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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : GEO598+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.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 10:19:19 AM UTC 2026

% Result   : Theorem 120.01s 20.38s
% Output   : CNFRefutation 120.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   61
% Syntax   : Number of formulae    : 1060 ( 567 unt;   0 typ;   0 def)
%            Number of atoms       : 7449 (1871 equ;   0 cnn)
%            Maximal formula atoms :    9 (   7 avg)
%            Number of connectives : 25206 (4050   ~;2239   |; 307   &;18417   @)
%                                         (   0 <=>; 193  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   42 (  39 usr;  12 con; 0-8 aty)
%            Number of variables   : 5573 (   0   ^;5519   !;  54   ?;5573   :)

% 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_SY877,type,
    sK11_SY877: $i > $i > $i > $i ).

thf(tp_sK12_SY972,type,
    sK12_SY972: $i > $i > $i > $i > $i ).

thf(tp_sK13_SY984,type,
    sK13_SY984: $i > $i > $i > $i > $i ).

thf(tp_sK14_SY1005,type,
    sK14_SY1005: $i > $i > $i > $i > $i ).

thf(tp_sK15_SY1006,type,
    sK15_SY1006: $i > $i > $i > $i > $i ).

thf(tp_sK16_SY1009,type,
    sK16_SY1009: $i > $i > $i > $i > $i ).

thf(tp_sK17_SY1029,type,
    sK17_SY1029: $i > $i > $i > $i > $i ).

thf(tp_sK18_SY1033,type,
    sK18_SY1033: $i > $i > $i > $i > $i ).

thf(tp_sK19_SY1062,type,
    sK19_SY1062: $i > $i > $i > $i > $i > $i ).

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

thf(tp_sK20_SY1078,type,
    sK20_SY1078: $i > $i > $i > $i > $i > $i ).

thf(tp_sK21_SY1087,type,
    sK21_SY1087: $i > $i > $i > $i > $i > $i ).

thf(tp_sK22_SY1099,type,
    sK22_SY1099: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK23_SY1116,type,
    sK23_SY1116: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK24_SY1117,type,
    sK24_SY1117: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK25_SY1124,type,
    sK25_SY1124: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK26_SY1101,type,
    sK26_SY1101: $i > $i > $i > $i > $i ).

thf(tp_sK27_SY1133,type,
    sK27_SY1133: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK28_SY1137,type,
    sK28_SY1137: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK2_SY327,type,
    sK2_SY327: $i ).

thf(tp_sK3_SY336,type,
    sK3_SY336: $i ).

thf(tp_sK4_SY344,type,
    sK4_SY344: $i ).

thf(tp_sK5_SY351,type,
    sK5_SY351: $i ).

thf(tp_sK6_SY357,type,
    sK6_SY357: $i ).

thf(tp_sK7_SY362,type,
    sK7_SY362: $i ).

thf(tp_sK8_SY366,type,
    sK8_SY366: $i ).

thf(tp_sK9_SY369,type,
    sK9_SY369: $i ).

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

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

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

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

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

thf(5,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
    ? [O: $i] :
      ( ( ( perp @ A @ C @ C @ B )
        & ( cyclic @ A @ B @ C @ D ) )
     => ( circle @ O @ A @ B @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX14) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(95,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,NWPNT1: $i] :
      ( ( ( circle @ D @ A @ B @ C )
        & ( midp @ E @ C @ B )
        & ( midp @ F @ A @ C )
        & ( midp @ G @ B @ A )
        & ( coll @ H @ D @ G )
        & ( circle @ D @ A @ H @ NWPNT1 )
        & ( perp @ I @ H @ A @ C )
        & ( coll @ I @ A @ C ) )
     => ( eqangle @ F @ G @ G @ I @ I @ G @ G @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416060) ).

thf(96,negated_conjecture,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,NWPNT1: $i] :
          ( ( ( circle @ D @ A @ B @ C )
            & ( midp @ E @ C @ B )
            & ( midp @ F @ A @ C )
            & ( midp @ G @ B @ A )
            & ( coll @ H @ D @ G )
            & ( circle @ D @ A @ H @ NWPNT1 )
            & ( perp @ I @ H @ A @ C )
            & ( coll @ I @ A @ C ) )
         => ( eqangle @ F @ G @ G @ I @ I @ G @ G @ E ) ) )
    = $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,I: $i,NWPNT1: $i] :
          ( ( ( circle @ D @ A @ B @ C )
            & ( midp @ E @ C @ B )
            & ( midp @ F @ A @ C )
            & ( midp @ G @ B @ A )
            & ( coll @ H @ D @ G )
            & ( circle @ D @ A @ H @ NWPNT1 )
            & ( perp @ I @ H @ A @ C )
            & ( coll @ I @ A @ C ) )
         => ( eqangle @ F @ G @ G @ I @ I @ G @ G @ E ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[96]) ).

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

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

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

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

thf(102,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
        ? [O: $i] :
          ( ( ( perp @ A @ C @ C @ B )
            & ( cyclic @ A @ B @ C @ D ) )
         => ( circle @ O @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(103,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(104,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(105,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(106,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(107,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(108,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(109,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(110,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
        ? [M: $i] :
          ( ( ( perp @ O @ X @ A @ B )
            & ( cong @ O @ A @ O @ B ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ M @ O @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(111,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(112,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(113,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(114,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( perp @ P @ Q @ U @ V ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(115,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(116,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
            & ~ ( perp @ A @ B @ C @ D ) )
         => ( para @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(117,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
            & ~ ( para @ A @ B @ C @ D ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(118,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(119,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(120,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(121,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(122,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(123,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(124,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(125,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(126,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(127,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( cong @ A @ P @ B @ P )
            & ( cong @ A @ Q @ B @ Q ) )
         => ( perp @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(128,plain,
    ( ( ! [A: $i,B: $i,M: $i,O: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( perp @ O @ M @ A @ B ) )
         => ( cong @ O @ A @ O @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(129,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(130,plain,
    ( ( ! [A: $i,B: $i,C: $i,M: $i] :
          ( ( ( perp @ A @ B @ B @ C )
            & ( midp @ M @ A @ C ) )
         => ( cong @ A @ M @ B @ M ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(131,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(132,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(133,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(134,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(135,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(136,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(137,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(138,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(139,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(140,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(141,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(142,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(143,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(144,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(145,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(146,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(147,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(148,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(149,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( cong @ O @ A @ O @ C ) )
         => ( circle @ O @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

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

thf(151,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( perp @ C @ D @ E @ F ) )
         => ( perp @ A @ B @ E @ F ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(152,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( perp @ A @ B @ C @ D )
            & ( perp @ C @ D @ E @ F ) )
         => ( para @ A @ B @ E @ F ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(153,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( perp @ A @ B @ C @ D )
         => ( perp @ C @ D @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(154,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( perp @ A @ B @ C @ D )
         => ( perp @ A @ B @ D @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(155,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(156,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(157,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(158,plain,
    ( ( ! [SY327: $i,SY328: $i,SY329: $i,SY330: $i,SY331: $i,SY332: $i,SY333: $i,SY334: $i,SY335: $i] :
          ( ( ( circle @ SY329 @ sK1_A @ SY327 @ SY328 )
            & ( midp @ SY330 @ SY328 @ SY327 )
            & ( midp @ SY331 @ sK1_A @ SY328 )
            & ( midp @ SY332 @ SY327 @ sK1_A )
            & ( coll @ SY333 @ SY329 @ SY332 )
            & ( circle @ SY329 @ sK1_A @ SY333 @ SY335 )
            & ( perp @ SY334 @ SY333 @ sK1_A @ SY328 )
            & ( coll @ SY334 @ sK1_A @ SY328 ) )
         => ( eqangle @ SY331 @ SY332 @ SY332 @ SY334 @ SY334 @ SY332 @ SY332 @ SY330 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[97]) ).

thf(159,plain,
    ( ( ! [SY336: $i,SY337: $i,SY338: $i,SY339: $i,SY340: $i,SY341: $i,SY342: $i,SY343: $i] :
          ( ( ( circle @ SY337 @ sK1_A @ sK2_SY327 @ SY336 )
            & ( midp @ SY338 @ SY336 @ sK2_SY327 )
            & ( midp @ SY339 @ sK1_A @ SY336 )
            & ( midp @ SY340 @ sK2_SY327 @ sK1_A )
            & ( coll @ SY341 @ SY337 @ SY340 )
            & ( circle @ SY337 @ sK1_A @ SY341 @ SY343 )
            & ( perp @ SY342 @ SY341 @ sK1_A @ SY336 )
            & ( coll @ SY342 @ sK1_A @ SY336 ) )
         => ( eqangle @ SY339 @ SY340 @ SY340 @ SY342 @ SY342 @ SY340 @ SY340 @ SY338 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[158]) ).

thf(160,plain,
    ( ( ! [SY344: $i,SY345: $i,SY346: $i,SY347: $i,SY348: $i,SY349: $i,SY350: $i] :
          ( ( ( circle @ SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
            & ( midp @ SY345 @ sK3_SY336 @ sK2_SY327 )
            & ( midp @ SY346 @ sK1_A @ sK3_SY336 )
            & ( midp @ SY347 @ sK2_SY327 @ sK1_A )
            & ( coll @ SY348 @ SY344 @ SY347 )
            & ( circle @ SY344 @ sK1_A @ SY348 @ SY350 )
            & ( perp @ SY349 @ SY348 @ sK1_A @ sK3_SY336 )
            & ( coll @ SY349 @ sK1_A @ sK3_SY336 ) )
         => ( eqangle @ SY346 @ SY347 @ SY347 @ SY349 @ SY349 @ SY347 @ SY347 @ SY345 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[159]) ).

thf(161,plain,
    ( ( ! [SY351: $i,SY352: $i,SY353: $i,SY354: $i,SY355: $i,SY356: $i] :
          ( ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
            & ( midp @ SY351 @ sK3_SY336 @ sK2_SY327 )
            & ( midp @ SY352 @ sK1_A @ sK3_SY336 )
            & ( midp @ SY353 @ sK2_SY327 @ sK1_A )
            & ( coll @ SY354 @ sK4_SY344 @ SY353 )
            & ( circle @ sK4_SY344 @ sK1_A @ SY354 @ SY356 )
            & ( perp @ SY355 @ SY354 @ sK1_A @ sK3_SY336 )
            & ( coll @ SY355 @ sK1_A @ sK3_SY336 ) )
         => ( eqangle @ SY352 @ SY353 @ SY353 @ SY355 @ SY355 @ SY353 @ SY353 @ SY351 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[160]) ).

thf(162,plain,
    ( ( ! [SY357: $i,SY358: $i,SY359: $i,SY360: $i,SY361: $i] :
          ( ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
            & ( midp @ sK5_SY351 @ sK3_SY336 @ sK2_SY327 )
            & ( midp @ SY357 @ sK1_A @ sK3_SY336 )
            & ( midp @ SY358 @ sK2_SY327 @ sK1_A )
            & ( coll @ SY359 @ sK4_SY344 @ SY358 )
            & ( circle @ sK4_SY344 @ sK1_A @ SY359 @ SY361 )
            & ( perp @ SY360 @ SY359 @ sK1_A @ sK3_SY336 )
            & ( coll @ SY360 @ sK1_A @ sK3_SY336 ) )
         => ( eqangle @ SY357 @ SY358 @ SY358 @ SY360 @ SY360 @ SY358 @ SY358 @ sK5_SY351 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[161]) ).

thf(163,plain,
    ( ( ! [SY362: $i,SY363: $i,SY364: $i,SY365: $i] :
          ( ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
            & ( midp @ sK5_SY351 @ sK3_SY336 @ sK2_SY327 )
            & ( midp @ sK6_SY357 @ sK1_A @ sK3_SY336 )
            & ( midp @ SY362 @ sK2_SY327 @ sK1_A )
            & ( coll @ SY363 @ sK4_SY344 @ SY362 )
            & ( circle @ sK4_SY344 @ sK1_A @ SY363 @ SY365 )
            & ( perp @ SY364 @ SY363 @ sK1_A @ sK3_SY336 )
            & ( coll @ SY364 @ sK1_A @ sK3_SY336 ) )
         => ( eqangle @ sK6_SY357 @ SY362 @ SY362 @ SY364 @ SY364 @ SY362 @ SY362 @ sK5_SY351 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[162]) ).

thf(164,plain,
    ( ( ! [SY366: $i,SY367: $i,SY368: $i] :
          ( ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
            & ( midp @ sK5_SY351 @ sK3_SY336 @ sK2_SY327 )
            & ( midp @ sK6_SY357 @ sK1_A @ sK3_SY336 )
            & ( midp @ sK7_SY362 @ sK2_SY327 @ sK1_A )
            & ( coll @ SY366 @ sK4_SY344 @ sK7_SY362 )
            & ( circle @ sK4_SY344 @ sK1_A @ SY366 @ SY368 )
            & ( perp @ SY367 @ SY366 @ sK1_A @ sK3_SY336 )
            & ( coll @ SY367 @ sK1_A @ sK3_SY336 ) )
         => ( eqangle @ sK6_SY357 @ sK7_SY362 @ sK7_SY362 @ SY367 @ SY367 @ sK7_SY362 @ sK7_SY362 @ sK5_SY351 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[163]) ).

thf(165,plain,
    ( ( ! [SY369: $i,SY370: $i] :
          ( ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
            & ( midp @ sK5_SY351 @ sK3_SY336 @ sK2_SY327 )
            & ( midp @ sK6_SY357 @ sK1_A @ sK3_SY336 )
            & ( midp @ sK7_SY362 @ sK2_SY327 @ sK1_A )
            & ( coll @ sK8_SY366 @ sK4_SY344 @ sK7_SY362 )
            & ( circle @ sK4_SY344 @ sK1_A @ sK8_SY366 @ SY370 )
            & ( perp @ SY369 @ sK8_SY366 @ sK1_A @ sK3_SY336 )
            & ( coll @ SY369 @ sK1_A @ sK3_SY336 ) )
         => ( eqangle @ sK6_SY357 @ sK7_SY362 @ sK7_SY362 @ SY369 @ SY369 @ sK7_SY362 @ sK7_SY362 @ sK5_SY351 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[164]) ).

thf(166,plain,
    ( ( ! [SY371: $i] :
          ( ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
            & ( midp @ sK5_SY351 @ sK3_SY336 @ sK2_SY327 )
            & ( midp @ sK6_SY357 @ sK1_A @ sK3_SY336 )
            & ( midp @ sK7_SY362 @ sK2_SY327 @ sK1_A )
            & ( coll @ sK8_SY366 @ sK4_SY344 @ sK7_SY362 )
            & ( circle @ sK4_SY344 @ sK1_A @ sK8_SY366 @ SY371 )
            & ( perp @ sK9_SY369 @ sK8_SY366 @ sK1_A @ sK3_SY336 )
            & ( coll @ sK9_SY369 @ sK1_A @ sK3_SY336 ) )
         => ( eqangle @ sK6_SY357 @ sK7_SY362 @ sK7_SY362 @ sK9_SY369 @ sK9_SY369 @ sK7_SY362 @ sK7_SY362 @ sK5_SY351 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[165]) ).

thf(167,plain,
    ( ( ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
        & ( midp @ sK5_SY351 @ sK3_SY336 @ sK2_SY327 )
        & ( midp @ sK6_SY357 @ sK1_A @ sK3_SY336 )
        & ( midp @ sK7_SY362 @ sK2_SY327 @ sK1_A )
        & ( coll @ sK8_SY366 @ sK4_SY344 @ sK7_SY362 )
        & ( circle @ sK4_SY344 @ sK1_A @ sK8_SY366 @ sK10_SY371 )
        & ( perp @ sK9_SY369 @ sK8_SY366 @ sK1_A @ sK3_SY336 )
        & ( coll @ sK9_SY369 @ sK1_A @ sK3_SY336 ) )
     => ( eqangle @ sK6_SY357 @ sK7_SY362 @ sK7_SY362 @ sK9_SY369 @ sK9_SY369 @ sK7_SY362 @ sK7_SY362 @ sK5_SY351 ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[166]) ).

thf(168,plain,
    ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
    = $true ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(169,plain,
    ( ( midp @ sK5_SY351 @ sK3_SY336 @ sK2_SY327 )
    = $true ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(170,plain,
    ( ( midp @ sK6_SY357 @ sK1_A @ sK3_SY336 )
    = $true ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(171,plain,
    ( ( midp @ sK7_SY362 @ sK2_SY327 @ sK1_A )
    = $true ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(172,plain,
    ( ( coll @ sK8_SY366 @ sK4_SY344 @ sK7_SY362 )
    = $true ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(173,plain,
    ( ( circle @ sK4_SY344 @ sK1_A @ sK8_SY366 @ sK10_SY371 )
    = $true ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(174,plain,
    ( ( perp @ sK9_SY369 @ sK8_SY366 @ sK1_A @ sK3_SY336 )
    = $true ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(175,plain,
    ( ( coll @ sK9_SY369 @ sK1_A @ sK3_SY336 )
    = $true ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(176,plain,
    ( ( eqangle @ sK6_SY357 @ sK7_SY362 @ sK7_SY362 @ sK9_SY369 @ sK9_SY369 @ sK7_SY362 @ sK7_SY362 @ sK5_SY351 )
    = $false ),
    inference(standard_cnf,[status(thm)],[167]) ).

thf(177,plain,
    ( ( ~ ( eqangle @ sK6_SY357 @ sK7_SY362 @ sK7_SY362 @ sK9_SY369 @ sK9_SY369 @ sK7_SY362 @ sK7_SY362 @ sK5_SY351 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[176]) ).

thf(178,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[157]) ).

thf(179,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[156]) ).

thf(180,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)],[155]) ).

thf(181,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( perp @ A @ B @ C @ D )
         => ( perp @ A @ B @ D @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[154]) ).

thf(182,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( perp @ A @ B @ C @ D )
         => ( perp @ C @ D @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[153]) ).

thf(183,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( perp @ A @ B @ C @ D )
            & ( perp @ C @ D @ E @ F ) )
         => ( para @ A @ B @ E @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[152]) ).

thf(184,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( perp @ C @ D @ E @ F ) )
         => ( perp @ A @ B @ E @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[151]) ).

thf(185,plain,
    ( ( ! [A: $i,B: $i,M: $i] :
          ( ( midp @ M @ B @ A )
         => ( midp @ M @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[150]) ).

thf(186,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( cong @ O @ A @ O @ C ) )
         => ( circle @ O @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[149]) ).

thf(187,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)],[148]) ).

thf(188,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[147]) ).

thf(189,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
         => ( eqangle @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[146]) ).

thf(190,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)],[145]) ).

thf(191,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)],[144]) ).

thf(192,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)],[143]) ).

thf(193,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)],[142]) ).

thf(194,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)],[141]) ).

thf(195,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)],[140]) ).

thf(196,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)],[139]) ).

thf(197,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)],[138]) ).

thf(198,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)],[137]) ).

thf(199,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)],[136]) ).

thf(200,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)],[135]) ).

thf(201,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)],[134]) ).

thf(202,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)],[133]) ).

thf(203,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)],[132]) ).

thf(204,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)],[131]) ).

thf(205,plain,
    ( ( ! [A: $i,B: $i,C: $i,M: $i] :
          ( ( ( perp @ A @ B @ B @ C )
            & ( midp @ M @ A @ C ) )
         => ( cong @ A @ M @ B @ M ) ) )
    = $true ),
    inference(copy,[status(thm)],[130]) ).

thf(206,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)],[129]) ).

thf(207,plain,
    ( ( ! [A: $i,B: $i,M: $i,O: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( perp @ O @ M @ A @ B ) )
         => ( cong @ O @ A @ O @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(208,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( cong @ A @ P @ B @ P )
            & ( cong @ A @ Q @ B @ Q ) )
         => ( perp @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[127]) ).

thf(209,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)],[126]) ).

thf(210,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)],[125]) ).

thf(211,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)],[124]) ).

thf(212,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)],[123]) ).

thf(213,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(214,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)],[121]) ).

thf(215,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(216,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(217,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)],[118]) ).

thf(218,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
            & ~ ( para @ A @ B @ C @ D ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(219,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
            & ~ ( perp @ A @ B @ C @ D ) )
         => ( para @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(220,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)],[115]) ).

thf(221,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)],[114]) ).

thf(222,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)],[113]) ).

thf(223,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)],[112]) ).

thf(224,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)],[111]) ).

thf(225,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
        ? [M: $i] :
          ( ( ( perp @ O @ X @ A @ B )
            & ( cong @ O @ A @ O @ B ) )
         => ( ( coll @ B @ A @ M )
            & ( coll @ M @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(226,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)],[109]) ).

thf(227,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)],[108]) ).

thf(228,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)],[107]) ).

thf(229,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)],[106]) ).

thf(230,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)],[105]) ).

thf(231,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)],[104]) ).

thf(232,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)],[103]) ).

thf(233,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
        ? [O: $i] :
          ( ( ( perp @ A @ C @ C @ B )
            & ( cyclic @ A @ B @ C @ D ) )
         => ( circle @ O @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(234,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
        ? [P: $i] :
          ( ( ( perp @ A @ C @ C @ B )
            & ( coll @ B @ E @ F ) )
         => ( ( coll @ P @ E @ F )
            & ( perp @ P @ A @ E @ F ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(235,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
        ? [P: $i] :
          ( ( ( perp @ A @ B @ A @ C )
            & ( perp @ C @ A @ C @ D )
            & ( midp @ M @ B @ D ) )
         => ( midp @ P @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(236,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
        ? [C: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( perp @ A @ O @ O @ B ) )
         => ( ( coll @ A @ O @ C )
            & ( cong @ O @ A @ O @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(237,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(238,plain,
    ( ( coll @ sK9_SY369 @ sK1_A @ sK3_SY336 )
    = $true ),
    inference(copy,[status(thm)],[175]) ).

thf(239,plain,
    ( ( perp @ sK9_SY369 @ sK8_SY366 @ sK1_A @ sK3_SY336 )
    = $true ),
    inference(copy,[status(thm)],[174]) ).

thf(240,plain,
    ( ( circle @ sK4_SY344 @ sK1_A @ sK8_SY366 @ sK10_SY371 )
    = $true ),
    inference(copy,[status(thm)],[173]) ).

thf(241,plain,
    ( ( coll @ sK8_SY366 @ sK4_SY344 @ sK7_SY362 )
    = $true ),
    inference(copy,[status(thm)],[172]) ).

thf(242,plain,
    ( ( midp @ sK7_SY362 @ sK2_SY327 @ sK1_A )
    = $true ),
    inference(copy,[status(thm)],[171]) ).

thf(243,plain,
    ( ( midp @ sK6_SY357 @ sK1_A @ sK3_SY336 )
    = $true ),
    inference(copy,[status(thm)],[170]) ).

thf(244,plain,
    ( ( midp @ sK5_SY351 @ sK3_SY336 @ sK2_SY327 )
    = $true ),
    inference(copy,[status(thm)],[169]) ).

thf(245,plain,
    ( ( circle @ sK4_SY344 @ sK1_A @ sK2_SY327 @ sK3_SY336 )
    = $true ),
    inference(copy,[status(thm)],[168]) ).

thf(246,plain,
    ( ( ~ ( eqangle @ sK6_SY357 @ sK7_SY362 @ sK7_SY362 @ sK9_SY369 @ sK9_SY369 @ sK7_SY362 @ sK7_SY362 @ sK5_SY351 ) )
    = $true ),
    inference(copy,[status(thm)],[177]) ).

thf(247,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)],[229]) ).

thf(248,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)],[232]) ).

thf(249,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)],[198]) ).

thf(250,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)],[230]) ).

thf(251,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX2 @ SX3 @ SX0 @ SX1 )
                | ~ ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 ) )
          | ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(252,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)],[191]) ).

thf(253,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)],[234]) ).

thf(254,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(255,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)],[223]) ).

thf(256,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)],[196]) ).

thf(257,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)],[193]) ).

thf(258,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)],[210]) ).

thf(259,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)],[220]) ).

thf(260,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)],[202]) ).

thf(261,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)],[214]) ).

thf(262,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)],[197]) ).

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 )
          | ( eqangle @ SX0 @ SX1 @ SX4 @ SX5 @ SX2 @ SX3 @ SX6 @ SX7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(264,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ! [SX3: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                      | ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 ) )
                | ~ ( ~ ( coll @ SX0 @ SX2 @ SX3 )
                    | ~ ( cong @ SX2 @ SX0 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(265,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)],[203]) ).

thf(266,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)],[201]) ).

thf(267,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)],[209]) ).

thf(268,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)],[217]) ).

thf(269,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)],[206]) ).

thf(270,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX2 @ SX1 @ SX0 )
          | ( midp @ SX2 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(271,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)],[200]) ).

thf(272,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(273,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( midp @ SX2 @ SX0 @ SX1 )
                | ~ ( perp @ SX3 @ SX2 @ SX0 @ SX1 ) )
          | ( cong @ SX3 @ SX0 @ SX3 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(274,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)],[224]) ).

thf(275,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 )
                      | ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) )
                | ( circle @ SX4 @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[233]) ).

thf(276,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( perp @ SX2 @ SX3 @ SX4 @ SX5 ) )
          | ( perp @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(277,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)],[222]) ).

thf(278,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( cong @ SX0 @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(279,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( perp @ SX2 @ SX3 @ SX4 @ SX5 ) )
          | ( para @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(280,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)],[212]) ).

thf(281,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)],[194]) ).

thf(282,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)],[187]) ).

thf(283,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( cong @ SX0 @ SX2 @ SX1 @ SX2 )
                | ~ ( cong @ SX0 @ SX3 @ SX1 @ SX3 ) )
          | ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(284,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)],[199]) ).

thf(285,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)],[226]) ).

thf(286,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)],[228]) ).

thf(287,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)],[227]) ).

thf(288,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)],[211]) ).

thf(289,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)],[192]) ).

thf(290,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)],[186]) ).

thf(291,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ! [SX4: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
                      | ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 ) )
                | ~ ( ~ ( coll @ SX1 @ SX0 @ SX4 )
                    | ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(292,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)],[237]) ).

thf(293,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( perp @ SX0 @ SX1 @ SX3 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(294,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( para @ SX0 @ SX1 @ SX0 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[213]) ).

thf(295,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)],[231]) ).

thf(296,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)],[195]) ).

thf(297,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)],[235]) ).

thf(298,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)],[204]) ).

thf(299,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( perp @ SX0 @ SX1 @ SX1 @ SX2 )
                | ~ ( midp @ SX3 @ SX0 @ SX2 ) )
          | ( cong @ SX0 @ SX3 @ SX1 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(300,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(301,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)],[180]) ).

thf(302,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)],[221]) ).

thf(303,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)],[189]) ).

thf(304,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX2 @ SX3 @ SX0 @ SX1 )
                | ~ ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) )
          | ( para @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(305,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)],[188]) ).

thf(306,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( perp @ SX2 @ SX3 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(307,plain,
    ( ( eqangle @ sK6_SY357 @ sK7_SY362 @ sK7_SY362 @ sK9_SY369 @ sK9_SY369 @ sK7_SY362 @ sK7_SY362 @ sK5_SY351 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(308,plain,
    ! [SV1: $i] :
      ( ( ! [SY372: $i,SY373: $i,SY374: $i,SY375: $i,SY376: $i,SY377: $i] :
            ~ ! [SY378: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY377 @ SV1 @ SY372 )
                                    | ~ ( para @ SV1 @ SY374 @ SY376 @ SY377 ) )
                              | ~ ( para @ SV1 @ SY374 @ SY372 @ SY375 ) )
                        | ~ ( coll @ SY374 @ SY375 @ SY376 ) )
                  | ~ ( ~ ( coll @ SY378 @ SV1 @ SY375 )
                      | ~ ( coll @ SY378 @ SY377 @ SY376 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(309,plain,
    ! [SV2: $i] :
      ( ( ! [SY379: $i,SY380: $i,SY381: $i,SY382: $i,SY383: $i] :
            ~ ! [SY384: $i] :
                ~ ~ ! [SY385: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY382 @ SV2 @ SY379 @ SY380 )
                                          | ~ ( cong @ SY382 @ SV2 @ SY382 @ SY381 ) )
                                    | ~ ( cong @ SY383 @ SV2 @ SY383 @ SY379 ) )
                              | ~ ( ( SY382 != SY383 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY384 @ SV2 @ SY380 )
                                        | ~ ( cong @ SY384 @ SY383 @ SY383 @ SV2 ) )
                                  | ~ ( coll @ SY385 @ SY379 @ SY381 ) )
                            | ~ ( cong @ SY385 @ SY383 @ SY383 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(310,plain,
    ! [SV3: $i] :
      ( ( ! [SY386: $i,SY387: $i,SY388: $i,SY389: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY388 @ SV3 @ SY386 )
                        | ~ ( para @ SY388 @ SY389 @ SY386 @ SY387 ) )
                  | ~ ( coll @ SY389 @ SV3 @ SY387 ) )
            | ( midp @ SY389 @ SV3 @ SY387 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(311,plain,
    ! [SV4: $i] :
      ( ( ! [SY390: $i,SY391: $i,SY392: $i] :
            ~ ! [SY393: $i] :
                ~ ~ ! [SY394: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV4 @ SY392 @ SY390 @ SY391 )
                              | ~ ( perp @ SY390 @ SY392 @ SV4 @ SY391 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY393 @ SY391 @ SY390 )
                                        | ~ ( perp @ SV4 @ SY393 @ SY391 @ SY390 ) )
                                  | ~ ( coll @ SY394 @ SY391 @ SV4 ) )
                            | ~ ( perp @ SY390 @ SY394 @ SY391 @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(312,plain,
    ! [SV5: $i] :
      ( ( ! [SY395: $i,SY396: $i,SY397: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV5 @ SY395 @ SY396 @ SY397 @ SY396 @ SY397 @ SV5 @ SY395 )
                  | ~ ~ ( para @ SV5 @ SY395 @ SY396 @ SY397 ) )
            | ( perp @ SV5 @ SY395 @ SY396 @ SY397 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(313,plain,
    ! [SV6: $i] :
      ( ( ! [SY398: $i,SY399: $i,SY400: $i,SY401: $i,SY402: $i,SY403: $i,SY404: $i,SY405: $i,SY406: $i,SY407: $i,SY408: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SY398 @ SY399 @ SY400 @ SY401 @ SY402 @ SY403 @ SY404 )
                  | ~ ( eqangle @ SY401 @ SY402 @ SY403 @ SY404 @ SY405 @ SY406 @ SY407 @ SY408 ) )
            | ( eqangle @ SV6 @ SY398 @ SY399 @ SY400 @ SY405 @ SY406 @ SY407 @ SY408 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(314,plain,
    ! [SV7: $i] :
      ( ( ! [SY409: $i,SY410: $i,SY411: $i,SY412: $i] :
            ~ ! [SY413: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV7 @ SY410 @ SY410 @ SY409 )
                        | ~ ( coll @ SY409 @ SY411 @ SY412 ) )
                  | ~ ( ~ ( coll @ SY413 @ SY411 @ SY412 )
                      | ~ ( perp @ SY413 @ SV7 @ SY411 @ SY412 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(315,plain,
    ! [SV8: $i] :
      ( ( ! [SY414: $i,SY415: $i] :
            ( ~ ( coll @ SV8 @ SY414 @ SY415 )
            | ( coll @ SV8 @ SY415 @ SY414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(316,plain,
    ! [SV9: $i] :
      ( ( ! [SY416: $i,SY417: $i,SY418: $i] :
            ~ ! [SY419: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY417 @ SV9 @ SY417 @ SY416 )
                        | ~ ( eqangle @ SV9 @ SY417 @ SY417 @ SY418 @ SY417 @ SY418 @ SY417 @ SY416 ) )
                  | ~ ( ~ ( coll @ SY416 @ SV9 @ SY419 )
                      | ~ ( coll @ SY419 @ SY417 @ SY418 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(317,plain,
    ! [SV10: $i] :
      ( ( ! [SY420: $i,SY421: $i,SY422: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY421 @ SV10 @ SY421 @ SY420 @ SY422 @ SV10 @ SY422 @ SY420 )
                  | ~ ( coll @ SY421 @ SY422 @ SY420 ) )
            | ( cyclic @ SV10 @ SY420 @ SY421 @ SY422 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(318,plain,
    ! [SV11: $i] :
      ( ( ! [SY423: $i,SY424: $i,SY425: $i,SY426: $i,SY427: $i] :
            ( ~ ( para @ SV11 @ SY423 @ SY424 @ SY425 )
            | ( eqangle @ SV11 @ SY423 @ SY426 @ SY427 @ SY424 @ SY425 @ SY426 @ SY427 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(319,plain,
    ! [SV12: $i] :
      ( ( ! [SY428: $i,SY429: $i,SY430: $i,SY431: $i,SY432: $i] :
            ( ~ ( simtri @ SV12 @ SY428 @ SY429 @ SY430 @ SY431 @ SY432 )
            | ( eqangle @ SV12 @ SY428 @ SY428 @ SY429 @ SY430 @ SY431 @ SY431 @ SY432 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(320,plain,
    ! [SV13: $i] :
      ( ( ! [SY433: $i,SY434: $i,SY435: $i,SY436: $i,SY437: $i,SY438: $i,SY439: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV13 @ SY433 @ SY434 @ SY435 @ SY436 @ SY437 @ SY438 @ SY439 )
                  | ~ ( para @ SY436 @ SY437 @ SY438 @ SY439 ) )
            | ( para @ SV13 @ SY433 @ SY434 @ SY435 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(321,plain,
    ! [SV14: $i] :
      ( ( ! [SY440: $i,SY441: $i,SY442: $i,SY443: $i] :
            ( ~ ~ ( ~ ( circle @ SY442 @ SV14 @ SY440 @ SY441 )
                  | ~ ( eqangle @ SV14 @ SY443 @ SV14 @ SY440 @ SY441 @ SV14 @ SY441 @ SY440 ) )
            | ( perp @ SY442 @ SV14 @ SV14 @ SY443 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(322,plain,
    ! [SV15: $i] :
      ( ( ! [SY444: $i,SY445: $i] :
            ( ~ ~ ( ~ ( cong @ SV15 @ SY444 @ SV15 @ SY445 )
                  | ~ ( coll @ SV15 @ SY444 @ SY445 ) )
            | ( midp @ SV15 @ SY444 @ SY445 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(323,plain,
    ! [SV16: $i] :
      ( ( ! [SY446: $i,SY447: $i,SY448: $i,SY449: $i] :
            ( ~ ~ ( ~ ( midp @ SY448 @ SV16 @ SY446 )
                  | ~ ( midp @ SY449 @ SV16 @ SY447 ) )
            | ( para @ SY448 @ SY449 @ SY446 @ SY447 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(324,plain,
    ! [SV17: $i] :
      ( ( ! [SY450: $i,SY451: $i,SY452: $i,SY453: $i,SY454: $i,SY455: $i,SY456: $i] :
            ( ~ ( eqangle @ SV17 @ SY450 @ SY451 @ SY452 @ SY453 @ SY454 @ SY455 @ SY456 )
            | ( eqangle @ SV17 @ SY450 @ SY453 @ SY454 @ SY451 @ SY452 @ SY455 @ SY456 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(325,plain,
    ! [SV18: $i] :
      ( ( ! [SY457: $i,SY458: $i] :
            ~ ! [SY459: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY458 @ SV18 @ SY458 @ SY457 )
                        | ~ ( perp @ SV18 @ SY458 @ SY458 @ SY457 ) )
                  | ~ ( ~ ( coll @ SV18 @ SY458 @ SY459 )
                      | ~ ( cong @ SY458 @ SV18 @ SY458 @ SY459 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(326,plain,
    ! [SV19: $i] :
      ( ( ! [SY460: $i,SY461: $i,SY462: $i,SY463: $i] :
            ( ~ ~ ( ~ ( circle @ SY462 @ SV19 @ SY460 @ SY461 )
                  | ~ ( midp @ SY463 @ SY460 @ SY461 ) )
            | ( eqangle @ SV19 @ SY460 @ SV19 @ SY461 @ SY462 @ SY460 @ SY462 @ SY463 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(327,plain,
    ! [SV20: $i] :
      ( ( ! [SY464: $i,SY465: $i,SY466: $i,SY467: $i] :
            ( ~ ~ ( ~ ( circle @ SY466 @ SV20 @ SY464 @ SY465 )
                  | ~ ( perp @ SY466 @ SV20 @ SV20 @ SY467 ) )
            | ( eqangle @ SV20 @ SY467 @ SV20 @ SY464 @ SY465 @ SV20 @ SY465 @ SY464 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(328,plain,
    ! [SV21: $i] :
      ( ( ! [SY468: $i,SY469: $i,SY470: $i,SY471: $i,SY472: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV21 @ SY468 @ SY468 @ SY469 @ SY470 @ SY471 @ SY471 @ SY472 )
                        | ~ ( eqangle @ SV21 @ SY469 @ SY468 @ SY469 @ SY470 @ SY472 @ SY471 @ SY472 ) )
                  | ~ ~ ( coll @ SV21 @ SY468 @ SY469 ) )
            | ( simtri @ SV21 @ SY468 @ SY469 @ SY470 @ SY471 @ SY472 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(329,plain,
    ! [SV22: $i] :
      ( ( ! [SY473: $i,SY474: $i,SY475: $i,SY476: $i,SY477: $i] :
            ( ~ ~ ( ~ ( midp @ SY476 @ SV22 @ SY473 )
                  | ~ ( midp @ SY477 @ SY474 @ SY475 ) )
            | ( eqratio @ SY476 @ SV22 @ SV22 @ SY473 @ SY477 @ SY474 @ SY474 @ SY475 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(330,plain,
    ! [SV23: $i] :
      ( ( ! [SY478: $i,SY479: $i,SY480: $i] :
            ( ~ ~ ( ~ ( circle @ SY480 @ SV23 @ SY478 @ SY479 )
                  | ~ ( coll @ SY480 @ SV23 @ SY479 ) )
            | ( perp @ SV23 @ SY478 @ SY478 @ SY479 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(331,plain,
    ! [SV24: $i] :
      ( ( ! [SY481: $i,SY482: $i] :
            ( ~ ( midp @ SY482 @ SY481 @ SV24 )
            | ( midp @ SY482 @ SV24 @ SY481 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(332,plain,
    ! [SV25: $i] :
      ( ( ! [SY483: $i,SY484: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY484 @ SV25 @ SV25 @ SY483 @ SV25 @ SY483 @ SY484 @ SY483 )
                  | ~ ~ ( coll @ SY484 @ SV25 @ SY483 ) )
            | ( cong @ SY484 @ SV25 @ SY484 @ SY483 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(333,plain,
    ! [SV26: $i] :
      ( ( ! [SY485: $i,SY486: $i] :
            ( ~ ( coll @ SV26 @ SY485 @ SY486 )
            | ( coll @ SY485 @ SV26 @ SY486 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(334,plain,
    ! [SV27: $i] :
      ( ( ! [SY487: $i,SY488: $i,SY489: $i] :
            ( ~ ~ ( ~ ( midp @ SY488 @ SV27 @ SY487 )
                  | ~ ( perp @ SY489 @ SY488 @ SV27 @ SY487 ) )
            | ( cong @ SY489 @ SV27 @ SY489 @ SY487 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(335,plain,
    ! [SV28: $i] :
      ( ( ! [SY490: $i,SY491: $i,SY492: $i] :
            ~ ! [SY493: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY491 @ SY492 @ SV28 @ SY490 )
                        | ~ ( eqangle @ SV28 @ SY491 @ SY491 @ SY492 @ SY491 @ SY492 @ SY491 @ SY490 ) )
                  | ~ ( ~ ( coll @ SY490 @ SV28 @ SY493 )
                      | ~ ( coll @ SY493 @ SY491 @ SY492 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(336,plain,
    ! [SV29: $i] :
      ( ( ! [SY494: $i,SY495: $i,SY496: $i] :
            ~ ! [SY497: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV29 @ SY495 @ SY495 @ SY494 )
                        | ~ ( cyclic @ SV29 @ SY494 @ SY495 @ SY496 ) )
                  | ( circle @ SY497 @ SV29 @ SY494 @ SY495 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(337,plain,
    ! [SV30: $i] :
      ( ( ! [SY498: $i,SY499: $i,SY500: $i,SY501: $i,SY502: $i] :
            ( ~ ~ ( ~ ( para @ SV30 @ SY498 @ SY499 @ SY500 )
                  | ~ ( perp @ SY499 @ SY500 @ SY501 @ SY502 ) )
            | ( perp @ SV30 @ SY498 @ SY501 @ SY502 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(338,plain,
    ! [SV31: $i] :
      ( ( ! [SY503: $i,SY504: $i,SY505: $i] :
            ~ ! [SY506: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY504 @ SY503 @ SY503 @ SV31 )
                        | ~ ( eqangle @ SY505 @ SY504 @ SY503 @ SY504 @ SY503 @ SY504 @ SV31 @ SY504 ) )
                  | ~ ( ~ ( coll @ SY506 @ SV31 @ SY503 )
                      | ~ ( coll @ SY506 @ SY504 @ SY505 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(339,plain,
    ! [SV32: $i] :
      ( ( ! [SY507: $i,SY508: $i] :
            ( ~ ( midp @ SV32 @ SY507 @ SY508 )
            | ( cong @ SV32 @ SY507 @ SV32 @ SY508 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(340,plain,
    ! [SV33: $i] :
      ( ( ! [SY509: $i,SY510: $i,SY511: $i,SY512: $i,SY513: $i] :
            ( ~ ~ ( ~ ( perp @ SV33 @ SY509 @ SY510 @ SY511 )
                  | ~ ( perp @ SY510 @ SY511 @ SY512 @ SY513 ) )
            | ( para @ SV33 @ SY509 @ SY512 @ SY513 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(341,plain,
    ! [SV34: $i] :
      ( ( ! [SY514: $i,SY515: $i,SY516: $i,SY517: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY517 @ SV34 @ SY514 )
                        | ~ ( para @ SV34 @ SY515 @ SY514 @ SY516 ) )
                  | ~ ( para @ SV34 @ SY516 @ SY514 @ SY515 ) )
            | ( midp @ SY517 @ SY515 @ SY516 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(342,plain,
    ! [SV35: $i] :
      ( ( ! [SY518: $i,SY519: $i,SY520: $i] :
            ( ~ ( cyclic @ SV35 @ SY518 @ SY519 @ SY520 )
            | ( eqangle @ SY519 @ SV35 @ SY519 @ SY518 @ SY520 @ SV35 @ SY520 @ SY518 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(343,plain,
    ! [SV36: $i] :
      ( ( ! [SY521: $i,SY522: $i,SY523: $i,SY524: $i,SY525: $i,SY526: $i,SY527: $i] :
            ( ~ ( eqangle @ SV36 @ SY521 @ SY522 @ SY523 @ SY524 @ SY525 @ SY526 @ SY527 )
            | ( eqangle @ SY521 @ SV36 @ SY522 @ SY523 @ SY524 @ SY525 @ SY526 @ SY527 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(344,plain,
    ! [SV37: $i] :
      ( ( ! [SY528: $i,SY529: $i,SY530: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SY529 @ SY528 @ SY529 )
                  | ~ ( cong @ SV37 @ SY530 @ SY528 @ SY530 ) )
            | ( perp @ SV37 @ SY528 @ SY529 @ SY530 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(345,plain,
    ! [SV38: $i] :
      ( ( ! [SY531: $i,SY532: $i] :
            ( ~ ( cong @ SY532 @ SV38 @ SY532 @ SY531 )
            | ( eqangle @ SY532 @ SV38 @ SV38 @ SY531 @ SV38 @ SY531 @ SY532 @ SY531 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(346,plain,
    ! [SV39: $i] :
      ( ( ! [SY533: $i,SY534: $i,SY535: $i,SY536: $i] :
            ~ ! [SY537: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV39 @ SY534 @ SY533 @ SY534 @ SV39 @ SY535 @ SY533 @ SY536 )
                        | ~ ~ ( coll @ SV39 @ SY533 @ SY534 ) )
                  | ~ ( ~ ( eqangle @ SV39 @ SY534 @ SY533 @ SY534 @ SV39 @ SY537 @ SY533 @ SY537 )
                      | ~ ( cyclic @ SY535 @ SY533 @ SY534 @ SY537 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(347,plain,
    ! [SV40: $i] :
      ( ( ! [SY538: $i,SY539: $i,SY540: $i,SY541: $i,SY542: $i,SY543: $i] :
            ~ ! [SY544: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY541 @ SV40 @ SY538 )
                                    | ~ ( midp @ SY542 @ SY539 @ SY540 ) )
                              | ~ ( coll @ SY539 @ SV40 @ SY538 ) )
                        | ~ ( coll @ SY540 @ SV40 @ SY538 ) )
                  | ( midp @ SY544 @ SV40 @ SY543 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(348,plain,
    ! [SV41: $i] :
      ( ( ! [SY545: $i,SY546: $i,SY547: $i,SY548: $i,SY549: $i] :
            ~ ! [SY550: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY548 @ SV41 @ SY545 )
                        | ~ ( midp @ SY549 @ SY546 @ SY547 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY550 @ SV41 @ SY547 )
                            | ~ ( para @ SY550 @ SY548 @ SY545 @ SY547 ) )
                      | ~ ( para @ SY550 @ SY549 @ SV41 @ SY546 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(349,plain,
    ! [SV42: $i] :
      ( ( ! [SY551: $i,SY552: $i,SY553: $i,SY554: $i] :
            ( ~ ~ ( ~ ( midp @ SY554 @ SV42 @ SY551 )
                  | ~ ( midp @ SY554 @ SY552 @ SY553 ) )
            | ( para @ SV42 @ SY552 @ SY551 @ SY553 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(350,plain,
    ! [SV43: $i] :
      ( ( ! [SY555: $i,SY556: $i,SY557: $i,SY558: $i,SY559: $i] :
            ( ~ ( eqangle @ SV43 @ SY555 @ SY558 @ SY559 @ SY556 @ SY557 @ SY558 @ SY559 )
            | ( para @ SV43 @ SY555 @ SY556 @ SY557 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(351,plain,
    ! [SV44: $i] :
      ( ( ! [SY560: $i,SY561: $i,SY562: $i] :
            ( ~ ~ ( ~ ( cong @ SY562 @ SV44 @ SY562 @ SY560 )
                  | ~ ( cong @ SY562 @ SV44 @ SY562 @ SY561 ) )
            | ( circle @ SY562 @ SV44 @ SY560 @ SY561 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(352,plain,
    ! [SV45: $i] :
      ( ( ! [SY563: $i,SY564: $i,SY565: $i] :
            ~ ! [SY566: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY564 @ SY565 @ SV45 @ SY563 )
                        | ~ ( cong @ SY564 @ SV45 @ SY564 @ SY563 ) )
                  | ~ ( ~ ( coll @ SY563 @ SV45 @ SY566 )
                      | ~ ( coll @ SY566 @ SY564 @ SY565 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[291]) ).

thf(353,plain,
    ! [SV46: $i] :
      ( ( ! [SY567: $i,SY568: $i,SY569: $i,SY570: $i,SY571: $i] :
            ~ ! [SY572: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SY567 @ SY568 @ SY569 )
                                    | ~ ( coll @ SY570 @ SV46 @ SY568 ) )
                              | ~ ( coll @ SY570 @ SY567 @ SY569 ) )
                        | ~ ( coll @ SY571 @ SV46 @ SY567 ) )
                  | ~ ( ~ ( coll @ SY570 @ SY571 @ SY572 )
                      | ~ ( coll @ SY572 @ SY568 @ SY569 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(354,plain,
    ! [SV47: $i] :
      ( ( ! [SY573: $i,SY574: $i,SY575: $i] :
            ( ~ ( perp @ SV47 @ SY573 @ SY574 @ SY575 )
            | ( perp @ SV47 @ SY573 @ SY575 @ SY574 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(355,plain,
    ! [SV48: $i] :
      ( ( ! [SY576: $i,SY577: $i] :
            ( ~ ( para @ SV48 @ SY576 @ SV48 @ SY577 )
            | ( coll @ SV48 @ SY576 @ SY577 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(356,plain,
    ! [SV49: $i] :
      ( ( ! [SY578: $i,SY579: $i,SY580: $i] :
            ~ ! [SY581: $i] :
                ~ ( ~ ( circle @ SY580 @ SV49 @ SY578 @ SY579 )
                  | ( perp @ SY581 @ SV49 @ SV49 @ SY580 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(357,plain,
    ! [SV50: $i] :
      ( ( ! [SY582: $i,SY583: $i,SY584: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY583 @ SV50 @ SY583 @ SY582 @ SY584 @ SV50 @ SY584 @ SY582 )
                  | ~ ~ ( coll @ SY583 @ SY584 @ SV50 ) )
            | ( cyclic @ SV50 @ SY582 @ SY583 @ SY584 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(358,plain,
    ! [SV51: $i] :
      ( ( ! [SY585: $i,SY586: $i,SY587: $i,SY588: $i] :
            ~ ! [SY589: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SY585 @ SV51 @ SY586 )
                              | ~ ( perp @ SY586 @ SV51 @ SY586 @ SY587 ) )
                        | ~ ( midp @ SY588 @ SY585 @ SY587 ) )
                  | ( midp @ SY589 @ SV51 @ SY586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[297]) ).

thf(359,plain,
    ! [SV52: $i] :
      ( ( ! [SY590: $i,SY591: $i,SY592: $i,SY593: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY592 @ SV52 @ SY590 @ SY591 )
                        | ~ ( coll @ SY593 @ SY590 @ SY591 ) )
                  | ~ ( eqangle @ SV52 @ SY590 @ SV52 @ SY591 @ SY592 @ SY590 @ SY592 @ SY593 ) )
            | ( midp @ SY593 @ SY590 @ SY591 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(360,plain,
    ! [SV53: $i] :
      ( ( ! [SY594: $i,SY595: $i,SY596: $i] :
            ( ~ ~ ( ~ ( perp @ SV53 @ SY594 @ SY594 @ SY595 )
                  | ~ ( midp @ SY596 @ SV53 @ SY595 ) )
            | ( cong @ SV53 @ SY596 @ SY594 @ SY596 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(361,plain,
    ! [SV54: $i] :
      ( ( ! [SY597: $i,SY598: $i] :
            ( ~ ( midp @ SV54 @ SY597 @ SY598 )
            | ( coll @ SV54 @ SY597 @ SY598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(362,plain,
    ! [SV55: $i] :
      ( ( ! [SY599: $i,SY600: $i,SY601: $i] :
            ( ~ ~ ( ~ ( coll @ SV55 @ SY599 @ SY600 )
                  | ~ ( coll @ SV55 @ SY599 @ SY601 ) )
            | ( coll @ SY600 @ SY601 @ SV55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(363,plain,
    ! [SV56: $i] :
      ( ( ! [SY602: $i,SY603: $i,SY604: $i,SY605: $i,SY606: $i,SY607: $i,SY608: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV56 @ SY602 @ SY603 @ SY604 @ SY605 @ SY606 @ SY607 @ SY608 )
                  | ~ ( perp @ SY605 @ SY606 @ SY607 @ SY608 ) )
            | ( perp @ SV56 @ SY602 @ SY603 @ SY604 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(364,plain,
    ! [SV57: $i] :
      ( ( ! [SY609: $i,SY610: $i,SY611: $i,SY612: $i,SY613: $i,SY614: $i,SY615: $i] :
            ( ~ ( eqangle @ SV57 @ SY609 @ SY610 @ SY611 @ SY612 @ SY613 @ SY614 @ SY615 )
            | ( eqangle @ SY612 @ SY613 @ SY614 @ SY615 @ SV57 @ SY609 @ SY610 @ SY611 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(365,plain,
    ! [SV58: $i] :
      ( ( ! [SY616: $i,SY617: $i,SY618: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV58 @ SY616 @ SY617 @ SY618 @ SY617 @ SY618 @ SV58 @ SY616 )
                  | ~ ~ ( perp @ SV58 @ SY616 @ SY617 @ SY618 ) )
            | ( para @ SV58 @ SY616 @ SY617 @ SY618 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(366,plain,
    ! [SV59: $i] :
      ( ( ! [SY619: $i,SY620: $i,SY621: $i,SY622: $i,SY623: $i,SY624: $i,SY625: $i] :
            ( ~ ( eqangle @ SV59 @ SY619 @ SY620 @ SY621 @ SY622 @ SY623 @ SY624 @ SY625 )
            | ( eqangle @ SY620 @ SY621 @ SV59 @ SY619 @ SY624 @ SY625 @ SY622 @ SY623 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(367,plain,
    ! [SV60: $i] :
      ( ( ! [SY626: $i,SY627: $i,SY628: $i] :
            ( ~ ( perp @ SV60 @ SY626 @ SY627 @ SY628 )
            | ( perp @ SY627 @ SY628 @ SV60 @ SY626 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(368,plain,
    ! [SV61: $i,SV1: $i] :
      ( ( ! [SY629: $i,SY630: $i,SY631: $i,SY632: $i,SY633: $i] :
            ~ ! [SY634: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY633 @ SV1 @ SV61 )
                                    | ~ ( para @ SV1 @ SY630 @ SY632 @ SY633 ) )
                              | ~ ( para @ SV1 @ SY630 @ SV61 @ SY631 ) )
                        | ~ ( coll @ SY630 @ SY631 @ SY632 ) )
                  | ~ ( ~ ( coll @ SY634 @ SV1 @ SY631 )
                      | ~ ( coll @ SY634 @ SY633 @ SY632 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(369,plain,
    ! [SV62: $i,SV2: $i] :
      ( ( ! [SY635: $i,SY636: $i,SY637: $i,SY638: $i] :
            ~ ! [SY639: $i] :
                ~ ~ ! [SY640: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY637 @ SV2 @ SV62 @ SY635 )
                                          | ~ ( cong @ SY637 @ SV2 @ SY637 @ SY636 ) )
                                    | ~ ( cong @ SY638 @ SV2 @ SY638 @ SV62 ) )
                              | ~ ( ( SY637 != SY638 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY639 @ SV2 @ SY635 )
                                        | ~ ( cong @ SY639 @ SY638 @ SY638 @ SV2 ) )
                                  | ~ ( coll @ SY640 @ SV62 @ SY636 ) )
                            | ~ ( cong @ SY640 @ SY638 @ SY638 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(370,plain,
    ! [SV63: $i,SV3: $i] :
      ( ( ! [SY641: $i,SY642: $i,SY643: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY642 @ SV3 @ SV63 )
                        | ~ ( para @ SY642 @ SY643 @ SV63 @ SY641 ) )
                  | ~ ( coll @ SY643 @ SV3 @ SY641 ) )
            | ( midp @ SY643 @ SV3 @ SY641 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(371,plain,
    ! [SV64: $i,SV4: $i] :
      ( ( ! [SY644: $i,SY645: $i] :
            ~ ! [SY646: $i] :
                ~ ~ ! [SY647: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV4 @ SY645 @ SV64 @ SY644 )
                              | ~ ( perp @ SV64 @ SY645 @ SV4 @ SY644 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY646 @ SY644 @ SV64 )
                                        | ~ ( perp @ SV4 @ SY646 @ SY644 @ SV64 ) )
                                  | ~ ( coll @ SY647 @ SY644 @ SV4 ) )
                            | ~ ( perp @ SV64 @ SY647 @ SY644 @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(372,plain,
    ! [SV65: $i,SV5: $i] :
      ( ( ! [SY648: $i,SY649: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV5 @ SV65 @ SY648 @ SY649 @ SY648 @ SY649 @ SV5 @ SV65 )
                  | ~ ~ ( para @ SV5 @ SV65 @ SY648 @ SY649 ) )
            | ( perp @ SV5 @ SV65 @ SY648 @ SY649 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(373,plain,
    ! [SV66: $i,SV6: $i] :
      ( ( ! [SY650: $i,SY651: $i,SY652: $i,SY653: $i,SY654: $i,SY655: $i,SY656: $i,SY657: $i,SY658: $i,SY659: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SY650 @ SY651 @ SY652 @ SY653 @ SY654 @ SY655 )
                  | ~ ( eqangle @ SY652 @ SY653 @ SY654 @ SY655 @ SY656 @ SY657 @ SY658 @ SY659 ) )
            | ( eqangle @ SV6 @ SV66 @ SY650 @ SY651 @ SY656 @ SY657 @ SY658 @ SY659 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(374,plain,
    ! [SV67: $i,SV7: $i] :
      ( ( ! [SY660: $i,SY661: $i,SY662: $i] :
            ~ ! [SY663: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV7 @ SY660 @ SY660 @ SV67 )
                        | ~ ( coll @ SV67 @ SY661 @ SY662 ) )
                  | ~ ( ~ ( coll @ SY663 @ SY661 @ SY662 )
                      | ~ ( perp @ SY663 @ SV7 @ SY661 @ SY662 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(375,plain,
    ! [SV68: $i,SV8: $i] :
      ( ( ! [SY664: $i] :
            ( ~ ( coll @ SV8 @ SV68 @ SY664 )
            | ( coll @ SV8 @ SY664 @ SV68 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(376,plain,
    ! [SV69: $i,SV9: $i] :
      ( ( ! [SY665: $i,SY666: $i] :
            ~ ! [SY667: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY665 @ SV9 @ SY665 @ SV69 )
                        | ~ ( eqangle @ SV9 @ SY665 @ SY665 @ SY666 @ SY665 @ SY666 @ SY665 @ SV69 ) )
                  | ~ ( ~ ( coll @ SV69 @ SV9 @ SY667 )
                      | ~ ( coll @ SY667 @ SY665 @ SY666 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(377,plain,
    ! [SV70: $i,SV10: $i] :
      ( ( ! [SY668: $i,SY669: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY668 @ SV10 @ SY668 @ SV70 @ SY669 @ SV10 @ SY669 @ SV70 )
                  | ~ ( coll @ SY668 @ SY669 @ SV70 ) )
            | ( cyclic @ SV10 @ SV70 @ SY668 @ SY669 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(378,plain,
    ! [SV71: $i,SV11: $i] :
      ( ( ! [SY670: $i,SY671: $i,SY672: $i,SY673: $i] :
            ( ~ ( para @ SV11 @ SV71 @ SY670 @ SY671 )
            | ( eqangle @ SV11 @ SV71 @ SY672 @ SY673 @ SY670 @ SY671 @ SY672 @ SY673 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(379,plain,
    ! [SV72: $i,SV12: $i] :
      ( ( ! [SY674: $i,SY675: $i,SY676: $i,SY677: $i] :
            ( ~ ( simtri @ SV12 @ SV72 @ SY674 @ SY675 @ SY676 @ SY677 )
            | ( eqangle @ SV12 @ SV72 @ SV72 @ SY674 @ SY675 @ SY676 @ SY676 @ SY677 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(380,plain,
    ! [SV73: $i,SV13: $i] :
      ( ( ! [SY678: $i,SY679: $i,SY680: $i,SY681: $i,SY682: $i,SY683: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV13 @ SV73 @ SY678 @ SY679 @ SY680 @ SY681 @ SY682 @ SY683 )
                  | ~ ( para @ SY680 @ SY681 @ SY682 @ SY683 ) )
            | ( para @ SV13 @ SV73 @ SY678 @ SY679 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(381,plain,
    ! [SV74: $i,SV14: $i] :
      ( ( ! [SY684: $i,SY685: $i,SY686: $i] :
            ( ~ ~ ( ~ ( circle @ SY685 @ SV14 @ SV74 @ SY684 )
                  | ~ ( eqangle @ SV14 @ SY686 @ SV14 @ SV74 @ SY684 @ SV14 @ SY684 @ SV74 ) )
            | ( perp @ SY685 @ SV14 @ SV14 @ SY686 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(382,plain,
    ! [SV75: $i,SV15: $i] :
      ( ( ! [SY687: $i] :
            ( ~ ~ ( ~ ( cong @ SV15 @ SV75 @ SV15 @ SY687 )
                  | ~ ( coll @ SV15 @ SV75 @ SY687 ) )
            | ( midp @ SV15 @ SV75 @ SY687 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(383,plain,
    ! [SV76: $i,SV16: $i] :
      ( ( ! [SY688: $i,SY689: $i,SY690: $i] :
            ( ~ ~ ( ~ ( midp @ SY689 @ SV16 @ SV76 )
                  | ~ ( midp @ SY690 @ SV16 @ SY688 ) )
            | ( para @ SY689 @ SY690 @ SV76 @ SY688 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(384,plain,
    ! [SV77: $i,SV17: $i] :
      ( ( ! [SY691: $i,SY692: $i,SY693: $i,SY694: $i,SY695: $i,SY696: $i] :
            ( ~ ( eqangle @ SV17 @ SV77 @ SY691 @ SY692 @ SY693 @ SY694 @ SY695 @ SY696 )
            | ( eqangle @ SV17 @ SV77 @ SY693 @ SY694 @ SY691 @ SY692 @ SY695 @ SY696 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(385,plain,
    ! [SV78: $i,SV18: $i] :
      ( ( ! [SY697: $i] :
            ~ ! [SY698: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY697 @ SV18 @ SY697 @ SV78 )
                        | ~ ( perp @ SV18 @ SY697 @ SY697 @ SV78 ) )
                  | ~ ( ~ ( coll @ SV18 @ SY697 @ SY698 )
                      | ~ ( cong @ SY697 @ SV18 @ SY697 @ SY698 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(386,plain,
    ! [SV79: $i,SV19: $i] :
      ( ( ! [SY699: $i,SY700: $i,SY701: $i] :
            ( ~ ~ ( ~ ( circle @ SY700 @ SV19 @ SV79 @ SY699 )
                  | ~ ( midp @ SY701 @ SV79 @ SY699 ) )
            | ( eqangle @ SV19 @ SV79 @ SV19 @ SY699 @ SY700 @ SV79 @ SY700 @ SY701 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(387,plain,
    ! [SV80: $i,SV20: $i] :
      ( ( ! [SY702: $i,SY703: $i,SY704: $i] :
            ( ~ ~ ( ~ ( circle @ SY703 @ SV20 @ SV80 @ SY702 )
                  | ~ ( perp @ SY703 @ SV20 @ SV20 @ SY704 ) )
            | ( eqangle @ SV20 @ SY704 @ SV20 @ SV80 @ SY702 @ SV20 @ SY702 @ SV80 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(388,plain,
    ! [SV81: $i,SV21: $i] :
      ( ( ! [SY705: $i,SY706: $i,SY707: $i,SY708: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SY705 @ SY706 @ SY707 @ SY707 @ SY708 )
                        | ~ ( eqangle @ SV21 @ SY705 @ SV81 @ SY705 @ SY706 @ SY708 @ SY707 @ SY708 ) )
                  | ~ ~ ( coll @ SV21 @ SV81 @ SY705 ) )
            | ( simtri @ SV21 @ SV81 @ SY705 @ SY706 @ SY707 @ SY708 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(389,plain,
    ! [SV82: $i,SV22: $i] :
      ( ( ! [SY709: $i,SY710: $i,SY711: $i,SY712: $i] :
            ( ~ ~ ( ~ ( midp @ SY711 @ SV22 @ SV82 )
                  | ~ ( midp @ SY712 @ SY709 @ SY710 ) )
            | ( eqratio @ SY711 @ SV22 @ SV22 @ SV82 @ SY712 @ SY709 @ SY709 @ SY710 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(390,plain,
    ! [SV83: $i,SV23: $i] :
      ( ( ! [SY713: $i,SY714: $i] :
            ( ~ ~ ( ~ ( circle @ SY714 @ SV23 @ SV83 @ SY713 )
                  | ~ ( coll @ SY714 @ SV23 @ SY713 ) )
            | ( perp @ SV23 @ SV83 @ SV83 @ SY713 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(391,plain,
    ! [SV24: $i,SV84: $i] :
      ( ( ! [SY715: $i] :
            ( ~ ( midp @ SY715 @ SV84 @ SV24 )
            | ( midp @ SY715 @ SV24 @ SV84 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(392,plain,
    ! [SV85: $i,SV25: $i] :
      ( ( ! [SY716: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY716 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SY716 @ SV85 )
                  | ~ ~ ( coll @ SY716 @ SV25 @ SV85 ) )
            | ( cong @ SY716 @ SV25 @ SY716 @ SV85 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(393,plain,
    ! [SV86: $i,SV26: $i] :
      ( ( ! [SY717: $i] :
            ( ~ ( coll @ SV26 @ SV86 @ SY717 )
            | ( coll @ SV86 @ SV26 @ SY717 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(394,plain,
    ! [SV87: $i,SV27: $i] :
      ( ( ! [SY718: $i,SY719: $i] :
            ( ~ ~ ( ~ ( midp @ SY718 @ SV27 @ SV87 )
                  | ~ ( perp @ SY719 @ SY718 @ SV27 @ SV87 ) )
            | ( cong @ SY719 @ SV27 @ SY719 @ SV87 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(395,plain,
    ! [SV88: $i,SV28: $i] :
      ( ( ! [SY720: $i,SY721: $i] :
            ~ ! [SY722: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY720 @ SY721 @ SV28 @ SV88 )
                        | ~ ( eqangle @ SV28 @ SY720 @ SY720 @ SY721 @ SY720 @ SY721 @ SY720 @ SV88 ) )
                  | ~ ( ~ ( coll @ SV88 @ SV28 @ SY722 )
                      | ~ ( coll @ SY722 @ SY720 @ SY721 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(396,plain,
    ! [SV89: $i,SV29: $i] :
      ( ( ! [SY723: $i,SY724: $i] :
            ~ ! [SY725: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV29 @ SY723 @ SY723 @ SV89 )
                        | ~ ( cyclic @ SV29 @ SV89 @ SY723 @ SY724 ) )
                  | ( circle @ SY725 @ SV29 @ SV89 @ SY723 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(397,plain,
    ! [SV90: $i,SV30: $i] :
      ( ( ! [SY726: $i,SY727: $i,SY728: $i,SY729: $i] :
            ( ~ ~ ( ~ ( para @ SV30 @ SV90 @ SY726 @ SY727 )
                  | ~ ( perp @ SY726 @ SY727 @ SY728 @ SY729 ) )
            | ( perp @ SV30 @ SV90 @ SY728 @ SY729 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(398,plain,
    ! [SV31: $i,SV91: $i] :
      ( ( ! [SY730: $i,SY731: $i] :
            ~ ! [SY732: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY730 @ SV91 @ SV91 @ SV31 )
                        | ~ ( eqangle @ SY731 @ SY730 @ SV91 @ SY730 @ SV91 @ SY730 @ SV31 @ SY730 ) )
                  | ~ ( ~ ( coll @ SY732 @ SV31 @ SV91 )
                      | ~ ( coll @ SY732 @ SY730 @ SY731 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(399,plain,
    ! [SV92: $i,SV32: $i] :
      ( ( ! [SY733: $i] :
            ( ~ ( midp @ SV32 @ SV92 @ SY733 )
            | ( cong @ SV32 @ SV92 @ SV32 @ SY733 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(400,plain,
    ! [SV93: $i,SV33: $i] :
      ( ( ! [SY734: $i,SY735: $i,SY736: $i,SY737: $i] :
            ( ~ ~ ( ~ ( perp @ SV33 @ SV93 @ SY734 @ SY735 )
                  | ~ ( perp @ SY734 @ SY735 @ SY736 @ SY737 ) )
            | ( para @ SV33 @ SV93 @ SY736 @ SY737 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(401,plain,
    ! [SV94: $i,SV34: $i] :
      ( ( ! [SY738: $i,SY739: $i,SY740: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY740 @ SV34 @ SV94 )
                        | ~ ( para @ SV34 @ SY738 @ SV94 @ SY739 ) )
                  | ~ ( para @ SV34 @ SY739 @ SV94 @ SY738 ) )
            | ( midp @ SY740 @ SY738 @ SY739 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(402,plain,
    ! [SV95: $i,SV35: $i] :
      ( ( ! [SY741: $i,SY742: $i] :
            ( ~ ( cyclic @ SV35 @ SV95 @ SY741 @ SY742 )
            | ( eqangle @ SY741 @ SV35 @ SY741 @ SV95 @ SY742 @ SV35 @ SY742 @ SV95 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(403,plain,
    ! [SV96: $i,SV36: $i] :
      ( ( ! [SY743: $i,SY744: $i,SY745: $i,SY746: $i,SY747: $i,SY748: $i] :
            ( ~ ( eqangle @ SV36 @ SV96 @ SY743 @ SY744 @ SY745 @ SY746 @ SY747 @ SY748 )
            | ( eqangle @ SV96 @ SV36 @ SY743 @ SY744 @ SY745 @ SY746 @ SY747 @ SY748 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(404,plain,
    ! [SV97: $i,SV37: $i] :
      ( ( ! [SY749: $i,SY750: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SY749 @ SV97 @ SY749 )
                  | ~ ( cong @ SV37 @ SY750 @ SV97 @ SY750 ) )
            | ( perp @ SV37 @ SV97 @ SY749 @ SY750 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(405,plain,
    ! [SV98: $i,SV38: $i] :
      ( ( ! [SY751: $i] :
            ( ~ ( cong @ SY751 @ SV38 @ SY751 @ SV98 )
            | ( eqangle @ SY751 @ SV38 @ SV38 @ SV98 @ SV38 @ SV98 @ SY751 @ SV98 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(406,plain,
    ! [SV99: $i,SV39: $i] :
      ( ( ! [SY752: $i,SY753: $i,SY754: $i] :
            ~ ! [SY755: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV39 @ SY752 @ SV99 @ SY752 @ SV39 @ SY753 @ SV99 @ SY754 )
                        | ~ ~ ( coll @ SV39 @ SV99 @ SY752 ) )
                  | ~ ( ~ ( eqangle @ SV39 @ SY752 @ SV99 @ SY752 @ SV39 @ SY755 @ SV99 @ SY755 )
                      | ~ ( cyclic @ SY753 @ SV99 @ SY752 @ SY755 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(407,plain,
    ! [SV100: $i,SV40: $i] :
      ( ( ! [SY756: $i,SY757: $i,SY758: $i,SY759: $i,SY760: $i] :
            ~ ! [SY761: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY758 @ SV40 @ SV100 )
                                    | ~ ( midp @ SY759 @ SY756 @ SY757 ) )
                              | ~ ( coll @ SY756 @ SV40 @ SV100 ) )
                        | ~ ( coll @ SY757 @ SV40 @ SV100 ) )
                  | ( midp @ SY761 @ SV40 @ SY760 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(408,plain,
    ! [SV101: $i,SV41: $i] :
      ( ( ! [SY762: $i,SY763: $i,SY764: $i,SY765: $i] :
            ~ ! [SY766: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY764 @ SV41 @ SV101 )
                        | ~ ( midp @ SY765 @ SY762 @ SY763 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY766 @ SV41 @ SY763 )
                            | ~ ( para @ SY766 @ SY764 @ SV101 @ SY763 ) )
                      | ~ ( para @ SY766 @ SY765 @ SV41 @ SY762 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(409,plain,
    ! [SV102: $i,SV42: $i] :
      ( ( ! [SY767: $i,SY768: $i,SY769: $i] :
            ( ~ ~ ( ~ ( midp @ SY769 @ SV42 @ SV102 )
                  | ~ ( midp @ SY769 @ SY767 @ SY768 ) )
            | ( para @ SV42 @ SY767 @ SV102 @ SY768 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(410,plain,
    ! [SV103: $i,SV43: $i] :
      ( ( ! [SY770: $i,SY771: $i,SY772: $i,SY773: $i] :
            ( ~ ( eqangle @ SV43 @ SV103 @ SY772 @ SY773 @ SY770 @ SY771 @ SY772 @ SY773 )
            | ( para @ SV43 @ SV103 @ SY770 @ SY771 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(411,plain,
    ! [SV104: $i,SV44: $i] :
      ( ( ! [SY774: $i,SY775: $i] :
            ( ~ ~ ( ~ ( cong @ SY775 @ SV44 @ SY775 @ SV104 )
                  | ~ ( cong @ SY775 @ SV44 @ SY775 @ SY774 ) )
            | ( circle @ SY775 @ SV44 @ SV104 @ SY774 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(412,plain,
    ! [SV105: $i,SV45: $i] :
      ( ( ! [SY776: $i,SY777: $i] :
            ~ ! [SY778: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY776 @ SY777 @ SV45 @ SV105 )
                        | ~ ( cong @ SY776 @ SV45 @ SY776 @ SV105 ) )
                  | ~ ( ~ ( coll @ SV105 @ SV45 @ SY778 )
                      | ~ ( coll @ SY778 @ SY776 @ SY777 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(413,plain,
    ! [SV106: $i,SV46: $i] :
      ( ( ! [SY779: $i,SY780: $i,SY781: $i,SY782: $i] :
            ~ ! [SY783: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SY779 @ SY780 )
                                    | ~ ( coll @ SY781 @ SV46 @ SY779 ) )
                              | ~ ( coll @ SY781 @ SV106 @ SY780 ) )
                        | ~ ( coll @ SY782 @ SV46 @ SV106 ) )
                  | ~ ( ~ ( coll @ SY781 @ SY782 @ SY783 )
                      | ~ ( coll @ SY783 @ SY779 @ SY780 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(414,plain,
    ! [SV107: $i,SV47: $i] :
      ( ( ! [SY784: $i,SY785: $i] :
            ( ~ ( perp @ SV47 @ SV107 @ SY784 @ SY785 )
            | ( perp @ SV47 @ SV107 @ SY785 @ SY784 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(415,plain,
    ! [SV108: $i,SV48: $i] :
      ( ( ! [SY786: $i] :
            ( ~ ( para @ SV48 @ SV108 @ SV48 @ SY786 )
            | ( coll @ SV48 @ SV108 @ SY786 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(416,plain,
    ! [SV109: $i,SV49: $i] :
      ( ( ! [SY787: $i,SY788: $i] :
            ~ ! [SY789: $i] :
                ~ ( ~ ( circle @ SY788 @ SV49 @ SV109 @ SY787 )
                  | ( perp @ SY789 @ SV49 @ SV49 @ SY788 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(417,plain,
    ! [SV110: $i,SV50: $i] :
      ( ( ! [SY790: $i,SY791: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY790 @ SV50 @ SY790 @ SV110 @ SY791 @ SV50 @ SY791 @ SV110 )
                  | ~ ~ ( coll @ SY790 @ SY791 @ SV50 ) )
            | ( cyclic @ SV50 @ SV110 @ SY790 @ SY791 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(418,plain,
    ! [SV111: $i,SV51: $i] :
      ( ( ! [SY792: $i,SY793: $i,SY794: $i] :
            ~ ! [SY795: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SY792 )
                              | ~ ( perp @ SY792 @ SV51 @ SY792 @ SY793 ) )
                        | ~ ( midp @ SY794 @ SV111 @ SY793 ) )
                  | ( midp @ SY795 @ SV51 @ SY792 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(419,plain,
    ! [SV112: $i,SV52: $i] :
      ( ( ! [SY796: $i,SY797: $i,SY798: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY797 @ SV52 @ SV112 @ SY796 )
                        | ~ ( coll @ SY798 @ SV112 @ SY796 ) )
                  | ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SY796 @ SY797 @ SV112 @ SY797 @ SY798 ) )
            | ( midp @ SY798 @ SV112 @ SY796 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(420,plain,
    ! [SV113: $i,SV53: $i] :
      ( ( ! [SY799: $i,SY800: $i] :
            ( ~ ~ ( ~ ( perp @ SV53 @ SV113 @ SV113 @ SY799 )
                  | ~ ( midp @ SY800 @ SV53 @ SY799 ) )
            | ( cong @ SV53 @ SY800 @ SV113 @ SY800 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(421,plain,
    ! [SV114: $i,SV54: $i] :
      ( ( ! [SY801: $i] :
            ( ~ ( midp @ SV54 @ SV114 @ SY801 )
            | ( coll @ SV54 @ SV114 @ SY801 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(422,plain,
    ! [SV115: $i,SV55: $i] :
      ( ( ! [SY802: $i,SY803: $i] :
            ( ~ ~ ( ~ ( coll @ SV55 @ SV115 @ SY802 )
                  | ~ ( coll @ SV55 @ SV115 @ SY803 ) )
            | ( coll @ SY802 @ SY803 @ SV55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(423,plain,
    ! [SV116: $i,SV56: $i] :
      ( ( ! [SY804: $i,SY805: $i,SY806: $i,SY807: $i,SY808: $i,SY809: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV56 @ SV116 @ SY804 @ SY805 @ SY806 @ SY807 @ SY808 @ SY809 )
                  | ~ ( perp @ SY806 @ SY807 @ SY808 @ SY809 ) )
            | ( perp @ SV56 @ SV116 @ SY804 @ SY805 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(424,plain,
    ! [SV117: $i,SV57: $i] :
      ( ( ! [SY810: $i,SY811: $i,SY812: $i,SY813: $i,SY814: $i,SY815: $i] :
            ( ~ ( eqangle @ SV57 @ SV117 @ SY810 @ SY811 @ SY812 @ SY813 @ SY814 @ SY815 )
            | ( eqangle @ SY812 @ SY813 @ SY814 @ SY815 @ SV57 @ SV117 @ SY810 @ SY811 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(425,plain,
    ! [SV118: $i,SV58: $i] :
      ( ( ! [SY816: $i,SY817: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV58 @ SV118 @ SY816 @ SY817 @ SY816 @ SY817 @ SV58 @ SV118 )
                  | ~ ~ ( perp @ SV58 @ SV118 @ SY816 @ SY817 ) )
            | ( para @ SV58 @ SV118 @ SY816 @ SY817 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(426,plain,
    ! [SV119: $i,SV59: $i] :
      ( ( ! [SY818: $i,SY819: $i,SY820: $i,SY821: $i,SY822: $i,SY823: $i] :
            ( ~ ( eqangle @ SV59 @ SV119 @ SY818 @ SY819 @ SY820 @ SY821 @ SY822 @ SY823 )
            | ( eqangle @ SY818 @ SY819 @ SV59 @ SV119 @ SY822 @ SY823 @ SY820 @ SY821 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(427,plain,
    ! [SV120: $i,SV60: $i] :
      ( ( ! [SY824: $i,SY825: $i] :
            ( ~ ( perp @ SV60 @ SV120 @ SY824 @ SY825 )
            | ( perp @ SY824 @ SY825 @ SV60 @ SV120 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(428,plain,
    ! [SV61: $i,SV1: $i] :
      ( ( ! [SY630: $i,SY631: $i,SY632: $i,SY633: $i] :
            ~ ! [SY634: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY633 @ SV1 @ SV61 )
                                    | ~ ( para @ SV1 @ SY630 @ SY632 @ SY633 ) )
                              | ~ ( para @ SV1 @ SY630 @ SV61 @ SY631 ) )
                        | ~ ( coll @ SY630 @ SY631 @ SY632 ) )
                  | ~ ( ~ ( coll @ SY634 @ SV1 @ SY631 )
                      | ~ ( coll @ SY634 @ SY633 @ SY632 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(429,plain,
    ! [SV122: $i,SV62: $i,SV2: $i] :
      ( ( ! [SY831: $i,SY832: $i,SY833: $i] :
            ~ ! [SY834: $i] :
                ~ ~ ! [SY835: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY832 @ SV2 @ SV62 @ SV122 )
                                          | ~ ( cong @ SY832 @ SV2 @ SY832 @ SY831 ) )
                                    | ~ ( cong @ SY833 @ SV2 @ SY833 @ SV62 ) )
                              | ~ ( ( SY832 != SY833 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY834 @ SV2 @ SV122 )
                                        | ~ ( cong @ SY834 @ SY833 @ SY833 @ SV2 ) )
                                  | ~ ( coll @ SY835 @ SV62 @ SY831 ) )
                            | ~ ( cong @ SY835 @ SY833 @ SY833 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(430,plain,
    ! [SV123: $i,SV63: $i,SV3: $i] :
      ( ( ! [SY836: $i,SY837: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY836 @ SV3 @ SV63 )
                        | ~ ( para @ SY836 @ SY837 @ SV63 @ SV123 ) )
                  | ~ ( coll @ SY837 @ SV3 @ SV123 ) )
            | ( midp @ SY837 @ SV3 @ SV123 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(431,plain,
    ! [SV124: $i,SV64: $i,SV4: $i] :
      ( ( ! [SY838: $i] :
            ~ ! [SY839: $i] :
                ~ ~ ! [SY840: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV4 @ SY838 @ SV64 @ SV124 )
                              | ~ ( perp @ SV64 @ SY838 @ SV4 @ SV124 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY839 @ SV124 @ SV64 )
                                        | ~ ( perp @ SV4 @ SY839 @ SV124 @ SV64 ) )
                                  | ~ ( coll @ SY840 @ SV124 @ SV4 ) )
                            | ~ ( perp @ SV64 @ SY840 @ SV124 @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(432,plain,
    ! [SV125: $i,SV65: $i,SV5: $i] :
      ( ( ! [SY841: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV5 @ SV65 @ SV125 @ SY841 @ SV125 @ SY841 @ SV5 @ SV65 )
                  | ~ ~ ( para @ SV5 @ SV65 @ SV125 @ SY841 ) )
            | ( perp @ SV5 @ SV65 @ SV125 @ SY841 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(433,plain,
    ! [SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY842: $i,SY843: $i,SY844: $i,SY845: $i,SY846: $i,SY847: $i,SY848: $i,SY849: $i,SY850: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SY842 @ SY843 @ SY844 @ SY845 @ SY846 )
                  | ~ ( eqangle @ SY843 @ SY844 @ SY845 @ SY846 @ SY847 @ SY848 @ SY849 @ SY850 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SY842 @ SY847 @ SY848 @ SY849 @ SY850 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(434,plain,
    ! [SV67: $i,SV127: $i,SV7: $i] :
      ( ( ! [SY851: $i,SY852: $i] :
            ~ ! [SY853: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
                        | ~ ( coll @ SV67 @ SY851 @ SY852 ) )
                  | ~ ( ~ ( coll @ SY853 @ SY851 @ SY852 )
                      | ~ ( perp @ SY853 @ SV7 @ SY851 @ SY852 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(435,plain,
    ! [SV128: $i,SV68: $i,SV8: $i] :
      ( ( ~ ( coll @ SV8 @ SV68 @ SV128 )
        | ( coll @ SV8 @ SV128 @ SV68 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(436,plain,
    ! [SV69: $i,SV9: $i,SV129: $i] :
      ( ( ! [SY854: $i] :
            ~ ! [SY855: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
                        | ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SY854 @ SV129 @ SY854 @ SV129 @ SV69 ) )
                  | ~ ( ~ ( coll @ SV69 @ SV9 @ SY855 )
                      | ~ ( coll @ SY855 @ SV129 @ SY854 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(437,plain,
    ! [SV70: $i,SV10: $i,SV130: $i] :
      ( ( ! [SY856: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV130 @ SV10 @ SV130 @ SV70 @ SY856 @ SV10 @ SY856 @ SV70 )
                  | ~ ( coll @ SV130 @ SY856 @ SV70 ) )
            | ( cyclic @ SV10 @ SV70 @ SV130 @ SY856 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[377]) ).

thf(438,plain,
    ! [SV131: $i,SV71: $i,SV11: $i] :
      ( ( ! [SY857: $i,SY858: $i,SY859: $i] :
            ( ~ ( para @ SV11 @ SV71 @ SV131 @ SY857 )
            | ( eqangle @ SV11 @ SV71 @ SY858 @ SY859 @ SV131 @ SY857 @ SY858 @ SY859 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[378]) ).

thf(439,plain,
    ! [SV132: $i,SV72: $i,SV12: $i] :
      ( ( ! [SY860: $i,SY861: $i,SY862: $i] :
            ( ~ ( simtri @ SV12 @ SV72 @ SV132 @ SY860 @ SY861 @ SY862 )
            | ( eqangle @ SV12 @ SV72 @ SV72 @ SV132 @ SY860 @ SY861 @ SY861 @ SY862 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[379]) ).

thf(440,plain,
    ! [SV133: $i,SV73: $i,SV13: $i] :
      ( ( ! [SY863: $i,SY864: $i,SY865: $i,SY866: $i,SY867: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SY863 @ SY864 @ SY865 @ SY866 @ SY867 )
                  | ~ ( para @ SY864 @ SY865 @ SY866 @ SY867 ) )
            | ( para @ SV13 @ SV73 @ SV133 @ SY863 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(441,plain,
    ! [SV134: $i,SV74: $i,SV14: $i] :
      ( ( ! [SY868: $i,SY869: $i] :
            ( ~ ~ ( ~ ( circle @ SY868 @ SV14 @ SV74 @ SV134 )
                  | ~ ( eqangle @ SV14 @ SY869 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 ) )
            | ( perp @ SY868 @ SV14 @ SV14 @ SY869 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[381]) ).

thf(442,plain,
    ! [SV135: $i,SV75: $i,SV15: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV15 @ SV75 @ SV15 @ SV135 )
              | ~ ( coll @ SV15 @ SV75 @ SV135 ) )
        | ( midp @ SV15 @ SV75 @ SV135 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[382]) ).

thf(443,plain,
    ! [SV136: $i,SV76: $i,SV16: $i] :
      ( ( ! [SY870: $i,SY871: $i] :
            ( ~ ~ ( ~ ( midp @ SY870 @ SV16 @ SV76 )
                  | ~ ( midp @ SY871 @ SV16 @ SV136 ) )
            | ( para @ SY870 @ SY871 @ SV76 @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[383]) ).

thf(444,plain,
    ! [SV137: $i,SV77: $i,SV17: $i] :
      ( ( ! [SY872: $i,SY873: $i,SY874: $i,SY875: $i,SY876: $i] :
            ( ~ ( eqangle @ SV17 @ SV77 @ SV137 @ SY872 @ SY873 @ SY874 @ SY875 @ SY876 )
            | ( eqangle @ SV17 @ SV77 @ SY873 @ SY874 @ SV137 @ SY872 @ SY875 @ SY876 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[384]) ).

thf(445,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ~ ! [SY877: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
                      | ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) )
                | ~ ( ~ ( coll @ SV18 @ SV138 @ SY877 )
                    | ~ ( cong @ SV138 @ SV18 @ SV138 @ SY877 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[385]) ).

thf(446,plain,
    ! [SV139: $i,SV79: $i,SV19: $i] :
      ( ( ! [SY878: $i,SY879: $i] :
            ( ~ ~ ( ~ ( circle @ SY878 @ SV19 @ SV79 @ SV139 )
                  | ~ ( midp @ SY879 @ SV79 @ SV139 ) )
            | ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SY878 @ SV79 @ SY878 @ SY879 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[386]) ).

thf(447,plain,
    ! [SV140: $i,SV80: $i,SV20: $i] :
      ( ( ! [SY880: $i,SY881: $i] :
            ( ~ ~ ( ~ ( circle @ SY880 @ SV20 @ SV80 @ SV140 )
                  | ~ ( perp @ SY880 @ SV20 @ SV20 @ SY881 ) )
            | ( eqangle @ SV20 @ SY881 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[387]) ).

thf(448,plain,
    ! [SV141: $i,SV81: $i,SV21: $i] :
      ( ( ! [SY882: $i,SY883: $i,SY884: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SY882 @ SY883 @ SY883 @ SY884 )
                        | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SY882 @ SY884 @ SY883 @ SY884 ) )
                  | ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
            | ( simtri @ SV21 @ SV81 @ SV141 @ SY882 @ SY883 @ SY884 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[388]) ).

thf(449,plain,
    ! [SV142: $i,SV82: $i,SV22: $i] :
      ( ( ! [SY885: $i,SY886: $i,SY887: $i] :
            ( ~ ~ ( ~ ( midp @ SY886 @ SV22 @ SV82 )
                  | ~ ( midp @ SY887 @ SV142 @ SY885 ) )
            | ( eqratio @ SY886 @ SV22 @ SV22 @ SV82 @ SY887 @ SV142 @ SV142 @ SY885 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(450,plain,
    ! [SV143: $i,SV83: $i,SV23: $i] :
      ( ( ! [SY888: $i] :
            ( ~ ~ ( ~ ( circle @ SY888 @ SV23 @ SV83 @ SV143 )
                  | ~ ( coll @ SY888 @ SV23 @ SV143 ) )
            | ( perp @ SV23 @ SV83 @ SV83 @ SV143 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(451,plain,
    ! [SV24: $i,SV84: $i,SV144: $i] :
      ( ( ~ ( midp @ SV144 @ SV84 @ SV24 )
        | ( midp @ SV144 @ SV24 @ SV84 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[391]) ).

thf(452,plain,
    ! [SV85: $i,SV25: $i,SV145: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV145 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SV145 @ SV85 )
              | ~ ~ ( coll @ SV145 @ SV25 @ SV85 ) )
        | ( cong @ SV145 @ SV25 @ SV145 @ SV85 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(453,plain,
    ! [SV146: $i,SV86: $i,SV26: $i] :
      ( ( ~ ( coll @ SV26 @ SV86 @ SV146 )
        | ( coll @ SV86 @ SV26 @ SV146 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[393]) ).

thf(454,plain,
    ! [SV87: $i,SV27: $i,SV147: $i] :
      ( ( ! [SY889: $i] :
            ( ~ ~ ( ~ ( midp @ SV147 @ SV27 @ SV87 )
                  | ~ ( perp @ SY889 @ SV147 @ SV27 @ SV87 ) )
            | ( cong @ SY889 @ SV27 @ SY889 @ SV87 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(455,plain,
    ! [SV88: $i,SV28: $i,SV148: $i] :
      ( ( ! [SY890: $i] :
            ~ ! [SY891: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV148 @ SY890 @ SV28 @ SV88 )
                        | ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SY890 @ SV148 @ SY890 @ SV148 @ SV88 ) )
                  | ~ ( ~ ( coll @ SV88 @ SV28 @ SY891 )
                      | ~ ( coll @ SY891 @ SV148 @ SY890 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[395]) ).

thf(456,plain,
    ! [SV89: $i,SV149: $i,SV29: $i] :
      ( ( ! [SY892: $i] :
            ~ ! [SY893: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
                        | ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SY892 ) )
                  | ( circle @ SY893 @ SV29 @ SV89 @ SV149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(457,plain,
    ! [SV150: $i,SV90: $i,SV30: $i] :
      ( ( ! [SY894: $i,SY895: $i,SY896: $i] :
            ( ~ ~ ( ~ ( para @ SV30 @ SV90 @ SV150 @ SY894 )
                  | ~ ( perp @ SV150 @ SY894 @ SY895 @ SY896 ) )
            | ( perp @ SV30 @ SV90 @ SY895 @ SY896 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[397]) ).

thf(458,plain,
    ! [SV31: $i,SV91: $i,SV151: $i] :
      ( ( ! [SY897: $i] :
            ~ ! [SY898: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
                        | ~ ( eqangle @ SY897 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) )
                  | ~ ( ~ ( coll @ SY898 @ SV31 @ SV91 )
                      | ~ ( coll @ SY898 @ SV151 @ SY897 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(459,plain,
    ! [SV152: $i,SV92: $i,SV32: $i] :
      ( ( ~ ( midp @ SV32 @ SV92 @ SV152 )
        | ( cong @ SV32 @ SV92 @ SV32 @ SV152 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[399]) ).

thf(460,plain,
    ! [SV153: $i,SV93: $i,SV33: $i] :
      ( ( ! [SY899: $i,SY900: $i,SY901: $i] :
            ( ~ ~ ( ~ ( perp @ SV33 @ SV93 @ SV153 @ SY899 )
                  | ~ ( perp @ SV153 @ SY899 @ SY900 @ SY901 ) )
            | ( para @ SV33 @ SV93 @ SY900 @ SY901 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[400]) ).

thf(461,plain,
    ! [SV154: $i,SV94: $i,SV34: $i] :
      ( ( ! [SY902: $i,SY903: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY903 @ SV34 @ SV94 )
                        | ~ ( para @ SV34 @ SV154 @ SV94 @ SY902 ) )
                  | ~ ( para @ SV34 @ SY902 @ SV94 @ SV154 ) )
            | ( midp @ SY903 @ SV154 @ SY902 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(462,plain,
    ! [SV155: $i,SV95: $i,SV35: $i] :
      ( ( ! [SY904: $i] :
            ( ~ ( cyclic @ SV35 @ SV95 @ SV155 @ SY904 )
            | ( eqangle @ SV155 @ SV35 @ SV155 @ SV95 @ SY904 @ SV35 @ SY904 @ SV95 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(463,plain,
    ! [SV156: $i,SV96: $i,SV36: $i] :
      ( ( ! [SY905: $i,SY906: $i,SY907: $i,SY908: $i,SY909: $i] :
            ( ~ ( eqangle @ SV36 @ SV96 @ SV156 @ SY905 @ SY906 @ SY907 @ SY908 @ SY909 )
            | ( eqangle @ SV96 @ SV36 @ SV156 @ SY905 @ SY906 @ SY907 @ SY908 @ SY909 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(464,plain,
    ! [SV97: $i,SV157: $i,SV37: $i] :
      ( ( ! [SY910: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SV157 @ SV97 @ SV157 )
                  | ~ ( cong @ SV37 @ SY910 @ SV97 @ SY910 ) )
            | ( perp @ SV37 @ SV97 @ SV157 @ SY910 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(465,plain,
    ! [SV98: $i,SV38: $i,SV158: $i] :
      ( ( ~ ( cong @ SV158 @ SV38 @ SV158 @ SV98 )
        | ( eqangle @ SV158 @ SV38 @ SV38 @ SV98 @ SV38 @ SV98 @ SV158 @ SV98 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[405]) ).

thf(466,plain,
    ! [SV99: $i,SV159: $i,SV39: $i] :
      ( ( ! [SY911: $i,SY912: $i] :
            ~ ! [SY913: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SY911 @ SV99 @ SY912 )
                        | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
                  | ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SY913 @ SV99 @ SY913 )
                      | ~ ( cyclic @ SY911 @ SV99 @ SV159 @ SY913 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[406]) ).

thf(467,plain,
    ! [SV160: $i,SV100: $i,SV40: $i] :
      ( ( ! [SY914: $i,SY915: $i,SY916: $i,SY917: $i] :
            ~ ! [SY918: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY915 @ SV40 @ SV100 )
                                    | ~ ( midp @ SY916 @ SV160 @ SY914 ) )
                              | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
                        | ~ ( coll @ SY914 @ SV40 @ SV100 ) )
                  | ( midp @ SY918 @ SV40 @ SY917 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[407]) ).

thf(468,plain,
    ! [SV161: $i,SV101: $i,SV41: $i] :
      ( ( ! [SY919: $i,SY920: $i,SY921: $i] :
            ~ ! [SY922: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY920 @ SV41 @ SV101 )
                        | ~ ( midp @ SY921 @ SV161 @ SY919 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY922 @ SV41 @ SY919 )
                            | ~ ( para @ SY922 @ SY920 @ SV101 @ SY919 ) )
                      | ~ ( para @ SY922 @ SY921 @ SV41 @ SV161 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(469,plain,
    ! [SV162: $i,SV102: $i,SV42: $i] :
      ( ( ! [SY923: $i,SY924: $i] :
            ( ~ ~ ( ~ ( midp @ SY924 @ SV42 @ SV102 )
                  | ~ ( midp @ SY924 @ SV162 @ SY923 ) )
            | ( para @ SV42 @ SV162 @ SV102 @ SY923 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[409]) ).

thf(470,plain,
    ! [SV163: $i,SV103: $i,SV43: $i] :
      ( ( ! [SY925: $i,SY926: $i,SY927: $i] :
            ( ~ ( eqangle @ SV43 @ SV103 @ SY926 @ SY927 @ SV163 @ SY925 @ SY926 @ SY927 )
            | ( para @ SV43 @ SV103 @ SV163 @ SY925 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(471,plain,
    ! [SV164: $i,SV104: $i,SV44: $i] :
      ( ( ! [SY928: $i] :
            ( ~ ~ ( ~ ( cong @ SY928 @ SV44 @ SY928 @ SV104 )
                  | ~ ( cong @ SY928 @ SV44 @ SY928 @ SV164 ) )
            | ( circle @ SY928 @ SV44 @ SV104 @ SV164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[411]) ).

thf(472,plain,
    ! [SV105: $i,SV45: $i,SV165: $i] :
      ( ( ! [SY929: $i] :
            ~ ! [SY930: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV165 @ SY929 @ SV45 @ SV105 )
                        | ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) )
                  | ~ ( ~ ( coll @ SV105 @ SV45 @ SY930 )
                      | ~ ( coll @ SY930 @ SV165 @ SY929 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[412]) ).

thf(473,plain,
    ! [SV166: $i,SV106: $i,SV46: $i] :
      ( ( ! [SY931: $i,SY932: $i,SY933: $i] :
            ~ ! [SY934: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SY931 )
                                    | ~ ( coll @ SY932 @ SV46 @ SV166 ) )
                              | ~ ( coll @ SY932 @ SV106 @ SY931 ) )
                        | ~ ( coll @ SY933 @ SV46 @ SV106 ) )
                  | ~ ( ~ ( coll @ SY932 @ SY933 @ SY934 )
                      | ~ ( coll @ SY934 @ SV166 @ SY931 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[413]) ).

thf(474,plain,
    ! [SV167: $i,SV107: $i,SV47: $i] :
      ( ( ! [SY935: $i] :
            ( ~ ( perp @ SV47 @ SV107 @ SV167 @ SY935 )
            | ( perp @ SV47 @ SV107 @ SY935 @ SV167 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(475,plain,
    ! [SV168: $i,SV108: $i,SV48: $i] :
      ( ( ~ ( para @ SV48 @ SV108 @ SV48 @ SV168 )
        | ( coll @ SV48 @ SV108 @ SV168 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[415]) ).

thf(476,plain,
    ! [SV169: $i,SV109: $i,SV49: $i] :
      ( ( ! [SY936: $i] :
            ~ ! [SY937: $i] :
                ~ ( ~ ( circle @ SY936 @ SV49 @ SV109 @ SV169 )
                  | ( perp @ SY937 @ SV49 @ SV49 @ SY936 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[416]) ).

thf(477,plain,
    ! [SV110: $i,SV50: $i,SV170: $i] :
      ( ( ! [SY938: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SY938 @ SV50 @ SY938 @ SV110 )
                  | ~ ~ ( coll @ SV170 @ SY938 @ SV50 ) )
            | ( cyclic @ SV50 @ SV110 @ SV170 @ SY938 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[417]) ).

thf(478,plain,
    ! [SV171: $i,SV111: $i,SV51: $i] :
      ( ( ! [SY939: $i,SY940: $i] :
            ~ ! [SY941: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                              | ~ ( perp @ SV171 @ SV51 @ SV171 @ SY939 ) )
                        | ~ ( midp @ SY940 @ SV111 @ SY939 ) )
                  | ( midp @ SY941 @ SV51 @ SV171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[418]) ).

thf(479,plain,
    ! [SV172: $i,SV112: $i,SV52: $i] :
      ( ( ! [SY942: $i,SY943: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY942 @ SV52 @ SV112 @ SV172 )
                        | ~ ( coll @ SY943 @ SV112 @ SV172 ) )
                  | ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SY942 @ SV112 @ SY942 @ SY943 ) )
            | ( midp @ SY943 @ SV112 @ SV172 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(480,plain,
    ! [SV173: $i,SV113: $i,SV53: $i] :
      ( ( ! [SY944: $i] :
            ( ~ ~ ( ~ ( perp @ SV53 @ SV113 @ SV113 @ SV173 )
                  | ~ ( midp @ SY944 @ SV53 @ SV173 ) )
            | ( cong @ SV53 @ SY944 @ SV113 @ SY944 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[420]) ).

thf(481,plain,
    ! [SV174: $i,SV114: $i,SV54: $i] :
      ( ( ~ ( midp @ SV54 @ SV114 @ SV174 )
        | ( coll @ SV54 @ SV114 @ SV174 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(482,plain,
    ! [SV175: $i,SV115: $i,SV55: $i] :
      ( ( ! [SY945: $i] :
            ( ~ ~ ( ~ ( coll @ SV55 @ SV115 @ SV175 )
                  | ~ ( coll @ SV55 @ SV115 @ SY945 ) )
            | ( coll @ SV175 @ SY945 @ SV55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[422]) ).

thf(483,plain,
    ! [SV176: $i,SV116: $i,SV56: $i] :
      ( ( ! [SY946: $i,SY947: $i,SY948: $i,SY949: $i,SY950: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SY946 @ SY947 @ SY948 @ SY949 @ SY950 )
                  | ~ ( perp @ SY947 @ SY948 @ SY949 @ SY950 ) )
            | ( perp @ SV56 @ SV116 @ SV176 @ SY946 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[423]) ).

thf(484,plain,
    ! [SV177: $i,SV117: $i,SV57: $i] :
      ( ( ! [SY951: $i,SY952: $i,SY953: $i,SY954: $i,SY955: $i] :
            ( ~ ( eqangle @ SV57 @ SV117 @ SV177 @ SY951 @ SY952 @ SY953 @ SY954 @ SY955 )
            | ( eqangle @ SY952 @ SY953 @ SY954 @ SY955 @ SV57 @ SV117 @ SV177 @ SY951 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(485,plain,
    ! [SV178: $i,SV118: $i,SV58: $i] :
      ( ( ! [SY956: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV58 @ SV118 @ SV178 @ SY956 @ SV178 @ SY956 @ SV58 @ SV118 )
                  | ~ ~ ( perp @ SV58 @ SV118 @ SV178 @ SY956 ) )
            | ( para @ SV58 @ SV118 @ SV178 @ SY956 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(486,plain,
    ! [SV179: $i,SV119: $i,SV59: $i] :
      ( ( ! [SY957: $i,SY958: $i,SY959: $i,SY960: $i,SY961: $i] :
            ( ~ ( eqangle @ SV59 @ SV119 @ SV179 @ SY957 @ SY958 @ SY959 @ SY960 @ SY961 )
            | ( eqangle @ SV179 @ SY957 @ SV59 @ SV119 @ SY960 @ SY961 @ SY958 @ SY959 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(487,plain,
    ! [SV180: $i,SV120: $i,SV60: $i] :
      ( ( ! [SY962: $i] :
            ( ~ ( perp @ SV60 @ SV120 @ SV180 @ SY962 )
            | ( perp @ SV180 @ SY962 @ SV60 @ SV120 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(488,plain,
    ! [SV181: $i,SV61: $i,SV1: $i] :
      ( ( ! [SY963: $i,SY964: $i,SY965: $i] :
            ~ ! [SY966: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY965 @ SV1 @ SV61 )
                                    | ~ ( para @ SV1 @ SV181 @ SY964 @ SY965 ) )
                              | ~ ( para @ SV1 @ SV181 @ SV61 @ SY963 ) )
                        | ~ ( coll @ SV181 @ SY963 @ SY964 ) )
                  | ~ ( ~ ( coll @ SY966 @ SV1 @ SY963 )
                      | ~ ( coll @ SY966 @ SY965 @ SY964 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(489,plain,
    ! [SV182: $i,SV122: $i,SV62: $i,SV2: $i] :
      ( ( ! [SY967: $i,SY968: $i] :
            ~ ! [SY969: $i] :
                ~ ~ ! [SY970: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY967 @ SV2 @ SV62 @ SV122 )
                                          | ~ ( cong @ SY967 @ SV2 @ SY967 @ SV182 ) )
                                    | ~ ( cong @ SY968 @ SV2 @ SY968 @ SV62 ) )
                              | ~ ( ( SY967 != SY968 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY969 @ SV2 @ SV122 )
                                        | ~ ( cong @ SY969 @ SY968 @ SY968 @ SV2 ) )
                                  | ~ ( coll @ SY970 @ SV62 @ SV182 ) )
                            | ~ ( cong @ SY970 @ SY968 @ SY968 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(490,plain,
    ! [SV123: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ! [SY971: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SV183 @ SV3 @ SV63 )
                        | ~ ( para @ SV183 @ SY971 @ SV63 @ SV123 ) )
                  | ~ ( coll @ SY971 @ SV3 @ SV123 ) )
            | ( midp @ SY971 @ SV3 @ SV123 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[430]) ).

thf(491,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ~ ! [SY972: $i] :
              ~ ~ ! [SY973: $i] :
                    ~ ( ~ ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
                            | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY972 @ SV124 @ SV64 )
                                      | ~ ( perp @ SV4 @ SY972 @ SV124 @ SV64 ) )
                                | ~ ( coll @ SY973 @ SV124 @ SV4 ) )
                          | ~ ( perp @ SV64 @ SY973 @ SV124 @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(492,plain,
    ! [SV185: $i,SV125: $i,SV65: $i,SV5: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV5 @ SV65 @ SV125 @ SV185 @ SV125 @ SV185 @ SV5 @ SV65 )
              | ~ ~ ( para @ SV5 @ SV65 @ SV125 @ SV185 ) )
        | ( perp @ SV5 @ SV65 @ SV125 @ SV185 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(493,plain,
    ! [SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY974: $i,SY975: $i,SY976: $i,SY977: $i,SY978: $i,SY979: $i,SY980: $i,SY981: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SY974 @ SY975 @ SY976 @ SY977 )
                  | ~ ( eqangle @ SY974 @ SY975 @ SY976 @ SY977 @ SY978 @ SY979 @ SY980 @ SY981 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SY978 @ SY979 @ SY980 @ SY981 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(494,plain,
    ! [SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ! [SY982: $i] :
            ~ ! [SY983: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
                        | ~ ( coll @ SV67 @ SV187 @ SY982 ) )
                  | ~ ( ~ ( coll @ SY983 @ SV187 @ SY982 )
                      | ~ ( perp @ SY983 @ SV7 @ SV187 @ SY982 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(495,plain,
    ! [SV128: $i,SV68: $i,SV8: $i] :
      ( ( ( ~ ( coll @ SV8 @ SV68 @ SV128 ) )
        = $true )
      | ( ( coll @ SV8 @ SV128 @ SV68 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[435]) ).

thf(496,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ~ ! [SY984: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
                      | ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) )
                | ~ ( ~ ( coll @ SV69 @ SV9 @ SY984 )
                    | ~ ( coll @ SY984 @ SV129 @ SV188 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(497,plain,
    ! [SV189: $i,SV70: $i,SV10: $i,SV130: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV130 @ SV10 @ SV130 @ SV70 @ SV189 @ SV10 @ SV189 @ SV70 )
              | ~ ( coll @ SV130 @ SV189 @ SV70 ) )
        | ( cyclic @ SV10 @ SV70 @ SV130 @ SV189 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[437]) ).

thf(498,plain,
    ! [SV190: $i,SV131: $i,SV71: $i,SV11: $i] :
      ( ( ! [SY985: $i,SY986: $i] :
            ( ~ ( para @ SV11 @ SV71 @ SV131 @ SV190 )
            | ( eqangle @ SV11 @ SV71 @ SY985 @ SY986 @ SV131 @ SV190 @ SY985 @ SY986 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[438]) ).

thf(499,plain,
    ! [SV191: $i,SV132: $i,SV72: $i,SV12: $i] :
      ( ( ! [SY987: $i,SY988: $i] :
            ( ~ ( simtri @ SV12 @ SV72 @ SV132 @ SV191 @ SY987 @ SY988 )
            | ( eqangle @ SV12 @ SV72 @ SV72 @ SV132 @ SV191 @ SY987 @ SY987 @ SY988 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[439]) ).

thf(500,plain,
    ! [SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ! [SY989: $i,SY990: $i,SY991: $i,SY992: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SY989 @ SY990 @ SY991 @ SY992 )
                  | ~ ( para @ SY989 @ SY990 @ SY991 @ SY992 ) )
            | ( para @ SV13 @ SV73 @ SV133 @ SV192 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[440]) ).

thf(501,plain,
    ! [SV134: $i,SV74: $i,SV14: $i,SV193: $i] :
      ( ( ! [SY993: $i] :
            ( ~ ~ ( ~ ( circle @ SV193 @ SV14 @ SV74 @ SV134 )
                  | ~ ( eqangle @ SV14 @ SY993 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 ) )
            | ( perp @ SV193 @ SV14 @ SV14 @ SY993 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(502,plain,
    ! [SV135: $i,SV75: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV15 @ SV75 @ SV15 @ SV135 )
                | ~ ( coll @ SV15 @ SV75 @ SV135 ) ) )
        = $true )
      | ( ( midp @ SV15 @ SV75 @ SV135 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[442]) ).

thf(503,plain,
    ! [SV136: $i,SV76: $i,SV16: $i,SV194: $i] :
      ( ( ! [SY994: $i] :
            ( ~ ~ ( ~ ( midp @ SV194 @ SV16 @ SV76 )
                  | ~ ( midp @ SY994 @ SV16 @ SV136 ) )
            | ( para @ SV194 @ SY994 @ SV76 @ SV136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(504,plain,
    ! [SV195: $i,SV137: $i,SV77: $i,SV17: $i] :
      ( ( ! [SY995: $i,SY996: $i,SY997: $i,SY998: $i] :
            ( ~ ( eqangle @ SV17 @ SV77 @ SV137 @ SV195 @ SY995 @ SY996 @ SY997 @ SY998 )
            | ( eqangle @ SV17 @ SV77 @ SY995 @ SY996 @ SV137 @ SV195 @ SY997 @ SY998 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(505,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ! [SY877: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
                    | ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) )
              | ~ ( ~ ( coll @ SV18 @ SV138 @ SY877 )
                  | ~ ( cong @ SV138 @ SV18 @ SV138 @ SY877 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(506,plain,
    ! [SV139: $i,SV79: $i,SV19: $i,SV196: $i] :
      ( ( ! [SY999: $i] :
            ( ~ ~ ( ~ ( circle @ SV196 @ SV19 @ SV79 @ SV139 )
                  | ~ ( midp @ SY999 @ SV79 @ SV139 ) )
            | ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SV196 @ SV79 @ SV196 @ SY999 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(507,plain,
    ! [SV140: $i,SV80: $i,SV20: $i,SV197: $i] :
      ( ( ! [SY1000: $i] :
            ( ~ ~ ( ~ ( circle @ SV197 @ SV20 @ SV80 @ SV140 )
                  | ~ ( perp @ SV197 @ SV20 @ SV20 @ SY1000 ) )
            | ( eqangle @ SV20 @ SY1000 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[447]) ).

thf(508,plain,
    ! [SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ! [SY1001: $i,SY1002: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SY1001 @ SY1001 @ SY1002 )
                        | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SY1002 @ SY1001 @ SY1002 ) )
                  | ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
            | ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SY1001 @ SY1002 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[448]) ).

thf(509,plain,
    ! [SV199: $i,SV142: $i,SV82: $i,SV22: $i] :
      ( ( ! [SY1003: $i,SY1004: $i] :
            ( ~ ~ ( ~ ( midp @ SY1003 @ SV22 @ SV82 )
                  | ~ ( midp @ SY1004 @ SV142 @ SV199 ) )
            | ( eqratio @ SY1003 @ SV22 @ SV22 @ SV82 @ SY1004 @ SV142 @ SV142 @ SV199 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[449]) ).

thf(510,plain,
    ! [SV143: $i,SV83: $i,SV23: $i,SV200: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV200 @ SV23 @ SV83 @ SV143 )
              | ~ ( coll @ SV200 @ SV23 @ SV143 ) )
        | ( perp @ SV23 @ SV83 @ SV83 @ SV143 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(511,plain,
    ! [SV24: $i,SV84: $i,SV144: $i] :
      ( ( ( ~ ( midp @ SV144 @ SV84 @ SV24 ) )
        = $true )
      | ( ( midp @ SV144 @ SV24 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[451]) ).

thf(512,plain,
    ! [SV85: $i,SV25: $i,SV145: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV145 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SV145 @ SV85 )
                | ~ ~ ( coll @ SV145 @ SV25 @ SV85 ) ) )
        = $true )
      | ( ( cong @ SV145 @ SV25 @ SV145 @ SV85 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[452]) ).

thf(513,plain,
    ! [SV146: $i,SV86: $i,SV26: $i] :
      ( ( ( ~ ( coll @ SV26 @ SV86 @ SV146 ) )
        = $true )
      | ( ( coll @ SV86 @ SV26 @ SV146 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[453]) ).

thf(514,plain,
    ! [SV201: $i,SV87: $i,SV27: $i,SV147: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV147 @ SV27 @ SV87 )
              | ~ ( perp @ SV201 @ SV147 @ SV27 @ SV87 ) )
        | ( cong @ SV201 @ SV27 @ SV201 @ SV87 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[454]) ).

thf(515,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ~ ! [SY1005: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
                      | ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) )
                | ~ ( ~ ( coll @ SV88 @ SV28 @ SY1005 )
                    | ~ ( coll @ SY1005 @ SV148 @ SV202 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[455]) ).

thf(516,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ~ ! [SY1006: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
                      | ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) )
                | ( circle @ SY1006 @ SV29 @ SV89 @ SV149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[456]) ).

thf(517,plain,
    ! [SV204: $i,SV150: $i,SV90: $i,SV30: $i] :
      ( ( ! [SY1007: $i,SY1008: $i] :
            ( ~ ~ ( ~ ( para @ SV30 @ SV90 @ SV150 @ SV204 )
                  | ~ ( perp @ SV150 @ SV204 @ SY1007 @ SY1008 ) )
            | ( perp @ SV30 @ SV90 @ SY1007 @ SY1008 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[457]) ).

thf(518,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ~ ! [SY1009: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
                      | ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) )
                | ~ ( ~ ( coll @ SY1009 @ SV31 @ SV91 )
                    | ~ ( coll @ SY1009 @ SV151 @ SV205 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(519,plain,
    ! [SV152: $i,SV92: $i,SV32: $i] :
      ( ( ( ~ ( midp @ SV32 @ SV92 @ SV152 ) )
        = $true )
      | ( ( cong @ SV32 @ SV92 @ SV32 @ SV152 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[459]) ).

thf(520,plain,
    ! [SV206: $i,SV153: $i,SV93: $i,SV33: $i] :
      ( ( ! [SY1010: $i,SY1011: $i] :
            ( ~ ~ ( ~ ( perp @ SV33 @ SV93 @ SV153 @ SV206 )
                  | ~ ( perp @ SV153 @ SV206 @ SY1010 @ SY1011 ) )
            | ( para @ SV33 @ SV93 @ SY1010 @ SY1011 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[460]) ).

thf(521,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i] :
      ( ( ! [SY1012: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1012 @ SV34 @ SV94 )
                        | ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) )
                  | ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
            | ( midp @ SY1012 @ SV154 @ SV207 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[461]) ).

thf(522,plain,
    ! [SV208: $i,SV155: $i,SV95: $i,SV35: $i] :
      ( ( ~ ( cyclic @ SV35 @ SV95 @ SV155 @ SV208 )
        | ( eqangle @ SV155 @ SV35 @ SV155 @ SV95 @ SV208 @ SV35 @ SV208 @ SV95 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[462]) ).

thf(523,plain,
    ! [SV209: $i,SV156: $i,SV96: $i,SV36: $i] :
      ( ( ! [SY1013: $i,SY1014: $i,SY1015: $i,SY1016: $i] :
            ( ~ ( eqangle @ SV36 @ SV96 @ SV156 @ SV209 @ SY1013 @ SY1014 @ SY1015 @ SY1016 )
            | ( eqangle @ SV96 @ SV36 @ SV156 @ SV209 @ SY1013 @ SY1014 @ SY1015 @ SY1016 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(524,plain,
    ! [SV210: $i,SV97: $i,SV157: $i,SV37: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV37 @ SV157 @ SV97 @ SV157 )
              | ~ ( cong @ SV37 @ SV210 @ SV97 @ SV210 ) )
        | ( perp @ SV37 @ SV97 @ SV157 @ SV210 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[464]) ).

thf(525,plain,
    ! [SV98: $i,SV38: $i,SV158: $i] :
      ( ( ( ~ ( cong @ SV158 @ SV38 @ SV158 @ SV98 ) )
        = $true )
      | ( ( eqangle @ SV158 @ SV38 @ SV38 @ SV98 @ SV38 @ SV98 @ SV158 @ SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[465]) ).

thf(526,plain,
    ! [SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ! [SY1017: $i] :
            ~ ! [SY1018: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SY1017 )
                        | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
                  | ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SY1018 @ SV99 @ SY1018 )
                      | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ SY1018 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[466]) ).

thf(527,plain,
    ! [SV212: $i,SV160: $i,SV100: $i,SV40: $i] :
      ( ( ! [SY1019: $i,SY1020: $i,SY1021: $i] :
            ~ ! [SY1022: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1019 @ SV40 @ SV100 )
                                    | ~ ( midp @ SY1020 @ SV160 @ SV212 ) )
                              | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
                        | ~ ( coll @ SV212 @ SV40 @ SV100 ) )
                  | ( midp @ SY1022 @ SV40 @ SY1021 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[467]) ).

thf(528,plain,
    ! [SV213: $i,SV161: $i,SV101: $i,SV41: $i] :
      ( ( ! [SY1023: $i,SY1024: $i] :
            ~ ! [SY1025: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SY1023 @ SV41 @ SV101 )
                        | ~ ( midp @ SY1024 @ SV161 @ SV213 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY1025 @ SV41 @ SV213 )
                            | ~ ( para @ SY1025 @ SY1023 @ SV101 @ SV213 ) )
                      | ~ ( para @ SY1025 @ SY1024 @ SV41 @ SV161 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(529,plain,
    ! [SV214: $i,SV162: $i,SV102: $i,SV42: $i] :
      ( ( ! [SY1026: $i] :
            ( ~ ~ ( ~ ( midp @ SY1026 @ SV42 @ SV102 )
                  | ~ ( midp @ SY1026 @ SV162 @ SV214 ) )
            | ( para @ SV42 @ SV162 @ SV102 @ SV214 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(530,plain,
    ! [SV215: $i,SV163: $i,SV103: $i,SV43: $i] :
      ( ( ! [SY1027: $i,SY1028: $i] :
            ( ~ ( eqangle @ SV43 @ SV103 @ SY1027 @ SY1028 @ SV163 @ SV215 @ SY1027 @ SY1028 )
            | ( para @ SV43 @ SV103 @ SV163 @ SV215 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(531,plain,
    ! [SV164: $i,SV104: $i,SV44: $i,SV216: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV216 @ SV44 @ SV216 @ SV104 )
              | ~ ( cong @ SV216 @ SV44 @ SV216 @ SV164 ) )
        | ( circle @ SV216 @ SV44 @ SV104 @ SV164 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(532,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ~ ! [SY1029: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
                      | ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) )
                | ~ ( ~ ( coll @ SV105 @ SV45 @ SY1029 )
                    | ~ ( coll @ SY1029 @ SV165 @ SV217 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[472]) ).

thf(533,plain,
    ! [SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ! [SY1030: $i,SY1031: $i] :
            ~ ! [SY1032: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                                    | ~ ( coll @ SY1030 @ SV46 @ SV166 ) )
                              | ~ ( coll @ SY1030 @ SV106 @ SV218 ) )
                        | ~ ( coll @ SY1031 @ SV46 @ SV106 ) )
                  | ~ ( ~ ( coll @ SY1030 @ SY1031 @ SY1032 )
                      | ~ ( coll @ SY1032 @ SV166 @ SV218 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[473]) ).

thf(534,plain,
    ! [SV219: $i,SV167: $i,SV107: $i,SV47: $i] :
      ( ( ~ ( perp @ SV47 @ SV107 @ SV167 @ SV219 )
        | ( perp @ SV47 @ SV107 @ SV219 @ SV167 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[474]) ).

thf(535,plain,
    ! [SV168: $i,SV108: $i,SV48: $i] :
      ( ( ( ~ ( para @ SV48 @ SV108 @ SV48 @ SV168 ) )
        = $true )
      | ( ( coll @ SV48 @ SV108 @ SV168 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[475]) ).

thf(536,plain,
    ! [SV169: $i,SV109: $i,SV49: $i,SV220: $i] :
      ( ( ~ ! [SY1033: $i] :
              ~ ( ~ ( circle @ SV220 @ SV49 @ SV109 @ SV169 )
                | ( perp @ SY1033 @ SV49 @ SV49 @ SV220 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[476]) ).

thf(537,plain,
    ! [SV221: $i,SV110: $i,SV50: $i,SV170: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SV221 @ SV50 @ SV221 @ SV110 )
              | ~ ~ ( coll @ SV170 @ SV221 @ SV50 ) )
        | ( cyclic @ SV50 @ SV110 @ SV170 @ SV221 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(538,plain,
    ! [SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ! [SY1034: $i] :
            ~ ! [SY1035: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                              | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
                        | ~ ( midp @ SY1034 @ SV111 @ SV222 ) )
                  | ( midp @ SY1035 @ SV51 @ SV171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[478]) ).

thf(539,plain,
    ! [SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ! [SY1036: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
                        | ~ ( coll @ SY1036 @ SV112 @ SV172 ) )
                  | ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SY1036 ) )
            | ( midp @ SY1036 @ SV112 @ SV172 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(540,plain,
    ! [SV224: $i,SV173: $i,SV113: $i,SV53: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV53 @ SV113 @ SV113 @ SV173 )
              | ~ ( midp @ SV224 @ SV53 @ SV173 ) )
        | ( cong @ SV53 @ SV224 @ SV113 @ SV224 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[480]) ).

thf(541,plain,
    ! [SV174: $i,SV114: $i,SV54: $i] :
      ( ( ( ~ ( midp @ SV54 @ SV114 @ SV174 ) )
        = $true )
      | ( ( coll @ SV54 @ SV114 @ SV174 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[481]) ).

thf(542,plain,
    ! [SV225: $i,SV175: $i,SV115: $i,SV55: $i] :
      ( ( ~ ~ ( ~ ( coll @ SV55 @ SV115 @ SV175 )
              | ~ ( coll @ SV55 @ SV115 @ SV225 ) )
        | ( coll @ SV175 @ SV225 @ SV55 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[482]) ).

thf(543,plain,
    ! [SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ! [SY1037: $i,SY1038: $i,SY1039: $i,SY1040: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SY1037 @ SY1038 @ SY1039 @ SY1040 )
                  | ~ ( perp @ SY1037 @ SY1038 @ SY1039 @ SY1040 ) )
            | ( perp @ SV56 @ SV116 @ SV176 @ SV226 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[483]) ).

thf(544,plain,
    ! [SV227: $i,SV177: $i,SV117: $i,SV57: $i] :
      ( ( ! [SY1041: $i,SY1042: $i,SY1043: $i,SY1044: $i] :
            ( ~ ( eqangle @ SV57 @ SV117 @ SV177 @ SV227 @ SY1041 @ SY1042 @ SY1043 @ SY1044 )
            | ( eqangle @ SY1041 @ SY1042 @ SY1043 @ SY1044 @ SV57 @ SV117 @ SV177 @ SV227 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[484]) ).

thf(545,plain,
    ! [SV228: $i,SV178: $i,SV118: $i,SV58: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV58 @ SV118 @ SV178 @ SV228 @ SV178 @ SV228 @ SV58 @ SV118 )
              | ~ ~ ( perp @ SV58 @ SV118 @ SV178 @ SV228 ) )
        | ( para @ SV58 @ SV118 @ SV178 @ SV228 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[485]) ).

thf(546,plain,
    ! [SV229: $i,SV179: $i,SV119: $i,SV59: $i] :
      ( ( ! [SY1045: $i,SY1046: $i,SY1047: $i,SY1048: $i] :
            ( ~ ( eqangle @ SV59 @ SV119 @ SV179 @ SV229 @ SY1045 @ SY1046 @ SY1047 @ SY1048 )
            | ( eqangle @ SV179 @ SV229 @ SV59 @ SV119 @ SY1047 @ SY1048 @ SY1045 @ SY1046 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[486]) ).

thf(547,plain,
    ! [SV230: $i,SV180: $i,SV120: $i,SV60: $i] :
      ( ( ~ ( perp @ SV60 @ SV120 @ SV180 @ SV230 )
        | ( perp @ SV180 @ SV230 @ SV60 @ SV120 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(548,plain,
    ! [SV231: $i,SV181: $i,SV61: $i,SV1: $i] :
      ( ( ! [SY1049: $i,SY1050: $i] :
            ~ ! [SY1051: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1050 @ SV1 @ SV61 )
                                    | ~ ( para @ SV1 @ SV181 @ SY1049 @ SY1050 ) )
                              | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
                        | ~ ( coll @ SV181 @ SV231 @ SY1049 ) )
                  | ~ ( ~ ( coll @ SY1051 @ SV1 @ SV231 )
                      | ~ ( coll @ SY1051 @ SY1050 @ SY1049 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(549,plain,
    ! [SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ! [SY1052: $i] :
            ~ ! [SY1053: $i] :
                ~ ~ ! [SY1054: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                                          | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                                    | ~ ( cong @ SY1052 @ SV2 @ SY1052 @ SV62 ) )
                              | ~ ( ( SV232 != SY1052 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1053 @ SV2 @ SV122 )
                                        | ~ ( cong @ SY1053 @ SY1052 @ SY1052 @ SV2 ) )
                                  | ~ ( coll @ SY1054 @ SV62 @ SV182 ) )
                            | ~ ( cong @ SY1054 @ SY1052 @ SY1052 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[489]) ).

thf(550,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV183 @ SV3 @ SV63 )
                    | ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) )
              | ~ ( coll @ SV233 @ SV3 @ SV123 ) )
        | ( midp @ SV233 @ SV3 @ SV123 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[490]) ).

thf(551,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ! [SY972: $i] :
            ~ ~ ! [SY973: $i] :
                  ~ ( ~ ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
                          | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY972 @ SV124 @ SV64 )
                                    | ~ ( perp @ SV4 @ SY972 @ SV124 @ SV64 ) )
                              | ~ ( coll @ SY973 @ SV124 @ SV4 ) )
                        | ~ ( perp @ SV64 @ SY973 @ SV124 @ SV4 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(552,plain,
    ! [SV185: $i,SV125: $i,SV65: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV5 @ SV65 @ SV125 @ SV185 @ SV125 @ SV185 @ SV5 @ SV65 )
                | ~ ~ ( para @ SV5 @ SV65 @ SV125 @ SV185 ) ) )
        = $true )
      | ( ( perp @ SV5 @ SV65 @ SV125 @ SV185 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[492]) ).

thf(553,plain,
    ! [SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY1055: $i,SY1056: $i,SY1057: $i,SY1058: $i,SY1059: $i,SY1060: $i,SY1061: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SY1055 @ SY1056 @ SY1057 )
                  | ~ ( eqangle @ SV234 @ SY1055 @ SY1056 @ SY1057 @ SY1058 @ SY1059 @ SY1060 @ SY1061 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SY1058 @ SY1059 @ SY1060 @ SY1061 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[493]) ).

thf(554,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ~ ! [SY1062: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
                      | ~ ( coll @ SV67 @ SV187 @ SV235 ) )
                | ~ ( ~ ( coll @ SY1062 @ SV187 @ SV235 )
                    | ~ ( perp @ SY1062 @ SV7 @ SV187 @ SV235 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[494]) ).

thf(555,plain,
    ! [SV128: $i,SV68: $i,SV8: $i] :
      ( ( ( coll @ SV8 @ SV68 @ SV128 )
        = $false )
      | ( ( coll @ SV8 @ SV128 @ SV68 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(556,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ! [SY984: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
                    | ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) )
              | ~ ( ~ ( coll @ SV69 @ SV9 @ SY984 )
                  | ~ ( coll @ SY984 @ SV129 @ SV188 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[496]) ).

thf(557,plain,
    ! [SV189: $i,SV70: $i,SV10: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV130 @ SV10 @ SV130 @ SV70 @ SV189 @ SV10 @ SV189 @ SV70 )
                | ~ ( coll @ SV130 @ SV189 @ SV70 ) ) )
        = $true )
      | ( ( cyclic @ SV10 @ SV70 @ SV130 @ SV189 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[497]) ).

thf(558,plain,
    ! [SV236: $i,SV190: $i,SV131: $i,SV71: $i,SV11: $i] :
      ( ( ! [SY1063: $i] :
            ( ~ ( para @ SV11 @ SV71 @ SV131 @ SV190 )
            | ( eqangle @ SV11 @ SV71 @ SV236 @ SY1063 @ SV131 @ SV190 @ SV236 @ SY1063 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[498]) ).

thf(559,plain,
    ! [SV237: $i,SV191: $i,SV132: $i,SV72: $i,SV12: $i] :
      ( ( ! [SY1064: $i] :
            ( ~ ( simtri @ SV12 @ SV72 @ SV132 @ SV191 @ SV237 @ SY1064 )
            | ( eqangle @ SV12 @ SV72 @ SV72 @ SV132 @ SV191 @ SV237 @ SV237 @ SY1064 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(560,plain,
    ! [SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ! [SY1065: $i,SY1066: $i,SY1067: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SY1065 @ SY1066 @ SY1067 )
                  | ~ ( para @ SV238 @ SY1065 @ SY1066 @ SY1067 ) )
            | ( para @ SV13 @ SV73 @ SV133 @ SV192 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(561,plain,
    ! [SV239: $i,SV134: $i,SV74: $i,SV14: $i,SV193: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV193 @ SV14 @ SV74 @ SV134 )
              | ~ ( eqangle @ SV14 @ SV239 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 ) )
        | ( perp @ SV193 @ SV14 @ SV14 @ SV239 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(562,plain,
    ! [SV135: $i,SV75: $i,SV15: $i] :
      ( ( ( ~ ( ~ ( cong @ SV15 @ SV75 @ SV15 @ SV135 )
              | ~ ( coll @ SV15 @ SV75 @ SV135 ) ) )
        = $false )
      | ( ( midp @ SV15 @ SV75 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[502]) ).

thf(563,plain,
    ! [SV136: $i,SV240: $i,SV76: $i,SV16: $i,SV194: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV194 @ SV16 @ SV76 )
              | ~ ( midp @ SV240 @ SV16 @ SV136 ) )
        | ( para @ SV194 @ SV240 @ SV76 @ SV136 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[503]) ).

thf(564,plain,
    ! [SV241: $i,SV195: $i,SV137: $i,SV77: $i,SV17: $i] :
      ( ( ! [SY1068: $i,SY1069: $i,SY1070: $i] :
            ( ~ ( eqangle @ SV17 @ SV77 @ SV137 @ SV195 @ SV241 @ SY1068 @ SY1069 @ SY1070 )
            | ( eqangle @ SV17 @ SV77 @ SV241 @ SY1068 @ SV137 @ SV195 @ SY1069 @ SY1070 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(565,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
                  | ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) )
            | ~ ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
                | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[505]) ).

thf(566,plain,
    ! [SV242: $i,SV139: $i,SV79: $i,SV19: $i,SV196: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV196 @ SV19 @ SV79 @ SV139 )
              | ~ ( midp @ SV242 @ SV79 @ SV139 ) )
        | ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SV196 @ SV79 @ SV196 @ SV242 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(567,plain,
    ! [SV243: $i,SV140: $i,SV80: $i,SV20: $i,SV197: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV197 @ SV20 @ SV80 @ SV140 )
              | ~ ( perp @ SV197 @ SV20 @ SV20 @ SV243 ) )
        | ( eqangle @ SV20 @ SV243 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(568,plain,
    ! [SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ! [SY1071: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SY1071 )
                        | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SY1071 @ SV244 @ SY1071 ) )
                  | ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
            | ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SY1071 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[508]) ).

thf(569,plain,
    ! [SV199: $i,SV142: $i,SV82: $i,SV22: $i,SV245: $i] :
      ( ( ! [SY1072: $i] :
            ( ~ ~ ( ~ ( midp @ SV245 @ SV22 @ SV82 )
                  | ~ ( midp @ SY1072 @ SV142 @ SV199 ) )
            | ( eqratio @ SV245 @ SV22 @ SV22 @ SV82 @ SY1072 @ SV142 @ SV142 @ SV199 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[509]) ).

thf(570,plain,
    ! [SV143: $i,SV83: $i,SV23: $i,SV200: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV200 @ SV23 @ SV83 @ SV143 )
                | ~ ( coll @ SV200 @ SV23 @ SV143 ) ) )
        = $true )
      | ( ( perp @ SV23 @ SV83 @ SV83 @ SV143 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[510]) ).

thf(571,plain,
    ! [SV24: $i,SV84: $i,SV144: $i] :
      ( ( ( midp @ SV144 @ SV84 @ SV24 )
        = $false )
      | ( ( midp @ SV144 @ SV24 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(572,plain,
    ! [SV85: $i,SV25: $i,SV145: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV145 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SV145 @ SV85 )
              | ~ ~ ( coll @ SV145 @ SV25 @ SV85 ) ) )
        = $false )
      | ( ( cong @ SV145 @ SV25 @ SV145 @ SV85 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[512]) ).

thf(573,plain,
    ! [SV146: $i,SV86: $i,SV26: $i] :
      ( ( ( coll @ SV26 @ SV86 @ SV146 )
        = $false )
      | ( ( coll @ SV86 @ SV26 @ SV146 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[513]) ).

thf(574,plain,
    ! [SV201: $i,SV87: $i,SV27: $i,SV147: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV147 @ SV27 @ SV87 )
                | ~ ( perp @ SV201 @ SV147 @ SV27 @ SV87 ) ) )
        = $true )
      | ( ( cong @ SV201 @ SV27 @ SV201 @ SV87 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[514]) ).

thf(575,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ! [SY1005: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
                    | ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) )
              | ~ ( ~ ( coll @ SV88 @ SV28 @ SY1005 )
                  | ~ ( coll @ SY1005 @ SV148 @ SV202 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(576,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ! [SY1006: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
                    | ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) )
              | ( circle @ SY1006 @ SV29 @ SV89 @ SV149 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[516]) ).

thf(577,plain,
    ! [SV246: $i,SV204: $i,SV150: $i,SV90: $i,SV30: $i] :
      ( ( ! [SY1073: $i] :
            ( ~ ~ ( ~ ( para @ SV30 @ SV90 @ SV150 @ SV204 )
                  | ~ ( perp @ SV150 @ SV204 @ SV246 @ SY1073 ) )
            | ( perp @ SV30 @ SV90 @ SV246 @ SY1073 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[517]) ).

thf(578,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ! [SY1009: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
                    | ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) )
              | ~ ( ~ ( coll @ SY1009 @ SV31 @ SV91 )
                  | ~ ( coll @ SY1009 @ SV151 @ SV205 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[518]) ).

thf(579,plain,
    ! [SV152: $i,SV92: $i,SV32: $i] :
      ( ( ( midp @ SV32 @ SV92 @ SV152 )
        = $false )
      | ( ( cong @ SV32 @ SV92 @ SV32 @ SV152 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(580,plain,
    ! [SV247: $i,SV206: $i,SV153: $i,SV93: $i,SV33: $i] :
      ( ( ! [SY1074: $i] :
            ( ~ ~ ( ~ ( perp @ SV33 @ SV93 @ SV153 @ SV206 )
                  | ~ ( perp @ SV153 @ SV206 @ SV247 @ SY1074 ) )
            | ( para @ SV33 @ SV93 @ SV247 @ SY1074 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[520]) ).

thf(581,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV248 @ SV34 @ SV94 )
                    | ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) )
              | ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
        | ( midp @ SV248 @ SV154 @ SV207 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[521]) ).

thf(582,plain,
    ! [SV208: $i,SV155: $i,SV95: $i,SV35: $i] :
      ( ( ( ~ ( cyclic @ SV35 @ SV95 @ SV155 @ SV208 ) )
        = $true )
      | ( ( eqangle @ SV155 @ SV35 @ SV155 @ SV95 @ SV208 @ SV35 @ SV208 @ SV95 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[522]) ).

thf(583,plain,
    ! [SV249: $i,SV209: $i,SV156: $i,SV96: $i,SV36: $i] :
      ( ( ! [SY1075: $i,SY1076: $i,SY1077: $i] :
            ( ~ ( eqangle @ SV36 @ SV96 @ SV156 @ SV209 @ SV249 @ SY1075 @ SY1076 @ SY1077 )
            | ( eqangle @ SV96 @ SV36 @ SV156 @ SV209 @ SV249 @ SY1075 @ SY1076 @ SY1077 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[523]) ).

thf(584,plain,
    ! [SV210: $i,SV97: $i,SV157: $i,SV37: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV37 @ SV157 @ SV97 @ SV157 )
                | ~ ( cong @ SV37 @ SV210 @ SV97 @ SV210 ) ) )
        = $true )
      | ( ( perp @ SV37 @ SV97 @ SV157 @ SV210 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[524]) ).

thf(585,plain,
    ! [SV98: $i,SV38: $i,SV158: $i] :
      ( ( ( cong @ SV158 @ SV38 @ SV158 @ SV98 )
        = $false )
      | ( ( eqangle @ SV158 @ SV38 @ SV38 @ SV98 @ SV38 @ SV98 @ SV158 @ SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(586,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ~ ! [SY1078: $i] :
              ~ ( ~ ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
                      | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
                | ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SY1078 @ SV99 @ SY1078 )
                    | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ SY1078 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[526]) ).

thf(587,plain,
    ! [SV212: $i,SV160: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ! [SY1079: $i,SY1080: $i] :
            ~ ! [SY1081: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                                    | ~ ( midp @ SY1079 @ SV160 @ SV212 ) )
                              | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
                        | ~ ( coll @ SV212 @ SV40 @ SV100 ) )
                  | ( midp @ SY1081 @ SV40 @ SY1080 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(588,plain,
    ! [SV213: $i,SV161: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ! [SY1082: $i] :
            ~ ! [SY1083: $i] :
                ~ ( ~ ~ ( ~ ( midp @ SV252 @ SV41 @ SV101 )
                        | ~ ( midp @ SY1082 @ SV161 @ SV213 ) )
                  | ~ ( ~ ~ ( ~ ( midp @ SY1083 @ SV41 @ SV213 )
                            | ~ ( para @ SY1083 @ SV252 @ SV101 @ SV213 ) )
                      | ~ ( para @ SY1083 @ SY1082 @ SV41 @ SV161 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[528]) ).

thf(589,plain,
    ! [SV214: $i,SV162: $i,SV102: $i,SV42: $i,SV253: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV253 @ SV42 @ SV102 )
              | ~ ( midp @ SV253 @ SV162 @ SV214 ) )
        | ( para @ SV42 @ SV162 @ SV102 @ SV214 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[529]) ).

thf(590,plain,
    ! [SV215: $i,SV163: $i,SV254: $i,SV103: $i,SV43: $i] :
      ( ( ! [SY1084: $i] :
            ( ~ ( eqangle @ SV43 @ SV103 @ SV254 @ SY1084 @ SV163 @ SV215 @ SV254 @ SY1084 )
            | ( para @ SV43 @ SV103 @ SV163 @ SV215 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[530]) ).

thf(591,plain,
    ! [SV164: $i,SV104: $i,SV44: $i,SV216: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV216 @ SV44 @ SV216 @ SV104 )
                | ~ ( cong @ SV216 @ SV44 @ SV216 @ SV164 ) ) )
        = $true )
      | ( ( circle @ SV216 @ SV44 @ SV104 @ SV164 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(592,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ! [SY1029: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
                    | ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) )
              | ~ ( ~ ( coll @ SV105 @ SV45 @ SY1029 )
                  | ~ ( coll @ SY1029 @ SV165 @ SV217 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[532]) ).

thf(593,plain,
    ! [SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ! [SY1085: $i] :
            ~ ! [SY1086: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                                    | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                              | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
                        | ~ ( coll @ SY1085 @ SV46 @ SV106 ) )
                  | ~ ( ~ ( coll @ SV255 @ SY1085 @ SY1086 )
                      | ~ ( coll @ SY1086 @ SV166 @ SV218 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[533]) ).

thf(594,plain,
    ! [SV219: $i,SV167: $i,SV107: $i,SV47: $i] :
      ( ( ( ~ ( perp @ SV47 @ SV107 @ SV167 @ SV219 ) )
        = $true )
      | ( ( perp @ SV47 @ SV107 @ SV219 @ SV167 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[534]) ).

thf(595,plain,
    ! [SV168: $i,SV108: $i,SV48: $i] :
      ( ( ( para @ SV48 @ SV108 @ SV48 @ SV168 )
        = $false )
      | ( ( coll @ SV48 @ SV108 @ SV168 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[535]) ).

thf(596,plain,
    ! [SV169: $i,SV109: $i,SV49: $i,SV220: $i] :
      ( ( ! [SY1033: $i] :
            ~ ( ~ ( circle @ SV220 @ SV49 @ SV109 @ SV169 )
              | ( perp @ SY1033 @ SV49 @ SV49 @ SV220 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(597,plain,
    ! [SV221: $i,SV110: $i,SV50: $i,SV170: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SV221 @ SV50 @ SV221 @ SV110 )
                | ~ ~ ( coll @ SV170 @ SV221 @ SV50 ) ) )
        = $true )
      | ( ( cyclic @ SV50 @ SV110 @ SV170 @ SV221 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[537]) ).

thf(598,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ~ ! [SY1087: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                            | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
                      | ~ ( midp @ SV256 @ SV111 @ SV222 ) )
                | ( midp @ SY1087 @ SV51 @ SV171 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[538]) ).

thf(599,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
                    | ~ ( coll @ SV257 @ SV112 @ SV172 ) )
              | ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) )
        | ( midp @ SV257 @ SV112 @ SV172 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(600,plain,
    ! [SV224: $i,SV173: $i,SV113: $i,SV53: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV53 @ SV113 @ SV113 @ SV173 )
                | ~ ( midp @ SV224 @ SV53 @ SV173 ) ) )
        = $true )
      | ( ( cong @ SV53 @ SV224 @ SV113 @ SV224 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[540]) ).

thf(601,plain,
    ! [SV174: $i,SV114: $i,SV54: $i] :
      ( ( ( midp @ SV54 @ SV114 @ SV174 )
        = $false )
      | ( ( coll @ SV54 @ SV114 @ SV174 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(602,plain,
    ! [SV225: $i,SV175: $i,SV115: $i,SV55: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ SV55 @ SV115 @ SV175 )
                | ~ ( coll @ SV55 @ SV115 @ SV225 ) ) )
        = $true )
      | ( ( coll @ SV175 @ SV225 @ SV55 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[542]) ).

thf(603,plain,
    ! [SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ! [SY1088: $i,SY1089: $i,SY1090: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SY1088 @ SY1089 @ SY1090 )
                  | ~ ( perp @ SV258 @ SY1088 @ SY1089 @ SY1090 ) )
            | ( perp @ SV56 @ SV116 @ SV176 @ SV226 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(604,plain,
    ! [SV259: $i,SV227: $i,SV177: $i,SV117: $i,SV57: $i] :
      ( ( ! [SY1091: $i,SY1092: $i,SY1093: $i] :
            ( ~ ( eqangle @ SV57 @ SV117 @ SV177 @ SV227 @ SV259 @ SY1091 @ SY1092 @ SY1093 )
            | ( eqangle @ SV259 @ SY1091 @ SY1092 @ SY1093 @ SV57 @ SV117 @ SV177 @ SV227 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[544]) ).

thf(605,plain,
    ! [SV228: $i,SV178: $i,SV118: $i,SV58: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV58 @ SV118 @ SV178 @ SV228 @ SV178 @ SV228 @ SV58 @ SV118 )
                | ~ ~ ( perp @ SV58 @ SV118 @ SV178 @ SV228 ) ) )
        = $true )
      | ( ( para @ SV58 @ SV118 @ SV178 @ SV228 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[545]) ).

thf(606,plain,
    ! [SV260: $i,SV229: $i,SV179: $i,SV119: $i,SV59: $i] :
      ( ( ! [SY1094: $i,SY1095: $i,SY1096: $i] :
            ( ~ ( eqangle @ SV59 @ SV119 @ SV179 @ SV229 @ SV260 @ SY1094 @ SY1095 @ SY1096 )
            | ( eqangle @ SV179 @ SV229 @ SV59 @ SV119 @ SY1095 @ SY1096 @ SV260 @ SY1094 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[546]) ).

thf(607,plain,
    ! [SV230: $i,SV180: $i,SV120: $i,SV60: $i] :
      ( ( ( ~ ( perp @ SV60 @ SV120 @ SV180 @ SV230 ) )
        = $true )
      | ( ( perp @ SV180 @ SV230 @ SV60 @ SV120 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(608,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i] :
      ( ( ! [SY1097: $i] :
            ~ ! [SY1098: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1097 @ SV1 @ SV61 )
                                    | ~ ( para @ SV1 @ SV181 @ SV261 @ SY1097 ) )
                              | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
                        | ~ ( coll @ SV181 @ SV231 @ SV261 ) )
                  | ~ ( ~ ( coll @ SY1098 @ SV1 @ SV231 )
                      | ~ ( coll @ SY1098 @ SY1097 @ SV261 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(609,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ~ ! [SY1099: $i] :
              ~ ~ ! [SY1100: $i] :
                    ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                                        | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                                  | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
                            | ~ ( ( SV232 != SV262 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1099 @ SV2 @ SV122 )
                                      | ~ ( cong @ SY1099 @ SV262 @ SV262 @ SV2 ) )
                                | ~ ( coll @ SY1100 @ SV62 @ SV182 ) )
                          | ~ ( cong @ SY1100 @ SV262 @ SV262 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[549]) ).

thf(610,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV183 @ SV3 @ SV63 )
                      | ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) )
                | ~ ( coll @ SV233 @ SV3 @ SV123 ) ) )
        = $true )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[550]) ).

thf(611,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ~ ~ ! [SY1101: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
                        | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                                  | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                            | ~ ( coll @ SY1101 @ SV124 @ SV4 ) )
                      | ~ ( perp @ SV64 @ SY1101 @ SV124 @ SV4 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[551]) ).

thf(612,plain,
    ! [SV185: $i,SV125: $i,SV65: $i,SV5: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV5 @ SV65 @ SV125 @ SV185 @ SV125 @ SV185 @ SV5 @ SV65 )
              | ~ ~ ( para @ SV5 @ SV65 @ SV125 @ SV185 ) ) )
        = $false )
      | ( ( perp @ SV5 @ SV65 @ SV125 @ SV185 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(613,plain,
    ! [SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY1102: $i,SY1103: $i,SY1104: $i,SY1105: $i,SY1106: $i,SY1107: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SY1102 @ SY1103 )
                  | ~ ( eqangle @ SV234 @ SV263 @ SY1102 @ SY1103 @ SY1104 @ SY1105 @ SY1106 @ SY1107 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SY1104 @ SY1105 @ SY1106 @ SY1107 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(614,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ! [SY1062: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
                    | ~ ( coll @ SV67 @ SV187 @ SV235 ) )
              | ~ ( ~ ( coll @ SY1062 @ SV187 @ SV235 )
                  | ~ ( perp @ SY1062 @ SV7 @ SV187 @ SV235 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(615,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
                  | ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) )
            | ~ ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
                | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[556]) ).

thf(616,plain,
    ! [SV189: $i,SV70: $i,SV10: $i,SV130: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV130 @ SV10 @ SV130 @ SV70 @ SV189 @ SV10 @ SV189 @ SV70 )
              | ~ ( coll @ SV130 @ SV189 @ SV70 ) ) )
        = $false )
      | ( ( cyclic @ SV10 @ SV70 @ SV130 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[557]) ).

thf(617,plain,
    ! [SV264: $i,SV236: $i,SV190: $i,SV131: $i,SV71: $i,SV11: $i] :
      ( ( ~ ( para @ SV11 @ SV71 @ SV131 @ SV190 )
        | ( eqangle @ SV11 @ SV71 @ SV236 @ SV264 @ SV131 @ SV190 @ SV236 @ SV264 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[558]) ).

thf(618,plain,
    ! [SV265: $i,SV237: $i,SV191: $i,SV132: $i,SV72: $i,SV12: $i] :
      ( ( ~ ( simtri @ SV12 @ SV72 @ SV132 @ SV191 @ SV237 @ SV265 )
        | ( eqangle @ SV12 @ SV72 @ SV72 @ SV132 @ SV191 @ SV237 @ SV237 @ SV265 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[559]) ).

thf(619,plain,
    ! [SV266: $i,SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ! [SY1108: $i,SY1109: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SY1108 @ SY1109 )
                  | ~ ( para @ SV238 @ SV266 @ SY1108 @ SY1109 ) )
            | ( para @ SV13 @ SV73 @ SV133 @ SV192 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(620,plain,
    ! [SV239: $i,SV134: $i,SV74: $i,SV14: $i,SV193: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV193 @ SV14 @ SV74 @ SV134 )
                | ~ ( eqangle @ SV14 @ SV239 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 ) ) )
        = $true )
      | ( ( perp @ SV193 @ SV14 @ SV14 @ SV239 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[561]) ).

thf(621,plain,
    ! [SV135: $i,SV75: $i,SV15: $i] :
      ( ( ( ~ ( cong @ SV15 @ SV75 @ SV15 @ SV135 )
          | ~ ( coll @ SV15 @ SV75 @ SV135 ) )
        = $true )
      | ( ( midp @ SV15 @ SV75 @ SV135 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[562]) ).

thf(622,plain,
    ! [SV136: $i,SV240: $i,SV76: $i,SV16: $i,SV194: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV194 @ SV16 @ SV76 )
                | ~ ( midp @ SV240 @ SV16 @ SV136 ) ) )
        = $true )
      | ( ( para @ SV194 @ SV240 @ SV76 @ SV136 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[563]) ).

thf(623,plain,
    ! [SV267: $i,SV241: $i,SV195: $i,SV137: $i,SV77: $i,SV17: $i] :
      ( ( ! [SY1110: $i,SY1111: $i] :
            ( ~ ( eqangle @ SV17 @ SV77 @ SV137 @ SV195 @ SV241 @ SV267 @ SY1110 @ SY1111 )
            | ( eqangle @ SV17 @ SV77 @ SV241 @ SV267 @ SV137 @ SV195 @ SY1110 @ SY1111 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(624,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
              | ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) )
        | ~ ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
            | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[565]) ).

thf(625,plain,
    ! [SV242: $i,SV139: $i,SV79: $i,SV19: $i,SV196: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV196 @ SV19 @ SV79 @ SV139 )
                | ~ ( midp @ SV242 @ SV79 @ SV139 ) ) )
        = $true )
      | ( ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SV196 @ SV79 @ SV196 @ SV242 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[566]) ).

thf(626,plain,
    ! [SV243: $i,SV140: $i,SV80: $i,SV20: $i,SV197: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV197 @ SV20 @ SV80 @ SV140 )
                | ~ ( perp @ SV197 @ SV20 @ SV20 @ SV243 ) ) )
        = $true )
      | ( ( eqangle @ SV20 @ SV243 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[567]) ).

thf(627,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
                    | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) )
              | ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        | ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(628,plain,
    ! [SV199: $i,SV142: $i,SV269: $i,SV82: $i,SV22: $i,SV245: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV245 @ SV22 @ SV82 )
              | ~ ( midp @ SV269 @ SV142 @ SV199 ) )
        | ( eqratio @ SV245 @ SV22 @ SV22 @ SV82 @ SV269 @ SV142 @ SV142 @ SV199 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[569]) ).

thf(629,plain,
    ! [SV143: $i,SV83: $i,SV23: $i,SV200: $i] :
      ( ( ( ~ ( ~ ( circle @ SV200 @ SV23 @ SV83 @ SV143 )
              | ~ ( coll @ SV200 @ SV23 @ SV143 ) ) )
        = $false )
      | ( ( perp @ SV23 @ SV83 @ SV83 @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(630,plain,
    ! [SV85: $i,SV25: $i,SV145: $i] :
      ( ( ( ~ ( eqangle @ SV145 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SV145 @ SV85 )
          | ~ ~ ( coll @ SV145 @ SV25 @ SV85 ) )
        = $true )
      | ( ( cong @ SV145 @ SV25 @ SV145 @ SV85 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[572]) ).

thf(631,plain,
    ! [SV201: $i,SV87: $i,SV27: $i,SV147: $i] :
      ( ( ( ~ ( ~ ( midp @ SV147 @ SV27 @ SV87 )
              | ~ ( perp @ SV201 @ SV147 @ SV27 @ SV87 ) ) )
        = $false )
      | ( ( cong @ SV201 @ SV27 @ SV201 @ SV87 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(632,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
                  | ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) )
            | ~ ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
                | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[575]) ).

thf(633,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
                  | ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) )
            | ( circle @ ( sK15_SY1006 @ SV203 @ SV89 @ SV149 @ SV29 ) @ SV29 @ SV89 @ SV149 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[576]) ).

thf(634,plain,
    ! [SV270: $i,SV246: $i,SV204: $i,SV150: $i,SV90: $i,SV30: $i] :
      ( ( ~ ~ ( ~ ( para @ SV30 @ SV90 @ SV150 @ SV204 )
              | ~ ( perp @ SV150 @ SV204 @ SV246 @ SV270 ) )
        | ( perp @ SV30 @ SV90 @ SV246 @ SV270 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[577]) ).

thf(635,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
                  | ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) )
            | ~ ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
                | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[578]) ).

thf(636,plain,
    ! [SV271: $i,SV247: $i,SV206: $i,SV153: $i,SV93: $i,SV33: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV33 @ SV93 @ SV153 @ SV206 )
              | ~ ( perp @ SV153 @ SV206 @ SV247 @ SV271 ) )
        | ( para @ SV33 @ SV93 @ SV247 @ SV271 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[580]) ).

thf(637,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV248 @ SV34 @ SV94 )
                      | ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) )
                | ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) ) )
        = $true )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[581]) ).

thf(638,plain,
    ! [SV208: $i,SV155: $i,SV95: $i,SV35: $i] :
      ( ( ( cyclic @ SV35 @ SV95 @ SV155 @ SV208 )
        = $false )
      | ( ( eqangle @ SV155 @ SV35 @ SV155 @ SV95 @ SV208 @ SV35 @ SV208 @ SV95 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(639,plain,
    ! [SV272: $i,SV249: $i,SV209: $i,SV156: $i,SV96: $i,SV36: $i] :
      ( ( ! [SY1112: $i,SY1113: $i] :
            ( ~ ( eqangle @ SV36 @ SV96 @ SV156 @ SV209 @ SV249 @ SV272 @ SY1112 @ SY1113 )
            | ( eqangle @ SV96 @ SV36 @ SV156 @ SV209 @ SV249 @ SV272 @ SY1112 @ SY1113 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[583]) ).

thf(640,plain,
    ! [SV210: $i,SV97: $i,SV157: $i,SV37: $i] :
      ( ( ( ~ ( ~ ( cong @ SV37 @ SV157 @ SV97 @ SV157 )
              | ~ ( cong @ SV37 @ SV210 @ SV97 @ SV210 ) ) )
        = $false )
      | ( ( perp @ SV37 @ SV97 @ SV157 @ SV210 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(641,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ! [SY1078: $i] :
            ~ ( ~ ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
                    | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
              | ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SY1078 @ SV99 @ SY1078 )
                  | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ SY1078 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(642,plain,
    ! [SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ! [SY1114: $i] :
            ~ ! [SY1115: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                                    | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                              | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
                        | ~ ( coll @ SV212 @ SV40 @ SV100 ) )
                  | ( midp @ SY1115 @ SV40 @ SY1114 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[587]) ).

thf(643,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ~ ! [SY1116: $i] :
              ~ ( ~ ~ ( ~ ( midp @ SV252 @ SV41 @ SV101 )
                      | ~ ( midp @ SV274 @ SV161 @ SV213 ) )
                | ~ ( ~ ~ ( ~ ( midp @ SY1116 @ SV41 @ SV213 )
                          | ~ ( para @ SY1116 @ SV252 @ SV101 @ SV213 ) )
                    | ~ ( para @ SY1116 @ SV274 @ SV41 @ SV161 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[588]) ).

thf(644,plain,
    ! [SV214: $i,SV162: $i,SV102: $i,SV42: $i,SV253: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV253 @ SV42 @ SV102 )
                | ~ ( midp @ SV253 @ SV162 @ SV214 ) ) )
        = $true )
      | ( ( para @ SV42 @ SV162 @ SV102 @ SV214 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[589]) ).

thf(645,plain,
    ! [SV215: $i,SV163: $i,SV275: $i,SV254: $i,SV103: $i,SV43: $i] :
      ( ( ~ ( eqangle @ SV43 @ SV103 @ SV254 @ SV275 @ SV163 @ SV215 @ SV254 @ SV275 )
        | ( para @ SV43 @ SV103 @ SV163 @ SV215 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[590]) ).

thf(646,plain,
    ! [SV164: $i,SV104: $i,SV44: $i,SV216: $i] :
      ( ( ( ~ ( ~ ( cong @ SV216 @ SV44 @ SV216 @ SV104 )
              | ~ ( cong @ SV216 @ SV44 @ SV216 @ SV164 ) ) )
        = $false )
      | ( ( circle @ SV216 @ SV44 @ SV104 @ SV164 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(647,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
                  | ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) )
            | ~ ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
                | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[592]) ).

thf(648,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ~ ! [SY1117: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                                  | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                            | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
                      | ~ ( coll @ SV276 @ SV46 @ SV106 ) )
                | ~ ( ~ ( coll @ SV255 @ SV276 @ SY1117 )
                    | ~ ( coll @ SY1117 @ SV166 @ SV218 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[593]) ).

thf(649,plain,
    ! [SV219: $i,SV167: $i,SV107: $i,SV47: $i] :
      ( ( ( perp @ SV47 @ SV107 @ SV167 @ SV219 )
        = $false )
      | ( ( perp @ SV47 @ SV107 @ SV219 @ SV167 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(650,plain,
    ! [SV169: $i,SV109: $i,SV49: $i,SV220: $i] :
      ( ( ~ ( ~ ( circle @ SV220 @ SV49 @ SV109 @ SV169 )
            | ( perp @ ( sK18_SY1033 @ SV169 @ SV109 @ SV49 @ SV220 ) @ SV49 @ SV49 @ SV220 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[596]) ).

thf(651,plain,
    ! [SV221: $i,SV110: $i,SV50: $i,SV170: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SV221 @ SV50 @ SV221 @ SV110 )
              | ~ ~ ( coll @ SV170 @ SV221 @ SV50 ) ) )
        = $false )
      | ( ( cyclic @ SV50 @ SV110 @ SV170 @ SV221 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(652,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ! [SY1087: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                          | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
                    | ~ ( midp @ SV256 @ SV111 @ SV222 ) )
              | ( midp @ SY1087 @ SV51 @ SV171 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(653,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
                      | ~ ( coll @ SV257 @ SV112 @ SV172 ) )
                | ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) ) )
        = $true )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[599]) ).

thf(654,plain,
    ! [SV224: $i,SV173: $i,SV113: $i,SV53: $i] :
      ( ( ( ~ ( ~ ( perp @ SV53 @ SV113 @ SV113 @ SV173 )
              | ~ ( midp @ SV224 @ SV53 @ SV173 ) ) )
        = $false )
      | ( ( cong @ SV53 @ SV224 @ SV113 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(655,plain,
    ! [SV225: $i,SV175: $i,SV115: $i,SV55: $i] :
      ( ( ( ~ ( ~ ( coll @ SV55 @ SV115 @ SV175 )
              | ~ ( coll @ SV55 @ SV115 @ SV225 ) ) )
        = $false )
      | ( ( coll @ SV175 @ SV225 @ SV55 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(656,plain,
    ! [SV277: $i,SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ! [SY1118: $i,SY1119: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SY1118 @ SY1119 )
                  | ~ ( perp @ SV258 @ SV277 @ SY1118 @ SY1119 ) )
            | ( perp @ SV56 @ SV116 @ SV176 @ SV226 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[603]) ).

thf(657,plain,
    ! [SV278: $i,SV259: $i,SV227: $i,SV177: $i,SV117: $i,SV57: $i] :
      ( ( ! [SY1120: $i,SY1121: $i] :
            ( ~ ( eqangle @ SV57 @ SV117 @ SV177 @ SV227 @ SV259 @ SV278 @ SY1120 @ SY1121 )
            | ( eqangle @ SV259 @ SV278 @ SY1120 @ SY1121 @ SV57 @ SV117 @ SV177 @ SV227 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[604]) ).

thf(658,plain,
    ! [SV228: $i,SV178: $i,SV118: $i,SV58: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV58 @ SV118 @ SV178 @ SV228 @ SV178 @ SV228 @ SV58 @ SV118 )
              | ~ ~ ( perp @ SV58 @ SV118 @ SV178 @ SV228 ) ) )
        = $false )
      | ( ( para @ SV58 @ SV118 @ SV178 @ SV228 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(659,plain,
    ! [SV279: $i,SV260: $i,SV229: $i,SV179: $i,SV119: $i,SV59: $i] :
      ( ( ! [SY1122: $i,SY1123: $i] :
            ( ~ ( eqangle @ SV59 @ SV119 @ SV179 @ SV229 @ SV260 @ SV279 @ SY1122 @ SY1123 )
            | ( eqangle @ SV179 @ SV229 @ SV59 @ SV119 @ SY1122 @ SY1123 @ SV260 @ SV279 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[606]) ).

thf(660,plain,
    ! [SV230: $i,SV180: $i,SV120: $i,SV60: $i] :
      ( ( ( perp @ SV60 @ SV120 @ SV180 @ SV230 )
        = $false )
      | ( ( perp @ SV180 @ SV230 @ SV60 @ SV120 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[607]) ).

thf(661,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ~ ! [SY1124: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                                  | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
                            | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
                      | ~ ( coll @ SV181 @ SV231 @ SV261 ) )
                | ~ ( ~ ( coll @ SY1124 @ SV1 @ SV231 )
                    | ~ ( coll @ SY1124 @ SV280 @ SV261 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[608]) ).

thf(662,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ! [SY1099: $i] :
            ~ ~ ! [SY1100: $i] :
                  ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                                      | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                                | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
                          | ~ ( ( SV232 != SV262 ) ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1099 @ SV2 @ SV122 )
                                    | ~ ( cong @ SY1099 @ SV262 @ SV262 @ SV2 ) )
                              | ~ ( coll @ SY1100 @ SV62 @ SV182 ) )
                        | ~ ( cong @ SY1100 @ SV262 @ SV262 @ SV2 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(663,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV183 @ SV3 @ SV63 )
                    | ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) )
              | ~ ( coll @ SV233 @ SV3 @ SV123 ) ) )
        = $false )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[610]) ).

thf(664,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ~ ! [SY1101: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
                      | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                                | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                          | ~ ( coll @ SY1101 @ SV124 @ SV4 ) )
                    | ~ ( perp @ SV64 @ SY1101 @ SV124 @ SV4 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[611]) ).

thf(665,plain,
    ! [SV185: $i,SV125: $i,SV65: $i,SV5: $i] :
      ( ( ( ~ ( eqangle @ SV5 @ SV65 @ SV125 @ SV185 @ SV125 @ SV185 @ SV5 @ SV65 )
          | ~ ~ ( para @ SV5 @ SV65 @ SV125 @ SV185 ) )
        = $true )
      | ( ( perp @ SV5 @ SV65 @ SV125 @ SV185 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[612]) ).

thf(666,plain,
    ! [SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY1125: $i,SY1126: $i,SY1127: $i,SY1128: $i,SY1129: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SY1125 )
                  | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SY1125 @ SY1126 @ SY1127 @ SY1128 @ SY1129 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SY1126 @ SY1127 @ SY1128 @ SY1129 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[613]) ).

thf(667,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
                  | ~ ( coll @ SV67 @ SV187 @ SV235 ) )
            | ~ ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
                | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[614]) ).

thf(668,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
              | ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) )
        | ~ ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
            | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[615]) ).

thf(669,plain,
    ! [SV189: $i,SV70: $i,SV10: $i,SV130: $i] :
      ( ( ( ~ ( eqangle @ SV130 @ SV10 @ SV130 @ SV70 @ SV189 @ SV10 @ SV189 @ SV70 )
          | ~ ( coll @ SV130 @ SV189 @ SV70 ) )
        = $true )
      | ( ( cyclic @ SV10 @ SV70 @ SV130 @ SV189 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[616]) ).

thf(670,plain,
    ! [SV264: $i,SV236: $i,SV190: $i,SV131: $i,SV71: $i,SV11: $i] :
      ( ( ( ~ ( para @ SV11 @ SV71 @ SV131 @ SV190 ) )
        = $true )
      | ( ( eqangle @ SV11 @ SV71 @ SV236 @ SV264 @ SV131 @ SV190 @ SV236 @ SV264 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[617]) ).

thf(671,plain,
    ! [SV265: $i,SV237: $i,SV191: $i,SV132: $i,SV72: $i,SV12: $i] :
      ( ( ( ~ ( simtri @ SV12 @ SV72 @ SV132 @ SV191 @ SV237 @ SV265 ) )
        = $true )
      | ( ( eqangle @ SV12 @ SV72 @ SV72 @ SV132 @ SV191 @ SV237 @ SV237 @ SV265 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[618]) ).

thf(672,plain,
    ! [SV282: $i,SV266: $i,SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ! [SY1130: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SV282 @ SY1130 )
                  | ~ ( para @ SV238 @ SV266 @ SV282 @ SY1130 ) )
            | ( para @ SV13 @ SV73 @ SV133 @ SV192 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[619]) ).

thf(673,plain,
    ! [SV239: $i,SV134: $i,SV74: $i,SV14: $i,SV193: $i] :
      ( ( ( ~ ( ~ ( circle @ SV193 @ SV14 @ SV74 @ SV134 )
              | ~ ( eqangle @ SV14 @ SV239 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 ) ) )
        = $false )
      | ( ( perp @ SV193 @ SV14 @ SV14 @ SV239 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[620]) ).

thf(674,plain,
    ! [SV135: $i,SV75: $i,SV15: $i] :
      ( ( ( ~ ( cong @ SV15 @ SV75 @ SV15 @ SV135 ) )
        = $true )
      | ( ( ~ ( coll @ SV15 @ SV75 @ SV135 ) )
        = $true )
      | ( ( midp @ SV15 @ SV75 @ SV135 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[621]) ).

thf(675,plain,
    ! [SV136: $i,SV240: $i,SV76: $i,SV16: $i,SV194: $i] :
      ( ( ( ~ ( ~ ( midp @ SV194 @ SV16 @ SV76 )
              | ~ ( midp @ SV240 @ SV16 @ SV136 ) ) )
        = $false )
      | ( ( para @ SV194 @ SV240 @ SV76 @ SV136 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(676,plain,
    ! [SV283: $i,SV267: $i,SV241: $i,SV195: $i,SV137: $i,SV77: $i,SV17: $i] :
      ( ( ! [SY1131: $i] :
            ( ~ ( eqangle @ SV17 @ SV77 @ SV137 @ SV195 @ SV241 @ SV267 @ SV283 @ SY1131 )
            | ( eqangle @ SV17 @ SV77 @ SV241 @ SV267 @ SV137 @ SV195 @ SV283 @ SY1131 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[623]) ).

thf(677,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
                | ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
              | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[624]) ).

thf(678,plain,
    ! [SV242: $i,SV139: $i,SV79: $i,SV19: $i,SV196: $i] :
      ( ( ( ~ ( ~ ( circle @ SV196 @ SV19 @ SV79 @ SV139 )
              | ~ ( midp @ SV242 @ SV79 @ SV139 ) ) )
        = $false )
      | ( ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SV196 @ SV79 @ SV196 @ SV242 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[625]) ).

thf(679,plain,
    ! [SV243: $i,SV140: $i,SV80: $i,SV20: $i,SV197: $i] :
      ( ( ( ~ ( ~ ( circle @ SV197 @ SV20 @ SV80 @ SV140 )
              | ~ ( perp @ SV197 @ SV20 @ SV20 @ SV243 ) ) )
        = $false )
      | ( ( eqangle @ SV20 @ SV243 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[626]) ).

thf(680,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
                      | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) )
                | ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) ) )
        = $true )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[627]) ).

thf(681,plain,
    ! [SV199: $i,SV142: $i,SV269: $i,SV82: $i,SV22: $i,SV245: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV245 @ SV22 @ SV82 )
                | ~ ( midp @ SV269 @ SV142 @ SV199 ) ) )
        = $true )
      | ( ( eqratio @ SV245 @ SV22 @ SV22 @ SV82 @ SV269 @ SV142 @ SV142 @ SV199 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[628]) ).

thf(682,plain,
    ! [SV143: $i,SV83: $i,SV23: $i,SV200: $i] :
      ( ( ( ~ ( circle @ SV200 @ SV23 @ SV83 @ SV143 )
          | ~ ( coll @ SV200 @ SV23 @ SV143 ) )
        = $true )
      | ( ( perp @ SV23 @ SV83 @ SV83 @ SV143 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[629]) ).

thf(683,plain,
    ! [SV85: $i,SV25: $i,SV145: $i] :
      ( ( ( ~ ( eqangle @ SV145 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SV145 @ SV85 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV145 @ SV25 @ SV85 ) )
        = $true )
      | ( ( cong @ SV145 @ SV25 @ SV145 @ SV85 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[630]) ).

thf(684,plain,
    ! [SV201: $i,SV87: $i,SV27: $i,SV147: $i] :
      ( ( ( ~ ( midp @ SV147 @ SV27 @ SV87 )
          | ~ ( perp @ SV201 @ SV147 @ SV27 @ SV87 ) )
        = $true )
      | ( ( cong @ SV201 @ SV27 @ SV201 @ SV87 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[631]) ).

thf(685,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
              | ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) )
        | ~ ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
            | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[632]) ).

thf(686,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
              | ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) )
        | ( circle @ ( sK15_SY1006 @ SV203 @ SV89 @ SV149 @ SV29 ) @ SV29 @ SV89 @ SV149 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[633]) ).

thf(687,plain,
    ! [SV270: $i,SV246: $i,SV204: $i,SV150: $i,SV90: $i,SV30: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV30 @ SV90 @ SV150 @ SV204 )
                | ~ ( perp @ SV150 @ SV204 @ SV246 @ SV270 ) ) )
        = $true )
      | ( ( perp @ SV30 @ SV90 @ SV246 @ SV270 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[634]) ).

thf(688,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
              | ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) )
        | ~ ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
            | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[635]) ).

thf(689,plain,
    ! [SV271: $i,SV247: $i,SV206: $i,SV153: $i,SV93: $i,SV33: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV33 @ SV93 @ SV153 @ SV206 )
                | ~ ( perp @ SV153 @ SV206 @ SV247 @ SV271 ) ) )
        = $true )
      | ( ( para @ SV33 @ SV93 @ SV247 @ SV271 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[636]) ).

thf(690,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV248 @ SV34 @ SV94 )
                    | ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) )
              | ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) ) )
        = $false )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[637]) ).

thf(691,plain,
    ! [SV284: $i,SV272: $i,SV249: $i,SV209: $i,SV156: $i,SV96: $i,SV36: $i] :
      ( ( ! [SY1132: $i] :
            ( ~ ( eqangle @ SV36 @ SV96 @ SV156 @ SV209 @ SV249 @ SV272 @ SV284 @ SY1132 )
            | ( eqangle @ SV96 @ SV36 @ SV156 @ SV209 @ SV249 @ SV272 @ SV284 @ SY1132 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[639]) ).

thf(692,plain,
    ! [SV210: $i,SV97: $i,SV157: $i,SV37: $i] :
      ( ( ( ~ ( cong @ SV37 @ SV157 @ SV97 @ SV157 )
          | ~ ( cong @ SV37 @ SV210 @ SV97 @ SV210 ) )
        = $true )
      | ( ( perp @ SV37 @ SV97 @ SV157 @ SV210 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[640]) ).

thf(693,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
                  | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
            | ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
                | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[641]) ).

thf(694,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ~ ! [SY1133: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                                  | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                            | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
                      | ~ ( coll @ SV212 @ SV40 @ SV100 ) )
                | ( midp @ SY1133 @ SV40 @ SV285 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[642]) ).

thf(695,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ! [SY1116: $i] :
            ~ ( ~ ~ ( ~ ( midp @ SV252 @ SV41 @ SV101 )
                    | ~ ( midp @ SV274 @ SV161 @ SV213 ) )
              | ~ ( ~ ~ ( ~ ( midp @ SY1116 @ SV41 @ SV213 )
                        | ~ ( para @ SY1116 @ SV252 @ SV101 @ SV213 ) )
                  | ~ ( para @ SY1116 @ SV274 @ SV41 @ SV161 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(696,plain,
    ! [SV214: $i,SV162: $i,SV102: $i,SV42: $i,SV253: $i] :
      ( ( ( ~ ( ~ ( midp @ SV253 @ SV42 @ SV102 )
              | ~ ( midp @ SV253 @ SV162 @ SV214 ) ) )
        = $false )
      | ( ( para @ SV42 @ SV162 @ SV102 @ SV214 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(697,plain,
    ! [SV215: $i,SV163: $i,SV275: $i,SV254: $i,SV103: $i,SV43: $i] :
      ( ( ( ~ ( eqangle @ SV43 @ SV103 @ SV254 @ SV275 @ SV163 @ SV215 @ SV254 @ SV275 ) )
        = $true )
      | ( ( para @ SV43 @ SV103 @ SV163 @ SV215 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[645]) ).

thf(698,plain,
    ! [SV164: $i,SV104: $i,SV44: $i,SV216: $i] :
      ( ( ( ~ ( cong @ SV216 @ SV44 @ SV216 @ SV104 )
          | ~ ( cong @ SV216 @ SV44 @ SV216 @ SV164 ) )
        = $true )
      | ( ( circle @ SV216 @ SV44 @ SV104 @ SV164 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[646]) ).

thf(699,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
              | ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) )
        | ~ ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
            | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[647]) ).

thf(700,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ! [SY1117: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                                | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                          | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
                    | ~ ( coll @ SV276 @ SV46 @ SV106 ) )
              | ~ ( ~ ( coll @ SV255 @ SV276 @ SY1117 )
                  | ~ ( coll @ SY1117 @ SV166 @ SV218 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(701,plain,
    ! [SV169: $i,SV109: $i,SV49: $i,SV220: $i] :
      ( ( ~ ( circle @ SV220 @ SV49 @ SV109 @ SV169 )
        | ( perp @ ( sK18_SY1033 @ SV169 @ SV109 @ SV49 @ SV220 ) @ SV49 @ SV49 @ SV220 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[650]) ).

thf(702,plain,
    ! [SV221: $i,SV110: $i,SV50: $i,SV170: $i] :
      ( ( ( ~ ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SV221 @ SV50 @ SV221 @ SV110 )
          | ~ ~ ( coll @ SV170 @ SV221 @ SV50 ) )
        = $true )
      | ( ( cyclic @ SV50 @ SV110 @ SV170 @ SV221 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[651]) ).

thf(703,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                        | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
                  | ~ ( midp @ SV256 @ SV111 @ SV222 ) )
            | ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[652]) ).

thf(704,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
                    | ~ ( coll @ SV257 @ SV112 @ SV172 ) )
              | ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) ) )
        = $false )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[653]) ).

thf(705,plain,
    ! [SV224: $i,SV173: $i,SV113: $i,SV53: $i] :
      ( ( ( ~ ( perp @ SV53 @ SV113 @ SV113 @ SV173 )
          | ~ ( midp @ SV224 @ SV53 @ SV173 ) )
        = $true )
      | ( ( cong @ SV53 @ SV224 @ SV113 @ SV224 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[654]) ).

thf(706,plain,
    ! [SV225: $i,SV175: $i,SV115: $i,SV55: $i] :
      ( ( ( ~ ( coll @ SV55 @ SV115 @ SV175 )
          | ~ ( coll @ SV55 @ SV115 @ SV225 ) )
        = $true )
      | ( ( coll @ SV175 @ SV225 @ SV55 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[655]) ).

thf(707,plain,
    ! [SV286: $i,SV277: $i,SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ! [SY1134: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SV286 @ SY1134 )
                  | ~ ( perp @ SV258 @ SV277 @ SV286 @ SY1134 ) )
            | ( perp @ SV56 @ SV116 @ SV176 @ SV226 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[656]) ).

thf(708,plain,
    ! [SV287: $i,SV278: $i,SV259: $i,SV227: $i,SV177: $i,SV117: $i,SV57: $i] :
      ( ( ! [SY1135: $i] :
            ( ~ ( eqangle @ SV57 @ SV117 @ SV177 @ SV227 @ SV259 @ SV278 @ SV287 @ SY1135 )
            | ( eqangle @ SV259 @ SV278 @ SV287 @ SY1135 @ SV57 @ SV117 @ SV177 @ SV227 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[657]) ).

thf(709,plain,
    ! [SV228: $i,SV178: $i,SV118: $i,SV58: $i] :
      ( ( ( ~ ( eqangle @ SV58 @ SV118 @ SV178 @ SV228 @ SV178 @ SV228 @ SV58 @ SV118 )
          | ~ ~ ( perp @ SV58 @ SV118 @ SV178 @ SV228 ) )
        = $true )
      | ( ( para @ SV58 @ SV118 @ SV178 @ SV228 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[658]) ).

thf(710,plain,
    ! [SV288: $i,SV279: $i,SV260: $i,SV229: $i,SV179: $i,SV119: $i,SV59: $i] :
      ( ( ! [SY1136: $i] :
            ( ~ ( eqangle @ SV59 @ SV119 @ SV179 @ SV229 @ SV260 @ SV279 @ SV288 @ SY1136 )
            | ( eqangle @ SV179 @ SV229 @ SV59 @ SV119 @ SV288 @ SY1136 @ SV260 @ SV279 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[659]) ).

thf(711,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ! [SY1124: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                                | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
                          | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
                    | ~ ( coll @ SV181 @ SV231 @ SV261 ) )
              | ~ ( ~ ( coll @ SY1124 @ SV1 @ SV231 )
                  | ~ ( coll @ SY1124 @ SV280 @ SV261 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[661]) ).

thf(712,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ~ ~ ! [SY1137: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                                    | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                              | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
                        | ~ ( ( SV232 != SV262 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                                  | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                            | ~ ( coll @ SY1137 @ SV62 @ SV182 ) )
                      | ~ ( cong @ SY1137 @ SV262 @ SV262 @ SV2 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[662]) ).

thf(713,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV183 @ SV3 @ SV63 )
                | ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) )
          | ~ ( coll @ SV233 @ SV3 @ SV123 ) )
        = $true )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[663]) ).

thf(714,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ! [SY1101: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
                    | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                              | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                        | ~ ( coll @ SY1101 @ SV124 @ SV4 ) )
                  | ~ ( perp @ SV64 @ SY1101 @ SV124 @ SV4 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[664]) ).

thf(715,plain,
    ! [SV185: $i,SV125: $i,SV65: $i,SV5: $i] :
      ( ( ( ~ ( eqangle @ SV5 @ SV65 @ SV125 @ SV185 @ SV125 @ SV185 @ SV5 @ SV65 ) )
        = $true )
      | ( ( ~ ~ ( para @ SV5 @ SV65 @ SV125 @ SV185 ) )
        = $true )
      | ( ( perp @ SV5 @ SV65 @ SV125 @ SV185 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[665]) ).

thf(716,plain,
    ! [SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY1138: $i,SY1139: $i,SY1140: $i,SY1141: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
                  | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SY1138 @ SY1139 @ SY1140 @ SY1141 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SY1138 @ SY1139 @ SY1140 @ SY1141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[666]) ).

thf(717,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
              | ~ ( coll @ SV67 @ SV187 @ SV235 ) )
        | ~ ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
            | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[667]) ).

thf(718,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
                | ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
              | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[668]) ).

thf(719,plain,
    ! [SV189: $i,SV70: $i,SV10: $i,SV130: $i] :
      ( ( ( ~ ( eqangle @ SV130 @ SV10 @ SV130 @ SV70 @ SV189 @ SV10 @ SV189 @ SV70 ) )
        = $true )
      | ( ( ~ ( coll @ SV130 @ SV189 @ SV70 ) )
        = $true )
      | ( ( cyclic @ SV10 @ SV70 @ SV130 @ SV189 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[669]) ).

thf(720,plain,
    ! [SV264: $i,SV236: $i,SV190: $i,SV131: $i,SV71: $i,SV11: $i] :
      ( ( ( para @ SV11 @ SV71 @ SV131 @ SV190 )
        = $false )
      | ( ( eqangle @ SV11 @ SV71 @ SV236 @ SV264 @ SV131 @ SV190 @ SV236 @ SV264 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(721,plain,
    ! [SV265: $i,SV237: $i,SV191: $i,SV132: $i,SV72: $i,SV12: $i] :
      ( ( ( simtri @ SV12 @ SV72 @ SV132 @ SV191 @ SV237 @ SV265 )
        = $false )
      | ( ( eqangle @ SV12 @ SV72 @ SV72 @ SV132 @ SV191 @ SV237 @ SV237 @ SV265 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(722,plain,
    ! [SV290: $i,SV282: $i,SV266: $i,SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SV282 @ SV290 )
              | ~ ( para @ SV238 @ SV266 @ SV282 @ SV290 ) )
        | ( para @ SV13 @ SV73 @ SV133 @ SV192 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[672]) ).

thf(723,plain,
    ! [SV239: $i,SV134: $i,SV74: $i,SV14: $i,SV193: $i] :
      ( ( ( ~ ( circle @ SV193 @ SV14 @ SV74 @ SV134 )
          | ~ ( eqangle @ SV14 @ SV239 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 ) )
        = $true )
      | ( ( perp @ SV193 @ SV14 @ SV14 @ SV239 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[673]) ).

thf(724,plain,
    ! [SV135: $i,SV75: $i,SV15: $i] :
      ( ( ( cong @ SV15 @ SV75 @ SV15 @ SV135 )
        = $false )
      | ( ( ~ ( coll @ SV15 @ SV75 @ SV135 ) )
        = $true )
      | ( ( midp @ SV15 @ SV75 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[674]) ).

thf(725,plain,
    ! [SV136: $i,SV240: $i,SV76: $i,SV16: $i,SV194: $i] :
      ( ( ( ~ ( midp @ SV194 @ SV16 @ SV76 )
          | ~ ( midp @ SV240 @ SV16 @ SV136 ) )
        = $true )
      | ( ( para @ SV194 @ SV240 @ SV76 @ SV136 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[675]) ).

thf(726,plain,
    ! [SV291: $i,SV283: $i,SV267: $i,SV241: $i,SV195: $i,SV137: $i,SV77: $i,SV17: $i] :
      ( ( ~ ( eqangle @ SV17 @ SV77 @ SV137 @ SV195 @ SV241 @ SV267 @ SV283 @ SV291 )
        | ( eqangle @ SV17 @ SV77 @ SV241 @ SV267 @ SV137 @ SV195 @ SV283 @ SV291 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[676]) ).

thf(727,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ( ~ ( ~ ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
              | ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
              | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(728,plain,
    ! [SV242: $i,SV139: $i,SV79: $i,SV19: $i,SV196: $i] :
      ( ( ( ~ ( circle @ SV196 @ SV19 @ SV79 @ SV139 )
          | ~ ( midp @ SV242 @ SV79 @ SV139 ) )
        = $true )
      | ( ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SV196 @ SV79 @ SV196 @ SV242 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[678]) ).

thf(729,plain,
    ! [SV243: $i,SV140: $i,SV80: $i,SV20: $i,SV197: $i] :
      ( ( ( ~ ( circle @ SV197 @ SV20 @ SV80 @ SV140 )
          | ~ ( perp @ SV197 @ SV20 @ SV20 @ SV243 ) )
        = $true )
      | ( ( eqangle @ SV20 @ SV243 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[679]) ).

thf(730,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
                    | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) )
              | ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) ) )
        = $false )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(731,plain,
    ! [SV199: $i,SV142: $i,SV269: $i,SV82: $i,SV22: $i,SV245: $i] :
      ( ( ( ~ ( ~ ( midp @ SV245 @ SV22 @ SV82 )
              | ~ ( midp @ SV269 @ SV142 @ SV199 ) ) )
        = $false )
      | ( ( eqratio @ SV245 @ SV22 @ SV22 @ SV82 @ SV269 @ SV142 @ SV142 @ SV199 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[681]) ).

thf(732,plain,
    ! [SV143: $i,SV83: $i,SV23: $i,SV200: $i] :
      ( ( ( ~ ( circle @ SV200 @ SV23 @ SV83 @ SV143 ) )
        = $true )
      | ( ( ~ ( coll @ SV200 @ SV23 @ SV143 ) )
        = $true )
      | ( ( perp @ SV23 @ SV83 @ SV83 @ SV143 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[682]) ).

thf(733,plain,
    ! [SV85: $i,SV25: $i,SV145: $i] :
      ( ( ( eqangle @ SV145 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SV145 @ SV85 )
        = $false )
      | ( ( ~ ~ ( coll @ SV145 @ SV25 @ SV85 ) )
        = $true )
      | ( ( cong @ SV145 @ SV25 @ SV145 @ SV85 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[683]) ).

thf(734,plain,
    ! [SV201: $i,SV87: $i,SV27: $i,SV147: $i] :
      ( ( ( ~ ( midp @ SV147 @ SV27 @ SV87 ) )
        = $true )
      | ( ( ~ ( perp @ SV201 @ SV147 @ SV27 @ SV87 ) )
        = $true )
      | ( ( cong @ SV201 @ SV27 @ SV201 @ SV87 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(735,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
                | ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
              | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[685]) ).

thf(736,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
                | ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) ) )
        = $true )
      | ( ( circle @ ( sK15_SY1006 @ SV203 @ SV89 @ SV149 @ SV29 ) @ SV29 @ SV89 @ SV149 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[686]) ).

thf(737,plain,
    ! [SV270: $i,SV246: $i,SV204: $i,SV150: $i,SV90: $i,SV30: $i] :
      ( ( ( ~ ( ~ ( para @ SV30 @ SV90 @ SV150 @ SV204 )
              | ~ ( perp @ SV150 @ SV204 @ SV246 @ SV270 ) ) )
        = $false )
      | ( ( perp @ SV30 @ SV90 @ SV246 @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[687]) ).

thf(738,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
                | ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
              | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[688]) ).

thf(739,plain,
    ! [SV271: $i,SV247: $i,SV206: $i,SV153: $i,SV93: $i,SV33: $i] :
      ( ( ( ~ ( ~ ( perp @ SV33 @ SV93 @ SV153 @ SV206 )
              | ~ ( perp @ SV153 @ SV206 @ SV247 @ SV271 ) ) )
        = $false )
      | ( ( para @ SV33 @ SV93 @ SV247 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(740,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV248 @ SV34 @ SV94 )
                | ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) )
          | ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
        = $true )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(741,plain,
    ! [SV292: $i,SV284: $i,SV272: $i,SV249: $i,SV209: $i,SV156: $i,SV96: $i,SV36: $i] :
      ( ( ~ ( eqangle @ SV36 @ SV96 @ SV156 @ SV209 @ SV249 @ SV272 @ SV284 @ SV292 )
        | ( eqangle @ SV96 @ SV36 @ SV156 @ SV209 @ SV249 @ SV272 @ SV284 @ SV292 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[691]) ).

thf(742,plain,
    ! [SV210: $i,SV97: $i,SV157: $i,SV37: $i] :
      ( ( ( ~ ( cong @ SV37 @ SV157 @ SV97 @ SV157 ) )
        = $true )
      | ( ( ~ ( cong @ SV37 @ SV210 @ SV97 @ SV210 ) )
        = $true )
      | ( ( perp @ SV37 @ SV97 @ SV157 @ SV210 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[692]) ).

thf(743,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
              | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
        | ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
            | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[693]) ).

thf(744,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ! [SY1133: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                                | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                          | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
                    | ~ ( coll @ SV212 @ SV40 @ SV100 ) )
              | ( midp @ SY1133 @ SV40 @ SV285 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[694]) ).

thf(745,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ~ ( ~ ~ ( ~ ( midp @ SV252 @ SV41 @ SV101 )
                  | ~ ( midp @ SV274 @ SV161 @ SV213 ) )
            | ~ ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                      | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
                | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[695]) ).

thf(746,plain,
    ! [SV214: $i,SV162: $i,SV102: $i,SV42: $i,SV253: $i] :
      ( ( ( ~ ( midp @ SV253 @ SV42 @ SV102 )
          | ~ ( midp @ SV253 @ SV162 @ SV214 ) )
        = $true )
      | ( ( para @ SV42 @ SV162 @ SV102 @ SV214 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[696]) ).

thf(747,plain,
    ! [SV215: $i,SV163: $i,SV275: $i,SV254: $i,SV103: $i,SV43: $i] :
      ( ( ( eqangle @ SV43 @ SV103 @ SV254 @ SV275 @ SV163 @ SV215 @ SV254 @ SV275 )
        = $false )
      | ( ( para @ SV43 @ SV103 @ SV163 @ SV215 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[697]) ).

thf(748,plain,
    ! [SV164: $i,SV104: $i,SV44: $i,SV216: $i] :
      ( ( ( ~ ( cong @ SV216 @ SV44 @ SV216 @ SV104 ) )
        = $true )
      | ( ( ~ ( cong @ SV216 @ SV44 @ SV216 @ SV164 ) )
        = $true )
      | ( ( circle @ SV216 @ SV44 @ SV104 @ SV164 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[698]) ).

thf(749,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
                | ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
              | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[699]) ).

thf(750,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                              | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                        | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
                  | ~ ( coll @ SV276 @ SV46 @ SV106 ) )
            | ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
                | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[700]) ).

thf(751,plain,
    ! [SV169: $i,SV109: $i,SV49: $i,SV220: $i] :
      ( ( ( ~ ( circle @ SV220 @ SV49 @ SV109 @ SV169 ) )
        = $true )
      | ( ( perp @ ( sK18_SY1033 @ SV169 @ SV109 @ SV49 @ SV220 ) @ SV49 @ SV49 @ SV220 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[701]) ).

thf(752,plain,
    ! [SV221: $i,SV110: $i,SV50: $i,SV170: $i] :
      ( ( ( ~ ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SV221 @ SV50 @ SV221 @ SV110 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV170 @ SV221 @ SV50 ) )
        = $true )
      | ( ( cyclic @ SV50 @ SV110 @ SV170 @ SV221 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[702]) ).

thf(753,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                    | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
              | ~ ( midp @ SV256 @ SV111 @ SV222 ) )
        | ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(754,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
                | ~ ( coll @ SV257 @ SV112 @ SV172 ) )
          | ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) )
        = $true )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(755,plain,
    ! [SV224: $i,SV173: $i,SV113: $i,SV53: $i] :
      ( ( ( ~ ( perp @ SV53 @ SV113 @ SV113 @ SV173 ) )
        = $true )
      | ( ( ~ ( midp @ SV224 @ SV53 @ SV173 ) )
        = $true )
      | ( ( cong @ SV53 @ SV224 @ SV113 @ SV224 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[705]) ).

thf(756,plain,
    ! [SV225: $i,SV175: $i,SV115: $i,SV55: $i] :
      ( ( ( ~ ( coll @ SV55 @ SV115 @ SV175 ) )
        = $true )
      | ( ( ~ ( coll @ SV55 @ SV115 @ SV225 ) )
        = $true )
      | ( ( coll @ SV175 @ SV225 @ SV55 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[706]) ).

thf(757,plain,
    ! [SV293: $i,SV286: $i,SV277: $i,SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SV286 @ SV293 )
              | ~ ( perp @ SV258 @ SV277 @ SV286 @ SV293 ) )
        | ( perp @ SV56 @ SV116 @ SV176 @ SV226 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[707]) ).

thf(758,plain,
    ! [SV294: $i,SV287: $i,SV278: $i,SV259: $i,SV227: $i,SV177: $i,SV117: $i,SV57: $i] :
      ( ( ~ ( eqangle @ SV57 @ SV117 @ SV177 @ SV227 @ SV259 @ SV278 @ SV287 @ SV294 )
        | ( eqangle @ SV259 @ SV278 @ SV287 @ SV294 @ SV57 @ SV117 @ SV177 @ SV227 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[708]) ).

thf(759,plain,
    ! [SV228: $i,SV178: $i,SV118: $i,SV58: $i] :
      ( ( ( ~ ( eqangle @ SV58 @ SV118 @ SV178 @ SV228 @ SV178 @ SV228 @ SV58 @ SV118 ) )
        = $true )
      | ( ( ~ ~ ( perp @ SV58 @ SV118 @ SV178 @ SV228 ) )
        = $true )
      | ( ( para @ SV58 @ SV118 @ SV178 @ SV228 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[709]) ).

thf(760,plain,
    ! [SV295: $i,SV288: $i,SV279: $i,SV260: $i,SV229: $i,SV179: $i,SV119: $i,SV59: $i] :
      ( ( ~ ( eqangle @ SV59 @ SV119 @ SV179 @ SV229 @ SV260 @ SV279 @ SV288 @ SV295 )
        | ( eqangle @ SV179 @ SV229 @ SV59 @ SV119 @ SV288 @ SV295 @ SV260 @ SV279 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[710]) ).

thf(761,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                              | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
                        | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
                  | ~ ( coll @ SV181 @ SV231 @ SV261 ) )
            | ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
                | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[711]) ).

thf(762,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ~ ! [SY1137: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                                  | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                            | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
                      | ~ ( ( SV232 != SV262 ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                                | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                          | ~ ( coll @ SY1137 @ SV62 @ SV182 ) )
                    | ~ ( cong @ SY1137 @ SV262 @ SV262 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[712]) ).

thf(763,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV183 @ SV3 @ SV63 )
                | ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV233 @ SV3 @ SV123 ) )
        = $true )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[713]) ).

thf(764,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
                  | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                            | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                      | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
                | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[714]) ).

thf(765,plain,
    ! [SV185: $i,SV125: $i,SV65: $i,SV5: $i] :
      ( ( ( eqangle @ SV5 @ SV65 @ SV125 @ SV185 @ SV125 @ SV185 @ SV5 @ SV65 )
        = $false )
      | ( ( ~ ~ ( para @ SV5 @ SV65 @ SV125 @ SV185 ) )
        = $true )
      | ( ( perp @ SV5 @ SV65 @ SV125 @ SV185 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[715]) ).

thf(766,plain,
    ! [SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY1142: $i,SY1143: $i,SY1144: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
                  | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SY1142 @ SY1143 @ SY1144 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SY1142 @ SY1143 @ SY1144 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[716]) ).

thf(767,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
                | ~ ( coll @ SV67 @ SV187 @ SV235 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
              | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[717]) ).

thf(768,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ( ~ ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
              | ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
              | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(769,plain,
    ! [SV189: $i,SV70: $i,SV10: $i,SV130: $i] :
      ( ( ( eqangle @ SV130 @ SV10 @ SV130 @ SV70 @ SV189 @ SV10 @ SV189 @ SV70 )
        = $false )
      | ( ( ~ ( coll @ SV130 @ SV189 @ SV70 ) )
        = $true )
      | ( ( cyclic @ SV10 @ SV70 @ SV130 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[719]) ).

thf(770,plain,
    ! [SV290: $i,SV282: $i,SV266: $i,SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SV282 @ SV290 )
                | ~ ( para @ SV238 @ SV266 @ SV282 @ SV290 ) ) )
        = $true )
      | ( ( para @ SV13 @ SV73 @ SV133 @ SV192 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[722]) ).

thf(771,plain,
    ! [SV239: $i,SV134: $i,SV74: $i,SV14: $i,SV193: $i] :
      ( ( ( ~ ( circle @ SV193 @ SV14 @ SV74 @ SV134 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV14 @ SV239 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 ) )
        = $true )
      | ( ( perp @ SV193 @ SV14 @ SV14 @ SV239 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[723]) ).

thf(772,plain,
    ! [SV135: $i,SV75: $i,SV15: $i] :
      ( ( ( coll @ SV15 @ SV75 @ SV135 )
        = $false )
      | ( ( cong @ SV15 @ SV75 @ SV15 @ SV135 )
        = $false )
      | ( ( midp @ SV15 @ SV75 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[724]) ).

thf(773,plain,
    ! [SV136: $i,SV240: $i,SV76: $i,SV16: $i,SV194: $i] :
      ( ( ( ~ ( midp @ SV194 @ SV16 @ SV76 ) )
        = $true )
      | ( ( ~ ( midp @ SV240 @ SV16 @ SV136 ) )
        = $true )
      | ( ( para @ SV194 @ SV240 @ SV76 @ SV136 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[725]) ).

thf(774,plain,
    ! [SV291: $i,SV283: $i,SV267: $i,SV241: $i,SV195: $i,SV137: $i,SV77: $i,SV17: $i] :
      ( ( ( ~ ( eqangle @ SV17 @ SV77 @ SV137 @ SV195 @ SV241 @ SV267 @ SV283 @ SV291 ) )
        = $true )
      | ( ( eqangle @ SV17 @ SV77 @ SV241 @ SV267 @ SV137 @ SV195 @ SV283 @ SV291 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[726]) ).

thf(775,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ( ~ ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
          | ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
              | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(776,plain,
    ! [SV242: $i,SV139: $i,SV79: $i,SV19: $i,SV196: $i] :
      ( ( ( ~ ( circle @ SV196 @ SV19 @ SV79 @ SV139 ) )
        = $true )
      | ( ( ~ ( midp @ SV242 @ SV79 @ SV139 ) )
        = $true )
      | ( ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SV196 @ SV79 @ SV196 @ SV242 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[728]) ).

thf(777,plain,
    ! [SV243: $i,SV140: $i,SV80: $i,SV20: $i,SV197: $i] :
      ( ( ( ~ ( circle @ SV197 @ SV20 @ SV80 @ SV140 ) )
        = $true )
      | ( ( ~ ( perp @ SV197 @ SV20 @ SV20 @ SV243 ) )
        = $true )
      | ( ( eqangle @ SV20 @ SV243 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[729]) ).

thf(778,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
                | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) )
          | ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        = $true )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(779,plain,
    ! [SV199: $i,SV142: $i,SV269: $i,SV82: $i,SV22: $i,SV245: $i] :
      ( ( ( ~ ( midp @ SV245 @ SV22 @ SV82 )
          | ~ ( midp @ SV269 @ SV142 @ SV199 ) )
        = $true )
      | ( ( eqratio @ SV245 @ SV22 @ SV22 @ SV82 @ SV269 @ SV142 @ SV142 @ SV199 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(780,plain,
    ! [SV143: $i,SV83: $i,SV23: $i,SV200: $i] :
      ( ( ( circle @ SV200 @ SV23 @ SV83 @ SV143 )
        = $false )
      | ( ( ~ ( coll @ SV200 @ SV23 @ SV143 ) )
        = $true )
      | ( ( perp @ SV23 @ SV83 @ SV83 @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(781,plain,
    ! [SV85: $i,SV25: $i,SV145: $i] :
      ( ( ( ~ ( coll @ SV145 @ SV25 @ SV85 ) )
        = $false )
      | ( ( eqangle @ SV145 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SV145 @ SV85 )
        = $false )
      | ( ( cong @ SV145 @ SV25 @ SV145 @ SV85 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[733]) ).

thf(782,plain,
    ! [SV201: $i,SV87: $i,SV27: $i,SV147: $i] :
      ( ( ( midp @ SV147 @ SV27 @ SV87 )
        = $false )
      | ( ( ~ ( perp @ SV201 @ SV147 @ SV27 @ SV87 ) )
        = $true )
      | ( ( cong @ SV201 @ SV27 @ SV201 @ SV87 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(783,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ( ~ ( ~ ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
              | ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
              | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[735]) ).

thf(784,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ( ~ ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
              | ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) ) )
        = $false )
      | ( ( circle @ ( sK15_SY1006 @ SV203 @ SV89 @ SV149 @ SV29 ) @ SV29 @ SV89 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[736]) ).

thf(785,plain,
    ! [SV270: $i,SV246: $i,SV204: $i,SV150: $i,SV90: $i,SV30: $i] :
      ( ( ( ~ ( para @ SV30 @ SV90 @ SV150 @ SV204 )
          | ~ ( perp @ SV150 @ SV204 @ SV246 @ SV270 ) )
        = $true )
      | ( ( perp @ SV30 @ SV90 @ SV246 @ SV270 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[737]) ).

thf(786,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ( ~ ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
              | ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
              | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[738]) ).

thf(787,plain,
    ! [SV271: $i,SV247: $i,SV206: $i,SV153: $i,SV93: $i,SV33: $i] :
      ( ( ( ~ ( perp @ SV33 @ SV93 @ SV153 @ SV206 )
          | ~ ( perp @ SV153 @ SV206 @ SV247 @ SV271 ) )
        = $true )
      | ( ( para @ SV33 @ SV93 @ SV247 @ SV271 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[739]) ).

thf(788,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV248 @ SV34 @ SV94 )
                | ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) ) )
        = $true )
      | ( ( ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
        = $true )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[740]) ).

thf(789,plain,
    ! [SV292: $i,SV284: $i,SV272: $i,SV249: $i,SV209: $i,SV156: $i,SV96: $i,SV36: $i] :
      ( ( ( ~ ( eqangle @ SV36 @ SV96 @ SV156 @ SV209 @ SV249 @ SV272 @ SV284 @ SV292 ) )
        = $true )
      | ( ( eqangle @ SV96 @ SV36 @ SV156 @ SV209 @ SV249 @ SV272 @ SV284 @ SV292 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[741]) ).

thf(790,plain,
    ! [SV210: $i,SV97: $i,SV157: $i,SV37: $i] :
      ( ( ( cong @ SV37 @ SV157 @ SV97 @ SV157 )
        = $false )
      | ( ( ~ ( cong @ SV37 @ SV210 @ SV97 @ SV210 ) )
        = $true )
      | ( ( perp @ SV37 @ SV97 @ SV157 @ SV210 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(791,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
                | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
              | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[743]) ).

thf(792,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                              | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                        | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
                  | ~ ( coll @ SV212 @ SV40 @ SV100 ) )
            | ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[744]) ).

thf(793,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV252 @ SV41 @ SV101 )
              | ~ ( midp @ SV274 @ SV161 @ SV213 ) )
        | ~ ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                  | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
            | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[745]) ).

thf(794,plain,
    ! [SV214: $i,SV162: $i,SV102: $i,SV42: $i,SV253: $i] :
      ( ( ( ~ ( midp @ SV253 @ SV42 @ SV102 ) )
        = $true )
      | ( ( ~ ( midp @ SV253 @ SV162 @ SV214 ) )
        = $true )
      | ( ( para @ SV42 @ SV162 @ SV102 @ SV214 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[746]) ).

thf(795,plain,
    ! [SV164: $i,SV104: $i,SV44: $i,SV216: $i] :
      ( ( ( cong @ SV216 @ SV44 @ SV216 @ SV104 )
        = $false )
      | ( ( ~ ( cong @ SV216 @ SV44 @ SV216 @ SV164 ) )
        = $true )
      | ( ( circle @ SV216 @ SV44 @ SV104 @ SV164 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[748]) ).

thf(796,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ( ~ ( ~ ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
              | ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
              | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[749]) ).

thf(797,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                          | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                    | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
              | ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        | ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
            | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[750]) ).

thf(798,plain,
    ! [SV169: $i,SV109: $i,SV49: $i,SV220: $i] :
      ( ( ( circle @ SV220 @ SV49 @ SV109 @ SV169 )
        = $false )
      | ( ( perp @ ( sK18_SY1033 @ SV169 @ SV109 @ SV49 @ SV220 ) @ SV49 @ SV49 @ SV220 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[751]) ).

thf(799,plain,
    ! [SV221: $i,SV110: $i,SV50: $i,SV170: $i] :
      ( ( ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SV221 @ SV50 @ SV221 @ SV110 )
        = $false )
      | ( ( ~ ~ ( coll @ SV170 @ SV221 @ SV50 ) )
        = $true )
      | ( ( cyclic @ SV50 @ SV110 @ SV170 @ SV221 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[752]) ).

thf(800,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                      | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
                | ~ ( midp @ SV256 @ SV111 @ SV222 ) ) )
        = $true )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[753]) ).

thf(801,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
                | ~ ( coll @ SV257 @ SV112 @ SV172 ) ) )
        = $true )
      | ( ( ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) )
        = $true )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[754]) ).

thf(802,plain,
    ! [SV224: $i,SV173: $i,SV113: $i,SV53: $i] :
      ( ( ( perp @ SV53 @ SV113 @ SV113 @ SV173 )
        = $false )
      | ( ( ~ ( midp @ SV224 @ SV53 @ SV173 ) )
        = $true )
      | ( ( cong @ SV53 @ SV224 @ SV113 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[755]) ).

thf(803,plain,
    ! [SV225: $i,SV175: $i,SV115: $i,SV55: $i] :
      ( ( ( coll @ SV55 @ SV115 @ SV175 )
        = $false )
      | ( ( ~ ( coll @ SV55 @ SV115 @ SV225 ) )
        = $true )
      | ( ( coll @ SV175 @ SV225 @ SV55 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[756]) ).

thf(804,plain,
    ! [SV293: $i,SV286: $i,SV277: $i,SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SV286 @ SV293 )
                | ~ ( perp @ SV258 @ SV277 @ SV286 @ SV293 ) ) )
        = $true )
      | ( ( perp @ SV56 @ SV116 @ SV176 @ SV226 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[757]) ).

thf(805,plain,
    ! [SV294: $i,SV287: $i,SV278: $i,SV259: $i,SV227: $i,SV177: $i,SV117: $i,SV57: $i] :
      ( ( ( ~ ( eqangle @ SV57 @ SV117 @ SV177 @ SV227 @ SV259 @ SV278 @ SV287 @ SV294 ) )
        = $true )
      | ( ( eqangle @ SV259 @ SV278 @ SV287 @ SV294 @ SV57 @ SV117 @ SV177 @ SV227 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[758]) ).

thf(806,plain,
    ! [SV228: $i,SV178: $i,SV118: $i,SV58: $i] :
      ( ( ( eqangle @ SV58 @ SV118 @ SV178 @ SV228 @ SV178 @ SV228 @ SV58 @ SV118 )
        = $false )
      | ( ( ~ ~ ( perp @ SV58 @ SV118 @ SV178 @ SV228 ) )
        = $true )
      | ( ( para @ SV58 @ SV118 @ SV178 @ SV228 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[759]) ).

thf(807,plain,
    ! [SV295: $i,SV288: $i,SV279: $i,SV260: $i,SV229: $i,SV179: $i,SV119: $i,SV59: $i] :
      ( ( ( ~ ( eqangle @ SV59 @ SV119 @ SV179 @ SV229 @ SV260 @ SV279 @ SV288 @ SV295 ) )
        = $true )
      | ( ( eqangle @ SV179 @ SV229 @ SV59 @ SV119 @ SV288 @ SV295 @ SV260 @ SV279 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[760]) ).

thf(808,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                          | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
                    | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
              | ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        | ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
            | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[761]) ).

thf(809,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ! [SY1137: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                                | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                          | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
                    | ~ ( ( SV232 != SV262 ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                              | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                        | ~ ( coll @ SY1137 @ SV62 @ SV182 ) )
                  | ~ ( cong @ SY1137 @ SV262 @ SV262 @ SV2 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(810,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ( ~ ( midp @ SV183 @ SV3 @ SV63 )
              | ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV233 @ SV3 @ SV123 ) )
        = $true )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[763]) ).

thf(811,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
              | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                        | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                  | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
            | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[764]) ).

thf(812,plain,
    ! [SV185: $i,SV125: $i,SV65: $i,SV5: $i] :
      ( ( ( ~ ( para @ SV5 @ SV65 @ SV125 @ SV185 ) )
        = $false )
      | ( ( eqangle @ SV5 @ SV65 @ SV125 @ SV185 @ SV125 @ SV185 @ SV5 @ SV65 )
        = $false )
      | ( ( perp @ SV5 @ SV65 @ SV125 @ SV185 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[765]) ).

thf(813,plain,
    ! [SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY1145: $i,SY1146: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
                  | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SY1145 @ SY1146 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SY1145 @ SY1146 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[766]) ).

thf(814,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
              | ~ ( coll @ SV67 @ SV187 @ SV235 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
              | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[767]) ).

thf(815,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
          | ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
              | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[768]) ).

thf(816,plain,
    ! [SV10: $i,SV70: $i,SV189: $i,SV130: $i] :
      ( ( ( coll @ SV130 @ SV189 @ SV70 )
        = $false )
      | ( ( eqangle @ SV130 @ SV10 @ SV130 @ SV70 @ SV189 @ SV10 @ SV189 @ SV70 )
        = $false )
      | ( ( cyclic @ SV10 @ SV70 @ SV130 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[769]) ).

thf(817,plain,
    ! [SV290: $i,SV282: $i,SV266: $i,SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SV282 @ SV290 )
              | ~ ( para @ SV238 @ SV266 @ SV282 @ SV290 ) ) )
        = $false )
      | ( ( para @ SV13 @ SV73 @ SV133 @ SV192 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[770]) ).

thf(818,plain,
    ! [SV239: $i,SV134: $i,SV74: $i,SV14: $i,SV193: $i] :
      ( ( ( circle @ SV193 @ SV14 @ SV74 @ SV134 )
        = $false )
      | ( ( ~ ( eqangle @ SV14 @ SV239 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 ) )
        = $true )
      | ( ( perp @ SV193 @ SV14 @ SV14 @ SV239 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(819,plain,
    ! [SV136: $i,SV240: $i,SV76: $i,SV16: $i,SV194: $i] :
      ( ( ( midp @ SV194 @ SV16 @ SV76 )
        = $false )
      | ( ( ~ ( midp @ SV240 @ SV16 @ SV136 ) )
        = $true )
      | ( ( para @ SV194 @ SV240 @ SV76 @ SV136 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(820,plain,
    ! [SV291: $i,SV283: $i,SV267: $i,SV241: $i,SV195: $i,SV137: $i,SV77: $i,SV17: $i] :
      ( ( ( eqangle @ SV17 @ SV77 @ SV137 @ SV195 @ SV241 @ SV267 @ SV283 @ SV291 )
        = $false )
      | ( ( eqangle @ SV17 @ SV77 @ SV241 @ SV267 @ SV137 @ SV195 @ SV283 @ SV291 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(821,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ( ~ ( cong @ SV138 @ SV18 @ SV138 @ SV78 ) )
        = $true )
      | ( ( ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
              | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[775]) ).

thf(822,plain,
    ! [SV242: $i,SV139: $i,SV79: $i,SV19: $i,SV196: $i] :
      ( ( ( circle @ SV196 @ SV19 @ SV79 @ SV139 )
        = $false )
      | ( ( ~ ( midp @ SV242 @ SV79 @ SV139 ) )
        = $true )
      | ( ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SV196 @ SV79 @ SV196 @ SV242 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[776]) ).

thf(823,plain,
    ! [SV243: $i,SV140: $i,SV80: $i,SV20: $i,SV197: $i] :
      ( ( ( circle @ SV197 @ SV20 @ SV80 @ SV140 )
        = $false )
      | ( ( ~ ( perp @ SV197 @ SV20 @ SV20 @ SV243 ) )
        = $true )
      | ( ( eqangle @ SV20 @ SV243 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[777]) ).

thf(824,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
                | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        = $true )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[778]) ).

thf(825,plain,
    ! [SV199: $i,SV142: $i,SV269: $i,SV82: $i,SV22: $i,SV245: $i] :
      ( ( ( ~ ( midp @ SV245 @ SV22 @ SV82 ) )
        = $true )
      | ( ( ~ ( midp @ SV269 @ SV142 @ SV199 ) )
        = $true )
      | ( ( eqratio @ SV245 @ SV22 @ SV22 @ SV82 @ SV269 @ SV142 @ SV142 @ SV199 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[779]) ).

thf(826,plain,
    ! [SV83: $i,SV143: $i,SV23: $i,SV200: $i] :
      ( ( ( coll @ SV200 @ SV23 @ SV143 )
        = $false )
      | ( ( circle @ SV200 @ SV23 @ SV83 @ SV143 )
        = $false )
      | ( ( perp @ SV23 @ SV83 @ SV83 @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[780]) ).

thf(827,plain,
    ! [SV85: $i,SV25: $i,SV145: $i] :
      ( ( ( coll @ SV145 @ SV25 @ SV85 )
        = $true )
      | ( ( eqangle @ SV145 @ SV25 @ SV25 @ SV85 @ SV25 @ SV85 @ SV145 @ SV85 )
        = $false )
      | ( ( cong @ SV145 @ SV25 @ SV145 @ SV85 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[781]) ).

thf(828,plain,
    ! [SV87: $i,SV27: $i,SV147: $i,SV201: $i] :
      ( ( ( perp @ SV201 @ SV147 @ SV27 @ SV87 )
        = $false )
      | ( ( midp @ SV147 @ SV27 @ SV87 )
        = $false )
      | ( ( cong @ SV201 @ SV27 @ SV201 @ SV87 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(829,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ( ~ ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
          | ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
              | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[783]) ).

thf(830,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
          | ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) )
        = $true )
      | ( ( circle @ ( sK15_SY1006 @ SV203 @ SV89 @ SV149 @ SV29 ) @ SV29 @ SV89 @ SV149 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[784]) ).

thf(831,plain,
    ! [SV270: $i,SV246: $i,SV204: $i,SV150: $i,SV90: $i,SV30: $i] :
      ( ( ( ~ ( para @ SV30 @ SV90 @ SV150 @ SV204 ) )
        = $true )
      | ( ( ~ ( perp @ SV150 @ SV204 @ SV246 @ SV270 ) )
        = $true )
      | ( ( perp @ SV30 @ SV90 @ SV246 @ SV270 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[785]) ).

thf(832,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
          | ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
              | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[786]) ).

thf(833,plain,
    ! [SV271: $i,SV247: $i,SV206: $i,SV153: $i,SV93: $i,SV33: $i] :
      ( ( ( ~ ( perp @ SV33 @ SV93 @ SV153 @ SV206 ) )
        = $true )
      | ( ( ~ ( perp @ SV153 @ SV206 @ SV247 @ SV271 ) )
        = $true )
      | ( ( para @ SV33 @ SV93 @ SV247 @ SV271 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[787]) ).

thf(834,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ( ~ ( ~ ( midp @ SV248 @ SV34 @ SV94 )
              | ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) ) )
        = $false )
      | ( ( ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
        = $true )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[788]) ).

thf(835,plain,
    ! [SV292: $i,SV284: $i,SV272: $i,SV249: $i,SV209: $i,SV156: $i,SV96: $i,SV36: $i] :
      ( ( ( eqangle @ SV36 @ SV96 @ SV156 @ SV209 @ SV249 @ SV272 @ SV284 @ SV292 )
        = $false )
      | ( ( eqangle @ SV96 @ SV36 @ SV156 @ SV209 @ SV249 @ SV272 @ SV284 @ SV292 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[789]) ).

thf(836,plain,
    ! [SV157: $i,SV97: $i,SV210: $i,SV37: $i] :
      ( ( ( cong @ SV37 @ SV210 @ SV97 @ SV210 )
        = $false )
      | ( ( cong @ SV37 @ SV157 @ SV97 @ SV157 )
        = $false )
      | ( ( perp @ SV37 @ SV97 @ SV157 @ SV210 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(837,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
              | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) ) )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
              | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[791]) ).

thf(838,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                          | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                    | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
              | ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        | ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[792]) ).

thf(839,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV252 @ SV41 @ SV101 )
                | ~ ( midp @ SV274 @ SV161 @ SV213 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                    | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
              | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[793]) ).

thf(840,plain,
    ! [SV214: $i,SV162: $i,SV102: $i,SV42: $i,SV253: $i] :
      ( ( ( midp @ SV253 @ SV42 @ SV102 )
        = $false )
      | ( ( ~ ( midp @ SV253 @ SV162 @ SV214 ) )
        = $true )
      | ( ( para @ SV42 @ SV162 @ SV102 @ SV214 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[794]) ).

thf(841,plain,
    ! [SV104: $i,SV164: $i,SV44: $i,SV216: $i] :
      ( ( ( cong @ SV216 @ SV44 @ SV216 @ SV164 )
        = $false )
      | ( ( cong @ SV216 @ SV44 @ SV216 @ SV104 )
        = $false )
      | ( ( circle @ SV216 @ SV44 @ SV104 @ SV164 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[795]) ).

thf(842,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ( ~ ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
          | ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
              | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[796]) ).

thf(843,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                            | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                      | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
                | ~ ( coll @ SV276 @ SV46 @ SV106 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[797]) ).

thf(844,plain,
    ! [SV110: $i,SV50: $i,SV221: $i,SV170: $i] :
      ( ( ( ~ ( coll @ SV170 @ SV221 @ SV50 ) )
        = $false )
      | ( ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SV221 @ SV50 @ SV221 @ SV110 )
        = $false )
      | ( ( cyclic @ SV50 @ SV110 @ SV170 @ SV221 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(845,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                    | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
              | ~ ( midp @ SV256 @ SV111 @ SV222 ) ) )
        = $false )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(846,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ( ~ ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
              | ~ ( coll @ SV257 @ SV112 @ SV172 ) ) )
        = $false )
      | ( ( ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) )
        = $true )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[801]) ).

thf(847,plain,
    ! [SV113: $i,SV173: $i,SV53: $i,SV224: $i] :
      ( ( ( midp @ SV224 @ SV53 @ SV173 )
        = $false )
      | ( ( perp @ SV53 @ SV113 @ SV113 @ SV173 )
        = $false )
      | ( ( cong @ SV53 @ SV224 @ SV113 @ SV224 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[802]) ).

thf(848,plain,
    ! [SV175: $i,SV225: $i,SV115: $i,SV55: $i] :
      ( ( ( coll @ SV55 @ SV115 @ SV225 )
        = $false )
      | ( ( coll @ SV55 @ SV115 @ SV175 )
        = $false )
      | ( ( coll @ SV175 @ SV225 @ SV55 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[803]) ).

thf(849,plain,
    ! [SV293: $i,SV286: $i,SV277: $i,SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SV286 @ SV293 )
              | ~ ( perp @ SV258 @ SV277 @ SV286 @ SV293 ) ) )
        = $false )
      | ( ( perp @ SV56 @ SV116 @ SV176 @ SV226 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[804]) ).

thf(850,plain,
    ! [SV294: $i,SV287: $i,SV278: $i,SV259: $i,SV227: $i,SV177: $i,SV117: $i,SV57: $i] :
      ( ( ( eqangle @ SV57 @ SV117 @ SV177 @ SV227 @ SV259 @ SV278 @ SV287 @ SV294 )
        = $false )
      | ( ( eqangle @ SV259 @ SV278 @ SV287 @ SV294 @ SV57 @ SV117 @ SV177 @ SV227 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[805]) ).

thf(851,plain,
    ! [SV228: $i,SV178: $i,SV118: $i,SV58: $i] :
      ( ( ( ~ ( perp @ SV58 @ SV118 @ SV178 @ SV228 ) )
        = $false )
      | ( ( eqangle @ SV58 @ SV118 @ SV178 @ SV228 @ SV178 @ SV228 @ SV58 @ SV118 )
        = $false )
      | ( ( para @ SV58 @ SV118 @ SV178 @ SV228 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[806]) ).

thf(852,plain,
    ! [SV295: $i,SV288: $i,SV279: $i,SV260: $i,SV229: $i,SV179: $i,SV119: $i,SV59: $i] :
      ( ( ( eqangle @ SV59 @ SV119 @ SV179 @ SV229 @ SV260 @ SV279 @ SV288 @ SV295 )
        = $false )
      | ( ( eqangle @ SV179 @ SV229 @ SV59 @ SV119 @ SV288 @ SV295 @ SV260 @ SV279 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[807]) ).

thf(853,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                            | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
                      | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
                | ~ ( coll @ SV181 @ SV231 @ SV261 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[808]) ).

thf(854,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                              | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                        | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
                  | ~ ( ( SV232 != SV262 ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                            | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                      | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
                | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[809]) ).

thf(855,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ( midp @ SV183 @ SV3 @ SV63 )
          | ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) )
        = $true )
      | ( ( ~ ( coll @ SV233 @ SV3 @ SV123 ) )
        = $true )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[810]) ).

thf(856,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
                | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                          | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                    | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
              | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[811]) ).

thf(857,plain,
    ! [SV185: $i,SV125: $i,SV65: $i,SV5: $i] :
      ( ( ( para @ SV5 @ SV65 @ SV125 @ SV185 )
        = $true )
      | ( ( eqangle @ SV5 @ SV65 @ SV125 @ SV185 @ SV125 @ SV185 @ SV5 @ SV65 )
        = $false )
      | ( ( perp @ SV5 @ SV65 @ SV125 @ SV185 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[812]) ).

thf(858,plain,
    ! [SV298: $i,SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ! [SY1147: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
                  | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SV298 @ SY1147 ) )
            | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SV298 @ SY1147 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[813]) ).

thf(859,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
          | ~ ( coll @ SV67 @ SV187 @ SV235 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
              | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[814]) ).

thf(860,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ( ~ ( cong @ SV129 @ SV9 @ SV129 @ SV69 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
              | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[815]) ).

thf(861,plain,
    ! [SV290: $i,SV282: $i,SV266: $i,SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SV282 @ SV290 )
          | ~ ( para @ SV238 @ SV266 @ SV282 @ SV290 ) )
        = $true )
      | ( ( para @ SV13 @ SV73 @ SV133 @ SV192 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[817]) ).

thf(862,plain,
    ! [SV193: $i,SV134: $i,SV74: $i,SV239: $i,SV14: $i] :
      ( ( ( eqangle @ SV14 @ SV239 @ SV14 @ SV74 @ SV134 @ SV14 @ SV134 @ SV74 )
        = $false )
      | ( ( circle @ SV193 @ SV14 @ SV74 @ SV134 )
        = $false )
      | ( ( perp @ SV193 @ SV14 @ SV14 @ SV239 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[818]) ).

thf(863,plain,
    ! [SV76: $i,SV194: $i,SV136: $i,SV16: $i,SV240: $i] :
      ( ( ( midp @ SV240 @ SV16 @ SV136 )
        = $false )
      | ( ( midp @ SV194 @ SV16 @ SV76 )
        = $false )
      | ( ( para @ SV194 @ SV240 @ SV76 @ SV136 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[819]) ).

thf(864,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
        = $false )
      | ( ( ~ ( perp @ SV18 @ SV138 @ SV138 @ SV78 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
              | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[821]) ).

thf(865,plain,
    ! [SV19: $i,SV196: $i,SV139: $i,SV79: $i,SV242: $i] :
      ( ( ( midp @ SV242 @ SV79 @ SV139 )
        = $false )
      | ( ( circle @ SV196 @ SV19 @ SV79 @ SV139 )
        = $false )
      | ( ( eqangle @ SV19 @ SV79 @ SV19 @ SV139 @ SV196 @ SV79 @ SV196 @ SV242 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(866,plain,
    ! [SV140: $i,SV80: $i,SV243: $i,SV20: $i,SV197: $i] :
      ( ( ( perp @ SV197 @ SV20 @ SV20 @ SV243 )
        = $false )
      | ( ( circle @ SV197 @ SV20 @ SV80 @ SV140 )
        = $false )
      | ( ( eqangle @ SV20 @ SV243 @ SV20 @ SV80 @ SV140 @ SV20 @ SV140 @ SV80 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[823]) ).

thf(867,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
              | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) ) )
        = $false )
      | ( ( ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        = $true )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[824]) ).

thf(868,plain,
    ! [SV199: $i,SV142: $i,SV269: $i,SV82: $i,SV22: $i,SV245: $i] :
      ( ( ( midp @ SV245 @ SV22 @ SV82 )
        = $false )
      | ( ( ~ ( midp @ SV269 @ SV142 @ SV199 ) )
        = $true )
      | ( ( eqratio @ SV245 @ SV22 @ SV22 @ SV82 @ SV269 @ SV142 @ SV142 @ SV199 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[825]) ).

thf(869,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ( ~ ( perp @ SV148 @ SV202 @ SV28 @ SV88 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
              | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[829]) ).

thf(870,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ( ~ ( perp @ SV29 @ SV149 @ SV149 @ SV89 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) )
        = $true )
      | ( ( circle @ ( sK15_SY1006 @ SV203 @ SV89 @ SV149 @ SV29 ) @ SV29 @ SV89 @ SV149 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[830]) ).

thf(871,plain,
    ! [SV270: $i,SV246: $i,SV204: $i,SV150: $i,SV90: $i,SV30: $i] :
      ( ( ( para @ SV30 @ SV90 @ SV150 @ SV204 )
        = $false )
      | ( ( ~ ( perp @ SV150 @ SV204 @ SV246 @ SV270 ) )
        = $true )
      | ( ( perp @ SV30 @ SV90 @ SV246 @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(872,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ( ~ ( perp @ SV151 @ SV91 @ SV91 @ SV31 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
              | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[832]) ).

thf(873,plain,
    ! [SV271: $i,SV247: $i,SV206: $i,SV153: $i,SV93: $i,SV33: $i] :
      ( ( ( perp @ SV33 @ SV93 @ SV153 @ SV206 )
        = $false )
      | ( ( ~ ( perp @ SV153 @ SV206 @ SV247 @ SV271 ) )
        = $true )
      | ( ( para @ SV33 @ SV93 @ SV247 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[833]) ).

thf(874,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ( ~ ( midp @ SV248 @ SV34 @ SV94 )
          | ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) )
        = $true )
      | ( ( ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
        = $true )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[834]) ).

thf(875,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
          | ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
              | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[837]) ).

thf(876,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                            | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                      | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
                | ~ ( coll @ SV212 @ SV40 @ SV100 ) ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[838]) ).

thf(877,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ( ~ ( ~ ( midp @ SV252 @ SV41 @ SV101 )
              | ~ ( midp @ SV274 @ SV161 @ SV213 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                    | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
              | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(878,plain,
    ! [SV102: $i,SV42: $i,SV214: $i,SV162: $i,SV253: $i] :
      ( ( ( midp @ SV253 @ SV162 @ SV214 )
        = $false )
      | ( ( midp @ SV253 @ SV42 @ SV102 )
        = $false )
      | ( ( para @ SV42 @ SV162 @ SV102 @ SV214 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[840]) ).

thf(879,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ( ~ ( perp @ SV165 @ SV217 @ SV45 @ SV105 ) )
        = $true )
      | ( ( ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
              | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[842]) ).

thf(880,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                          | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                    | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
              | ~ ( coll @ SV276 @ SV46 @ SV106 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[843]) ).

thf(881,plain,
    ! [SV110: $i,SV50: $i,SV221: $i,SV170: $i] :
      ( ( ( coll @ SV170 @ SV221 @ SV50 )
        = $true )
      | ( ( eqangle @ SV170 @ SV50 @ SV170 @ SV110 @ SV221 @ SV50 @ SV221 @ SV110 )
        = $false )
      | ( ( cyclic @ SV50 @ SV110 @ SV170 @ SV221 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[844]) ).

thf(882,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
          | ~ ( midp @ SV256 @ SV111 @ SV222 ) )
        = $true )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[845]) ).

thf(883,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
          | ~ ( coll @ SV257 @ SV112 @ SV172 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) )
        = $true )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[846]) ).

thf(884,plain,
    ! [SV293: $i,SV286: $i,SV277: $i,SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SV286 @ SV293 )
          | ~ ( perp @ SV258 @ SV277 @ SV286 @ SV293 ) )
        = $true )
      | ( ( perp @ SV56 @ SV116 @ SV176 @ SV226 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[849]) ).

thf(885,plain,
    ! [SV228: $i,SV178: $i,SV118: $i,SV58: $i] :
      ( ( ( perp @ SV58 @ SV118 @ SV178 @ SV228 )
        = $true )
      | ( ( eqangle @ SV58 @ SV118 @ SV178 @ SV228 @ SV178 @ SV228 @ SV58 @ SV118 )
        = $false )
      | ( ( para @ SV58 @ SV118 @ SV178 @ SV228 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[851]) ).

thf(886,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                          | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
                    | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
              | ~ ( coll @ SV181 @ SV231 @ SV261 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[853]) ).

thf(887,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                          | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                    | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
              | ~ ( ( SV232 != SV262 ) ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                        | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                  | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
            | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[854]) ).

thf(888,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ( ~ ( midp @ SV183 @ SV3 @ SV63 ) )
        = $true )
      | ( ( ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) )
        = $true )
      | ( ( ~ ( coll @ SV233 @ SV3 @ SV123 ) )
        = $true )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[855]) ).

thf(889,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ( ~ ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
              | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                          | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                    | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
              | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[856]) ).

thf(890,plain,
    ! [SV299: $i,SV298: $i,SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
              | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SV298 @ SV299 ) )
        | ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SV298 @ SV299 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[858]) ).

thf(891,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ( ~ ( perp @ SV7 @ SV127 @ SV127 @ SV67 ) )
        = $true )
      | ( ( ~ ( coll @ SV67 @ SV187 @ SV235 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
              | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[859]) ).

thf(892,plain,
    ! [SV188: $i,SV69: $i,SV9: $i,SV129: $i] :
      ( ( ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
        = $false )
      | ( ( ~ ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
              | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[860]) ).

thf(893,plain,
    ! [SV290: $i,SV282: $i,SV266: $i,SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ( ~ ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SV282 @ SV290 ) )
        = $true )
      | ( ( ~ ( para @ SV238 @ SV266 @ SV282 @ SV290 ) )
        = $true )
      | ( ( para @ SV13 @ SV73 @ SV133 @ SV192 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[861]) ).

thf(894,plain,
    ! [SV78: $i,SV138: $i,SV18: $i] :
      ( ( ( perp @ SV18 @ SV138 @ SV138 @ SV78 )
        = $false )
      | ( ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
              | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[864]) ).

thf(895,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
          | ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        = $true )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[867]) ).

thf(896,plain,
    ! [SV82: $i,SV22: $i,SV245: $i,SV199: $i,SV142: $i,SV269: $i] :
      ( ( ( midp @ SV269 @ SV142 @ SV199 )
        = $false )
      | ( ( midp @ SV245 @ SV22 @ SV82 )
        = $false )
      | ( ( eqratio @ SV245 @ SV22 @ SV22 @ SV82 @ SV269 @ SV142 @ SV142 @ SV199 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(897,plain,
    ! [SV88: $i,SV28: $i,SV202: $i,SV148: $i] :
      ( ( ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
        = $false )
      | ( ( ~ ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
              | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(898,plain,
    ! [SV203: $i,SV89: $i,SV149: $i,SV29: $i] :
      ( ( ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
        = $false )
      | ( ( ~ ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 ) )
        = $true )
      | ( ( circle @ ( sK15_SY1006 @ SV203 @ SV89 @ SV149 @ SV29 ) @ SV29 @ SV89 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(899,plain,
    ! [SV90: $i,SV30: $i,SV270: $i,SV246: $i,SV204: $i,SV150: $i] :
      ( ( ( perp @ SV150 @ SV204 @ SV246 @ SV270 )
        = $false )
      | ( ( para @ SV30 @ SV90 @ SV150 @ SV204 )
        = $false )
      | ( ( perp @ SV30 @ SV90 @ SV246 @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(900,plain,
    ! [SV205: $i,SV31: $i,SV91: $i,SV151: $i] :
      ( ( ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
        = $false )
      | ( ( ~ ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
              | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(901,plain,
    ! [SV93: $i,SV33: $i,SV271: $i,SV247: $i,SV206: $i,SV153: $i] :
      ( ( ( perp @ SV153 @ SV206 @ SV247 @ SV271 )
        = $false )
      | ( ( perp @ SV33 @ SV93 @ SV153 @ SV206 )
        = $false )
      | ( ( para @ SV33 @ SV93 @ SV247 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(902,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ( ~ ( midp @ SV248 @ SV34 @ SV94 ) )
        = $true )
      | ( ( ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) )
        = $true )
      | ( ( ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
        = $true )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[874]) ).

thf(903,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
              | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[875]) ).

thf(904,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                          | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                    | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
              | ~ ( coll @ SV212 @ SV40 @ SV100 ) ) )
        = $false )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(905,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ( ~ ( midp @ SV252 @ SV41 @ SV101 )
          | ~ ( midp @ SV274 @ SV161 @ SV213 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                    | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
              | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[877]) ).

thf(906,plain,
    ! [SV105: $i,SV45: $i,SV217: $i,SV165: $i] :
      ( ( ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
        = $false )
      | ( ( ~ ( cong @ SV165 @ SV45 @ SV165 @ SV105 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
              | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(907,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                      | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
          | ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[880]) ).

thf(908,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
                | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) ) )
        = $true )
      | ( ( ~ ( midp @ SV256 @ SV111 @ SV222 ) )
        = $true )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[882]) ).

thf(909,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ( ~ ( circle @ SV223 @ SV52 @ SV112 @ SV172 ) )
        = $true )
      | ( ( ~ ( coll @ SV257 @ SV112 @ SV172 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) )
        = $true )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[883]) ).

thf(910,plain,
    ! [SV293: $i,SV286: $i,SV277: $i,SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ( ~ ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SV286 @ SV293 ) )
        = $true )
      | ( ( ~ ( perp @ SV258 @ SV277 @ SV286 @ SV293 ) )
        = $true )
      | ( ( perp @ SV56 @ SV116 @ SV176 @ SV226 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[884]) ).

thf(911,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                      | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
                | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
          | ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[886]) ).

thf(912,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                            | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                      | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
                | ~ ( ( SV232 != SV262 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[887]) ).

thf(913,plain,
    ! [SV123: $i,SV233: $i,SV63: $i,SV3: $i,SV183: $i] :
      ( ( ( midp @ SV183 @ SV3 @ SV63 )
        = $false )
      | ( ( ~ ( para @ SV183 @ SV233 @ SV63 @ SV123 ) )
        = $true )
      | ( ( ~ ( coll @ SV233 @ SV3 @ SV123 ) )
        = $true )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[888]) ).

thf(914,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
          | ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                          | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                    | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
              | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[889]) ).

thf(915,plain,
    ! [SV299: $i,SV298: $i,SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
                | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SV298 @ SV299 ) ) )
        = $true )
      | ( ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SV298 @ SV299 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[890]) ).

thf(916,plain,
    ! [SV235: $i,SV187: $i,SV67: $i,SV127: $i,SV7: $i] :
      ( ( ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
        = $false )
      | ( ( ~ ( coll @ SV67 @ SV187 @ SV235 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
              | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[891]) ).

thf(917,plain,
    ! [SV69: $i,SV188: $i,SV129: $i,SV9: $i] :
      ( ( ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 )
        = $false )
      | ( ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
              | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(918,plain,
    ! [SV290: $i,SV282: $i,SV266: $i,SV238: $i,SV192: $i,SV133: $i,SV73: $i,SV13: $i] :
      ( ( ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SV282 @ SV290 )
        = $false )
      | ( ( ~ ( para @ SV238 @ SV266 @ SV282 @ SV290 ) )
        = $true )
      | ( ( para @ SV13 @ SV73 @ SV133 @ SV192 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[893]) ).

thf(919,plain,
    ! [SV78: $i,SV138: $i,SV18: $i] :
      ( ( ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
          | ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) )
        = $false )
      | ( ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
        = $false )
      | ( ( perp @ SV18 @ SV138 @ SV138 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[894]) ).

thf(920,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        = $true )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[895]) ).

thf(921,plain,
    ! [SV88: $i,SV202: $i,SV148: $i,SV28: $i] :
      ( ( ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 )
        = $false )
      | ( ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
              | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[897]) ).

thf(922,plain,
    ! [SV203: $i,SV149: $i,SV89: $i,SV29: $i] :
      ( ( ( cyclic @ SV29 @ SV89 @ SV149 @ SV203 )
        = $false )
      | ( ( perp @ SV29 @ SV149 @ SV149 @ SV89 )
        = $false )
      | ( ( circle @ ( sK15_SY1006 @ SV203 @ SV89 @ SV149 @ SV29 ) @ SV29 @ SV89 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(923,plain,
    ! [SV31: $i,SV91: $i,SV151: $i,SV205: $i] :
      ( ( ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 )
        = $false )
      | ( ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
              | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(924,plain,
    ! [SV207: $i,SV154: $i,SV94: $i,SV34: $i,SV248: $i] :
      ( ( ( midp @ SV248 @ SV34 @ SV94 )
        = $false )
      | ( ( ~ ( para @ SV34 @ SV154 @ SV94 @ SV207 ) )
        = $true )
      | ( ( ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
        = $true )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(925,plain,
    ! [SV250: $i,SV211: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
        = $false )
      | ( ( ~ ~ ( coll @ SV39 @ SV99 @ SV159 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
              | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[903]) ).

thf(926,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                      | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
          | ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[904]) ).

thf(927,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ( ~ ( midp @ SV252 @ SV41 @ SV101 ) )
        = $true )
      | ( ( ~ ( midp @ SV274 @ SV161 @ SV213 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                    | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
              | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[905]) ).

thf(928,plain,
    ! [SV217: $i,SV105: $i,SV45: $i,SV165: $i] :
      ( ( ( cong @ SV165 @ SV45 @ SV165 @ SV105 )
        = $false )
      | ( ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
              | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[906]) ).

thf(929,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                      | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
                | ~ ( coll @ SV255 @ SV106 @ SV218 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[907]) ).

thf(930,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ( ~ ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
              | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) ) )
        = $false )
      | ( ( ~ ( midp @ SV256 @ SV111 @ SV222 ) )
        = $true )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(931,plain,
    ! [SV257: $i,SV172: $i,SV112: $i,SV52: $i,SV223: $i] :
      ( ( ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
        = $false )
      | ( ( ~ ( coll @ SV257 @ SV112 @ SV172 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) )
        = $true )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[909]) ).

thf(932,plain,
    ! [SV293: $i,SV286: $i,SV277: $i,SV258: $i,SV226: $i,SV176: $i,SV116: $i,SV56: $i] :
      ( ( ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SV286 @ SV293 )
        = $false )
      | ( ( ~ ( perp @ SV258 @ SV277 @ SV286 @ SV293 ) )
        = $true )
      | ( ( perp @ SV56 @ SV116 @ SV176 @ SV226 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(933,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                      | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
                | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[911]) ).

thf(934,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                          | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                    | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
              | ~ ( ( SV232 != SV262 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[912]) ).

thf(935,plain,
    ! [SV3: $i,SV123: $i,SV63: $i,SV233: $i,SV183: $i] :
      ( ( ( para @ SV183 @ SV233 @ SV63 @ SV123 )
        = $false )
      | ( ( midp @ SV183 @ SV3 @ SV63 )
        = $false )
      | ( ( ~ ( coll @ SV233 @ SV3 @ SV123 ) )
        = $true )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[913]) ).

thf(936,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ( ~ ( perp @ SV4 @ SV184 @ SV64 @ SV124 ) )
        = $true )
      | ( ( ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                          | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                    | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
              | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[914]) ).

thf(937,plain,
    ! [SV299: $i,SV298: $i,SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
              | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SV298 @ SV299 ) ) )
        = $false )
      | ( ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SV298 @ SV299 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[915]) ).

thf(938,plain,
    ! [SV127: $i,SV7: $i,SV235: $i,SV187: $i,SV67: $i] :
      ( ( ( coll @ SV67 @ SV187 @ SV235 )
        = $false )
      | ( ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
              | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[916]) ).

thf(939,plain,
    ! [SV129: $i,SV188: $i,SV9: $i,SV69: $i] :
      ( ( ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
          | ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) )
        = $false )
      | ( ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
        = $false )
      | ( ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[917]) ).

thf(940,plain,
    ! [SV192: $i,SV133: $i,SV73: $i,SV13: $i,SV290: $i,SV282: $i,SV266: $i,SV238: $i] :
      ( ( ( para @ SV238 @ SV266 @ SV282 @ SV290 )
        = $false )
      | ( ( eqangle @ SV13 @ SV73 @ SV133 @ SV192 @ SV238 @ SV266 @ SV282 @ SV290 )
        = $false )
      | ( ( para @ SV13 @ SV73 @ SV133 @ SV192 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[918]) ).

thf(941,plain,
    ! [SV78: $i,SV138: $i,SV18: $i] :
      ( ( ( ~ ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) )
        = $false )
      | ( ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
        = $false )
      | ( ( perp @ SV18 @ SV138 @ SV138 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[919]) ).

thf(942,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ( ~ ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) ) )
        = $false )
      | ( ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
        = $false )
      | ( ( perp @ SV18 @ SV138 @ SV138 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[919]) ).

thf(943,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
        = $false )
      | ( ( ~ ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        = $true )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[920]) ).

thf(944,plain,
    ! [SV148: $i,SV202: $i,SV28: $i,SV88: $i] :
      ( ( ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
          | ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) )
        = $false )
      | ( ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
        = $false )
      | ( ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[921]) ).

thf(945,plain,
    ! [SV151: $i,SV91: $i,SV31: $i,SV205: $i] :
      ( ( ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
          | ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) )
        = $false )
      | ( ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
        = $false )
      | ( ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[923]) ).

thf(946,plain,
    ! [SV248: $i,SV207: $i,SV94: $i,SV154: $i,SV34: $i] :
      ( ( ( para @ SV34 @ SV154 @ SV94 @ SV207 )
        = $false )
      | ( ( midp @ SV248 @ SV34 @ SV94 )
        = $false )
      | ( ( ~ ( para @ SV34 @ SV207 @ SV94 @ SV154 ) )
        = $true )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(947,plain,
    ! [SV250: $i,SV211: $i,SV159: $i,SV99: $i,SV39: $i] :
      ( ( ( ~ ( coll @ SV39 @ SV99 @ SV159 ) )
        = $false )
      | ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
              | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(948,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                      | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
                | ~ ( coll @ SV160 @ SV40 @ SV100 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[926]) ).

thf(949,plain,
    ! [SV213: $i,SV161: $i,SV274: $i,SV101: $i,SV41: $i,SV252: $i] :
      ( ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( ~ ( midp @ SV274 @ SV161 @ SV213 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                    | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
              | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[927]) ).

thf(950,plain,
    ! [SV165: $i,SV217: $i,SV45: $i,SV105: $i] :
      ( ( ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
          | ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) )
        = $false )
      | ( ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
        = $false )
      | ( ( cong @ SV165 @ SV45 @ SV165 @ SV105 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[928]) ).

thf(951,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                    | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
              | ~ ( coll @ SV255 @ SV106 @ SV218 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[929]) ).

thf(952,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
          | ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
        = $true )
      | ( ( ~ ( midp @ SV256 @ SV111 @ SV222 ) )
        = $true )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[930]) ).

thf(953,plain,
    ! [SV52: $i,SV223: $i,SV172: $i,SV112: $i,SV257: $i] :
      ( ( ( coll @ SV257 @ SV112 @ SV172 )
        = $false )
      | ( ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
        = $false )
      | ( ( ~ ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 ) )
        = $true )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[931]) ).

thf(954,plain,
    ! [SV226: $i,SV176: $i,SV116: $i,SV56: $i,SV293: $i,SV286: $i,SV277: $i,SV258: $i] :
      ( ( ( perp @ SV258 @ SV277 @ SV286 @ SV293 )
        = $false )
      | ( ( eqangle @ SV56 @ SV116 @ SV176 @ SV226 @ SV258 @ SV277 @ SV286 @ SV293 )
        = $false )
      | ( ( perp @ SV56 @ SV116 @ SV176 @ SV226 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[932]) ).

thf(955,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                    | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
              | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(956,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                      | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
          | ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[934]) ).

thf(957,plain,
    ! [SV63: $i,SV183: $i,SV123: $i,SV3: $i,SV233: $i] :
      ( ( ( coll @ SV233 @ SV3 @ SV123 )
        = $false )
      | ( ( midp @ SV183 @ SV3 @ SV63 )
        = $false )
      | ( ( para @ SV183 @ SV233 @ SV63 @ SV123 )
        = $false )
      | ( ( midp @ SV233 @ SV3 @ SV123 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[935]) ).

thf(958,plain,
    ! [SV124: $i,SV64: $i,SV184: $i,SV4: $i] :
      ( ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( ~ ( perp @ SV64 @ SV184 @ SV4 @ SV124 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                          | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                    | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
              | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(959,plain,
    ! [SV299: $i,SV298: $i,SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
          | ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SV298 @ SV299 ) )
        = $true )
      | ( ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SV298 @ SV299 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[937]) ).

thf(960,plain,
    ! [SV7: $i,SV127: $i,SV67: $i,SV187: $i,SV235: $i] :
      ( ( ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
          | ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) )
        = $false )
      | ( ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
        = $false )
      | ( ( coll @ SV67 @ SV187 @ SV235 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[938]) ).

thf(961,plain,
    ! [SV129: $i,SV188: $i,SV9: $i,SV69: $i] :
      ( ( ( ~ ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) ) )
        = $false )
      | ( ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
        = $false )
      | ( ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[939]) ).

thf(962,plain,
    ! [SV129: $i,SV9: $i,SV69: $i,SV188: $i] :
      ( ( ( ~ ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 ) )
        = $false )
      | ( ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
        = $false )
      | ( ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[939]) ).

thf(963,plain,
    ! [SV78: $i,SV138: $i,SV18: $i] :
      ( ( ( coll @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
        = $true )
      | ( ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
        = $false )
      | ( ( perp @ SV18 @ SV138 @ SV138 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[941]) ).

thf(964,plain,
    ! [SV78: $i,SV18: $i,SV138: $i] :
      ( ( ( cong @ SV138 @ SV18 @ SV138 @ ( sK11_SY877 @ SV78 @ SV18 @ SV138 ) )
        = $true )
      | ( ( cong @ SV138 @ SV18 @ SV138 @ SV78 )
        = $false )
      | ( ( perp @ SV18 @ SV138 @ SV138 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[942]) ).

thf(965,plain,
    ! [SV244: $i,SV268: $i,SV198: $i,SV81: $i,SV141: $i,SV21: $i] :
      ( ( ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 )
        = $false )
      | ( ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
        = $false )
      | ( ( ~ ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        = $true )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[943]) ).

thf(966,plain,
    ! [SV148: $i,SV202: $i,SV28: $i,SV88: $i] :
      ( ( ( ~ ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) ) )
        = $false )
      | ( ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
        = $false )
      | ( ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[944]) ).

thf(967,plain,
    ! [SV148: $i,SV202: $i,SV28: $i,SV88: $i] :
      ( ( ( ~ ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 ) )
        = $false )
      | ( ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
        = $false )
      | ( ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[944]) ).

thf(968,plain,
    ! [SV151: $i,SV91: $i,SV31: $i,SV205: $i] :
      ( ( ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 ) )
        = $false )
      | ( ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
        = $false )
      | ( ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[945]) ).

thf(969,plain,
    ! [SV151: $i,SV91: $i,SV31: $i,SV205: $i] :
      ( ( ( ~ ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 ) )
        = $false )
      | ( ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
        = $false )
      | ( ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[945]) ).

thf(970,plain,
    ! [SV248: $i,SV154: $i,SV94: $i,SV207: $i,SV34: $i] :
      ( ( ( para @ SV34 @ SV207 @ SV94 @ SV154 )
        = $false )
      | ( ( midp @ SV248 @ SV34 @ SV94 )
        = $false )
      | ( ( para @ SV34 @ SV154 @ SV94 @ SV207 )
        = $false )
      | ( ( midp @ SV248 @ SV154 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[946]) ).

thf(971,plain,
    ! [SV250: $i,SV211: $i,SV159: $i,SV99: $i,SV39: $i] :
      ( ( ( coll @ SV39 @ SV99 @ SV159 )
        = $true )
      | ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
              | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[947]) ).

thf(972,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                    | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
              | ~ ( coll @ SV160 @ SV40 @ SV100 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[948]) ).

thf(973,plain,
    ! [SV101: $i,SV41: $i,SV252: $i,SV213: $i,SV161: $i,SV274: $i] :
      ( ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                    | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
              | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[949]) ).

thf(974,plain,
    ! [SV165: $i,SV217: $i,SV45: $i,SV105: $i] :
      ( ( ( ~ ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) ) )
        = $false )
      | ( ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
        = $false )
      | ( ( cong @ SV165 @ SV45 @ SV165 @ SV105 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[950]) ).

thf(975,plain,
    ! [SV165: $i,SV217: $i,SV45: $i,SV105: $i] :
      ( ( ( ~ ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 ) )
        = $false )
      | ( ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
        = $false )
      | ( ( cong @ SV165 @ SV45 @ SV165 @ SV105 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[950]) ).

thf(976,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
          | ~ ( coll @ SV255 @ SV106 @ SV218 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[951]) ).

thf(977,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ( ~ ( perp @ SV51 @ SV111 @ SV51 @ SV171 ) )
        = $true )
      | ( ( ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
        = $true )
      | ( ( ~ ( midp @ SV256 @ SV111 @ SV222 ) )
        = $true )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[952]) ).

thf(978,plain,
    ! [SV257: $i,SV223: $i,SV172: $i,SV112: $i,SV52: $i] :
      ( ( ( eqangle @ SV52 @ SV112 @ SV52 @ SV172 @ SV223 @ SV112 @ SV223 @ SV257 )
        = $false )
      | ( ( circle @ SV223 @ SV52 @ SV112 @ SV172 )
        = $false )
      | ( ( coll @ SV257 @ SV112 @ SV172 )
        = $false )
      | ( ( midp @ SV257 @ SV112 @ SV172 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(979,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
          | ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
        = $true )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[955]) ).

thf(980,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                      | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
                | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) ) )
        = $true )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[956]) ).

thf(981,plain,
    ! [SV124: $i,SV4: $i,SV184: $i,SV64: $i] :
      ( ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                          | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                    | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
              | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[958]) ).

thf(982,plain,
    ! [SV299: $i,SV298: $i,SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ( ~ ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SV298 @ SV299 ) )
        = $true )
      | ( ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SV298 @ SV299 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[959]) ).

thf(983,plain,
    ! [SV7: $i,SV127: $i,SV67: $i,SV187: $i,SV235: $i] :
      ( ( ( ~ ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 ) )
        = $false )
      | ( ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
        = $false )
      | ( ( coll @ SV67 @ SV187 @ SV235 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[960]) ).

thf(984,plain,
    ! [SV7: $i,SV127: $i,SV67: $i,SV187: $i,SV235: $i] :
      ( ( ( ~ ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 ) )
        = $false )
      | ( ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
        = $false )
      | ( ( coll @ SV67 @ SV187 @ SV235 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[960]) ).

thf(985,plain,
    ! [SV129: $i,SV188: $i,SV9: $i,SV69: $i] :
      ( ( ( coll @ SV69 @ SV9 @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) )
        = $true )
      | ( ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
        = $false )
      | ( ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[961]) ).

thf(986,plain,
    ! [SV129: $i,SV9: $i,SV69: $i,SV188: $i] :
      ( ( ( coll @ ( sK13_SY984 @ SV188 @ SV69 @ SV9 @ SV129 ) @ SV129 @ SV188 )
        = $true )
      | ( ( cong @ SV129 @ SV9 @ SV129 @ SV69 )
        = $false )
      | ( ( eqangle @ SV9 @ SV129 @ SV129 @ SV188 @ SV129 @ SV188 @ SV129 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[962]) ).

thf(987,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( ~ ( coll @ SV21 @ SV81 @ SV141 ) )
        = $false )
      | ( ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
        = $false )
      | ( ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 )
        = $false )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[965]) ).

thf(988,plain,
    ! [SV148: $i,SV202: $i,SV28: $i,SV88: $i] :
      ( ( ( coll @ SV88 @ SV28 @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) )
        = $true )
      | ( ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
        = $false )
      | ( ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[966]) ).

thf(989,plain,
    ! [SV148: $i,SV202: $i,SV28: $i,SV88: $i] :
      ( ( ( coll @ ( sK14_SY1005 @ SV88 @ SV28 @ SV202 @ SV148 ) @ SV148 @ SV202 )
        = $true )
      | ( ( perp @ SV148 @ SV202 @ SV28 @ SV88 )
        = $false )
      | ( ( eqangle @ SV28 @ SV148 @ SV148 @ SV202 @ SV148 @ SV202 @ SV148 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[967]) ).

thf(990,plain,
    ! [SV151: $i,SV91: $i,SV31: $i,SV205: $i] :
      ( ( ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV31 @ SV91 )
        = $true )
      | ( ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
        = $false )
      | ( ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[968]) ).

thf(991,plain,
    ! [SV151: $i,SV91: $i,SV31: $i,SV205: $i] :
      ( ( ( coll @ ( sK16_SY1009 @ SV205 @ SV31 @ SV91 @ SV151 ) @ SV151 @ SV205 )
        = $true )
      | ( ( perp @ SV151 @ SV91 @ SV91 @ SV31 )
        = $false )
      | ( ( eqangle @ SV205 @ SV151 @ SV91 @ SV151 @ SV91 @ SV151 @ SV31 @ SV151 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[969]) ).

thf(992,plain,
    ! [SV211: $i,SV250: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
          | ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) )
        = $false )
      | ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
        = $false )
      | ( ( coll @ SV39 @ SV99 @ SV159 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[971]) ).

thf(993,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
          | ~ ( coll @ SV160 @ SV40 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[972]) ).

thf(994,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
          | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) )
        = $false )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[973]) ).

thf(995,plain,
    ! [SV165: $i,SV217: $i,SV45: $i,SV105: $i] :
      ( ( ( coll @ SV105 @ SV45 @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) )
        = $true )
      | ( ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
        = $false )
      | ( ( cong @ SV165 @ SV45 @ SV165 @ SV105 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[974]) ).

thf(996,plain,
    ! [SV165: $i,SV217: $i,SV45: $i,SV105: $i] :
      ( ( ( coll @ ( sK17_SY1029 @ SV105 @ SV45 @ SV217 @ SV165 ) @ SV165 @ SV217 )
        = $true )
      | ( ( perp @ SV165 @ SV217 @ SV45 @ SV105 )
        = $false )
      | ( ( cong @ SV165 @ SV45 @ SV165 @ SV105 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[975]) ).

thf(997,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
                | ~ ( coll @ SV255 @ SV46 @ SV166 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV255 @ SV106 @ SV218 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[976]) ).

thf(998,plain,
    ! [SV256: $i,SV222: $i,SV171: $i,SV111: $i,SV51: $i] :
      ( ( ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
        = $false )
      | ( ( ~ ( perp @ SV171 @ SV51 @ SV171 @ SV222 ) )
        = $true )
      | ( ( ~ ( midp @ SV256 @ SV111 @ SV222 ) )
        = $true )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[977]) ).

thf(999,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
                | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) ) )
        = $true )
      | ( ( ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
        = $true )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[979]) ).

thf(1000,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                    | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
              | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) ) )
        = $false )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[980]) ).

thf(1001,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                      | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
          | ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[981]) ).

thf(1002,plain,
    ! [SV299: $i,SV298: $i,SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i,SV186: $i,SV126: $i,SV66: $i,SV6: $i] :
      ( ( ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
        = $false )
      | ( ( ~ ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SV298 @ SV299 ) )
        = $true )
      | ( ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SV298 @ SV299 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[982]) ).

thf(1003,plain,
    ! [SV7: $i,SV127: $i,SV67: $i,SV187: $i,SV235: $i] :
      ( ( ( coll @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV187 @ SV235 )
        = $true )
      | ( ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
        = $false )
      | ( ( coll @ SV67 @ SV187 @ SV235 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[983]) ).

thf(1004,plain,
    ! [SV7: $i,SV127: $i,SV67: $i,SV187: $i,SV235: $i] :
      ( ( ( perp @ ( sK19_SY1062 @ SV235 @ SV187 @ SV67 @ SV127 @ SV7 ) @ SV7 @ SV187 @ SV235 )
        = $true )
      | ( ( perp @ SV7 @ SV127 @ SV127 @ SV67 )
        = $false )
      | ( ( coll @ SV67 @ SV187 @ SV235 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[984]) ).

thf(1005,plain,
    ! [SV268: $i,SV244: $i,SV198: $i,SV141: $i,SV81: $i,SV21: $i] :
      ( ( ( coll @ SV21 @ SV81 @ SV141 )
        = $true )
      | ( ( eqangle @ SV21 @ SV81 @ SV81 @ SV141 @ SV198 @ SV244 @ SV244 @ SV268 )
        = $false )
      | ( ( eqangle @ SV21 @ SV141 @ SV81 @ SV141 @ SV198 @ SV268 @ SV244 @ SV268 )
        = $false )
      | ( ( simtri @ SV21 @ SV81 @ SV141 @ SV198 @ SV244 @ SV268 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[987]) ).

thf(1006,plain,
    ! [SV211: $i,SV250: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ( ~ ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) )
        = $false )
      | ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
        = $false )
      | ( ( coll @ SV39 @ SV99 @ SV159 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[992]) ).

thf(1007,plain,
    ! [SV39: $i,SV250: $i,SV159: $i,SV99: $i,SV211: $i] :
      ( ( ( ~ ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) ) )
        = $false )
      | ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
        = $false )
      | ( ( coll @ SV39 @ SV99 @ SV159 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[992]) ).

thf(1008,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
                | ~ ( midp @ SV273 @ SV160 @ SV212 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV40 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[993]) ).

thf(1009,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
                | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) ) )
        = $false )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[994]) ).

thf(1010,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 ) )
        = $false )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[994]) ).

thf(1011,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
              | ~ ( coll @ SV255 @ SV46 @ SV166 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV255 @ SV106 @ SV218 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[997]) ).

thf(1012,plain,
    ! [SV256: $i,SV111: $i,SV222: $i,SV51: $i,SV171: $i] :
      ( ( ( perp @ SV171 @ SV51 @ SV171 @ SV222 )
        = $false )
      | ( ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
        = $false )
      | ( ( ~ ( midp @ SV256 @ SV111 @ SV222 ) )
        = $true )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1013,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ( ~ ( midp @ SV280 @ SV1 @ SV61 )
              | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) ) )
        = $false )
      | ( ( ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
        = $true )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[999]) ).

thf(1014,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
          | ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
        = $true )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1000]) ).

thf(1015,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                      | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
                | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1001]) ).

thf(1016,plain,
    ! [SV4: $i,SV184: $i,SV124: $i,SV64: $i] :
      ( ( ( ~ ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1001]) ).

thf(1017,plain,
    ! [SV186: $i,SV126: $i,SV66: $i,SV6: $i,SV299: $i,SV298: $i,SV297: $i,SV296: $i,SV289: $i,SV281: $i,SV263: $i,SV234: $i] :
      ( ( ( eqangle @ SV234 @ SV263 @ SV281 @ SV289 @ SV296 @ SV297 @ SV298 @ SV299 )
        = $false )
      | ( ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV234 @ SV263 @ SV281 @ SV289 )
        = $false )
      | ( ( eqangle @ SV6 @ SV66 @ SV126 @ SV186 @ SV296 @ SV297 @ SV298 @ SV299 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1018,plain,
    ! [SV211: $i,SV250: $i,SV99: $i,SV159: $i,SV39: $i] :
      ( ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) @ SV99 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
        = $true )
      | ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
        = $false )
      | ( ( coll @ SV39 @ SV99 @ SV159 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1006]) ).

thf(1019,plain,
    ! [SV39: $i,SV250: $i,SV159: $i,SV99: $i,SV211: $i] :
      ( ( ( cyclic @ SV211 @ SV99 @ SV159 @ ( sK20_SY1078 @ SV250 @ SV211 @ SV99 @ SV159 @ SV39 ) )
        = $true )
      | ( ( eqangle @ SV39 @ SV159 @ SV99 @ SV159 @ SV39 @ SV211 @ SV99 @ SV250 )
        = $false )
      | ( ( coll @ SV39 @ SV99 @ SV159 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1007]) ).

thf(1020,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ( ~ ( midp @ SV251 @ SV40 @ SV100 )
              | ~ ( midp @ SV273 @ SV160 @ SV212 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV160 @ SV40 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1008]) ).

thf(1021,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( ~ ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
              | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) ) )
        = $true )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1009]) ).

thf(1022,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV274 @ SV41 @ SV161 )
        = $true )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1010]) ).

thf(1023,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 )
          | ~ ( coll @ SV255 @ SV46 @ SV166 ) )
        = $true )
      | ( ( ~ ( coll @ SV255 @ SV106 @ SV218 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1011]) ).

thf(1024,plain,
    ! [SV171: $i,SV51: $i,SV222: $i,SV111: $i,SV256: $i] :
      ( ( ( midp @ SV256 @ SV111 @ SV222 )
        = $false )
      | ( ( perp @ SV51 @ SV111 @ SV51 @ SV171 )
        = $false )
      | ( ( perp @ SV171 @ SV51 @ SV171 @ SV222 )
        = $false )
      | ( ( midp @ ( sK21_SY1087 @ SV256 @ SV222 @ SV171 @ SV111 @ SV51 ) @ SV51 @ SV171 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1012]) ).

thf(1025,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ( midp @ SV280 @ SV1 @ SV61 )
          | ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
        = $true )
      | ( ( ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
        = $true )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1013]) ).

thf(1026,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
                | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) ) )
        = $true )
      | ( ( ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
        = $true )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1014]) ).

thf(1027,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                    | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
              | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) ) )
        = $true )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1015]) ).

thf(1028,plain,
    ! [SV4: $i,SV184: $i,SV124: $i,SV64: $i] :
      ( ( ( perp @ SV64 @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 )
        = $true )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1016]) ).

thf(1029,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ( midp @ SV251 @ SV40 @ SV100 )
          | ~ ( midp @ SV273 @ SV160 @ SV212 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV40 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1020]) ).

thf(1030,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
          | ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
        = $false )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1021]) ).

thf(1031,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( ~ ( para @ SV46 @ SV106 @ SV166 @ SV218 ) )
        = $true )
      | ( ( ~ ( coll @ SV255 @ SV46 @ SV166 ) )
        = $true )
      | ( ( ~ ( coll @ SV255 @ SV106 @ SV218 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1023]) ).

thf(1032,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( ~ ( midp @ SV280 @ SV1 @ SV61 ) )
        = $true )
      | ( ( ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
        = $true )
      | ( ( ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
        = $true )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1025]) ).

thf(1033,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
              | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) ) )
        = $false )
      | ( ( ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
        = $true )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1026]) ).

thf(1034,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
          | ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1027]) ).

thf(1035,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( ~ ( midp @ SV251 @ SV40 @ SV100 ) )
        = $true )
      | ( ( ~ ( midp @ SV273 @ SV160 @ SV212 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV40 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1029]) ).

thf(1036,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( ~ ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 ) )
        = $false )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1030]) ).

thf(1037,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( ~ ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 ) )
        = $false )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1030]) ).

thf(1038,plain,
    ! [SV276: $i,SV255: $i,SV218: $i,SV166: $i,SV106: $i,SV46: $i] :
      ( ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( ~ ( coll @ SV255 @ SV46 @ SV166 ) )
        = $true )
      | ( ( ~ ( coll @ SV255 @ SV106 @ SV218 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1031]) ).

thf(1039,plain,
    ! [SV231: $i,SV261: $i,SV181: $i,SV61: $i,SV1: $i,SV280: $i] :
      ( ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( ~ ( para @ SV1 @ SV181 @ SV261 @ SV280 ) )
        = $true )
      | ( ( ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
        = $true )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1032]) ).

thf(1040,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
          | ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
        = $true )
      | ( ( ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
        = $true )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1033]) ).

thf(1041,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
                | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1034]) ).

thf(1042,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1034]) ).

thf(1043,plain,
    ! [SV285: $i,SV212: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV251: $i] :
      ( ( ( midp @ SV251 @ SV40 @ SV100 )
        = $false )
      | ( ( ~ ( midp @ SV273 @ SV160 @ SV212 ) )
        = $true )
      | ( ( ~ ( coll @ SV160 @ SV40 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1035]) ).

thf(1044,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( midp @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV41 @ SV213 )
        = $true )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1036]) ).

thf(1045,plain,
    ! [SV252: $i,SV41: $i,SV101: $i,SV274: $i,SV161: $i,SV213: $i] :
      ( ( ( para @ ( sK23_SY1116 @ SV213 @ SV161 @ SV274 @ SV101 @ SV41 @ SV252 ) @ SV252 @ SV101 @ SV213 )
        = $true )
      | ( ( midp @ SV252 @ SV41 @ SV101 )
        = $false )
      | ( ( midp @ SV274 @ SV161 @ SV213 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1037]) ).

thf(1046,plain,
    ! [SV276: $i,SV218: $i,SV106: $i,SV166: $i,SV46: $i,SV255: $i] :
      ( ( ( coll @ SV255 @ SV46 @ SV166 )
        = $false )
      | ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( ~ ( coll @ SV255 @ SV106 @ SV218 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1038]) ).

thf(1047,plain,
    ! [SV231: $i,SV61: $i,SV280: $i,SV261: $i,SV181: $i,SV1: $i] :
      ( ( ( para @ SV1 @ SV181 @ SV261 @ SV280 )
        = $false )
      | ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( ~ ( para @ SV1 @ SV181 @ SV61 @ SV231 ) )
        = $true )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1039]) ).

thf(1048,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( ~ ( circle @ SV232 @ SV2 @ SV62 @ SV122 ) )
        = $true )
      | ( ( ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
        = $true )
      | ( ( ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
        = $true )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1040]) ).

thf(1049,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
              | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) ) )
        = $true )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1041]) ).

thf(1050,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( coll @ ( sK26_SY1101 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV4 )
        = $true )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1042]) ).

thf(1051,plain,
    ! [SV285: $i,SV100: $i,SV40: $i,SV251: $i,SV212: $i,SV160: $i,SV273: $i] :
      ( ( ( midp @ SV273 @ SV160 @ SV212 )
        = $false )
      | ( ( midp @ SV251 @ SV40 @ SV100 )
        = $false )
      | ( ( ~ ( coll @ SV160 @ SV40 @ SV100 ) )
        = $true )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1043]) ).

thf(1052,plain,
    ! [SV276: $i,SV166: $i,SV46: $i,SV218: $i,SV106: $i,SV255: $i] :
      ( ( ( coll @ SV255 @ SV106 @ SV218 )
        = $false )
      | ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( coll @ SV255 @ SV46 @ SV166 )
        = $false )
      | ( ( ~ ( coll @ SV276 @ SV46 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1046]) ).

thf(1053,plain,
    ! [SV261: $i,SV280: $i,SV231: $i,SV61: $i,SV181: $i,SV1: $i] :
      ( ( ( para @ SV1 @ SV181 @ SV61 @ SV231 )
        = $false )
      | ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV261 @ SV280 )
        = $false )
      | ( ( ~ ( coll @ SV181 @ SV231 @ SV261 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1047]) ).

thf(1054,plain,
    ! [SV262: $i,SV182: $i,SV122: $i,SV62: $i,SV2: $i,SV232: $i] :
      ( ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( ~ ( cong @ SV232 @ SV2 @ SV232 @ SV182 ) )
        = $true )
      | ( ( ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
        = $true )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1048]) ).

thf(1055,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
          | ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1049]) ).

thf(1056,plain,
    ! [SV285: $i,SV212: $i,SV273: $i,SV251: $i,SV100: $i,SV40: $i,SV160: $i] :
      ( ( ( coll @ SV160 @ SV40 @ SV100 )
        = $false )
      | ( ( midp @ SV251 @ SV40 @ SV100 )
        = $false )
      | ( ( midp @ SV273 @ SV160 @ SV212 )
        = $false )
      | ( ( ~ ( coll @ SV212 @ SV40 @ SV100 ) )
        = $true )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1051]) ).

thf(1057,plain,
    ! [SV218: $i,SV166: $i,SV255: $i,SV106: $i,SV46: $i,SV276: $i] :
      ( ( ( coll @ SV276 @ SV46 @ SV106 )
        = $false )
      | ( ( coll @ SV255 @ SV46 @ SV166 )
        = $false )
      | ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( coll @ SV255 @ SV106 @ SV218 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
              | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1052]) ).

thf(1058,plain,
    ! [SV61: $i,SV280: $i,SV1: $i,SV261: $i,SV231: $i,SV181: $i] :
      ( ( ( coll @ SV181 @ SV231 @ SV261 )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV261 @ SV280 )
        = $false )
      | ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV61 @ SV231 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
              | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1053]) ).

thf(1059,plain,
    ! [SV262: $i,SV122: $i,SV62: $i,SV182: $i,SV2: $i,SV232: $i] :
      ( ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( ~ ( cong @ SV262 @ SV2 @ SV262 @ SV62 ) )
        = $true )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1054]) ).

thf(1060,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( ~ ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1055]) ).

thf(1061,plain,
    ! [SV184: $i,SV64: $i,SV124: $i,SV4: $i] :
      ( ( ( ~ ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 ) )
        = $false )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1055]) ).

thf(1062,plain,
    ! [SV285: $i,SV251: $i,SV160: $i,SV273: $i,SV100: $i,SV40: $i,SV212: $i] :
      ( ( ( coll @ SV212 @ SV40 @ SV100 )
        = $false )
      | ( ( midp @ SV273 @ SV160 @ SV212 )
        = $false )
      | ( ( midp @ SV251 @ SV40 @ SV100 )
        = $false )
      | ( ( coll @ SV160 @ SV40 @ SV100 )
        = $false )
      | ( ( midp @ ( sK27_SY1133 @ SV285 @ SV212 @ SV160 @ SV273 @ SV100 @ SV40 @ SV251 ) @ SV40 @ SV285 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1056]) ).

thf(1063,plain,
    ! [SV46: $i,SV106: $i,SV166: $i,SV218: $i,SV276: $i,SV255: $i] :
      ( ( ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
          | ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) )
        = $false )
      | ( ( coll @ SV255 @ SV106 @ SV218 )
        = $false )
      | ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( coll @ SV255 @ SV46 @ SV166 )
        = $false )
      | ( ( coll @ SV276 @ SV46 @ SV106 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1057]) ).

thf(1064,plain,
    ! [SV280: $i,SV1: $i,SV61: $i,SV181: $i,SV261: $i,SV231: $i] :
      ( ( ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
          | ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV61 @ SV231 )
        = $false )
      | ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV261 @ SV280 )
        = $false )
      | ( ( coll @ SV181 @ SV231 @ SV261 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1058]) ).

thf(1065,plain,
    ! [SV182: $i,SV122: $i,SV232: $i,SV62: $i,SV2: $i,SV262: $i] :
      ( ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( ~ ( ( SV232 != SV262 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1059]) ).

thf(1066,plain,
    ! [SV4: $i,SV184: $i,SV64: $i,SV124: $i] :
      ( ( ( coll @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
        = $true )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1060]) ).

thf(1067,plain,
    ! [SV184: $i,SV64: $i,SV124: $i,SV4: $i] :
      ( ( ( perp @ SV4 @ ( sK12_SY972 @ SV124 @ SV64 @ SV184 @ SV4 ) @ SV124 @ SV64 )
        = $true )
      | ( ( perp @ SV4 @ SV184 @ SV64 @ SV124 )
        = $false )
      | ( ( perp @ SV64 @ SV184 @ SV4 @ SV124 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1061]) ).

thf(1068,plain,
    ! [SV46: $i,SV106: $i,SV166: $i,SV218: $i,SV276: $i,SV255: $i] :
      ( ( ( ~ ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) ) )
        = $false )
      | ( ( coll @ SV255 @ SV106 @ SV218 )
        = $false )
      | ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( coll @ SV255 @ SV46 @ SV166 )
        = $false )
      | ( ( coll @ SV276 @ SV46 @ SV106 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1063]) ).

thf(1069,plain,
    ! [SV46: $i,SV106: $i,SV166: $i,SV218: $i,SV255: $i,SV276: $i] :
      ( ( ( ~ ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 ) )
        = $false )
      | ( ( coll @ SV255 @ SV106 @ SV218 )
        = $false )
      | ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( coll @ SV255 @ SV46 @ SV166 )
        = $false )
      | ( ( coll @ SV276 @ SV46 @ SV106 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1063]) ).

thf(1070,plain,
    ! [SV280: $i,SV1: $i,SV61: $i,SV181: $i,SV261: $i,SV231: $i] :
      ( ( ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 ) )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV61 @ SV231 )
        = $false )
      | ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV261 @ SV280 )
        = $false )
      | ( ( coll @ SV181 @ SV231 @ SV261 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1064]) ).

thf(1071,plain,
    ! [SV280: $i,SV1: $i,SV61: $i,SV181: $i,SV261: $i,SV231: $i] :
      ( ( ( ~ ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 ) )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV61 @ SV231 )
        = $false )
      | ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV261 @ SV280 )
        = $false )
      | ( ( coll @ SV181 @ SV231 @ SV261 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1064]) ).

thf(1072,plain,
    ! [SV122: $i,SV62: $i,SV182: $i,SV2: $i,SV262: $i,SV232: $i] :
      ( ( ( SV232 != SV262 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1065]) ).

thf(1073,plain,
    ! [SV46: $i,SV106: $i,SV166: $i,SV218: $i,SV276: $i,SV255: $i] :
      ( ( ( coll @ SV255 @ SV276 @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) )
        = $true )
      | ( ( coll @ SV255 @ SV106 @ SV218 )
        = $false )
      | ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( coll @ SV255 @ SV46 @ SV166 )
        = $false )
      | ( ( coll @ SV276 @ SV46 @ SV106 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1068]) ).

thf(1074,plain,
    ! [SV46: $i,SV106: $i,SV166: $i,SV218: $i,SV255: $i,SV276: $i] :
      ( ( ( coll @ ( sK24_SY1117 @ SV276 @ SV255 @ SV218 @ SV166 @ SV106 @ SV46 ) @ SV166 @ SV218 )
        = $true )
      | ( ( coll @ SV255 @ SV106 @ SV218 )
        = $false )
      | ( ( para @ SV46 @ SV106 @ SV166 @ SV218 )
        = $false )
      | ( ( coll @ SV255 @ SV46 @ SV166 )
        = $false )
      | ( ( coll @ SV276 @ SV46 @ SV106 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1069]) ).

thf(1075,plain,
    ! [SV280: $i,SV1: $i,SV61: $i,SV181: $i,SV261: $i,SV231: $i] :
      ( ( ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV1 @ SV231 )
        = $true )
      | ( ( para @ SV1 @ SV181 @ SV61 @ SV231 )
        = $false )
      | ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV261 @ SV280 )
        = $false )
      | ( ( coll @ SV181 @ SV231 @ SV261 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1070]) ).

thf(1076,plain,
    ! [SV280: $i,SV1: $i,SV61: $i,SV181: $i,SV261: $i,SV231: $i] :
      ( ( ( coll @ ( sK25_SY1124 @ SV231 @ SV261 @ SV181 @ SV61 @ SV1 @ SV280 ) @ SV280 @ SV261 )
        = $true )
      | ( ( para @ SV1 @ SV181 @ SV61 @ SV231 )
        = $false )
      | ( ( midp @ SV280 @ SV1 @ SV61 )
        = $false )
      | ( ( para @ SV1 @ SV181 @ SV261 @ SV280 )
        = $false )
      | ( ( coll @ SV181 @ SV231 @ SV261 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1071]) ).

thf(1077,plain,
    ! [SV122: $i,SV62: $i,SV182: $i,SV2: $i,SV262: $i,SV232: $i] :
      ( ( ( SV232 = SV262 )
        = $true )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                    | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
              | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1072]) ).

thf(1078,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                      | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
          | ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1077]) ).

thf(1079,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                      | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
                | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1078]) ).

thf(1080,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1078]) ).

thf(1081,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                    | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
              | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) ) )
        = $true )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1079]) ).

thf(1082,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( cong @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 )
        = $true )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1080]) ).

thf(1083,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
          | ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1081]) ).

thf(1084,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
                | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1083]) ).

thf(1085,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1083]) ).

thf(1086,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
              | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) ) )
        = $true )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1084]) ).

thf(1087,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( coll @ ( sK28_SY1137 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV62 @ SV182 )
        = $true )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1085]) ).

thf(1088,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
          | ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1086]) ).

thf(1089,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1088]) ).

thf(1090,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( ~ ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 ) )
        = $false )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1088]) ).

thf(1091,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( coll @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV2 @ SV122 )
        = $true )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1089]) ).

thf(1092,plain,
    ! [SV232: $i,SV2: $i,SV62: $i,SV122: $i,SV182: $i,SV262: $i] :
      ( ( ( cong @ ( sK22_SY1099 @ SV262 @ SV182 @ SV122 @ SV62 @ SV2 @ SV232 ) @ SV262 @ SV262 @ SV2 )
        = $true )
      | ( ( cong @ SV262 @ SV2 @ SV262 @ SV62 )
        = $false )
      | ( ( circle @ SV232 @ SV2 @ SV62 @ SV122 )
        = $false )
      | ( ( cong @ SV232 @ SV2 @ SV232 @ SV182 )
        = $false )
      | ( ( SV232 = SV262 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1090]) ).

thf(1093,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[238,1092,1091,1087,1082,1076,1075,1074,1073,1067,1066,1062,1050,1045,1044,1028,1024,1022,1019,1018,1017,1005,1004,1003,996,995,991,990,989,988,986,985,978,970,964,963,957,954,940,922,901,899,896,885,881,878,866,865,863,862,857,852,850,848,847,841,836,835,828,827,826,820,816,798,772,747,721,720,660,649,638,601,595,585,579,573,571,555,307,245,244,243,242,241,240,239]) ).

thf(1094,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1093]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO598+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.19  % Computer : n014.cluster.edu
% 0.06/0.19  % Model    : x86_64 x86_64
% 0.06/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19  % Memory   : 8046.5625MB
% 0.06/0.19  % OS       : Linux 6.8.0-71-generic
% 0.06/0.19  % CPULimit : 300
% 0.06/0.19  % WCLimit  : 300
% 0.06/0.19  % DateTime : Tue Oct  6 10:18:41 UTC 2026
% 0.06/0.20  % CPUTime  : 
% 0.06/0.20  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 120.01/20.38  
% 120.01/20.38   No.of.Axioms: 60
% 120.01/20.38  
% 120.01/20.38   Length.of.Defs: 0
% 120.01/20.38  
% 120.01/20.38   Contains.Choice.Funs: false
% 120.01/20.38  ...............................................................
% 120.01/20.38  
% 120.01/20.38  ********************************
% 120.01/20.38  *   All subproblems solved!    *
% 120.01/20.38  ********************************
% 120.01/20.38  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:68,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:1093,loop_count:0,foatp_calls:1,translation:fof_full)
% 120.01/20.38  
% 120.01/20.38  %**** Beginning of derivation protocol ****
% 120.01/20.38  % SZS output start CNFRefutation
% See solution above
% 120.01/20.39  
% 120.01/20.39  %**** End of derivation protocol ****
% 120.01/20.39  %**** no. of clauses in derivation: 1060 ****
% 120.01/20.39  %**** clause counter: 1093 ****
% 120.01/20.39  
% 120.01/20.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:68,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:1093,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------