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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : GEO613+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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:19:22 AM UTC 2026

% Result   : Theorem 38.97s 8.17s
% Output   : CNFRefutation 38.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  886 ( 481 unt;   0 typ;   0 def)
%            Number of atoms       : 6418 (1591 equ;   0 cnn)
%            Maximal formula atoms :   11 (   7 avg)
%            Number of connectives : 22290 (3519   ~;1928   |; 351   &;16329   @)
%                                         (   0 <=>; 163  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   45 (  42 usr;  18 con; 0-8 aty)
%            Number of variables   : 4861 (   0   ^;4816   !;  45   ?;4861   :)

% 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_SY371,type,
    sK10_SY371: $i ).

thf(tp_sK11_SY378,type,
    sK11_SY378: $i ).

thf(tp_sK12_SY384,type,
    sK12_SY384: $i ).

thf(tp_sK13_SY389,type,
    sK13_SY389: $i ).

thf(tp_sK14_SY393,type,
    sK14_SY393: $i ).

thf(tp_sK15_SY396,type,
    sK15_SY396: $i ).

thf(tp_sK16_SY398,type,
    sK16_SY398: $i ).

thf(tp_sK17_SY908,type,
    sK17_SY908: $i > $i > $i > $i > $i ).

thf(tp_sK18_SY917,type,
    sK18_SY917: $i > $i > $i > $i > $i ).

thf(tp_sK19_SY918,type,
    sK19_SY918: $i > $i > $i > $i > $i ).

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

thf(tp_sK20_SY955,type,
    sK20_SY955: $i > $i > $i > $i > $i ).

thf(tp_sK21_SY964,type,
    sK21_SY964: $i > $i > $i > $i > $i ).

thf(tp_sK22_SY984,type,
    sK22_SY984: $i > $i > $i > $i > $i > $i ).

thf(tp_sK23_SY1007,type,
    sK23_SY1007: $i > $i > $i > $i > $i > $i ).

thf(tp_sK24_SY1022,type,
    sK24_SY1022: $i > $i > $i > $i > $i > $i ).

thf(tp_sK25_SY1026,type,
    sK25_SY1026: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK26_SY1046,type,
    sK26_SY1046: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK27_SY1050,type,
    sK27_SY1050: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK28_SY1053,type,
    sK28_SY1053: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK29_SY1056,type,
    sK29_SY1056: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK2_SY279,type,
    sK2_SY279: $i ).

thf(tp_sK30_SY1047,type,
    sK30_SY1047: $i > $i > $i > $i > $i ).

thf(tp_sK31_SY1066,type,
    sK31_SY1066: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK3_SY294,type,
    sK3_SY294: $i ).

thf(tp_sK4_SY308,type,
    sK4_SY308: $i ).

thf(tp_sK5_SY321,type,
    sK5_SY321: $i ).

thf(tp_sK6_SY333,type,
    sK6_SY333: $i ).

thf(tp_sK7_SY344,type,
    sK7_SY344: $i ).

thf(tp_sK8_SY354,type,
    sK8_SY354: $i ).

thf(tp_sK9_SY363,type,
    sK9_SY363: $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/sandbox/benchmark/theBenchmark.p',ruleX18) ).

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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleX12) ).

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

thf(9,axiom,
    ! [A: $i,B: $i,C: $i,H: $i] :
    ? [P: $i,Q: $i] :
      ( ( ( perp @ A @ H @ B @ C )
        & ( perp @ B @ H @ A @ C ) )
     => ( ( coll @ P @ C @ B )
        & ( perp @ A @ P @ C @ B )
        & ( coll @ Q @ C @ A )
        & ( perp @ B @ Q @ C @ A ) ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleX5) ).

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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleX1) ).

thf(20,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( perp @ P @ Q @ U @ V ) )
     => ( perp @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD70) ).

thf(25,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( coll @ A @ B @ C ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD63) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD58) ).

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

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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD50) ).

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

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

thf(47,axiom,
    ! [A: $i,B: $i,O: $i] :
      ( ( ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B )
        & ~ ( coll @ O @ A @ B ) )
     => ( cong @ O @ A @ O @ B ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD44) ).

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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD39) ).

thf(73,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
     => ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD18) ).

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/sandbox/benchmark/theBenchmark.p',ruleD12) ).

thf(84,axiom,
    ! [A: $i,B: $i,M: $i] :
      ( ( midp @ M @ B @ A )
     => ( midp @ M @ A @ B ) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD3) ).

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

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

thf(95,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i] :
      ( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
        & ( circle @ C @ B @ NWPNT3 @ NWPNT4 )
        & ( circle @ A @ B @ D @ NWPNT5 )
        & ( circle @ C @ B @ D @ NWPNT6 )
        & ( midp @ E @ D @ B )
        & ( circle @ A @ B @ F @ NWPNT7 )
        & ( circle @ C @ B @ G @ NWPNT8 )
        & ( coll @ G @ B @ F )
        & ( coll @ H @ A @ F )
        & ( coll @ H @ C @ G ) )
     => ( eqangle @ F @ D @ D @ G @ A @ H @ H @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618075y) ).

thf(96,negated_conjecture,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i] :
          ( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
            & ( circle @ C @ B @ NWPNT3 @ NWPNT4 )
            & ( circle @ A @ B @ D @ NWPNT5 )
            & ( circle @ C @ B @ D @ NWPNT6 )
            & ( midp @ E @ D @ B )
            & ( circle @ A @ B @ F @ NWPNT7 )
            & ( circle @ C @ B @ G @ NWPNT8 )
            & ( coll @ G @ B @ F )
            & ( coll @ H @ A @ F )
            & ( coll @ H @ C @ G ) )
         => ( eqangle @ F @ D @ D @ G @ A @ H @ H @ C ) ) )
    = $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,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i] :
          ( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
            & ( circle @ C @ B @ NWPNT3 @ NWPNT4 )
            & ( circle @ A @ B @ D @ NWPNT5 )
            & ( circle @ C @ B @ D @ NWPNT6 )
            & ( midp @ E @ D @ B )
            & ( circle @ A @ B @ F @ NWPNT7 )
            & ( circle @ C @ B @ G @ NWPNT8 )
            & ( coll @ G @ B @ F )
            & ( coll @ H @ A @ F )
            & ( coll @ H @ C @ G ) )
         => ( eqangle @ F @ D @ D @ G @ A @ H @ H @ C ) ) )
    = $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,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(100,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(101,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(102,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
        ? [P: $i] :
          ( ( circle @ O @ A @ B @ C )
         => ( perp @ P @ A @ A @ O ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

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

thf(104,plain,
    ( ( ! [A: $i,B: $i,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 )
            & ( 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(109,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(110,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(111,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( perp @ P @ Q @ U @ V ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(112,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(113,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(114,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(115,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(116,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(117,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(118,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(119,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(120,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(121,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(122,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( coll @ O @ A @ C ) )
         => ( perp @ A @ B @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(123,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(124,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(125,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
         => ( perp @ O @ A @ A @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(126,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( perp @ O @ A @ A @ X ) )
         => ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(127,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(128,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(129,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(130,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(131,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(132,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(133,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(134,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(135,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(136,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(137,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(138,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(139,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(140,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(141,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(142,plain,
    ( ( ! [A: $i,B: $i,M: $i] :
          ( ( midp @ M @ B @ A )
         => ( midp @ M @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(143,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(144,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(145,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(146,plain,
    ( ( ! [SY279: $i,SY280: $i,SY281: $i,SY282: $i,SY283: $i,SY284: $i,SY285: $i,SY286: $i,SY287: $i,SY288: $i,SY289: $i,SY290: $i,SY291: $i,SY292: $i,SY293: $i] :
          ( ( ( circle @ sK1_A @ SY279 @ SY286 @ SY287 )
            & ( circle @ SY280 @ SY279 @ SY288 @ SY289 )
            & ( circle @ sK1_A @ SY279 @ SY281 @ SY290 )
            & ( circle @ SY280 @ SY279 @ SY281 @ SY291 )
            & ( midp @ SY282 @ SY281 @ SY279 )
            & ( circle @ sK1_A @ SY279 @ SY283 @ SY292 )
            & ( circle @ SY280 @ SY279 @ SY284 @ SY293 )
            & ( coll @ SY284 @ SY279 @ SY283 )
            & ( coll @ SY285 @ sK1_A @ SY283 )
            & ( coll @ SY285 @ SY280 @ SY284 ) )
         => ( eqangle @ SY283 @ SY281 @ SY281 @ SY284 @ sK1_A @ SY285 @ SY285 @ SY280 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[97]) ).

thf(147,plain,
    ( ( ! [SY294: $i,SY295: $i,SY296: $i,SY297: $i,SY298: $i,SY299: $i,SY300: $i,SY301: $i,SY302: $i,SY303: $i,SY304: $i,SY305: $i,SY306: $i,SY307: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ SY300 @ SY301 )
            & ( circle @ SY294 @ sK2_SY279 @ SY302 @ SY303 )
            & ( circle @ sK1_A @ sK2_SY279 @ SY295 @ SY304 )
            & ( circle @ SY294 @ sK2_SY279 @ SY295 @ SY305 )
            & ( midp @ SY296 @ SY295 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ SY297 @ SY306 )
            & ( circle @ SY294 @ sK2_SY279 @ SY298 @ SY307 )
            & ( coll @ SY298 @ sK2_SY279 @ SY297 )
            & ( coll @ SY299 @ sK1_A @ SY297 )
            & ( coll @ SY299 @ SY294 @ SY298 ) )
         => ( eqangle @ SY297 @ SY295 @ SY295 @ SY298 @ sK1_A @ SY299 @ SY299 @ SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[146]) ).

thf(148,plain,
    ( ( ! [SY308: $i,SY309: $i,SY310: $i,SY311: $i,SY312: $i,SY313: $i,SY314: $i,SY315: $i,SY316: $i,SY317: $i,SY318: $i,SY319: $i,SY320: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ SY313 @ SY314 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY315 @ SY316 )
            & ( circle @ sK1_A @ sK2_SY279 @ SY308 @ SY317 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY308 @ SY318 )
            & ( midp @ SY309 @ SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ SY310 @ SY319 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY311 @ SY320 )
            & ( coll @ SY311 @ sK2_SY279 @ SY310 )
            & ( coll @ SY312 @ sK1_A @ SY310 )
            & ( coll @ SY312 @ sK3_SY294 @ SY311 ) )
         => ( eqangle @ SY310 @ SY308 @ SY308 @ SY311 @ sK1_A @ SY312 @ SY312 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[147]) ).

thf(149,plain,
    ( ( ! [SY321: $i,SY322: $i,SY323: $i,SY324: $i,SY325: $i,SY326: $i,SY327: $i,SY328: $i,SY329: $i,SY330: $i,SY331: $i,SY332: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ SY325 @ SY326 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY327 @ SY328 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY329 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY330 )
            & ( midp @ SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ SY322 @ SY331 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY323 @ SY332 )
            & ( coll @ SY323 @ sK2_SY279 @ SY322 )
            & ( coll @ SY324 @ sK1_A @ SY322 )
            & ( coll @ SY324 @ sK3_SY294 @ SY323 ) )
         => ( eqangle @ SY322 @ sK4_SY308 @ sK4_SY308 @ SY323 @ sK1_A @ SY324 @ SY324 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[148]) ).

thf(150,plain,
    ( ( ! [SY333: $i,SY334: $i,SY335: $i,SY336: $i,SY337: $i,SY338: $i,SY339: $i,SY340: $i,SY341: $i,SY342: $i,SY343: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ SY336 @ SY337 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY338 @ SY339 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY340 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY341 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ SY333 @ SY342 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY334 @ SY343 )
            & ( coll @ SY334 @ sK2_SY279 @ SY333 )
            & ( coll @ SY335 @ sK1_A @ SY333 )
            & ( coll @ SY335 @ sK3_SY294 @ SY334 ) )
         => ( eqangle @ SY333 @ sK4_SY308 @ sK4_SY308 @ SY334 @ sK1_A @ SY335 @ SY335 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[149]) ).

thf(151,plain,
    ( ( ! [SY344: $i,SY345: $i,SY346: $i,SY347: $i,SY348: $i,SY349: $i,SY350: $i,SY351: $i,SY352: $i,SY353: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ SY346 @ SY347 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY348 @ SY349 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY350 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY351 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY352 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY344 @ SY353 )
            & ( coll @ SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ SY345 @ sK1_A @ sK6_SY333 )
            & ( coll @ SY345 @ sK3_SY294 @ SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ SY344 @ sK1_A @ SY345 @ SY345 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[150]) ).

thf(152,plain,
    ( ( ! [SY354: $i,SY355: $i,SY356: $i,SY357: $i,SY358: $i,SY359: $i,SY360: $i,SY361: $i,SY362: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ SY355 @ SY356 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY357 @ SY358 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY359 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY360 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY361 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY362 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ SY354 @ SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[151]) ).

thf(153,plain,
    ( ( ! [SY363: $i,SY364: $i,SY365: $i,SY366: $i,SY367: $i,SY368: $i,SY369: $i,SY370: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ SY363 @ SY364 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY365 @ SY366 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY367 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY368 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY369 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY370 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[152]) ).

thf(154,plain,
    ( ( ! [SY371: $i,SY372: $i,SY373: $i,SY374: $i,SY375: $i,SY376: $i,SY377: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ SY371 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY372 @ SY373 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY374 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY375 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY376 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY377 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[153]) ).

thf(155,plain,
    ( ( ! [SY378: $i,SY379: $i,SY380: $i,SY381: $i,SY382: $i,SY383: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ SY378 @ SY379 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY380 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY381 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY382 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY383 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[154]) ).

thf(156,plain,
    ( ( ! [SY384: $i,SY385: $i,SY386: $i,SY387: $i,SY388: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK11_SY378 @ SY384 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY385 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY386 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY387 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY388 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[155]) ).

thf(157,plain,
    ( ( ! [SY389: $i,SY390: $i,SY391: $i,SY392: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK11_SY378 @ sK12_SY384 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ SY389 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY390 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY391 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY392 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[156]) ).

thf(158,plain,
    ( ( ! [SY393: $i,SY394: $i,SY395: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK11_SY378 @ sK12_SY384 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ sK13_SY389 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ SY393 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY394 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY395 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[157]) ).

thf(159,plain,
    ( ( ! [SY396: $i,SY397: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK11_SY378 @ sK12_SY384 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ sK13_SY389 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ sK14_SY393 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ SY396 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY397 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[158]) ).

thf(160,plain,
    ( ( ! [SY398: $i] :
          ( ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK11_SY378 @ sK12_SY384 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ sK13_SY389 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ sK14_SY393 )
            & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
            & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ sK15_SY396 )
            & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ SY398 )
            & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
            & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
         => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[159]) ).

thf(161,plain,
    ( ( ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
        & ( circle @ sK3_SY294 @ sK2_SY279 @ sK11_SY378 @ sK12_SY384 )
        & ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ sK13_SY389 )
        & ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ sK14_SY393 )
        & ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
        & ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ sK15_SY396 )
        & ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ sK16_SY398 )
        & ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
        & ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
        & ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 ) )
     => ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[160]) ).

thf(162,plain,
    ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(163,plain,
    ( ( circle @ sK3_SY294 @ sK2_SY279 @ sK11_SY378 @ sK12_SY384 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(164,plain,
    ( ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ sK13_SY389 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(165,plain,
    ( ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ sK14_SY393 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(166,plain,
    ( ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(167,plain,
    ( ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ sK15_SY396 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(168,plain,
    ( ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ sK16_SY398 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(169,plain,
    ( ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(170,plain,
    ( ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(171,plain,
    ( ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 )
    = $true ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(172,plain,
    ( ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 )
    = $false ),
    inference(standard_cnf,[status(thm)],[161]) ).

thf(173,plain,
    ( ( ~ ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[172]) ).

thf(174,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[145]) ).

thf(175,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[144]) ).

thf(176,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)],[143]) ).

thf(177,plain,
    ( ( ! [A: $i,B: $i,M: $i] :
          ( ( midp @ M @ B @ A )
         => ( midp @ M @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[142]) ).

thf(178,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)],[141]) ).

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 @ B @ A @ C @ D @ P @ Q @ U @ V ) ) )
    = $true ),
    inference(copy,[status(thm)],[140]) ).

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 @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[139]) ).

thf(181,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)],[138]) ).

thf(182,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)],[137]) ).

thf(183,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)],[136]) ).

thf(184,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)],[135]) ).

thf(185,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)],[134]) ).

thf(186,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)],[133]) ).

thf(187,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)],[132]) ).

thf(188,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)],[131]) ).

thf(189,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)],[130]) ).

thf(190,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)],[129]) ).

thf(191,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)],[128]) ).

thf(192,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)],[127]) ).

thf(193,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( perp @ O @ A @ A @ X ) )
         => ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[126]) ).

thf(194,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
         => ( perp @ O @ A @ A @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

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)],[124]) ).

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)],[123]) ).

thf(197,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( coll @ O @ A @ C ) )
         => ( perp @ A @ B @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(198,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)],[121]) ).

thf(199,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)],[120]) ).

thf(200,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)],[119]) ).

thf(201,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)],[118]) ).

thf(202,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(203,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)],[116]) ).

thf(204,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(205,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(206,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)],[113]) ).

thf(207,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)],[112]) ).

thf(208,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)],[111]) ).

thf(209,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)],[110]) ).

thf(210,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)],[109]) ).

thf(211,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)],[108]) ).

thf(212,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(213,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(214,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(215,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(216,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(217,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
        ? [P: $i] :
          ( ( circle @ O @ A @ B @ C )
         => ( perp @ P @ A @ A @ O ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(218,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)],[101]) ).

thf(219,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)],[100]) ).

thf(220,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)],[99]) ).

thf(221,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(222,plain,
    ( ( coll @ sK8_SY354 @ sK3_SY294 @ sK7_SY344 )
    = $true ),
    inference(copy,[status(thm)],[171]) ).

thf(223,plain,
    ( ( coll @ sK8_SY354 @ sK1_A @ sK6_SY333 )
    = $true ),
    inference(copy,[status(thm)],[170]) ).

thf(224,plain,
    ( ( coll @ sK7_SY344 @ sK2_SY279 @ sK6_SY333 )
    = $true ),
    inference(copy,[status(thm)],[169]) ).

thf(225,plain,
    ( ( circle @ sK3_SY294 @ sK2_SY279 @ sK7_SY344 @ sK16_SY398 )
    = $true ),
    inference(copy,[status(thm)],[168]) ).

thf(226,plain,
    ( ( circle @ sK1_A @ sK2_SY279 @ sK6_SY333 @ sK15_SY396 )
    = $true ),
    inference(copy,[status(thm)],[167]) ).

thf(227,plain,
    ( ( midp @ sK5_SY321 @ sK4_SY308 @ sK2_SY279 )
    = $true ),
    inference(copy,[status(thm)],[166]) ).

thf(228,plain,
    ( ( circle @ sK3_SY294 @ sK2_SY279 @ sK4_SY308 @ sK14_SY393 )
    = $true ),
    inference(copy,[status(thm)],[165]) ).

thf(229,plain,
    ( ( circle @ sK1_A @ sK2_SY279 @ sK4_SY308 @ sK13_SY389 )
    = $true ),
    inference(copy,[status(thm)],[164]) ).

thf(230,plain,
    ( ( circle @ sK3_SY294 @ sK2_SY279 @ sK11_SY378 @ sK12_SY384 )
    = $true ),
    inference(copy,[status(thm)],[163]) ).

thf(231,plain,
    ( ( circle @ sK1_A @ sK2_SY279 @ sK9_SY363 @ sK10_SY371 )
    = $true ),
    inference(copy,[status(thm)],[162]) ).

thf(232,plain,
    ( ( ~ ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 ) )
    = $true ),
    inference(copy,[status(thm)],[173]) ).

thf(233,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX2 @ SX1 @ SX0 )
          | ( midp @ SX2 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(234,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)],[198]) ).

thf(235,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)],[218]) ).

thf(236,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)],[191]) ).

thf(237,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)],[178]) ).

thf(238,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(239,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ~ ( perp @ SX3 @ SX0 @ SX0 @ SX4 ) )
          | ( eqangle @ SX0 @ SX4 @ SX0 @ SX1 @ SX2 @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(240,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)],[210]) ).

thf(241,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ! [SX5: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SX0 @ SX1 @ SX0 @ SX2 )
                            | ~ ( perp @ SX2 @ SX0 @ SX2 @ SX3 ) )
                      | ~ ( midp @ SX4 @ SX1 @ SX3 ) )
                | ( midp @ SX5 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(242,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( para @ SX0 @ SX1 @ SX0 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(243,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)],[214]) ).

thf(244,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ~ ( coll @ SX3 @ SX0 @ SX2 ) )
          | ( perp @ SX0 @ SX1 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(245,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)],[190]) ).

thf(246,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)],[203]) ).

thf(247,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)],[201]) ).

thf(248,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)],[209]) ).

thf(249,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ( perp @ SX4 @ SX0 @ SX0 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(250,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)],[206]) ).

thf(251,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)],[185]) ).

thf(252,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)],[200]) ).

thf(253,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
          | ( eqangle @ SX1 @ SX0 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(254,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(255,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)],[207]) ).

thf(256,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(257,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)],[184]) ).

thf(258,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)],[215]) ).

thf(259,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)],[183]) ).

thf(260,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)],[212]) ).

thf(261,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
                | ~ ( eqangle @ SX0 @ SX4 @ SX0 @ SX1 @ SX2 @ SX0 @ SX2 @ SX1 ) )
          | ( perp @ SX3 @ SX0 @ SX0 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(262,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)],[187]) ).

thf(263,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)],[208]) ).

thf(264,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)],[199]) ).

thf(265,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)],[211]) ).

thf(266,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)],[192]) ).

thf(267,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)],[186]) ).

thf(268,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)],[176]) ).

thf(269,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)],[181]) ).

thf(270,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)],[213]) ).

thf(271,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(272,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( cong @ SX0 @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(273,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(274,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)],[216]) ).

thf(275,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)],[180]) ).

thf(276,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)],[221]) ).

thf(277,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)],[189]) ).

thf(278,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)],[219]) ).

thf(279,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)],[188]) ).

thf(280,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)],[182]) ).

thf(281,plain,
    ( ( eqangle @ sK6_SY333 @ sK4_SY308 @ sK4_SY308 @ sK7_SY344 @ sK1_A @ sK8_SY354 @ sK8_SY354 @ sK3_SY294 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[232]) ).

thf(282,plain,
    ! [SV1: $i] :
      ( ( ! [SY399: $i,SY400: $i] :
            ( ~ ( midp @ SY400 @ SY399 @ SV1 )
            | ( midp @ SY400 @ SV1 @ SY399 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[233]) ).

thf(283,plain,
    ! [SV2: $i] :
      ( ( ! [SY401: $i,SY402: $i,SY403: $i,SY404: $i,SY405: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV2 @ SY401 @ SY401 @ SY402 @ SY403 @ SY404 @ SY404 @ SY405 )
                        | ~ ( eqangle @ SV2 @ SY402 @ SY401 @ SY402 @ SY403 @ SY405 @ SY404 @ SY405 ) )
                  | ~ ~ ( coll @ SV2 @ SY401 @ SY402 ) )
            | ( simtri @ SV2 @ SY401 @ SY402 @ SY403 @ SY404 @ SY405 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(284,plain,
    ! [SV3: $i] :
      ( ( ! [SY406: $i,SY407: $i,SY408: $i,SY409: $i,SY410: $i] :
            ~ ! [SY411: $i] :
                ~ ~ ! [SY412: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY409 @ SV3 @ SY406 @ SY407 )
                                          | ~ ( cong @ SY409 @ SV3 @ SY409 @ SY408 ) )
                                    | ~ ( cong @ SY410 @ SV3 @ SY410 @ SY406 ) )
                              | ~ ( ( SY409 != SY410 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY411 @ SV3 @ SY407 )
                                        | ~ ( cong @ SY411 @ SY410 @ SY410 @ SV3 ) )
                                  | ~ ( coll @ SY412 @ SY406 @ SY408 ) )
                            | ~ ( cong @ SY412 @ SY410 @ SY410 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(285,plain,
    ! [SV4: $i] :
      ( ( ! [SY413: $i,SY414: $i] :
            ( ~ ( cong @ SY414 @ SV4 @ SY414 @ SY413 )
            | ( eqangle @ SY414 @ SV4 @ SV4 @ SY413 @ SV4 @ SY413 @ SY414 @ SY413 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(286,plain,
    ! [SV5: $i] :
      ( ( ! [SY415: $i,SY416: $i,SY417: $i] :
            ( ~ ~ ( ~ ( cong @ SY417 @ SV5 @ SY417 @ SY415 )
                  | ~ ( cong @ SY417 @ SV5 @ SY417 @ SY416 ) )
            | ( circle @ SY417 @ SV5 @ SY415 @ SY416 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(287,plain,
    ! [SV6: $i] :
      ( ( ! [SY418: $i,SY419: $i,SY420: $i,SY421: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY420 @ SV6 @ SY418 @ SY419 )
                        | ~ ( coll @ SY421 @ SY418 @ SY419 ) )
                  | ~ ( eqangle @ SV6 @ SY418 @ SV6 @ SY419 @ SY420 @ SY418 @ SY420 @ SY421 ) )
            | ( midp @ SY421 @ SY418 @ SY419 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(288,plain,
    ! [SV7: $i] :
      ( ( ! [SY422: $i,SY423: $i,SY424: $i,SY425: $i] :
            ( ~ ~ ( ~ ( circle @ SY424 @ SV7 @ SY422 @ SY423 )
                  | ~ ( perp @ SY424 @ SV7 @ SV7 @ SY425 ) )
            | ( eqangle @ SV7 @ SY425 @ SV7 @ SY422 @ SY423 @ SV7 @ SY423 @ SY422 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(289,plain,
    ! [SV8: $i] :
      ( ( ! [SY426: $i,SY427: $i,SY428: $i] :
            ~ ! [SY429: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY427 @ SV8 @ SY427 @ SY426 )
                        | ~ ( eqangle @ SV8 @ SY427 @ SY427 @ SY428 @ SY427 @ SY428 @ SY427 @ SY426 ) )
                  | ~ ( ~ ( coll @ SY426 @ SV8 @ SY429 )
                      | ~ ( coll @ SY429 @ SY427 @ SY428 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(290,plain,
    ! [SV9: $i] :
      ( ( ! [SY430: $i,SY431: $i,SY432: $i,SY433: $i] :
            ~ ! [SY434: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SY430 @ SV9 @ SY431 )
                              | ~ ( perp @ SY431 @ SV9 @ SY431 @ SY432 ) )
                        | ~ ( midp @ SY433 @ SY430 @ SY432 ) )
                  | ( midp @ SY434 @ SV9 @ SY431 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(291,plain,
    ! [SV10: $i] :
      ( ( ! [SY435: $i,SY436: $i] :
            ( ~ ( para @ SV10 @ SY435 @ SV10 @ SY436 )
            | ( coll @ SV10 @ SY435 @ SY436 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(292,plain,
    ! [SV11: $i] :
      ( ( ! [SY437: $i,SY438: $i,SY439: $i,SY440: $i,SY441: $i,SY442: $i] :
            ~ ! [SY443: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY440 @ SV11 @ SY437 )
                                    | ~ ( midp @ SY441 @ SY438 @ SY439 ) )
                              | ~ ( coll @ SY438 @ SV11 @ SY437 ) )
                        | ~ ( coll @ SY439 @ SV11 @ SY437 ) )
                  | ( midp @ SY443 @ SV11 @ SY442 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(293,plain,
    ! [SV12: $i] :
      ( ( ! [SY444: $i,SY445: $i,SY446: $i] :
            ( ~ ~ ( ~ ( circle @ SY446 @ SV12 @ SY444 @ SY445 )
                  | ~ ( coll @ SY446 @ SV12 @ SY445 ) )
            | ( perp @ SV12 @ SY444 @ SY444 @ SY445 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(294,plain,
    ! [SV13: $i] :
      ( ( ! [SY447: $i,SY448: $i,SY449: $i,SY450: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY449 @ SV13 @ SY447 )
                        | ~ ( para @ SY449 @ SY450 @ SY447 @ SY448 ) )
                  | ~ ( coll @ SY450 @ SV13 @ SY448 ) )
            | ( midp @ SY450 @ SV13 @ SY448 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(295,plain,
    ! [SV14: $i] :
      ( ( ! [SY451: $i,SY452: $i] :
            ( ~ ~ ( ~ ( cong @ SV14 @ SY451 @ SV14 @ SY452 )
                  | ~ ( coll @ SV14 @ SY451 @ SY452 ) )
            | ( midp @ SV14 @ SY451 @ SY452 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(296,plain,
    ! [SV15: $i] :
      ( ( ! [SY453: $i,SY454: $i,SY455: $i,SY456: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY456 @ SV15 @ SY453 )
                        | ~ ( para @ SV15 @ SY454 @ SY453 @ SY455 ) )
                  | ~ ( para @ SV15 @ SY455 @ SY453 @ SY454 ) )
            | ( midp @ SY456 @ SY454 @ SY455 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(297,plain,
    ! [SV16: $i] :
      ( ( ! [SY457: $i,SY458: $i,SY459: $i] :
            ~ ! [SY460: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY458 @ SY457 @ SY457 @ SV16 )
                        | ~ ( eqangle @ SY459 @ SY458 @ SY457 @ SY458 @ SY457 @ SY458 @ SV16 @ SY458 ) )
                  | ~ ( ~ ( coll @ SY460 @ SV16 @ SY457 )
                      | ~ ( coll @ SY460 @ SY458 @ SY459 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(298,plain,
    ! [SV17: $i] :
      ( ( ! [SY461: $i,SY462: $i,SY463: $i] :
            ~ ! [SY464: $i] :
                ~ ( ~ ( circle @ SY463 @ SV17 @ SY461 @ SY462 )
                  | ( perp @ SY464 @ SV17 @ SV17 @ SY463 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(299,plain,
    ! [SV18: $i] :
      ( ( ! [SY465: $i,SY466: $i,SY467: $i,SY468: $i,SY469: $i] :
            ( ~ ~ ( ~ ( midp @ SY468 @ SV18 @ SY465 )
                  | ~ ( midp @ SY469 @ SY466 @ SY467 ) )
            | ( eqratio @ SY468 @ SV18 @ SV18 @ SY465 @ SY469 @ SY466 @ SY466 @ SY467 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(300,plain,
    ! [SV19: $i] :
      ( ( ! [SY470: $i,SY471: $i,SY472: $i,SY473: $i,SY474: $i] :
            ( ~ ( para @ SV19 @ SY470 @ SY471 @ SY472 )
            | ( eqangle @ SV19 @ SY470 @ SY473 @ SY474 @ SY471 @ SY472 @ SY473 @ SY474 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(301,plain,
    ! [SV20: $i] :
      ( ( ! [SY475: $i,SY476: $i,SY477: $i,SY478: $i] :
            ( ~ ~ ( ~ ( midp @ SY478 @ SV20 @ SY475 )
                  | ~ ( midp @ SY478 @ SY476 @ SY477 ) )
            | ( para @ SV20 @ SY476 @ SY475 @ SY477 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(302,plain,
    ! [SV21: $i] :
      ( ( ! [SY479: $i,SY480: $i,SY481: $i,SY482: $i,SY483: $i,SY484: $i,SY485: $i] :
            ( ~ ( eqangle @ SV21 @ SY479 @ SY480 @ SY481 @ SY482 @ SY483 @ SY484 @ SY485 )
            | ( eqangle @ SY479 @ SV21 @ SY480 @ SY481 @ SY482 @ SY483 @ SY484 @ SY485 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(303,plain,
    ! [SV22: $i] :
      ( ( ! [SY486: $i,SY487: $i] :
            ( ~ ( coll @ SV22 @ SY486 @ SY487 )
            | ( coll @ SV22 @ SY487 @ SY486 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(304,plain,
    ! [SV23: $i] :
      ( ( ! [SY488: $i,SY489: $i,SY490: $i,SY491: $i,SY492: $i,SY493: $i,SY494: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV23 @ SY488 @ SY489 @ SY490 @ SY491 @ SY492 @ SY493 @ SY494 )
                  | ~ ( para @ SY491 @ SY492 @ SY493 @ SY494 ) )
            | ( para @ SV23 @ SY488 @ SY489 @ SY490 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(305,plain,
    ! [SV24: $i] :
      ( ( ! [SY495: $i,SY496: $i] :
            ( ~ ( coll @ SV24 @ SY495 @ SY496 )
            | ( coll @ SY495 @ SV24 @ SY496 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(306,plain,
    ! [SV25: $i] :
      ( ( ! [SY497: $i,SY498: $i,SY499: $i,SY500: $i,SY501: $i] :
            ( ~ ( eqangle @ SV25 @ SY497 @ SY500 @ SY501 @ SY498 @ SY499 @ SY500 @ SY501 )
            | ( para @ SV25 @ SY497 @ SY498 @ SY499 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(307,plain,
    ! [SV26: $i] :
      ( ( ! [SY502: $i,SY503: $i,SY504: $i,SY505: $i,SY506: $i,SY507: $i] :
            ~ ! [SY508: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY507 @ SV26 @ SY502 )
                                    | ~ ( para @ SV26 @ SY504 @ SY506 @ SY507 ) )
                              | ~ ( para @ SV26 @ SY504 @ SY502 @ SY505 ) )
                        | ~ ( coll @ SY504 @ SY505 @ SY506 ) )
                  | ~ ( ~ ( coll @ SY508 @ SV26 @ SY505 )
                      | ~ ( coll @ SY508 @ SY507 @ SY506 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(308,plain,
    ! [SV27: $i] :
      ( ( ! [SY509: $i,SY510: $i,SY511: $i,SY512: $i,SY513: $i,SY514: $i,SY515: $i,SY516: $i,SY517: $i,SY518: $i,SY519: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SY509 @ SY510 @ SY511 @ SY512 @ SY513 @ SY514 @ SY515 )
                  | ~ ( eqangle @ SY512 @ SY513 @ SY514 @ SY515 @ SY516 @ SY517 @ SY518 @ SY519 ) )
            | ( eqangle @ SV27 @ SY509 @ SY510 @ SY511 @ SY516 @ SY517 @ SY518 @ SY519 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(309,plain,
    ! [SV28: $i] :
      ( ( ! [SY520: $i,SY521: $i,SY522: $i,SY523: $i] :
            ~ ! [SY524: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV28 @ SY521 @ SY520 @ SY521 @ SV28 @ SY522 @ SY520 @ SY523 )
                        | ~ ~ ( coll @ SV28 @ SY520 @ SY521 ) )
                  | ~ ( ~ ( eqangle @ SV28 @ SY521 @ SY520 @ SY521 @ SV28 @ SY524 @ SY520 @ SY524 )
                      | ~ ( cyclic @ SY522 @ SY520 @ SY521 @ SY524 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(310,plain,
    ! [SV29: $i] :
      ( ( ! [SY525: $i,SY526: $i,SY527: $i,SY528: $i] :
            ( ~ ~ ( ~ ( circle @ SY527 @ SV29 @ SY525 @ SY526 )
                  | ~ ( eqangle @ SV29 @ SY528 @ SV29 @ SY525 @ SY526 @ SV29 @ SY526 @ SY525 ) )
            | ( perp @ SY527 @ SV29 @ SV29 @ SY528 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(311,plain,
    ! [SV30: $i] :
      ( ( ! [SY529: $i,SY530: $i,SY531: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY530 @ SV30 @ SY530 @ SY529 @ SY531 @ SV30 @ SY531 @ SY529 )
                  | ~ ~ ( coll @ SY530 @ SY531 @ SV30 ) )
            | ( cyclic @ SV30 @ SY529 @ SY530 @ SY531 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(312,plain,
    ! [SV31: $i] :
      ( ( ! [SY532: $i,SY533: $i,SY534: $i,SY535: $i,SY536: $i,SY537: $i,SY538: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV31 @ SY532 @ SY533 @ SY534 @ SY535 @ SY536 @ SY537 @ SY538 )
                  | ~ ( perp @ SY535 @ SY536 @ SY537 @ SY538 ) )
            | ( perp @ SV31 @ SY532 @ SY533 @ SY534 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(313,plain,
    ! [SV32: $i] :
      ( ( ! [SY539: $i,SY540: $i,SY541: $i,SY542: $i,SY543: $i] :
            ( ~ ( simtri @ SV32 @ SY539 @ SY540 @ SY541 @ SY542 @ SY543 )
            | ( eqangle @ SV32 @ SY539 @ SY539 @ SY540 @ SY541 @ SY542 @ SY542 @ SY543 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(314,plain,
    ! [SV33: $i] :
      ( ( ! [SY544: $i,SY545: $i,SY546: $i] :
            ~ ! [SY547: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY545 @ SY546 @ SV33 @ SY544 )
                        | ~ ( eqangle @ SV33 @ SY545 @ SY545 @ SY546 @ SY545 @ SY546 @ SY545 @ SY544 ) )
                  | ~ ( ~ ( coll @ SY544 @ SV33 @ SY547 )
                      | ~ ( coll @ SY547 @ SY545 @ SY546 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(315,plain,
    ! [SV34: $i] :
      ( ( ! [SY548: $i,SY549: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY549 @ SV34 @ SV34 @ SY548 @ SV34 @ SY548 @ SY549 @ SY548 )
                  | ~ ~ ( coll @ SY549 @ SV34 @ SY548 ) )
            | ( cong @ SY549 @ SV34 @ SY549 @ SY548 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(316,plain,
    ! [SV35: $i] :
      ( ( ! [SY550: $i,SY551: $i,SY552: $i] :
            ( ~ ( cyclic @ SV35 @ SY550 @ SY551 @ SY552 )
            | ( eqangle @ SY551 @ SV35 @ SY551 @ SY550 @ SY552 @ SV35 @ SY552 @ SY550 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(317,plain,
    ! [SV36: $i] :
      ( ( ! [SY553: $i,SY554: $i,SY555: $i] :
            ( ~ ~ ( ~ ( coll @ SV36 @ SY553 @ SY554 )
                  | ~ ( coll @ SV36 @ SY553 @ SY555 ) )
            | ( coll @ SY554 @ SY555 @ SV36 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(318,plain,
    ! [SV37: $i] :
      ( ( ! [SY556: $i,SY557: $i,SY558: $i,SY559: $i,SY560: $i,SY561: $i,SY562: $i] :
            ( ~ ( eqangle @ SV37 @ SY556 @ SY557 @ SY558 @ SY559 @ SY560 @ SY561 @ SY562 )
            | ( eqangle @ SY559 @ SY560 @ SY561 @ SY562 @ SV37 @ SY556 @ SY557 @ SY558 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(319,plain,
    ! [SV38: $i] :
      ( ( ! [SY563: $i,SY564: $i,SY565: $i,SY566: $i,SY567: $i] :
            ~ ! [SY568: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY566 @ SV38 @ SY563 )
                        | ~ ( midp @ SY567 @ SY564 @ SY565 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY568 @ SV38 @ SY565 )
                            | ~ ( para @ SY568 @ SY566 @ SY563 @ SY565 ) )
                      | ~ ( para @ SY568 @ SY567 @ SV38 @ SY564 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(320,plain,
    ! [SV39: $i] :
      ( ( ! [SY569: $i,SY570: $i,SY571: $i,SY572: $i] :
            ( ~ ~ ( ~ ( circle @ SY571 @ SV39 @ SY569 @ SY570 )
                  | ~ ( midp @ SY572 @ SY569 @ SY570 ) )
            | ( eqangle @ SV39 @ SY569 @ SV39 @ SY570 @ SY571 @ SY569 @ SY571 @ SY572 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(321,plain,
    ! [SV40: $i] :
      ( ( ! [SY573: $i,SY574: $i] :
            ( ~ ( midp @ SV40 @ SY573 @ SY574 )
            | ( cong @ SV40 @ SY573 @ SV40 @ SY574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(322,plain,
    ! [SV41: $i] :
      ( ( ! [SY575: $i,SY576: $i] :
            ( ~ ( midp @ SV41 @ SY575 @ SY576 )
            | ( coll @ SV41 @ SY575 @ SY576 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(323,plain,
    ! [SV42: $i] :
      ( ( ! [SY577: $i,SY578: $i,SY579: $i] :
            ~ ! [SY580: $i] :
                ~ ~ ! [SY581: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV42 @ SY579 @ SY577 @ SY578 )
                              | ~ ( perp @ SY577 @ SY579 @ SV42 @ SY578 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY580 @ SY578 @ SY577 )
                                        | ~ ( perp @ SV42 @ SY580 @ SY578 @ SY577 ) )
                                  | ~ ( coll @ SY581 @ SY578 @ SV42 ) )
                            | ~ ( perp @ SY577 @ SY581 @ SY578 @ SV42 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(324,plain,
    ! [SV43: $i] :
      ( ( ! [SY582: $i,SY583: $i,SY584: $i,SY585: $i,SY586: $i,SY587: $i,SY588: $i] :
            ( ~ ( eqangle @ SV43 @ SY582 @ SY583 @ SY584 @ SY585 @ SY586 @ SY587 @ SY588 )
            | ( eqangle @ SY583 @ SY584 @ SV43 @ SY582 @ SY587 @ SY588 @ SY585 @ SY586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(325,plain,
    ! [SV44: $i] :
      ( ( ! [SY589: $i,SY590: $i,SY591: $i,SY592: $i,SY593: $i] :
            ~ ! [SY594: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SY589 @ SY590 @ SY591 )
                                    | ~ ( coll @ SY592 @ SV44 @ SY590 ) )
                              | ~ ( coll @ SY592 @ SY589 @ SY591 ) )
                        | ~ ( coll @ SY593 @ SV44 @ SY589 ) )
                  | ~ ( ~ ( coll @ SY592 @ SY593 @ SY594 )
                      | ~ ( coll @ SY594 @ SY590 @ SY591 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(326,plain,
    ! [SV45: $i] :
      ( ( ! [SY595: $i,SY596: $i,SY597: $i,SY598: $i] :
            ( ~ ~ ( ~ ( midp @ SY597 @ SV45 @ SY595 )
                  | ~ ( midp @ SY598 @ SV45 @ SY596 ) )
            | ( para @ SY597 @ SY598 @ SY595 @ SY596 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(327,plain,
    ! [SV46: $i] :
      ( ( ! [SY599: $i,SY600: $i,SY601: $i,SY602: $i] :
            ~ ! [SY603: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV46 @ SY600 @ SY600 @ SY599 )
                        | ~ ( coll @ SY599 @ SY601 @ SY602 ) )
                  | ~ ( ~ ( coll @ SY603 @ SY601 @ SY602 )
                      | ~ ( perp @ SY603 @ SV46 @ SY601 @ SY602 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(328,plain,
    ! [SV47: $i] :
      ( ( ! [SY604: $i,SY605: $i,SY606: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY605 @ SV47 @ SY605 @ SY604 @ SY606 @ SV47 @ SY606 @ SY604 )
                  | ~ ( coll @ SY605 @ SY606 @ SY604 ) )
            | ( cyclic @ SV47 @ SY604 @ SY605 @ SY606 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(329,plain,
    ! [SV48: $i] :
      ( ( ! [SY607: $i,SY608: $i,SY609: $i,SY610: $i,SY611: $i,SY612: $i,SY613: $i] :
            ( ~ ( eqangle @ SV48 @ SY607 @ SY608 @ SY609 @ SY610 @ SY611 @ SY612 @ SY613 )
            | ( eqangle @ SV48 @ SY607 @ SY610 @ SY611 @ SY608 @ SY609 @ SY612 @ SY613 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(330,plain,
    ! [SV1: $i,SV49: $i] :
      ( ( ! [SY614: $i] :
            ( ~ ( midp @ SY614 @ SV49 @ SV1 )
            | ( midp @ SY614 @ SV1 @ SV49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(331,plain,
    ! [SV50: $i,SV2: $i] :
      ( ( ! [SY615: $i,SY616: $i,SY617: $i,SY618: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SY615 @ SY616 @ SY617 @ SY617 @ SY618 )
                        | ~ ( eqangle @ SV2 @ SY615 @ SV50 @ SY615 @ SY616 @ SY618 @ SY617 @ SY618 ) )
                  | ~ ~ ( coll @ SV2 @ SV50 @ SY615 ) )
            | ( simtri @ SV2 @ SV50 @ SY615 @ SY616 @ SY617 @ SY618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(332,plain,
    ! [SV51: $i,SV3: $i] :
      ( ( ! [SY619: $i,SY620: $i,SY621: $i,SY622: $i] :
            ~ ! [SY623: $i] :
                ~ ~ ! [SY624: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY621 @ SV3 @ SV51 @ SY619 )
                                          | ~ ( cong @ SY621 @ SV3 @ SY621 @ SY620 ) )
                                    | ~ ( cong @ SY622 @ SV3 @ SY622 @ SV51 ) )
                              | ~ ( ( SY621 != SY622 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY623 @ SV3 @ SY619 )
                                        | ~ ( cong @ SY623 @ SY622 @ SY622 @ SV3 ) )
                                  | ~ ( coll @ SY624 @ SV51 @ SY620 ) )
                            | ~ ( cong @ SY624 @ SY622 @ SY622 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(333,plain,
    ! [SV52: $i,SV4: $i] :
      ( ( ! [SY625: $i] :
            ( ~ ( cong @ SY625 @ SV4 @ SY625 @ SV52 )
            | ( eqangle @ SY625 @ SV4 @ SV4 @ SV52 @ SV4 @ SV52 @ SY625 @ SV52 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(334,plain,
    ! [SV53: $i,SV5: $i] :
      ( ( ! [SY626: $i,SY627: $i] :
            ( ~ ~ ( ~ ( cong @ SY627 @ SV5 @ SY627 @ SV53 )
                  | ~ ( cong @ SY627 @ SV5 @ SY627 @ SY626 ) )
            | ( circle @ SY627 @ SV5 @ SV53 @ SY626 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(335,plain,
    ! [SV54: $i,SV6: $i] :
      ( ( ! [SY628: $i,SY629: $i,SY630: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY629 @ SV6 @ SV54 @ SY628 )
                        | ~ ( coll @ SY630 @ SV54 @ SY628 ) )
                  | ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SY628 @ SY629 @ SV54 @ SY629 @ SY630 ) )
            | ( midp @ SY630 @ SV54 @ SY628 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(336,plain,
    ! [SV55: $i,SV7: $i] :
      ( ( ! [SY631: $i,SY632: $i,SY633: $i] :
            ( ~ ~ ( ~ ( circle @ SY632 @ SV7 @ SV55 @ SY631 )
                  | ~ ( perp @ SY632 @ SV7 @ SV7 @ SY633 ) )
            | ( eqangle @ SV7 @ SY633 @ SV7 @ SV55 @ SY631 @ SV7 @ SY631 @ SV55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(337,plain,
    ! [SV56: $i,SV8: $i] :
      ( ( ! [SY634: $i,SY635: $i] :
            ~ ! [SY636: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY634 @ SV8 @ SY634 @ SV56 )
                        | ~ ( eqangle @ SV8 @ SY634 @ SY634 @ SY635 @ SY634 @ SY635 @ SY634 @ SV56 ) )
                  | ~ ( ~ ( coll @ SV56 @ SV8 @ SY636 )
                      | ~ ( coll @ SY636 @ SY634 @ SY635 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(338,plain,
    ! [SV57: $i,SV9: $i] :
      ( ( ! [SY637: $i,SY638: $i,SY639: $i] :
            ~ ! [SY640: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SY637 )
                              | ~ ( perp @ SY637 @ SV9 @ SY637 @ SY638 ) )
                        | ~ ( midp @ SY639 @ SV57 @ SY638 ) )
                  | ( midp @ SY640 @ SV9 @ SY637 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(339,plain,
    ! [SV58: $i,SV10: $i] :
      ( ( ! [SY641: $i] :
            ( ~ ( para @ SV10 @ SV58 @ SV10 @ SY641 )
            | ( coll @ SV10 @ SV58 @ SY641 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[291]) ).

thf(340,plain,
    ! [SV59: $i,SV11: $i] :
      ( ( ! [SY642: $i,SY643: $i,SY644: $i,SY645: $i,SY646: $i] :
            ~ ! [SY647: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY644 @ SV11 @ SV59 )
                                    | ~ ( midp @ SY645 @ SY642 @ SY643 ) )
                              | ~ ( coll @ SY642 @ SV11 @ SV59 ) )
                        | ~ ( coll @ SY643 @ SV11 @ SV59 ) )
                  | ( midp @ SY647 @ SV11 @ SY646 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(341,plain,
    ! [SV60: $i,SV12: $i] :
      ( ( ! [SY648: $i,SY649: $i] :
            ( ~ ~ ( ~ ( circle @ SY649 @ SV12 @ SV60 @ SY648 )
                  | ~ ( coll @ SY649 @ SV12 @ SY648 ) )
            | ( perp @ SV12 @ SV60 @ SV60 @ SY648 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(342,plain,
    ! [SV61: $i,SV13: $i] :
      ( ( ! [SY650: $i,SY651: $i,SY652: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY651 @ SV13 @ SV61 )
                        | ~ ( para @ SY651 @ SY652 @ SV61 @ SY650 ) )
                  | ~ ( coll @ SY652 @ SV13 @ SY650 ) )
            | ( midp @ SY652 @ SV13 @ SY650 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(343,plain,
    ! [SV62: $i,SV14: $i] :
      ( ( ! [SY653: $i] :
            ( ~ ~ ( ~ ( cong @ SV14 @ SV62 @ SV14 @ SY653 )
                  | ~ ( coll @ SV14 @ SV62 @ SY653 ) )
            | ( midp @ SV14 @ SV62 @ SY653 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(344,plain,
    ! [SV63: $i,SV15: $i] :
      ( ( ! [SY654: $i,SY655: $i,SY656: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY656 @ SV15 @ SV63 )
                        | ~ ( para @ SV15 @ SY654 @ SV63 @ SY655 ) )
                  | ~ ( para @ SV15 @ SY655 @ SV63 @ SY654 ) )
            | ( midp @ SY656 @ SY654 @ SY655 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(345,plain,
    ! [SV16: $i,SV64: $i] :
      ( ( ! [SY657: $i,SY658: $i] :
            ~ ! [SY659: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY657 @ SV64 @ SV64 @ SV16 )
                        | ~ ( eqangle @ SY658 @ SY657 @ SV64 @ SY657 @ SV64 @ SY657 @ SV16 @ SY657 ) )
                  | ~ ( ~ ( coll @ SY659 @ SV16 @ SV64 )
                      | ~ ( coll @ SY659 @ SY657 @ SY658 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[297]) ).

thf(346,plain,
    ! [SV65: $i,SV17: $i] :
      ( ( ! [SY660: $i,SY661: $i] :
            ~ ! [SY662: $i] :
                ~ ( ~ ( circle @ SY661 @ SV17 @ SV65 @ SY660 )
                  | ( perp @ SY662 @ SV17 @ SV17 @ SY661 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(347,plain,
    ! [SV66: $i,SV18: $i] :
      ( ( ! [SY663: $i,SY664: $i,SY665: $i,SY666: $i] :
            ( ~ ~ ( ~ ( midp @ SY665 @ SV18 @ SV66 )
                  | ~ ( midp @ SY666 @ SY663 @ SY664 ) )
            | ( eqratio @ SY665 @ SV18 @ SV18 @ SV66 @ SY666 @ SY663 @ SY663 @ SY664 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(348,plain,
    ! [SV67: $i,SV19: $i] :
      ( ( ! [SY667: $i,SY668: $i,SY669: $i,SY670: $i] :
            ( ~ ( para @ SV19 @ SV67 @ SY667 @ SY668 )
            | ( eqangle @ SV19 @ SV67 @ SY669 @ SY670 @ SY667 @ SY668 @ SY669 @ SY670 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(349,plain,
    ! [SV68: $i,SV20: $i] :
      ( ( ! [SY671: $i,SY672: $i,SY673: $i] :
            ( ~ ~ ( ~ ( midp @ SY673 @ SV20 @ SV68 )
                  | ~ ( midp @ SY673 @ SY671 @ SY672 ) )
            | ( para @ SV20 @ SY671 @ SV68 @ SY672 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(350,plain,
    ! [SV69: $i,SV21: $i] :
      ( ( ! [SY674: $i,SY675: $i,SY676: $i,SY677: $i,SY678: $i,SY679: $i] :
            ( ~ ( eqangle @ SV21 @ SV69 @ SY674 @ SY675 @ SY676 @ SY677 @ SY678 @ SY679 )
            | ( eqangle @ SV69 @ SV21 @ SY674 @ SY675 @ SY676 @ SY677 @ SY678 @ SY679 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(351,plain,
    ! [SV70: $i,SV22: $i] :
      ( ( ! [SY680: $i] :
            ( ~ ( coll @ SV22 @ SV70 @ SY680 )
            | ( coll @ SV22 @ SY680 @ SV70 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(352,plain,
    ! [SV71: $i,SV23: $i] :
      ( ( ! [SY681: $i,SY682: $i,SY683: $i,SY684: $i,SY685: $i,SY686: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV23 @ SV71 @ SY681 @ SY682 @ SY683 @ SY684 @ SY685 @ SY686 )
                  | ~ ( para @ SY683 @ SY684 @ SY685 @ SY686 ) )
            | ( para @ SV23 @ SV71 @ SY681 @ SY682 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(353,plain,
    ! [SV72: $i,SV24: $i] :
      ( ( ! [SY687: $i] :
            ( ~ ( coll @ SV24 @ SV72 @ SY687 )
            | ( coll @ SV72 @ SV24 @ SY687 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(354,plain,
    ! [SV73: $i,SV25: $i] :
      ( ( ! [SY688: $i,SY689: $i,SY690: $i,SY691: $i] :
            ( ~ ( eqangle @ SV25 @ SV73 @ SY690 @ SY691 @ SY688 @ SY689 @ SY690 @ SY691 )
            | ( para @ SV25 @ SV73 @ SY688 @ SY689 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(355,plain,
    ! [SV74: $i,SV26: $i] :
      ( ( ! [SY692: $i,SY693: $i,SY694: $i,SY695: $i,SY696: $i] :
            ~ ! [SY697: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY696 @ SV26 @ SV74 )
                                    | ~ ( para @ SV26 @ SY693 @ SY695 @ SY696 ) )
                              | ~ ( para @ SV26 @ SY693 @ SV74 @ SY694 ) )
                        | ~ ( coll @ SY693 @ SY694 @ SY695 ) )
                  | ~ ( ~ ( coll @ SY697 @ SV26 @ SY694 )
                      | ~ ( coll @ SY697 @ SY696 @ SY695 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(356,plain,
    ! [SV75: $i,SV27: $i] :
      ( ( ! [SY698: $i,SY699: $i,SY700: $i,SY701: $i,SY702: $i,SY703: $i,SY704: $i,SY705: $i,SY706: $i,SY707: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SY698 @ SY699 @ SY700 @ SY701 @ SY702 @ SY703 )
                  | ~ ( eqangle @ SY700 @ SY701 @ SY702 @ SY703 @ SY704 @ SY705 @ SY706 @ SY707 ) )
            | ( eqangle @ SV27 @ SV75 @ SY698 @ SY699 @ SY704 @ SY705 @ SY706 @ SY707 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(357,plain,
    ! [SV76: $i,SV28: $i] :
      ( ( ! [SY708: $i,SY709: $i,SY710: $i] :
            ~ ! [SY711: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV28 @ SY708 @ SV76 @ SY708 @ SV28 @ SY709 @ SV76 @ SY710 )
                        | ~ ~ ( coll @ SV28 @ SV76 @ SY708 ) )
                  | ~ ( ~ ( eqangle @ SV28 @ SY708 @ SV76 @ SY708 @ SV28 @ SY711 @ SV76 @ SY711 )
                      | ~ ( cyclic @ SY709 @ SV76 @ SY708 @ SY711 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(358,plain,
    ! [SV77: $i,SV29: $i] :
      ( ( ! [SY712: $i,SY713: $i,SY714: $i] :
            ( ~ ~ ( ~ ( circle @ SY713 @ SV29 @ SV77 @ SY712 )
                  | ~ ( eqangle @ SV29 @ SY714 @ SV29 @ SV77 @ SY712 @ SV29 @ SY712 @ SV77 ) )
            | ( perp @ SY713 @ SV29 @ SV29 @ SY714 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(359,plain,
    ! [SV78: $i,SV30: $i] :
      ( ( ! [SY715: $i,SY716: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY715 @ SV30 @ SY715 @ SV78 @ SY716 @ SV30 @ SY716 @ SV78 )
                  | ~ ~ ( coll @ SY715 @ SY716 @ SV30 ) )
            | ( cyclic @ SV30 @ SV78 @ SY715 @ SY716 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(360,plain,
    ! [SV79: $i,SV31: $i] :
      ( ( ! [SY717: $i,SY718: $i,SY719: $i,SY720: $i,SY721: $i,SY722: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV31 @ SV79 @ SY717 @ SY718 @ SY719 @ SY720 @ SY721 @ SY722 )
                  | ~ ( perp @ SY719 @ SY720 @ SY721 @ SY722 ) )
            | ( perp @ SV31 @ SV79 @ SY717 @ SY718 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(361,plain,
    ! [SV80: $i,SV32: $i] :
      ( ( ! [SY723: $i,SY724: $i,SY725: $i,SY726: $i] :
            ( ~ ( simtri @ SV32 @ SV80 @ SY723 @ SY724 @ SY725 @ SY726 )
            | ( eqangle @ SV32 @ SV80 @ SV80 @ SY723 @ SY724 @ SY725 @ SY725 @ SY726 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(362,plain,
    ! [SV81: $i,SV33: $i] :
      ( ( ! [SY727: $i,SY728: $i] :
            ~ ! [SY729: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY727 @ SY728 @ SV33 @ SV81 )
                        | ~ ( eqangle @ SV33 @ SY727 @ SY727 @ SY728 @ SY727 @ SY728 @ SY727 @ SV81 ) )
                  | ~ ( ~ ( coll @ SV81 @ SV33 @ SY729 )
                      | ~ ( coll @ SY729 @ SY727 @ SY728 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(363,plain,
    ! [SV82: $i,SV34: $i] :
      ( ( ! [SY730: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY730 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SY730 @ SV82 )
                  | ~ ~ ( coll @ SY730 @ SV34 @ SV82 ) )
            | ( cong @ SY730 @ SV34 @ SY730 @ SV82 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(364,plain,
    ! [SV83: $i,SV35: $i] :
      ( ( ! [SY731: $i,SY732: $i] :
            ( ~ ( cyclic @ SV35 @ SV83 @ SY731 @ SY732 )
            | ( eqangle @ SY731 @ SV35 @ SY731 @ SV83 @ SY732 @ SV35 @ SY732 @ SV83 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(365,plain,
    ! [SV84: $i,SV36: $i] :
      ( ( ! [SY733: $i,SY734: $i] :
            ( ~ ~ ( ~ ( coll @ SV36 @ SV84 @ SY733 )
                  | ~ ( coll @ SV36 @ SV84 @ SY734 ) )
            | ( coll @ SY733 @ SY734 @ SV36 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(366,plain,
    ! [SV85: $i,SV37: $i] :
      ( ( ! [SY735: $i,SY736: $i,SY737: $i,SY738: $i,SY739: $i,SY740: $i] :
            ( ~ ( eqangle @ SV37 @ SV85 @ SY735 @ SY736 @ SY737 @ SY738 @ SY739 @ SY740 )
            | ( eqangle @ SY737 @ SY738 @ SY739 @ SY740 @ SV37 @ SV85 @ SY735 @ SY736 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(367,plain,
    ! [SV86: $i,SV38: $i] :
      ( ( ! [SY741: $i,SY742: $i,SY743: $i,SY744: $i] :
            ~ ! [SY745: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY743 @ SV38 @ SV86 )
                        | ~ ( midp @ SY744 @ SY741 @ SY742 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY745 @ SV38 @ SY742 )
                            | ~ ( para @ SY745 @ SY743 @ SV86 @ SY742 ) )
                      | ~ ( para @ SY745 @ SY744 @ SV38 @ SY741 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(368,plain,
    ! [SV87: $i,SV39: $i] :
      ( ( ! [SY746: $i,SY747: $i,SY748: $i] :
            ( ~ ~ ( ~ ( circle @ SY747 @ SV39 @ SV87 @ SY746 )
                  | ~ ( midp @ SY748 @ SV87 @ SY746 ) )
            | ( eqangle @ SV39 @ SV87 @ SV39 @ SY746 @ SY747 @ SV87 @ SY747 @ SY748 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(369,plain,
    ! [SV88: $i,SV40: $i] :
      ( ( ! [SY749: $i] :
            ( ~ ( midp @ SV40 @ SV88 @ SY749 )
            | ( cong @ SV40 @ SV88 @ SV40 @ SY749 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(370,plain,
    ! [SV89: $i,SV41: $i] :
      ( ( ! [SY750: $i] :
            ( ~ ( midp @ SV41 @ SV89 @ SY750 )
            | ( coll @ SV41 @ SV89 @ SY750 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(371,plain,
    ! [SV90: $i,SV42: $i] :
      ( ( ! [SY751: $i,SY752: $i] :
            ~ ! [SY753: $i] :
                ~ ~ ! [SY754: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV42 @ SY752 @ SV90 @ SY751 )
                              | ~ ( perp @ SV90 @ SY752 @ SV42 @ SY751 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY753 @ SY751 @ SV90 )
                                        | ~ ( perp @ SV42 @ SY753 @ SY751 @ SV90 ) )
                                  | ~ ( coll @ SY754 @ SY751 @ SV42 ) )
                            | ~ ( perp @ SV90 @ SY754 @ SY751 @ SV42 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(372,plain,
    ! [SV91: $i,SV43: $i] :
      ( ( ! [SY755: $i,SY756: $i,SY757: $i,SY758: $i,SY759: $i,SY760: $i] :
            ( ~ ( eqangle @ SV43 @ SV91 @ SY755 @ SY756 @ SY757 @ SY758 @ SY759 @ SY760 )
            | ( eqangle @ SY755 @ SY756 @ SV43 @ SV91 @ SY759 @ SY760 @ SY757 @ SY758 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(373,plain,
    ! [SV92: $i,SV44: $i] :
      ( ( ! [SY761: $i,SY762: $i,SY763: $i,SY764: $i] :
            ~ ! [SY765: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SY761 @ SY762 )
                                    | ~ ( coll @ SY763 @ SV44 @ SY761 ) )
                              | ~ ( coll @ SY763 @ SV92 @ SY762 ) )
                        | ~ ( coll @ SY764 @ SV44 @ SV92 ) )
                  | ~ ( ~ ( coll @ SY763 @ SY764 @ SY765 )
                      | ~ ( coll @ SY765 @ SY761 @ SY762 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(374,plain,
    ! [SV93: $i,SV45: $i] :
      ( ( ! [SY766: $i,SY767: $i,SY768: $i] :
            ( ~ ~ ( ~ ( midp @ SY767 @ SV45 @ SV93 )
                  | ~ ( midp @ SY768 @ SV45 @ SY766 ) )
            | ( para @ SY767 @ SY768 @ SV93 @ SY766 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(375,plain,
    ! [SV94: $i,SV46: $i] :
      ( ( ! [SY769: $i,SY770: $i,SY771: $i] :
            ~ ! [SY772: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV46 @ SY769 @ SY769 @ SV94 )
                        | ~ ( coll @ SV94 @ SY770 @ SY771 ) )
                  | ~ ( ~ ( coll @ SY772 @ SY770 @ SY771 )
                      | ~ ( perp @ SY772 @ SV46 @ SY770 @ SY771 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(376,plain,
    ! [SV95: $i,SV47: $i] :
      ( ( ! [SY773: $i,SY774: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY773 @ SV47 @ SY773 @ SV95 @ SY774 @ SV47 @ SY774 @ SV95 )
                  | ~ ( coll @ SY773 @ SY774 @ SV95 ) )
            | ( cyclic @ SV47 @ SV95 @ SY773 @ SY774 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(377,plain,
    ! [SV96: $i,SV48: $i] :
      ( ( ! [SY775: $i,SY776: $i,SY777: $i,SY778: $i,SY779: $i,SY780: $i] :
            ( ~ ( eqangle @ SV48 @ SV96 @ SY775 @ SY776 @ SY777 @ SY778 @ SY779 @ SY780 )
            | ( eqangle @ SV48 @ SV96 @ SY777 @ SY778 @ SY775 @ SY776 @ SY779 @ SY780 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(378,plain,
    ! [SV1: $i,SV49: $i,SV97: $i] :
      ( ( ~ ( midp @ SV97 @ SV49 @ SV1 )
        | ( midp @ SV97 @ SV1 @ SV49 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(379,plain,
    ! [SV98: $i,SV50: $i,SV2: $i] :
      ( ( ! [SY781: $i,SY782: $i,SY783: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SY781 @ SY782 @ SY782 @ SY783 )
                        | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SY781 @ SY783 @ SY782 @ SY783 ) )
                  | ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
            | ( simtri @ SV2 @ SV50 @ SV98 @ SY781 @ SY782 @ SY783 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(380,plain,
    ! [SV99: $i,SV51: $i,SV3: $i] :
      ( ( ! [SY784: $i,SY785: $i,SY786: $i] :
            ~ ! [SY787: $i] :
                ~ ~ ! [SY788: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY785 @ SV3 @ SV51 @ SV99 )
                                          | ~ ( cong @ SY785 @ SV3 @ SY785 @ SY784 ) )
                                    | ~ ( cong @ SY786 @ SV3 @ SY786 @ SV51 ) )
                              | ~ ( ( SY785 != SY786 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY787 @ SV3 @ SV99 )
                                        | ~ ( cong @ SY787 @ SY786 @ SY786 @ SV3 ) )
                                  | ~ ( coll @ SY788 @ SV51 @ SY784 ) )
                            | ~ ( cong @ SY788 @ SY786 @ SY786 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(381,plain,
    ! [SV52: $i,SV4: $i,SV100: $i] :
      ( ( ~ ( cong @ SV100 @ SV4 @ SV100 @ SV52 )
        | ( eqangle @ SV100 @ SV4 @ SV4 @ SV52 @ SV4 @ SV52 @ SV100 @ SV52 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(382,plain,
    ! [SV101: $i,SV53: $i,SV5: $i] :
      ( ( ! [SY789: $i] :
            ( ~ ~ ( ~ ( cong @ SY789 @ SV5 @ SY789 @ SV53 )
                  | ~ ( cong @ SY789 @ SV5 @ SY789 @ SV101 ) )
            | ( circle @ SY789 @ SV5 @ SV53 @ SV101 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(383,plain,
    ! [SV102: $i,SV54: $i,SV6: $i] :
      ( ( ! [SY790: $i,SY791: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY790 @ SV6 @ SV54 @ SV102 )
                        | ~ ( coll @ SY791 @ SV54 @ SV102 ) )
                  | ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SY790 @ SV54 @ SY790 @ SY791 ) )
            | ( midp @ SY791 @ SV54 @ SV102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(384,plain,
    ! [SV103: $i,SV55: $i,SV7: $i] :
      ( ( ! [SY792: $i,SY793: $i] :
            ( ~ ~ ( ~ ( circle @ SY792 @ SV7 @ SV55 @ SV103 )
                  | ~ ( perp @ SY792 @ SV7 @ SV7 @ SY793 ) )
            | ( eqangle @ SV7 @ SY793 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(385,plain,
    ! [SV56: $i,SV8: $i,SV104: $i] :
      ( ( ! [SY794: $i] :
            ~ ! [SY795: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
                        | ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SY794 @ SV104 @ SY794 @ SV104 @ SV56 ) )
                  | ~ ( ~ ( coll @ SV56 @ SV8 @ SY795 )
                      | ~ ( coll @ SY795 @ SV104 @ SY794 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(386,plain,
    ! [SV105: $i,SV57: $i,SV9: $i] :
      ( ( ! [SY796: $i,SY797: $i] :
            ~ ! [SY798: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                              | ~ ( perp @ SV105 @ SV9 @ SV105 @ SY796 ) )
                        | ~ ( midp @ SY797 @ SV57 @ SY796 ) )
                  | ( midp @ SY798 @ SV9 @ SV105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(387,plain,
    ! [SV106: $i,SV58: $i,SV10: $i] :
      ( ( ~ ( para @ SV10 @ SV58 @ SV10 @ SV106 )
        | ( coll @ SV10 @ SV58 @ SV106 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(388,plain,
    ! [SV107: $i,SV59: $i,SV11: $i] :
      ( ( ! [SY799: $i,SY800: $i,SY801: $i,SY802: $i] :
            ~ ! [SY803: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY800 @ SV11 @ SV59 )
                                    | ~ ( midp @ SY801 @ SV107 @ SY799 ) )
                              | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
                        | ~ ( coll @ SY799 @ SV11 @ SV59 ) )
                  | ( midp @ SY803 @ SV11 @ SY802 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(389,plain,
    ! [SV108: $i,SV60: $i,SV12: $i] :
      ( ( ! [SY804: $i] :
            ( ~ ~ ( ~ ( circle @ SY804 @ SV12 @ SV60 @ SV108 )
                  | ~ ( coll @ SY804 @ SV12 @ SV108 ) )
            | ( perp @ SV12 @ SV60 @ SV60 @ SV108 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(390,plain,
    ! [SV109: $i,SV61: $i,SV13: $i] :
      ( ( ! [SY805: $i,SY806: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY805 @ SV13 @ SV61 )
                        | ~ ( para @ SY805 @ SY806 @ SV61 @ SV109 ) )
                  | ~ ( coll @ SY806 @ SV13 @ SV109 ) )
            | ( midp @ SY806 @ SV13 @ SV109 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(391,plain,
    ! [SV110: $i,SV62: $i,SV14: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV14 @ SV62 @ SV14 @ SV110 )
              | ~ ( coll @ SV14 @ SV62 @ SV110 ) )
        | ( midp @ SV14 @ SV62 @ SV110 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(392,plain,
    ! [SV111: $i,SV63: $i,SV15: $i] :
      ( ( ! [SY807: $i,SY808: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY808 @ SV15 @ SV63 )
                        | ~ ( para @ SV15 @ SV111 @ SV63 @ SY807 ) )
                  | ~ ( para @ SV15 @ SY807 @ SV63 @ SV111 ) )
            | ( midp @ SY808 @ SV111 @ SY807 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(393,plain,
    ! [SV16: $i,SV64: $i,SV112: $i] :
      ( ( ! [SY809: $i] :
            ~ ! [SY810: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
                        | ~ ( eqangle @ SY809 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) )
                  | ~ ( ~ ( coll @ SY810 @ SV16 @ SV64 )
                      | ~ ( coll @ SY810 @ SV112 @ SY809 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(394,plain,
    ! [SV113: $i,SV65: $i,SV17: $i] :
      ( ( ! [SY811: $i] :
            ~ ! [SY812: $i] :
                ~ ( ~ ( circle @ SY811 @ SV17 @ SV65 @ SV113 )
                  | ( perp @ SY812 @ SV17 @ SV17 @ SY811 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(395,plain,
    ! [SV114: $i,SV66: $i,SV18: $i] :
      ( ( ! [SY813: $i,SY814: $i,SY815: $i] :
            ( ~ ~ ( ~ ( midp @ SY814 @ SV18 @ SV66 )
                  | ~ ( midp @ SY815 @ SV114 @ SY813 ) )
            | ( eqratio @ SY814 @ SV18 @ SV18 @ SV66 @ SY815 @ SV114 @ SV114 @ SY813 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(396,plain,
    ! [SV115: $i,SV67: $i,SV19: $i] :
      ( ( ! [SY816: $i,SY817: $i,SY818: $i] :
            ( ~ ( para @ SV19 @ SV67 @ SV115 @ SY816 )
            | ( eqangle @ SV19 @ SV67 @ SY817 @ SY818 @ SV115 @ SY816 @ SY817 @ SY818 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(397,plain,
    ! [SV116: $i,SV68: $i,SV20: $i] :
      ( ( ! [SY819: $i,SY820: $i] :
            ( ~ ~ ( ~ ( midp @ SY820 @ SV20 @ SV68 )
                  | ~ ( midp @ SY820 @ SV116 @ SY819 ) )
            | ( para @ SV20 @ SV116 @ SV68 @ SY819 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(398,plain,
    ! [SV117: $i,SV69: $i,SV21: $i] :
      ( ( ! [SY821: $i,SY822: $i,SY823: $i,SY824: $i,SY825: $i] :
            ( ~ ( eqangle @ SV21 @ SV69 @ SV117 @ SY821 @ SY822 @ SY823 @ SY824 @ SY825 )
            | ( eqangle @ SV69 @ SV21 @ SV117 @ SY821 @ SY822 @ SY823 @ SY824 @ SY825 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(399,plain,
    ! [SV118: $i,SV70: $i,SV22: $i] :
      ( ( ~ ( coll @ SV22 @ SV70 @ SV118 )
        | ( coll @ SV22 @ SV118 @ SV70 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(400,plain,
    ! [SV119: $i,SV71: $i,SV23: $i] :
      ( ( ! [SY826: $i,SY827: $i,SY828: $i,SY829: $i,SY830: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SY826 @ SY827 @ SY828 @ SY829 @ SY830 )
                  | ~ ( para @ SY827 @ SY828 @ SY829 @ SY830 ) )
            | ( para @ SV23 @ SV71 @ SV119 @ SY826 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(401,plain,
    ! [SV120: $i,SV72: $i,SV24: $i] :
      ( ( ~ ( coll @ SV24 @ SV72 @ SV120 )
        | ( coll @ SV72 @ SV24 @ SV120 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(402,plain,
    ! [SV121: $i,SV73: $i,SV25: $i] :
      ( ( ! [SY831: $i,SY832: $i,SY833: $i] :
            ( ~ ( eqangle @ SV25 @ SV73 @ SY832 @ SY833 @ SV121 @ SY831 @ SY832 @ SY833 )
            | ( para @ SV25 @ SV73 @ SV121 @ SY831 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(403,plain,
    ! [SV74: $i,SV26: $i] :
      ( ( ! [SY693: $i,SY694: $i,SY695: $i,SY696: $i] :
            ~ ! [SY697: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY696 @ SV26 @ SV74 )
                                    | ~ ( para @ SV26 @ SY693 @ SY695 @ SY696 ) )
                              | ~ ( para @ SV26 @ SY693 @ SV74 @ SY694 ) )
                        | ~ ( coll @ SY693 @ SY694 @ SY695 ) )
                  | ~ ( ~ ( coll @ SY697 @ SV26 @ SY694 )
                      | ~ ( coll @ SY697 @ SY696 @ SY695 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(404,plain,
    ! [SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY839: $i,SY840: $i,SY841: $i,SY842: $i,SY843: $i,SY844: $i,SY845: $i,SY846: $i,SY847: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SY839 @ SY840 @ SY841 @ SY842 @ SY843 )
                  | ~ ( eqangle @ SY840 @ SY841 @ SY842 @ SY843 @ SY844 @ SY845 @ SY846 @ SY847 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SY839 @ SY844 @ SY845 @ SY846 @ SY847 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(405,plain,
    ! [SV76: $i,SV124: $i,SV28: $i] :
      ( ( ! [SY848: $i,SY849: $i] :
            ~ ! [SY850: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SY848 @ SV76 @ SY849 )
                        | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
                  | ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SY850 @ SV76 @ SY850 )
                      | ~ ( cyclic @ SY848 @ SV76 @ SV124 @ SY850 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(406,plain,
    ! [SV125: $i,SV77: $i,SV29: $i] :
      ( ( ! [SY851: $i,SY852: $i] :
            ( ~ ~ ( ~ ( circle @ SY851 @ SV29 @ SV77 @ SV125 )
                  | ~ ( eqangle @ SV29 @ SY852 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 ) )
            | ( perp @ SY851 @ SV29 @ SV29 @ SY852 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(407,plain,
    ! [SV78: $i,SV30: $i,SV126: $i] :
      ( ( ! [SY853: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SY853 @ SV30 @ SY853 @ SV78 )
                  | ~ ~ ( coll @ SV126 @ SY853 @ SV30 ) )
            | ( cyclic @ SV30 @ SV78 @ SV126 @ SY853 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(408,plain,
    ! [SV127: $i,SV79: $i,SV31: $i] :
      ( ( ! [SY854: $i,SY855: $i,SY856: $i,SY857: $i,SY858: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SY854 @ SY855 @ SY856 @ SY857 @ SY858 )
                  | ~ ( perp @ SY855 @ SY856 @ SY857 @ SY858 ) )
            | ( perp @ SV31 @ SV79 @ SV127 @ SY854 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(409,plain,
    ! [SV128: $i,SV80: $i,SV32: $i] :
      ( ( ! [SY859: $i,SY860: $i,SY861: $i] :
            ( ~ ( simtri @ SV32 @ SV80 @ SV128 @ SY859 @ SY860 @ SY861 )
            | ( eqangle @ SV32 @ SV80 @ SV80 @ SV128 @ SY859 @ SY860 @ SY860 @ SY861 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(410,plain,
    ! [SV81: $i,SV33: $i,SV129: $i] :
      ( ( ! [SY862: $i] :
            ~ ! [SY863: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV129 @ SY862 @ SV33 @ SV81 )
                        | ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SY862 @ SV129 @ SY862 @ SV129 @ SV81 ) )
                  | ~ ( ~ ( coll @ SV81 @ SV33 @ SY863 )
                      | ~ ( coll @ SY863 @ SV129 @ SY862 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(411,plain,
    ! [SV82: $i,SV34: $i,SV130: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV130 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SV130 @ SV82 )
              | ~ ~ ( coll @ SV130 @ SV34 @ SV82 ) )
        | ( cong @ SV130 @ SV34 @ SV130 @ SV82 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(412,plain,
    ! [SV131: $i,SV83: $i,SV35: $i] :
      ( ( ! [SY864: $i] :
            ( ~ ( cyclic @ SV35 @ SV83 @ SV131 @ SY864 )
            | ( eqangle @ SV131 @ SV35 @ SV131 @ SV83 @ SY864 @ SV35 @ SY864 @ SV83 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(413,plain,
    ! [SV132: $i,SV84: $i,SV36: $i] :
      ( ( ! [SY865: $i] :
            ( ~ ~ ( ~ ( coll @ SV36 @ SV84 @ SV132 )
                  | ~ ( coll @ SV36 @ SV84 @ SY865 ) )
            | ( coll @ SV132 @ SY865 @ SV36 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(414,plain,
    ! [SV133: $i,SV85: $i,SV37: $i] :
      ( ( ! [SY866: $i,SY867: $i,SY868: $i,SY869: $i,SY870: $i] :
            ( ~ ( eqangle @ SV37 @ SV85 @ SV133 @ SY866 @ SY867 @ SY868 @ SY869 @ SY870 )
            | ( eqangle @ SY867 @ SY868 @ SY869 @ SY870 @ SV37 @ SV85 @ SV133 @ SY866 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(415,plain,
    ! [SV134: $i,SV86: $i,SV38: $i] :
      ( ( ! [SY871: $i,SY872: $i,SY873: $i] :
            ~ ! [SY874: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY872 @ SV38 @ SV86 )
                        | ~ ( midp @ SY873 @ SV134 @ SY871 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY874 @ SV38 @ SY871 )
                            | ~ ( para @ SY874 @ SY872 @ SV86 @ SY871 ) )
                      | ~ ( para @ SY874 @ SY873 @ SV38 @ SV134 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(416,plain,
    ! [SV135: $i,SV87: $i,SV39: $i] :
      ( ( ! [SY875: $i,SY876: $i] :
            ( ~ ~ ( ~ ( circle @ SY875 @ SV39 @ SV87 @ SV135 )
                  | ~ ( midp @ SY876 @ SV87 @ SV135 ) )
            | ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SY875 @ SV87 @ SY875 @ SY876 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(417,plain,
    ! [SV136: $i,SV88: $i,SV40: $i] :
      ( ( ~ ( midp @ SV40 @ SV88 @ SV136 )
        | ( cong @ SV40 @ SV88 @ SV40 @ SV136 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(418,plain,
    ! [SV137: $i,SV89: $i,SV41: $i] :
      ( ( ~ ( midp @ SV41 @ SV89 @ SV137 )
        | ( coll @ SV41 @ SV89 @ SV137 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(419,plain,
    ! [SV138: $i,SV90: $i,SV42: $i] :
      ( ( ! [SY877: $i] :
            ~ ! [SY878: $i] :
                ~ ~ ! [SY879: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV42 @ SY877 @ SV90 @ SV138 )
                              | ~ ( perp @ SV90 @ SY877 @ SV42 @ SV138 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY878 @ SV138 @ SV90 )
                                        | ~ ( perp @ SV42 @ SY878 @ SV138 @ SV90 ) )
                                  | ~ ( coll @ SY879 @ SV138 @ SV42 ) )
                            | ~ ( perp @ SV90 @ SY879 @ SV138 @ SV42 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(420,plain,
    ! [SV139: $i,SV91: $i,SV43: $i] :
      ( ( ! [SY880: $i,SY881: $i,SY882: $i,SY883: $i,SY884: $i] :
            ( ~ ( eqangle @ SV43 @ SV91 @ SV139 @ SY880 @ SY881 @ SY882 @ SY883 @ SY884 )
            | ( eqangle @ SV139 @ SY880 @ SV43 @ SV91 @ SY883 @ SY884 @ SY881 @ SY882 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(421,plain,
    ! [SV140: $i,SV92: $i,SV44: $i] :
      ( ( ! [SY885: $i,SY886: $i,SY887: $i] :
            ~ ! [SY888: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SY885 )
                                    | ~ ( coll @ SY886 @ SV44 @ SV140 ) )
                              | ~ ( coll @ SY886 @ SV92 @ SY885 ) )
                        | ~ ( coll @ SY887 @ SV44 @ SV92 ) )
                  | ~ ( ~ ( coll @ SY886 @ SY887 @ SY888 )
                      | ~ ( coll @ SY888 @ SV140 @ SY885 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(422,plain,
    ! [SV141: $i,SV93: $i,SV45: $i] :
      ( ( ! [SY889: $i,SY890: $i] :
            ( ~ ~ ( ~ ( midp @ SY889 @ SV45 @ SV93 )
                  | ~ ( midp @ SY890 @ SV45 @ SV141 ) )
            | ( para @ SY889 @ SY890 @ SV93 @ SV141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(423,plain,
    ! [SV94: $i,SV142: $i,SV46: $i] :
      ( ( ! [SY891: $i,SY892: $i] :
            ~ ! [SY893: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
                        | ~ ( coll @ SV94 @ SY891 @ SY892 ) )
                  | ~ ( ~ ( coll @ SY893 @ SY891 @ SY892 )
                      | ~ ( perp @ SY893 @ SV46 @ SY891 @ SY892 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(424,plain,
    ! [SV95: $i,SV47: $i,SV143: $i] :
      ( ( ! [SY894: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV143 @ SV47 @ SV143 @ SV95 @ SY894 @ SV47 @ SY894 @ SV95 )
                  | ~ ( coll @ SV143 @ SY894 @ SV95 ) )
            | ( cyclic @ SV47 @ SV95 @ SV143 @ SY894 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(425,plain,
    ! [SV144: $i,SV96: $i,SV48: $i] :
      ( ( ! [SY895: $i,SY896: $i,SY897: $i,SY898: $i,SY899: $i] :
            ( ~ ( eqangle @ SV48 @ SV96 @ SV144 @ SY895 @ SY896 @ SY897 @ SY898 @ SY899 )
            | ( eqangle @ SV48 @ SV96 @ SY896 @ SY897 @ SV144 @ SY895 @ SY898 @ SY899 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[377]) ).

thf(426,plain,
    ! [SV1: $i,SV49: $i,SV97: $i] :
      ( ( ( ~ ( midp @ SV97 @ SV49 @ SV1 ) )
        = $true )
      | ( ( midp @ SV97 @ SV1 @ SV49 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[378]) ).

thf(427,plain,
    ! [SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ! [SY900: $i,SY901: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SY900 @ SY900 @ SY901 )
                        | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SY901 @ SY900 @ SY901 ) )
                  | ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
            | ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SY900 @ SY901 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[379]) ).

thf(428,plain,
    ! [SV146: $i,SV99: $i,SV51: $i,SV3: $i] :
      ( ( ! [SY902: $i,SY903: $i] :
            ~ ! [SY904: $i] :
                ~ ~ ! [SY905: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY902 @ SV3 @ SV51 @ SV99 )
                                          | ~ ( cong @ SY902 @ SV3 @ SY902 @ SV146 ) )
                                    | ~ ( cong @ SY903 @ SV3 @ SY903 @ SV51 ) )
                              | ~ ( ( SY902 != SY903 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY904 @ SV3 @ SV99 )
                                        | ~ ( cong @ SY904 @ SY903 @ SY903 @ SV3 ) )
                                  | ~ ( coll @ SY905 @ SV51 @ SV146 ) )
                            | ~ ( cong @ SY905 @ SY903 @ SY903 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(429,plain,
    ! [SV52: $i,SV4: $i,SV100: $i] :
      ( ( ( ~ ( cong @ SV100 @ SV4 @ SV100 @ SV52 ) )
        = $true )
      | ( ( eqangle @ SV100 @ SV4 @ SV4 @ SV52 @ SV4 @ SV52 @ SV100 @ SV52 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[381]) ).

thf(430,plain,
    ! [SV101: $i,SV53: $i,SV5: $i,SV147: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV147 @ SV5 @ SV147 @ SV53 )
              | ~ ( cong @ SV147 @ SV5 @ SV147 @ SV101 ) )
        | ( circle @ SV147 @ SV5 @ SV53 @ SV101 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[382]) ).

thf(431,plain,
    ! [SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ! [SY906: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
                        | ~ ( coll @ SY906 @ SV54 @ SV102 ) )
                  | ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SY906 ) )
            | ( midp @ SY906 @ SV54 @ SV102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[383]) ).

thf(432,plain,
    ! [SV103: $i,SV55: $i,SV7: $i,SV149: $i] :
      ( ( ! [SY907: $i] :
            ( ~ ~ ( ~ ( circle @ SV149 @ SV7 @ SV55 @ SV103 )
                  | ~ ( perp @ SV149 @ SV7 @ SV7 @ SY907 ) )
            | ( eqangle @ SV7 @ SY907 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[384]) ).

thf(433,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ~ ! [SY908: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
                      | ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) )
                | ~ ( ~ ( coll @ SV56 @ SV8 @ SY908 )
                    | ~ ( coll @ SY908 @ SV104 @ SV150 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[385]) ).

thf(434,plain,
    ! [SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ! [SY909: $i] :
            ~ ! [SY910: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                              | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
                        | ~ ( midp @ SY909 @ SV57 @ SV151 ) )
                  | ( midp @ SY910 @ SV9 @ SV105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[386]) ).

thf(435,plain,
    ! [SV106: $i,SV58: $i,SV10: $i] :
      ( ( ( ~ ( para @ SV10 @ SV58 @ SV10 @ SV106 ) )
        = $true )
      | ( ( coll @ SV10 @ SV58 @ SV106 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(436,plain,
    ! [SV152: $i,SV107: $i,SV59: $i,SV11: $i] :
      ( ( ! [SY911: $i,SY912: $i,SY913: $i] :
            ~ ! [SY914: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY911 @ SV11 @ SV59 )
                                    | ~ ( midp @ SY912 @ SV107 @ SV152 ) )
                              | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
                        | ~ ( coll @ SV152 @ SV11 @ SV59 ) )
                  | ( midp @ SY914 @ SV11 @ SY913 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[388]) ).

thf(437,plain,
    ! [SV108: $i,SV60: $i,SV12: $i,SV153: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV153 @ SV12 @ SV60 @ SV108 )
              | ~ ( coll @ SV153 @ SV12 @ SV108 ) )
        | ( perp @ SV12 @ SV60 @ SV60 @ SV108 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(438,plain,
    ! [SV109: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ! [SY915: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SV154 @ SV13 @ SV61 )
                        | ~ ( para @ SV154 @ SY915 @ SV61 @ SV109 ) )
                  | ~ ( coll @ SY915 @ SV13 @ SV109 ) )
            | ( midp @ SY915 @ SV13 @ SV109 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(439,plain,
    ! [SV110: $i,SV62: $i,SV14: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV14 @ SV62 @ SV14 @ SV110 )
                | ~ ( coll @ SV14 @ SV62 @ SV110 ) ) )
        = $true )
      | ( ( midp @ SV14 @ SV62 @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[391]) ).

thf(440,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i] :
      ( ( ! [SY916: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY916 @ SV15 @ SV63 )
                        | ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) )
                  | ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
            | ( midp @ SY916 @ SV111 @ SV155 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(441,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ~ ! [SY917: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
                      | ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) )
                | ~ ( ~ ( coll @ SY917 @ SV16 @ SV64 )
                    | ~ ( coll @ SY917 @ SV112 @ SV156 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[393]) ).

thf(442,plain,
    ! [SV113: $i,SV65: $i,SV17: $i,SV157: $i] :
      ( ( ~ ! [SY918: $i] :
              ~ ( ~ ( circle @ SV157 @ SV17 @ SV65 @ SV113 )
                | ( perp @ SY918 @ SV17 @ SV17 @ SV157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(443,plain,
    ! [SV158: $i,SV114: $i,SV66: $i,SV18: $i] :
      ( ( ! [SY919: $i,SY920: $i] :
            ( ~ ~ ( ~ ( midp @ SY919 @ SV18 @ SV66 )
                  | ~ ( midp @ SY920 @ SV114 @ SV158 ) )
            | ( eqratio @ SY919 @ SV18 @ SV18 @ SV66 @ SY920 @ SV114 @ SV114 @ SV158 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[395]) ).

thf(444,plain,
    ! [SV159: $i,SV115: $i,SV67: $i,SV19: $i] :
      ( ( ! [SY921: $i,SY922: $i] :
            ( ~ ( para @ SV19 @ SV67 @ SV115 @ SV159 )
            | ( eqangle @ SV19 @ SV67 @ SY921 @ SY922 @ SV115 @ SV159 @ SY921 @ SY922 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(445,plain,
    ! [SV160: $i,SV116: $i,SV68: $i,SV20: $i] :
      ( ( ! [SY923: $i] :
            ( ~ ~ ( ~ ( midp @ SY923 @ SV20 @ SV68 )
                  | ~ ( midp @ SY923 @ SV116 @ SV160 ) )
            | ( para @ SV20 @ SV116 @ SV68 @ SV160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[397]) ).

thf(446,plain,
    ! [SV161: $i,SV117: $i,SV69: $i,SV21: $i] :
      ( ( ! [SY924: $i,SY925: $i,SY926: $i,SY927: $i] :
            ( ~ ( eqangle @ SV21 @ SV69 @ SV117 @ SV161 @ SY924 @ SY925 @ SY926 @ SY927 )
            | ( eqangle @ SV69 @ SV21 @ SV117 @ SV161 @ SY924 @ SY925 @ SY926 @ SY927 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(447,plain,
    ! [SV118: $i,SV70: $i,SV22: $i] :
      ( ( ( ~ ( coll @ SV22 @ SV70 @ SV118 ) )
        = $true )
      | ( ( coll @ SV22 @ SV118 @ SV70 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[399]) ).

thf(448,plain,
    ! [SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ! [SY928: $i,SY929: $i,SY930: $i,SY931: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SY928 @ SY929 @ SY930 @ SY931 )
                  | ~ ( para @ SY928 @ SY929 @ SY930 @ SY931 ) )
            | ( para @ SV23 @ SV71 @ SV119 @ SV162 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[400]) ).

thf(449,plain,
    ! [SV120: $i,SV72: $i,SV24: $i] :
      ( ( ( ~ ( coll @ SV24 @ SV72 @ SV120 ) )
        = $true )
      | ( ( coll @ SV72 @ SV24 @ SV120 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[401]) ).

thf(450,plain,
    ! [SV163: $i,SV121: $i,SV73: $i,SV25: $i] :
      ( ( ! [SY932: $i,SY933: $i] :
            ( ~ ( eqangle @ SV25 @ SV73 @ SY932 @ SY933 @ SV121 @ SV163 @ SY932 @ SY933 )
            | ( para @ SV25 @ SV73 @ SV121 @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(451,plain,
    ! [SV164: $i,SV74: $i,SV26: $i] :
      ( ( ! [SY934: $i,SY935: $i,SY936: $i] :
            ~ ! [SY937: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY936 @ SV26 @ SV74 )
                                    | ~ ( para @ SV26 @ SV164 @ SY935 @ SY936 ) )
                              | ~ ( para @ SV26 @ SV164 @ SV74 @ SY934 ) )
                        | ~ ( coll @ SV164 @ SY934 @ SY935 ) )
                  | ~ ( ~ ( coll @ SY937 @ SV26 @ SY934 )
                      | ~ ( coll @ SY937 @ SY936 @ SY935 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(452,plain,
    ! [SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY938: $i,SY939: $i,SY940: $i,SY941: $i,SY942: $i,SY943: $i,SY944: $i,SY945: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SY938 @ SY939 @ SY940 @ SY941 )
                  | ~ ( eqangle @ SY938 @ SY939 @ SY940 @ SY941 @ SY942 @ SY943 @ SY944 @ SY945 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SY942 @ SY943 @ SY944 @ SY945 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(453,plain,
    ! [SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ! [SY946: $i] :
            ~ ! [SY947: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SY946 )
                        | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
                  | ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SY947 @ SV76 @ SY947 )
                      | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ SY947 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[405]) ).

thf(454,plain,
    ! [SV125: $i,SV77: $i,SV29: $i,SV167: $i] :
      ( ( ! [SY948: $i] :
            ( ~ ~ ( ~ ( circle @ SV167 @ SV29 @ SV77 @ SV125 )
                  | ~ ( eqangle @ SV29 @ SY948 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 ) )
            | ( perp @ SV167 @ SV29 @ SV29 @ SY948 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[406]) ).

thf(455,plain,
    ! [SV168: $i,SV78: $i,SV30: $i,SV126: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SV168 @ SV30 @ SV168 @ SV78 )
              | ~ ~ ( coll @ SV126 @ SV168 @ SV30 ) )
        | ( cyclic @ SV30 @ SV78 @ SV126 @ SV168 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[407]) ).

thf(456,plain,
    ! [SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ! [SY949: $i,SY950: $i,SY951: $i,SY952: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SY949 @ SY950 @ SY951 @ SY952 )
                  | ~ ( perp @ SY949 @ SY950 @ SY951 @ SY952 ) )
            | ( perp @ SV31 @ SV79 @ SV127 @ SV169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(457,plain,
    ! [SV170: $i,SV128: $i,SV80: $i,SV32: $i] :
      ( ( ! [SY953: $i,SY954: $i] :
            ( ~ ( simtri @ SV32 @ SV80 @ SV128 @ SV170 @ SY953 @ SY954 )
            | ( eqangle @ SV32 @ SV80 @ SV80 @ SV128 @ SV170 @ SY953 @ SY953 @ SY954 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[409]) ).

thf(458,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ~ ! [SY955: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
                      | ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) )
                | ~ ( ~ ( coll @ SV81 @ SV33 @ SY955 )
                    | ~ ( coll @ SY955 @ SV129 @ SV171 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(459,plain,
    ! [SV82: $i,SV34: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV130 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SV130 @ SV82 )
                | ~ ~ ( coll @ SV130 @ SV34 @ SV82 ) ) )
        = $true )
      | ( ( cong @ SV130 @ SV34 @ SV130 @ SV82 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[411]) ).

thf(460,plain,
    ! [SV172: $i,SV131: $i,SV83: $i,SV35: $i] :
      ( ( ~ ( cyclic @ SV35 @ SV83 @ SV131 @ SV172 )
        | ( eqangle @ SV131 @ SV35 @ SV131 @ SV83 @ SV172 @ SV35 @ SV172 @ SV83 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[412]) ).

thf(461,plain,
    ! [SV173: $i,SV132: $i,SV84: $i,SV36: $i] :
      ( ( ~ ~ ( ~ ( coll @ SV36 @ SV84 @ SV132 )
              | ~ ( coll @ SV36 @ SV84 @ SV173 ) )
        | ( coll @ SV132 @ SV173 @ SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[413]) ).

thf(462,plain,
    ! [SV174: $i,SV133: $i,SV85: $i,SV37: $i] :
      ( ( ! [SY956: $i,SY957: $i,SY958: $i,SY959: $i] :
            ( ~ ( eqangle @ SV37 @ SV85 @ SV133 @ SV174 @ SY956 @ SY957 @ SY958 @ SY959 )
            | ( eqangle @ SY956 @ SY957 @ SY958 @ SY959 @ SV37 @ SV85 @ SV133 @ SV174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(463,plain,
    ! [SV175: $i,SV134: $i,SV86: $i,SV38: $i] :
      ( ( ! [SY960: $i,SY961: $i] :
            ~ ! [SY962: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY960 @ SV38 @ SV86 )
                        | ~ ( midp @ SY961 @ SV134 @ SV175 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY962 @ SV38 @ SV175 )
                            | ~ ( para @ SY962 @ SY960 @ SV86 @ SV175 ) )
                      | ~ ( para @ SY962 @ SY961 @ SV38 @ SV134 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[415]) ).

thf(464,plain,
    ! [SV135: $i,SV87: $i,SV39: $i,SV176: $i] :
      ( ( ! [SY963: $i] :
            ( ~ ~ ( ~ ( circle @ SV176 @ SV39 @ SV87 @ SV135 )
                  | ~ ( midp @ SY963 @ SV87 @ SV135 ) )
            | ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SV176 @ SV87 @ SV176 @ SY963 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[416]) ).

thf(465,plain,
    ! [SV136: $i,SV88: $i,SV40: $i] :
      ( ( ( ~ ( midp @ SV40 @ SV88 @ SV136 ) )
        = $true )
      | ( ( cong @ SV40 @ SV88 @ SV40 @ SV136 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(466,plain,
    ! [SV137: $i,SV89: $i,SV41: $i] :
      ( ( ( ~ ( midp @ SV41 @ SV89 @ SV137 ) )
        = $true )
      | ( ( coll @ SV41 @ SV89 @ SV137 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(467,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ~ ! [SY964: $i] :
              ~ ~ ! [SY965: $i] :
                    ~ ( ~ ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
                            | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY964 @ SV138 @ SV90 )
                                      | ~ ( perp @ SV42 @ SY964 @ SV138 @ SV90 ) )
                                | ~ ( coll @ SY965 @ SV138 @ SV42 ) )
                          | ~ ( perp @ SV90 @ SY965 @ SV138 @ SV42 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(468,plain,
    ! [SV178: $i,SV139: $i,SV91: $i,SV43: $i] :
      ( ( ! [SY966: $i,SY967: $i,SY968: $i,SY969: $i] :
            ( ~ ( eqangle @ SV43 @ SV91 @ SV139 @ SV178 @ SY966 @ SY967 @ SY968 @ SY969 )
            | ( eqangle @ SV139 @ SV178 @ SV43 @ SV91 @ SY968 @ SY969 @ SY966 @ SY967 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[420]) ).

thf(469,plain,
    ! [SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ! [SY970: $i,SY971: $i] :
            ~ ! [SY972: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                                    | ~ ( coll @ SY970 @ SV44 @ SV140 ) )
                              | ~ ( coll @ SY970 @ SV92 @ SV179 ) )
                        | ~ ( coll @ SY971 @ SV44 @ SV92 ) )
                  | ~ ( ~ ( coll @ SY970 @ SY971 @ SY972 )
                      | ~ ( coll @ SY972 @ SV140 @ SV179 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(470,plain,
    ! [SV141: $i,SV93: $i,SV45: $i,SV180: $i] :
      ( ( ! [SY973: $i] :
            ( ~ ~ ( ~ ( midp @ SV180 @ SV45 @ SV93 )
                  | ~ ( midp @ SY973 @ SV45 @ SV141 ) )
            | ( para @ SV180 @ SY973 @ SV93 @ SV141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[422]) ).

thf(471,plain,
    ! [SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ! [SY974: $i] :
            ~ ! [SY975: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
                        | ~ ( coll @ SV94 @ SV181 @ SY974 ) )
                  | ~ ( ~ ( coll @ SY975 @ SV181 @ SY974 )
                      | ~ ( perp @ SY975 @ SV46 @ SV181 @ SY974 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[423]) ).

thf(472,plain,
    ! [SV182: $i,SV95: $i,SV47: $i,SV143: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV143 @ SV47 @ SV143 @ SV95 @ SV182 @ SV47 @ SV182 @ SV95 )
              | ~ ( coll @ SV143 @ SV182 @ SV95 ) )
        | ( cyclic @ SV47 @ SV95 @ SV143 @ SV182 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(473,plain,
    ! [SV183: $i,SV144: $i,SV96: $i,SV48: $i] :
      ( ( ! [SY976: $i,SY977: $i,SY978: $i,SY979: $i] :
            ( ~ ( eqangle @ SV48 @ SV96 @ SV144 @ SV183 @ SY976 @ SY977 @ SY978 @ SY979 )
            | ( eqangle @ SV48 @ SV96 @ SY976 @ SY977 @ SV144 @ SV183 @ SY978 @ SY979 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(474,plain,
    ! [SV1: $i,SV49: $i,SV97: $i] :
      ( ( ( midp @ SV97 @ SV49 @ SV1 )
        = $false )
      | ( ( midp @ SV97 @ SV1 @ SV49 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[426]) ).

thf(475,plain,
    ! [SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ! [SY980: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SY980 )
                        | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SY980 @ SV184 @ SY980 ) )
                  | ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
            | ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SY980 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(476,plain,
    ! [SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ! [SY981: $i] :
            ~ ! [SY982: $i] :
                ~ ~ ! [SY983: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                                          | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                                    | ~ ( cong @ SY981 @ SV3 @ SY981 @ SV51 ) )
                              | ~ ( ( SV185 != SY981 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY982 @ SV3 @ SV99 )
                                        | ~ ( cong @ SY982 @ SY981 @ SY981 @ SV3 ) )
                                  | ~ ( coll @ SY983 @ SV51 @ SV146 ) )
                            | ~ ( cong @ SY983 @ SY981 @ SY981 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(477,plain,
    ! [SV52: $i,SV4: $i,SV100: $i] :
      ( ( ( cong @ SV100 @ SV4 @ SV100 @ SV52 )
        = $false )
      | ( ( eqangle @ SV100 @ SV4 @ SV4 @ SV52 @ SV4 @ SV52 @ SV100 @ SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(478,plain,
    ! [SV101: $i,SV53: $i,SV5: $i,SV147: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV147 @ SV5 @ SV147 @ SV53 )
                | ~ ( cong @ SV147 @ SV5 @ SV147 @ SV101 ) ) )
        = $true )
      | ( ( circle @ SV147 @ SV5 @ SV53 @ SV101 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[430]) ).

thf(479,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
                    | ~ ( coll @ SV186 @ SV54 @ SV102 ) )
              | ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) )
        | ( midp @ SV186 @ SV54 @ SV102 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(480,plain,
    ! [SV187: $i,SV103: $i,SV55: $i,SV7: $i,SV149: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV149 @ SV7 @ SV55 @ SV103 )
              | ~ ( perp @ SV149 @ SV7 @ SV7 @ SV187 ) )
        | ( eqangle @ SV7 @ SV187 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(481,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ! [SY908: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
                    | ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) )
              | ~ ( ~ ( coll @ SV56 @ SV8 @ SY908 )
                  | ~ ( coll @ SY908 @ SV104 @ SV150 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[433]) ).

thf(482,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ~ ! [SY984: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                            | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
                      | ~ ( midp @ SV188 @ SV57 @ SV151 ) )
                | ( midp @ SY984 @ SV9 @ SV105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(483,plain,
    ! [SV106: $i,SV58: $i,SV10: $i] :
      ( ( ( para @ SV10 @ SV58 @ SV10 @ SV106 )
        = $false )
      | ( ( coll @ SV10 @ SV58 @ SV106 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[435]) ).

thf(484,plain,
    ! [SV152: $i,SV107: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ! [SY985: $i,SY986: $i] :
            ~ ! [SY987: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                                    | ~ ( midp @ SY985 @ SV107 @ SV152 ) )
                              | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
                        | ~ ( coll @ SV152 @ SV11 @ SV59 ) )
                  | ( midp @ SY987 @ SV11 @ SY986 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(485,plain,
    ! [SV108: $i,SV60: $i,SV12: $i,SV153: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV153 @ SV12 @ SV60 @ SV108 )
                | ~ ( coll @ SV153 @ SV12 @ SV108 ) ) )
        = $true )
      | ( ( perp @ SV12 @ SV60 @ SV60 @ SV108 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[437]) ).

thf(486,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV154 @ SV13 @ SV61 )
                    | ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) )
              | ~ ( coll @ SV190 @ SV13 @ SV109 ) )
        | ( midp @ SV190 @ SV13 @ SV109 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[438]) ).

thf(487,plain,
    ! [SV110: $i,SV62: $i,SV14: $i] :
      ( ( ( ~ ( ~ ( cong @ SV14 @ SV62 @ SV14 @ SV110 )
              | ~ ( coll @ SV14 @ SV62 @ SV110 ) ) )
        = $false )
      | ( ( midp @ SV14 @ SV62 @ SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(488,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV191 @ SV15 @ SV63 )
                    | ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) )
              | ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
        | ( midp @ SV191 @ SV111 @ SV155 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[440]) ).

thf(489,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ! [SY917: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
                    | ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) )
              | ~ ( ~ ( coll @ SY917 @ SV16 @ SV64 )
                  | ~ ( coll @ SY917 @ SV112 @ SV156 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(490,plain,
    ! [SV113: $i,SV65: $i,SV17: $i,SV157: $i] :
      ( ( ! [SY918: $i] :
            ~ ( ~ ( circle @ SV157 @ SV17 @ SV65 @ SV113 )
              | ( perp @ SY918 @ SV17 @ SV17 @ SV157 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(491,plain,
    ! [SV158: $i,SV114: $i,SV66: $i,SV18: $i,SV192: $i] :
      ( ( ! [SY988: $i] :
            ( ~ ~ ( ~ ( midp @ SV192 @ SV18 @ SV66 )
                  | ~ ( midp @ SY988 @ SV114 @ SV158 ) )
            | ( eqratio @ SV192 @ SV18 @ SV18 @ SV66 @ SY988 @ SV114 @ SV114 @ SV158 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(492,plain,
    ! [SV193: $i,SV159: $i,SV115: $i,SV67: $i,SV19: $i] :
      ( ( ! [SY989: $i] :
            ( ~ ( para @ SV19 @ SV67 @ SV115 @ SV159 )
            | ( eqangle @ SV19 @ SV67 @ SV193 @ SY989 @ SV115 @ SV159 @ SV193 @ SY989 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(493,plain,
    ! [SV160: $i,SV116: $i,SV68: $i,SV20: $i,SV194: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV194 @ SV20 @ SV68 )
              | ~ ( midp @ SV194 @ SV116 @ SV160 ) )
        | ( para @ SV20 @ SV116 @ SV68 @ SV160 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(494,plain,
    ! [SV195: $i,SV161: $i,SV117: $i,SV69: $i,SV21: $i] :
      ( ( ! [SY990: $i,SY991: $i,SY992: $i] :
            ( ~ ( eqangle @ SV21 @ SV69 @ SV117 @ SV161 @ SV195 @ SY990 @ SY991 @ SY992 )
            | ( eqangle @ SV69 @ SV21 @ SV117 @ SV161 @ SV195 @ SY990 @ SY991 @ SY992 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(495,plain,
    ! [SV118: $i,SV70: $i,SV22: $i] :
      ( ( ( coll @ SV22 @ SV70 @ SV118 )
        = $false )
      | ( ( coll @ SV22 @ SV118 @ SV70 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(496,plain,
    ! [SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ! [SY993: $i,SY994: $i,SY995: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SY993 @ SY994 @ SY995 )
                  | ~ ( para @ SV196 @ SY993 @ SY994 @ SY995 ) )
            | ( para @ SV23 @ SV71 @ SV119 @ SV162 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[448]) ).

thf(497,plain,
    ! [SV120: $i,SV72: $i,SV24: $i] :
      ( ( ( coll @ SV24 @ SV72 @ SV120 )
        = $false )
      | ( ( coll @ SV72 @ SV24 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[449]) ).

thf(498,plain,
    ! [SV163: $i,SV121: $i,SV197: $i,SV73: $i,SV25: $i] :
      ( ( ! [SY996: $i] :
            ( ~ ( eqangle @ SV25 @ SV73 @ SV197 @ SY996 @ SV121 @ SV163 @ SV197 @ SY996 )
            | ( para @ SV25 @ SV73 @ SV121 @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(499,plain,
    ! [SV198: $i,SV164: $i,SV74: $i,SV26: $i] :
      ( ( ! [SY997: $i,SY998: $i] :
            ~ ! [SY999: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY998 @ SV26 @ SV74 )
                                    | ~ ( para @ SV26 @ SV164 @ SY997 @ SY998 ) )
                              | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
                        | ~ ( coll @ SV164 @ SV198 @ SY997 ) )
                  | ~ ( ~ ( coll @ SY999 @ SV26 @ SV198 )
                      | ~ ( coll @ SY999 @ SY998 @ SY997 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(500,plain,
    ! [SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY1000: $i,SY1001: $i,SY1002: $i,SY1003: $i,SY1004: $i,SY1005: $i,SY1006: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SY1000 @ SY1001 @ SY1002 )
                  | ~ ( eqangle @ SV199 @ SY1000 @ SY1001 @ SY1002 @ SY1003 @ SY1004 @ SY1005 @ SY1006 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SY1003 @ SY1004 @ SY1005 @ SY1006 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(501,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ~ ! [SY1007: $i] :
              ~ ( ~ ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
                      | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
                | ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SY1007 @ SV76 @ SY1007 )
                    | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ SY1007 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(502,plain,
    ! [SV201: $i,SV125: $i,SV77: $i,SV29: $i,SV167: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV167 @ SV29 @ SV77 @ SV125 )
              | ~ ( eqangle @ SV29 @ SV201 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 ) )
        | ( perp @ SV167 @ SV29 @ SV29 @ SV201 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[454]) ).

thf(503,plain,
    ! [SV168: $i,SV78: $i,SV30: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SV168 @ SV30 @ SV168 @ SV78 )
                | ~ ~ ( coll @ SV126 @ SV168 @ SV30 ) ) )
        = $true )
      | ( ( cyclic @ SV30 @ SV78 @ SV126 @ SV168 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[455]) ).

thf(504,plain,
    ! [SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ! [SY1008: $i,SY1009: $i,SY1010: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SY1008 @ SY1009 @ SY1010 )
                  | ~ ( perp @ SV202 @ SY1008 @ SY1009 @ SY1010 ) )
            | ( perp @ SV31 @ SV79 @ SV127 @ SV169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[456]) ).

thf(505,plain,
    ! [SV203: $i,SV170: $i,SV128: $i,SV80: $i,SV32: $i] :
      ( ( ! [SY1011: $i] :
            ( ~ ( simtri @ SV32 @ SV80 @ SV128 @ SV170 @ SV203 @ SY1011 )
            | ( eqangle @ SV32 @ SV80 @ SV80 @ SV128 @ SV170 @ SV203 @ SV203 @ SY1011 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[457]) ).

thf(506,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ! [SY955: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
                    | ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) )
              | ~ ( ~ ( coll @ SV81 @ SV33 @ SY955 )
                  | ~ ( coll @ SY955 @ SV129 @ SV171 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[458]) ).

thf(507,plain,
    ! [SV82: $i,SV34: $i,SV130: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV130 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SV130 @ SV82 )
              | ~ ~ ( coll @ SV130 @ SV34 @ SV82 ) ) )
        = $false )
      | ( ( cong @ SV130 @ SV34 @ SV130 @ SV82 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(508,plain,
    ! [SV172: $i,SV131: $i,SV83: $i,SV35: $i] :
      ( ( ( ~ ( cyclic @ SV35 @ SV83 @ SV131 @ SV172 ) )
        = $true )
      | ( ( eqangle @ SV131 @ SV35 @ SV131 @ SV83 @ SV172 @ SV35 @ SV172 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[460]) ).

thf(509,plain,
    ! [SV173: $i,SV132: $i,SV84: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ SV36 @ SV84 @ SV132 )
                | ~ ( coll @ SV36 @ SV84 @ SV173 ) ) )
        = $true )
      | ( ( coll @ SV132 @ SV173 @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[461]) ).

thf(510,plain,
    ! [SV204: $i,SV174: $i,SV133: $i,SV85: $i,SV37: $i] :
      ( ( ! [SY1012: $i,SY1013: $i,SY1014: $i] :
            ( ~ ( eqangle @ SV37 @ SV85 @ SV133 @ SV174 @ SV204 @ SY1012 @ SY1013 @ SY1014 )
            | ( eqangle @ SV204 @ SY1012 @ SY1013 @ SY1014 @ SV37 @ SV85 @ SV133 @ SV174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[462]) ).

thf(511,plain,
    ! [SV175: $i,SV134: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ! [SY1015: $i] :
            ~ ! [SY1016: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SV205 @ SV38 @ SV86 )
                        | ~ ( midp @ SY1015 @ SV134 @ SV175 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY1016 @ SV38 @ SV175 )
                            | ~ ( para @ SY1016 @ SV205 @ SV86 @ SV175 ) )
                      | ~ ( para @ SY1016 @ SY1015 @ SV38 @ SV134 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(512,plain,
    ! [SV206: $i,SV135: $i,SV87: $i,SV39: $i,SV176: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV176 @ SV39 @ SV87 @ SV135 )
              | ~ ( midp @ SV206 @ SV87 @ SV135 ) )
        | ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SV176 @ SV87 @ SV176 @ SV206 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[464]) ).

thf(513,plain,
    ! [SV136: $i,SV88: $i,SV40: $i] :
      ( ( ( midp @ SV40 @ SV88 @ SV136 )
        = $false )
      | ( ( cong @ SV40 @ SV88 @ SV40 @ SV136 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(514,plain,
    ! [SV137: $i,SV89: $i,SV41: $i] :
      ( ( ( midp @ SV41 @ SV89 @ SV137 )
        = $false )
      | ( ( coll @ SV41 @ SV89 @ SV137 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[466]) ).

thf(515,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ! [SY964: $i] :
            ~ ~ ! [SY965: $i] :
                  ~ ( ~ ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
                          | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY964 @ SV138 @ SV90 )
                                    | ~ ( perp @ SV42 @ SY964 @ SV138 @ SV90 ) )
                              | ~ ( coll @ SY965 @ SV138 @ SV42 ) )
                        | ~ ( perp @ SV90 @ SY965 @ SV138 @ SV42 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(516,plain,
    ! [SV207: $i,SV178: $i,SV139: $i,SV91: $i,SV43: $i] :
      ( ( ! [SY1017: $i,SY1018: $i,SY1019: $i] :
            ( ~ ( eqangle @ SV43 @ SV91 @ SV139 @ SV178 @ SV207 @ SY1017 @ SY1018 @ SY1019 )
            | ( eqangle @ SV139 @ SV178 @ SV43 @ SV91 @ SY1018 @ SY1019 @ SV207 @ SY1017 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(517,plain,
    ! [SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ! [SY1020: $i] :
            ~ ! [SY1021: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                                    | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                              | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
                        | ~ ( coll @ SY1020 @ SV44 @ SV92 ) )
                  | ~ ( ~ ( coll @ SV208 @ SY1020 @ SY1021 )
                      | ~ ( coll @ SY1021 @ SV140 @ SV179 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(518,plain,
    ! [SV141: $i,SV209: $i,SV93: $i,SV45: $i,SV180: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV180 @ SV45 @ SV93 )
              | ~ ( midp @ SV209 @ SV45 @ SV141 ) )
        | ( para @ SV180 @ SV209 @ SV93 @ SV141 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(519,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ~ ! [SY1022: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
                      | ~ ( coll @ SV94 @ SV181 @ SV210 ) )
                | ~ ( ~ ( coll @ SY1022 @ SV181 @ SV210 )
                    | ~ ( perp @ SY1022 @ SV46 @ SV181 @ SV210 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(520,plain,
    ! [SV182: $i,SV95: $i,SV47: $i,SV143: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV143 @ SV47 @ SV143 @ SV95 @ SV182 @ SV47 @ SV182 @ SV95 )
                | ~ ( coll @ SV143 @ SV182 @ SV95 ) ) )
        = $true )
      | ( ( cyclic @ SV47 @ SV95 @ SV143 @ SV182 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[472]) ).

thf(521,plain,
    ! [SV211: $i,SV183: $i,SV144: $i,SV96: $i,SV48: $i] :
      ( ( ! [SY1023: $i,SY1024: $i,SY1025: $i] :
            ( ~ ( eqangle @ SV48 @ SV96 @ SV144 @ SV183 @ SV211 @ SY1023 @ SY1024 @ SY1025 )
            | ( eqangle @ SV48 @ SV96 @ SV211 @ SY1023 @ SV144 @ SV183 @ SY1024 @ SY1025 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[473]) ).

thf(522,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
                    | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) )
              | ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        | ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[475]) ).

thf(523,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ~ ! [SY1026: $i] :
              ~ ~ ! [SY1027: $i] :
                    ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                                        | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                                  | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
                            | ~ ( ( SV185 != SV213 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1026 @ SV3 @ SV99 )
                                      | ~ ( cong @ SY1026 @ SV213 @ SV213 @ SV3 ) )
                                | ~ ( coll @ SY1027 @ SV51 @ SV146 ) )
                          | ~ ( cong @ SY1027 @ SV213 @ SV213 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[476]) ).

thf(524,plain,
    ! [SV101: $i,SV53: $i,SV5: $i,SV147: $i] :
      ( ( ( ~ ( ~ ( cong @ SV147 @ SV5 @ SV147 @ SV53 )
              | ~ ( cong @ SV147 @ SV5 @ SV147 @ SV101 ) ) )
        = $false )
      | ( ( circle @ SV147 @ SV5 @ SV53 @ SV101 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(525,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
                      | ~ ( coll @ SV186 @ SV54 @ SV102 ) )
                | ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) ) )
        = $true )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[479]) ).

thf(526,plain,
    ! [SV187: $i,SV103: $i,SV55: $i,SV7: $i,SV149: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV149 @ SV7 @ SV55 @ SV103 )
                | ~ ( perp @ SV149 @ SV7 @ SV7 @ SV187 ) ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV187 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[480]) ).

thf(527,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
                  | ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) )
            | ~ ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
                | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[481]) ).

thf(528,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ! [SY984: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                          | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
                    | ~ ( midp @ SV188 @ SV57 @ SV151 ) )
              | ( midp @ SY984 @ SV9 @ SV105 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(529,plain,
    ! [SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ! [SY1028: $i] :
            ~ ! [SY1029: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                                    | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                              | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
                        | ~ ( coll @ SV152 @ SV11 @ SV59 ) )
                  | ( midp @ SY1029 @ SV11 @ SY1028 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[484]) ).

thf(530,plain,
    ! [SV108: $i,SV60: $i,SV12: $i,SV153: $i] :
      ( ( ( ~ ( ~ ( circle @ SV153 @ SV12 @ SV60 @ SV108 )
              | ~ ( coll @ SV153 @ SV12 @ SV108 ) ) )
        = $false )
      | ( ( perp @ SV12 @ SV60 @ SV60 @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(531,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV154 @ SV13 @ SV61 )
                      | ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) )
                | ~ ( coll @ SV190 @ SV13 @ SV109 ) ) )
        = $true )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(532,plain,
    ! [SV110: $i,SV62: $i,SV14: $i] :
      ( ( ( ~ ( cong @ SV14 @ SV62 @ SV14 @ SV110 )
          | ~ ( coll @ SV14 @ SV62 @ SV110 ) )
        = $true )
      | ( ( midp @ SV14 @ SV62 @ SV110 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[487]) ).

thf(533,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV191 @ SV15 @ SV63 )
                      | ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) )
                | ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) ) )
        = $true )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[488]) ).

thf(534,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
                  | ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) )
            | ~ ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
                | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[489]) ).

thf(535,plain,
    ! [SV113: $i,SV65: $i,SV17: $i,SV157: $i] :
      ( ( ~ ( ~ ( circle @ SV157 @ SV17 @ SV65 @ SV113 )
            | ( perp @ ( sK19_SY918 @ SV113 @ SV65 @ SV17 @ SV157 ) @ SV17 @ SV17 @ SV157 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[490]) ).

thf(536,plain,
    ! [SV158: $i,SV114: $i,SV215: $i,SV66: $i,SV18: $i,SV192: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV192 @ SV18 @ SV66 )
              | ~ ( midp @ SV215 @ SV114 @ SV158 ) )
        | ( eqratio @ SV192 @ SV18 @ SV18 @ SV66 @ SV215 @ SV114 @ SV114 @ SV158 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[491]) ).

thf(537,plain,
    ! [SV216: $i,SV193: $i,SV159: $i,SV115: $i,SV67: $i,SV19: $i] :
      ( ( ~ ( para @ SV19 @ SV67 @ SV115 @ SV159 )
        | ( eqangle @ SV19 @ SV67 @ SV193 @ SV216 @ SV115 @ SV159 @ SV193 @ SV216 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(538,plain,
    ! [SV160: $i,SV116: $i,SV68: $i,SV20: $i,SV194: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV194 @ SV20 @ SV68 )
                | ~ ( midp @ SV194 @ SV116 @ SV160 ) ) )
        = $true )
      | ( ( para @ SV20 @ SV116 @ SV68 @ SV160 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[493]) ).

thf(539,plain,
    ! [SV217: $i,SV195: $i,SV161: $i,SV117: $i,SV69: $i,SV21: $i] :
      ( ( ! [SY1030: $i,SY1031: $i] :
            ( ~ ( eqangle @ SV21 @ SV69 @ SV117 @ SV161 @ SV195 @ SV217 @ SY1030 @ SY1031 )
            | ( eqangle @ SV69 @ SV21 @ SV117 @ SV161 @ SV195 @ SV217 @ SY1030 @ SY1031 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[494]) ).

thf(540,plain,
    ! [SV218: $i,SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ! [SY1032: $i,SY1033: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SY1032 @ SY1033 )
                  | ~ ( para @ SV196 @ SV218 @ SY1032 @ SY1033 ) )
            | ( para @ SV23 @ SV71 @ SV119 @ SV162 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[496]) ).

thf(541,plain,
    ! [SV163: $i,SV121: $i,SV219: $i,SV197: $i,SV73: $i,SV25: $i] :
      ( ( ~ ( eqangle @ SV25 @ SV73 @ SV197 @ SV219 @ SV121 @ SV163 @ SV197 @ SV219 )
        | ( para @ SV25 @ SV73 @ SV121 @ SV163 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[498]) ).

thf(542,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i] :
      ( ( ! [SY1034: $i] :
            ~ ! [SY1035: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1034 @ SV26 @ SV74 )
                                    | ~ ( para @ SV26 @ SV164 @ SV220 @ SY1034 ) )
                              | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
                        | ~ ( coll @ SV164 @ SV198 @ SV220 ) )
                  | ~ ( ~ ( coll @ SY1035 @ SV26 @ SV198 )
                      | ~ ( coll @ SY1035 @ SY1034 @ SV220 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(543,plain,
    ! [SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY1036: $i,SY1037: $i,SY1038: $i,SY1039: $i,SY1040: $i,SY1041: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SY1036 @ SY1037 )
                  | ~ ( eqangle @ SV199 @ SV221 @ SY1036 @ SY1037 @ SY1038 @ SY1039 @ SY1040 @ SY1041 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SY1038 @ SY1039 @ SY1040 @ SY1041 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(544,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ! [SY1007: $i] :
            ~ ( ~ ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
                    | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
              | ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SY1007 @ SV76 @ SY1007 )
                  | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ SY1007 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(545,plain,
    ! [SV201: $i,SV125: $i,SV77: $i,SV29: $i,SV167: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV167 @ SV29 @ SV77 @ SV125 )
                | ~ ( eqangle @ SV29 @ SV201 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 ) ) )
        = $true )
      | ( ( perp @ SV167 @ SV29 @ SV29 @ SV201 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[502]) ).

thf(546,plain,
    ! [SV168: $i,SV78: $i,SV30: $i,SV126: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SV168 @ SV30 @ SV168 @ SV78 )
              | ~ ~ ( coll @ SV126 @ SV168 @ SV30 ) ) )
        = $false )
      | ( ( cyclic @ SV30 @ SV78 @ SV126 @ SV168 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[503]) ).

thf(547,plain,
    ! [SV222: $i,SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ! [SY1042: $i,SY1043: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SY1042 @ SY1043 )
                  | ~ ( perp @ SV202 @ SV222 @ SY1042 @ SY1043 ) )
            | ( perp @ SV31 @ SV79 @ SV127 @ SV169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(548,plain,
    ! [SV223: $i,SV203: $i,SV170: $i,SV128: $i,SV80: $i,SV32: $i] :
      ( ( ~ ( simtri @ SV32 @ SV80 @ SV128 @ SV170 @ SV203 @ SV223 )
        | ( eqangle @ SV32 @ SV80 @ SV80 @ SV128 @ SV170 @ SV203 @ SV203 @ SV223 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[505]) ).

thf(549,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
                  | ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) )
            | ~ ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
                | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[506]) ).

thf(550,plain,
    ! [SV82: $i,SV34: $i,SV130: $i] :
      ( ( ( ~ ( eqangle @ SV130 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SV130 @ SV82 )
          | ~ ~ ( coll @ SV130 @ SV34 @ SV82 ) )
        = $true )
      | ( ( cong @ SV130 @ SV34 @ SV130 @ SV82 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[507]) ).

thf(551,plain,
    ! [SV172: $i,SV131: $i,SV83: $i,SV35: $i] :
      ( ( ( cyclic @ SV35 @ SV83 @ SV131 @ SV172 )
        = $false )
      | ( ( eqangle @ SV131 @ SV35 @ SV131 @ SV83 @ SV172 @ SV35 @ SV172 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(552,plain,
    ! [SV173: $i,SV132: $i,SV84: $i,SV36: $i] :
      ( ( ( ~ ( ~ ( coll @ SV36 @ SV84 @ SV132 )
              | ~ ( coll @ SV36 @ SV84 @ SV173 ) ) )
        = $false )
      | ( ( coll @ SV132 @ SV173 @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(553,plain,
    ! [SV224: $i,SV204: $i,SV174: $i,SV133: $i,SV85: $i,SV37: $i] :
      ( ( ! [SY1044: $i,SY1045: $i] :
            ( ~ ( eqangle @ SV37 @ SV85 @ SV133 @ SV174 @ SV204 @ SV224 @ SY1044 @ SY1045 )
            | ( eqangle @ SV204 @ SV224 @ SY1044 @ SY1045 @ SV37 @ SV85 @ SV133 @ SV174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[510]) ).

thf(554,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ~ ! [SY1046: $i] :
              ~ ( ~ ~ ( ~ ( midp @ SV205 @ SV38 @ SV86 )
                      | ~ ( midp @ SV225 @ SV134 @ SV175 ) )
                | ~ ( ~ ~ ( ~ ( midp @ SY1046 @ SV38 @ SV175 )
                          | ~ ( para @ SY1046 @ SV205 @ SV86 @ SV175 ) )
                    | ~ ( para @ SY1046 @ SV225 @ SV38 @ SV134 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[511]) ).

thf(555,plain,
    ! [SV206: $i,SV135: $i,SV87: $i,SV39: $i,SV176: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV176 @ SV39 @ SV87 @ SV135 )
                | ~ ( midp @ SV206 @ SV87 @ SV135 ) ) )
        = $true )
      | ( ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SV176 @ SV87 @ SV176 @ SV206 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[512]) ).

thf(556,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ~ ~ ! [SY1047: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
                        | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                                  | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                            | ~ ( coll @ SY1047 @ SV138 @ SV42 ) )
                      | ~ ( perp @ SV90 @ SY1047 @ SV138 @ SV42 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[515]) ).

thf(557,plain,
    ! [SV226: $i,SV207: $i,SV178: $i,SV139: $i,SV91: $i,SV43: $i] :
      ( ( ! [SY1048: $i,SY1049: $i] :
            ( ~ ( eqangle @ SV43 @ SV91 @ SV139 @ SV178 @ SV207 @ SV226 @ SY1048 @ SY1049 )
            | ( eqangle @ SV139 @ SV178 @ SV43 @ SV91 @ SY1048 @ SY1049 @ SV207 @ SV226 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[516]) ).

thf(558,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ~ ! [SY1050: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                                  | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                            | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
                      | ~ ( coll @ SV227 @ SV44 @ SV92 ) )
                | ~ ( ~ ( coll @ SV208 @ SV227 @ SY1050 )
                    | ~ ( coll @ SY1050 @ SV140 @ SV179 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[517]) ).

thf(559,plain,
    ! [SV141: $i,SV209: $i,SV93: $i,SV45: $i,SV180: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV180 @ SV45 @ SV93 )
                | ~ ( midp @ SV209 @ SV45 @ SV141 ) ) )
        = $true )
      | ( ( para @ SV180 @ SV209 @ SV93 @ SV141 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[518]) ).

thf(560,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ! [SY1022: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
                    | ~ ( coll @ SV94 @ SV181 @ SV210 ) )
              | ~ ( ~ ( coll @ SY1022 @ SV181 @ SV210 )
                  | ~ ( perp @ SY1022 @ SV46 @ SV181 @ SV210 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(561,plain,
    ! [SV182: $i,SV95: $i,SV47: $i,SV143: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV143 @ SV47 @ SV143 @ SV95 @ SV182 @ SV47 @ SV182 @ SV95 )
              | ~ ( coll @ SV143 @ SV182 @ SV95 ) ) )
        = $false )
      | ( ( cyclic @ SV47 @ SV95 @ SV143 @ SV182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(562,plain,
    ! [SV228: $i,SV211: $i,SV183: $i,SV144: $i,SV96: $i,SV48: $i] :
      ( ( ! [SY1051: $i,SY1052: $i] :
            ( ~ ( eqangle @ SV48 @ SV96 @ SV144 @ SV183 @ SV211 @ SV228 @ SY1051 @ SY1052 )
            | ( eqangle @ SV48 @ SV96 @ SV211 @ SV228 @ SV144 @ SV183 @ SY1051 @ SY1052 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[521]) ).

thf(563,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
                      | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) )
                | ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) ) )
        = $true )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[522]) ).

thf(564,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ! [SY1026: $i] :
            ~ ~ ! [SY1027: $i] :
                  ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                                      | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                                | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
                          | ~ ( ( SV185 != SV213 ) ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1026 @ SV3 @ SV99 )
                                    | ~ ( cong @ SY1026 @ SV213 @ SV213 @ SV3 ) )
                              | ~ ( coll @ SY1027 @ SV51 @ SV146 ) )
                        | ~ ( cong @ SY1027 @ SV213 @ SV213 @ SV3 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(565,plain,
    ! [SV101: $i,SV53: $i,SV5: $i,SV147: $i] :
      ( ( ( ~ ( cong @ SV147 @ SV5 @ SV147 @ SV53 )
          | ~ ( cong @ SV147 @ SV5 @ SV147 @ SV101 ) )
        = $true )
      | ( ( circle @ SV147 @ SV5 @ SV53 @ SV101 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[524]) ).

thf(566,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
                    | ~ ( coll @ SV186 @ SV54 @ SV102 ) )
              | ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) ) )
        = $false )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(567,plain,
    ! [SV187: $i,SV103: $i,SV55: $i,SV7: $i,SV149: $i] :
      ( ( ( ~ ( ~ ( circle @ SV149 @ SV7 @ SV55 @ SV103 )
              | ~ ( perp @ SV149 @ SV7 @ SV7 @ SV187 ) ) )
        = $false )
      | ( ( eqangle @ SV7 @ SV187 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(568,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
              | ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) )
        | ~ ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
            | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[527]) ).

thf(569,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                        | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
                  | ~ ( midp @ SV188 @ SV57 @ SV151 ) )
            | ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[528]) ).

thf(570,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ~ ! [SY1053: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                                  | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                            | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
                      | ~ ( coll @ SV152 @ SV11 @ SV59 ) )
                | ( midp @ SY1053 @ SV11 @ SV229 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[529]) ).

thf(571,plain,
    ! [SV108: $i,SV60: $i,SV12: $i,SV153: $i] :
      ( ( ( ~ ( circle @ SV153 @ SV12 @ SV60 @ SV108 )
          | ~ ( coll @ SV153 @ SV12 @ SV108 ) )
        = $true )
      | ( ( perp @ SV12 @ SV60 @ SV60 @ SV108 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[530]) ).

thf(572,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV154 @ SV13 @ SV61 )
                    | ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) )
              | ~ ( coll @ SV190 @ SV13 @ SV109 ) ) )
        = $false )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[531]) ).

thf(573,plain,
    ! [SV110: $i,SV62: $i,SV14: $i] :
      ( ( ( ~ ( cong @ SV14 @ SV62 @ SV14 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV14 @ SV62 @ SV110 ) )
        = $true )
      | ( ( midp @ SV14 @ SV62 @ SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[532]) ).

thf(574,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV191 @ SV15 @ SV63 )
                    | ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) )
              | ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) ) )
        = $false )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[533]) ).

thf(575,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
              | ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) )
        | ~ ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
            | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[534]) ).

thf(576,plain,
    ! [SV113: $i,SV65: $i,SV17: $i,SV157: $i] :
      ( ( ~ ( circle @ SV157 @ SV17 @ SV65 @ SV113 )
        | ( perp @ ( sK19_SY918 @ SV113 @ SV65 @ SV17 @ SV157 ) @ SV17 @ SV17 @ SV157 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[535]) ).

thf(577,plain,
    ! [SV158: $i,SV114: $i,SV215: $i,SV66: $i,SV18: $i,SV192: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV192 @ SV18 @ SV66 )
                | ~ ( midp @ SV215 @ SV114 @ SV158 ) ) )
        = $true )
      | ( ( eqratio @ SV192 @ SV18 @ SV18 @ SV66 @ SV215 @ SV114 @ SV114 @ SV158 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[536]) ).

thf(578,plain,
    ! [SV216: $i,SV193: $i,SV159: $i,SV115: $i,SV67: $i,SV19: $i] :
      ( ( ( ~ ( para @ SV19 @ SV67 @ SV115 @ SV159 ) )
        = $true )
      | ( ( eqangle @ SV19 @ SV67 @ SV193 @ SV216 @ SV115 @ SV159 @ SV193 @ SV216 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[537]) ).

thf(579,plain,
    ! [SV160: $i,SV116: $i,SV68: $i,SV20: $i,SV194: $i] :
      ( ( ( ~ ( ~ ( midp @ SV194 @ SV20 @ SV68 )
              | ~ ( midp @ SV194 @ SV116 @ SV160 ) ) )
        = $false )
      | ( ( para @ SV20 @ SV116 @ SV68 @ SV160 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(580,plain,
    ! [SV230: $i,SV217: $i,SV195: $i,SV161: $i,SV117: $i,SV69: $i,SV21: $i] :
      ( ( ! [SY1054: $i] :
            ( ~ ( eqangle @ SV21 @ SV69 @ SV117 @ SV161 @ SV195 @ SV217 @ SV230 @ SY1054 )
            | ( eqangle @ SV69 @ SV21 @ SV117 @ SV161 @ SV195 @ SV217 @ SV230 @ SY1054 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(581,plain,
    ! [SV231: $i,SV218: $i,SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ! [SY1055: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SV231 @ SY1055 )
                  | ~ ( para @ SV196 @ SV218 @ SV231 @ SY1055 ) )
            | ( para @ SV23 @ SV71 @ SV119 @ SV162 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[540]) ).

thf(582,plain,
    ! [SV163: $i,SV121: $i,SV219: $i,SV197: $i,SV73: $i,SV25: $i] :
      ( ( ( ~ ( eqangle @ SV25 @ SV73 @ SV197 @ SV219 @ SV121 @ SV163 @ SV197 @ SV219 ) )
        = $true )
      | ( ( para @ SV25 @ SV73 @ SV121 @ SV163 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[541]) ).

thf(583,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ~ ! [SY1056: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                                  | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
                            | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
                      | ~ ( coll @ SV164 @ SV198 @ SV220 ) )
                | ~ ( ~ ( coll @ SY1056 @ SV26 @ SV198 )
                    | ~ ( coll @ SY1056 @ SV232 @ SV220 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[542]) ).

thf(584,plain,
    ! [SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY1057: $i,SY1058: $i,SY1059: $i,SY1060: $i,SY1061: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SY1057 )
                  | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SY1057 @ SY1058 @ SY1059 @ SY1060 @ SY1061 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SY1058 @ SY1059 @ SY1060 @ SY1061 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(585,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
                  | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
            | ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
                | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[544]) ).

thf(586,plain,
    ! [SV201: $i,SV125: $i,SV77: $i,SV29: $i,SV167: $i] :
      ( ( ( ~ ( ~ ( circle @ SV167 @ SV29 @ SV77 @ SV125 )
              | ~ ( eqangle @ SV29 @ SV201 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 ) ) )
        = $false )
      | ( ( perp @ SV167 @ SV29 @ SV29 @ SV201 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(587,plain,
    ! [SV168: $i,SV78: $i,SV30: $i,SV126: $i] :
      ( ( ( ~ ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SV168 @ SV30 @ SV168 @ SV78 )
          | ~ ~ ( coll @ SV126 @ SV168 @ SV30 ) )
        = $true )
      | ( ( cyclic @ SV30 @ SV78 @ SV126 @ SV168 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[546]) ).

thf(588,plain,
    ! [SV234: $i,SV222: $i,SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ! [SY1062: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SV234 @ SY1062 )
                  | ~ ( perp @ SV202 @ SV222 @ SV234 @ SY1062 ) )
            | ( perp @ SV31 @ SV79 @ SV127 @ SV169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[547]) ).

thf(589,plain,
    ! [SV223: $i,SV203: $i,SV170: $i,SV128: $i,SV80: $i,SV32: $i] :
      ( ( ( ~ ( simtri @ SV32 @ SV80 @ SV128 @ SV170 @ SV203 @ SV223 ) )
        = $true )
      | ( ( eqangle @ SV32 @ SV80 @ SV80 @ SV128 @ SV170 @ SV203 @ SV203 @ SV223 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[548]) ).

thf(590,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
              | ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) )
        | ~ ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
            | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[549]) ).

thf(591,plain,
    ! [SV82: $i,SV34: $i,SV130: $i] :
      ( ( ( ~ ( eqangle @ SV130 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SV130 @ SV82 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV130 @ SV34 @ SV82 ) )
        = $true )
      | ( ( cong @ SV130 @ SV34 @ SV130 @ SV82 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[550]) ).

thf(592,plain,
    ! [SV173: $i,SV132: $i,SV84: $i,SV36: $i] :
      ( ( ( ~ ( coll @ SV36 @ SV84 @ SV132 )
          | ~ ( coll @ SV36 @ SV84 @ SV173 ) )
        = $true )
      | ( ( coll @ SV132 @ SV173 @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[552]) ).

thf(593,plain,
    ! [SV235: $i,SV224: $i,SV204: $i,SV174: $i,SV133: $i,SV85: $i,SV37: $i] :
      ( ( ! [SY1063: $i] :
            ( ~ ( eqangle @ SV37 @ SV85 @ SV133 @ SV174 @ SV204 @ SV224 @ SV235 @ SY1063 )
            | ( eqangle @ SV204 @ SV224 @ SV235 @ SY1063 @ SV37 @ SV85 @ SV133 @ SV174 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(594,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ! [SY1046: $i] :
            ~ ( ~ ~ ( ~ ( midp @ SV205 @ SV38 @ SV86 )
                    | ~ ( midp @ SV225 @ SV134 @ SV175 ) )
              | ~ ( ~ ~ ( ~ ( midp @ SY1046 @ SV38 @ SV175 )
                        | ~ ( para @ SY1046 @ SV205 @ SV86 @ SV175 ) )
                  | ~ ( para @ SY1046 @ SV225 @ SV38 @ SV134 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(595,plain,
    ! [SV206: $i,SV135: $i,SV87: $i,SV39: $i,SV176: $i] :
      ( ( ( ~ ( ~ ( circle @ SV176 @ SV39 @ SV87 @ SV135 )
              | ~ ( midp @ SV206 @ SV87 @ SV135 ) ) )
        = $false )
      | ( ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SV176 @ SV87 @ SV176 @ SV206 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[555]) ).

thf(596,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ~ ! [SY1047: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
                      | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                                | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                          | ~ ( coll @ SY1047 @ SV138 @ SV42 ) )
                    | ~ ( perp @ SV90 @ SY1047 @ SV138 @ SV42 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[556]) ).

thf(597,plain,
    ! [SV236: $i,SV226: $i,SV207: $i,SV178: $i,SV139: $i,SV91: $i,SV43: $i] :
      ( ( ! [SY1064: $i] :
            ( ~ ( eqangle @ SV43 @ SV91 @ SV139 @ SV178 @ SV207 @ SV226 @ SV236 @ SY1064 )
            | ( eqangle @ SV139 @ SV178 @ SV43 @ SV91 @ SV236 @ SY1064 @ SV207 @ SV226 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(598,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ! [SY1050: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                                | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                          | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
                    | ~ ( coll @ SV227 @ SV44 @ SV92 ) )
              | ~ ( ~ ( coll @ SV208 @ SV227 @ SY1050 )
                  | ~ ( coll @ SY1050 @ SV140 @ SV179 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[558]) ).

thf(599,plain,
    ! [SV141: $i,SV209: $i,SV93: $i,SV45: $i,SV180: $i] :
      ( ( ( ~ ( ~ ( midp @ SV180 @ SV45 @ SV93 )
              | ~ ( midp @ SV209 @ SV45 @ SV141 ) ) )
        = $false )
      | ( ( para @ SV180 @ SV209 @ SV93 @ SV141 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(600,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
                  | ~ ( coll @ SV94 @ SV181 @ SV210 ) )
            | ~ ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
                | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[560]) ).

thf(601,plain,
    ! [SV182: $i,SV95: $i,SV47: $i,SV143: $i] :
      ( ( ( ~ ( eqangle @ SV143 @ SV47 @ SV143 @ SV95 @ SV182 @ SV47 @ SV182 @ SV95 )
          | ~ ( coll @ SV143 @ SV182 @ SV95 ) )
        = $true )
      | ( ( cyclic @ SV47 @ SV95 @ SV143 @ SV182 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[561]) ).

thf(602,plain,
    ! [SV237: $i,SV228: $i,SV211: $i,SV183: $i,SV144: $i,SV96: $i,SV48: $i] :
      ( ( ! [SY1065: $i] :
            ( ~ ( eqangle @ SV48 @ SV96 @ SV144 @ SV183 @ SV211 @ SV228 @ SV237 @ SY1065 )
            | ( eqangle @ SV48 @ SV96 @ SV211 @ SV228 @ SV144 @ SV183 @ SV237 @ SY1065 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[562]) ).

thf(603,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
                    | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) )
              | ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) ) )
        = $false )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(604,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ~ ~ ! [SY1066: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                                    | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                              | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
                        | ~ ( ( SV185 != SV213 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                                  | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                            | ~ ( coll @ SY1066 @ SV51 @ SV146 ) )
                      | ~ ( cong @ SY1066 @ SV213 @ SV213 @ SV3 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[564]) ).

thf(605,plain,
    ! [SV101: $i,SV53: $i,SV5: $i,SV147: $i] :
      ( ( ( ~ ( cong @ SV147 @ SV5 @ SV147 @ SV53 ) )
        = $true )
      | ( ( ~ ( cong @ SV147 @ SV5 @ SV147 @ SV101 ) )
        = $true )
      | ( ( circle @ SV147 @ SV5 @ SV53 @ SV101 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[565]) ).

thf(606,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
                | ~ ( coll @ SV186 @ SV54 @ SV102 ) )
          | ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) )
        = $true )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(607,plain,
    ! [SV187: $i,SV103: $i,SV55: $i,SV7: $i,SV149: $i] :
      ( ( ( ~ ( circle @ SV149 @ SV7 @ SV55 @ SV103 )
          | ~ ( perp @ SV149 @ SV7 @ SV7 @ SV187 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV187 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[567]) ).

thf(608,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
                | ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
              | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[568]) ).

thf(609,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                    | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
              | ~ ( midp @ SV188 @ SV57 @ SV151 ) )
        | ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[569]) ).

thf(610,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ! [SY1053: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                                | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                          | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
                    | ~ ( coll @ SV152 @ SV11 @ SV59 ) )
              | ( midp @ SY1053 @ SV11 @ SV229 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(611,plain,
    ! [SV108: $i,SV60: $i,SV12: $i,SV153: $i] :
      ( ( ( ~ ( circle @ SV153 @ SV12 @ SV60 @ SV108 ) )
        = $true )
      | ( ( ~ ( coll @ SV153 @ SV12 @ SV108 ) )
        = $true )
      | ( ( perp @ SV12 @ SV60 @ SV60 @ SV108 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[571]) ).

thf(612,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV154 @ SV13 @ SV61 )
                | ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) )
          | ~ ( coll @ SV190 @ SV13 @ SV109 ) )
        = $true )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[572]) ).

thf(613,plain,
    ! [SV110: $i,SV62: $i,SV14: $i] :
      ( ( ( cong @ SV14 @ SV62 @ SV14 @ SV110 )
        = $false )
      | ( ( ~ ( coll @ SV14 @ SV62 @ SV110 ) )
        = $true )
      | ( ( midp @ SV14 @ SV62 @ SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(614,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV191 @ SV15 @ SV63 )
                | ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) )
          | ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
        = $true )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[574]) ).

thf(615,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
                | ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
              | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[575]) ).

thf(616,plain,
    ! [SV113: $i,SV65: $i,SV17: $i,SV157: $i] :
      ( ( ( ~ ( circle @ SV157 @ SV17 @ SV65 @ SV113 ) )
        = $true )
      | ( ( perp @ ( sK19_SY918 @ SV113 @ SV65 @ SV17 @ SV157 ) @ SV17 @ SV17 @ SV157 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[576]) ).

thf(617,plain,
    ! [SV158: $i,SV114: $i,SV215: $i,SV66: $i,SV18: $i,SV192: $i] :
      ( ( ( ~ ( ~ ( midp @ SV192 @ SV18 @ SV66 )
              | ~ ( midp @ SV215 @ SV114 @ SV158 ) ) )
        = $false )
      | ( ( eqratio @ SV192 @ SV18 @ SV18 @ SV66 @ SV215 @ SV114 @ SV114 @ SV158 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(618,plain,
    ! [SV216: $i,SV193: $i,SV159: $i,SV115: $i,SV67: $i,SV19: $i] :
      ( ( ( para @ SV19 @ SV67 @ SV115 @ SV159 )
        = $false )
      | ( ( eqangle @ SV19 @ SV67 @ SV193 @ SV216 @ SV115 @ SV159 @ SV193 @ SV216 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[578]) ).

thf(619,plain,
    ! [SV160: $i,SV116: $i,SV68: $i,SV20: $i,SV194: $i] :
      ( ( ( ~ ( midp @ SV194 @ SV20 @ SV68 )
          | ~ ( midp @ SV194 @ SV116 @ SV160 ) )
        = $true )
      | ( ( para @ SV20 @ SV116 @ SV68 @ SV160 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[579]) ).

thf(620,plain,
    ! [SV238: $i,SV230: $i,SV217: $i,SV195: $i,SV161: $i,SV117: $i,SV69: $i,SV21: $i] :
      ( ( ~ ( eqangle @ SV21 @ SV69 @ SV117 @ SV161 @ SV195 @ SV217 @ SV230 @ SV238 )
        | ( eqangle @ SV69 @ SV21 @ SV117 @ SV161 @ SV195 @ SV217 @ SV230 @ SV238 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[580]) ).

thf(621,plain,
    ! [SV239: $i,SV231: $i,SV218: $i,SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SV231 @ SV239 )
              | ~ ( para @ SV196 @ SV218 @ SV231 @ SV239 ) )
        | ( para @ SV23 @ SV71 @ SV119 @ SV162 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[581]) ).

thf(622,plain,
    ! [SV163: $i,SV121: $i,SV219: $i,SV197: $i,SV73: $i,SV25: $i] :
      ( ( ( eqangle @ SV25 @ SV73 @ SV197 @ SV219 @ SV121 @ SV163 @ SV197 @ SV219 )
        = $false )
      | ( ( para @ SV25 @ SV73 @ SV121 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(623,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ! [SY1056: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                                | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
                          | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
                    | ~ ( coll @ SV164 @ SV198 @ SV220 ) )
              | ~ ( ~ ( coll @ SY1056 @ SV26 @ SV198 )
                  | ~ ( coll @ SY1056 @ SV232 @ SV220 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[583]) ).

thf(624,plain,
    ! [SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY1067: $i,SY1068: $i,SY1069: $i,SY1070: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
                  | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SY1067 @ SY1068 @ SY1069 @ SY1070 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SY1067 @ SY1068 @ SY1069 @ SY1070 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[584]) ).

thf(625,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
              | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
        | ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
            | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[585]) ).

thf(626,plain,
    ! [SV201: $i,SV125: $i,SV77: $i,SV29: $i,SV167: $i] :
      ( ( ( ~ ( circle @ SV167 @ SV29 @ SV77 @ SV125 )
          | ~ ( eqangle @ SV29 @ SV201 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 ) )
        = $true )
      | ( ( perp @ SV167 @ SV29 @ SV29 @ SV201 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[586]) ).

thf(627,plain,
    ! [SV168: $i,SV78: $i,SV30: $i,SV126: $i] :
      ( ( ( ~ ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SV168 @ SV30 @ SV168 @ SV78 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV126 @ SV168 @ SV30 ) )
        = $true )
      | ( ( cyclic @ SV30 @ SV78 @ SV126 @ SV168 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[587]) ).

thf(628,plain,
    ! [SV241: $i,SV234: $i,SV222: $i,SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SV234 @ SV241 )
              | ~ ( perp @ SV202 @ SV222 @ SV234 @ SV241 ) )
        | ( perp @ SV31 @ SV79 @ SV127 @ SV169 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[588]) ).

thf(629,plain,
    ! [SV223: $i,SV203: $i,SV170: $i,SV128: $i,SV80: $i,SV32: $i] :
      ( ( ( simtri @ SV32 @ SV80 @ SV128 @ SV170 @ SV203 @ SV223 )
        = $false )
      | ( ( eqangle @ SV32 @ SV80 @ SV80 @ SV128 @ SV170 @ SV203 @ SV203 @ SV223 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(630,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
                | ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
              | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[590]) ).

thf(631,plain,
    ! [SV82: $i,SV34: $i,SV130: $i] :
      ( ( ( eqangle @ SV130 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SV130 @ SV82 )
        = $false )
      | ( ( ~ ~ ( coll @ SV130 @ SV34 @ SV82 ) )
        = $true )
      | ( ( cong @ SV130 @ SV34 @ SV130 @ SV82 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(632,plain,
    ! [SV173: $i,SV132: $i,SV84: $i,SV36: $i] :
      ( ( ( ~ ( coll @ SV36 @ SV84 @ SV132 ) )
        = $true )
      | ( ( ~ ( coll @ SV36 @ SV84 @ SV173 ) )
        = $true )
      | ( ( coll @ SV132 @ SV173 @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[592]) ).

thf(633,plain,
    ! [SV242: $i,SV235: $i,SV224: $i,SV204: $i,SV174: $i,SV133: $i,SV85: $i,SV37: $i] :
      ( ( ~ ( eqangle @ SV37 @ SV85 @ SV133 @ SV174 @ SV204 @ SV224 @ SV235 @ SV242 )
        | ( eqangle @ SV204 @ SV224 @ SV235 @ SV242 @ SV37 @ SV85 @ SV133 @ SV174 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[593]) ).

thf(634,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ~ ( ~ ~ ( ~ ( midp @ SV205 @ SV38 @ SV86 )
                  | ~ ( midp @ SV225 @ SV134 @ SV175 ) )
            | ~ ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                      | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
                | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[594]) ).

thf(635,plain,
    ! [SV206: $i,SV135: $i,SV87: $i,SV39: $i,SV176: $i] :
      ( ( ( ~ ( circle @ SV176 @ SV39 @ SV87 @ SV135 )
          | ~ ( midp @ SV206 @ SV87 @ SV135 ) )
        = $true )
      | ( ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SV176 @ SV87 @ SV176 @ SV206 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[595]) ).

thf(636,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ! [SY1047: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
                    | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                              | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                        | ~ ( coll @ SY1047 @ SV138 @ SV42 ) )
                  | ~ ( perp @ SV90 @ SY1047 @ SV138 @ SV42 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(637,plain,
    ! [SV243: $i,SV236: $i,SV226: $i,SV207: $i,SV178: $i,SV139: $i,SV91: $i,SV43: $i] :
      ( ( ~ ( eqangle @ SV43 @ SV91 @ SV139 @ SV178 @ SV207 @ SV226 @ SV236 @ SV243 )
        | ( eqangle @ SV139 @ SV178 @ SV43 @ SV91 @ SV236 @ SV243 @ SV207 @ SV226 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[597]) ).

thf(638,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                              | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                        | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
                  | ~ ( coll @ SV227 @ SV44 @ SV92 ) )
            | ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
                | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[598]) ).

thf(639,plain,
    ! [SV141: $i,SV209: $i,SV93: $i,SV45: $i,SV180: $i] :
      ( ( ( ~ ( midp @ SV180 @ SV45 @ SV93 )
          | ~ ( midp @ SV209 @ SV45 @ SV141 ) )
        = $true )
      | ( ( para @ SV180 @ SV209 @ SV93 @ SV141 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[599]) ).

thf(640,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
              | ~ ( coll @ SV94 @ SV181 @ SV210 ) )
        | ~ ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
            | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[600]) ).

thf(641,plain,
    ! [SV182: $i,SV95: $i,SV47: $i,SV143: $i] :
      ( ( ( ~ ( eqangle @ SV143 @ SV47 @ SV143 @ SV95 @ SV182 @ SV47 @ SV182 @ SV95 ) )
        = $true )
      | ( ( ~ ( coll @ SV143 @ SV182 @ SV95 ) )
        = $true )
      | ( ( cyclic @ SV47 @ SV95 @ SV143 @ SV182 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[601]) ).

thf(642,plain,
    ! [SV244: $i,SV237: $i,SV228: $i,SV211: $i,SV183: $i,SV144: $i,SV96: $i,SV48: $i] :
      ( ( ~ ( eqangle @ SV48 @ SV96 @ SV144 @ SV183 @ SV211 @ SV228 @ SV237 @ SV244 )
        | ( eqangle @ SV48 @ SV96 @ SV211 @ SV228 @ SV144 @ SV183 @ SV237 @ SV244 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[602]) ).

thf(643,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
                | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) )
          | ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        = $true )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[603]) ).

thf(644,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ~ ! [SY1066: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                                  | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                            | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
                      | ~ ( ( SV185 != SV213 ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                                | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                          | ~ ( coll @ SY1066 @ SV51 @ SV146 ) )
                    | ~ ( cong @ SY1066 @ SV213 @ SV213 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[604]) ).

thf(645,plain,
    ! [SV101: $i,SV53: $i,SV5: $i,SV147: $i] :
      ( ( ( cong @ SV147 @ SV5 @ SV147 @ SV53 )
        = $false )
      | ( ( ~ ( cong @ SV147 @ SV5 @ SV147 @ SV101 ) )
        = $true )
      | ( ( circle @ SV147 @ SV5 @ SV53 @ SV101 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(646,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
                | ~ ( coll @ SV186 @ SV54 @ SV102 ) ) )
        = $true )
      | ( ( ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) )
        = $true )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[606]) ).

thf(647,plain,
    ! [SV187: $i,SV103: $i,SV55: $i,SV7: $i,SV149: $i] :
      ( ( ( ~ ( circle @ SV149 @ SV7 @ SV55 @ SV103 ) )
        = $true )
      | ( ( ~ ( perp @ SV149 @ SV7 @ SV7 @ SV187 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV187 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[607]) ).

thf(648,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ( ~ ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
              | ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
              | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[608]) ).

thf(649,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                      | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
                | ~ ( midp @ SV188 @ SV57 @ SV151 ) ) )
        = $true )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[609]) ).

thf(650,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                              | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                        | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
                  | ~ ( coll @ SV152 @ SV11 @ SV59 ) )
            | ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[610]) ).

thf(651,plain,
    ! [SV108: $i,SV60: $i,SV12: $i,SV153: $i] :
      ( ( ( circle @ SV153 @ SV12 @ SV60 @ SV108 )
        = $false )
      | ( ( ~ ( coll @ SV153 @ SV12 @ SV108 ) )
        = $true )
      | ( ( perp @ SV12 @ SV60 @ SV60 @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[611]) ).

thf(652,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV154 @ SV13 @ SV61 )
                | ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV190 @ SV13 @ SV109 ) )
        = $true )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[612]) ).

thf(653,plain,
    ! [SV110: $i,SV62: $i,SV14: $i] :
      ( ( ( coll @ SV14 @ SV62 @ SV110 )
        = $false )
      | ( ( cong @ SV14 @ SV62 @ SV14 @ SV110 )
        = $false )
      | ( ( midp @ SV14 @ SV62 @ SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(654,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV191 @ SV15 @ SV63 )
                | ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) ) )
        = $true )
      | ( ( ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
        = $true )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[614]) ).

thf(655,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ( ~ ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
              | ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
              | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(656,plain,
    ! [SV113: $i,SV65: $i,SV17: $i,SV157: $i] :
      ( ( ( circle @ SV157 @ SV17 @ SV65 @ SV113 )
        = $false )
      | ( ( perp @ ( sK19_SY918 @ SV113 @ SV65 @ SV17 @ SV157 ) @ SV17 @ SV17 @ SV157 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[616]) ).

thf(657,plain,
    ! [SV158: $i,SV114: $i,SV215: $i,SV66: $i,SV18: $i,SV192: $i] :
      ( ( ( ~ ( midp @ SV192 @ SV18 @ SV66 )
          | ~ ( midp @ SV215 @ SV114 @ SV158 ) )
        = $true )
      | ( ( eqratio @ SV192 @ SV18 @ SV18 @ SV66 @ SV215 @ SV114 @ SV114 @ SV158 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[617]) ).

thf(658,plain,
    ! [SV160: $i,SV116: $i,SV68: $i,SV20: $i,SV194: $i] :
      ( ( ( ~ ( midp @ SV194 @ SV20 @ SV68 ) )
        = $true )
      | ( ( ~ ( midp @ SV194 @ SV116 @ SV160 ) )
        = $true )
      | ( ( para @ SV20 @ SV116 @ SV68 @ SV160 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[619]) ).

thf(659,plain,
    ! [SV238: $i,SV230: $i,SV217: $i,SV195: $i,SV161: $i,SV117: $i,SV69: $i,SV21: $i] :
      ( ( ( ~ ( eqangle @ SV21 @ SV69 @ SV117 @ SV161 @ SV195 @ SV217 @ SV230 @ SV238 ) )
        = $true )
      | ( ( eqangle @ SV69 @ SV21 @ SV117 @ SV161 @ SV195 @ SV217 @ SV230 @ SV238 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[620]) ).

thf(660,plain,
    ! [SV239: $i,SV231: $i,SV218: $i,SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SV231 @ SV239 )
                | ~ ( para @ SV196 @ SV218 @ SV231 @ SV239 ) ) )
        = $true )
      | ( ( para @ SV23 @ SV71 @ SV119 @ SV162 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[621]) ).

thf(661,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                              | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
                        | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
                  | ~ ( coll @ SV164 @ SV198 @ SV220 ) )
            | ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
                | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[623]) ).

thf(662,plain,
    ! [SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY1071: $i,SY1072: $i,SY1073: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
                  | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SY1071 @ SY1072 @ SY1073 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SY1071 @ SY1072 @ SY1073 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[624]) ).

thf(663,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
                | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
              | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[625]) ).

thf(664,plain,
    ! [SV201: $i,SV125: $i,SV77: $i,SV29: $i,SV167: $i] :
      ( ( ( ~ ( circle @ SV167 @ SV29 @ SV77 @ SV125 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV29 @ SV201 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 ) )
        = $true )
      | ( ( perp @ SV167 @ SV29 @ SV29 @ SV201 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[626]) ).

thf(665,plain,
    ! [SV168: $i,SV78: $i,SV30: $i,SV126: $i] :
      ( ( ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SV168 @ SV30 @ SV168 @ SV78 )
        = $false )
      | ( ( ~ ~ ( coll @ SV126 @ SV168 @ SV30 ) )
        = $true )
      | ( ( cyclic @ SV30 @ SV78 @ SV126 @ SV168 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(666,plain,
    ! [SV241: $i,SV234: $i,SV222: $i,SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SV234 @ SV241 )
                | ~ ( perp @ SV202 @ SV222 @ SV234 @ SV241 ) ) )
        = $true )
      | ( ( perp @ SV31 @ SV79 @ SV127 @ SV169 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[628]) ).

thf(667,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ( ~ ( ~ ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
              | ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
              | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(668,plain,
    ! [SV82: $i,SV34: $i,SV130: $i] :
      ( ( ( ~ ( coll @ SV130 @ SV34 @ SV82 ) )
        = $false )
      | ( ( eqangle @ SV130 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SV130 @ SV82 )
        = $false )
      | ( ( cong @ SV130 @ SV34 @ SV130 @ SV82 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[631]) ).

thf(669,plain,
    ! [SV173: $i,SV132: $i,SV84: $i,SV36: $i] :
      ( ( ( coll @ SV36 @ SV84 @ SV132 )
        = $false )
      | ( ( ~ ( coll @ SV36 @ SV84 @ SV173 ) )
        = $true )
      | ( ( coll @ SV132 @ SV173 @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[632]) ).

thf(670,plain,
    ! [SV242: $i,SV235: $i,SV224: $i,SV204: $i,SV174: $i,SV133: $i,SV85: $i,SV37: $i] :
      ( ( ( ~ ( eqangle @ SV37 @ SV85 @ SV133 @ SV174 @ SV204 @ SV224 @ SV235 @ SV242 ) )
        = $true )
      | ( ( eqangle @ SV204 @ SV224 @ SV235 @ SV242 @ SV37 @ SV85 @ SV133 @ SV174 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[633]) ).

thf(671,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV205 @ SV38 @ SV86 )
              | ~ ( midp @ SV225 @ SV134 @ SV175 ) )
        | ~ ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                  | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
            | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[634]) ).

thf(672,plain,
    ! [SV206: $i,SV135: $i,SV87: $i,SV39: $i,SV176: $i] :
      ( ( ( ~ ( circle @ SV176 @ SV39 @ SV87 @ SV135 ) )
        = $true )
      | ( ( ~ ( midp @ SV206 @ SV87 @ SV135 ) )
        = $true )
      | ( ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SV176 @ SV87 @ SV176 @ SV206 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[635]) ).

thf(673,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
                  | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                            | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                      | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
                | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[636]) ).

thf(674,plain,
    ! [SV243: $i,SV236: $i,SV226: $i,SV207: $i,SV178: $i,SV139: $i,SV91: $i,SV43: $i] :
      ( ( ( ~ ( eqangle @ SV43 @ SV91 @ SV139 @ SV178 @ SV207 @ SV226 @ SV236 @ SV243 ) )
        = $true )
      | ( ( eqangle @ SV139 @ SV178 @ SV43 @ SV91 @ SV236 @ SV243 @ SV207 @ SV226 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[637]) ).

thf(675,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                          | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                    | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
              | ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        | ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
            | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[638]) ).

thf(676,plain,
    ! [SV141: $i,SV209: $i,SV93: $i,SV45: $i,SV180: $i] :
      ( ( ( ~ ( midp @ SV180 @ SV45 @ SV93 ) )
        = $true )
      | ( ( ~ ( midp @ SV209 @ SV45 @ SV141 ) )
        = $true )
      | ( ( para @ SV180 @ SV209 @ SV93 @ SV141 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[639]) ).

thf(677,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
                | ~ ( coll @ SV94 @ SV181 @ SV210 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
              | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[640]) ).

thf(678,plain,
    ! [SV182: $i,SV95: $i,SV47: $i,SV143: $i] :
      ( ( ( eqangle @ SV143 @ SV47 @ SV143 @ SV95 @ SV182 @ SV47 @ SV182 @ SV95 )
        = $false )
      | ( ( ~ ( coll @ SV143 @ SV182 @ SV95 ) )
        = $true )
      | ( ( cyclic @ SV47 @ SV95 @ SV143 @ SV182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(679,plain,
    ! [SV244: $i,SV237: $i,SV228: $i,SV211: $i,SV183: $i,SV144: $i,SV96: $i,SV48: $i] :
      ( ( ( ~ ( eqangle @ SV48 @ SV96 @ SV144 @ SV183 @ SV211 @ SV228 @ SV237 @ SV244 ) )
        = $true )
      | ( ( eqangle @ SV48 @ SV96 @ SV211 @ SV228 @ SV144 @ SV183 @ SV237 @ SV244 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[642]) ).

thf(680,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
                | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        = $true )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[643]) ).

thf(681,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ! [SY1066: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                                | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                          | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
                    | ~ ( ( SV185 != SV213 ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                              | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                        | ~ ( coll @ SY1066 @ SV51 @ SV146 ) )
                  | ~ ( cong @ SY1066 @ SV213 @ SV213 @ SV3 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(682,plain,
    ! [SV53: $i,SV101: $i,SV5: $i,SV147: $i] :
      ( ( ( cong @ SV147 @ SV5 @ SV147 @ SV101 )
        = $false )
      | ( ( cong @ SV147 @ SV5 @ SV147 @ SV53 )
        = $false )
      | ( ( circle @ SV147 @ SV5 @ SV53 @ SV101 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[645]) ).

thf(683,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ( ~ ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
              | ~ ( coll @ SV186 @ SV54 @ SV102 ) ) )
        = $false )
      | ( ( ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) )
        = $true )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(684,plain,
    ! [SV187: $i,SV103: $i,SV55: $i,SV7: $i,SV149: $i] :
      ( ( ( circle @ SV149 @ SV7 @ SV55 @ SV103 )
        = $false )
      | ( ( ~ ( perp @ SV149 @ SV7 @ SV7 @ SV187 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV187 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(685,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
          | ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
              | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[648]) ).

thf(686,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                    | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
              | ~ ( midp @ SV188 @ SV57 @ SV151 ) ) )
        = $false )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[649]) ).

thf(687,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                          | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                    | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
              | ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        | ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[650]) ).

thf(688,plain,
    ! [SV60: $i,SV108: $i,SV12: $i,SV153: $i] :
      ( ( ( coll @ SV153 @ SV12 @ SV108 )
        = $false )
      | ( ( circle @ SV153 @ SV12 @ SV60 @ SV108 )
        = $false )
      | ( ( perp @ SV12 @ SV60 @ SV60 @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(689,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ( ~ ( ~ ( midp @ SV154 @ SV13 @ SV61 )
              | ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV190 @ SV13 @ SV109 ) )
        = $true )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(690,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ( ~ ( ~ ( midp @ SV191 @ SV15 @ SV63 )
              | ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) ) )
        = $false )
      | ( ( ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
        = $true )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[654]) ).

thf(691,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
          | ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
              | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[655]) ).

thf(692,plain,
    ! [SV158: $i,SV114: $i,SV215: $i,SV66: $i,SV18: $i,SV192: $i] :
      ( ( ( ~ ( midp @ SV192 @ SV18 @ SV66 ) )
        = $true )
      | ( ( ~ ( midp @ SV215 @ SV114 @ SV158 ) )
        = $true )
      | ( ( eqratio @ SV192 @ SV18 @ SV18 @ SV66 @ SV215 @ SV114 @ SV114 @ SV158 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[657]) ).

thf(693,plain,
    ! [SV160: $i,SV116: $i,SV68: $i,SV20: $i,SV194: $i] :
      ( ( ( midp @ SV194 @ SV20 @ SV68 )
        = $false )
      | ( ( ~ ( midp @ SV194 @ SV116 @ SV160 ) )
        = $true )
      | ( ( para @ SV20 @ SV116 @ SV68 @ SV160 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(694,plain,
    ! [SV238: $i,SV230: $i,SV217: $i,SV195: $i,SV161: $i,SV117: $i,SV69: $i,SV21: $i] :
      ( ( ( eqangle @ SV21 @ SV69 @ SV117 @ SV161 @ SV195 @ SV217 @ SV230 @ SV238 )
        = $false )
      | ( ( eqangle @ SV69 @ SV21 @ SV117 @ SV161 @ SV195 @ SV217 @ SV230 @ SV238 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(695,plain,
    ! [SV239: $i,SV231: $i,SV218: $i,SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SV231 @ SV239 )
              | ~ ( para @ SV196 @ SV218 @ SV231 @ SV239 ) ) )
        = $false )
      | ( ( para @ SV23 @ SV71 @ SV119 @ SV162 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[660]) ).

thf(696,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                          | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
                    | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
              | ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        | ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
            | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[661]) ).

thf(697,plain,
    ! [SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY1074: $i,SY1075: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
                  | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SY1074 @ SY1075 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SY1074 @ SY1075 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[662]) ).

thf(698,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
              | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) ) )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
              | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(699,plain,
    ! [SV201: $i,SV125: $i,SV77: $i,SV29: $i,SV167: $i] :
      ( ( ( circle @ SV167 @ SV29 @ SV77 @ SV125 )
        = $false )
      | ( ( ~ ( eqangle @ SV29 @ SV201 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 ) )
        = $true )
      | ( ( perp @ SV167 @ SV29 @ SV29 @ SV201 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[664]) ).

thf(700,plain,
    ! [SV78: $i,SV30: $i,SV168: $i,SV126: $i] :
      ( ( ( ~ ( coll @ SV126 @ SV168 @ SV30 ) )
        = $false )
      | ( ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SV168 @ SV30 @ SV168 @ SV78 )
        = $false )
      | ( ( cyclic @ SV30 @ SV78 @ SV126 @ SV168 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(701,plain,
    ! [SV241: $i,SV234: $i,SV222: $i,SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SV234 @ SV241 )
              | ~ ( perp @ SV202 @ SV222 @ SV234 @ SV241 ) ) )
        = $false )
      | ( ( perp @ SV31 @ SV79 @ SV127 @ SV169 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[666]) ).

thf(702,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ( ~ ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
          | ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
              | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[667]) ).

thf(703,plain,
    ! [SV82: $i,SV34: $i,SV130: $i] :
      ( ( ( coll @ SV130 @ SV34 @ SV82 )
        = $true )
      | ( ( eqangle @ SV130 @ SV34 @ SV34 @ SV82 @ SV34 @ SV82 @ SV130 @ SV82 )
        = $false )
      | ( ( cong @ SV130 @ SV34 @ SV130 @ SV82 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[668]) ).

thf(704,plain,
    ! [SV132: $i,SV173: $i,SV84: $i,SV36: $i] :
      ( ( ( coll @ SV36 @ SV84 @ SV173 )
        = $false )
      | ( ( coll @ SV36 @ SV84 @ SV132 )
        = $false )
      | ( ( coll @ SV132 @ SV173 @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[669]) ).

thf(705,plain,
    ! [SV242: $i,SV235: $i,SV224: $i,SV204: $i,SV174: $i,SV133: $i,SV85: $i,SV37: $i] :
      ( ( ( eqangle @ SV37 @ SV85 @ SV133 @ SV174 @ SV204 @ SV224 @ SV235 @ SV242 )
        = $false )
      | ( ( eqangle @ SV204 @ SV224 @ SV235 @ SV242 @ SV37 @ SV85 @ SV133 @ SV174 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(706,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV205 @ SV38 @ SV86 )
                | ~ ( midp @ SV225 @ SV134 @ SV175 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                    | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
              | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[671]) ).

thf(707,plain,
    ! [SV206: $i,SV135: $i,SV87: $i,SV39: $i,SV176: $i] :
      ( ( ( circle @ SV176 @ SV39 @ SV87 @ SV135 )
        = $false )
      | ( ( ~ ( midp @ SV206 @ SV87 @ SV135 ) )
        = $true )
      | ( ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SV176 @ SV87 @ SV176 @ SV206 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[672]) ).

thf(708,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
              | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                        | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                  | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
            | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[673]) ).

thf(709,plain,
    ! [SV243: $i,SV236: $i,SV226: $i,SV207: $i,SV178: $i,SV139: $i,SV91: $i,SV43: $i] :
      ( ( ( eqangle @ SV43 @ SV91 @ SV139 @ SV178 @ SV207 @ SV226 @ SV236 @ SV243 )
        = $false )
      | ( ( eqangle @ SV139 @ SV178 @ SV43 @ SV91 @ SV236 @ SV243 @ SV207 @ SV226 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[674]) ).

thf(710,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                            | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                      | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
                | ~ ( coll @ SV227 @ SV44 @ SV92 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[675]) ).

thf(711,plain,
    ! [SV141: $i,SV209: $i,SV93: $i,SV45: $i,SV180: $i] :
      ( ( ( midp @ SV180 @ SV45 @ SV93 )
        = $false )
      | ( ( ~ ( midp @ SV209 @ SV45 @ SV141 ) )
        = $true )
      | ( ( para @ SV180 @ SV209 @ SV93 @ SV141 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[676]) ).

thf(712,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ( ~ ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
              | ~ ( coll @ SV94 @ SV181 @ SV210 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
              | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(713,plain,
    ! [SV47: $i,SV95: $i,SV182: $i,SV143: $i] :
      ( ( ( coll @ SV143 @ SV182 @ SV95 )
        = $false )
      | ( ( eqangle @ SV143 @ SV47 @ SV143 @ SV95 @ SV182 @ SV47 @ SV182 @ SV95 )
        = $false )
      | ( ( cyclic @ SV47 @ SV95 @ SV143 @ SV182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(714,plain,
    ! [SV244: $i,SV237: $i,SV228: $i,SV211: $i,SV183: $i,SV144: $i,SV96: $i,SV48: $i] :
      ( ( ( eqangle @ SV48 @ SV96 @ SV144 @ SV183 @ SV211 @ SV228 @ SV237 @ SV244 )
        = $false )
      | ( ( eqangle @ SV48 @ SV96 @ SV211 @ SV228 @ SV144 @ SV183 @ SV237 @ SV244 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(715,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
              | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) ) )
        = $false )
      | ( ( ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        = $true )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(716,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                              | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                        | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
                  | ~ ( ( SV185 != SV213 ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                            | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                      | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
                | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[681]) ).

thf(717,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
          | ~ ( coll @ SV186 @ SV54 @ SV102 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) )
        = $true )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[683]) ).

thf(718,plain,
    ! [SV103: $i,SV55: $i,SV187: $i,SV7: $i,SV149: $i] :
      ( ( ( perp @ SV149 @ SV7 @ SV7 @ SV187 )
        = $false )
      | ( ( circle @ SV149 @ SV7 @ SV55 @ SV103 )
        = $false )
      | ( ( eqangle @ SV7 @ SV187 @ SV7 @ SV55 @ SV103 @ SV7 @ SV103 @ SV55 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[684]) ).

thf(719,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ( ~ ( cong @ SV104 @ SV8 @ SV104 @ SV56 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
              | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[685]) ).

thf(720,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
          | ~ ( midp @ SV188 @ SV57 @ SV151 ) )
        = $true )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[686]) ).

thf(721,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                            | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                      | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
                | ~ ( coll @ SV152 @ SV11 @ SV59 ) ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[687]) ).

thf(722,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ( ~ ( midp @ SV154 @ SV13 @ SV61 )
          | ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) )
        = $true )
      | ( ( ~ ( coll @ SV190 @ SV13 @ SV109 ) )
        = $true )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[689]) ).

thf(723,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ( ~ ( midp @ SV191 @ SV15 @ SV63 )
          | ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) )
        = $true )
      | ( ( ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
        = $true )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(724,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ( ~ ( perp @ SV112 @ SV64 @ SV64 @ SV16 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
              | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[691]) ).

thf(725,plain,
    ! [SV158: $i,SV114: $i,SV215: $i,SV66: $i,SV18: $i,SV192: $i] :
      ( ( ( midp @ SV192 @ SV18 @ SV66 )
        = $false )
      | ( ( ~ ( midp @ SV215 @ SV114 @ SV158 ) )
        = $true )
      | ( ( eqratio @ SV192 @ SV18 @ SV18 @ SV66 @ SV215 @ SV114 @ SV114 @ SV158 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[692]) ).

thf(726,plain,
    ! [SV68: $i,SV20: $i,SV160: $i,SV116: $i,SV194: $i] :
      ( ( ( midp @ SV194 @ SV116 @ SV160 )
        = $false )
      | ( ( midp @ SV194 @ SV20 @ SV68 )
        = $false )
      | ( ( para @ SV20 @ SV116 @ SV68 @ SV160 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[693]) ).

thf(727,plain,
    ! [SV239: $i,SV231: $i,SV218: $i,SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SV231 @ SV239 )
          | ~ ( para @ SV196 @ SV218 @ SV231 @ SV239 ) )
        = $true )
      | ( ( para @ SV23 @ SV71 @ SV119 @ SV162 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[695]) ).

thf(728,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                            | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
                      | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
                | ~ ( coll @ SV164 @ SV198 @ SV220 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[696]) ).

thf(729,plain,
    ! [SV247: $i,SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ! [SY1076: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
                  | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SV247 @ SY1076 ) )
            | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SV247 @ SY1076 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[697]) ).

thf(730,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
          | ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
              | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[698]) ).

thf(731,plain,
    ! [SV167: $i,SV125: $i,SV77: $i,SV201: $i,SV29: $i] :
      ( ( ( eqangle @ SV29 @ SV201 @ SV29 @ SV77 @ SV125 @ SV29 @ SV125 @ SV77 )
        = $false )
      | ( ( circle @ SV167 @ SV29 @ SV77 @ SV125 )
        = $false )
      | ( ( perp @ SV167 @ SV29 @ SV29 @ SV201 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[699]) ).

thf(732,plain,
    ! [SV78: $i,SV30: $i,SV168: $i,SV126: $i] :
      ( ( ( coll @ SV126 @ SV168 @ SV30 )
        = $true )
      | ( ( eqangle @ SV126 @ SV30 @ SV126 @ SV78 @ SV168 @ SV30 @ SV168 @ SV78 )
        = $false )
      | ( ( cyclic @ SV30 @ SV78 @ SV126 @ SV168 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(733,plain,
    ! [SV241: $i,SV234: $i,SV222: $i,SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SV234 @ SV241 )
          | ~ ( perp @ SV202 @ SV222 @ SV234 @ SV241 ) )
        = $true )
      | ( ( perp @ SV31 @ SV79 @ SV127 @ SV169 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[701]) ).

thf(734,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ( ~ ( perp @ SV129 @ SV171 @ SV33 @ SV81 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
              | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[702]) ).

thf(735,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ( ~ ( ~ ( midp @ SV205 @ SV38 @ SV86 )
              | ~ ( midp @ SV225 @ SV134 @ SV175 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                    | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
              | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[706]) ).

thf(736,plain,
    ! [SV39: $i,SV176: $i,SV135: $i,SV87: $i,SV206: $i] :
      ( ( ( midp @ SV206 @ SV87 @ SV135 )
        = $false )
      | ( ( circle @ SV176 @ SV39 @ SV87 @ SV135 )
        = $false )
      | ( ( eqangle @ SV39 @ SV87 @ SV39 @ SV135 @ SV176 @ SV87 @ SV176 @ SV206 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(737,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
                | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                          | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                    | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
              | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[708]) ).

thf(738,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                          | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                    | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
              | ~ ( coll @ SV227 @ SV44 @ SV92 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[710]) ).

thf(739,plain,
    ! [SV93: $i,SV180: $i,SV141: $i,SV45: $i,SV209: $i] :
      ( ( ( midp @ SV209 @ SV45 @ SV141 )
        = $false )
      | ( ( midp @ SV180 @ SV45 @ SV93 )
        = $false )
      | ( ( para @ SV180 @ SV209 @ SV93 @ SV141 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(740,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
          | ~ ( coll @ SV94 @ SV181 @ SV210 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
              | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[712]) ).

thf(741,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
          | ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        = $true )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[715]) ).

thf(742,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                          | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                    | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
              | ~ ( ( SV185 != SV213 ) ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                        | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                  | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
            | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[716]) ).

thf(743,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ( ~ ( circle @ SV148 @ SV6 @ SV54 @ SV102 ) )
        = $true )
      | ( ( ~ ( coll @ SV186 @ SV54 @ SV102 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) )
        = $true )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[717]) ).

thf(744,plain,
    ! [SV150: $i,SV56: $i,SV8: $i,SV104: $i] :
      ( ( ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
        = $false )
      | ( ( ~ ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
              | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[719]) ).

thf(745,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
                | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) ) )
        = $true )
      | ( ( ~ ( midp @ SV188 @ SV57 @ SV151 ) )
        = $true )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[720]) ).

thf(746,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                          | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                    | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
              | ~ ( coll @ SV152 @ SV11 @ SV59 ) ) )
        = $false )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[721]) ).

thf(747,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ( ~ ( midp @ SV154 @ SV13 @ SV61 ) )
        = $true )
      | ( ( ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) )
        = $true )
      | ( ( ~ ( coll @ SV190 @ SV13 @ SV109 ) )
        = $true )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[722]) ).

thf(748,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ( ~ ( midp @ SV191 @ SV15 @ SV63 ) )
        = $true )
      | ( ( ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) )
        = $true )
      | ( ( ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
        = $true )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[723]) ).

thf(749,plain,
    ! [SV156: $i,SV16: $i,SV64: $i,SV112: $i] :
      ( ( ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
        = $false )
      | ( ( ~ ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
              | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[724]) ).

thf(750,plain,
    ! [SV66: $i,SV18: $i,SV192: $i,SV158: $i,SV114: $i,SV215: $i] :
      ( ( ( midp @ SV215 @ SV114 @ SV158 )
        = $false )
      | ( ( midp @ SV192 @ SV18 @ SV66 )
        = $false )
      | ( ( eqratio @ SV192 @ SV18 @ SV18 @ SV66 @ SV215 @ SV114 @ SV114 @ SV158 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[725]) ).

thf(751,plain,
    ! [SV239: $i,SV231: $i,SV218: $i,SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ( ~ ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SV231 @ SV239 ) )
        = $true )
      | ( ( ~ ( para @ SV196 @ SV218 @ SV231 @ SV239 ) )
        = $true )
      | ( ( para @ SV23 @ SV71 @ SV119 @ SV162 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[727]) ).

thf(752,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                          | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
                    | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
              | ~ ( coll @ SV164 @ SV198 @ SV220 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[728]) ).

thf(753,plain,
    ! [SV248: $i,SV247: $i,SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
              | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SV247 @ SV248 ) )
        | ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SV247 @ SV248 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[729]) ).

thf(754,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
              | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[730]) ).

thf(755,plain,
    ! [SV241: $i,SV234: $i,SV222: $i,SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ( ~ ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SV234 @ SV241 ) )
        = $true )
      | ( ( ~ ( perp @ SV202 @ SV222 @ SV234 @ SV241 ) )
        = $true )
      | ( ( perp @ SV31 @ SV79 @ SV127 @ SV169 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[733]) ).

thf(756,plain,
    ! [SV81: $i,SV33: $i,SV171: $i,SV129: $i] :
      ( ( ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
        = $false )
      | ( ( ~ ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
              | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(757,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ( ~ ( midp @ SV205 @ SV38 @ SV86 )
          | ~ ( midp @ SV225 @ SV134 @ SV175 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                    | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
              | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[735]) ).

thf(758,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ( ~ ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
              | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                          | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                    | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
              | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[737]) ).

thf(759,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                      | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
          | ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(760,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ( ~ ( perp @ SV46 @ SV142 @ SV142 @ SV94 ) )
        = $true )
      | ( ( ~ ( coll @ SV94 @ SV181 @ SV210 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
              | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[740]) ).

thf(761,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( ~ ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        = $true )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[741]) ).

thf(762,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                            | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                      | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
                | ~ ( ( SV185 != SV213 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[742]) ).

thf(763,plain,
    ! [SV186: $i,SV102: $i,SV54: $i,SV6: $i,SV148: $i] :
      ( ( ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
        = $false )
      | ( ( ~ ( coll @ SV186 @ SV54 @ SV102 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) )
        = $true )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(764,plain,
    ! [SV56: $i,SV150: $i,SV104: $i,SV8: $i] :
      ( ( ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 )
        = $false )
      | ( ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
              | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[744]) ).

thf(765,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
              | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) ) )
        = $false )
      | ( ( ~ ( midp @ SV188 @ SV57 @ SV151 ) )
        = $true )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(766,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                      | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
          | ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[746]) ).

thf(767,plain,
    ! [SV109: $i,SV190: $i,SV61: $i,SV13: $i,SV154: $i] :
      ( ( ( midp @ SV154 @ SV13 @ SV61 )
        = $false )
      | ( ( ~ ( para @ SV154 @ SV190 @ SV61 @ SV109 ) )
        = $true )
      | ( ( ~ ( coll @ SV190 @ SV13 @ SV109 ) )
        = $true )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[747]) ).

thf(768,plain,
    ! [SV155: $i,SV111: $i,SV63: $i,SV15: $i,SV191: $i] :
      ( ( ( midp @ SV191 @ SV15 @ SV63 )
        = $false )
      | ( ( ~ ( para @ SV15 @ SV111 @ SV63 @ SV155 ) )
        = $true )
      | ( ( ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
        = $true )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[748]) ).

thf(769,plain,
    ! [SV16: $i,SV64: $i,SV112: $i,SV156: $i] :
      ( ( ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 )
        = $false )
      | ( ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
              | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[749]) ).

thf(770,plain,
    ! [SV239: $i,SV231: $i,SV218: $i,SV196: $i,SV162: $i,SV119: $i,SV71: $i,SV23: $i] :
      ( ( ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SV231 @ SV239 )
        = $false )
      | ( ( ~ ( para @ SV196 @ SV218 @ SV231 @ SV239 ) )
        = $true )
      | ( ( para @ SV23 @ SV71 @ SV119 @ SV162 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[751]) ).

thf(771,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                      | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
                | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
          | ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[752]) ).

thf(772,plain,
    ! [SV248: $i,SV247: $i,SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
                | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SV247 @ SV248 ) ) )
        = $true )
      | ( ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SV247 @ SV248 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[753]) ).

thf(773,plain,
    ! [SV200: $i,SV166: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
        = $false )
      | ( ( ~ ~ ( coll @ SV28 @ SV76 @ SV124 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
              | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(774,plain,
    ! [SV241: $i,SV234: $i,SV222: $i,SV202: $i,SV169: $i,SV127: $i,SV79: $i,SV31: $i] :
      ( ( ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SV234 @ SV241 )
        = $false )
      | ( ( ~ ( perp @ SV202 @ SV222 @ SV234 @ SV241 ) )
        = $true )
      | ( ( perp @ SV31 @ SV79 @ SV127 @ SV169 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[755]) ).

thf(775,plain,
    ! [SV81: $i,SV171: $i,SV129: $i,SV33: $i] :
      ( ( ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 )
        = $false )
      | ( ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
              | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[756]) ).

thf(776,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ( ~ ( midp @ SV205 @ SV38 @ SV86 ) )
        = $true )
      | ( ( ~ ( midp @ SV225 @ SV134 @ SV175 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                    | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
              | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[757]) ).

thf(777,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
          | ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                          | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                    | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
              | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[758]) ).

thf(778,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                      | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
                | ~ ( coll @ SV208 @ SV92 @ SV179 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[759]) ).

thf(779,plain,
    ! [SV210: $i,SV181: $i,SV94: $i,SV142: $i,SV46: $i] :
      ( ( ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
        = $false )
      | ( ( ~ ( coll @ SV94 @ SV181 @ SV210 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
              | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[760]) ).

thf(780,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
        = $false )
      | ( ( ~ ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        = $true )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[761]) ).

thf(781,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                          | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                    | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
              | ~ ( ( SV185 != SV213 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(782,plain,
    ! [SV6: $i,SV148: $i,SV102: $i,SV54: $i,SV186: $i] :
      ( ( ( coll @ SV186 @ SV54 @ SV102 )
        = $false )
      | ( ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
        = $false )
      | ( ( ~ ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 ) )
        = $true )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[763]) ).

thf(783,plain,
    ! [SV104: $i,SV150: $i,SV8: $i,SV56: $i] :
      ( ( ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
          | ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) )
        = $false )
      | ( ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
        = $false )
      | ( ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[764]) ).

thf(784,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
          | ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
        = $true )
      | ( ( ~ ( midp @ SV188 @ SV57 @ SV151 ) )
        = $true )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[765]) ).

thf(785,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                      | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
                | ~ ( coll @ SV107 @ SV11 @ SV59 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[766]) ).

thf(786,plain,
    ! [SV13: $i,SV109: $i,SV61: $i,SV190: $i,SV154: $i] :
      ( ( ( para @ SV154 @ SV190 @ SV61 @ SV109 )
        = $false )
      | ( ( midp @ SV154 @ SV13 @ SV61 )
        = $false )
      | ( ( ~ ( coll @ SV190 @ SV13 @ SV109 ) )
        = $true )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[767]) ).

thf(787,plain,
    ! [SV191: $i,SV155: $i,SV63: $i,SV111: $i,SV15: $i] :
      ( ( ( para @ SV15 @ SV111 @ SV63 @ SV155 )
        = $false )
      | ( ( midp @ SV191 @ SV15 @ SV63 )
        = $false )
      | ( ( ~ ( para @ SV15 @ SV155 @ SV63 @ SV111 ) )
        = $true )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[768]) ).

thf(788,plain,
    ! [SV112: $i,SV64: $i,SV16: $i,SV156: $i] :
      ( ( ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
          | ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) )
        = $false )
      | ( ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
        = $false )
      | ( ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[769]) ).

thf(789,plain,
    ! [SV162: $i,SV119: $i,SV71: $i,SV23: $i,SV239: $i,SV231: $i,SV218: $i,SV196: $i] :
      ( ( ( para @ SV196 @ SV218 @ SV231 @ SV239 )
        = $false )
      | ( ( eqangle @ SV23 @ SV71 @ SV119 @ SV162 @ SV196 @ SV218 @ SV231 @ SV239 )
        = $false )
      | ( ( para @ SV23 @ SV71 @ SV119 @ SV162 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[770]) ).

thf(790,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                      | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
                | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[771]) ).

thf(791,plain,
    ! [SV248: $i,SV247: $i,SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
              | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SV247 @ SV248 ) ) )
        = $false )
      | ( ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SV247 @ SV248 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(792,plain,
    ! [SV200: $i,SV166: $i,SV124: $i,SV76: $i,SV28: $i] :
      ( ( ( ~ ( coll @ SV28 @ SV76 @ SV124 ) )
        = $false )
      | ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
              | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(793,plain,
    ! [SV169: $i,SV127: $i,SV79: $i,SV31: $i,SV241: $i,SV234: $i,SV222: $i,SV202: $i] :
      ( ( ( perp @ SV202 @ SV222 @ SV234 @ SV241 )
        = $false )
      | ( ( eqangle @ SV31 @ SV79 @ SV127 @ SV169 @ SV202 @ SV222 @ SV234 @ SV241 )
        = $false )
      | ( ( perp @ SV31 @ SV79 @ SV127 @ SV169 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(794,plain,
    ! [SV129: $i,SV171: $i,SV33: $i,SV81: $i] :
      ( ( ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
          | ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) )
        = $false )
      | ( ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
        = $false )
      | ( ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(795,plain,
    ! [SV175: $i,SV134: $i,SV225: $i,SV86: $i,SV38: $i,SV205: $i] :
      ( ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( ~ ( midp @ SV225 @ SV134 @ SV175 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                    | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
              | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[776]) ).

thf(796,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ( ~ ( perp @ SV42 @ SV177 @ SV90 @ SV138 ) )
        = $true )
      | ( ( ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                          | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                    | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
              | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[777]) ).

thf(797,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                    | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
              | ~ ( coll @ SV208 @ SV92 @ SV179 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[778]) ).

thf(798,plain,
    ! [SV142: $i,SV46: $i,SV210: $i,SV181: $i,SV94: $i] :
      ( ( ( coll @ SV94 @ SV181 @ SV210 )
        = $false )
      | ( ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
              | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[779]) ).

thf(799,plain,
    ! [SV184: $i,SV212: $i,SV145: $i,SV50: $i,SV98: $i,SV2: $i] :
      ( ( ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 )
        = $false )
      | ( ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
        = $false )
      | ( ( ~ ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        = $true )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[780]) ).

thf(800,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                      | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
          | ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[781]) ).

thf(801,plain,
    ! [SV186: $i,SV148: $i,SV102: $i,SV54: $i,SV6: $i] :
      ( ( ( eqangle @ SV6 @ SV54 @ SV6 @ SV102 @ SV148 @ SV54 @ SV148 @ SV186 )
        = $false )
      | ( ( circle @ SV148 @ SV6 @ SV54 @ SV102 )
        = $false )
      | ( ( coll @ SV186 @ SV54 @ SV102 )
        = $false )
      | ( ( midp @ SV186 @ SV54 @ SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(802,plain,
    ! [SV104: $i,SV150: $i,SV8: $i,SV56: $i] :
      ( ( ( ~ ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) ) )
        = $false )
      | ( ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
        = $false )
      | ( ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[783]) ).

thf(803,plain,
    ! [SV104: $i,SV8: $i,SV56: $i,SV150: $i] :
      ( ( ( ~ ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 ) )
        = $false )
      | ( ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
        = $false )
      | ( ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[783]) ).

thf(804,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ( ~ ( perp @ SV9 @ SV57 @ SV9 @ SV105 ) )
        = $true )
      | ( ( ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
        = $true )
      | ( ( ~ ( midp @ SV188 @ SV57 @ SV151 ) )
        = $true )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[784]) ).

thf(805,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                    | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
              | ~ ( coll @ SV107 @ SV11 @ SV59 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[785]) ).

thf(806,plain,
    ! [SV61: $i,SV154: $i,SV109: $i,SV13: $i,SV190: $i] :
      ( ( ( coll @ SV190 @ SV13 @ SV109 )
        = $false )
      | ( ( midp @ SV154 @ SV13 @ SV61 )
        = $false )
      | ( ( para @ SV154 @ SV190 @ SV61 @ SV109 )
        = $false )
      | ( ( midp @ SV190 @ SV13 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[786]) ).

thf(807,plain,
    ! [SV191: $i,SV111: $i,SV63: $i,SV155: $i,SV15: $i] :
      ( ( ( para @ SV15 @ SV155 @ SV63 @ SV111 )
        = $false )
      | ( ( midp @ SV191 @ SV15 @ SV63 )
        = $false )
      | ( ( para @ SV15 @ SV111 @ SV63 @ SV155 )
        = $false )
      | ( ( midp @ SV191 @ SV111 @ SV155 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[787]) ).

thf(808,plain,
    ! [SV112: $i,SV64: $i,SV16: $i,SV156: $i] :
      ( ( ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 ) )
        = $false )
      | ( ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
        = $false )
      | ( ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[788]) ).

thf(809,plain,
    ! [SV112: $i,SV64: $i,SV16: $i,SV156: $i] :
      ( ( ( ~ ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 ) )
        = $false )
      | ( ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
        = $false )
      | ( ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[788]) ).

thf(810,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                    | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
              | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(811,plain,
    ! [SV248: $i,SV247: $i,SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
          | ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SV247 @ SV248 ) )
        = $true )
      | ( ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SV247 @ SV248 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[791]) ).

thf(812,plain,
    ! [SV200: $i,SV166: $i,SV124: $i,SV76: $i,SV28: $i] :
      ( ( ( coll @ SV28 @ SV76 @ SV124 )
        = $true )
      | ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
              | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[792]) ).

thf(813,plain,
    ! [SV129: $i,SV171: $i,SV33: $i,SV81: $i] :
      ( ( ( ~ ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) ) )
        = $false )
      | ( ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
        = $false )
      | ( ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[794]) ).

thf(814,plain,
    ! [SV129: $i,SV171: $i,SV33: $i,SV81: $i] :
      ( ( ( ~ ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 ) )
        = $false )
      | ( ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
        = $false )
      | ( ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[794]) ).

thf(815,plain,
    ! [SV86: $i,SV38: $i,SV205: $i,SV175: $i,SV134: $i,SV225: $i] :
      ( ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                    | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
              | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[795]) ).

thf(816,plain,
    ! [SV138: $i,SV90: $i,SV177: $i,SV42: $i] :
      ( ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( ~ ( perp @ SV90 @ SV177 @ SV42 @ SV138 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                          | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                    | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
              | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[796]) ).

thf(817,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
          | ~ ( coll @ SV208 @ SV92 @ SV179 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[797]) ).

thf(818,plain,
    ! [SV46: $i,SV142: $i,SV94: $i,SV181: $i,SV210: $i] :
      ( ( ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
          | ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) )
        = $false )
      | ( ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
        = $false )
      | ( ( coll @ SV94 @ SV181 @ SV210 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[798]) ).

thf(819,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( ~ ( coll @ SV2 @ SV50 @ SV98 ) )
        = $false )
      | ( ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
        = $false )
      | ( ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 )
        = $false )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(820,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                      | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
                | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) ) )
        = $true )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[800]) ).

thf(821,plain,
    ! [SV104: $i,SV150: $i,SV8: $i,SV56: $i] :
      ( ( ( coll @ SV56 @ SV8 @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) )
        = $true )
      | ( ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
        = $false )
      | ( ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[802]) ).

thf(822,plain,
    ! [SV104: $i,SV8: $i,SV56: $i,SV150: $i] :
      ( ( ( coll @ ( sK17_SY908 @ SV150 @ SV56 @ SV8 @ SV104 ) @ SV104 @ SV150 )
        = $true )
      | ( ( cong @ SV104 @ SV8 @ SV104 @ SV56 )
        = $false )
      | ( ( eqangle @ SV8 @ SV104 @ SV104 @ SV150 @ SV104 @ SV150 @ SV104 @ SV56 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[803]) ).

thf(823,plain,
    ! [SV188: $i,SV151: $i,SV105: $i,SV57: $i,SV9: $i] :
      ( ( ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
        = $false )
      | ( ( ~ ( perp @ SV105 @ SV9 @ SV105 @ SV151 ) )
        = $true )
      | ( ( ~ ( midp @ SV188 @ SV57 @ SV151 ) )
        = $true )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[804]) ).

thf(824,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
          | ~ ( coll @ SV107 @ SV11 @ SV59 ) )
        = $true )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[805]) ).

thf(825,plain,
    ! [SV112: $i,SV64: $i,SV16: $i,SV156: $i] :
      ( ( ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV16 @ SV64 )
        = $true )
      | ( ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
        = $false )
      | ( ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[808]) ).

thf(826,plain,
    ! [SV112: $i,SV64: $i,SV16: $i,SV156: $i] :
      ( ( ( coll @ ( sK18_SY917 @ SV156 @ SV16 @ SV64 @ SV112 ) @ SV112 @ SV156 )
        = $true )
      | ( ( perp @ SV112 @ SV64 @ SV64 @ SV16 )
        = $false )
      | ( ( eqangle @ SV156 @ SV112 @ SV64 @ SV112 @ SV64 @ SV112 @ SV16 @ SV112 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[809]) ).

thf(827,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
          | ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
        = $true )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[810]) ).

thf(828,plain,
    ! [SV248: $i,SV247: $i,SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ( ~ ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SV247 @ SV248 ) )
        = $true )
      | ( ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SV247 @ SV248 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[811]) ).

thf(829,plain,
    ! [SV166: $i,SV200: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
          | ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) )
        = $false )
      | ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
        = $false )
      | ( ( coll @ SV28 @ SV76 @ SV124 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[812]) ).

thf(830,plain,
    ! [SV129: $i,SV171: $i,SV33: $i,SV81: $i] :
      ( ( ( coll @ SV81 @ SV33 @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) )
        = $true )
      | ( ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
        = $false )
      | ( ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[813]) ).

thf(831,plain,
    ! [SV129: $i,SV171: $i,SV33: $i,SV81: $i] :
      ( ( ( coll @ ( sK20_SY955 @ SV81 @ SV33 @ SV171 @ SV129 ) @ SV129 @ SV171 )
        = $true )
      | ( ( perp @ SV129 @ SV171 @ SV33 @ SV81 )
        = $false )
      | ( ( eqangle @ SV33 @ SV129 @ SV129 @ SV171 @ SV129 @ SV171 @ SV129 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[814]) ).

thf(832,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
          | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) )
        = $false )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[815]) ).

thf(833,plain,
    ! [SV138: $i,SV42: $i,SV177: $i,SV90: $i] :
      ( ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                          | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                    | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
              | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[816]) ).

thf(834,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
                | ~ ( coll @ SV208 @ SV44 @ SV140 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV208 @ SV92 @ SV179 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[817]) ).

thf(835,plain,
    ! [SV46: $i,SV142: $i,SV94: $i,SV181: $i,SV210: $i] :
      ( ( ( ~ ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 ) )
        = $false )
      | ( ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
        = $false )
      | ( ( coll @ SV94 @ SV181 @ SV210 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[818]) ).

thf(836,plain,
    ! [SV46: $i,SV142: $i,SV94: $i,SV181: $i,SV210: $i] :
      ( ( ( ~ ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 ) )
        = $false )
      | ( ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
        = $false )
      | ( ( coll @ SV94 @ SV181 @ SV210 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[818]) ).

thf(837,plain,
    ! [SV212: $i,SV184: $i,SV145: $i,SV98: $i,SV50: $i,SV2: $i] :
      ( ( ( coll @ SV2 @ SV50 @ SV98 )
        = $true )
      | ( ( eqangle @ SV2 @ SV50 @ SV50 @ SV98 @ SV145 @ SV184 @ SV184 @ SV212 )
        = $false )
      | ( ( eqangle @ SV2 @ SV98 @ SV50 @ SV98 @ SV145 @ SV212 @ SV184 @ SV212 )
        = $false )
      | ( ( simtri @ SV2 @ SV50 @ SV98 @ SV145 @ SV184 @ SV212 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[819]) ).

thf(838,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                    | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
              | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) ) )
        = $false )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[820]) ).

thf(839,plain,
    ! [SV188: $i,SV57: $i,SV151: $i,SV9: $i,SV105: $i] :
      ( ( ( perp @ SV105 @ SV9 @ SV105 @ SV151 )
        = $false )
      | ( ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
        = $false )
      | ( ( ~ ( midp @ SV188 @ SV57 @ SV151 ) )
        = $true )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[823]) ).

thf(840,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
                | ~ ( midp @ SV214 @ SV107 @ SV152 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV107 @ SV11 @ SV59 ) )
        = $true )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[824]) ).

thf(841,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
                | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) ) )
        = $true )
      | ( ( ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
        = $true )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[827]) ).

thf(842,plain,
    ! [SV248: $i,SV247: $i,SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i,SV165: $i,SV123: $i,SV75: $i,SV27: $i] :
      ( ( ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
        = $false )
      | ( ( ~ ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SV247 @ SV248 ) )
        = $true )
      | ( ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SV247 @ SV248 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[828]) ).

thf(843,plain,
    ! [SV166: $i,SV200: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ( ~ ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) )
        = $false )
      | ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
        = $false )
      | ( ( coll @ SV28 @ SV76 @ SV124 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[829]) ).

thf(844,plain,
    ! [SV28: $i,SV200: $i,SV124: $i,SV76: $i,SV166: $i] :
      ( ( ( ~ ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) ) )
        = $false )
      | ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
        = $false )
      | ( ( coll @ SV28 @ SV76 @ SV124 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[829]) ).

thf(845,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
                | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) ) )
        = $false )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[832]) ).

thf(846,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 ) )
        = $false )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[832]) ).

thf(847,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                      | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
          | ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[833]) ).

thf(848,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
              | ~ ( coll @ SV208 @ SV44 @ SV140 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV208 @ SV92 @ SV179 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[834]) ).

thf(849,plain,
    ! [SV46: $i,SV142: $i,SV94: $i,SV181: $i,SV210: $i] :
      ( ( ( coll @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV181 @ SV210 )
        = $true )
      | ( ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
        = $false )
      | ( ( coll @ SV94 @ SV181 @ SV210 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[835]) ).

thf(850,plain,
    ! [SV46: $i,SV142: $i,SV94: $i,SV181: $i,SV210: $i] :
      ( ( ( perp @ ( sK24_SY1022 @ SV210 @ SV181 @ SV94 @ SV142 @ SV46 ) @ SV46 @ SV181 @ SV210 )
        = $true )
      | ( ( perp @ SV46 @ SV142 @ SV142 @ SV94 )
        = $false )
      | ( ( coll @ SV94 @ SV181 @ SV210 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[836]) ).

thf(851,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
          | ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
        = $true )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[838]) ).

thf(852,plain,
    ! [SV105: $i,SV9: $i,SV151: $i,SV57: $i,SV188: $i] :
      ( ( ( midp @ SV188 @ SV57 @ SV151 )
        = $false )
      | ( ( perp @ SV9 @ SV57 @ SV9 @ SV105 )
        = $false )
      | ( ( perp @ SV105 @ SV9 @ SV105 @ SV151 )
        = $false )
      | ( ( midp @ ( sK22_SY984 @ SV188 @ SV151 @ SV105 @ SV57 @ SV9 ) @ SV9 @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(853,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ( ~ ( midp @ SV189 @ SV11 @ SV59 )
              | ~ ( midp @ SV214 @ SV107 @ SV152 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV107 @ SV11 @ SV59 ) )
        = $true )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[840]) ).

thf(854,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ( ~ ( midp @ SV232 @ SV26 @ SV74 )
              | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) ) )
        = $false )
      | ( ( ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
        = $true )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[841]) ).

thf(855,plain,
    ! [SV165: $i,SV123: $i,SV75: $i,SV27: $i,SV248: $i,SV247: $i,SV246: $i,SV245: $i,SV240: $i,SV233: $i,SV221: $i,SV199: $i] :
      ( ( ( eqangle @ SV199 @ SV221 @ SV233 @ SV240 @ SV245 @ SV246 @ SV247 @ SV248 )
        = $false )
      | ( ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV199 @ SV221 @ SV233 @ SV240 )
        = $false )
      | ( ( eqangle @ SV27 @ SV75 @ SV123 @ SV165 @ SV245 @ SV246 @ SV247 @ SV248 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[842]) ).

thf(856,plain,
    ! [SV166: $i,SV200: $i,SV76: $i,SV124: $i,SV28: $i] :
      ( ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) @ SV76 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
        = $true )
      | ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
        = $false )
      | ( ( coll @ SV28 @ SV76 @ SV124 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[843]) ).

thf(857,plain,
    ! [SV28: $i,SV200: $i,SV124: $i,SV76: $i,SV166: $i] :
      ( ( ( cyclic @ SV166 @ SV76 @ SV124 @ ( sK23_SY1007 @ SV200 @ SV166 @ SV76 @ SV124 @ SV28 ) )
        = $true )
      | ( ( eqangle @ SV28 @ SV124 @ SV76 @ SV124 @ SV28 @ SV166 @ SV76 @ SV200 )
        = $false )
      | ( ( coll @ SV28 @ SV76 @ SV124 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[844]) ).

thf(858,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( ~ ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
              | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) ) )
        = $true )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[845]) ).

thf(859,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV225 @ SV38 @ SV134 )
        = $true )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[846]) ).

thf(860,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                      | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
                | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[847]) ).

thf(861,plain,
    ! [SV42: $i,SV177: $i,SV138: $i,SV90: $i] :
      ( ( ( ~ ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[847]) ).

thf(862,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 )
          | ~ ( coll @ SV208 @ SV44 @ SV140 ) )
        = $true )
      | ( ( ~ ( coll @ SV208 @ SV92 @ SV179 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[848]) ).

thf(863,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
                | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) ) )
        = $true )
      | ( ( ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
        = $true )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[851]) ).

thf(864,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ( midp @ SV189 @ SV11 @ SV59 )
          | ~ ( midp @ SV214 @ SV107 @ SV152 ) )
        = $true )
      | ( ( ~ ( coll @ SV107 @ SV11 @ SV59 ) )
        = $true )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[853]) ).

thf(865,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ( midp @ SV232 @ SV26 @ SV74 )
          | ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
        = $true )
      | ( ( ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
        = $true )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[854]) ).

thf(866,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
          | ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
        = $false )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(867,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                    | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
              | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) ) )
        = $true )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[860]) ).

thf(868,plain,
    ! [SV42: $i,SV177: $i,SV138: $i,SV90: $i] :
      ( ( ( perp @ SV90 @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 )
        = $true )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[861]) ).

thf(869,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( ~ ( para @ SV44 @ SV92 @ SV140 @ SV179 ) )
        = $true )
      | ( ( ~ ( coll @ SV208 @ SV44 @ SV140 ) )
        = $true )
      | ( ( ~ ( coll @ SV208 @ SV92 @ SV179 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[862]) ).

thf(870,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
              | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) ) )
        = $false )
      | ( ( ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
        = $true )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[863]) ).

thf(871,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( ~ ( midp @ SV189 @ SV11 @ SV59 ) )
        = $true )
      | ( ( ~ ( midp @ SV214 @ SV107 @ SV152 ) )
        = $true )
      | ( ( ~ ( coll @ SV107 @ SV11 @ SV59 ) )
        = $true )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[864]) ).

thf(872,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( ~ ( midp @ SV232 @ SV26 @ SV74 ) )
        = $true )
      | ( ( ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
        = $true )
      | ( ( ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
        = $true )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[865]) ).

thf(873,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( ~ ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 ) )
        = $false )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[866]) ).

thf(874,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( ~ ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 ) )
        = $false )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[866]) ).

thf(875,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
          | ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(876,plain,
    ! [SV227: $i,SV208: $i,SV179: $i,SV140: $i,SV92: $i,SV44: $i] :
      ( ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( ~ ( coll @ SV208 @ SV44 @ SV140 ) )
        = $true )
      | ( ( ~ ( coll @ SV208 @ SV92 @ SV179 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(877,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
          | ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
        = $true )
      | ( ( ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
        = $true )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[870]) ).

thf(878,plain,
    ! [SV229: $i,SV152: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV189: $i] :
      ( ( ( midp @ SV189 @ SV11 @ SV59 )
        = $false )
      | ( ( ~ ( midp @ SV214 @ SV107 @ SV152 ) )
        = $true )
      | ( ( ~ ( coll @ SV107 @ SV11 @ SV59 ) )
        = $true )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(879,plain,
    ! [SV198: $i,SV220: $i,SV164: $i,SV74: $i,SV26: $i,SV232: $i] :
      ( ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( ~ ( para @ SV26 @ SV164 @ SV220 @ SV232 ) )
        = $true )
      | ( ( ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
        = $true )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(880,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( midp @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV38 @ SV175 )
        = $true )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[873]) ).

thf(881,plain,
    ! [SV205: $i,SV38: $i,SV86: $i,SV225: $i,SV134: $i,SV175: $i] :
      ( ( ( para @ ( sK26_SY1046 @ SV175 @ SV134 @ SV225 @ SV86 @ SV38 @ SV205 ) @ SV205 @ SV86 @ SV175 )
        = $true )
      | ( ( midp @ SV205 @ SV38 @ SV86 )
        = $false )
      | ( ( midp @ SV225 @ SV134 @ SV175 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[874]) ).

thf(882,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
                | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[875]) ).

thf(883,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[875]) ).

thf(884,plain,
    ! [SV227: $i,SV179: $i,SV92: $i,SV140: $i,SV44: $i,SV208: $i] :
      ( ( ( coll @ SV208 @ SV44 @ SV140 )
        = $false )
      | ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( ~ ( coll @ SV208 @ SV92 @ SV179 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(885,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( ~ ( circle @ SV185 @ SV3 @ SV51 @ SV99 ) )
        = $true )
      | ( ( ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
        = $true )
      | ( ( ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
        = $true )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[877]) ).

thf(886,plain,
    ! [SV229: $i,SV59: $i,SV11: $i,SV189: $i,SV152: $i,SV107: $i,SV214: $i] :
      ( ( ( midp @ SV214 @ SV107 @ SV152 )
        = $false )
      | ( ( midp @ SV189 @ SV11 @ SV59 )
        = $false )
      | ( ( ~ ( coll @ SV107 @ SV11 @ SV59 ) )
        = $true )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(887,plain,
    ! [SV198: $i,SV74: $i,SV232: $i,SV220: $i,SV164: $i,SV26: $i] :
      ( ( ( para @ SV26 @ SV164 @ SV220 @ SV232 )
        = $false )
      | ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( ~ ( para @ SV26 @ SV164 @ SV74 @ SV198 ) )
        = $true )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(888,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
              | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) ) )
        = $true )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[882]) ).

thf(889,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( coll @ ( sK30_SY1047 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV42 )
        = $true )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[883]) ).

thf(890,plain,
    ! [SV227: $i,SV140: $i,SV44: $i,SV179: $i,SV92: $i,SV208: $i] :
      ( ( ( coll @ SV208 @ SV92 @ SV179 )
        = $false )
      | ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( coll @ SV208 @ SV44 @ SV140 )
        = $false )
      | ( ( ~ ( coll @ SV227 @ SV44 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[884]) ).

thf(891,plain,
    ! [SV213: $i,SV146: $i,SV99: $i,SV51: $i,SV3: $i,SV185: $i] :
      ( ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( ~ ( cong @ SV185 @ SV3 @ SV185 @ SV146 ) )
        = $true )
      | ( ( ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
        = $true )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[885]) ).

thf(892,plain,
    ! [SV229: $i,SV152: $i,SV214: $i,SV189: $i,SV59: $i,SV11: $i,SV107: $i] :
      ( ( ( coll @ SV107 @ SV11 @ SV59 )
        = $false )
      | ( ( midp @ SV189 @ SV11 @ SV59 )
        = $false )
      | ( ( midp @ SV214 @ SV107 @ SV152 )
        = $false )
      | ( ( ~ ( coll @ SV152 @ SV11 @ SV59 ) )
        = $true )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(893,plain,
    ! [SV220: $i,SV232: $i,SV198: $i,SV74: $i,SV164: $i,SV26: $i] :
      ( ( ( para @ SV26 @ SV164 @ SV74 @ SV198 )
        = $false )
      | ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV220 @ SV232 )
        = $false )
      | ( ( ~ ( coll @ SV164 @ SV198 @ SV220 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[887]) ).

thf(894,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
          | ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[888]) ).

thf(895,plain,
    ! [SV179: $i,SV140: $i,SV208: $i,SV92: $i,SV44: $i,SV227: $i] :
      ( ( ( coll @ SV227 @ SV44 @ SV92 )
        = $false )
      | ( ( coll @ SV208 @ SV44 @ SV140 )
        = $false )
      | ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( coll @ SV208 @ SV92 @ SV179 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
              | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(896,plain,
    ! [SV213: $i,SV99: $i,SV51: $i,SV146: $i,SV3: $i,SV185: $i] :
      ( ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( ~ ( cong @ SV213 @ SV3 @ SV213 @ SV51 ) )
        = $true )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[891]) ).

thf(897,plain,
    ! [SV229: $i,SV189: $i,SV107: $i,SV214: $i,SV59: $i,SV11: $i,SV152: $i] :
      ( ( ( coll @ SV152 @ SV11 @ SV59 )
        = $false )
      | ( ( midp @ SV214 @ SV107 @ SV152 )
        = $false )
      | ( ( midp @ SV189 @ SV11 @ SV59 )
        = $false )
      | ( ( coll @ SV107 @ SV11 @ SV59 )
        = $false )
      | ( ( midp @ ( sK28_SY1053 @ SV229 @ SV152 @ SV107 @ SV214 @ SV59 @ SV11 @ SV189 ) @ SV11 @ SV229 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(898,plain,
    ! [SV74: $i,SV232: $i,SV26: $i,SV220: $i,SV198: $i,SV164: $i] :
      ( ( ( coll @ SV164 @ SV198 @ SV220 )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV220 @ SV232 )
        = $false )
      | ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV74 @ SV198 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
              | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[893]) ).

thf(899,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( ~ ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[894]) ).

thf(900,plain,
    ! [SV177: $i,SV90: $i,SV138: $i,SV42: $i] :
      ( ( ( ~ ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 ) )
        = $false )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[894]) ).

thf(901,plain,
    ! [SV44: $i,SV92: $i,SV140: $i,SV179: $i,SV227: $i,SV208: $i] :
      ( ( ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
          | ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) )
        = $false )
      | ( ( coll @ SV208 @ SV92 @ SV179 )
        = $false )
      | ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( coll @ SV208 @ SV44 @ SV140 )
        = $false )
      | ( ( coll @ SV227 @ SV44 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[895]) ).

thf(902,plain,
    ! [SV146: $i,SV99: $i,SV185: $i,SV51: $i,SV3: $i,SV213: $i] :
      ( ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( ~ ( ( SV185 != SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[896]) ).

thf(903,plain,
    ! [SV232: $i,SV26: $i,SV74: $i,SV164: $i,SV220: $i,SV198: $i] :
      ( ( ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
          | ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV74 @ SV198 )
        = $false )
      | ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV220 @ SV232 )
        = $false )
      | ( ( coll @ SV164 @ SV198 @ SV220 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(904,plain,
    ! [SV42: $i,SV177: $i,SV90: $i,SV138: $i] :
      ( ( ( coll @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
        = $true )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[899]) ).

thf(905,plain,
    ! [SV177: $i,SV90: $i,SV138: $i,SV42: $i] :
      ( ( ( perp @ SV42 @ ( sK21_SY964 @ SV138 @ SV90 @ SV177 @ SV42 ) @ SV138 @ SV90 )
        = $true )
      | ( ( perp @ SV42 @ SV177 @ SV90 @ SV138 )
        = $false )
      | ( ( perp @ SV90 @ SV177 @ SV42 @ SV138 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[900]) ).

thf(906,plain,
    ! [SV44: $i,SV92: $i,SV140: $i,SV179: $i,SV227: $i,SV208: $i] :
      ( ( ( ~ ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) ) )
        = $false )
      | ( ( coll @ SV208 @ SV92 @ SV179 )
        = $false )
      | ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( coll @ SV208 @ SV44 @ SV140 )
        = $false )
      | ( ( coll @ SV227 @ SV44 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[901]) ).

thf(907,plain,
    ! [SV44: $i,SV92: $i,SV140: $i,SV179: $i,SV208: $i,SV227: $i] :
      ( ( ( ~ ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 ) )
        = $false )
      | ( ( coll @ SV208 @ SV92 @ SV179 )
        = $false )
      | ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( coll @ SV208 @ SV44 @ SV140 )
        = $false )
      | ( ( coll @ SV227 @ SV44 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[901]) ).

thf(908,plain,
    ! [SV99: $i,SV51: $i,SV146: $i,SV3: $i,SV213: $i,SV185: $i] :
      ( ( ( SV185 != SV213 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(909,plain,
    ! [SV232: $i,SV26: $i,SV74: $i,SV164: $i,SV220: $i,SV198: $i] :
      ( ( ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 ) )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV74 @ SV198 )
        = $false )
      | ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV220 @ SV232 )
        = $false )
      | ( ( coll @ SV164 @ SV198 @ SV220 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[903]) ).

thf(910,plain,
    ! [SV232: $i,SV26: $i,SV74: $i,SV164: $i,SV220: $i,SV198: $i] :
      ( ( ( ~ ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 ) )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV74 @ SV198 )
        = $false )
      | ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV220 @ SV232 )
        = $false )
      | ( ( coll @ SV164 @ SV198 @ SV220 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[903]) ).

thf(911,plain,
    ! [SV44: $i,SV92: $i,SV140: $i,SV179: $i,SV227: $i,SV208: $i] :
      ( ( ( coll @ SV208 @ SV227 @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) )
        = $true )
      | ( ( coll @ SV208 @ SV92 @ SV179 )
        = $false )
      | ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( coll @ SV208 @ SV44 @ SV140 )
        = $false )
      | ( ( coll @ SV227 @ SV44 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[906]) ).

thf(912,plain,
    ! [SV44: $i,SV92: $i,SV140: $i,SV179: $i,SV208: $i,SV227: $i] :
      ( ( ( coll @ ( sK27_SY1050 @ SV227 @ SV208 @ SV179 @ SV140 @ SV92 @ SV44 ) @ SV140 @ SV179 )
        = $true )
      | ( ( coll @ SV208 @ SV92 @ SV179 )
        = $false )
      | ( ( para @ SV44 @ SV92 @ SV140 @ SV179 )
        = $false )
      | ( ( coll @ SV208 @ SV44 @ SV140 )
        = $false )
      | ( ( coll @ SV227 @ SV44 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[907]) ).

thf(913,plain,
    ! [SV99: $i,SV51: $i,SV146: $i,SV3: $i,SV213: $i,SV185: $i] :
      ( ( ( SV185 = SV213 )
        = $true )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                    | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
              | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[908]) ).

thf(914,plain,
    ! [SV232: $i,SV26: $i,SV74: $i,SV164: $i,SV220: $i,SV198: $i] :
      ( ( ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV26 @ SV198 )
        = $true )
      | ( ( para @ SV26 @ SV164 @ SV74 @ SV198 )
        = $false )
      | ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV220 @ SV232 )
        = $false )
      | ( ( coll @ SV164 @ SV198 @ SV220 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[909]) ).

thf(915,plain,
    ! [SV232: $i,SV26: $i,SV74: $i,SV164: $i,SV220: $i,SV198: $i] :
      ( ( ( coll @ ( sK29_SY1056 @ SV198 @ SV220 @ SV164 @ SV74 @ SV26 @ SV232 ) @ SV232 @ SV220 )
        = $true )
      | ( ( para @ SV26 @ SV164 @ SV74 @ SV198 )
        = $false )
      | ( ( midp @ SV232 @ SV26 @ SV74 )
        = $false )
      | ( ( para @ SV26 @ SV164 @ SV220 @ SV232 )
        = $false )
      | ( ( coll @ SV164 @ SV198 @ SV220 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[910]) ).

thf(916,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                      | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
          | ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[913]) ).

thf(917,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                      | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
                | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[916]) ).

thf(918,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[916]) ).

thf(919,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                    | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
              | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) ) )
        = $true )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[917]) ).

thf(920,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( cong @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 )
        = $true )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[918]) ).

thf(921,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
          | ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[919]) ).

thf(922,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
                | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[921]) ).

thf(923,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[921]) ).

thf(924,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
              | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) ) )
        = $true )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[922]) ).

thf(925,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( coll @ ( sK31_SY1066 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV51 @ SV146 )
        = $true )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[923]) ).

thf(926,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
          | ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(927,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[926]) ).

thf(928,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( ~ ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 ) )
        = $false )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[926]) ).

thf(929,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( coll @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV3 @ SV99 )
        = $true )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[927]) ).

thf(930,plain,
    ! [SV185: $i,SV3: $i,SV51: $i,SV99: $i,SV146: $i,SV213: $i] :
      ( ( ( cong @ ( sK25_SY1026 @ SV213 @ SV146 @ SV99 @ SV51 @ SV3 @ SV185 ) @ SV213 @ SV213 @ SV3 )
        = $true )
      | ( ( cong @ SV213 @ SV3 @ SV213 @ SV51 )
        = $false )
      | ( ( circle @ SV185 @ SV3 @ SV51 @ SV99 )
        = $false )
      | ( ( cong @ SV185 @ SV3 @ SV185 @ SV146 )
        = $false )
      | ( ( SV185 = SV213 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[928]) ).

thf(931,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[222,930,929,925,920,915,914,912,911,905,904,897,889,881,880,868,859,857,856,855,852,850,849,837,831,830,826,825,822,821,807,806,801,793,789,750,739,736,732,731,726,718,714,713,709,705,704,703,694,688,682,656,653,629,622,618,551,514,513,497,495,483,477,474,281,231,230,229,228,227,226,225,224,223]) ).

thf(932,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[931]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO613+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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18  % Computer : n018.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Oct  6 10:22:06 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.97/8.17  
% 38.97/8.17   No.of.Axioms: 48
% 38.97/8.17  
% 38.97/8.17   Length.of.Defs: 0
% 38.97/8.17  
% 38.97/8.17   Contains.Choice.Funs: false
% 38.97/8.17  .......................................................
% 38.97/8.17  
% 38.97/8.17  ********************************
% 38.97/8.17  *   All subproblems solved!    *
% 38.97/8.17  ********************************
% 38.97/8.17  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:58,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:931,loop_count:0,foatp_calls:1,translation:fof_full)
% 38.97/8.17  
% 38.97/8.17  %**** Beginning of derivation protocol ****
% 38.97/8.17  % SZS output start CNFRefutation
% See solution above
% 38.97/8.19  
% 38.97/8.19  %**** End of derivation protocol ****
% 38.97/8.19  %**** no. of clauses in derivation: 886 ****
% 38.97/8.19  %**** clause counter: 931 ****
% 38.97/8.19  
% 38.97/8.19  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:58,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:931,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------