~ ~ ( coll @ SY491 @ SV34 @ SY490 ) )
            | ( cong @ SY491 @ SV34 @ SY491 @ SY490 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(326,plain,
    ! [SV35: $i] :
      ( ( ! [SY492: $i,SY493: $i,SY494: $i] :
            ( ~ ( cyclic @ SV35 @ SY492 @ SY493 @ SY494 )
            | ( eqangle @ SY493 @ SV35 @ SY493 @ SY492 @ SY494 @ SV35 @ SY494 @ SY492 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(327,plain,
    ! [SV36: $i] :
      ( ( ! [SY495: $i,SY496: $i] :
            ( ~ ( midp @ SV36 @ SY495 @ SY496 )
            | ( coll @ SV36 @ SY495 @ SY496 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(328,plain,
    ! [SV37: $i] :
      ( ( ! [SY497: $i,SY498: $i,SY499: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SY498 @ SY497 @ SY498 )
                  | ~ ( cong @ SV37 @ SY499 @ SY497 @ SY499 ) )
            | ( perp @ SV37 @ SY497 @ SY498 @ SY499 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(329,plain,
    ! [SV38: $i] :
      ( ( ! [SY500: $i,SY501: $i,SY502: $i,SY503: $i,SY504: $i] :
            ~ ! [SY505: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SY500 @ SY501 @ SY502 )
                                    | ~ ( coll @ SY503 @ SV38 @ SY501 ) )
                              | ~ ( coll @ SY503 @ SY500 @ SY502 ) )
                        | ~ ( coll @ SY504 @ SV38 @ SY500 ) )
                  | ~ ( ~ ( coll @ SY503 @ SY504 @ SY505 )
                      | ~ ( coll @ SY505 @ SY501 @ SY502 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(330,plain,
    ! [SV39: $i] :
      ( ( ! [SY506: $i,SY507: $i] :
            ( ~ ( coll @ SV39 @ SY506 @ SY507 )
            | ( coll @ SY506 @ SV39 @ SY507 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(331,plain,
    ! [SV40: $i] :
      ( ( ! [SY508: $i,SY509: $i,SY510: $i,SY511: $i,SY512: $i,SY513: $i,SY514: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV40 @ SY508 @ SY509 @ SY510 @ SY511 @ SY512 @ SY513 @ SY514 )
                  | ~ ( perp @ SY511 @ SY512 @ SY513 @ SY514 ) )
            | ( perp @ SV40 @ SY508 @ SY509 @ SY510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(332,plain,
    ! [SV41: $i] :
      ( ( ! [SY515: $i,SY516: $i,SY517: $i,SY518: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY517 @ SV41 @ SY515 )
                        | ~ ( para @ SY517 @ SY518 @ SY515 @ SY516 ) )
                  | ~ ( coll @ SY518 @ SV41 @ SY516 ) )
            | ( midp @ SY518 @ SV41 @ SY516 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(333,plain,
    ! [SV42: $i] :
      ( ( ! [SY519: $i,SY520: $i,SY521: $i,SY522: $i,SY523: $i] :
            ( ~ ( para @ SV42 @ SY519 @ SY520 @ SY521 )
            | ( eqangle @ SV42 @ SY519 @ SY522 @ SY523 @ SY520 @ SY521 @ SY522 @ SY523 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(334,plain,
    ! [SV43: $i] :
      ( ( ! [SY524: $i,SY525: $i,SY526: $i,SY527: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SY527 @ SV43 @ SY527 @ SY524 )
                        | ~ ( cong @ SY527 @ SV43 @ SY527 @ SY525 ) )
                  | ~ ( cong @ SY527 @ SV43 @ SY527 @ SY526 ) )
            | ( cyclic @ SV43 @ SY524 @ SY525 @ SY526 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(335,plain,
    ! [SV44: $i] :
      ( ( ! [SY528: $i,SY529: $i] :
            ~ ! [SY530: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY529 @ SV44 @ SY529 @ SY528 )
                        | ~ ( perp @ SV44 @ SY529 @ SY529 @ SY528 ) )
                  | ~ ( ~ ( coll @ SV44 @ SY529 @ SY530 )
                      | ~ ( cong @ SY529 @ SV44 @ SY529 @ SY530 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(336,plain,
    ! [SV45: $i] :
      ( ( ! [SY531: $i,SY532: $i,SY533: $i,SY534: $i,SY535: $i,SY536: $i,SY537: $i,SY538: $i,SY539: $i,SY540: $i,SY541: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SY531 @ SY532 @ SY533 @ SY534 @ SY535 @ SY536 @ SY537 )
                  | ~ ( eqangle @ SY534 @ SY535 @ SY536 @ SY537 @ SY538 @ SY539 @ SY540 @ SY541 ) )
            | ( eqangle @ SV45 @ SY531 @ SY532 @ SY533 @ SY538 @ SY539 @ SY540 @ SY541 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(337,plain,
    ! [SV46: $i] :
      ( ( ! [SY542: $i,SY543: $i,SY544: $i] :
            ~ ! [SY545: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY543 @ SY542 @ SY542 @ SV46 )
                        | ~ ( eqangle @ SY544 @ SY543 @ SY542 @ SY543 @ SY542 @ SY543 @ SV46 @ SY543 ) )
                  | ~ ( ~ ( coll @ SY545 @ SV46 @ SY542 )
                      | ~ ( coll @ SY545 @ SY543 @ SY544 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(338,plain,
    ! [SV47: $i] :
      ( ( ! [SY546: $i,SY547: $i,SY548: $i,SY549: $i] :
            ( ~ ~ ( ~ ( circle @ SY548 @ SV47 @ SY546 @ SY547 )
                  | ~ ( midp @ SY549 @ SY546 @ SY547 ) )
            | ( eqangle @ SV47 @ SY546 @ SV47 @ SY547 @ SY548 @ SY546 @ SY548 @ SY549 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(339,plain,
    ! [SV48: $i] :
      ( ( ! [SY550: $i,SY551: $i,SY552: $i,SY553: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY553 @ SV48 @ SY550 )
                        | ~ ( para @ SV48 @ SY551 @ SY550 @ SY552 ) )
                  | ~ ( para @ SV48 @ SY552 @ SY550 @ SY551 ) )
            | ( midp @ SY553 @ SY551 @ SY552 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(340,plain,
    ! [SV49: $i] :
      ( ( ! [SY554: $i,SY555: $i] :
            ( ~ ( para @ SV49 @ SY554 @ SV49 @ SY555 )
            | ( coll @ SV49 @ SY554 @ SY555 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(341,plain,
    ! [SV50: $i] :
      ( ( ! [SY556: $i,SY557: $i,SY558: $i] :
            ~ ! [SY559: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY557 @ SY558 @ SV50 @ SY556 )
                        | ~ ( cong @ SY557 @ SV50 @ SY557 @ SY556 ) )
                  | ~ ( ~ ( coll @ SY556 @ SV50 @ SY559 )
                      | ~ ( coll @ SY559 @ SY557 @ SY558 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(342,plain,
    ! [SV51: $i] :
      ( ( ! [SY560: $i,SY561: $i,SY562: $i,SY563: $i,SY564: $i,SY565: $i,SY566: $i] :
            ( ~ ( eqangle @ SV51 @ SY560 @ SY561 @ SY562 @ SY563 @ SY564 @ SY565 @ SY566 )
            | ( eqangle @ SV51 @ SY560 @ SY563 @ SY564 @ SY561 @ SY562 @ SY565 @ SY566 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(343,plain,
    ! [SV52: $i] :
      ( ( ! [SY567: $i,SY568: $i,SY569: $i] :
            ~ ! [SY570: $i] :
                ~ ~ ! [SY571: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV52 @ SY569 @ SY567 @ SY568 )
                              | ~ ( perp @ SY567 @ SY569 @ SV52 @ SY568 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY570 @ SY568 @ SY567 )
                                        | ~ ( perp @ SV52 @ SY570 @ SY568 @ SY567 ) )
                                  | ~ ( coll @ SY571 @ SY568 @ SV52 ) )
                            | ~ ( perp @ SY567 @ SY571 @ SY568 @ SV52 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(344,plain,
    ! [SV53: $i] :
      ( ( ! [SY572: $i,SY573: $i,SY574: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY573 @ SV53 @ SY573 @ SY572 @ SY574 @ SV53 @ SY574 @ SY572 )
                  | ~ ( coll @ SY573 @ SY574 @ SY572 ) )
            | ( cyclic @ SV53 @ SY572 @ SY573 @ SY574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(345,plain,
    ! [SV54: $i] :
      ( ( ! [SY575: $i,SY576: $i,SY577: $i,SY578: $i,SY579: $i,SY580: $i] :
            ~ ! [SY581: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY578 @ SV54 @ SY575 )
                                    | ~ ( midp @ SY579 @ SY576 @ SY577 ) )
                              | ~ ( coll @ SY576 @ SV54 @ SY575 ) )
                        | ~ ( coll @ SY577 @ SV54 @ SY575 ) )
                  | ( midp @ SY581 @ SV54 @ SY580 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(346,plain,
    ! [SV55: $i] :
      ( ( ! [SY582: $i,SY583: $i,SY584: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY583 @ SV55 @ SY583 @ SY582 @ SY584 @ SV55 @ SY584 @ SY582 )
                  | ~ ~ ( coll @ SY583 @ SY584 @ SV55 ) )
            | ( cyclic @ SV55 @ SY582 @ SY583 @ SY584 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(347,plain,
    ! [SV56: $i] :
      ( ( ! [SY585: $i,SY586: $i,SY587: $i] :
            ( ~ ( cong @ SV56 @ SY585 @ SY586 @ SY587 )
            | ( cong @ SV56 @ SY585 @ SY587 @ SY586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(348,plain,
    ! [SV57: $i,SV1: $i] :
      ( ( ! [SY588: $i,SY589: $i,SY590: $i,SY591: $i,SY592: $i,SY593: $i] :
            ( ~ ( eqangle @ SV1 @ SV57 @ SY588 @ SY589 @ SY590 @ SY591 @ SY592 @ SY593 )
            | ( eqangle @ SV57 @ SV1 @ SY588 @ SY589 @ SY590 @ SY591 @ SY592 @ SY593 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(349,plain,
    ! [SV58: $i,SV2: $i] :
      ( ( ! [SY594: $i,SY595: $i] :
            ( ~ ~ ( ~ ( midp @ SY594 @ SV2 @ SV58 )
                  | ~ ( perp @ SY595 @ SY594 @ SV2 @ SV58 ) )
            | ( cong @ SY595 @ SV2 @ SY595 @ SV58 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(350,plain,
    ! [SV59: $i,SV3: $i] :
      ( ( ! [SY596: $i,SY597: $i,SY598: $i,SY599: $i] :
            ~ ! [SY600: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY598 @ SV3 @ SV59 )
                        | ~ ( midp @ SY599 @ SY596 @ SY597 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY600 @ SV3 @ SY597 )
                            | ~ ( para @ SY600 @ SY598 @ SV59 @ SY597 ) )
                      | ~ ( para @ SY600 @ SY599 @ SV3 @ SY596 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(351,plain,
    ! [SV60: $i,SV4: $i] :
      ( ( ! [SY601: $i,SY602: $i,SY603: $i] :
            ( ~ ~ ( ~ ( midp @ SY602 @ SV4 @ SV60 )
                  | ~ ( midp @ SY603 @ SV4 @ SY601 ) )
            | ( para @ SY602 @ SY603 @ SV60 @ SY601 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(352,plain,
    ! [SV61: $i,SV5: $i] :
      ( ( ! [SY604: $i,SY605: $i] :
            ( ~ ~ ( ~ ( coll @ SV5 @ SV61 @ SY604 )
                  | ~ ( coll @ SV5 @ SV61 @ SY605 ) )
            | ( coll @ SY604 @ SY605 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(353,plain,
    ! [SV62: $i,SV6: $i] :
      ( ( ! [SY606: $i,SY607: $i,SY608: $i,SY609: $i,SY610: $i,SY611: $i] :
            ( ~ ( eqangle @ SV6 @ SV62 @ SY606 @ SY607 @ SY608 @ SY609 @ SY610 @ SY611 )
            | ( eqangle @ SY606 @ SY607 @ SV6 @ SV62 @ SY610 @ SY611 @ SY608 @ SY609 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[297]) ).

thf(354,plain,
    ! [SV63: $i,SV7: $i] :
      ( ( ! [SY612: $i,SY613: $i,SY614: $i] :
            ~ ! [SY615: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV7 @ SY612 @ SY612 @ SV63 )
                        | ~ ( coll @ SV63 @ SY613 @ SY614 ) )
                  | ~ ( ~ ( coll @ SY615 @ SY613 @ SY614 )
                      | ~ ( perp @ SY615 @ SV7 @ SY613 @ SY614 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(355,plain,
    ! [SV64: $i,SV8: $i] :
      ( ( ! [SY616: $i,SY617: $i,SY618: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY617 @ SV8 @ SV64 @ SY616 )
                        | ~ ( coll @ SY618 @ SV64 @ SY616 ) )
                  | ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SY616 @ SY617 @ SV64 @ SY617 @ SY618 ) )
            | ( midp @ SY618 @ SV64 @ SY616 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(356,plain,
    ! [SV65: $i,SV9: $i] :
      ( ( ! [SY619: $i] :
            ( ~ ( cong @ SY619 @ SV9 @ SY619 @ SV65 )
            | ( eqangle @ SY619 @ SV9 @ SV9 @ SV65 @ SV9 @ SV65 @ SY619 @ SV65 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(357,plain,
    ! [SV66: $i,SV10: $i] :
      ( ( ! [SY620: $i,SY621: $i,SY622: $i,SY623: $i,SY624: $i,SY625: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV10 @ SV66 @ SY620 @ SY621 @ SY622 @ SY623 @ SY624 @ SY625 )
                  | ~ ( para @ SY622 @ SY623 @ SY624 @ SY625 ) )
            | ( para @ SV10 @ SV66 @ SY620 @ SY621 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(358,plain,
    ! [SV67: $i,SV11: $i] :
      ( ( ! [SY626: $i,SY627: $i,SY628: $i,SY629: $i,SY630: $i] :
            ~ ! [SY631: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY630 @ SV11 @ SV67 )
                                    | ~ ( para @ SV11 @ SY627 @ SY629 @ SY630 ) )
                              | ~ ( para @ SV11 @ SY627 @ SV67 @ SY628 ) )
                        | ~ ( coll @ SY627 @ SY628 @ SY629 ) )
                  | ~ ( ~ ( coll @ SY631 @ SV11 @ SY628 )
                      | ~ ( coll @ SY631 @ SY630 @ SY629 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(359,plain,
    ! [SV68: $i,SV12: $i] :
      ( ( ! [SY632: $i,SY633: $i,SY634: $i,SY635: $i] :
            ( ~ ( contri @ SV12 @ SV68 @ SY632 @ SY633 @ SY634 @ SY635 )
            | ( cong @ SV12 @ SV68 @ SY633 @ SY634 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(360,plain,
    ! [SV69: $i,SV13: $i] :
      ( ( ! [SY636: $i,SY637: $i] :
            ~ ! [SY638: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY636 @ SV13 @ SY636 @ SV69 )
                        | ~ ( eqangle @ SV13 @ SY636 @ SY636 @ SY637 @ SY636 @ SY637 @ SY636 @ SV69 ) )
                  | ~ ( ~ ( coll @ SV69 @ SV13 @ SY638 )
                      | ~ ( coll @ SY638 @ SY636 @ SY637 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(361,plain,
    ! [SV70: $i,SV14: $i] :
      ( ( ! [SY639: $i,SY640: $i] :
            ( ~ ~ ( ~ ( perp @ SV14 @ SV70 @ SV70 @ SY639 )
                  | ~ ( midp @ SY640 @ SV14 @ SY639 ) )
            | ( cong @ SV14 @ SY640 @ SV70 @ SY640 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(362,plain,
    ! [SV71: $i,SV15: $i] :
      ( ( ! [SY641: $i,SY642: $i,SY643: $i,SY644: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SY641 @ SY642 )
                              | ~ ( cyclic @ SV15 @ SV71 @ SY641 @ SY643 ) )
                        | ~ ( cyclic @ SV15 @ SV71 @ SY641 @ SY644 ) )
                  | ~ ( eqangle @ SY641 @ SV15 @ SY641 @ SV71 @ SY644 @ SY642 @ SY644 @ SY643 ) )
            | ( cong @ SV15 @ SV71 @ SY642 @ SY643 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(363,plain,
    ! [SV72: $i,SV16: $i] :
      ( ( ! [SY645: $i,SY646: $i,SY647: $i] :
            ( ~ ~ ( ~ ( midp @ SY647 @ SV16 @ SV72 )
                  | ~ ( midp @ SY647 @ SY645 @ SY646 ) )
            | ( para @ SV16 @ SY645 @ SV72 @ SY646 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(364,plain,
    ! [SV73: $i,SV17: $i] :
      ( ( ! [SY648: $i,SY649: $i,SY650: $i,SY651: $i] :
            ( ~ ( simtri @ SV17 @ SV73 @ SY648 @ SY649 @ SY650 @ SY651 )
            | ( eqangle @ SV17 @ SV73 @ SV73 @ SY648 @ SY649 @ SY650 @ SY650 @ SY651 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(365,plain,
    ! [SV74: $i,SV18: $i] :
      ( ( ! [SY652: $i,SY653: $i,SY654: $i,SY655: $i] :
            ( ~ ~ ( ~ ( midp @ SY654 @ SV18 @ SV74 )
                  | ~ ( midp @ SY655 @ SY652 @ SY653 ) )
            | ( eqratio @ SY654 @ SV18 @ SV18 @ SV74 @ SY655 @ SY652 @ SY652 @ SY653 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(366,plain,
    ! [SV75: $i,SV19: $i] :
      ( ( ! [SY656: $i,SY657: $i,SY658: $i] :
            ~ ! [SY659: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV19 @ SY656 @ SV75 @ SY656 @ SV19 @ SY657 @ SV75 @ SY658 )
                        | ~ ~ ( coll @ SV19 @ SV75 @ SY656 ) )
                  | ~ ( ~ ( eqangle @ SV19 @ SY656 @ SV75 @ SY656 @ SV19 @ SY659 @ SV75 @ SY659 )
                      | ~ ( cyclic @ SY657 @ SV75 @ SY656 @ SY659 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(367,plain,
    ! [SV76: $i,SV20: $i] :
      ( ( ! [SY660: $i] :
            ( ~ ~ ( ~ ( cong @ SV20 @ SV76 @ SV20 @ SY660 )
                  | ~ ( coll @ SV20 @ SV76 @ SY660 ) )
            | ( midp @ SV20 @ SV76 @ SY660 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(368,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ! [SY661: $i,SY662: $i,SY663: $i,SY664: $i] :
            ( ~ ( eqangle @ SV21 @ SV77 @ SY663 @ SY664 @ SY661 @ SY662 @ SY663 @ SY664 )
            | ( para @ SV21 @ SV77 @ SY661 @ SY662 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(369,plain,
    ! [SV78: $i,SV22: $i] :
      ( ( ! [SY665: $i,SY666: $i,SY667: $i,SY668: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SY665 @ SY666 @ SY667 @ SY667 @ SY668 )
                        | ~ ( eqangle @ SV22 @ SY665 @ SV78 @ SY665 @ SY666 @ SY668 @ SY667 @ SY668 ) )
                  | ~ ~ ( coll @ SV22 @ SV78 @ SY665 ) )
            | ( simtri @ SV22 @ SV78 @ SY665 @ SY666 @ SY667 @ SY668 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(370,plain,
    ! [SV79: $i,SV23: $i] :
      ( ( ! [SY669: $i,SY670: $i,SY671: $i,SY672: $i,SY673: $i,SY674: $i] :
            ( ~ ( eqangle @ SV23 @ SV79 @ SY669 @ SY670 @ SY671 @ SY672 @ SY673 @ SY674 )
            | ( eqangle @ SY671 @ SY672 @ SY673 @ SY674 @ SV23 @ SV79 @ SY669 @ SY670 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(371,plain,
    ! [SV24: $i,SV80: $i] :
      ( ( ! [SY675: $i] :
            ( ~ ( midp @ SY675 @ SV80 @ SV24 )
            | ( midp @ SY675 @ SV24 @ SV80 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(372,plain,
    ! [SV81: $i,SV25: $i] :
      ( ( ! [SY676: $i] :
            ( ~ ( midp @ SV25 @ SV81 @ SY676 )
            | ( cong @ SV25 @ SV81 @ SV25 @ SY676 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(373,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ! [SY677: $i,SY678: $i,SY679: $i] :
            ~ ! [SY680: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SY677 )
                              | ~ ( perp @ SY677 @ SV26 @ SY677 @ SY678 ) )
                        | ~ ( midp @ SY679 @ SV82 @ SY678 ) )
                  | ( midp @ SY680 @ SV26 @ SY677 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(374,plain,
    ! [SV83: $i,SV27: $i] :
      ( ( ! [SY681: $i,SY682: $i] :
            ( ~ ~ ( ~ ( cong @ SY682 @ SV27 @ SY682 @ SV83 )
                  | ~ ( cong @ SY682 @ SV27 @ SY682 @ SY681 ) )
            | ( circle @ SY682 @ SV27 @ SV83 @ SY681 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(375,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ! [SY683: $i,SY684: $i,SY685: $i,SY686: $i] :
            ( ~ ~ ( ~ ( cong @ SV28 @ SV84 @ SY683 @ SY684 )
                  | ~ ( cong @ SY683 @ SY684 @ SY685 @ SY686 ) )
            | ( cong @ SV28 @ SV84 @ SY685 @ SY686 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(376,plain,
    ! [SV85: $i,SV29: $i] :
      ( ( ! [SY687: $i,SY688: $i,SY689: $i,SY690: $i] :
            ~ ! [SY691: $i] :
                ~ ~ ! [SY692: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY689 @ SV29 @ SV85 @ SY687 )
                                          | ~ ( cong @ SY689 @ SV29 @ SY689 @ SY688 ) )
                                    | ~ ( cong @ SY690 @ SV29 @ SY690 @ SV85 ) )
                              | ~ ( ( SY689 != SY690 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY691 @ SV29 @ SY687 )
                                        | ~ ( cong @ SY691 @ SY690 @ SY690 @ SV29 ) )
                                  | ~ ( coll @ SY692 @ SV85 @ SY688 ) )
                            | ~ ( cong @ SY692 @ SY690 @ SY690 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(377,plain,
    ! [SV86: $i,SV30: $i] :
      ( ( ! [SY693: $i,SY694: $i] :
            ~ ! [SY695: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY693 @ SY694 @ SV30 @ SV86 )
                        | ~ ( eqangle @ SV30 @ SY693 @ SY693 @ SY694 @ SY693 @ SY694 @ SY693 @ SV86 ) )
                  | ~ ( ~ ( coll @ SV86 @ SV30 @ SY695 )
                      | ~ ( coll @ SY695 @ SY693 @ SY694 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(378,plain,
    ! [SV87: $i,SV31: $i] :
      ( ( ! [SY696: $i] :
            ( ~ ( coll @ SV31 @ SV87 @ SY696 )
            | ( coll @ SV31 @ SY696 @ SV87 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(379,plain,
    ! [SV88: $i,SV32: $i] :
      ( ( ! [SY697: $i,SY698: $i] :
            ( ~ ( cong @ SV32 @ SV88 @ SY697 @ SY698 )
            | ( cong @ SY697 @ SY698 @ SV32 @ SV88 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(380,plain,
    ! [SV89: $i,SV33: $i] :
      ( ( ! [SY699: $i,SY700: $i,SY701: $i,SY702: $i,SY703: $i,SY704: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV33 @ SV89 @ SY699 @ SY700 @ SY701 @ SY702 @ SY703 @ SY704 )
                  | ~ ( cong @ SY701 @ SY702 @ SY703 @ SY704 ) )
            | ( cong @ SV33 @ SV89 @ SY699 @ SY700 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(381,plain,
    ! [SV90: $i,SV34: $i] :
      ( ( ! [SY705: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY705 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SY705 @ SV90 )
                  | ~ ~ ( coll @ SY705 @ SV34 @ SV90 ) )
            | ( cong @ SY705 @ SV34 @ SY705 @ SV90 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(382,plain,
    ! [SV91: $i,SV35: $i] :
      ( ( ! [SY706: $i,SY707: $i] :
            ( ~ ( cyclic @ SV35 @ SV91 @ SY706 @ SY707 )
            | ( eqangle @ SY706 @ SV35 @ SY706 @ SV91 @ SY707 @ SV35 @ SY707 @ SV91 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(383,plain,
    ! [SV92: $i,SV36: $i] :
      ( ( ! [SY708: $i] :
            ( ~ ( midp @ SV36 @ SV92 @ SY708 )
            | ( coll @ SV36 @ SV92 @ SY708 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(384,plain,
    ! [SV93: $i,SV37: $i] :
      ( ( ! [SY709: $i,SY710: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SY709 @ SV93 @ SY709 )
                  | ~ ( cong @ SV37 @ SY710 @ SV93 @ SY710 ) )
            | ( perp @ SV37 @ SV93 @ SY709 @ SY710 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(385,plain,
    ! [SV94: $i,SV38: $i] :
      ( ( ! [SY711: $i,SY712: $i,SY713: $i,SY714: $i] :
            ~ ! [SY715: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SY711 @ SY712 )
                                    | ~ ( coll @ SY713 @ SV38 @ SY711 ) )
                              | ~ ( coll @ SY713 @ SV94 @ SY712 ) )
                        | ~ ( coll @ SY714 @ SV38 @ SV94 ) )
                  | ~ ( ~ ( coll @ SY713 @ SY714 @ SY715 )
                      | ~ ( coll @ SY715 @ SY711 @ SY712 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(386,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ! [SY716: $i] :
            ( ~ ( coll @ SV39 @ SV95 @ SY716 )
            | ( coll @ SV95 @ SV39 @ SY716 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(387,plain,
    ! [SV96: $i,SV40: $i] :
      ( ( ! [SY717: $i,SY718: $i,SY719: $i,SY720: $i,SY721: $i,SY722: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV40 @ SV96 @ SY717 @ SY718 @ SY719 @ SY720 @ SY721 @ SY722 )
                  | ~ ( perp @ SY719 @ SY720 @ SY721 @ SY722 ) )
            | ( perp @ SV40 @ SV96 @ SY717 @ SY718 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(388,plain,
    ! [SV97: $i,SV41: $i] :
      ( ( ! [SY723: $i,SY724: $i,SY725: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY724 @ SV41 @ SV97 )
                        | ~ ( para @ SY724 @ SY725 @ SV97 @ SY723 ) )
                  | ~ ( coll @ SY725 @ SV41 @ SY723 ) )
            | ( midp @ SY725 @ SV41 @ SY723 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(389,plain,
    ! [SV98: $i,SV42: $i] :
      ( ( ! [SY726: $i,SY727: $i,SY728: $i,SY729: $i] :
            ( ~ ( para @ SV42 @ SV98 @ SY726 @ SY727 )
            | ( eqangle @ SV42 @ SV98 @ SY728 @ SY729 @ SY726 @ SY727 @ SY728 @ SY729 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(390,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ! [SY730: $i,SY731: $i,SY732: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SY732 @ SV43 @ SY732 @ SV99 )
                        | ~ ( cong @ SY732 @ SV43 @ SY732 @ SY730 ) )
                  | ~ ( cong @ SY732 @ SV43 @ SY732 @ SY731 ) )
            | ( cyclic @ SV43 @ SV99 @ SY730 @ SY731 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(391,plain,
    ! [SV100: $i,SV44: $i] :
      ( ( ! [SY733: $i] :
            ~ ! [SY734: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY733 @ SV44 @ SY733 @ SV100 )
                        | ~ ( perp @ SV44 @ SY733 @ SY733 @ SV100 ) )
                  | ~ ( ~ ( coll @ SV44 @ SY733 @ SY734 )
                      | ~ ( cong @ SY733 @ SV44 @ SY733 @ SY734 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(392,plain,
    ! [SV101: $i,SV45: $i] :
      ( ( ! [SY735: $i,SY736: $i,SY737: $i,SY738: $i,SY739: $i,SY740: $i,SY741: $i,SY742: $i,SY743: $i,SY744: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SY735 @ SY736 @ SY737 @ SY738 @ SY739 @ SY740 )
                  | ~ ( eqangle @ SY737 @ SY738 @ SY739 @ SY740 @ SY741 @ SY742 @ SY743 @ SY744 ) )
            | ( eqangle @ SV45 @ SV101 @ SY735 @ SY736 @ SY741 @ SY742 @ SY743 @ SY744 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(393,plain,
    ! [SV46: $i,SV102: $i] :
      ( ( ! [SY745: $i,SY746: $i] :
            ~ ! [SY747: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY745 @ SV102 @ SV102 @ SV46 )
                        | ~ ( eqangle @ SY746 @ SY745 @ SV102 @ SY745 @ SV102 @ SY745 @ SV46 @ SY745 ) )
                  | ~ ( ~ ( coll @ SY747 @ SV46 @ SV102 )
                      | ~ ( coll @ SY747 @ SY745 @ SY746 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(394,plain,
    ! [SV103: $i,SV47: $i] :
      ( ( ! [SY748: $i,SY749: $i,SY750: $i] :
            ( ~ ~ ( ~ ( circle @ SY749 @ SV47 @ SV103 @ SY748 )
                  | ~ ( midp @ SY750 @ SV103 @ SY748 ) )
            | ( eqangle @ SV47 @ SV103 @ SV47 @ SY748 @ SY749 @ SV103 @ SY749 @ SY750 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(395,plain,
    ! [SV104: $i,SV48: $i] :
      ( ( ! [SY751: $i,SY752: $i,SY753: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY753 @ SV48 @ SV104 )
                        | ~ ( para @ SV48 @ SY751 @ SV104 @ SY752 ) )
                  | ~ ( para @ SV48 @ SY752 @ SV104 @ SY751 ) )
            | ( midp @ SY753 @ SY751 @ SY752 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(396,plain,
    ! [SV105: $i,SV49: $i] :
      ( ( ! [SY754: $i] :
            ( ~ ( para @ SV49 @ SV105 @ SV49 @ SY754 )
            | ( coll @ SV49 @ SV105 @ SY754 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(397,plain,
    ! [SV106: $i,SV50: $i] :
      ( ( ! [SY755: $i,SY756: $i] :
            ~ ! [SY757: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY755 @ SY756 @ SV50 @ SV106 )
                        | ~ ( cong @ SY755 @ SV50 @ SY755 @ SV106 ) )
                  | ~ ( ~ ( coll @ SV106 @ SV50 @ SY757 )
                      | ~ ( coll @ SY757 @ SY755 @ SY756 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(398,plain,
    ! [SV107: $i,SV51: $i] :
      ( ( ! [SY758: $i,SY759: $i,SY760: $i,SY761: $i,SY762: $i,SY763: $i] :
            ( ~ ( eqangle @ SV51 @ SV107 @ SY758 @ SY759 @ SY760 @ SY761 @ SY762 @ SY763 )
            | ( eqangle @ SV51 @ SV107 @ SY760 @ SY761 @ SY758 @ SY759 @ SY762 @ SY763 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(399,plain,
    ! [SV108: $i,SV52: $i] :
      ( ( ! [SY764: $i,SY765: $i] :
            ~ ! [SY766: $i] :
                ~ ~ ! [SY767: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV52 @ SY765 @ SV108 @ SY764 )
                              | ~ ( perp @ SV108 @ SY765 @ SV52 @ SY764 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY766 @ SY764 @ SV108 )
                                        | ~ ( perp @ SV52 @ SY766 @ SY764 @ SV108 ) )
                                  | ~ ( coll @ SY767 @ SY764 @ SV52 ) )
                            | ~ ( perp @ SV108 @ SY767 @ SY764 @ SV52 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(400,plain,
    ! [SV109: $i,SV53: $i] :
      ( ( ! [SY768: $i,SY769: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY768 @ SV53 @ SY768 @ SV109 @ SY769 @ SV53 @ SY769 @ SV109 )
                  | ~ ( coll @ SY768 @ SY769 @ SV109 ) )
            | ( cyclic @ SV53 @ SV109 @ SY768 @ SY769 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(401,plain,
    ! [SV110: $i,SV54: $i] :
      ( ( ! [SY770: $i,SY771: $i,SY772: $i,SY773: $i,SY774: $i] :
            ~ ! [SY775: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY772 @ SV54 @ SV110 )
                                    | ~ ( midp @ SY773 @ SY770 @ SY771 ) )
                              | ~ ( coll @ SY770 @ SV54 @ SV110 ) )
                        | ~ ( coll @ SY771 @ SV54 @ SV110 ) )
                  | ( midp @ SY775 @ SV54 @ SY774 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(402,plain,
    ! [SV111: $i,SV55: $i] :
      ( ( ! [SY776: $i,SY777: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY776 @ SV55 @ SY776 @ SV111 @ SY777 @ SV55 @ SY777 @ SV111 )
                  | ~ ~ ( coll @ SY776 @ SY777 @ SV55 ) )
            | ( cyclic @ SV55 @ SV111 @ SY776 @ SY777 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(403,plain,
    ! [SV112: $i,SV56: $i] :
      ( ( ! [SY778: $i,SY779: $i] :
            ( ~ ( cong @ SV56 @ SV112 @ SY778 @ SY779 )
            | ( cong @ SV56 @ SV112 @ SY779 @ SY778 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(404,plain,
    ! [SV113: $i,SV57: $i,SV1: $i] :
      ( ( ! [SY780: $i,SY781: $i,SY782: $i,SY783: $i,SY784: $i] :
            ( ~ ( eqangle @ SV1 @ SV57 @ SV113 @ SY780 @ SY781 @ SY782 @ SY783 @ SY784 )
            | ( eqangle @ SV57 @ SV1 @ SV113 @ SY780 @ SY781 @ SY782 @ SY783 @ SY784 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(405,plain,
    ! [SV58: $i,SV2: $i,SV114: $i] :
      ( ( ! [SY785: $i] :
            ( ~ ~ ( ~ ( midp @ SV114 @ SV2 @ SV58 )
                  | ~ ( perp @ SY785 @ SV114 @ SV2 @ SV58 ) )
            | ( cong @ SY785 @ SV2 @ SY785 @ SV58 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(406,plain,
    ! [SV115: $i,SV59: $i,SV3: $i] :
      ( ( ! [SY786: $i,SY787: $i,SY788: $i] :
            ~ ! [SY789: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY787 @ SV3 @ SV59 )
                        | ~ ( midp @ SY788 @ SV115 @ SY786 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY789 @ SV3 @ SY786 )
                            | ~ ( para @ SY789 @ SY787 @ SV59 @ SY786 ) )
                      | ~ ( para @ SY789 @ SY788 @ SV3 @ SV115 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(407,plain,
    ! [SV116: $i,SV60: $i,SV4: $i] :
      ( ( ! [SY790: $i,SY791: $i] :
            ( ~ ~ ( ~ ( midp @ SY790 @ SV4 @ SV60 )
                  | ~ ( midp @ SY791 @ SV4 @ SV116 ) )
            | ( para @ SY790 @ SY791 @ SV60 @ SV116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(408,plain,
    ! [SV117: $i,SV61: $i,SV5: $i] :
      ( ( ! [SY792: $i] :
            ( ~ ~ ( ~ ( coll @ SV5 @ SV61 @ SV117 )
                  | ~ ( coll @ SV5 @ SV61 @ SY792 ) )
            | ( coll @ SV117 @ SY792 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(409,plain,
    ! [SV118: $i,SV62: $i,SV6: $i] :
      ( ( ! [SY793: $i,SY794: $i,SY795: $i,SY796: $i,SY797: $i] :
            ( ~ ( eqangle @ SV6 @ SV62 @ SV118 @ SY793 @ SY794 @ SY795 @ SY796 @ SY797 )
            | ( eqangle @ SV118 @ SY793 @ SV6 @ SV62 @ SY796 @ SY797 @ SY794 @ SY795 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(410,plain,
    ! [SV63: $i,SV119: $i,SV7: $i] :
      ( ( ! [SY798: $i,SY799: $i] :
            ~ ! [SY800: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
                        | ~ ( coll @ SV63 @ SY798 @ SY799 ) )
                  | ~ ( ~ ( coll @ SY800 @ SY798 @ SY799 )
                      | ~ ( perp @ SY800 @ SV7 @ SY798 @ SY799 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(411,plain,
    ! [SV120: $i,SV64: $i,SV8: $i] :
      ( ( ! [SY801: $i,SY802: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY801 @ SV8 @ SV64 @ SV120 )
                        | ~ ( coll @ SY802 @ SV64 @ SV120 ) )
                  | ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SY801 @ SV64 @ SY801 @ SY802 ) )
            | ( midp @ SY802 @ SV64 @ SV120 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(412,plain,
    ! [SV65: $i,SV9: $i,SV121: $i] :
      ( ( ~ ( cong @ SV121 @ SV9 @ SV121 @ SV65 )
        | ( eqangle @ SV121 @ SV9 @ SV9 @ SV65 @ SV9 @ SV65 @ SV121 @ SV65 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(413,plain,
    ! [SV122: $i,SV66: $i,SV10: $i] :
      ( ( ! [SY803: $i,SY804: $i,SY805: $i,SY806: $i,SY807: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SY803 @ SY804 @ SY805 @ SY806 @ SY807 )
                  | ~ ( para @ SY804 @ SY805 @ SY806 @ SY807 ) )
            | ( para @ SV10 @ SV66 @ SV122 @ SY803 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(414,plain,
    ! [SV67: $i,SV11: $i] :
      ( ( ! [SY627: $i,SY628: $i,SY629: $i,SY630: $i] :
            ~ ! [SY631: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY630 @ SV11 @ SV67 )
                                    | ~ ( para @ SV11 @ SY627 @ SY629 @ SY630 ) )
                              | ~ ( para @ SV11 @ SY627 @ SV67 @ SY628 ) )
                        | ~ ( coll @ SY627 @ SY628 @ SY629 ) )
                  | ~ ( ~ ( coll @ SY631 @ SV11 @ SY628 )
                      | ~ ( coll @ SY631 @ SY630 @ SY629 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(415,plain,
    ! [SV124: $i,SV68: $i,SV12: $i] :
      ( ( ! [SY813: $i,SY814: $i,SY815: $i] :
            ( ~ ( contri @ SV12 @ SV68 @ SV124 @ SY813 @ SY814 @ SY815 )
            | ( cong @ SV12 @ SV68 @ SY813 @ SY814 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(416,plain,
    ! [SV69: $i,SV13: $i,SV125: $i] :
      ( ( ! [SY816: $i] :
            ~ ! [SY817: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
                        | ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SY816 @ SV125 @ SY816 @ SV125 @ SV69 ) )
                  | ~ ( ~ ( coll @ SV69 @ SV13 @ SY817 )
                      | ~ ( coll @ SY817 @ SV125 @ SY816 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(417,plain,
    ! [SV126: $i,SV70: $i,SV14: $i] :
      ( ( ! [SY818: $i] :
            ( ~ ~ ( ~ ( perp @ SV14 @ SV70 @ SV70 @ SV126 )
                  | ~ ( midp @ SY818 @ SV14 @ SV126 ) )
            | ( cong @ SV14 @ SY818 @ SV70 @ SY818 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(418,plain,
    ! [SV127: $i,SV71: $i,SV15: $i] :
      ( ( ! [SY819: $i,SY820: $i,SY821: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SY819 )
                              | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SY820 ) )
                        | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SY821 ) )
                  | ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SY821 @ SY819 @ SY821 @ SY820 ) )
            | ( cong @ SV15 @ SV71 @ SY819 @ SY820 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(419,plain,
    ! [SV128: $i,SV72: $i,SV16: $i] :
      ( ( ! [SY822: $i,SY823: $i] :
            ( ~ ~ ( ~ ( midp @ SY823 @ SV16 @ SV72 )
                  | ~ ( midp @ SY823 @ SV128 @ SY822 ) )
            | ( para @ SV16 @ SV128 @ SV72 @ SY822 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(420,plain,
    ! [SV129: $i,SV73: $i,SV17: $i] :
      ( ( ! [SY824: $i,SY825: $i,SY826: $i] :
            ( ~ ( simtri @ SV17 @ SV73 @ SV129 @ SY824 @ SY825 @ SY826 )
            | ( eqangle @ SV17 @ SV73 @ SV73 @ SV129 @ SY824 @ SY825 @ SY825 @ SY826 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(421,plain,
    ! [SV130: $i,SV74: $i,SV18: $i] :
      ( ( ! [SY827: $i,SY828: $i,SY829: $i] :
            ( ~ ~ ( ~ ( midp @ SY828 @ SV18 @ SV74 )
                  | ~ ( midp @ SY829 @ SV130 @ SY827 ) )
            | ( eqratio @ SY828 @ SV18 @ SV18 @ SV74 @ SY829 @ SV130 @ SV130 @ SY827 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(422,plain,
    ! [SV75: $i,SV131: $i,SV19: $i] :
      ( ( ! [SY830: $i,SY831: $i] :
            ~ ! [SY832: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SY830 @ SV75 @ SY831 )
                        | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
                  | ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SY832 @ SV75 @ SY832 )
                      | ~ ( cyclic @ SY830 @ SV75 @ SV131 @ SY832 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(423,plain,
    ! [SV132: $i,SV76: $i,SV20: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV20 @ SV76 @ SV20 @ SV132 )
              | ~ ( coll @ SV20 @ SV76 @ SV132 ) )
        | ( midp @ SV20 @ SV76 @ SV132 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(424,plain,
    ! [SV133: $i,SV77: $i,SV21: $i] :
      ( ( ! [SY833: $i,SY834: $i,SY835: $i] :
            ( ~ ( eqangle @ SV21 @ SV77 @ SY834 @ SY835 @ SV133 @ SY833 @ SY834 @ SY835 )
            | ( para @ SV21 @ SV77 @ SV133 @ SY833 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(425,plain,
    ! [SV134: $i,SV78: $i,SV22: $i] :
      ( ( ! [SY836: $i,SY837: $i,SY838: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SY836 @ SY837 @ SY837 @ SY838 )
                        | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SY836 @ SY838 @ SY837 @ SY838 ) )
                  | ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
            | ( simtri @ SV22 @ SV78 @ SV134 @ SY836 @ SY837 @ SY838 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(426,plain,
    ! [SV135: $i,SV79: $i,SV23: $i] :
      ( ( ! [SY839: $i,SY840: $i,SY841: $i,SY842: $i,SY843: $i] :
            ( ~ ( eqangle @ SV23 @ SV79 @ SV135 @ SY839 @ SY840 @ SY841 @ SY842 @ SY843 )
            | ( eqangle @ SY840 @ SY841 @ SY842 @ SY843 @ SV23 @ SV79 @ SV135 @ SY839 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(427,plain,
    ! [SV24: $i,SV80: $i,SV136: $i] :
      ( ( ~ ( midp @ SV136 @ SV80 @ SV24 )
        | ( midp @ SV136 @ SV24 @ SV80 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(428,plain,
    ! [SV137: $i,SV81: $i,SV25: $i] :
      ( ( ~ ( midp @ SV25 @ SV81 @ SV137 )
        | ( cong @ SV25 @ SV81 @ SV25 @ SV137 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(429,plain,
    ! [SV138: $i,SV82: $i,SV26: $i] :
      ( ( ! [SY844: $i,SY845: $i] :
            ~ ! [SY846: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                              | ~ ( perp @ SV138 @ SV26 @ SV138 @ SY844 ) )
                        | ~ ( midp @ SY845 @ SV82 @ SY844 ) )
                  | ( midp @ SY846 @ SV26 @ SV138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(430,plain,
    ! [SV139: $i,SV83: $i,SV27: $i] :
      ( ( ! [SY847: $i] :
            ( ~ ~ ( ~ ( cong @ SY847 @ SV27 @ SY847 @ SV83 )
                  | ~ ( cong @ SY847 @ SV27 @ SY847 @ SV139 ) )
            | ( circle @ SY847 @ SV27 @ SV83 @ SV139 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(431,plain,
    ! [SV140: $i,SV84: $i,SV28: $i] :
      ( ( ! [SY848: $i,SY849: $i,SY850: $i] :
            ( ~ ~ ( ~ ( cong @ SV28 @ SV84 @ SV140 @ SY848 )
                  | ~ ( cong @ SV140 @ SY848 @ SY849 @ SY850 ) )
            | ( cong @ SV28 @ SV84 @ SY849 @ SY850 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(432,plain,
    ! [SV141: $i,SV85: $i,SV29: $i] :
      ( ( ! [SY851: $i,SY852: $i,SY853: $i] :
            ~ ! [SY854: $i] :
                ~ ~ ! [SY855: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY852 @ SV29 @ SV85 @ SV141 )
                                          | ~ ( cong @ SY852 @ SV29 @ SY852 @ SY851 ) )
                                    | ~ ( cong @ SY853 @ SV29 @ SY853 @ SV85 ) )
                              | ~ ( ( SY852 != SY853 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY854 @ SV29 @ SV141 )
                                        | ~ ( cong @ SY854 @ SY853 @ SY853 @ SV29 ) )
                                  | ~ ( coll @ SY855 @ SV85 @ SY851 ) )
                            | ~ ( cong @ SY855 @ SY853 @ SY853 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(433,plain,
    ! [SV86: $i,SV30: $i,SV142: $i] :
      ( ( ! [SY856: $i] :
            ~ ! [SY857: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV142 @ SY856 @ SV30 @ SV86 )
                        | ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SY856 @ SV142 @ SY856 @ SV142 @ SV86 ) )
                  | ~ ( ~ ( coll @ SV86 @ SV30 @ SY857 )
                      | ~ ( coll @ SY857 @ SV142 @ SY856 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[377]) ).

thf(434,plain,
    ! [SV143: $i,SV87: $i,SV31: $i] :
      ( ( ~ ( coll @ SV31 @ SV87 @ SV143 )
        | ( coll @ SV31 @ SV143 @ SV87 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[378]) ).

thf(435,plain,
    ! [SV144: $i,SV88: $i,SV32: $i] :
      ( ( ! [SY858: $i] :
            ( ~ ( cong @ SV32 @ SV88 @ SV144 @ SY858 )
            | ( cong @ SV144 @ SY858 @ SV32 @ SV88 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[379]) ).

thf(436,plain,
    ! [SV145: $i,SV89: $i,SV33: $i] :
      ( ( ! [SY859: $i,SY860: $i,SY861: $i,SY862: $i,SY863: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SY859 @ SY860 @ SY861 @ SY862 @ SY863 )
                  | ~ ( cong @ SY860 @ SY861 @ SY862 @ SY863 ) )
            | ( cong @ SV33 @ SV89 @ SV145 @ SY859 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(437,plain,
    ! [SV90: $i,SV34: $i,SV146: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV146 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SV146 @ SV90 )
              | ~ ~ ( coll @ SV146 @ SV34 @ SV90 ) )
        | ( cong @ SV146 @ SV34 @ SV146 @ SV90 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[381]) ).

thf(438,plain,
    ! [SV147: $i,SV91: $i,SV35: $i] :
      ( ( ! [SY864: $i] :
            ( ~ ( cyclic @ SV35 @ SV91 @ SV147 @ SY864 )
            | ( eqangle @ SV147 @ SV35 @ SV147 @ SV91 @ SY864 @ SV35 @ SY864 @ SV91 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[382]) ).

thf(439,plain,
    ! [SV148: $i,SV92: $i,SV36: $i] :
      ( ( ~ ( midp @ SV36 @ SV92 @ SV148 )
        | ( coll @ SV36 @ SV92 @ SV148 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[383]) ).

thf(440,plain,
    ! [SV93: $i,SV149: $i,SV37: $i] :
      ( ( ! [SY865: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SV149 @ SV93 @ SV149 )
                  | ~ ( cong @ SV37 @ SY865 @ SV93 @ SY865 ) )
            | ( perp @ SV37 @ SV93 @ SV149 @ SY865 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[384]) ).

thf(441,plain,
    ! [SV150: $i,SV94: $i,SV38: $i] :
      ( ( ! [SY866: $i,SY867: $i,SY868: $i] :
            ~ ! [SY869: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SY866 )
                                    | ~ ( coll @ SY867 @ SV38 @ SV150 ) )
                              | ~ ( coll @ SY867 @ SV94 @ SY866 ) )
                        | ~ ( coll @ SY868 @ SV38 @ SV94 ) )
                  | ~ ( ~ ( coll @ SY867 @ SY868 @ SY869 )
                      | ~ ( coll @ SY869 @ SV150 @ SY866 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[385]) ).

thf(442,plain,
    ! [SV151: $i,SV95: $i,SV39: $i] :
      ( ( ~ ( coll @ SV39 @ SV95 @ SV151 )
        | ( coll @ SV95 @ SV39 @ SV151 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[386]) ).

thf(443,plain,
    ! [SV152: $i,SV96: $i,SV40: $i] :
      ( ( ! [SY870: $i,SY871: $i,SY872: $i,SY873: $i,SY874: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SY870 @ SY871 @ SY872 @ SY873 @ SY874 )
                  | ~ ( perp @ SY871 @ SY872 @ SY873 @ SY874 ) )
            | ( perp @ SV40 @ SV96 @ SV152 @ SY870 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[387]) ).

thf(444,plain,
    ! [SV153: $i,SV97: $i,SV41: $i] :
      ( ( ! [SY875: $i,SY876: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY875 @ SV41 @ SV97 )
                        | ~ ( para @ SY875 @ SY876 @ SV97 @ SV153 ) )
                  | ~ ( coll @ SY876 @ SV41 @ SV153 ) )
            | ( midp @ SY876 @ SV41 @ SV153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[388]) ).

thf(445,plain,
    ! [SV154: $i,SV98: $i,SV42: $i] :
      ( ( ! [SY877: $i,SY878: $i,SY879: $i] :
            ( ~ ( para @ SV42 @ SV98 @ SV154 @ SY877 )
            | ( eqangle @ SV42 @ SV98 @ SY878 @ SY879 @ SV154 @ SY877 @ SY878 @ SY879 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(446,plain,
    ! [SV155: $i,SV99: $i,SV43: $i] :
      ( ( ! [SY880: $i,SY881: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SY881 @ SV43 @ SY881 @ SV99 )
                        | ~ ( cong @ SY881 @ SV43 @ SY881 @ SV155 ) )
                  | ~ ( cong @ SY881 @ SV43 @ SY881 @ SY880 ) )
            | ( cyclic @ SV43 @ SV99 @ SV155 @ SY880 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(447,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ~ ! [SY882: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
                      | ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) )
                | ~ ( ~ ( coll @ SV44 @ SV156 @ SY882 )
                    | ~ ( cong @ SV156 @ SV44 @ SV156 @ SY882 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[391]) ).

thf(448,plain,
    ! [SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY883: $i,SY884: $i,SY885: $i,SY886: $i,SY887: $i,SY888: $i,SY889: $i,SY890: $i,SY891: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SY883 @ SY884 @ SY885 @ SY886 @ SY887 )
                  | ~ ( eqangle @ SY884 @ SY885 @ SY886 @ SY887 @ SY888 @ SY889 @ SY890 @ SY891 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SY883 @ SY888 @ SY889 @ SY890 @ SY891 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(449,plain,
    ! [SV46: $i,SV102: $i,SV158: $i] :
      ( ( ! [SY892: $i] :
            ~ ! [SY893: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
                        | ~ ( eqangle @ SY892 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) )
                  | ~ ( ~ ( coll @ SY893 @ SV46 @ SV102 )
                      | ~ ( coll @ SY893 @ SV158 @ SY892 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[393]) ).

thf(450,plain,
    ! [SV159: $i,SV103: $i,SV47: $i] :
      ( ( ! [SY894: $i,SY895: $i] :
            ( ~ ~ ( ~ ( circle @ SY894 @ SV47 @ SV103 @ SV159 )
                  | ~ ( midp @ SY895 @ SV103 @ SV159 ) )
            | ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SY894 @ SV103 @ SY894 @ SY895 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(451,plain,
    ! [SV160: $i,SV104: $i,SV48: $i] :
      ( ( ! [SY896: $i,SY897: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY897 @ SV48 @ SV104 )
                        | ~ ( para @ SV48 @ SV160 @ SV104 @ SY896 ) )
                  | ~ ( para @ SV48 @ SY896 @ SV104 @ SV160 ) )
            | ( midp @ SY897 @ SV160 @ SY896 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[395]) ).

thf(452,plain,
    ! [SV161: $i,SV105: $i,SV49: $i] :
      ( ( ~ ( para @ SV49 @ SV105 @ SV49 @ SV161 )
        | ( coll @ SV49 @ SV105 @ SV161 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(453,plain,
    ! [SV106: $i,SV50: $i,SV162: $i] :
      ( ( ! [SY898: $i] :
            ~ ! [SY899: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV162 @ SY898 @ SV50 @ SV106 )
                        | ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) )
                  | ~ ( ~ ( coll @ SV106 @ SV50 @ SY899 )
                      | ~ ( coll @ SY899 @ SV162 @ SY898 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[397]) ).

thf(454,plain,
    ! [SV163: $i,SV107: $i,SV51: $i] :
      ( ( ! [SY900: $i,SY901: $i,SY902: $i,SY903: $i,SY904: $i] :
            ( ~ ( eqangle @ SV51 @ SV107 @ SV163 @ SY900 @ SY901 @ SY902 @ SY903 @ SY904 )
            | ( eqangle @ SV51 @ SV107 @ SY901 @ SY902 @ SV163 @ SY900 @ SY903 @ SY904 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(455,plain,
    ! [SV164: $i,SV108: $i,SV52: $i] :
      ( ( ! [SY905: $i] :
            ~ ! [SY906: $i] :
                ~ ~ ! [SY907: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV52 @ SY905 @ SV108 @ SV164 )
                              | ~ ( perp @ SV108 @ SY905 @ SV52 @ SV164 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY906 @ SV164 @ SV108 )
                                        | ~ ( perp @ SV52 @ SY906 @ SV164 @ SV108 ) )
                                  | ~ ( coll @ SY907 @ SV164 @ SV52 ) )
                            | ~ ( perp @ SV108 @ SY907 @ SV164 @ SV52 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[399]) ).

thf(456,plain,
    ! [SV109: $i,SV53: $i,SV165: $i] :
      ( ( ! [SY908: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV165 @ SV53 @ SV165 @ SV109 @ SY908 @ SV53 @ SY908 @ SV109 )
                  | ~ ( coll @ SV165 @ SY908 @ SV109 ) )
            | ( cyclic @ SV53 @ SV109 @ SV165 @ SY908 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[400]) ).

thf(457,plain,
    ! [SV166: $i,SV110: $i,SV54: $i] :
      ( ( ! [SY909: $i,SY910: $i,SY911: $i,SY912: $i] :
            ~ ! [SY913: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY910 @ SV54 @ SV110 )
                                    | ~ ( midp @ SY911 @ SV166 @ SY909 ) )
                              | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
                        | ~ ( coll @ SY909 @ SV54 @ SV110 ) )
                  | ( midp @ SY913 @ SV54 @ SY912 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(458,plain,
    ! [SV111: $i,SV55: $i,SV167: $i] :
      ( ( ! [SY914: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SY914 @ SV55 @ SY914 @ SV111 )
                  | ~ ~ ( coll @ SV167 @ SY914 @ SV55 ) )
            | ( cyclic @ SV55 @ SV111 @ SV167 @ SY914 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(459,plain,
    ! [SV168: $i,SV112: $i,SV56: $i] :
      ( ( ! [SY915: $i] :
            ( ~ ( cong @ SV56 @ SV112 @ SV168 @ SY915 )
            | ( cong @ SV56 @ SV112 @ SY915 @ SV168 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(460,plain,
    ! [SV169: $i,SV113: $i,SV57: $i,SV1: $i] :
      ( ( ! [SY916: $i,SY917: $i,SY918: $i,SY919: $i] :
            ( ~ ( eqangle @ SV1 @ SV57 @ SV113 @ SV169 @ SY916 @ SY917 @ SY918 @ SY919 )
            | ( eqangle @ SV57 @ SV1 @ SV113 @ SV169 @ SY916 @ SY917 @ SY918 @ SY919 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(461,plain,
    ! [SV170: $i,SV58: $i,SV2: $i,SV114: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV114 @ SV2 @ SV58 )
              | ~ ( perp @ SV170 @ SV114 @ SV2 @ SV58 ) )
        | ( cong @ SV170 @ SV2 @ SV170 @ SV58 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[405]) ).

thf(462,plain,
    ! [SV171: $i,SV115: $i,SV59: $i,SV3: $i] :
      ( ( ! [SY920: $i,SY921: $i] :
            ~ ! [SY922: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY920 @ SV3 @ SV59 )
                        | ~ ( midp @ SY921 @ SV115 @ SV171 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY922 @ SV3 @ SV171 )
                            | ~ ( para @ SY922 @ SY920 @ SV59 @ SV171 ) )
                      | ~ ( para @ SY922 @ SY921 @ SV3 @ SV115 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[406]) ).

thf(463,plain,
    ! [SV116: $i,SV60: $i,SV4: $i,SV172: $i] :
      ( ( ! [SY923: $i] :
            ( ~ ~ ( ~ ( midp @ SV172 @ SV4 @ SV60 )
                  | ~ ( midp @ SY923 @ SV4 @ SV116 ) )
            | ( para @ SV172 @ SY923 @ SV60 @ SV116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[407]) ).

thf(464,plain,
    ! [SV173: $i,SV117: $i,SV61: $i,SV5: $i] :
      ( ( ~ ~ ( ~ ( coll @ SV5 @ SV61 @ SV117 )
              | ~ ( coll @ SV5 @ SV61 @ SV173 ) )
        | ( coll @ SV117 @ SV173 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(465,plain,
    ! [SV174: $i,SV118: $i,SV62: $i,SV6: $i] :
      ( ( ! [SY924: $i,SY925: $i,SY926: $i,SY927: $i] :
            ( ~ ( eqangle @ SV6 @ SV62 @ SV118 @ SV174 @ SY924 @ SY925 @ SY926 @ SY927 )
            | ( eqangle @ SV118 @ SV174 @ SV6 @ SV62 @ SY926 @ SY927 @ SY924 @ SY925 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[409]) ).

thf(466,plain,
    ! [SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ! [SY928: $i] :
            ~ ! [SY929: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
                        | ~ ( coll @ SV63 @ SV175 @ SY928 ) )
                  | ~ ( ~ ( coll @ SY929 @ SV175 @ SY928 )
                      | ~ ( perp @ SY929 @ SV7 @ SV175 @ SY928 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(467,plain,
    ! [SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ! [SY930: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
                        | ~ ( coll @ SY930 @ SV64 @ SV120 ) )
                  | ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SY930 ) )
            | ( midp @ SY930 @ SV64 @ SV120 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[411]) ).

thf(468,plain,
    ! [SV65: $i,SV9: $i,SV121: $i] :
      ( ( ( ~ ( cong @ SV121 @ SV9 @ SV121 @ SV65 ) )
        = $true )
      | ( ( eqangle @ SV121 @ SV9 @ SV9 @ SV65 @ SV9 @ SV65 @ SV121 @ SV65 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[412]) ).

thf(469,plain,
    ! [SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ! [SY931: $i,SY932: $i,SY933: $i,SY934: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SY931 @ SY932 @ SY933 @ SY934 )
                  | ~ ( para @ SY931 @ SY932 @ SY933 @ SY934 ) )
            | ( para @ SV10 @ SV66 @ SV122 @ SV177 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[413]) ).

thf(470,plain,
    ! [SV178: $i,SV67: $i,SV11: $i] :
      ( ( ! [SY935: $i,SY936: $i,SY937: $i] :
            ~ ! [SY938: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY937 @ SV11 @ SV67 )
                                    | ~ ( para @ SV11 @ SV178 @ SY936 @ SY937 ) )
                              | ~ ( para @ SV11 @ SV178 @ SV67 @ SY935 ) )
                        | ~ ( coll @ SV178 @ SY935 @ SY936 ) )
                  | ~ ( ~ ( coll @ SY938 @ SV11 @ SY935 )
                      | ~ ( coll @ SY938 @ SY937 @ SY936 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(471,plain,
    ! [SV179: $i,SV124: $i,SV68: $i,SV12: $i] :
      ( ( ! [SY939: $i,SY940: $i] :
            ( ~ ( contri @ SV12 @ SV68 @ SV124 @ SV179 @ SY939 @ SY940 )
            | ( cong @ SV12 @ SV68 @ SV179 @ SY939 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[415]) ).

thf(472,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ~ ! [SY941: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
                      | ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) )
                | ~ ( ~ ( coll @ SV69 @ SV13 @ SY941 )
                    | ~ ( coll @ SY941 @ SV125 @ SV180 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[416]) ).

thf(473,plain,
    ! [SV181: $i,SV126: $i,SV70: $i,SV14: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV14 @ SV70 @ SV70 @ SV126 )
              | ~ ( midp @ SV181 @ SV14 @ SV126 ) )
        | ( cong @ SV14 @ SV181 @ SV70 @ SV181 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[417]) ).

thf(474,plain,
    ! [SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ! [SY942: $i,SY943: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                              | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SY942 ) )
                        | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SY943 ) )
                  | ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SY943 @ SV182 @ SY943 @ SY942 ) )
            | ( cong @ SV15 @ SV71 @ SV182 @ SY942 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[418]) ).

thf(475,plain,
    ! [SV183: $i,SV128: $i,SV72: $i,SV16: $i] :
      ( ( ! [SY944: $i] :
            ( ~ ~ ( ~ ( midp @ SY944 @ SV16 @ SV72 )
                  | ~ ( midp @ SY944 @ SV128 @ SV183 ) )
            | ( para @ SV16 @ SV128 @ SV72 @ SV183 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(476,plain,
    ! [SV184: $i,SV129: $i,SV73: $i,SV17: $i] :
      ( ( ! [SY945: $i,SY946: $i] :
            ( ~ ( simtri @ SV17 @ SV73 @ SV129 @ SV184 @ SY945 @ SY946 )
            | ( eqangle @ SV17 @ SV73 @ SV73 @ SV129 @ SV184 @ SY945 @ SY945 @ SY946 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[420]) ).

thf(477,plain,
    ! [SV185: $i,SV130: $i,SV74: $i,SV18: $i] :
      ( ( ! [SY947: $i,SY948: $i] :
            ( ~ ~ ( ~ ( midp @ SY947 @ SV18 @ SV74 )
                  | ~ ( midp @ SY948 @ SV130 @ SV185 ) )
            | ( eqratio @ SY947 @ SV18 @ SV18 @ SV74 @ SY948 @ SV130 @ SV130 @ SV185 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(478,plain,
    ! [SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ! [SY949: $i] :
            ~ ! [SY950: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SY949 )
                        | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
                  | ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SY950 @ SV75 @ SY950 )
                      | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ SY950 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[422]) ).

thf(479,plain,
    ! [SV132: $i,SV76: $i,SV20: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV20 @ SV76 @ SV20 @ SV132 )
                | ~ ( coll @ SV20 @ SV76 @ SV132 ) ) )
        = $true )
      | ( ( midp @ SV20 @ SV76 @ SV132 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[423]) ).

thf(480,plain,
    ! [SV187: $i,SV133: $i,SV77: $i,SV21: $i] :
      ( ( ! [SY951: $i,SY952: $i] :
            ( ~ ( eqangle @ SV21 @ SV77 @ SY951 @ SY952 @ SV133 @ SV187 @ SY951 @ SY952 )
            | ( para @ SV21 @ SV77 @ SV133 @ SV187 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(481,plain,
    ! [SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ! [SY953: $i,SY954: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SY953 @ SY953 @ SY954 )
                        | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SY954 @ SY953 @ SY954 ) )
                  | ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
            | ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SY953 @ SY954 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(482,plain,
    ! [SV189: $i,SV135: $i,SV79: $i,SV23: $i] :
      ( ( ! [SY955: $i,SY956: $i,SY957: $i,SY958: $i] :
            ( ~ ( eqangle @ SV23 @ SV79 @ SV135 @ SV189 @ SY955 @ SY956 @ SY957 @ SY958 )
            | ( eqangle @ SY955 @ SY956 @ SY957 @ SY958 @ SV23 @ SV79 @ SV135 @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(483,plain,
    ! [SV24: $i,SV80: $i,SV136: $i] :
      ( ( ( ~ ( midp @ SV136 @ SV80 @ SV24 ) )
        = $true )
      | ( ( midp @ SV136 @ SV24 @ SV80 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[427]) ).

thf(484,plain,
    ! [SV137: $i,SV81: $i,SV25: $i] :
      ( ( ( ~ ( midp @ SV25 @ SV81 @ SV137 ) )
        = $true )
      | ( ( cong @ SV25 @ SV81 @ SV25 @ SV137 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[428]) ).

thf(485,plain,
    ! [SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ! [SY959: $i] :
            ~ ! [SY960: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                              | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
                        | ~ ( midp @ SY959 @ SV82 @ SV190 ) )
                  | ( midp @ SY960 @ SV26 @ SV138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(486,plain,
    ! [SV139: $i,SV83: $i,SV27: $i,SV191: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV191 @ SV27 @ SV191 @ SV83 )
              | ~ ( cong @ SV191 @ SV27 @ SV191 @ SV139 ) )
        | ( circle @ SV191 @ SV27 @ SV83 @ SV139 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[430]) ).

thf(487,plain,
    ! [SV192: $i,SV140: $i,SV84: $i,SV28: $i] :
      ( ( ! [SY961: $i,SY962: $i] :
            ( ~ ~ ( ~ ( cong @ SV28 @ SV84 @ SV140 @ SV192 )
                  | ~ ( cong @ SV140 @ SV192 @ SY961 @ SY962 ) )
            | ( cong @ SV28 @ SV84 @ SY961 @ SY962 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(488,plain,
    ! [SV193: $i,SV141: $i,SV85: $i,SV29: $i] :
      ( ( ! [SY963: $i,SY964: $i] :
            ~ ! [SY965: $i] :
                ~ ~ ! [SY966: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY963 @ SV29 @ SV85 @ SV141 )
                                          | ~ ( cong @ SY963 @ SV29 @ SY963 @ SV193 ) )
                                    | ~ ( cong @ SY964 @ SV29 @ SY964 @ SV85 ) )
                              | ~ ( ( SY963 != SY964 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY965 @ SV29 @ SV141 )
                                        | ~ ( cong @ SY965 @ SY964 @ SY964 @ SV29 ) )
                                  | ~ ( coll @ SY966 @ SV85 @ SV193 ) )
                            | ~ ( cong @ SY966 @ SY964 @ SY964 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(489,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ~ ! [SY967: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
                      | ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) )
                | ~ ( ~ ( coll @ SV86 @ SV30 @ SY967 )
                    | ~ ( coll @ SY967 @ SV142 @ SV194 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(490,plain,
    ! [SV143: $i,SV87: $i,SV31: $i] :
      ( ( ( ~ ( coll @ SV31 @ SV87 @ SV143 ) )
        = $true )
      | ( ( coll @ SV31 @ SV143 @ SV87 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[434]) ).

thf(491,plain,
    ! [SV195: $i,SV144: $i,SV88: $i,SV32: $i] :
      ( ( ~ ( cong @ SV32 @ SV88 @ SV144 @ SV195 )
        | ( cong @ SV144 @ SV195 @ SV32 @ SV88 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[435]) ).

thf(492,plain,
    ! [SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ! [SY968: $i,SY969: $i,SY970: $i,SY971: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SY968 @ SY969 @ SY970 @ SY971 )
                  | ~ ( cong @ SY968 @ SY969 @ SY970 @ SY971 ) )
            | ( cong @ SV33 @ SV89 @ SV145 @ SV196 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(493,plain,
    ! [SV90: $i,SV34: $i,SV146: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV146 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SV146 @ SV90 )
                | ~ ~ ( coll @ SV146 @ SV34 @ SV90 ) ) )
        = $true )
      | ( ( cong @ SV146 @ SV34 @ SV146 @ SV90 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[437]) ).

thf(494,plain,
    ! [SV197: $i,SV147: $i,SV91: $i,SV35: $i] :
      ( ( ~ ( cyclic @ SV35 @ SV91 @ SV147 @ SV197 )
        | ( eqangle @ SV147 @ SV35 @ SV147 @ SV91 @ SV197 @ SV35 @ SV197 @ SV91 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[438]) ).

thf(495,plain,
    ! [SV148: $i,SV92: $i,SV36: $i] :
      ( ( ( ~ ( midp @ SV36 @ SV92 @ SV148 ) )
        = $true )
      | ( ( coll @ SV36 @ SV92 @ SV148 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[439]) ).

thf(496,plain,
    ! [SV198: $i,SV93: $i,SV149: $i,SV37: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV37 @ SV149 @ SV93 @ SV149 )
              | ~ ( cong @ SV37 @ SV198 @ SV93 @ SV198 ) )
        | ( perp @ SV37 @ SV93 @ SV149 @ SV198 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[440]) ).

thf(497,plain,
    ! [SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ! [SY972: $i,SY973: $i] :
            ~ ! [SY974: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                                    | ~ ( coll @ SY972 @ SV38 @ SV150 ) )
                              | ~ ( coll @ SY972 @ SV94 @ SV199 ) )
                        | ~ ( coll @ SY973 @ SV38 @ SV94 ) )
                  | ~ ( ~ ( coll @ SY972 @ SY973 @ SY974 )
                      | ~ ( coll @ SY974 @ SV150 @ SV199 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(498,plain,
    ! [SV151: $i,SV95: $i,SV39: $i] :
      ( ( ( ~ ( coll @ SV39 @ SV95 @ SV151 ) )
        = $true )
      | ( ( coll @ SV95 @ SV39 @ SV151 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[442]) ).

thf(499,plain,
    ! [SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ! [SY975: $i,SY976: $i,SY977: $i,SY978: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SY975 @ SY976 @ SY977 @ SY978 )
                  | ~ ( perp @ SY975 @ SY976 @ SY977 @ SY978 ) )
            | ( perp @ SV40 @ SV96 @ SV152 @ SV200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(500,plain,
    ! [SV153: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ! [SY979: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SV201 @ SV41 @ SV97 )
                        | ~ ( para @ SV201 @ SY979 @ SV97 @ SV153 ) )
                  | ~ ( coll @ SY979 @ SV41 @ SV153 ) )
            | ( midp @ SY979 @ SV41 @ SV153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(501,plain,
    ! [SV202: $i,SV154: $i,SV98: $i,SV42: $i] :
      ( ( ! [SY980: $i,SY981: $i] :
            ( ~ ( para @ SV42 @ SV98 @ SV154 @ SV202 )
            | ( eqangle @ SV42 @ SV98 @ SY980 @ SY981 @ SV154 @ SV202 @ SY980 @ SY981 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(502,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i] :
      ( ( ! [SY982: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SY982 @ SV43 @ SY982 @ SV99 )
                        | ~ ( cong @ SY982 @ SV43 @ SY982 @ SV155 ) )
                  | ~ ( cong @ SY982 @ SV43 @ SY982 @ SV203 ) )
            | ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(503,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ! [SY882: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
                    | ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) )
              | ~ ( ~ ( coll @ SV44 @ SV156 @ SY882 )
                  | ~ ( cong @ SV156 @ SV44 @ SV156 @ SY882 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(504,plain,
    ! [SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY983: $i,SY984: $i,SY985: $i,SY986: $i,SY987: $i,SY988: $i,SY989: $i,SY990: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SY983 @ SY984 @ SY985 @ SY986 )
                  | ~ ( eqangle @ SY983 @ SY984 @ SY985 @ SY986 @ SY987 @ SY988 @ SY989 @ SY990 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SY987 @ SY988 @ SY989 @ SY990 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[448]) ).

thf(505,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ~ ! [SY991: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
                      | ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) )
                | ~ ( ~ ( coll @ SY991 @ SV46 @ SV102 )
                    | ~ ( coll @ SY991 @ SV158 @ SV205 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[449]) ).

thf(506,plain,
    ! [SV159: $i,SV103: $i,SV47: $i,SV206: $i] :
      ( ( ! [SY992: $i] :
            ( ~ ~ ( ~ ( circle @ SV206 @ SV47 @ SV103 @ SV159 )
                  | ~ ( midp @ SY992 @ SV103 @ SV159 ) )
            | ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SV206 @ SV103 @ SV206 @ SY992 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(507,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i] :
      ( ( ! [SY993: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY993 @ SV48 @ SV104 )
                        | ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) )
                  | ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
            | ( midp @ SY993 @ SV160 @ SV207 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(508,plain,
    ! [SV161: $i,SV105: $i,SV49: $i] :
      ( ( ( ~ ( para @ SV49 @ SV105 @ SV49 @ SV161 ) )
        = $true )
      | ( ( coll @ SV49 @ SV105 @ SV161 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[452]) ).

thf(509,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ~ ! [SY994: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
                      | ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) )
                | ~ ( ~ ( coll @ SV106 @ SV50 @ SY994 )
                    | ~ ( coll @ SY994 @ SV162 @ SV208 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(510,plain,
    ! [SV209: $i,SV163: $i,SV107: $i,SV51: $i] :
      ( ( ! [SY995: $i,SY996: $i,SY997: $i,SY998: $i] :
            ( ~ ( eqangle @ SV51 @ SV107 @ SV163 @ SV209 @ SY995 @ SY996 @ SY997 @ SY998 )
            | ( eqangle @ SV51 @ SV107 @ SY995 @ SY996 @ SV163 @ SV209 @ SY997 @ SY998 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[454]) ).

thf(511,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ~ ! [SY999: $i] :
              ~ ~ ! [SY1000: $i] :
                    ~ ( ~ ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
                            | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY999 @ SV164 @ SV108 )
                                      | ~ ( perp @ SV52 @ SY999 @ SV164 @ SV108 ) )
                                | ~ ( coll @ SY1000 @ SV164 @ SV52 ) )
                          | ~ ( perp @ SV108 @ SY1000 @ SV164 @ SV52 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[455]) ).

thf(512,plain,
    ! [SV211: $i,SV109: $i,SV53: $i,SV165: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV165 @ SV53 @ SV165 @ SV109 @ SV211 @ SV53 @ SV211 @ SV109 )
              | ~ ( coll @ SV165 @ SV211 @ SV109 ) )
        | ( cyclic @ SV53 @ SV109 @ SV165 @ SV211 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[456]) ).

thf(513,plain,
    ! [SV212: $i,SV166: $i,SV110: $i,SV54: $i] :
      ( ( ! [SY1001: $i,SY1002: $i,SY1003: $i] :
            ~ ! [SY1004: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1001 @ SV54 @ SV110 )
                                    | ~ ( midp @ SY1002 @ SV166 @ SV212 ) )
                              | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
                        | ~ ( coll @ SV212 @ SV54 @ SV110 ) )
                  | ( midp @ SY1004 @ SV54 @ SY1003 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[457]) ).

thf(514,plain,
    ! [SV213: $i,SV111: $i,SV55: $i,SV167: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SV213 @ SV55 @ SV213 @ SV111 )
              | ~ ~ ( coll @ SV167 @ SV213 @ SV55 ) )
        | ( cyclic @ SV55 @ SV111 @ SV167 @ SV213 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(515,plain,
    ! [SV214: $i,SV168: $i,SV112: $i,SV56: $i] :
      ( ( ~ ( cong @ SV56 @ SV112 @ SV168 @ SV214 )
        | ( cong @ SV56 @ SV112 @ SV214 @ SV168 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[459]) ).

thf(516,plain,
    ! [SV215: $i,SV169: $i,SV113: $i,SV57: $i,SV1: $i] :
      ( ( ! [SY1005: $i,SY1006: $i,SY1007: $i] :
            ( ~ ( eqangle @ SV1 @ SV57 @ SV113 @ SV169 @ SV215 @ SY1005 @ SY1006 @ SY1007 )
            | ( eqangle @ SV57 @ SV1 @ SV113 @ SV169 @ SV215 @ SY1005 @ SY1006 @ SY1007 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[460]) ).

thf(517,plain,
    ! [SV170: $i,SV58: $i,SV2: $i,SV114: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV114 @ SV2 @ SV58 )
                | ~ ( perp @ SV170 @ SV114 @ SV2 @ SV58 ) ) )
        = $true )
      | ( ( cong @ SV170 @ SV2 @ SV170 @ SV58 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[461]) ).

thf(518,plain,
    ! [SV171: $i,SV115: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ! [SY1008: $i] :
            ~ ! [SY1009: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SV216 @ SV3 @ SV59 )
                        | ~ ( midp @ SY1008 @ SV115 @ SV171 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY1009 @ SV3 @ SV171 )
                            | ~ ( para @ SY1009 @ SV216 @ SV59 @ SV171 ) )
                      | ~ ( para @ SY1009 @ SY1008 @ SV3 @ SV115 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[462]) ).

thf(519,plain,
    ! [SV116: $i,SV217: $i,SV60: $i,SV4: $i,SV172: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV172 @ SV4 @ SV60 )
              | ~ ( midp @ SV217 @ SV4 @ SV116 ) )
        | ( para @ SV172 @ SV217 @ SV60 @ SV116 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(520,plain,
    ! [SV173: $i,SV117: $i,SV61: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ SV5 @ SV61 @ SV117 )
                | ~ ( coll @ SV5 @ SV61 @ SV173 ) ) )
        = $true )
      | ( ( coll @ SV117 @ SV173 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[464]) ).

thf(521,plain,
    ! [SV218: $i,SV174: $i,SV118: $i,SV62: $i,SV6: $i] :
      ( ( ! [SY1010: $i,SY1011: $i,SY1012: $i] :
            ( ~ ( eqangle @ SV6 @ SV62 @ SV118 @ SV174 @ SV218 @ SY1010 @ SY1011 @ SY1012 )
            | ( eqangle @ SV118 @ SV174 @ SV6 @ SV62 @ SY1011 @ SY1012 @ SV218 @ SY1010 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[465]) ).

thf(522,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ~ ! [SY1013: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
                      | ~ ( coll @ SV63 @ SV175 @ SV219 ) )
                | ~ ( ~ ( coll @ SY1013 @ SV175 @ SV219 )
                    | ~ ( perp @ SY1013 @ SV7 @ SV175 @ SV219 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[466]) ).

thf(523,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
                    | ~ ( coll @ SV220 @ SV64 @ SV120 ) )
              | ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) )
        | ( midp @ SV220 @ SV64 @ SV120 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[467]) ).

thf(524,plain,
    ! [SV65: $i,SV9: $i,SV121: $i] :
      ( ( ( cong @ SV121 @ SV9 @ SV121 @ SV65 )
        = $false )
      | ( ( eqangle @ SV121 @ SV9 @ SV9 @ SV65 @ SV9 @ SV65 @ SV121 @ SV65 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(525,plain,
    ! [SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ! [SY1014: $i,SY1015: $i,SY1016: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SY1014 @ SY1015 @ SY1016 )
                  | ~ ( para @ SV221 @ SY1014 @ SY1015 @ SY1016 ) )
            | ( para @ SV10 @ SV66 @ SV122 @ SV177 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(526,plain,
    ! [SV222: $i,SV178: $i,SV67: $i,SV11: $i] :
      ( ( ! [SY1017: $i,SY1018: $i] :
            ~ ! [SY1019: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1018 @ SV11 @ SV67 )
                                    | ~ ( para @ SV11 @ SV178 @ SY1017 @ SY1018 ) )
                              | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
                        | ~ ( coll @ SV178 @ SV222 @ SY1017 ) )
                  | ~ ( ~ ( coll @ SY1019 @ SV11 @ SV222 )
                      | ~ ( coll @ SY1019 @ SY1018 @ SY1017 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(527,plain,
    ! [SV223: $i,SV179: $i,SV124: $i,SV68: $i,SV12: $i] :
      ( ( ! [SY1020: $i] :
            ( ~ ( contri @ SV12 @ SV68 @ SV124 @ SV179 @ SV223 @ SY1020 )
            | ( cong @ SV12 @ SV68 @ SV179 @ SV223 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(528,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ! [SY941: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
                    | ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) )
              | ~ ( ~ ( coll @ SV69 @ SV13 @ SY941 )
                  | ~ ( coll @ SY941 @ SV125 @ SV180 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[472]) ).

thf(529,plain,
    ! [SV181: $i,SV126: $i,SV70: $i,SV14: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV14 @ SV70 @ SV70 @ SV126 )
                | ~ ( midp @ SV181 @ SV14 @ SV126 ) ) )
        = $true )
      | ( ( cong @ SV14 @ SV181 @ SV70 @ SV181 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[473]) ).

thf(530,plain,
    ! [SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ! [SY1021: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                              | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
                        | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SY1021 ) )
                  | ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SY1021 @ SV182 @ SY1021 @ SV224 ) )
            | ( cong @ SV15 @ SV71 @ SV182 @ SV224 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[474]) ).

thf(531,plain,
    ! [SV183: $i,SV128: $i,SV72: $i,SV16: $i,SV225: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV225 @ SV16 @ SV72 )
              | ~ ( midp @ SV225 @ SV128 @ SV183 ) )
        | ( para @ SV16 @ SV128 @ SV72 @ SV183 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[475]) ).

thf(532,plain,
    ! [SV226: $i,SV184: $i,SV129: $i,SV73: $i,SV17: $i] :
      ( ( ! [SY1022: $i] :
            ( ~ ( simtri @ SV17 @ SV73 @ SV129 @ SV184 @ SV226 @ SY1022 )
            | ( eqangle @ SV17 @ SV73 @ SV73 @ SV129 @ SV184 @ SV226 @ SV226 @ SY1022 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[476]) ).

thf(533,plain,
    ! [SV185: $i,SV130: $i,SV74: $i,SV18: $i,SV227: $i] :
      ( ( ! [SY1023: $i] :
            ( ~ ~ ( ~ ( midp @ SV227 @ SV18 @ SV74 )
                  | ~ ( midp @ SY1023 @ SV130 @ SV185 ) )
            | ( eqratio @ SV227 @ SV18 @ SV18 @ SV74 @ SY1023 @ SV130 @ SV130 @ SV185 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(534,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ~ ! [SY1024: $i] :
              ~ ( ~ ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
                      | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
                | ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SY1024 @ SV75 @ SY1024 )
                    | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ SY1024 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[478]) ).

thf(535,plain,
    ! [SV132: $i,SV76: $i,SV20: $i] :
      ( ( ( ~ ( ~ ( cong @ SV20 @ SV76 @ SV20 @ SV132 )
              | ~ ( coll @ SV20 @ SV76 @ SV132 ) ) )
        = $false )
      | ( ( midp @ SV20 @ SV76 @ SV132 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[479]) ).

thf(536,plain,
    ! [SV187: $i,SV133: $i,SV229: $i,SV77: $i,SV21: $i] :
      ( ( ! [SY1025: $i] :
            ( ~ ( eqangle @ SV21 @ SV77 @ SV229 @ SY1025 @ SV133 @ SV187 @ SV229 @ SY1025 )
            | ( para @ SV21 @ SV77 @ SV133 @ SV187 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[480]) ).

thf(537,plain,
    ! [SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ! [SY1026: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SY1026 )
                        | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SY1026 @ SV230 @ SY1026 ) )
                  | ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
            | ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SY1026 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[481]) ).

thf(538,plain,
    ! [SV231: $i,SV189: $i,SV135: $i,SV79: $i,SV23: $i] :
      ( ( ! [SY1027: $i,SY1028: $i,SY1029: $i] :
            ( ~ ( eqangle @ SV23 @ SV79 @ SV135 @ SV189 @ SV231 @ SY1027 @ SY1028 @ SY1029 )
            | ( eqangle @ SV231 @ SY1027 @ SY1028 @ SY1029 @ SV23 @ SV79 @ SV135 @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[482]) ).

thf(539,plain,
    ! [SV24: $i,SV80: $i,SV136: $i] :
      ( ( ( midp @ SV136 @ SV80 @ SV24 )
        = $false )
      | ( ( midp @ SV136 @ SV24 @ SV80 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[483]) ).

thf(540,plain,
    ! [SV137: $i,SV81: $i,SV25: $i] :
      ( ( ( midp @ SV25 @ SV81 @ SV137 )
        = $false )
      | ( ( cong @ SV25 @ SV81 @ SV25 @ SV137 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(541,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ~ ! [SY1030: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                            | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
                      | ~ ( midp @ SV232 @ SV82 @ SV190 ) )
                | ( midp @ SY1030 @ SV26 @ SV138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[485]) ).

thf(542,plain,
    ! [SV139: $i,SV83: $i,SV27: $i,SV191: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV191 @ SV27 @ SV191 @ SV83 )
                | ~ ( cong @ SV191 @ SV27 @ SV191 @ SV139 ) ) )
        = $true )
      | ( ( circle @ SV191 @ SV27 @ SV83 @ SV139 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(543,plain,
    ! [SV233: $i,SV192: $i,SV140: $i,SV84: $i,SV28: $i] :
      ( ( ! [SY1031: $i] :
            ( ~ ~ ( ~ ( cong @ SV28 @ SV84 @ SV140 @ SV192 )
                  | ~ ( cong @ SV140 @ SV192 @ SV233 @ SY1031 ) )
            | ( cong @ SV28 @ SV84 @ SV233 @ SY1031 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(544,plain,
    ! [SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ! [SY1032: $i] :
            ~ ! [SY1033: $i] :
                ~ ~ ! [SY1034: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                                          | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                                    | ~ ( cong @ SY1032 @ SV29 @ SY1032 @ SV85 ) )
                              | ~ ( ( SV234 != SY1032 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1033 @ SV29 @ SV141 )
                                        | ~ ( cong @ SY1033 @ SY1032 @ SY1032 @ SV29 ) )
                                  | ~ ( coll @ SY1034 @ SV85 @ SV193 ) )
                            | ~ ( cong @ SY1034 @ SY1032 @ SY1032 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(545,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ! [SY967: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
                    | ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) )
              | ~ ( ~ ( coll @ SV86 @ SV30 @ SY967 )
                  | ~ ( coll @ SY967 @ SV142 @ SV194 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[489]) ).

thf(546,plain,
    ! [SV143: $i,SV87: $i,SV31: $i] :
      ( ( ( coll @ SV31 @ SV87 @ SV143 )
        = $false )
      | ( ( coll @ SV31 @ SV143 @ SV87 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[490]) ).

thf(547,plain,
    ! [SV195: $i,SV144: $i,SV88: $i,SV32: $i] :
      ( ( ( ~ ( cong @ SV32 @ SV88 @ SV144 @ SV195 ) )
        = $true )
      | ( ( cong @ SV144 @ SV195 @ SV32 @ SV88 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[491]) ).

thf(548,plain,
    ! [SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ! [SY1035: $i,SY1036: $i,SY1037: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SY1035 @ SY1036 @ SY1037 )
                  | ~ ( cong @ SV235 @ SY1035 @ SY1036 @ SY1037 ) )
            | ( cong @ SV33 @ SV89 @ SV145 @ SV196 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(549,plain,
    ! [SV90: $i,SV34: $i,SV146: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV146 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SV146 @ SV90 )
              | ~ ~ ( coll @ SV146 @ SV34 @ SV90 ) ) )
        = $false )
      | ( ( cong @ SV146 @ SV34 @ SV146 @ SV90 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[493]) ).

thf(550,plain,
    ! [SV197: $i,SV147: $i,SV91: $i,SV35: $i] :
      ( ( ( ~ ( cyclic @ SV35 @ SV91 @ SV147 @ SV197 ) )
        = $true )
      | ( ( eqangle @ SV147 @ SV35 @ SV147 @ SV91 @ SV197 @ SV35 @ SV197 @ SV91 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[494]) ).

thf(551,plain,
    ! [SV148: $i,SV92: $i,SV36: $i] :
      ( ( ( midp @ SV36 @ SV92 @ SV148 )
        = $false )
      | ( ( coll @ SV36 @ SV92 @ SV148 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(552,plain,
    ! [SV198: $i,SV93: $i,SV149: $i,SV37: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV37 @ SV149 @ SV93 @ SV149 )
                | ~ ( cong @ SV37 @ SV198 @ SV93 @ SV198 ) ) )
        = $true )
      | ( ( perp @ SV37 @ SV93 @ SV149 @ SV198 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[496]) ).

thf(553,plain,
    ! [SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ! [SY1038: $i] :
            ~ ! [SY1039: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                                    | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                              | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
                        | ~ ( coll @ SY1038 @ SV38 @ SV94 ) )
                  | ~ ( ~ ( coll @ SV236 @ SY1038 @ SY1039 )
                      | ~ ( coll @ SY1039 @ SV150 @ SV199 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(554,plain,
    ! [SV151: $i,SV95: $i,SV39: $i] :
      ( ( ( coll @ SV39 @ SV95 @ SV151 )
        = $false )
      | ( ( coll @ SV95 @ SV39 @ SV151 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[498]) ).

thf(555,plain,
    ! [SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ! [SY1040: $i,SY1041: $i,SY1042: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SY1040 @ SY1041 @ SY1042 )
                  | ~ ( perp @ SV237 @ SY1040 @ SY1041 @ SY1042 ) )
            | ( perp @ SV40 @ SV96 @ SV152 @ SV200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(556,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV201 @ SV41 @ SV97 )
                    | ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) )
              | ~ ( coll @ SV238 @ SV41 @ SV153 ) )
        | ( midp @ SV238 @ SV41 @ SV153 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(557,plain,
    ! [SV239: $i,SV202: $i,SV154: $i,SV98: $i,SV42: $i] :
      ( ( ! [SY1043: $i] :
            ( ~ ( para @ SV42 @ SV98 @ SV154 @ SV202 )
            | ( eqangle @ SV42 @ SV98 @ SV239 @ SY1043 @ SV154 @ SV202 @ SV239 @ SY1043 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(558,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
                    | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) )
              | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) )
        | ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[502]) ).

thf(559,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
                  | ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) )
            | ~ ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
                | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[503]) ).

thf(560,plain,
    ! [SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY1044: $i,SY1045: $i,SY1046: $i,SY1047: $i,SY1048: $i,SY1049: $i,SY1050: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SY1044 @ SY1045 @ SY1046 )
                  | ~ ( eqangle @ SV241 @ SY1044 @ SY1045 @ SY1046 @ SY1047 @ SY1048 @ SY1049 @ SY1050 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SY1047 @ SY1048 @ SY1049 @ SY1050 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(561,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ! [SY991: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
                    | ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) )
              | ~ ( ~ ( coll @ SY991 @ SV46 @ SV102 )
                  | ~ ( coll @ SY991 @ SV158 @ SV205 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(562,plain,
    ! [SV242: $i,SV159: $i,SV103: $i,SV47: $i,SV206: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV206 @ SV47 @ SV103 @ SV159 )
              | ~ ( midp @ SV242 @ SV103 @ SV159 ) )
        | ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SV206 @ SV103 @ SV206 @ SV242 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(563,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV243 @ SV48 @ SV104 )
                    | ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) )
              | ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
        | ( midp @ SV243 @ SV160 @ SV207 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(564,plain,
    ! [SV161: $i,SV105: $i,SV49: $i] :
      ( ( ( para @ SV49 @ SV105 @ SV49 @ SV161 )
        = $false )
      | ( ( coll @ SV49 @ SV105 @ SV161 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(565,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ! [SY994: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
                    | ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) )
              | ~ ( ~ ( coll @ SV106 @ SV50 @ SY994 )
                  | ~ ( coll @ SY994 @ SV162 @ SV208 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(566,plain,
    ! [SV244: $i,SV209: $i,SV163: $i,SV107: $i,SV51: $i] :
      ( ( ! [SY1051: $i,SY1052: $i,SY1053: $i] :
            ( ~ ( eqangle @ SV51 @ SV107 @ SV163 @ SV209 @ SV244 @ SY1051 @ SY1052 @ SY1053 )
            | ( eqangle @ SV51 @ SV107 @ SV244 @ SY1051 @ SV163 @ SV209 @ SY1052 @ SY1053 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[510]) ).

thf(567,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ! [SY999: $i] :
            ~ ~ ! [SY1000: $i] :
                  ~ ( ~ ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
                          | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY999 @ SV164 @ SV108 )
                                    | ~ ( perp @ SV52 @ SY999 @ SV164 @ SV108 ) )
                              | ~ ( coll @ SY1000 @ SV164 @ SV52 ) )
                        | ~ ( perp @ SV108 @ SY1000 @ SV164 @ SV52 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(568,plain,
    ! [SV211: $i,SV109: $i,SV53: $i,SV165: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV165 @ SV53 @ SV165 @ SV109 @ SV211 @ SV53 @ SV211 @ SV109 )
                | ~ ( coll @ SV165 @ SV211 @ SV109 ) ) )
        = $true )
      | ( ( cyclic @ SV53 @ SV109 @ SV165 @ SV211 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[512]) ).

thf(569,plain,
    ! [SV212: $i,SV166: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ! [SY1054: $i,SY1055: $i] :
            ~ ! [SY1056: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                                    | ~ ( midp @ SY1054 @ SV166 @ SV212 ) )
                              | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
                        | ~ ( coll @ SV212 @ SV54 @ SV110 ) )
                  | ( midp @ SY1056 @ SV54 @ SY1055 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(570,plain,
    ! [SV213: $i,SV111: $i,SV55: $i,SV167: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SV213 @ SV55 @ SV213 @ SV111 )
                | ~ ~ ( coll @ SV167 @ SV213 @ SV55 ) ) )
        = $true )
      | ( ( cyclic @ SV55 @ SV111 @ SV167 @ SV213 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[514]) ).

thf(571,plain,
    ! [SV214: $i,SV168: $i,SV112: $i,SV56: $i] :
      ( ( ( ~ ( cong @ SV56 @ SV112 @ SV168 @ SV214 ) )
        = $true )
      | ( ( cong @ SV56 @ SV112 @ SV214 @ SV168 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[515]) ).

thf(572,plain,
    ! [SV246: $i,SV215: $i,SV169: $i,SV113: $i,SV57: $i,SV1: $i] :
      ( ( ! [SY1057: $i,SY1058: $i] :
            ( ~ ( eqangle @ SV1 @ SV57 @ SV113 @ SV169 @ SV215 @ SV246 @ SY1057 @ SY1058 )
            | ( eqangle @ SV57 @ SV1 @ SV113 @ SV169 @ SV215 @ SV246 @ SY1057 @ SY1058 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[516]) ).

thf(573,plain,
    ! [SV170: $i,SV58: $i,SV2: $i,SV114: $i] :
      ( ( ( ~ ( ~ ( midp @ SV114 @ SV2 @ SV58 )
              | ~ ( perp @ SV170 @ SV114 @ SV2 @ SV58 ) ) )
        = $false )
      | ( ( cong @ SV170 @ SV2 @ SV170 @ SV58 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[517]) ).

thf(574,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ~ ! [SY1059: $i] :
              ~ ( ~ ~ ( ~ ( midp @ SV216 @ SV3 @ SV59 )
                      | ~ ( midp @ SV247 @ SV115 @ SV171 ) )
                | ~ ( ~ ~ ( ~ ( midp @ SY1059 @ SV3 @ SV171 )
                          | ~ ( para @ SY1059 @ SV216 @ SV59 @ SV171 ) )
                    | ~ ( para @ SY1059 @ SV247 @ SV3 @ SV115 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[518]) ).

thf(575,plain,
    ! [SV116: $i,SV217: $i,SV60: $i,SV4: $i,SV172: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV172 @ SV4 @ SV60 )
                | ~ ( midp @ SV217 @ SV4 @ SV116 ) ) )
        = $true )
      | ( ( para @ SV172 @ SV217 @ SV60 @ SV116 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[519]) ).

thf(576,plain,
    ! [SV173: $i,SV117: $i,SV61: $i,SV5: $i] :
      ( ( ( ~ ( ~ ( coll @ SV5 @ SV61 @ SV117 )
              | ~ ( coll @ SV5 @ SV61 @ SV173 ) ) )
        = $false )
      | ( ( coll @ SV117 @ SV173 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(577,plain,
    ! [SV248: $i,SV218: $i,SV174: $i,SV118: $i,SV62: $i,SV6: $i] :
      ( ( ! [SY1060: $i,SY1061: $i] :
            ( ~ ( eqangle @ SV6 @ SV62 @ SV118 @ SV174 @ SV218 @ SV248 @ SY1060 @ SY1061 )
            | ( eqangle @ SV118 @ SV174 @ SV6 @ SV62 @ SY1060 @ SY1061 @ SV218 @ SV248 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[521]) ).

thf(578,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ! [SY1013: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
                    | ~ ( coll @ SV63 @ SV175 @ SV219 ) )
              | ~ ( ~ ( coll @ SY1013 @ SV175 @ SV219 )
                  | ~ ( perp @ SY1013 @ SV7 @ SV175 @ SV219 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[522]) ).

thf(579,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
                      | ~ ( coll @ SV220 @ SV64 @ SV120 ) )
                | ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) ) )
        = $true )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[523]) ).

thf(580,plain,
    ! [SV249: $i,SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ! [SY1062: $i,SY1063: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SY1062 @ SY1063 )
                  | ~ ( para @ SV221 @ SV249 @ SY1062 @ SY1063 ) )
            | ( para @ SV10 @ SV66 @ SV122 @ SV177 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[525]) ).

thf(581,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i] :
      ( ( ! [SY1064: $i] :
            ~ ! [SY1065: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1064 @ SV11 @ SV67 )
                                    | ~ ( para @ SV11 @ SV178 @ SV250 @ SY1064 ) )
                              | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
                        | ~ ( coll @ SV178 @ SV222 @ SV250 ) )
                  | ~ ( ~ ( coll @ SY1065 @ SV11 @ SV222 )
                      | ~ ( coll @ SY1065 @ SY1064 @ SV250 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[526]) ).

thf(582,plain,
    ! [SV251: $i,SV223: $i,SV179: $i,SV124: $i,SV68: $i,SV12: $i] :
      ( ( ~ ( contri @ SV12 @ SV68 @ SV124 @ SV179 @ SV223 @ SV251 )
        | ( cong @ SV12 @ SV68 @ SV179 @ SV223 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(583,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
                  | ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) )
            | ~ ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
                | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[528]) ).

thf(584,plain,
    ! [SV181: $i,SV126: $i,SV70: $i,SV14: $i] :
      ( ( ( ~ ( ~ ( perp @ SV14 @ SV70 @ SV70 @ SV126 )
              | ~ ( midp @ SV181 @ SV14 @ SV126 ) ) )
        = $false )
      | ( ( cong @ SV14 @ SV181 @ SV70 @ SV181 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(585,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                          | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
                    | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
              | ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        | ( cong @ SV15 @ SV71 @ SV182 @ SV224 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[530]) ).

thf(586,plain,
    ! [SV183: $i,SV128: $i,SV72: $i,SV16: $i,SV225: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV225 @ SV16 @ SV72 )
                | ~ ( midp @ SV225 @ SV128 @ SV183 ) ) )
        = $true )
      | ( ( para @ SV16 @ SV128 @ SV72 @ SV183 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(587,plain,
    ! [SV253: $i,SV226: $i,SV184: $i,SV129: $i,SV73: $i,SV17: $i] :
      ( ( ~ ( simtri @ SV17 @ SV73 @ SV129 @ SV184 @ SV226 @ SV253 )
        | ( eqangle @ SV17 @ SV73 @ SV73 @ SV129 @ SV184 @ SV226 @ SV226 @ SV253 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[532]) ).

thf(588,plain,
    ! [SV185: $i,SV130: $i,SV254: $i,SV74: $i,SV18: $i,SV227: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV227 @ SV18 @ SV74 )
              | ~ ( midp @ SV254 @ SV130 @ SV185 ) )
        | ( eqratio @ SV227 @ SV18 @ SV18 @ SV74 @ SV254 @ SV130 @ SV130 @ SV185 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[533]) ).

thf(589,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ! [SY1024: $i] :
            ~ ( ~ ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
                    | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
              | ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SY1024 @ SV75 @ SY1024 )
                  | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ SY1024 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[534]) ).

thf(590,plain,
    ! [SV132: $i,SV76: $i,SV20: $i] :
      ( ( ( ~ ( cong @ SV20 @ SV76 @ SV20 @ SV132 )
          | ~ ( coll @ SV20 @ SV76 @ SV132 ) )
        = $true )
      | ( ( midp @ SV20 @ SV76 @ SV132 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[535]) ).

thf(591,plain,
    ! [SV187: $i,SV133: $i,SV255: $i,SV229: $i,SV77: $i,SV21: $i] :
      ( ( ~ ( eqangle @ SV21 @ SV77 @ SV229 @ SV255 @ SV133 @ SV187 @ SV229 @ SV255 )
        | ( para @ SV21 @ SV77 @ SV133 @ SV187 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[536]) ).

thf(592,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
                    | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) )
              | ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        | ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[537]) ).

thf(593,plain,
    ! [SV257: $i,SV231: $i,SV189: $i,SV135: $i,SV79: $i,SV23: $i] :
      ( ( ! [SY1066: $i,SY1067: $i] :
            ( ~ ( eqangle @ SV23 @ SV79 @ SV135 @ SV189 @ SV231 @ SV257 @ SY1066 @ SY1067 )
            | ( eqangle @ SV231 @ SV257 @ SY1066 @ SY1067 @ SV23 @ SV79 @ SV135 @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[538]) ).

thf(594,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ! [SY1030: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                          | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
                    | ~ ( midp @ SV232 @ SV82 @ SV190 ) )
              | ( midp @ SY1030 @ SV26 @ SV138 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(595,plain,
    ! [SV139: $i,SV83: $i,SV27: $i,SV191: $i] :
      ( ( ( ~ ( ~ ( cong @ SV191 @ SV27 @ SV191 @ SV83 )
              | ~ ( cong @ SV191 @ SV27 @ SV191 @ SV139 ) ) )
        = $false )
      | ( ( circle @ SV191 @ SV27 @ SV83 @ SV139 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[542]) ).

thf(596,plain,
    ! [SV258: $i,SV233: $i,SV192: $i,SV140: $i,SV84: $i,SV28: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV28 @ SV84 @ SV140 @ SV192 )
              | ~ ( cong @ SV140 @ SV192 @ SV233 @ SV258 ) )
        | ( cong @ SV28 @ SV84 @ SV233 @ SV258 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(597,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ~ ! [SY1068: $i] :
              ~ ~ ! [SY1069: $i] :
                    ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                                        | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                                  | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
                            | ~ ( ( SV234 != SV259 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1068 @ SV29 @ SV141 )
                                      | ~ ( cong @ SY1068 @ SV259 @ SV259 @ SV29 ) )
                                | ~ ( coll @ SY1069 @ SV85 @ SV193 ) )
                          | ~ ( cong @ SY1069 @ SV259 @ SV259 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[544]) ).

thf(598,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
                  | ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) )
            | ~ ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
                | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[545]) ).

thf(599,plain,
    ! [SV195: $i,SV144: $i,SV88: $i,SV32: $i] :
      ( ( ( cong @ SV32 @ SV88 @ SV144 @ SV195 )
        = $false )
      | ( ( cong @ SV144 @ SV195 @ SV32 @ SV88 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[547]) ).

thf(600,plain,
    ! [SV260: $i,SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ! [SY1070: $i,SY1071: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SY1070 @ SY1071 )
                  | ~ ( cong @ SV235 @ SV260 @ SY1070 @ SY1071 ) )
            | ( cong @ SV33 @ SV89 @ SV145 @ SV196 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(601,plain,
    ! [SV90: $i,SV34: $i,SV146: $i] :
      ( ( ( ~ ( eqangle @ SV146 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SV146 @ SV90 )
          | ~ ~ ( coll @ SV146 @ SV34 @ SV90 ) )
        = $true )
      | ( ( cong @ SV146 @ SV34 @ SV146 @ SV90 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[549]) ).

thf(602,plain,
    ! [SV197: $i,SV147: $i,SV91: $i,SV35: $i] :
      ( ( ( cyclic @ SV35 @ SV91 @ SV147 @ SV197 )
        = $false )
      | ( ( eqangle @ SV147 @ SV35 @ SV147 @ SV91 @ SV197 @ SV35 @ SV197 @ SV91 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(603,plain,
    ! [SV198: $i,SV93: $i,SV149: $i,SV37: $i] :
      ( ( ( ~ ( ~ ( cong @ SV37 @ SV149 @ SV93 @ SV149 )
              | ~ ( cong @ SV37 @ SV198 @ SV93 @ SV198 ) ) )
        = $false )
      | ( ( perp @ SV37 @ SV93 @ SV149 @ SV198 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(604,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ~ ! [SY1072: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                                  | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                            | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
                      | ~ ( coll @ SV261 @ SV38 @ SV94 ) )
                | ~ ( ~ ( coll @ SV236 @ SV261 @ SY1072 )
                    | ~ ( coll @ SY1072 @ SV150 @ SV199 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(605,plain,
    ! [SV262: $i,SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ! [SY1073: $i,SY1074: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SY1073 @ SY1074 )
                  | ~ ( perp @ SV237 @ SV262 @ SY1073 @ SY1074 ) )
            | ( perp @ SV40 @ SV96 @ SV152 @ SV200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(606,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV201 @ SV41 @ SV97 )
                      | ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) )
                | ~ ( coll @ SV238 @ SV41 @ SV153 ) ) )
        = $true )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[556]) ).

thf(607,plain,
    ! [SV263: $i,SV239: $i,SV202: $i,SV154: $i,SV98: $i,SV42: $i] :
      ( ( ~ ( para @ SV42 @ SV98 @ SV154 @ SV202 )
        | ( eqangle @ SV42 @ SV98 @ SV239 @ SV263 @ SV154 @ SV202 @ SV239 @ SV263 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(608,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
                      | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) )
                | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[558]) ).

thf(609,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
              | ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) )
        | ~ ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
            | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[559]) ).

thf(610,plain,
    ! [SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY1075: $i,SY1076: $i,SY1077: $i,SY1078: $i,SY1079: $i,SY1080: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SY1075 @ SY1076 )
                  | ~ ( eqangle @ SV241 @ SV264 @ SY1075 @ SY1076 @ SY1077 @ SY1078 @ SY1079 @ SY1080 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SY1077 @ SY1078 @ SY1079 @ SY1080 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(611,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
                  | ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) )
            | ~ ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
                | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[561]) ).

thf(612,plain,
    ! [SV242: $i,SV159: $i,SV103: $i,SV47: $i,SV206: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV206 @ SV47 @ SV103 @ SV159 )
                | ~ ( midp @ SV242 @ SV103 @ SV159 ) ) )
        = $true )
      | ( ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SV206 @ SV103 @ SV206 @ SV242 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[562]) ).

thf(613,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV243 @ SV48 @ SV104 )
                      | ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) )
                | ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) ) )
        = $true )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[563]) ).

thf(614,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
                  | ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) )
            | ~ ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
                | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[565]) ).

thf(615,plain,
    ! [SV265: $i,SV244: $i,SV209: $i,SV163: $i,SV107: $i,SV51: $i] :
      ( ( ! [SY1081: $i,SY1082: $i] :
            ( ~ ( eqangle @ SV51 @ SV107 @ SV163 @ SV209 @ SV244 @ SV265 @ SY1081 @ SY1082 )
            | ( eqangle @ SV51 @ SV107 @ SV244 @ SV265 @ SV163 @ SV209 @ SY1081 @ SY1082 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[566]) ).

thf(616,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ~ ~ ! [SY1083: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
                        | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                                  | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                            | ~ ( coll @ SY1083 @ SV164 @ SV52 ) )
                      | ~ ( perp @ SV108 @ SY1083 @ SV164 @ SV52 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[567]) ).

thf(617,plain,
    ! [SV211: $i,SV109: $i,SV53: $i,SV165: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV165 @ SV53 @ SV165 @ SV109 @ SV211 @ SV53 @ SV211 @ SV109 )
              | ~ ( coll @ SV165 @ SV211 @ SV109 ) ) )
        = $false )
      | ( ( cyclic @ SV53 @ SV109 @ SV165 @ SV211 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[568]) ).

thf(618,plain,
    ! [SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ! [SY1084: $i] :
            ~ ! [SY1085: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                                    | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                              | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
                        | ~ ( coll @ SV212 @ SV54 @ SV110 ) )
                  | ( midp @ SY1085 @ SV54 @ SY1084 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[569]) ).

thf(619,plain,
    ! [SV213: $i,SV111: $i,SV55: $i,SV167: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SV213 @ SV55 @ SV213 @ SV111 )
              | ~ ~ ( coll @ SV167 @ SV213 @ SV55 ) ) )
        = $false )
      | ( ( cyclic @ SV55 @ SV111 @ SV167 @ SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(620,plain,
    ! [SV214: $i,SV168: $i,SV112: $i,SV56: $i] :
      ( ( ( cong @ SV56 @ SV112 @ SV168 @ SV214 )
        = $false )
      | ( ( cong @ SV56 @ SV112 @ SV214 @ SV168 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[571]) ).

thf(621,plain,
    ! [SV267: $i,SV246: $i,SV215: $i,SV169: $i,SV113: $i,SV57: $i,SV1: $i] :
      ( ( ! [SY1086: $i] :
            ( ~ ( eqangle @ SV1 @ SV57 @ SV113 @ SV169 @ SV215 @ SV246 @ SV267 @ SY1086 )
            | ( eqangle @ SV57 @ SV1 @ SV113 @ SV169 @ SV215 @ SV246 @ SV267 @ SY1086 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[572]) ).

thf(622,plain,
    ! [SV170: $i,SV58: $i,SV2: $i,SV114: $i] :
      ( ( ( ~ ( midp @ SV114 @ SV2 @ SV58 )
          | ~ ( perp @ SV170 @ SV114 @ SV2 @ SV58 ) )
        = $true )
      | ( ( cong @ SV170 @ SV2 @ SV170 @ SV58 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[573]) ).

thf(623,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ! [SY1059: $i] :
            ~ ( ~ ~ ( ~ ( midp @ SV216 @ SV3 @ SV59 )
                    | ~ ( midp @ SV247 @ SV115 @ SV171 ) )
              | ~ ( ~ ~ ( ~ ( midp @ SY1059 @ SV3 @ SV171 )
                        | ~ ( para @ SY1059 @ SV216 @ SV59 @ SV171 ) )
                  | ~ ( para @ SY1059 @ SV247 @ SV3 @ SV115 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(624,plain,
    ! [SV116: $i,SV217: $i,SV60: $i,SV4: $i,SV172: $i] :
      ( ( ( ~ ( ~ ( midp @ SV172 @ SV4 @ SV60 )
              | ~ ( midp @ SV217 @ SV4 @ SV116 ) ) )
        = $false )
      | ( ( para @ SV172 @ SV217 @ SV60 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[575]) ).

thf(625,plain,
    ! [SV173: $i,SV117: $i,SV61: $i,SV5: $i] :
      ( ( ( ~ ( coll @ SV5 @ SV61 @ SV117 )
          | ~ ( coll @ SV5 @ SV61 @ SV173 ) )
        = $true )
      | ( ( coll @ SV117 @ SV173 @ SV5 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[576]) ).

thf(626,plain,
    ! [SV268: $i,SV248: $i,SV218: $i,SV174: $i,SV118: $i,SV62: $i,SV6: $i] :
      ( ( ! [SY1087: $i] :
            ( ~ ( eqangle @ SV6 @ SV62 @ SV118 @ SV174 @ SV218 @ SV248 @ SV268 @ SY1087 )
            | ( eqangle @ SV118 @ SV174 @ SV6 @ SV62 @ SV268 @ SY1087 @ SV218 @ SV248 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[577]) ).

thf(627,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
                  | ~ ( coll @ SV63 @ SV175 @ SV219 ) )
            | ~ ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
                | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[578]) ).

thf(628,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
                    | ~ ( coll @ SV220 @ SV64 @ SV120 ) )
              | ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) ) )
        = $false )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[579]) ).

thf(629,plain,
    ! [SV269: $i,SV249: $i,SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ! [SY1088: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SV269 @ SY1088 )
                  | ~ ( para @ SV221 @ SV249 @ SV269 @ SY1088 ) )
            | ( para @ SV10 @ SV66 @ SV122 @ SV177 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[580]) ).

thf(630,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ~ ! [SY1089: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                                  | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
                            | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
                      | ~ ( coll @ SV178 @ SV222 @ SV250 ) )
                | ~ ( ~ ( coll @ SY1089 @ SV11 @ SV222 )
                    | ~ ( coll @ SY1089 @ SV270 @ SV250 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[581]) ).

thf(631,plain,
    ! [SV251: $i,SV223: $i,SV179: $i,SV124: $i,SV68: $i,SV12: $i] :
      ( ( ( ~ ( contri @ SV12 @ SV68 @ SV124 @ SV179 @ SV223 @ SV251 ) )
        = $true )
      | ( ( cong @ SV12 @ SV68 @ SV179 @ SV223 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[582]) ).

thf(632,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
              | ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) )
        | ~ ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
            | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[583]) ).

thf(633,plain,
    ! [SV181: $i,SV126: $i,SV70: $i,SV14: $i] :
      ( ( ( ~ ( perp @ SV14 @ SV70 @ SV70 @ SV126 )
          | ~ ( midp @ SV181 @ SV14 @ SV126 ) )
        = $true )
      | ( ( cong @ SV14 @ SV181 @ SV70 @ SV181 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[584]) ).

thf(634,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                            | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
                      | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
                | ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[585]) ).

thf(635,plain,
    ! [SV183: $i,SV128: $i,SV72: $i,SV16: $i,SV225: $i] :
      ( ( ( ~ ( ~ ( midp @ SV225 @ SV16 @ SV72 )
              | ~ ( midp @ SV225 @ SV128 @ SV183 ) ) )
        = $false )
      | ( ( para @ SV16 @ SV128 @ SV72 @ SV183 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(636,plain,
    ! [SV253: $i,SV226: $i,SV184: $i,SV129: $i,SV73: $i,SV17: $i] :
      ( ( ( ~ ( simtri @ SV17 @ SV73 @ SV129 @ SV184 @ SV226 @ SV253 ) )
        = $true )
      | ( ( eqangle @ SV17 @ SV73 @ SV73 @ SV129 @ SV184 @ SV226 @ SV226 @ SV253 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[587]) ).

thf(637,plain,
    ! [SV185: $i,SV130: $i,SV254: $i,SV74: $i,SV18: $i,SV227: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV227 @ SV18 @ SV74 )
                | ~ ( midp @ SV254 @ SV130 @ SV185 ) ) )
        = $true )
      | ( ( eqratio @ SV227 @ SV18 @ SV18 @ SV74 @ SV254 @ SV130 @ SV130 @ SV185 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[588]) ).

thf(638,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
                  | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
            | ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
                | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[589]) ).

thf(639,plain,
    ! [SV132: $i,SV76: $i,SV20: $i] :
      ( ( ( ~ ( cong @ SV20 @ SV76 @ SV20 @ SV132 ) )
        = $true )
      | ( ( ~ ( coll @ SV20 @ SV76 @ SV132 ) )
        = $true )
      | ( ( midp @ SV20 @ SV76 @ SV132 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[590]) ).

thf(640,plain,
    ! [SV187: $i,SV133: $i,SV255: $i,SV229: $i,SV77: $i,SV21: $i] :
      ( ( ( ~ ( eqangle @ SV21 @ SV77 @ SV229 @ SV255 @ SV133 @ SV187 @ SV229 @ SV255 ) )
        = $true )
      | ( ( para @ SV21 @ SV77 @ SV133 @ SV187 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[591]) ).

thf(641,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
                      | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) )
                | ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) ) )
        = $true )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[592]) ).

thf(642,plain,
    ! [SV271: $i,SV257: $i,SV231: $i,SV189: $i,SV135: $i,SV79: $i,SV23: $i] :
      ( ( ! [SY1090: $i] :
            ( ~ ( eqangle @ SV23 @ SV79 @ SV135 @ SV189 @ SV231 @ SV257 @ SV271 @ SY1090 )
            | ( eqangle @ SV231 @ SV257 @ SV271 @ SY1090 @ SV23 @ SV79 @ SV135 @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[593]) ).

thf(643,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                        | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
                  | ~ ( midp @ SV232 @ SV82 @ SV190 ) )
            | ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[594]) ).

thf(644,plain,
    ! [SV139: $i,SV83: $i,SV27: $i,SV191: $i] :
      ( ( ( ~ ( cong @ SV191 @ SV27 @ SV191 @ SV83 )
          | ~ ( cong @ SV191 @ SV27 @ SV191 @ SV139 ) )
        = $true )
      | ( ( circle @ SV191 @ SV27 @ SV83 @ SV139 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[595]) ).

thf(645,plain,
    ! [SV258: $i,SV233: $i,SV192: $i,SV140: $i,SV84: $i,SV28: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV28 @ SV84 @ SV140 @ SV192 )
                | ~ ( cong @ SV140 @ SV192 @ SV233 @ SV258 ) ) )
        = $true )
      | ( ( cong @ SV28 @ SV84 @ SV233 @ SV258 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[596]) ).

thf(646,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ! [SY1068: $i] :
            ~ ~ ! [SY1069: $i] :
                  ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                                      | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                                | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
                          | ~ ( ( SV234 != SV259 ) ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1068 @ SV29 @ SV141 )
                                    | ~ ( cong @ SY1068 @ SV259 @ SV259 @ SV29 ) )
                              | ~ ( coll @ SY1069 @ SV85 @ SV193 ) )
                        | ~ ( cong @ SY1069 @ SV259 @ SV259 @ SV29 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(647,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
              | ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) )
        | ~ ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
            | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[598]) ).

thf(648,plain,
    ! [SV272: $i,SV260: $i,SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ! [SY1091: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SV272 @ SY1091 )
                  | ~ ( cong @ SV235 @ SV260 @ SV272 @ SY1091 ) )
            | ( cong @ SV33 @ SV89 @ SV145 @ SV196 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[600]) ).

thf(649,plain,
    ! [SV90: $i,SV34: $i,SV146: $i] :
      ( ( ( ~ ( eqangle @ SV146 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SV146 @ SV90 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV146 @ SV34 @ SV90 ) )
        = $true )
      | ( ( cong @ SV146 @ SV34 @ SV146 @ SV90 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[601]) ).

thf(650,plain,
    ! [SV198: $i,SV93: $i,SV149: $i,SV37: $i] :
      ( ( ( ~ ( cong @ SV37 @ SV149 @ SV93 @ SV149 )
          | ~ ( cong @ SV37 @ SV198 @ SV93 @ SV198 ) )
        = $true )
      | ( ( perp @ SV37 @ SV93 @ SV149 @ SV198 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[603]) ).

thf(651,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ! [SY1072: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                                | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                          | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
                    | ~ ( coll @ SV261 @ SV38 @ SV94 ) )
              | ~ ( ~ ( coll @ SV236 @ SV261 @ SY1072 )
                  | ~ ( coll @ SY1072 @ SV150 @ SV199 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(652,plain,
    ! [SV273: $i,SV262: $i,SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ! [SY1092: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SV273 @ SY1092 )
                  | ~ ( perp @ SV237 @ SV262 @ SV273 @ SY1092 ) )
            | ( perp @ SV40 @ SV96 @ SV152 @ SV200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[605]) ).

thf(653,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV201 @ SV41 @ SV97 )
                    | ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) )
              | ~ ( coll @ SV238 @ SV41 @ SV153 ) ) )
        = $false )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[606]) ).

thf(654,plain,
    ! [SV263: $i,SV239: $i,SV202: $i,SV154: $i,SV98: $i,SV42: $i] :
      ( ( ( ~ ( para @ SV42 @ SV98 @ SV154 @ SV202 ) )
        = $true )
      | ( ( eqangle @ SV42 @ SV98 @ SV239 @ SV263 @ SV154 @ SV202 @ SV239 @ SV263 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[607]) ).

thf(655,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
                    | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) )
              | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) ) )
        = $false )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[608]) ).

thf(656,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
                | ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
              | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[609]) ).

thf(657,plain,
    ! [SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY1093: $i,SY1094: $i,SY1095: $i,SY1096: $i,SY1097: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SY1093 )
                  | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SY1093 @ SY1094 @ SY1095 @ SY1096 @ SY1097 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SY1094 @ SY1095 @ SY1096 @ SY1097 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[610]) ).

thf(658,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
              | ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) )
        | ~ ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
            | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[611]) ).

thf(659,plain,
    ! [SV242: $i,SV159: $i,SV103: $i,SV47: $i,SV206: $i] :
      ( ( ( ~ ( ~ ( circle @ SV206 @ SV47 @ SV103 @ SV159 )
              | ~ ( midp @ SV242 @ SV103 @ SV159 ) ) )
        = $false )
      | ( ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SV206 @ SV103 @ SV206 @ SV242 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[612]) ).

thf(660,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV243 @ SV48 @ SV104 )
                    | ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) )
              | ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) ) )
        = $false )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(661,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
              | ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) )
        | ~ ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
            | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[614]) ).

thf(662,plain,
    ! [SV275: $i,SV265: $i,SV244: $i,SV209: $i,SV163: $i,SV107: $i,SV51: $i] :
      ( ( ! [SY1098: $i] :
            ( ~ ( eqangle @ SV51 @ SV107 @ SV163 @ SV209 @ SV244 @ SV265 @ SV275 @ SY1098 )
            | ( eqangle @ SV51 @ SV107 @ SV244 @ SV265 @ SV163 @ SV209 @ SV275 @ SY1098 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[615]) ).

thf(663,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ~ ! [SY1083: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
                      | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                                | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                          | ~ ( coll @ SY1083 @ SV164 @ SV52 ) )
                    | ~ ( perp @ SV108 @ SY1083 @ SV164 @ SV52 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[616]) ).

thf(664,plain,
    ! [SV211: $i,SV109: $i,SV53: $i,SV165: $i] :
      ( ( ( ~ ( eqangle @ SV165 @ SV53 @ SV165 @ SV109 @ SV211 @ SV53 @ SV211 @ SV109 )
          | ~ ( coll @ SV165 @ SV211 @ SV109 ) )
        = $true )
      | ( ( cyclic @ SV53 @ SV109 @ SV165 @ SV211 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[617]) ).

thf(665,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ~ ! [SY1099: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                                  | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                            | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
                      | ~ ( coll @ SV212 @ SV54 @ SV110 ) )
                | ( midp @ SY1099 @ SV54 @ SV276 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[618]) ).

thf(666,plain,
    ! [SV213: $i,SV111: $i,SV55: $i,SV167: $i] :
      ( ( ( ~ ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SV213 @ SV55 @ SV213 @ SV111 )
          | ~ ~ ( coll @ SV167 @ SV213 @ SV55 ) )
        = $true )
      | ( ( cyclic @ SV55 @ SV111 @ SV167 @ SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[619]) ).

thf(667,plain,
    ! [SV277: $i,SV267: $i,SV246: $i,SV215: $i,SV169: $i,SV113: $i,SV57: $i,SV1: $i] :
      ( ( ~ ( eqangle @ SV1 @ SV57 @ SV113 @ SV169 @ SV215 @ SV246 @ SV267 @ SV277 )
        | ( eqangle @ SV57 @ SV1 @ SV113 @ SV169 @ SV215 @ SV246 @ SV267 @ SV277 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[621]) ).

thf(668,plain,
    ! [SV170: $i,SV58: $i,SV2: $i,SV114: $i] :
      ( ( ( ~ ( midp @ SV114 @ SV2 @ SV58 ) )
        = $true )
      | ( ( ~ ( perp @ SV170 @ SV114 @ SV2 @ SV58 ) )
        = $true )
      | ( ( cong @ SV170 @ SV2 @ SV170 @ SV58 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[622]) ).

thf(669,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ~ ( ~ ~ ( ~ ( midp @ SV216 @ SV3 @ SV59 )
                  | ~ ( midp @ SV247 @ SV115 @ SV171 ) )
            | ~ ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                      | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
                | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[623]) ).

thf(670,plain,
    ! [SV116: $i,SV217: $i,SV60: $i,SV4: $i,SV172: $i] :
      ( ( ( ~ ( midp @ SV172 @ SV4 @ SV60 )
          | ~ ( midp @ SV217 @ SV4 @ SV116 ) )
        = $true )
      | ( ( para @ SV172 @ SV217 @ SV60 @ SV116 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[624]) ).

thf(671,plain,
    ! [SV173: $i,SV117: $i,SV61: $i,SV5: $i] :
      ( ( ( ~ ( coll @ SV5 @ SV61 @ SV117 ) )
        = $true )
      | ( ( ~ ( coll @ SV5 @ SV61 @ SV173 ) )
        = $true )
      | ( ( coll @ SV117 @ SV173 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[625]) ).

thf(672,plain,
    ! [SV278: $i,SV268: $i,SV248: $i,SV218: $i,SV174: $i,SV118: $i,SV62: $i,SV6: $i] :
      ( ( ~ ( eqangle @ SV6 @ SV62 @ SV118 @ SV174 @ SV218 @ SV248 @ SV268 @ SV278 )
        | ( eqangle @ SV118 @ SV174 @ SV6 @ SV62 @ SV268 @ SV278 @ SV218 @ SV248 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[626]) ).

thf(673,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
              | ~ ( coll @ SV63 @ SV175 @ SV219 ) )
        | ~ ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
            | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[627]) ).

thf(674,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
                | ~ ( coll @ SV220 @ SV64 @ SV120 ) )
          | ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) )
        = $true )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[628]) ).

thf(675,plain,
    ! [SV279: $i,SV269: $i,SV249: $i,SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SV269 @ SV279 )
              | ~ ( para @ SV221 @ SV249 @ SV269 @ SV279 ) )
        | ( para @ SV10 @ SV66 @ SV122 @ SV177 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[629]) ).

thf(676,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ! [SY1089: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                                | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
                          | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
                    | ~ ( coll @ SV178 @ SV222 @ SV250 ) )
              | ~ ( ~ ( coll @ SY1089 @ SV11 @ SV222 )
                  | ~ ( coll @ SY1089 @ SV270 @ SV250 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(677,plain,
    ! [SV251: $i,SV223: $i,SV179: $i,SV124: $i,SV68: $i,SV12: $i] :
      ( ( ( contri @ SV12 @ SV68 @ SV124 @ SV179 @ SV223 @ SV251 )
        = $false )
      | ( ( cong @ SV12 @ SV68 @ SV179 @ SV223 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[631]) ).

thf(678,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
                | ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
              | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[632]) ).

thf(679,plain,
    ! [SV181: $i,SV126: $i,SV70: $i,SV14: $i] :
      ( ( ( ~ ( perp @ SV14 @ SV70 @ SV70 @ SV126 ) )
        = $true )
      | ( ( ~ ( midp @ SV181 @ SV14 @ SV126 ) )
        = $true )
      | ( ( cong @ SV14 @ SV181 @ SV70 @ SV181 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[633]) ).

thf(680,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                          | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
                    | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
              | ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) ) )
        = $false )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(681,plain,
    ! [SV183: $i,SV128: $i,SV72: $i,SV16: $i,SV225: $i] :
      ( ( ( ~ ( midp @ SV225 @ SV16 @ SV72 )
          | ~ ( midp @ SV225 @ SV128 @ SV183 ) )
        = $true )
      | ( ( para @ SV16 @ SV128 @ SV72 @ SV183 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[635]) ).

thf(682,plain,
    ! [SV253: $i,SV226: $i,SV184: $i,SV129: $i,SV73: $i,SV17: $i] :
      ( ( ( simtri @ SV17 @ SV73 @ SV129 @ SV184 @ SV226 @ SV253 )
        = $false )
      | ( ( eqangle @ SV17 @ SV73 @ SV73 @ SV129 @ SV184 @ SV226 @ SV226 @ SV253 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[636]) ).

thf(683,plain,
    ! [SV185: $i,SV130: $i,SV254: $i,SV74: $i,SV18: $i,SV227: $i] :
      ( ( ( ~ ( ~ ( midp @ SV227 @ SV18 @ SV74 )
              | ~ ( midp @ SV254 @ SV130 @ SV185 ) ) )
        = $false )
      | ( ( eqratio @ SV227 @ SV18 @ SV18 @ SV74 @ SV254 @ SV130 @ SV130 @ SV185 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[637]) ).

thf(684,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
              | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
        | ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
            | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[638]) ).

thf(685,plain,
    ! [SV132: $i,SV76: $i,SV20: $i] :
      ( ( ( cong @ SV20 @ SV76 @ SV20 @ SV132 )
        = $false )
      | ( ( ~ ( coll @ SV20 @ SV76 @ SV132 ) )
        = $true )
      | ( ( midp @ SV20 @ SV76 @ SV132 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[639]) ).

thf(686,plain,
    ! [SV187: $i,SV133: $i,SV255: $i,SV229: $i,SV77: $i,SV21: $i] :
      ( ( ( eqangle @ SV21 @ SV77 @ SV229 @ SV255 @ SV133 @ SV187 @ SV229 @ SV255 )
        = $false )
      | ( ( para @ SV21 @ SV77 @ SV133 @ SV187 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[640]) ).

thf(687,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
                    | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) )
              | ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) ) )
        = $false )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(688,plain,
    ! [SV280: $i,SV271: $i,SV257: $i,SV231: $i,SV189: $i,SV135: $i,SV79: $i,SV23: $i] :
      ( ( ~ ( eqangle @ SV23 @ SV79 @ SV135 @ SV189 @ SV231 @ SV257 @ SV271 @ SV280 )
        | ( eqangle @ SV231 @ SV257 @ SV271 @ SV280 @ SV23 @ SV79 @ SV135 @ SV189 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[642]) ).

thf(689,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                    | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
              | ~ ( midp @ SV232 @ SV82 @ SV190 ) )
        | ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[643]) ).

thf(690,plain,
    ! [SV139: $i,SV83: $i,SV27: $i,SV191: $i] :
      ( ( ( ~ ( cong @ SV191 @ SV27 @ SV191 @ SV83 ) )
        = $true )
      | ( ( ~ ( cong @ SV191 @ SV27 @ SV191 @ SV139 ) )
        = $true )
      | ( ( circle @ SV191 @ SV27 @ SV83 @ SV139 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[644]) ).

thf(691,plain,
    ! [SV258: $i,SV233: $i,SV192: $i,SV140: $i,SV84: $i,SV28: $i] :
      ( ( ( ~ ( ~ ( cong @ SV28 @ SV84 @ SV140 @ SV192 )
              | ~ ( cong @ SV140 @ SV192 @ SV233 @ SV258 ) ) )
        = $false )
      | ( ( cong @ SV28 @ SV84 @ SV233 @ SV258 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[645]) ).

thf(692,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ~ ~ ! [SY1100: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                                    | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                              | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
                        | ~ ( ( SV234 != SV259 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                                  | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                            | ~ ( coll @ SY1100 @ SV85 @ SV193 ) )
                      | ~ ( cong @ SY1100 @ SV259 @ SV259 @ SV29 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[646]) ).

thf(693,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
                | ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
              | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[647]) ).

thf(694,plain,
    ! [SV281: $i,SV272: $i,SV260: $i,SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ~ ~ ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SV272 @ SV281 )
              | ~ ( cong @ SV235 @ SV260 @ SV272 @ SV281 ) )
        | ( cong @ SV33 @ SV89 @ SV145 @ SV196 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[648]) ).

thf(695,plain,
    ! [SV90: $i,SV34: $i,SV146: $i] :
      ( ( ( eqangle @ SV146 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SV146 @ SV90 )
        = $false )
      | ( ( ~ ~ ( coll @ SV146 @ SV34 @ SV90 ) )
        = $true )
      | ( ( cong @ SV146 @ SV34 @ SV146 @ SV90 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[649]) ).

thf(696,plain,
    ! [SV198: $i,SV93: $i,SV149: $i,SV37: $i] :
      ( ( ( ~ ( cong @ SV37 @ SV149 @ SV93 @ SV149 ) )
        = $true )
      | ( ( ~ ( cong @ SV37 @ SV198 @ SV93 @ SV198 ) )
        = $true )
      | ( ( perp @ SV37 @ SV93 @ SV149 @ SV198 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[650]) ).

thf(697,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                              | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                        | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
                  | ~ ( coll @ SV261 @ SV38 @ SV94 ) )
            | ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
                | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[651]) ).

thf(698,plain,
    ! [SV282: $i,SV273: $i,SV262: $i,SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SV273 @ SV282 )
              | ~ ( perp @ SV237 @ SV262 @ SV273 @ SV282 ) )
        | ( perp @ SV40 @ SV96 @ SV152 @ SV200 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[652]) ).

thf(699,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV201 @ SV41 @ SV97 )
                | ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) )
          | ~ ( coll @ SV238 @ SV41 @ SV153 ) )
        = $true )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[653]) ).

thf(700,plain,
    ! [SV263: $i,SV239: $i,SV202: $i,SV154: $i,SV98: $i,SV42: $i] :
      ( ( ( para @ SV42 @ SV98 @ SV154 @ SV202 )
        = $false )
      | ( ( eqangle @ SV42 @ SV98 @ SV239 @ SV263 @ SV154 @ SV202 @ SV239 @ SV263 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[654]) ).

thf(701,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
                | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) )
          | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[655]) ).

thf(702,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ( ~ ( ~ ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
              | ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
              | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[656]) ).

thf(703,plain,
    ! [SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY1101: $i,SY1102: $i,SY1103: $i,SY1104: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
                  | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SY1101 @ SY1102 @ SY1103 @ SY1104 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SY1101 @ SY1102 @ SY1103 @ SY1104 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[657]) ).

thf(704,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
                | ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
              | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[658]) ).

thf(705,plain,
    ! [SV242: $i,SV159: $i,SV103: $i,SV47: $i,SV206: $i] :
      ( ( ( ~ ( circle @ SV206 @ SV47 @ SV103 @ SV159 )
          | ~ ( midp @ SV242 @ SV103 @ SV159 ) )
        = $true )
      | ( ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SV206 @ SV103 @ SV206 @ SV242 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[659]) ).

thf(706,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV243 @ SV48 @ SV104 )
                | ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) )
          | ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
        = $true )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[660]) ).

thf(707,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
                | ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
              | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[661]) ).

thf(708,plain,
    ! [SV284: $i,SV275: $i,SV265: $i,SV244: $i,SV209: $i,SV163: $i,SV107: $i,SV51: $i] :
      ( ( ~ ( eqangle @ SV51 @ SV107 @ SV163 @ SV209 @ SV244 @ SV265 @ SV275 @ SV284 )
        | ( eqangle @ SV51 @ SV107 @ SV244 @ SV265 @ SV163 @ SV209 @ SV275 @ SV284 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[662]) ).

thf(709,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ! [SY1083: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
                    | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                              | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                        | ~ ( coll @ SY1083 @ SV164 @ SV52 ) )
                  | ~ ( perp @ SV108 @ SY1083 @ SV164 @ SV52 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(710,plain,
    ! [SV211: $i,SV109: $i,SV53: $i,SV165: $i] :
      ( ( ( ~ ( eqangle @ SV165 @ SV53 @ SV165 @ SV109 @ SV211 @ SV53 @ SV211 @ SV109 ) )
        = $true )
      | ( ( ~ ( coll @ SV165 @ SV211 @ SV109 ) )
        = $true )
      | ( ( cyclic @ SV53 @ SV109 @ SV165 @ SV211 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[664]) ).

thf(711,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ! [SY1099: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                                | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                          | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
                    | ~ ( coll @ SV212 @ SV54 @ SV110 ) )
              | ( midp @ SY1099 @ SV54 @ SV276 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(712,plain,
    ! [SV213: $i,SV111: $i,SV55: $i,SV167: $i] :
      ( ( ( ~ ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SV213 @ SV55 @ SV213 @ SV111 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV167 @ SV213 @ SV55 ) )
        = $true )
      | ( ( cyclic @ SV55 @ SV111 @ SV167 @ SV213 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[666]) ).

thf(713,plain,
    ! [SV277: $i,SV267: $i,SV246: $i,SV215: $i,SV169: $i,SV113: $i,SV57: $i,SV1: $i] :
      ( ( ( ~ ( eqangle @ SV1 @ SV57 @ SV113 @ SV169 @ SV215 @ SV246 @ SV267 @ SV277 ) )
        = $true )
      | ( ( eqangle @ SV57 @ SV1 @ SV113 @ SV169 @ SV215 @ SV246 @ SV267 @ SV277 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[667]) ).

thf(714,plain,
    ! [SV170: $i,SV58: $i,SV2: $i,SV114: $i] :
      ( ( ( midp @ SV114 @ SV2 @ SV58 )
        = $false )
      | ( ( ~ ( perp @ SV170 @ SV114 @ SV2 @ SV58 ) )
        = $true )
      | ( ( cong @ SV170 @ SV2 @ SV170 @ SV58 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[668]) ).

thf(715,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV216 @ SV3 @ SV59 )
              | ~ ( midp @ SV247 @ SV115 @ SV171 ) )
        | ~ ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                  | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
            | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[669]) ).

thf(716,plain,
    ! [SV116: $i,SV217: $i,SV60: $i,SV4: $i,SV172: $i] :
      ( ( ( ~ ( midp @ SV172 @ SV4 @ SV60 ) )
        = $true )
      | ( ( ~ ( midp @ SV217 @ SV4 @ SV116 ) )
        = $true )
      | ( ( para @ SV172 @ SV217 @ SV60 @ SV116 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[670]) ).

thf(717,plain,
    ! [SV173: $i,SV117: $i,SV61: $i,SV5: $i] :
      ( ( ( coll @ SV5 @ SV61 @ SV117 )
        = $false )
      | ( ( ~ ( coll @ SV5 @ SV61 @ SV173 ) )
        = $true )
      | ( ( coll @ SV117 @ SV173 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(718,plain,
    ! [SV278: $i,SV268: $i,SV248: $i,SV218: $i,SV174: $i,SV118: $i,SV62: $i,SV6: $i] :
      ( ( ( ~ ( eqangle @ SV6 @ SV62 @ SV118 @ SV174 @ SV218 @ SV248 @ SV268 @ SV278 ) )
        = $true )
      | ( ( eqangle @ SV118 @ SV174 @ SV6 @ SV62 @ SV268 @ SV278 @ SV218 @ SV248 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[672]) ).

thf(719,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
                | ~ ( coll @ SV63 @ SV175 @ SV219 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
              | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[673]) ).

thf(720,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
                | ~ ( coll @ SV220 @ SV64 @ SV120 ) ) )
        = $true )
      | ( ( ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) )
        = $true )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[674]) ).

thf(721,plain,
    ! [SV279: $i,SV269: $i,SV249: $i,SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SV269 @ SV279 )
                | ~ ( para @ SV221 @ SV249 @ SV269 @ SV279 ) ) )
        = $true )
      | ( ( para @ SV10 @ SV66 @ SV122 @ SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[675]) ).

thf(722,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                              | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
                        | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
                  | ~ ( coll @ SV178 @ SV222 @ SV250 ) )
            | ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
                | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[676]) ).

thf(723,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ( ~ ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
              | ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
              | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(724,plain,
    ! [SV181: $i,SV126: $i,SV70: $i,SV14: $i] :
      ( ( ( perp @ SV14 @ SV70 @ SV70 @ SV126 )
        = $false )
      | ( ( ~ ( midp @ SV181 @ SV14 @ SV126 ) )
        = $true )
      | ( ( cong @ SV14 @ SV181 @ SV70 @ SV181 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(725,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                      | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
                | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
          | ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[680]) ).

thf(726,plain,
    ! [SV183: $i,SV128: $i,SV72: $i,SV16: $i,SV225: $i] :
      ( ( ( ~ ( midp @ SV225 @ SV16 @ SV72 ) )
        = $true )
      | ( ( ~ ( midp @ SV225 @ SV128 @ SV183 ) )
        = $true )
      | ( ( para @ SV16 @ SV128 @ SV72 @ SV183 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[681]) ).

thf(727,plain,
    ! [SV185: $i,SV130: $i,SV254: $i,SV74: $i,SV18: $i,SV227: $i] :
      ( ( ( ~ ( midp @ SV227 @ SV18 @ SV74 )
          | ~ ( midp @ SV254 @ SV130 @ SV185 ) )
        = $true )
      | ( ( eqratio @ SV227 @ SV18 @ SV18 @ SV74 @ SV254 @ SV130 @ SV130 @ SV185 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[683]) ).

thf(728,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
                | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
              | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(729,plain,
    ! [SV132: $i,SV76: $i,SV20: $i] :
      ( ( ( coll @ SV20 @ SV76 @ SV132 )
        = $false )
      | ( ( cong @ SV20 @ SV76 @ SV20 @ SV132 )
        = $false )
      | ( ( midp @ SV20 @ SV76 @ SV132 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[685]) ).

thf(730,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
                | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) )
          | ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        = $true )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[687]) ).

thf(731,plain,
    ! [SV280: $i,SV271: $i,SV257: $i,SV231: $i,SV189: $i,SV135: $i,SV79: $i,SV23: $i] :
      ( ( ( ~ ( eqangle @ SV23 @ SV79 @ SV135 @ SV189 @ SV231 @ SV257 @ SV271 @ SV280 ) )
        = $true )
      | ( ( eqangle @ SV231 @ SV257 @ SV271 @ SV280 @ SV23 @ SV79 @ SV135 @ SV189 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[688]) ).

thf(732,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                      | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
                | ~ ( midp @ SV232 @ SV82 @ SV190 ) ) )
        = $true )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[689]) ).

thf(733,plain,
    ! [SV139: $i,SV83: $i,SV27: $i,SV191: $i] :
      ( ( ( cong @ SV191 @ SV27 @ SV191 @ SV83 )
        = $false )
      | ( ( ~ ( cong @ SV191 @ SV27 @ SV191 @ SV139 ) )
        = $true )
      | ( ( circle @ SV191 @ SV27 @ SV83 @ SV139 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[690]) ).

thf(734,plain,
    ! [SV258: $i,SV233: $i,SV192: $i,SV140: $i,SV84: $i,SV28: $i] :
      ( ( ( ~ ( cong @ SV28 @ SV84 @ SV140 @ SV192 )
          | ~ ( cong @ SV140 @ SV192 @ SV233 @ SV258 ) )
        = $true )
      | ( ( cong @ SV28 @ SV84 @ SV233 @ SV258 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(735,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ~ ! [SY1100: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                                  | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                            | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
                      | ~ ( ( SV234 != SV259 ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                                | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                          | ~ ( coll @ SY1100 @ SV85 @ SV193 ) )
                    | ~ ( cong @ SY1100 @ SV259 @ SV259 @ SV29 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(736,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ( ~ ( ~ ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
              | ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
              | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[693]) ).

thf(737,plain,
    ! [SV281: $i,SV272: $i,SV260: $i,SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ( ~ ~ ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SV272 @ SV281 )
                | ~ ( cong @ SV235 @ SV260 @ SV272 @ SV281 ) ) )
        = $true )
      | ( ( cong @ SV33 @ SV89 @ SV145 @ SV196 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[694]) ).

thf(738,plain,
    ! [SV90: $i,SV34: $i,SV146: $i] :
      ( ( ( ~ ( coll @ SV146 @ SV34 @ SV90 ) )
        = $false )
      | ( ( eqangle @ SV146 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SV146 @ SV90 )
        = $false )
      | ( ( cong @ SV146 @ SV34 @ SV146 @ SV90 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[695]) ).

thf(739,plain,
    ! [SV198: $i,SV93: $i,SV149: $i,SV37: $i] :
      ( ( ( cong @ SV37 @ SV149 @ SV93 @ SV149 )
        = $false )
      | ( ( ~ ( cong @ SV37 @ SV198 @ SV93 @ SV198 ) )
        = $true )
      | ( ( perp @ SV37 @ SV93 @ SV149 @ SV198 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[696]) ).

thf(740,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                          | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                    | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
              | ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        | ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
            | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[697]) ).

thf(741,plain,
    ! [SV282: $i,SV273: $i,SV262: $i,SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SV273 @ SV282 )
                | ~ ( perp @ SV237 @ SV262 @ SV273 @ SV282 ) ) )
        = $true )
      | ( ( perp @ SV40 @ SV96 @ SV152 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[698]) ).

thf(742,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV201 @ SV41 @ SV97 )
                | ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV238 @ SV41 @ SV153 ) )
        = $true )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[699]) ).

thf(743,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
                | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) ) )
        = $true )
      | ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[701]) ).

thf(744,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ( ~ ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
          | ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
              | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[702]) ).

thf(745,plain,
    ! [SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY1105: $i,SY1106: $i,SY1107: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
                  | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SY1105 @ SY1106 @ SY1107 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SY1105 @ SY1106 @ SY1107 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[703]) ).

thf(746,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ( ~ ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
              | ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
              | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[704]) ).

thf(747,plain,
    ! [SV242: $i,SV159: $i,SV103: $i,SV47: $i,SV206: $i] :
      ( ( ( ~ ( circle @ SV206 @ SV47 @ SV103 @ SV159 ) )
        = $true )
      | ( ( ~ ( midp @ SV242 @ SV103 @ SV159 ) )
        = $true )
      | ( ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SV206 @ SV103 @ SV206 @ SV242 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[705]) ).

thf(748,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV243 @ SV48 @ SV104 )
                | ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) ) )
        = $true )
      | ( ( ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
        = $true )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[706]) ).

thf(749,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ( ~ ( ~ ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
              | ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
              | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(750,plain,
    ! [SV284: $i,SV275: $i,SV265: $i,SV244: $i,SV209: $i,SV163: $i,SV107: $i,SV51: $i] :
      ( ( ( ~ ( eqangle @ SV51 @ SV107 @ SV163 @ SV209 @ SV244 @ SV265 @ SV275 @ SV284 ) )
        = $true )
      | ( ( eqangle @ SV51 @ SV107 @ SV244 @ SV265 @ SV163 @ SV209 @ SV275 @ SV284 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[708]) ).

thf(751,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
                  | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                            | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                      | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
                | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[709]) ).

thf(752,plain,
    ! [SV211: $i,SV109: $i,SV53: $i,SV165: $i] :
      ( ( ( eqangle @ SV165 @ SV53 @ SV165 @ SV109 @ SV211 @ SV53 @ SV211 @ SV109 )
        = $false )
      | ( ( ~ ( coll @ SV165 @ SV211 @ SV109 ) )
        = $true )
      | ( ( cyclic @ SV53 @ SV109 @ SV165 @ SV211 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[710]) ).

thf(753,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                              | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                        | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
                  | ~ ( coll @ SV212 @ SV54 @ SV110 ) )
            | ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[711]) ).

thf(754,plain,
    ! [SV213: $i,SV111: $i,SV55: $i,SV167: $i] :
      ( ( ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SV213 @ SV55 @ SV213 @ SV111 )
        = $false )
      | ( ( ~ ~ ( coll @ SV167 @ SV213 @ SV55 ) )
        = $true )
      | ( ( cyclic @ SV55 @ SV111 @ SV167 @ SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[712]) ).

thf(755,plain,
    ! [SV277: $i,SV267: $i,SV246: $i,SV215: $i,SV169: $i,SV113: $i,SV57: $i,SV1: $i] :
      ( ( ( eqangle @ SV1 @ SV57 @ SV113 @ SV169 @ SV215 @ SV246 @ SV267 @ SV277 )
        = $false )
      | ( ( eqangle @ SV57 @ SV1 @ SV113 @ SV169 @ SV215 @ SV246 @ SV267 @ SV277 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[713]) ).

thf(756,plain,
    ! [SV58: $i,SV2: $i,SV114: $i,SV170: $i] :
      ( ( ( perp @ SV170 @ SV114 @ SV2 @ SV58 )
        = $false )
      | ( ( midp @ SV114 @ SV2 @ SV58 )
        = $false )
      | ( ( cong @ SV170 @ SV2 @ SV170 @ SV58 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[714]) ).

thf(757,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV216 @ SV3 @ SV59 )
                | ~ ( midp @ SV247 @ SV115 @ SV171 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                    | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
              | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[715]) ).

thf(758,plain,
    ! [SV116: $i,SV217: $i,SV60: $i,SV4: $i,SV172: $i] :
      ( ( ( midp @ SV172 @ SV4 @ SV60 )
        = $false )
      | ( ( ~ ( midp @ SV217 @ SV4 @ SV116 ) )
        = $true )
      | ( ( para @ SV172 @ SV217 @ SV60 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(759,plain,
    ! [SV117: $i,SV173: $i,SV61: $i,SV5: $i] :
      ( ( ( coll @ SV5 @ SV61 @ SV173 )
        = $false )
      | ( ( coll @ SV5 @ SV61 @ SV117 )
        = $false )
      | ( ( coll @ SV117 @ SV173 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[717]) ).

thf(760,plain,
    ! [SV278: $i,SV268: $i,SV248: $i,SV218: $i,SV174: $i,SV118: $i,SV62: $i,SV6: $i] :
      ( ( ( eqangle @ SV6 @ SV62 @ SV118 @ SV174 @ SV218 @ SV248 @ SV268 @ SV278 )
        = $false )
      | ( ( eqangle @ SV118 @ SV174 @ SV6 @ SV62 @ SV268 @ SV278 @ SV218 @ SV248 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(761,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
              | ~ ( coll @ SV63 @ SV175 @ SV219 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
              | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[719]) ).

thf(762,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ( ~ ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
              | ~ ( coll @ SV220 @ SV64 @ SV120 ) ) )
        = $false )
      | ( ( ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) )
        = $true )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[720]) ).

thf(763,plain,
    ! [SV279: $i,SV269: $i,SV249: $i,SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SV269 @ SV279 )
              | ~ ( para @ SV221 @ SV249 @ SV269 @ SV279 ) ) )
        = $false )
      | ( ( para @ SV10 @ SV66 @ SV122 @ SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[721]) ).

thf(764,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                          | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
                    | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
              | ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        | ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
            | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[722]) ).

thf(765,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
          | ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
              | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[723]) ).

thf(766,plain,
    ! [SV70: $i,SV126: $i,SV14: $i,SV181: $i] :
      ( ( ( midp @ SV181 @ SV14 @ SV126 )
        = $false )
      | ( ( perp @ SV14 @ SV70 @ SV70 @ SV126 )
        = $false )
      | ( ( cong @ SV14 @ SV181 @ SV70 @ SV181 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[724]) ).

thf(767,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                      | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
                | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) ) )
        = $true )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[725]) ).

thf(768,plain,
    ! [SV183: $i,SV128: $i,SV72: $i,SV16: $i,SV225: $i] :
      ( ( ( midp @ SV225 @ SV16 @ SV72 )
        = $false )
      | ( ( ~ ( midp @ SV225 @ SV128 @ SV183 ) )
        = $true )
      | ( ( para @ SV16 @ SV128 @ SV72 @ SV183 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(769,plain,
    ! [SV185: $i,SV130: $i,SV254: $i,SV74: $i,SV18: $i,SV227: $i] :
      ( ( ( ~ ( midp @ SV227 @ SV18 @ SV74 ) )
        = $true )
      | ( ( ~ ( midp @ SV254 @ SV130 @ SV185 ) )
        = $true )
      | ( ( eqratio @ SV227 @ SV18 @ SV18 @ SV74 @ SV254 @ SV130 @ SV130 @ SV185 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[727]) ).

thf(770,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
              | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) ) )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
              | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[728]) ).

thf(771,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
                | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        = $true )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[730]) ).

thf(772,plain,
    ! [SV280: $i,SV271: $i,SV257: $i,SV231: $i,SV189: $i,SV135: $i,SV79: $i,SV23: $i] :
      ( ( ( eqangle @ SV23 @ SV79 @ SV135 @ SV189 @ SV231 @ SV257 @ SV271 @ SV280 )
        = $false )
      | ( ( eqangle @ SV231 @ SV257 @ SV271 @ SV280 @ SV23 @ SV79 @ SV135 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[731]) ).

thf(773,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                    | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
              | ~ ( midp @ SV232 @ SV82 @ SV190 ) ) )
        = $false )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(774,plain,
    ! [SV83: $i,SV139: $i,SV27: $i,SV191: $i] :
      ( ( ( cong @ SV191 @ SV27 @ SV191 @ SV139 )
        = $false )
      | ( ( cong @ SV191 @ SV27 @ SV191 @ SV83 )
        = $false )
      | ( ( circle @ SV191 @ SV27 @ SV83 @ SV139 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[733]) ).

thf(775,plain,
    ! [SV258: $i,SV233: $i,SV192: $i,SV140: $i,SV84: $i,SV28: $i] :
      ( ( ( ~ ( cong @ SV28 @ SV84 @ SV140 @ SV192 ) )
        = $true )
      | ( ( ~ ( cong @ SV140 @ SV192 @ SV233 @ SV258 ) )
        = $true )
      | ( ( cong @ SV28 @ SV84 @ SV233 @ SV258 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[734]) ).

thf(776,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ! [SY1100: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                                | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                          | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
                    | ~ ( ( SV234 != SV259 ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                              | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                        | ~ ( coll @ SY1100 @ SV85 @ SV193 ) )
                  | ~ ( cong @ SY1100 @ SV259 @ SV259 @ SV29 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[735]) ).

thf(777,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ( ~ ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
          | ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
              | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[736]) ).

thf(778,plain,
    ! [SV281: $i,SV272: $i,SV260: $i,SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ( ~ ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SV272 @ SV281 )
              | ~ ( cong @ SV235 @ SV260 @ SV272 @ SV281 ) ) )
        = $false )
      | ( ( cong @ SV33 @ SV89 @ SV145 @ SV196 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[737]) ).

thf(779,plain,
    ! [SV90: $i,SV34: $i,SV146: $i] :
      ( ( ( coll @ SV146 @ SV34 @ SV90 )
        = $true )
      | ( ( eqangle @ SV146 @ SV34 @ SV34 @ SV90 @ SV34 @ SV90 @ SV146 @ SV90 )
        = $false )
      | ( ( cong @ SV146 @ SV34 @ SV146 @ SV90 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(780,plain,
    ! [SV149: $i,SV93: $i,SV198: $i,SV37: $i] :
      ( ( ( cong @ SV37 @ SV198 @ SV93 @ SV198 )
        = $false )
      | ( ( cong @ SV37 @ SV149 @ SV93 @ SV149 )
        = $false )
      | ( ( perp @ SV37 @ SV93 @ SV149 @ SV198 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[739]) ).

thf(781,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                            | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                      | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
                | ~ ( coll @ SV261 @ SV38 @ SV94 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[740]) ).

thf(782,plain,
    ! [SV282: $i,SV273: $i,SV262: $i,SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SV273 @ SV282 )
              | ~ ( perp @ SV237 @ SV262 @ SV273 @ SV282 ) ) )
        = $false )
      | ( ( perp @ SV40 @ SV96 @ SV152 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(783,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ( ~ ( ~ ( midp @ SV201 @ SV41 @ SV97 )
              | ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV238 @ SV41 @ SV153 ) )
        = $true )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(784,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ( ~ ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
              | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) ) )
        = $false )
      | ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(785,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ( ~ ( cong @ SV156 @ SV44 @ SV156 @ SV100 ) )
        = $true )
      | ( ( ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
              | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[744]) ).

thf(786,plain,
    ! [SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY1108: $i,SY1109: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
                  | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SY1108 @ SY1109 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SY1108 @ SY1109 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[745]) ).

thf(787,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
          | ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
              | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[746]) ).

thf(788,plain,
    ! [SV242: $i,SV159: $i,SV103: $i,SV47: $i,SV206: $i] :
      ( ( ( circle @ SV206 @ SV47 @ SV103 @ SV159 )
        = $false )
      | ( ( ~ ( midp @ SV242 @ SV103 @ SV159 ) )
        = $true )
      | ( ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SV206 @ SV103 @ SV206 @ SV242 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[747]) ).

thf(789,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ( ~ ( ~ ( midp @ SV243 @ SV48 @ SV104 )
              | ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) ) )
        = $false )
      | ( ( ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
        = $true )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[748]) ).

thf(790,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ( ~ ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
          | ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
              | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[749]) ).

thf(791,plain,
    ! [SV284: $i,SV275: $i,SV265: $i,SV244: $i,SV209: $i,SV163: $i,SV107: $i,SV51: $i] :
      ( ( ( eqangle @ SV51 @ SV107 @ SV163 @ SV209 @ SV244 @ SV265 @ SV275 @ SV284 )
        = $false )
      | ( ( eqangle @ SV51 @ SV107 @ SV244 @ SV265 @ SV163 @ SV209 @ SV275 @ SV284 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[750]) ).

thf(792,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
              | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                        | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                  | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
            | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[751]) ).

thf(793,plain,
    ! [SV53: $i,SV109: $i,SV211: $i,SV165: $i] :
      ( ( ( coll @ SV165 @ SV211 @ SV109 )
        = $false )
      | ( ( eqangle @ SV165 @ SV53 @ SV165 @ SV109 @ SV211 @ SV53 @ SV211 @ SV109 )
        = $false )
      | ( ( cyclic @ SV53 @ SV109 @ SV165 @ SV211 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[752]) ).

thf(794,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                          | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                    | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
              | ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        | ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(795,plain,
    ! [SV111: $i,SV55: $i,SV213: $i,SV167: $i] :
      ( ( ( ~ ( coll @ SV167 @ SV213 @ SV55 ) )
        = $false )
      | ( ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SV213 @ SV55 @ SV213 @ SV111 )
        = $false )
      | ( ( cyclic @ SV55 @ SV111 @ SV167 @ SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(796,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ( ~ ( ~ ( midp @ SV216 @ SV3 @ SV59 )
              | ~ ( midp @ SV247 @ SV115 @ SV171 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                    | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
              | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[757]) ).

thf(797,plain,
    ! [SV60: $i,SV172: $i,SV116: $i,SV4: $i,SV217: $i] :
      ( ( ( midp @ SV217 @ SV4 @ SV116 )
        = $false )
      | ( ( midp @ SV172 @ SV4 @ SV60 )
        = $false )
      | ( ( para @ SV172 @ SV217 @ SV60 @ SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[758]) ).

thf(798,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
          | ~ ( coll @ SV63 @ SV175 @ SV219 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
              | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[761]) ).

thf(799,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
          | ~ ( coll @ SV220 @ SV64 @ SV120 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) )
        = $true )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[762]) ).

thf(800,plain,
    ! [SV279: $i,SV269: $i,SV249: $i,SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SV269 @ SV279 )
          | ~ ( para @ SV221 @ SV249 @ SV269 @ SV279 ) )
        = $true )
      | ( ( para @ SV10 @ SV66 @ SV122 @ SV177 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[763]) ).

thf(801,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                            | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
                      | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
                | ~ ( coll @ SV178 @ SV222 @ SV250 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[764]) ).

thf(802,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ( ~ ( cong @ SV125 @ SV13 @ SV125 @ SV69 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
              | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[765]) ).

thf(803,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                    | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
              | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) ) )
        = $false )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[767]) ).

thf(804,plain,
    ! [SV72: $i,SV16: $i,SV183: $i,SV128: $i,SV225: $i] :
      ( ( ( midp @ SV225 @ SV128 @ SV183 )
        = $false )
      | ( ( midp @ SV225 @ SV16 @ SV72 )
        = $false )
      | ( ( para @ SV16 @ SV128 @ SV72 @ SV183 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[768]) ).

thf(805,plain,
    ! [SV185: $i,SV130: $i,SV254: $i,SV74: $i,SV18: $i,SV227: $i] :
      ( ( ( midp @ SV227 @ SV18 @ SV74 )
        = $false )
      | ( ( ~ ( midp @ SV254 @ SV130 @ SV185 ) )
        = $true )
      | ( ( eqratio @ SV227 @ SV18 @ SV18 @ SV74 @ SV254 @ SV130 @ SV130 @ SV185 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[769]) ).

thf(806,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
          | ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
              | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[770]) ).

thf(807,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
              | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) ) )
        = $false )
      | ( ( ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        = $true )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(808,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
          | ~ ( midp @ SV232 @ SV82 @ SV190 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[773]) ).

thf(809,plain,
    ! [SV258: $i,SV233: $i,SV192: $i,SV140: $i,SV84: $i,SV28: $i] :
      ( ( ( cong @ SV28 @ SV84 @ SV140 @ SV192 )
        = $false )
      | ( ( ~ ( cong @ SV140 @ SV192 @ SV233 @ SV258 ) )
        = $true )
      | ( ( cong @ SV28 @ SV84 @ SV233 @ SV258 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(810,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                              | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                        | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
                  | ~ ( ( SV234 != SV259 ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                            | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                      | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
                | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[776]) ).

thf(811,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ( ~ ( perp @ SV142 @ SV194 @ SV30 @ SV86 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
              | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[777]) ).

thf(812,plain,
    ! [SV281: $i,SV272: $i,SV260: $i,SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SV272 @ SV281 )
          | ~ ( cong @ SV235 @ SV260 @ SV272 @ SV281 ) )
        = $true )
      | ( ( cong @ SV33 @ SV89 @ SV145 @ SV196 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[778]) ).

thf(813,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                          | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                    | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
              | ~ ( coll @ SV261 @ SV38 @ SV94 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[781]) ).

thf(814,plain,
    ! [SV282: $i,SV273: $i,SV262: $i,SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SV273 @ SV282 )
          | ~ ( perp @ SV237 @ SV262 @ SV273 @ SV282 ) )
        = $true )
      | ( ( perp @ SV40 @ SV96 @ SV152 @ SV200 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[782]) ).

thf(815,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ( ~ ( midp @ SV201 @ SV41 @ SV97 )
          | ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) )
        = $true )
      | ( ( ~ ( coll @ SV238 @ SV41 @ SV153 ) )
        = $true )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[783]) ).

thf(816,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
          | ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) )
        = $true )
      | ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[784]) ).

thf(817,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
        = $false )
      | ( ( ~ ( perp @ SV44 @ SV156 @ SV156 @ SV100 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
              | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[785]) ).

thf(818,plain,
    ! [SV287: $i,SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ! [SY1110: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
                  | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SV287 @ SY1110 ) )
            | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SV287 @ SY1110 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[786]) ).

thf(819,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ( ~ ( perp @ SV158 @ SV102 @ SV102 @ SV46 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
              | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[787]) ).

thf(820,plain,
    ! [SV47: $i,SV206: $i,SV159: $i,SV103: $i,SV242: $i] :
      ( ( ( midp @ SV242 @ SV103 @ SV159 )
        = $false )
      | ( ( circle @ SV206 @ SV47 @ SV103 @ SV159 )
        = $false )
      | ( ( eqangle @ SV47 @ SV103 @ SV47 @ SV159 @ SV206 @ SV103 @ SV206 @ SV242 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[788]) ).

thf(821,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ( ~ ( midp @ SV243 @ SV48 @ SV104 )
          | ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) )
        = $true )
      | ( ( ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
        = $true )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[789]) ).

thf(822,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ( ~ ( perp @ SV162 @ SV208 @ SV50 @ SV106 ) )
        = $true )
      | ( ( ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
              | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[790]) ).

thf(823,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
                | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                          | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                    | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
              | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[792]) ).

thf(824,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                            | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                      | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
                | ~ ( coll @ SV212 @ SV54 @ SV110 ) ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[794]) ).

thf(825,plain,
    ! [SV111: $i,SV55: $i,SV213: $i,SV167: $i] :
      ( ( ( coll @ SV167 @ SV213 @ SV55 )
        = $true )
      | ( ( eqangle @ SV167 @ SV55 @ SV167 @ SV111 @ SV213 @ SV55 @ SV213 @ SV111 )
        = $false )
      | ( ( cyclic @ SV55 @ SV111 @ SV167 @ SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[795]) ).

thf(826,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ( ~ ( midp @ SV216 @ SV3 @ SV59 )
          | ~ ( midp @ SV247 @ SV115 @ SV171 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                    | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
              | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[796]) ).

thf(827,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ( ~ ( perp @ SV7 @ SV119 @ SV119 @ SV63 ) )
        = $true )
      | ( ( ~ ( coll @ SV63 @ SV175 @ SV219 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
              | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[798]) ).

thf(828,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ( ~ ( circle @ SV176 @ SV8 @ SV64 @ SV120 ) )
        = $true )
      | ( ( ~ ( coll @ SV220 @ SV64 @ SV120 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) )
        = $true )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[799]) ).

thf(829,plain,
    ! [SV279: $i,SV269: $i,SV249: $i,SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ( ~ ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SV269 @ SV279 ) )
        = $true )
      | ( ( ~ ( para @ SV221 @ SV249 @ SV269 @ SV279 ) )
        = $true )
      | ( ( para @ SV10 @ SV66 @ SV122 @ SV177 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[800]) ).

thf(830,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                          | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
                    | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
              | ~ ( coll @ SV178 @ SV222 @ SV250 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[801]) ).

thf(831,plain,
    ! [SV180: $i,SV69: $i,SV13: $i,SV125: $i] :
      ( ( ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
        = $false )
      | ( ( ~ ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
              | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[802]) ).

thf(832,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
          | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[803]) ).

thf(833,plain,
    ! [SV74: $i,SV18: $i,SV227: $i,SV185: $i,SV130: $i,SV254: $i] :
      ( ( ( midp @ SV254 @ SV130 @ SV185 )
        = $false )
      | ( ( midp @ SV227 @ SV18 @ SV74 )
        = $false )
      | ( ( eqratio @ SV227 @ SV18 @ SV18 @ SV74 @ SV254 @ SV130 @ SV130 @ SV185 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[805]) ).

thf(834,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
              | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[806]) ).

thf(835,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
          | ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        = $true )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[807]) ).

thf(836,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
                | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) ) )
        = $true )
      | ( ( ~ ( midp @ SV232 @ SV82 @ SV190 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[808]) ).

thf(837,plain,
    ! [SV84: $i,SV28: $i,SV258: $i,SV233: $i,SV192: $i,SV140: $i] :
      ( ( ( cong @ SV140 @ SV192 @ SV233 @ SV258 )
        = $false )
      | ( ( cong @ SV28 @ SV84 @ SV140 @ SV192 )
        = $false )
      | ( ( cong @ SV28 @ SV84 @ SV233 @ SV258 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[809]) ).

thf(838,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                          | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                    | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
              | ~ ( ( SV234 != SV259 ) ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                        | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                  | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
            | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[810]) ).

thf(839,plain,
    ! [SV86: $i,SV30: $i,SV194: $i,SV142: $i] :
      ( ( ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
        = $false )
      | ( ( ~ ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
              | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[811]) ).

thf(840,plain,
    ! [SV281: $i,SV272: $i,SV260: $i,SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ( ~ ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SV272 @ SV281 ) )
        = $true )
      | ( ( ~ ( cong @ SV235 @ SV260 @ SV272 @ SV281 ) )
        = $true )
      | ( ( cong @ SV33 @ SV89 @ SV145 @ SV196 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[812]) ).

thf(841,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                      | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
          | ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[813]) ).

thf(842,plain,
    ! [SV282: $i,SV273: $i,SV262: $i,SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ( ~ ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SV273 @ SV282 ) )
        = $true )
      | ( ( ~ ( perp @ SV237 @ SV262 @ SV273 @ SV282 ) )
        = $true )
      | ( ( perp @ SV40 @ SV96 @ SV152 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[814]) ).

thf(843,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ( ~ ( midp @ SV201 @ SV41 @ SV97 ) )
        = $true )
      | ( ( ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) )
        = $true )
      | ( ( ~ ( coll @ SV238 @ SV41 @ SV153 ) )
        = $true )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[815]) ).

thf(844,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV99 ) )
        = $true )
      | ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) )
        = $true )
      | ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[816]) ).

thf(845,plain,
    ! [SV100: $i,SV156: $i,SV44: $i] :
      ( ( ( perp @ SV44 @ SV156 @ SV156 @ SV100 )
        = $false )
      | ( ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
              | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[817]) ).

thf(846,plain,
    ! [SV288: $i,SV287: $i,SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
              | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SV287 @ SV288 ) )
        | ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SV287 @ SV288 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[818]) ).

thf(847,plain,
    ! [SV205: $i,SV46: $i,SV102: $i,SV158: $i] :
      ( ( ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
        = $false )
      | ( ( ~ ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
              | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[819]) ).

thf(848,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ( ~ ( midp @ SV243 @ SV48 @ SV104 ) )
        = $true )
      | ( ( ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) )
        = $true )
      | ( ( ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
        = $true )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[821]) ).

thf(849,plain,
    ! [SV106: $i,SV50: $i,SV208: $i,SV162: $i] :
      ( ( ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
        = $false )
      | ( ( ~ ( cong @ SV162 @ SV50 @ SV162 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
              | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(850,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ( ~ ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
              | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                          | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                    | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
              | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[823]) ).

thf(851,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                          | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                    | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
              | ~ ( coll @ SV212 @ SV54 @ SV110 ) ) )
        = $false )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[824]) ).

thf(852,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ( ~ ( midp @ SV216 @ SV3 @ SV59 ) )
        = $true )
      | ( ( ~ ( midp @ SV247 @ SV115 @ SV171 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                    | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
              | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[826]) ).

thf(853,plain,
    ! [SV219: $i,SV175: $i,SV63: $i,SV119: $i,SV7: $i] :
      ( ( ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
        = $false )
      | ( ( ~ ( coll @ SV63 @ SV175 @ SV219 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
              | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[827]) ).

thf(854,plain,
    ! [SV220: $i,SV120: $i,SV64: $i,SV8: $i,SV176: $i] :
      ( ( ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
        = $false )
      | ( ( ~ ( coll @ SV220 @ SV64 @ SV120 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) )
        = $true )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[828]) ).

thf(855,plain,
    ! [SV279: $i,SV269: $i,SV249: $i,SV221: $i,SV177: $i,SV122: $i,SV66: $i,SV10: $i] :
      ( ( ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SV269 @ SV279 )
        = $false )
      | ( ( ~ ( para @ SV221 @ SV249 @ SV269 @ SV279 ) )
        = $true )
      | ( ( para @ SV10 @ SV66 @ SV122 @ SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[829]) ).

thf(856,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                      | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
                | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
          | ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[830]) ).

thf(857,plain,
    ! [SV69: $i,SV180: $i,SV125: $i,SV13: $i] :
      ( ( ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 )
        = $false )
      | ( ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
              | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(858,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
                | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) ) )
        = $true )
      | ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[832]) ).

thf(859,plain,
    ! [SV228: $i,SV186: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
        = $false )
      | ( ( ~ ~ ( coll @ SV19 @ SV75 @ SV131 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
              | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[834]) ).

thf(860,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( ~ ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        = $true )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[835]) ).

thf(861,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ( ~ ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
              | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) ) )
        = $false )
      | ( ( ~ ( midp @ SV232 @ SV82 @ SV190 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(862,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                            | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                      | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
                | ~ ( ( SV234 != SV259 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[838]) ).

thf(863,plain,
    ! [SV86: $i,SV194: $i,SV142: $i,SV30: $i] :
      ( ( ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 )
        = $false )
      | ( ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
              | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(864,plain,
    ! [SV281: $i,SV272: $i,SV260: $i,SV235: $i,SV196: $i,SV145: $i,SV89: $i,SV33: $i] :
      ( ( ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SV272 @ SV281 )
        = $false )
      | ( ( ~ ( cong @ SV235 @ SV260 @ SV272 @ SV281 ) )
        = $true )
      | ( ( cong @ SV33 @ SV89 @ SV145 @ SV196 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[840]) ).

thf(865,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                      | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
                | ~ ( coll @ SV236 @ SV94 @ SV199 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[841]) ).

thf(866,plain,
    ! [SV282: $i,SV273: $i,SV262: $i,SV237: $i,SV200: $i,SV152: $i,SV96: $i,SV40: $i] :
      ( ( ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SV273 @ SV282 )
        = $false )
      | ( ( ~ ( perp @ SV237 @ SV262 @ SV273 @ SV282 ) )
        = $true )
      | ( ( perp @ SV40 @ SV96 @ SV152 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[842]) ).

thf(867,plain,
    ! [SV153: $i,SV238: $i,SV97: $i,SV41: $i,SV201: $i] :
      ( ( ( midp @ SV201 @ SV41 @ SV97 )
        = $false )
      | ( ( ~ ( para @ SV201 @ SV238 @ SV97 @ SV153 ) )
        = $true )
      | ( ( ~ ( coll @ SV238 @ SV41 @ SV153 ) )
        = $true )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[843]) ).

thf(868,plain,
    ! [SV203: $i,SV155: $i,SV99: $i,SV43: $i,SV240: $i] :
      ( ( ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
        = $false )
      | ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV155 ) )
        = $true )
      | ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[844]) ).

thf(869,plain,
    ! [SV100: $i,SV156: $i,SV44: $i] :
      ( ( ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
          | ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) )
        = $false )
      | ( ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
        = $false )
      | ( ( perp @ SV44 @ SV156 @ SV156 @ SV100 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[845]) ).

thf(870,plain,
    ! [SV288: $i,SV287: $i,SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
                | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SV287 @ SV288 ) ) )
        = $true )
      | ( ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SV287 @ SV288 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[846]) ).

thf(871,plain,
    ! [SV46: $i,SV102: $i,SV158: $i,SV205: $i] :
      ( ( ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 )
        = $false )
      | ( ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
              | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[847]) ).

thf(872,plain,
    ! [SV207: $i,SV160: $i,SV104: $i,SV48: $i,SV243: $i] :
      ( ( ( midp @ SV243 @ SV48 @ SV104 )
        = $false )
      | ( ( ~ ( para @ SV48 @ SV160 @ SV104 @ SV207 ) )
        = $true )
      | ( ( ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
        = $true )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[848]) ).

thf(873,plain,
    ! [SV208: $i,SV106: $i,SV50: $i,SV162: $i] :
      ( ( ( cong @ SV162 @ SV50 @ SV162 @ SV106 )
        = $false )
      | ( ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
              | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[849]) ).

thf(874,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
          | ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                          | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                    | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
              | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[850]) ).

thf(875,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                      | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
          | ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[851]) ).

thf(876,plain,
    ! [SV171: $i,SV115: $i,SV247: $i,SV59: $i,SV3: $i,SV216: $i] :
      ( ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( ~ ( midp @ SV247 @ SV115 @ SV171 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                    | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
              | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[852]) ).

thf(877,plain,
    ! [SV119: $i,SV7: $i,SV219: $i,SV175: $i,SV63: $i] :
      ( ( ( coll @ SV63 @ SV175 @ SV219 )
        = $false )
      | ( ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
              | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[853]) ).

thf(878,plain,
    ! [SV8: $i,SV176: $i,SV120: $i,SV64: $i,SV220: $i] :
      ( ( ( coll @ SV220 @ SV64 @ SV120 )
        = $false )
      | ( ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
        = $false )
      | ( ( ~ ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 ) )
        = $true )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[854]) ).

thf(879,plain,
    ! [SV177: $i,SV122: $i,SV66: $i,SV10: $i,SV279: $i,SV269: $i,SV249: $i,SV221: $i] :
      ( ( ( para @ SV221 @ SV249 @ SV269 @ SV279 )
        = $false )
      | ( ( eqangle @ SV10 @ SV66 @ SV122 @ SV177 @ SV221 @ SV249 @ SV269 @ SV279 )
        = $false )
      | ( ( para @ SV10 @ SV66 @ SV122 @ SV177 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[855]) ).

thf(880,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                      | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
                | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[856]) ).

thf(881,plain,
    ! [SV125: $i,SV180: $i,SV13: $i,SV69: $i] :
      ( ( ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
          | ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) )
        = $false )
      | ( ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
        = $false )
      | ( ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[857]) ).

thf(882,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
              | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) ) )
        = $false )
      | ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(883,plain,
    ! [SV228: $i,SV186: $i,SV131: $i,SV75: $i,SV19: $i] :
      ( ( ( ~ ( coll @ SV19 @ SV75 @ SV131 ) )
        = $false )
      | ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
              | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[859]) ).

thf(884,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
        = $false )
      | ( ( ~ ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        = $true )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[860]) ).

thf(885,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
          | ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
        = $true )
      | ( ( ~ ( midp @ SV232 @ SV82 @ SV190 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[861]) ).

thf(886,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                          | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                    | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
              | ~ ( ( SV234 != SV259 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[862]) ).

thf(887,plain,
    ! [SV142: $i,SV194: $i,SV30: $i,SV86: $i] :
      ( ( ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
          | ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) )
        = $false )
      | ( ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
        = $false )
      | ( ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[863]) ).

thf(888,plain,
    ! [SV196: $i,SV145: $i,SV89: $i,SV33: $i,SV281: $i,SV272: $i,SV260: $i,SV235: $i] :
      ( ( ( cong @ SV235 @ SV260 @ SV272 @ SV281 )
        = $false )
      | ( ( eqratio @ SV33 @ SV89 @ SV145 @ SV196 @ SV235 @ SV260 @ SV272 @ SV281 )
        = $false )
      | ( ( cong @ SV33 @ SV89 @ SV145 @ SV196 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[864]) ).

thf(889,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                    | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
              | ~ ( coll @ SV236 @ SV94 @ SV199 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[865]) ).

thf(890,plain,
    ! [SV200: $i,SV152: $i,SV96: $i,SV40: $i,SV282: $i,SV273: $i,SV262: $i,SV237: $i] :
      ( ( ( perp @ SV237 @ SV262 @ SV273 @ SV282 )
        = $false )
      | ( ( eqangle @ SV40 @ SV96 @ SV152 @ SV200 @ SV237 @ SV262 @ SV273 @ SV282 )
        = $false )
      | ( ( perp @ SV40 @ SV96 @ SV152 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[866]) ).

thf(891,plain,
    ! [SV41: $i,SV153: $i,SV97: $i,SV238: $i,SV201: $i] :
      ( ( ( para @ SV201 @ SV238 @ SV97 @ SV153 )
        = $false )
      | ( ( midp @ SV201 @ SV41 @ SV97 )
        = $false )
      | ( ( ~ ( coll @ SV238 @ SV41 @ SV153 ) )
        = $true )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(892,plain,
    ! [SV203: $i,SV99: $i,SV155: $i,SV43: $i,SV240: $i] :
      ( ( ( cong @ SV240 @ SV43 @ SV240 @ SV155 )
        = $false )
      | ( ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
        = $false )
      | ( ( ~ ( cong @ SV240 @ SV43 @ SV240 @ SV203 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(893,plain,
    ! [SV100: $i,SV156: $i,SV44: $i] :
      ( ( ( ~ ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) )
        = $false )
      | ( ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
        = $false )
      | ( ( perp @ SV44 @ SV156 @ SV156 @ SV100 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[869]) ).

thf(894,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ( ~ ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) ) )
        = $false )
      | ( ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
        = $false )
      | ( ( perp @ SV44 @ SV156 @ SV156 @ SV100 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[869]) ).

thf(895,plain,
    ! [SV288: $i,SV287: $i,SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
              | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SV287 @ SV288 ) ) )
        = $false )
      | ( ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SV287 @ SV288 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(896,plain,
    ! [SV158: $i,SV102: $i,SV46: $i,SV205: $i] :
      ( ( ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
          | ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) )
        = $false )
      | ( ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
        = $false )
      | ( ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(897,plain,
    ! [SV243: $i,SV207: $i,SV104: $i,SV160: $i,SV48: $i] :
      ( ( ( para @ SV48 @ SV160 @ SV104 @ SV207 )
        = $false )
      | ( ( midp @ SV243 @ SV48 @ SV104 )
        = $false )
      | ( ( ~ ( para @ SV48 @ SV207 @ SV104 @ SV160 ) )
        = $true )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(898,plain,
    ! [SV162: $i,SV208: $i,SV50: $i,SV106: $i] :
      ( ( ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
          | ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) )
        = $false )
      | ( ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
        = $false )
      | ( ( cong @ SV162 @ SV50 @ SV162 @ SV106 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(899,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ( ~ ( perp @ SV52 @ SV210 @ SV108 @ SV164 ) )
        = $true )
      | ( ( ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                          | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                    | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
              | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[874]) ).

thf(900,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                      | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
                | ~ ( coll @ SV166 @ SV54 @ SV110 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[875]) ).

thf(901,plain,
    ! [SV59: $i,SV3: $i,SV216: $i,SV171: $i,SV115: $i,SV247: $i] :
      ( ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                    | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
              | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(902,plain,
    ! [SV7: $i,SV119: $i,SV63: $i,SV175: $i,SV219: $i] :
      ( ( ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
          | ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) )
        = $false )
      | ( ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
        = $false )
      | ( ( coll @ SV63 @ SV175 @ SV219 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[877]) ).

thf(903,plain,
    ! [SV220: $i,SV176: $i,SV120: $i,SV64: $i,SV8: $i] :
      ( ( ( eqangle @ SV8 @ SV64 @ SV8 @ SV120 @ SV176 @ SV64 @ SV176 @ SV220 )
        = $false )
      | ( ( circle @ SV176 @ SV8 @ SV64 @ SV120 )
        = $false )
      | ( ( coll @ SV220 @ SV64 @ SV120 )
        = $false )
      | ( ( midp @ SV220 @ SV64 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(904,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                    | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
              | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[880]) ).

thf(905,plain,
    ! [SV125: $i,SV180: $i,SV13: $i,SV69: $i] :
      ( ( ( ~ ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) ) )
        = $false )
      | ( ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
        = $false )
      | ( ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[881]) ).

thf(906,plain,
    ! [SV125: $i,SV13: $i,SV69: $i,SV180: $i] :
      ( ( ( ~ ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 ) )
        = $false )
      | ( ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
        = $false )
      | ( ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[881]) ).

thf(907,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
          | ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[882]) ).

thf(908,plain,
    ! [SV228: $i,SV186: $i,SV131: $i,SV75: $i,SV19: $i] :
      ( ( ( coll @ SV19 @ SV75 @ SV131 )
        = $true )
      | ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
              | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[883]) ).

thf(909,plain,
    ! [SV230: $i,SV256: $i,SV188: $i,SV78: $i,SV134: $i,SV22: $i] :
      ( ( ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 )
        = $false )
      | ( ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
        = $false )
      | ( ( ~ ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        = $true )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[884]) ).

thf(910,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ( ~ ( perp @ SV26 @ SV82 @ SV26 @ SV138 ) )
        = $true )
      | ( ( ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
        = $true )
      | ( ( ~ ( midp @ SV232 @ SV82 @ SV190 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[885]) ).

thf(911,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                      | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
          | ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[886]) ).

thf(912,plain,
    ! [SV142: $i,SV194: $i,SV30: $i,SV86: $i] :
      ( ( ( ~ ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) ) )
        = $false )
      | ( ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
        = $false )
      | ( ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[887]) ).

thf(913,plain,
    ! [SV142: $i,SV194: $i,SV30: $i,SV86: $i] :
      ( ( ( ~ ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 ) )
        = $false )
      | ( ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
        = $false )
      | ( ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[887]) ).

thf(914,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
          | ~ ( coll @ SV236 @ SV94 @ SV199 ) )
        = $true )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[889]) ).

thf(915,plain,
    ! [SV97: $i,SV201: $i,SV153: $i,SV41: $i,SV238: $i] :
      ( ( ( coll @ SV238 @ SV41 @ SV153 )
        = $false )
      | ( ( midp @ SV201 @ SV41 @ SV97 )
        = $false )
      | ( ( para @ SV201 @ SV238 @ SV97 @ SV153 )
        = $false )
      | ( ( midp @ SV238 @ SV41 @ SV153 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[891]) ).

thf(916,plain,
    ! [SV155: $i,SV99: $i,SV203: $i,SV43: $i,SV240: $i] :
      ( ( ( cong @ SV240 @ SV43 @ SV240 @ SV203 )
        = $false )
      | ( ( cong @ SV240 @ SV43 @ SV240 @ SV99 )
        = $false )
      | ( ( cong @ SV240 @ SV43 @ SV240 @ SV155 )
        = $false )
      | ( ( cyclic @ SV43 @ SV99 @ SV155 @ SV203 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(917,plain,
    ! [SV100: $i,SV156: $i,SV44: $i] :
      ( ( ( coll @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
        = $true )
      | ( ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
        = $false )
      | ( ( perp @ SV44 @ SV156 @ SV156 @ SV100 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[893]) ).

thf(918,plain,
    ! [SV100: $i,SV44: $i,SV156: $i] :
      ( ( ( cong @ SV156 @ SV44 @ SV156 @ ( sK9_SY882 @ SV100 @ SV44 @ SV156 ) )
        = $true )
      | ( ( cong @ SV156 @ SV44 @ SV156 @ SV100 )
        = $false )
      | ( ( perp @ SV44 @ SV156 @ SV156 @ SV100 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[894]) ).

thf(919,plain,
    ! [SV288: $i,SV287: $i,SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
          | ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SV287 @ SV288 ) )
        = $true )
      | ( ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SV287 @ SV288 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[895]) ).

thf(920,plain,
    ! [SV158: $i,SV102: $i,SV46: $i,SV205: $i] :
      ( ( ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 ) )
        = $false )
      | ( ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
        = $false )
      | ( ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[896]) ).

thf(921,plain,
    ! [SV158: $i,SV102: $i,SV46: $i,SV205: $i] :
      ( ( ( ~ ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 ) )
        = $false )
      | ( ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
        = $false )
      | ( ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[896]) ).

thf(922,plain,
    ! [SV243: $i,SV160: $i,SV104: $i,SV207: $i,SV48: $i] :
      ( ( ( para @ SV48 @ SV207 @ SV104 @ SV160 )
        = $false )
      | ( ( midp @ SV243 @ SV48 @ SV104 )
        = $false )
      | ( ( para @ SV48 @ SV160 @ SV104 @ SV207 )
        = $false )
      | ( ( midp @ SV243 @ SV160 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[897]) ).

thf(923,plain,
    ! [SV162: $i,SV208: $i,SV50: $i,SV106: $i] :
      ( ( ( ~ ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) ) )
        = $false )
      | ( ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
        = $false )
      | ( ( cong @ SV162 @ SV50 @ SV162 @ SV106 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[898]) ).

thf(924,plain,
    ! [SV162: $i,SV208: $i,SV50: $i,SV106: $i] :
      ( ( ( ~ ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 ) )
        = $false )
      | ( ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
        = $false )
      | ( ( cong @ SV162 @ SV50 @ SV162 @ SV106 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[898]) ).

thf(925,plain,
    ! [SV164: $i,SV108: $i,SV210: $i,SV52: $i] :
      ( ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( ~ ( perp @ SV108 @ SV210 @ SV52 @ SV164 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                          | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                    | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
              | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[899]) ).

thf(926,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                    | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
              | ~ ( coll @ SV166 @ SV54 @ SV110 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(927,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
          | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) )
        = $false )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[901]) ).

thf(928,plain,
    ! [SV7: $i,SV119: $i,SV63: $i,SV175: $i,SV219: $i] :
      ( ( ( ~ ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 ) )
        = $false )
      | ( ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
        = $false )
      | ( ( coll @ SV63 @ SV175 @ SV219 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[902]) ).

thf(929,plain,
    ! [SV7: $i,SV119: $i,SV63: $i,SV175: $i,SV219: $i] :
      ( ( ( ~ ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 ) )
        = $false )
      | ( ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
        = $false )
      | ( ( coll @ SV63 @ SV175 @ SV219 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[902]) ).

thf(930,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
          | ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
        = $true )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[904]) ).

thf(931,plain,
    ! [SV125: $i,SV180: $i,SV13: $i,SV69: $i] :
      ( ( ( coll @ SV69 @ SV13 @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) )
        = $true )
      | ( ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
        = $false )
      | ( ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[905]) ).

thf(932,plain,
    ! [SV125: $i,SV13: $i,SV69: $i,SV180: $i] :
      ( ( ( coll @ ( sK10_SY941 @ SV180 @ SV69 @ SV13 @ SV125 ) @ SV125 @ SV180 )
        = $true )
      | ( ( cong @ SV125 @ SV13 @ SV125 @ SV69 )
        = $false )
      | ( ( eqangle @ SV13 @ SV125 @ SV125 @ SV180 @ SV125 @ SV180 @ SV125 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[906]) ).

thf(933,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[907]) ).

thf(934,plain,
    ! [SV186: $i,SV228: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
          | ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) )
        = $false )
      | ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
        = $false )
      | ( ( coll @ SV19 @ SV75 @ SV131 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(935,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( ~ ( coll @ SV22 @ SV78 @ SV134 ) )
        = $false )
      | ( ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
        = $false )
      | ( ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 )
        = $false )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[909]) ).

thf(936,plain,
    ! [SV232: $i,SV190: $i,SV138: $i,SV82: $i,SV26: $i] :
      ( ( ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
        = $false )
      | ( ( ~ ( perp @ SV138 @ SV26 @ SV138 @ SV190 ) )
        = $true )
      | ( ( ~ ( midp @ SV232 @ SV82 @ SV190 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(937,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                      | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
                | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) ) )
        = $true )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[911]) ).

thf(938,plain,
    ! [SV142: $i,SV194: $i,SV30: $i,SV86: $i] :
      ( ( ( coll @ SV86 @ SV30 @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) )
        = $true )
      | ( ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
        = $false )
      | ( ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[912]) ).

thf(939,plain,
    ! [SV142: $i,SV194: $i,SV30: $i,SV86: $i] :
      ( ( ( coll @ ( sK11_SY967 @ SV86 @ SV30 @ SV194 @ SV142 ) @ SV142 @ SV194 )
        = $true )
      | ( ( perp @ SV142 @ SV194 @ SV30 @ SV86 )
        = $false )
      | ( ( eqangle @ SV30 @ SV142 @ SV142 @ SV194 @ SV142 @ SV194 @ SV142 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[913]) ).

thf(940,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
                | ~ ( coll @ SV236 @ SV38 @ SV150 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV236 @ SV94 @ SV199 ) )
        = $true )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[914]) ).

thf(941,plain,
    ! [SV288: $i,SV287: $i,SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ( ~ ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SV287 @ SV288 ) )
        = $true )
      | ( ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SV287 @ SV288 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[919]) ).

thf(942,plain,
    ! [SV158: $i,SV102: $i,SV46: $i,SV205: $i] :
      ( ( ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV46 @ SV102 )
        = $true )
      | ( ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
        = $false )
      | ( ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[920]) ).

thf(943,plain,
    ! [SV158: $i,SV102: $i,SV46: $i,SV205: $i] :
      ( ( ( coll @ ( sK12_SY991 @ SV205 @ SV46 @ SV102 @ SV158 ) @ SV158 @ SV205 )
        = $true )
      | ( ( perp @ SV158 @ SV102 @ SV102 @ SV46 )
        = $false )
      | ( ( eqangle @ SV205 @ SV158 @ SV102 @ SV158 @ SV102 @ SV158 @ SV46 @ SV158 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[921]) ).

thf(944,plain,
    ! [SV162: $i,SV208: $i,SV50: $i,SV106: $i] :
      ( ( ( coll @ SV106 @ SV50 @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) )
        = $true )
      | ( ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
        = $false )
      | ( ( cong @ SV162 @ SV50 @ SV162 @ SV106 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[923]) ).

thf(945,plain,
    ! [SV162: $i,SV208: $i,SV50: $i,SV106: $i] :
      ( ( ( coll @ ( sK13_SY994 @ SV106 @ SV50 @ SV208 @ SV162 ) @ SV162 @ SV208 )
        = $true )
      | ( ( perp @ SV162 @ SV208 @ SV50 @ SV106 )
        = $false )
      | ( ( cong @ SV162 @ SV50 @ SV162 @ SV106 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[924]) ).

thf(946,plain,
    ! [SV164: $i,SV52: $i,SV210: $i,SV108: $i] :
      ( ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                          | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                    | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
              | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(947,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
          | ~ ( coll @ SV166 @ SV54 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[926]) ).

thf(948,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
                | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) ) )
        = $false )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[927]) ).

thf(949,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 ) )
        = $false )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[927]) ).

thf(950,plain,
    ! [SV7: $i,SV119: $i,SV63: $i,SV175: $i,SV219: $i] :
      ( ( ( coll @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV175 @ SV219 )
        = $true )
      | ( ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
        = $false )
      | ( ( coll @ SV63 @ SV175 @ SV219 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[928]) ).

thf(951,plain,
    ! [SV7: $i,SV119: $i,SV63: $i,SV175: $i,SV219: $i] :
      ( ( ( perp @ ( sK15_SY1013 @ SV219 @ SV175 @ SV63 @ SV119 @ SV7 ) @ SV7 @ SV175 @ SV219 )
        = $true )
      | ( ( perp @ SV7 @ SV119 @ SV119 @ SV63 )
        = $false )
      | ( ( coll @ SV63 @ SV175 @ SV219 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[929]) ).

thf(952,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
                | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) ) )
        = $true )
      | ( ( ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
        = $true )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[930]) ).

thf(953,plain,
    ! [SV252: $i,SV224: $i,SV182: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
        = $false )
      | ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(954,plain,
    ! [SV186: $i,SV228: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ( ~ ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) )
        = $false )
      | ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
        = $false )
      | ( ( coll @ SV19 @ SV75 @ SV131 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[934]) ).

thf(955,plain,
    ! [SV19: $i,SV228: $i,SV131: $i,SV75: $i,SV186: $i] :
      ( ( ( ~ ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) ) )
        = $false )
      | ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
        = $false )
      | ( ( coll @ SV19 @ SV75 @ SV131 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[934]) ).

thf(956,plain,
    ! [SV256: $i,SV230: $i,SV188: $i,SV134: $i,SV78: $i,SV22: $i] :
      ( ( ( coll @ SV22 @ SV78 @ SV134 )
        = $true )
      | ( ( eqangle @ SV22 @ SV78 @ SV78 @ SV134 @ SV188 @ SV230 @ SV230 @ SV256 )
        = $false )
      | ( ( eqangle @ SV22 @ SV134 @ SV78 @ SV134 @ SV188 @ SV256 @ SV230 @ SV256 )
        = $false )
      | ( ( simtri @ SV22 @ SV78 @ SV134 @ SV188 @ SV230 @ SV256 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[935]) ).

thf(957,plain,
    ! [SV232: $i,SV82: $i,SV190: $i,SV26: $i,SV138: $i] :
      ( ( ( perp @ SV138 @ SV26 @ SV138 @ SV190 )
        = $false )
      | ( ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
        = $false )
      | ( ( ~ ( midp @ SV232 @ SV82 @ SV190 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(958,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                    | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
              | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) ) )
        = $false )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(959,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
              | ~ ( coll @ SV236 @ SV38 @ SV150 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV236 @ SV94 @ SV199 ) )
        = $true )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[940]) ).

thf(960,plain,
    ! [SV288: $i,SV287: $i,SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i,SV204: $i,SV157: $i,SV101: $i,SV45: $i] :
      ( ( ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
        = $false )
      | ( ( ~ ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SV287 @ SV288 ) )
        = $true )
      | ( ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SV287 @ SV288 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[941]) ).

thf(961,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                      | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
          | ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[946]) ).

thf(962,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
                | ~ ( midp @ SV266 @ SV166 @ SV212 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV166 @ SV54 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[947]) ).

thf(963,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( ~ ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
              | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) ) )
        = $true )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[948]) ).

thf(964,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV247 @ SV3 @ SV115 )
        = $true )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[949]) ).

thf(965,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ( ~ ( midp @ SV270 @ SV11 @ SV67 )
              | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) ) )
        = $false )
      | ( ( ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
        = $true )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[952]) ).

thf(966,plain,
    ! [SV252: $i,SV182: $i,SV224: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 )
        = $false )
      | ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
        = $false )
      | ( ( ~ ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(967,plain,
    ! [SV186: $i,SV228: $i,SV75: $i,SV131: $i,SV19: $i] :
      ( ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) @ SV75 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
        = $true )
      | ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
        = $false )
      | ( ( coll @ SV19 @ SV75 @ SV131 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[954]) ).

thf(968,plain,
    ! [SV19: $i,SV228: $i,SV131: $i,SV75: $i,SV186: $i] :
      ( ( ( cyclic @ SV186 @ SV75 @ SV131 @ ( sK16_SY1024 @ SV228 @ SV186 @ SV75 @ SV131 @ SV19 ) )
        = $true )
      | ( ( eqangle @ SV19 @ SV131 @ SV75 @ SV131 @ SV19 @ SV186 @ SV75 @ SV228 )
        = $false )
      | ( ( coll @ SV19 @ SV75 @ SV131 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[955]) ).

thf(969,plain,
    ! [SV138: $i,SV26: $i,SV190: $i,SV82: $i,SV232: $i] :
      ( ( ( midp @ SV232 @ SV82 @ SV190 )
        = $false )
      | ( ( perp @ SV26 @ SV82 @ SV26 @ SV138 )
        = $false )
      | ( ( perp @ SV138 @ SV26 @ SV138 @ SV190 )
        = $false )
      | ( ( midp @ ( sK17_SY1030 @ SV232 @ SV190 @ SV138 @ SV82 @ SV26 ) @ SV26 @ SV138 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[957]) ).

thf(970,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
          | ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
        = $true )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[958]) ).

thf(971,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 )
          | ~ ( coll @ SV236 @ SV38 @ SV150 ) )
        = $true )
      | ( ( ~ ( coll @ SV236 @ SV94 @ SV199 ) )
        = $true )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[959]) ).

thf(972,plain,
    ! [SV204: $i,SV157: $i,SV101: $i,SV45: $i,SV288: $i,SV287: $i,SV286: $i,SV285: $i,SV283: $i,SV274: $i,SV264: $i,SV241: $i] :
      ( ( ( eqangle @ SV241 @ SV264 @ SV274 @ SV283 @ SV285 @ SV286 @ SV287 @ SV288 )
        = $false )
      | ( ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV241 @ SV264 @ SV274 @ SV283 )
        = $false )
      | ( ( eqangle @ SV45 @ SV101 @ SV157 @ SV204 @ SV285 @ SV286 @ SV287 @ SV288 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[960]) ).

thf(973,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                      | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
                | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[961]) ).

thf(974,plain,
    ! [SV52: $i,SV210: $i,SV164: $i,SV108: $i] :
      ( ( ( ~ ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[961]) ).

thf(975,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ( ~ ( midp @ SV245 @ SV54 @ SV110 )
              | ~ ( midp @ SV266 @ SV166 @ SV212 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV166 @ SV54 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[962]) ).

thf(976,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
          | ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
        = $false )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[963]) ).

thf(977,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ( midp @ SV270 @ SV11 @ SV67 )
          | ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
        = $true )
      | ( ( ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
        = $true )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[965]) ).

thf(978,plain,
    ! [SV224: $i,SV182: $i,SV252: $i,SV127: $i,SV71: $i,SV15: $i] :
      ( ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 )
        = $false )
      | ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
        = $false )
      | ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 )
        = $false )
      | ( ( ~ ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 ) )
        = $true )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[966]) ).

thf(979,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
                | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) ) )
        = $true )
      | ( ( ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
        = $true )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[970]) ).

thf(980,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( ~ ( para @ SV38 @ SV94 @ SV150 @ SV199 ) )
        = $true )
      | ( ( ~ ( coll @ SV236 @ SV38 @ SV150 ) )
        = $true )
      | ( ( ~ ( coll @ SV236 @ SV94 @ SV199 ) )
        = $true )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[971]) ).

thf(981,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                    | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
              | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) ) )
        = $true )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[973]) ).

thf(982,plain,
    ! [SV52: $i,SV210: $i,SV164: $i,SV108: $i] :
      ( ( ( perp @ SV108 @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 )
        = $true )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[974]) ).

thf(983,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ( midp @ SV245 @ SV54 @ SV110 )
          | ~ ( midp @ SV266 @ SV166 @ SV212 ) )
        = $true )
      | ( ( ~ ( coll @ SV166 @ SV54 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[975]) ).

thf(984,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( ~ ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 ) )
        = $false )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[976]) ).

thf(985,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( ~ ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 ) )
        = $false )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[976]) ).

thf(986,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( ~ ( midp @ SV270 @ SV11 @ SV67 ) )
        = $true )
      | ( ( ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
        = $true )
      | ( ( ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
        = $true )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[977]) ).

thf(987,plain,
    ! [SV224: $i,SV182: $i,SV252: $i,SV71: $i,SV15: $i,SV127: $i] :
      ( ( ( eqangle @ SV127 @ SV15 @ SV127 @ SV71 @ SV252 @ SV182 @ SV252 @ SV224 )
        = $false )
      | ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV224 )
        = $false )
      | ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV182 )
        = $false )
      | ( ( cyclic @ SV15 @ SV71 @ SV127 @ SV252 )
        = $false )
      | ( ( cong @ SV15 @ SV71 @ SV182 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[978]) ).

thf(988,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
              | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) ) )
        = $false )
      | ( ( ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
        = $true )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[979]) ).

thf(989,plain,
    ! [SV261: $i,SV236: $i,SV199: $i,SV150: $i,SV94: $i,SV38: $i] :
      ( ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( ~ ( coll @ SV236 @ SV38 @ SV150 ) )
        = $true )
      | ( ( ~ ( coll @ SV236 @ SV94 @ SV199 ) )
        = $true )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[980]) ).

thf(990,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
          | ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[981]) ).

thf(991,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( ~ ( midp @ SV245 @ SV54 @ SV110 ) )
        = $true )
      | ( ( ~ ( midp @ SV266 @ SV166 @ SV212 ) )
        = $true )
      | ( ( ~ ( coll @ SV166 @ SV54 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[983]) ).

thf(992,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( midp @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV3 @ SV171 )
        = $true )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[984]) ).

thf(993,plain,
    ! [SV216: $i,SV3: $i,SV59: $i,SV247: $i,SV115: $i,SV171: $i] :
      ( ( ( para @ ( sK18_SY1059 @ SV171 @ SV115 @ SV247 @ SV59 @ SV3 @ SV216 ) @ SV216 @ SV59 @ SV171 )
        = $true )
      | ( ( midp @ SV216 @ SV3 @ SV59 )
        = $false )
      | ( ( midp @ SV247 @ SV115 @ SV171 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[985]) ).

thf(994,plain,
    ! [SV222: $i,SV250: $i,SV178: $i,SV67: $i,SV11: $i,SV270: $i] :
      ( ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( ~ ( para @ SV11 @ SV178 @ SV250 @ SV270 ) )
        = $true )
      | ( ( ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
        = $true )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[986]) ).

thf(995,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
          | ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
        = $true )
      | ( ( ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
        = $true )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[988]) ).

thf(996,plain,
    ! [SV261: $i,SV199: $i,SV94: $i,SV150: $i,SV38: $i,SV236: $i] :
      ( ( ( coll @ SV236 @ SV38 @ SV150 )
        = $false )
      | ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( ~ ( coll @ SV236 @ SV94 @ SV199 ) )
        = $true )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[989]) ).

thf(997,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
                | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[990]) ).

thf(998,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[990]) ).

thf(999,plain,
    ! [SV276: $i,SV212: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV245: $i] :
      ( ( ( midp @ SV245 @ SV54 @ SV110 )
        = $false )
      | ( ( ~ ( midp @ SV266 @ SV166 @ SV212 ) )
        = $true )
      | ( ( ~ ( coll @ SV166 @ SV54 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[991]) ).

thf(1000,plain,
    ! [SV222: $i,SV67: $i,SV270: $i,SV250: $i,SV178: $i,SV11: $i] :
      ( ( ( para @ SV11 @ SV178 @ SV250 @ SV270 )
        = $false )
      | ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( ~ ( para @ SV11 @ SV178 @ SV67 @ SV222 ) )
        = $true )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[994]) ).

thf(1001,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( ~ ( circle @ SV234 @ SV29 @ SV85 @ SV141 ) )
        = $true )
      | ( ( ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
        = $true )
      | ( ( ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
        = $true )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[995]) ).

thf(1002,plain,
    ! [SV261: $i,SV150: $i,SV38: $i,SV199: $i,SV94: $i,SV236: $i] :
      ( ( ( coll @ SV236 @ SV94 @ SV199 )
        = $false )
      | ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( coll @ SV236 @ SV38 @ SV150 )
        = $false )
      | ( ( ~ ( coll @ SV261 @ SV38 @ SV94 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[996]) ).

thf(1003,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
              | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) ) )
        = $true )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[997]) ).

thf(1004,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( coll @ ( sK22_SY1083 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV52 )
        = $true )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[998]) ).

thf(1005,plain,
    ! [SV276: $i,SV110: $i,SV54: $i,SV245: $i,SV212: $i,SV166: $i,SV266: $i] :
      ( ( ( midp @ SV266 @ SV166 @ SV212 )
        = $false )
      | ( ( midp @ SV245 @ SV54 @ SV110 )
        = $false )
      | ( ( ~ ( coll @ SV166 @ SV54 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[999]) ).

thf(1006,plain,
    ! [SV250: $i,SV270: $i,SV222: $i,SV67: $i,SV178: $i,SV11: $i] :
      ( ( ( para @ SV11 @ SV178 @ SV67 @ SV222 )
        = $false )
      | ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV250 @ SV270 )
        = $false )
      | ( ( ~ ( coll @ SV178 @ SV222 @ SV250 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1000]) ).

thf(1007,plain,
    ! [SV259: $i,SV193: $i,SV141: $i,SV85: $i,SV29: $i,SV234: $i] :
      ( ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( ~ ( cong @ SV234 @ SV29 @ SV234 @ SV193 ) )
        = $true )
      | ( ( ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
        = $true )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1001]) ).

thf(1008,plain,
    ! [SV199: $i,SV150: $i,SV236: $i,SV94: $i,SV38: $i,SV261: $i] :
      ( ( ( coll @ SV261 @ SV38 @ SV94 )
        = $false )
      | ( ( coll @ SV236 @ SV38 @ SV150 )
        = $false )
      | ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( coll @ SV236 @ SV94 @ SV199 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
              | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1009,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
          | ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1003]) ).

thf(1010,plain,
    ! [SV276: $i,SV212: $i,SV266: $i,SV245: $i,SV110: $i,SV54: $i,SV166: $i] :
      ( ( ( coll @ SV166 @ SV54 @ SV110 )
        = $false )
      | ( ( midp @ SV245 @ SV54 @ SV110 )
        = $false )
      | ( ( midp @ SV266 @ SV166 @ SV212 )
        = $false )
      | ( ( ~ ( coll @ SV212 @ SV54 @ SV110 ) )
        = $true )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1005]) ).

thf(1011,plain,
    ! [SV67: $i,SV270: $i,SV11: $i,SV250: $i,SV222: $i,SV178: $i] :
      ( ( ( coll @ SV178 @ SV222 @ SV250 )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV250 @ SV270 )
        = $false )
      | ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV67 @ SV222 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
              | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1006]) ).

thf(1012,plain,
    ! [SV259: $i,SV141: $i,SV85: $i,SV193: $i,SV29: $i,SV234: $i] :
      ( ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( ~ ( cong @ SV259 @ SV29 @ SV259 @ SV85 ) )
        = $true )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1007]) ).

thf(1013,plain,
    ! [SV38: $i,SV94: $i,SV150: $i,SV199: $i,SV261: $i,SV236: $i] :
      ( ( ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
          | ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) )
        = $false )
      | ( ( coll @ SV236 @ SV94 @ SV199 )
        = $false )
      | ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( coll @ SV236 @ SV38 @ SV150 )
        = $false )
      | ( ( coll @ SV261 @ SV38 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1008]) ).

thf(1014,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( ~ ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1009]) ).

thf(1015,plain,
    ! [SV210: $i,SV108: $i,SV164: $i,SV52: $i] :
      ( ( ( ~ ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 ) )
        = $false )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1009]) ).

thf(1016,plain,
    ! [SV276: $i,SV245: $i,SV166: $i,SV266: $i,SV110: $i,SV54: $i,SV212: $i] :
      ( ( ( coll @ SV212 @ SV54 @ SV110 )
        = $false )
      | ( ( midp @ SV266 @ SV166 @ SV212 )
        = $false )
      | ( ( midp @ SV245 @ SV54 @ SV110 )
        = $false )
      | ( ( coll @ SV166 @ SV54 @ SV110 )
        = $false )
      | ( ( midp @ ( sK23_SY1099 @ SV276 @ SV212 @ SV166 @ SV266 @ SV110 @ SV54 @ SV245 ) @ SV54 @ SV276 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1010]) ).

thf(1017,plain,
    ! [SV270: $i,SV11: $i,SV67: $i,SV178: $i,SV250: $i,SV222: $i] :
      ( ( ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
          | ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV67 @ SV222 )
        = $false )
      | ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV250 @ SV270 )
        = $false )
      | ( ( coll @ SV178 @ SV222 @ SV250 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1011]) ).

thf(1018,plain,
    ! [SV193: $i,SV141: $i,SV234: $i,SV85: $i,SV29: $i,SV259: $i] :
      ( ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( ~ ( ( SV234 != SV259 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1012]) ).

thf(1019,plain,
    ! [SV38: $i,SV94: $i,SV150: $i,SV199: $i,SV261: $i,SV236: $i] :
      ( ( ( ~ ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) ) )
        = $false )
      | ( ( coll @ SV236 @ SV94 @ SV199 )
        = $false )
      | ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( coll @ SV236 @ SV38 @ SV150 )
        = $false )
      | ( ( coll @ SV261 @ SV38 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1013]) ).

thf(1020,plain,
    ! [SV38: $i,SV94: $i,SV150: $i,SV199: $i,SV236: $i,SV261: $i] :
      ( ( ( ~ ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 ) )
        = $false )
      | ( ( coll @ SV236 @ SV94 @ SV199 )
        = $false )
      | ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( coll @ SV236 @ SV38 @ SV150 )
        = $false )
      | ( ( coll @ SV261 @ SV38 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1013]) ).

thf(1021,plain,
    ! [SV52: $i,SV210: $i,SV108: $i,SV164: $i] :
      ( ( ( coll @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
        = $true )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1014]) ).

thf(1022,plain,
    ! [SV210: $i,SV108: $i,SV164: $i,SV52: $i] :
      ( ( ( perp @ SV52 @ ( sK14_SY999 @ SV164 @ SV108 @ SV210 @ SV52 ) @ SV164 @ SV108 )
        = $true )
      | ( ( perp @ SV52 @ SV210 @ SV108 @ SV164 )
        = $false )
      | ( ( perp @ SV108 @ SV210 @ SV52 @ SV164 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1015]) ).

thf(1023,plain,
    ! [SV270: $i,SV11: $i,SV67: $i,SV178: $i,SV250: $i,SV222: $i] :
      ( ( ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 ) )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV67 @ SV222 )
        = $false )
      | ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV250 @ SV270 )
        = $false )
      | ( ( coll @ SV178 @ SV222 @ SV250 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1017]) ).

thf(1024,plain,
    ! [SV270: $i,SV11: $i,SV67: $i,SV178: $i,SV250: $i,SV222: $i] :
      ( ( ( ~ ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 ) )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV67 @ SV222 )
        = $false )
      | ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV250 @ SV270 )
        = $false )
      | ( ( coll @ SV178 @ SV222 @ SV250 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1017]) ).

thf(1025,plain,
    ! [SV141: $i,SV85: $i,SV193: $i,SV29: $i,SV259: $i,SV234: $i] :
      ( ( ( SV234 != SV259 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1018]) ).

thf(1026,plain,
    ! [SV38: $i,SV94: $i,SV150: $i,SV199: $i,SV261: $i,SV236: $i] :
      ( ( ( coll @ SV236 @ SV261 @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) )
        = $true )
      | ( ( coll @ SV236 @ SV94 @ SV199 )
        = $false )
      | ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( coll @ SV236 @ SV38 @ SV150 )
        = $false )
      | ( ( coll @ SV261 @ SV38 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1019]) ).

thf(1027,plain,
    ! [SV38: $i,SV94: $i,SV150: $i,SV199: $i,SV236: $i,SV261: $i] :
      ( ( ( coll @ ( sK20_SY1072 @ SV261 @ SV236 @ SV199 @ SV150 @ SV94 @ SV38 ) @ SV150 @ SV199 )
        = $true )
      | ( ( coll @ SV236 @ SV94 @ SV199 )
        = $false )
      | ( ( para @ SV38 @ SV94 @ SV150 @ SV199 )
        = $false )
      | ( ( coll @ SV236 @ SV38 @ SV150 )
        = $false )
      | ( ( coll @ SV261 @ SV38 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1020]) ).

thf(1028,plain,
    ! [SV270: $i,SV11: $i,SV67: $i,SV178: $i,SV250: $i,SV222: $i] :
      ( ( ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV11 @ SV222 )
        = $true )
      | ( ( para @ SV11 @ SV178 @ SV67 @ SV222 )
        = $false )
      | ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV250 @ SV270 )
        = $false )
      | ( ( coll @ SV178 @ SV222 @ SV250 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1023]) ).

thf(1029,plain,
    ! [SV270: $i,SV11: $i,SV67: $i,SV178: $i,SV250: $i,SV222: $i] :
      ( ( ( coll @ ( sK21_SY1089 @ SV222 @ SV250 @ SV178 @ SV67 @ SV11 @ SV270 ) @ SV270 @ SV250 )
        = $true )
      | ( ( para @ SV11 @ SV178 @ SV67 @ SV222 )
        = $false )
      | ( ( midp @ SV270 @ SV11 @ SV67 )
        = $false )
      | ( ( para @ SV11 @ SV178 @ SV250 @ SV270 )
        = $false )
      | ( ( coll @ SV178 @ SV222 @ SV250 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1024]) ).

thf(1030,plain,
    ! [SV141: $i,SV85: $i,SV193: $i,SV29: $i,SV259: $i,SV234: $i] :
      ( ( ( SV234 = SV259 )
        = $true )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                    | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
              | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1025]) ).

thf(1031,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                      | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
          | ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1030]) ).

thf(1032,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                      | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
                | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1031]) ).

thf(1033,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1031]) ).

thf(1034,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                    | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
              | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) ) )
        = $true )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1032]) ).

thf(1035,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( cong @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 )
        = $true )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1033]) ).

thf(1036,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
          | ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1034]) ).

thf(1037,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
                | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1036]) ).

thf(1038,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1036]) ).

thf(1039,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
              | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) ) )
        = $true )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1037]) ).

thf(1040,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( coll @ ( sK24_SY1100 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV85 @ SV193 )
        = $true )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1038]) ).

thf(1041,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
          | ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1039]) ).

thf(1042,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1041]) ).

thf(1043,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( ~ ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 ) )
        = $false )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1041]) ).

thf(1044,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( coll @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV29 @ SV141 )
        = $true )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1042]) ).

thf(1045,plain,
    ! [SV234: $i,SV29: $i,SV85: $i,SV141: $i,SV193: $i,SV259: $i] :
      ( ( ( cong @ ( sK19_SY1068 @ SV259 @ SV193 @ SV141 @ SV85 @ SV29 @ SV234 ) @ SV259 @ SV259 @ SV29 )
        = $true )
      | ( ( cong @ SV259 @ SV29 @ SV259 @ SV85 )
        = $false )
      | ( ( circle @ SV234 @ SV29 @ SV85 @ SV141 )
        = $false )
      | ( ( cong @ SV234 @ SV29 @ SV234 @ SV193 )
        = $false )
      | ( ( SV234 = SV259 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1043]) ).

thf(1046,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[227,1045,1044,1040,1035,1029,1028,1027,1026,1022,1021,1016,1004,993,992,987,982,972,969,968,967,964,956,951,950,945,944,943,942,939,938,932,931,922,918,917,916,915,903,890,888,879,837,833,825,820,804,797,793,791,780,779,774,772,766,760,759,756,755,729,700,686,682,677,620,602,599,564,554,551,546,540,539,524,291,233,232,231,230,229,228]) ).

thf(1047,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1046]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO623+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
% 0.06/0.17  % Computer : n010.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Tue Oct  6 10:21:05 UTC 2026
% 0.06/0.17  % CPUTime  : 
% 0.06/0.17  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.18/3.48  
% 19.18/3.48   No.of.Axioms: 56
% 19.18/3.48  
% 19.18/3.48   Length.of.Defs: 0
% 19.18/3.48  
% 19.18/3.48   Contains.Choice.Funs: false
% 19.18/3.48  ............................................................
% 19.18/3.48  
% 19.18/3.48  ********************************
% 19.18/3.48  *   All subproblems solved!    *
% 19.18/3.48  ********************************
% 19.18/3.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:63,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:1046,loop_count:0,foatp_calls:1,translation:fof_full)
% 19.18/3.48  
% 19.18/3.48  %**** Beginning of derivation protocol ****
% 19.18/3.48  % SZS output start CNFRefutation
% See solution above
% 19.18/3.49  
% 19.18/3.49  %**** End of derivation protocol ****
% 19.18/3.49  %**** no. of clauses in derivation: 1009 ****
% 19.18/3.49  %**** clause counter: 1046 ****
% 19.18/3.49  
% 19.18/3.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:63,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:1046,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------