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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : GEO618+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 10:19:23 AM UTC 2026

% Result   : Theorem 242.11s 40.99s
% Output   : CNFRefutation 242.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   68
% Syntax   : Number of formulae    : 1173 ( 619 unt;   0 typ;   0 def)
%            Number of atoms       : 8271 (2091 equ;   0 cnn)
%            Maximal formula atoms :    8 (   7 avg)
%            Number of connectives : 28004 (4506   ~;2516   |; 282   &;20490   @)
%                                         (   0 <=>; 210  =>;   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     :   39 (  36 usr;   8 con; 0-8 aty)
%            Number of variables   : 6198 (   0   ^;6141   !;  57   ?;6198   :)

% 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_SY1060,type,
    sK10_SY1060: $i > $i > $i > $i > $i ).

thf(tp_sK11_SY1073,type,
    sK11_SY1073: $i > $i > $i > $i > $i ).

thf(tp_sK12_SY1107,type,
    sK12_SY1107: $i > $i > $i > $i > $i ).

thf(tp_sK13_SY1117,type,
    sK13_SY1117: $i > $i > $i > $i > $i ).

thf(tp_sK14_SY1118,type,
    sK14_SY1118: $i > $i > $i > $i > $i ).

thf(tp_sK15_SY1142,type,
    sK15_SY1142: $i > $i > $i > $i > $i > $i ).

thf(tp_sK16_SY1165,type,
    sK16_SY1165: $i > $i > $i > $i > $i > $i ).

thf(tp_sK17_SY1182,type,
    sK17_SY1182: $i > $i > $i > $i > $i > $i ).

thf(tp_sK18_SY1184,type,
    sK18_SY1184: $i > $i > $i > $i > $i > $i ).

thf(tp_sK19_SY1192,type,
    sK19_SY1192: $i > $i > $i > $i > $i > $i ).

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

thf(tp_sK20_SY1193,type,
    sK20_SY1193: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK21_SY1208,type,
    sK21_SY1208: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK22_SY1226,type,
    sK22_SY1226: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK23_SY1205,type,
    sK23_SY1205: $i > $i > $i > $i > $i ).

thf(tp_sK24_SY1228,type,
    sK24_SY1228: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK25_SY1235,type,
    sK25_SY1235: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK2_SY362,type,
    sK2_SY362: $i ).

thf(tp_sK3_SY367,type,
    sK3_SY367: $i ).

thf(tp_sK4_SY371,type,
    sK4_SY371: $i ).

thf(tp_sK5_SY374,type,
    sK5_SY374: $i ).

thf(tp_sK6_SY376,type,
    sK6_SY376: $i ).

thf(tp_sK7_SY973,type,
    sK7_SY973: $i > $i > $i > $i ).

thf(tp_sK8_SY1047,type,
    sK8_SY1047: $i > $i > $i > $i > $i ).

thf(tp_sK9_SY1050,type,
    sK9_SY1050: $i > $i > $i > $i > $i ).

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

thf(1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
    ? [R: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( coll @ P @ A @ C )
        & ( coll @ P @ B @ D )
        & ( coll @ Q @ A @ B ) )
     => ( ( coll @ P @ Q @ R )
        & ( coll @ R @ C @ D ) ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleX16) ).

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

thf(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/sandbox/benchmark/theBenchmark.p',ruleX14) ).

thf(6,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
    ? [O: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( para @ A @ B @ C @ D )
        & ( midp @ M @ A @ B ) )
     => ( circle @ O @ A @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX13) ).

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

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

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

thf(10,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
    ? [P: $i] :
      ( ( ( cong @ O @ C @ O @ D )
        & ( perp @ A @ B @ B @ O ) )
     => ( ( cong @ O @ C @ O @ P )
        & ( para @ P @ C @ A @ B )
        & ( cong @ B @ C @ B @ P ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX9) ).

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

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

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

thf(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleX3) ).

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

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

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

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

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

thf(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD71) ).

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

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

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

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

thf(29,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( coll @ O @ A @ C )
        & ( coll @ O @ B @ D ) )
     => ( eqratio @ O @ A @ A @ C @ O @ B @ B @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD65) ).

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

thf(33,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( simtri @ A @ B @ C @ P @ Q @ R )
        & ( cong @ A @ B @ P @ Q ) )
     => ( contri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD61) ).

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

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

thf(37,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q )
        & ( cyclic @ A @ B @ P @ Q ) )
     => ( perp @ P @ A @ A @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD57) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD55) ).

thf(40,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( para @ A @ B @ C @ D ) )
     => ( eqangle @ A @ D @ C @ D @ C @ D @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD54) ).

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

thf(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD51) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD3) ).

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

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

thf(95,conjecture,
    ! [A: $i,B: $i,C: $i,U: $i,O: $i,T: $i] :
      ( ( ( eqangle @ U @ A @ A @ C @ U @ A @ A @ B )
        & ( coll @ U @ B @ C )
        & ( circle @ O @ A @ B @ C )
        & ( perp @ A @ O @ A @ T )
        & ( coll @ T @ B @ C ) )
     => ( cong @ T @ A @ T @ U ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618080) ).

thf(96,negated_conjecture,
    ( ( ! [A: $i,B: $i,C: $i,U: $i,O: $i,T: $i] :
          ( ( ( eqangle @ U @ A @ A @ C @ U @ A @ A @ B )
            & ( coll @ U @ B @ C )
            & ( circle @ O @ A @ B @ C )
            & ( perp @ A @ O @ A @ T )
            & ( coll @ T @ B @ C ) )
         => ( cong @ T @ A @ T @ U ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[95]) ).

thf(97,plain,
    ( ( ! [A: $i,B: $i,C: $i,U: $i,O: $i,T: $i] :
          ( ( ( eqangle @ U @ A @ A @ C @ U @ A @ A @ B )
            & ( coll @ U @ B @ C )
            & ( circle @ O @ A @ B @ C )
            & ( perp @ A @ O @ A @ T )
            & ( coll @ T @ B @ C ) )
         => ( cong @ T @ A @ T @ U ) ) )
    = $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] :
        ? [O: $i] :
          ( ( ( cyclic @ A @ B @ C @ D )
            & ( para @ A @ B @ C @ D )
            & ( midp @ M @ A @ B ) )
         => ( circle @ O @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(104,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(105,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(106,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(107,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
        ? [P: $i] :
          ( ( ( cong @ O @ C @ O @ D )
            & ( perp @ A @ B @ B @ O ) )
         => ( ( cong @ O @ C @ O @ P )
            & ( para @ P @ C @ A @ B )
            & ( cong @ B @ C @ B @ P ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(108,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(109,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(110,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(111,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(112,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(113,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(114,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(115,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( cong @ P @ Q @ U @ V ) )
         => ( cong @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(116,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(117,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(118,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(119,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(120,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(121,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(122,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(123,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(124,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( coll @ O @ A @ C )
            & ( coll @ O @ B @ D ) )
         => ( eqratio @ O @ A @ A @ C @ O @ B @ B @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(125,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( contri @ A @ B @ C @ P @ Q @ R )
         => ( cong @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(126,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( simtri @ A @ B @ C @ P @ Q @ R )
            & ( cong @ A @ B @ P @ Q ) )
         => ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(127,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(128,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(129,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( cong @ A @ P @ B @ P )
            & ( cong @ A @ Q @ B @ Q )
            & ( cyclic @ A @ B @ P @ Q ) )
         => ( perp @ P @ A @ A @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(130,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(131,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(132,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( cyclic @ A @ B @ C @ D )
            & ( para @ A @ B @ C @ D ) )
         => ( eqangle @ A @ D @ C @ D @ C @ D @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(133,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(134,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(135,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(136,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(137,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(138,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(139,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(140,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(141,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(142,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( cyclic @ A @ B @ C @ P )
            & ( cyclic @ A @ B @ C @ Q )
            & ( cyclic @ A @ B @ C @ R )
            & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
         => ( cong @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(143,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(144,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(145,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(146,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(147,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(148,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( cong @ A @ B @ C @ D )
            & ( cong @ C @ D @ E @ F ) )
         => ( cong @ A @ B @ E @ F ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(149,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cong @ A @ B @ C @ D )
         => ( cong @ C @ D @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(150,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cong @ A @ B @ C @ D )
         => ( cong @ A @ B @ D @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(151,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(152,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(153,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(154,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(155,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(156,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( cong @ O @ A @ O @ C )
            & ( cong @ O @ A @ O @ D ) )
         => ( cyclic @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(157,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(158,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(159,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(160,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(161,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(162,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(163,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(164,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(165,plain,
    ( ( ! [SY362: $i,SY363: $i,SY364: $i,SY365: $i,SY366: $i] :
          ( ( ( eqangle @ SY364 @ sK1_A @ sK1_A @ SY363 @ SY364 @ sK1_A @ sK1_A @ SY362 )
            & ( coll @ SY364 @ SY362 @ SY363 )
            & ( circle @ SY365 @ sK1_A @ SY362 @ SY363 )
            & ( perp @ sK1_A @ SY365 @ sK1_A @ SY366 )
            & ( coll @ SY366 @ SY362 @ SY363 ) )
         => ( cong @ SY366 @ sK1_A @ SY366 @ SY364 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[97]) ).

thf(166,plain,
    ( ( ! [SY367: $i,SY368: $i,SY369: $i,SY370: $i] :
          ( ( ( eqangle @ SY368 @ sK1_A @ sK1_A @ SY367 @ SY368 @ sK1_A @ sK1_A @ sK2_SY362 )
            & ( coll @ SY368 @ sK2_SY362 @ SY367 )
            & ( circle @ SY369 @ sK1_A @ sK2_SY362 @ SY367 )
            & ( perp @ sK1_A @ SY369 @ sK1_A @ SY370 )
            & ( coll @ SY370 @ sK2_SY362 @ SY367 ) )
         => ( cong @ SY370 @ sK1_A @ SY370 @ SY368 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[165]) ).

thf(167,plain,
    ( ( ! [SY371: $i,SY372: $i,SY373: $i] :
          ( ( ( eqangle @ SY371 @ sK1_A @ sK1_A @ sK3_SY367 @ SY371 @ sK1_A @ sK1_A @ sK2_SY362 )
            & ( coll @ SY371 @ sK2_SY362 @ sK3_SY367 )
            & ( circle @ SY372 @ sK1_A @ sK2_SY362 @ sK3_SY367 )
            & ( perp @ sK1_A @ SY372 @ sK1_A @ SY373 )
            & ( coll @ SY373 @ sK2_SY362 @ sK3_SY367 ) )
         => ( cong @ SY373 @ sK1_A @ SY373 @ SY371 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[166]) ).

thf(168,plain,
    ( ( ! [SY374: $i,SY375: $i] :
          ( ( ( eqangle @ sK4_SY371 @ sK1_A @ sK1_A @ sK3_SY367 @ sK4_SY371 @ sK1_A @ sK1_A @ sK2_SY362 )
            & ( coll @ sK4_SY371 @ sK2_SY362 @ sK3_SY367 )
            & ( circle @ SY374 @ sK1_A @ sK2_SY362 @ sK3_SY367 )
            & ( perp @ sK1_A @ SY374 @ sK1_A @ SY375 )
            & ( coll @ SY375 @ sK2_SY362 @ sK3_SY367 ) )
         => ( cong @ SY375 @ sK1_A @ SY375 @ sK4_SY371 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[167]) ).

thf(169,plain,
    ( ( ! [SY376: $i] :
          ( ( ( eqangle @ sK4_SY371 @ sK1_A @ sK1_A @ sK3_SY367 @ sK4_SY371 @ sK1_A @ sK1_A @ sK2_SY362 )
            & ( coll @ sK4_SY371 @ sK2_SY362 @ sK3_SY367 )
            & ( circle @ sK5_SY374 @ sK1_A @ sK2_SY362 @ sK3_SY367 )
            & ( perp @ sK1_A @ sK5_SY374 @ sK1_A @ SY376 )
            & ( coll @ SY376 @ sK2_SY362 @ sK3_SY367 ) )
         => ( cong @ SY376 @ sK1_A @ SY376 @ sK4_SY371 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[168]) ).

thf(170,plain,
    ( ( ( ( eqangle @ sK4_SY371 @ sK1_A @ sK1_A @ sK3_SY367 @ sK4_SY371 @ sK1_A @ sK1_A @ sK2_SY362 )
        & ( coll @ sK4_SY371 @ sK2_SY362 @ sK3_SY367 )
        & ( circle @ sK5_SY374 @ sK1_A @ sK2_SY362 @ sK3_SY367 )
        & ( perp @ sK1_A @ sK5_SY374 @ sK1_A @ sK6_SY376 )
        & ( coll @ sK6_SY376 @ sK2_SY362 @ sK3_SY367 ) )
     => ( cong @ sK6_SY376 @ sK1_A @ sK6_SY376 @ sK4_SY371 ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[169]) ).

thf(171,plain,
    ( ( eqangle @ sK4_SY371 @ sK1_A @ sK1_A @ sK3_SY367 @ sK4_SY371 @ sK1_A @ sK1_A @ sK2_SY362 )
    = $true ),
    inference(standard_cnf,[status(thm)],[170]) ).

thf(172,plain,
    ( ( coll @ sK4_SY371 @ sK2_SY362 @ sK3_SY367 )
    = $true ),
    inference(standard_cnf,[status(thm)],[170]) ).

thf(173,plain,
    ( ( circle @ sK5_SY374 @ sK1_A @ sK2_SY362 @ sK3_SY367 )
    = $true ),
    inference(standard_cnf,[status(thm)],[170]) ).

thf(174,plain,
    ( ( perp @ sK1_A @ sK5_SY374 @ sK1_A @ sK6_SY376 )
    = $true ),
    inference(standard_cnf,[status(thm)],[170]) ).

thf(175,plain,
    ( ( coll @ sK6_SY376 @ sK2_SY362 @ sK3_SY367 )
    = $true ),
    inference(standard_cnf,[status(thm)],[170]) ).

thf(176,plain,
    ( ( cong @ sK6_SY376 @ sK1_A @ sK6_SY376 @ sK4_SY371 )
    = $false ),
    inference(standard_cnf,[status(thm)],[170]) ).

thf(177,plain,
    ( ( ~ ( cong @ sK6_SY376 @ sK1_A @ sK6_SY376 @ sK4_SY371 ) )
    = $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)],[164]) ).

thf(179,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[163]) ).

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)],[162]) ).

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)],[161]) ).

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)],[160]) ).

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)],[159]) ).

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)],[158]) ).

thf(185,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)],[157]) ).

thf(186,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ( ( cong @ O @ A @ O @ B )
            & ( cong @ O @ A @ O @ C )
            & ( cong @ O @ A @ O @ D ) )
         => ( cyclic @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[156]) ).

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)],[155]) ).

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)],[154]) ).

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)],[153]) ).

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)],[152]) ).

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)],[151]) ).

thf(192,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cong @ A @ B @ C @ D )
         => ( cong @ A @ B @ D @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[150]) ).

thf(193,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cong @ A @ B @ C @ D )
         => ( cong @ C @ D @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[149]) ).

thf(194,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( cong @ A @ B @ C @ D )
            & ( cong @ C @ D @ E @ F ) )
         => ( cong @ A @ B @ E @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[148]) ).

thf(195,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)],[147]) ).

thf(196,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)],[146]) ).

thf(197,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)],[145]) ).

thf(198,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)],[144]) ).

thf(199,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)],[143]) ).

thf(200,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( cyclic @ A @ B @ C @ P )
            & ( cyclic @ A @ B @ C @ Q )
            & ( cyclic @ A @ B @ C @ R )
            & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
         => ( cong @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[142]) ).

thf(201,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)],[141]) ).

thf(202,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)],[140]) ).

thf(203,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)],[139]) ).

thf(204,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)],[138]) ).

thf(205,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)],[137]) ).

thf(206,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)],[136]) ).

thf(207,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)],[135]) ).

thf(208,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)],[134]) ).

thf(209,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)],[133]) ).

thf(210,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( ( cyclic @ A @ B @ C @ D )
            & ( para @ A @ B @ C @ D ) )
         => ( eqangle @ A @ D @ C @ D @ C @ D @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(211,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)],[131]) ).

thf(212,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)],[130]) ).

thf(213,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ( ( cong @ A @ P @ B @ P )
            & ( cong @ A @ Q @ B @ Q )
            & ( cyclic @ A @ B @ P @ Q ) )
         => ( perp @ P @ A @ A @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(214,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)],[128]) ).

thf(215,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)],[127]) ).

thf(216,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( ( simtri @ A @ B @ C @ P @ Q @ R )
            & ( cong @ A @ B @ P @ Q ) )
         => ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[126]) ).

thf(217,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( contri @ A @ B @ C @ P @ Q @ R )
         => ( cong @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(218,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( coll @ O @ A @ C )
            & ( coll @ O @ B @ D ) )
         => ( eqratio @ O @ A @ A @ C @ O @ B @ B @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[124]) ).

thf(219,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(220,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)],[122]) ).

thf(221,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(222,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(223,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)],[119]) ).

thf(224,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)],[118]) ).

thf(225,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)],[117]) ).

thf(226,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)],[116]) ).

thf(227,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( cong @ P @ Q @ U @ V ) )
         => ( cong @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(228,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)],[114]) ).

thf(229,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)],[113]) ).

thf(230,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)],[112]) ).

thf(231,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)],[111]) ).

thf(232,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)],[110]) ).

thf(233,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)],[109]) ).

thf(234,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)],[108]) ).

thf(235,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
        ? [P: $i] :
          ( ( ( cong @ O @ C @ O @ D )
            & ( perp @ A @ B @ B @ O ) )
         => ( ( cong @ O @ C @ O @ P )
            & ( para @ P @ C @ A @ B )
            & ( cong @ B @ C @ B @ P ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(236,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)],[106]) ).

thf(237,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)],[105]) ).

thf(238,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)],[104]) ).

thf(239,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
        ? [O: $i] :
          ( ( ( cyclic @ A @ B @ C @ D )
            & ( para @ A @ B @ C @ D )
            & ( midp @ M @ A @ B ) )
         => ( circle @ O @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(240,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(241,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(242,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(243,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(244,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(245,plain,
    ( ( coll @ sK6_SY376 @ sK2_SY362 @ sK3_SY367 )
    = $true ),
    inference(copy,[status(thm)],[175]) ).

thf(246,plain,
    ( ( perp @ sK1_A @ sK5_SY374 @ sK1_A @ sK6_SY376 )
    = $true ),
    inference(copy,[status(thm)],[174]) ).

thf(247,plain,
    ( ( circle @ sK5_SY374 @ sK1_A @ sK2_SY362 @ sK3_SY367 )
    = $true ),
    inference(copy,[status(thm)],[173]) ).

thf(248,plain,
    ( ( coll @ sK4_SY371 @ sK2_SY362 @ sK3_SY367 )
    = $true ),
    inference(copy,[status(thm)],[172]) ).

thf(249,plain,
    ( ( eqangle @ sK4_SY371 @ sK1_A @ sK1_A @ sK3_SY367 @ sK4_SY371 @ sK1_A @ sK1_A @ sK2_SY362 )
    = $true ),
    inference(copy,[status(thm)],[171]) ).

thf(250,plain,
    ( ( ~ ( cong @ sK6_SY376 @ sK1_A @ sK6_SY376 @ sK4_SY371 ) )
    = $true ),
    inference(copy,[status(thm)],[177]) ).

thf(251,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)],[238]) ).

thf(252,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)],[229]) ).

thf(253,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ! [SX5: $i] :
              ~ ( ~ ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ SX3 @ SX1 @ SX4 )
                      | ~ ~ ( coll @ SX0 @ SX1 @ SX2 ) )
                | ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ SX5 @ SX1 @ SX5 )
                    | ~ ( cyclic @ SX3 @ SX1 @ SX2 @ SX5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[232]) ).

thf(254,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)],[198]) ).

thf(255,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)],[230]) ).

thf(256,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
                      | ~ ( coll @ SX4 @ SX0 @ SX2 ) )
                | ~ ( coll @ SX4 @ SX1 @ SX3 ) )
          | ( eqratio @ SX4 @ SX0 @ SX0 @ SX2 @ SX4 @ SX1 @ SX1 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[218]) ).

thf(257,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(258,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)],[240]) ).

thf(259,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)],[234]) ).

thf(260,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(261,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)],[223]) ).

thf(262,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)],[196]) ).

thf(263,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( cong @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( cong @ SX2 @ SX3 @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(264,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 ) )
          | ( eqangle @ SX0 @ SX3 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(265,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)],[220]) ).

thf(266,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)],[202]) ).

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)],[214]) ).

thf(268,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)],[197]) ).

thf(269,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
          | ( eqangle @ SX0 @ SX1 @ SX4 @ SX5 @ SX2 @ SX3 @ SX6 @ SX7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(270,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)],[236]) ).

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)],[203]) ).

thf(272,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)],[201]) ).

thf(273,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)],[209]) ).

thf(274,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ( contri @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
          | ( cong @ SX0 @ SX1 @ SX3 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[217]) ).

thf(275,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)],[206]) ).

thf(276,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)],[185]) ).

thf(277,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 )
                            | ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX4 ) )
                      | ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX5 ) )
                | ~ ( eqangle @ SX2 @ SX0 @ SX2 @ SX1 @ SX5 @ SX3 @ SX5 @ SX4 ) )
          | ( cong @ SX0 @ SX1 @ SX3 @ SX4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(278,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( coll @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(279,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)],[207]) ).

thf(280,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)],[224]) ).

thf(281,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)],[233]) ).

thf(282,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(283,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(284,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)],[215]) ).

thf(285,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)],[241]) ).

thf(286,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(287,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)],[212]) ).

thf(288,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ( cong @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( cong @ SX2 @ SX3 @ SX4 @ SX5 ) )
          | ( cong @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(289,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)],[243]) ).

thf(290,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)],[244]) ).

thf(291,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(292,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)],[208]) ).

thf(293,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)],[199]) ).

thf(294,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)],[226]) ).

thf(295,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)],[228]) ).

thf(296,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
          ( ~ ~ ( ~ ( eqratio @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
                | ~ ( cong @ SX4 @ SX5 @ SX6 @ SX7 ) )
          | ( cong @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[227]) ).

thf(297,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)],[211]) ).

thf(298,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( cong @ SX0 @ SX1 @ SX2 @ SX3 )
          | ( cong @ SX0 @ SX1 @ SX3 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(299,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( cong @ SX4 @ SX0 @ SX4 @ SX1 )
                      | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX2 ) )
                | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX3 ) )
          | ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(300,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)],[225]) ).

thf(301,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)],[237]) ).

thf(302,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(303,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( cong @ SX0 @ SX2 @ SX1 @ SX2 )
                      | ~ ( cong @ SX0 @ SX3 @ SX1 @ SX3 ) )
                | ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) )
          | ( perp @ SX2 @ SX0 @ SX0 @ SX3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[213]) ).

thf(304,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)],[231]) ).

thf(305,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)],[242]) ).

thf(306,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)],[195]) ).

thf(307,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ! [SX5: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SX4 @ SX2 @ SX4 @ SX3 )
                      | ~ ( perp @ SX0 @ SX1 @ SX1 @ SX4 ) )
                | ~ ( ~ ~ ( ~ ( cong @ SX4 @ SX2 @ SX4 @ SX5 )
                          | ~ ( para @ SX5 @ SX2 @ SX0 @ SX1 ) )
                    | ~ ( cong @ SX1 @ SX2 @ SX1 @ SX5 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[235]) ).

thf(308,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)],[204]) ).

thf(309,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)],[205]) ).

thf(310,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ( ~ ~ ( ~ ( simtri @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
                | ~ ( cong @ SX0 @ SX1 @ SX3 @ SX4 ) )
          | ( contri @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(311,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(312,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( midp @ SX0 @ SX1 @ SX2 )
          | ( cong @ SX0 @ SX1 @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[221]) ).

thf(313,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(314,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( para @ SX0 @ SX1 @ SX0 @ SX2 )
          | ( coll @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[219]) ).

thf(315,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(316,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(317,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ! [SX5: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 )
                            | ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 ) )
                      | ~ ( midp @ SX4 @ SX0 @ SX1 ) )
                | ( circle @ SX5 @ SX0 @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[239]) ).

thf(318,plain,
    ( ( cong @ sK6_SY376 @ sK1_A @ sK6_SY376 @ sK4_SY371 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(319,plain,
    ! [SV1: $i] :
      ( ( ! [SY377: $i,SY378: $i,SY379: $i,SY380: $i,SY381: $i] :
            ~ ! [SY382: $i] :
                ~ ~ ! [SY383: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY380 @ SV1 @ SY377 @ SY378 )
                                          | ~ ( cong @ SY380 @ SV1 @ SY380 @ SY379 ) )
                                    | ~ ( cong @ SY381 @ SV1 @ SY381 @ SY377 ) )
                              | ~ ( ( SY380 != SY381 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY382 @ SV1 @ SY378 )
                                        | ~ ( cong @ SY382 @ SY381 @ SY381 @ SV1 ) )
                                  | ~ ( coll @ SY383 @ SY377 @ SY379 ) )
                            | ~ ( cong @ SY383 @ SY381 @ SY381 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(320,plain,
    ! [SV2: $i] :
      ( ( ! [SY384: $i,SY385: $i,SY386: $i] :
            ~ ! [SY387: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY385 @ SV2 @ SY385 @ SY384 )
                        | ~ ( eqangle @ SV2 @ SY385 @ SY385 @ SY386 @ SY385 @ SY386 @ SY385 @ SY384 ) )
                  | ~ ( ~ ( coll @ SY384 @ SV2 @ SY387 )
                      | ~ ( coll @ SY387 @ SY385 @ SY386 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(321,plain,
    ! [SV3: $i] :
      ( ( ! [SY388: $i,SY389: $i,SY390: $i,SY391: $i] :
            ~ ! [SY392: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV3 @ SY389 @ SY388 @ SY389 @ SV3 @ SY390 @ SY388 @ SY391 )
                        | ~ ~ ( coll @ SV3 @ SY388 @ SY389 ) )
                  | ~ ( ~ ( eqangle @ SV3 @ SY389 @ SY388 @ SY389 @ SV3 @ SY392 @ SY388 @ SY392 )
                      | ~ ( cyclic @ SY390 @ SY388 @ SY389 @ SY392 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(322,plain,
    ! [SV4: $i] :
      ( ( ! [SY393: $i,SY394: $i,SY395: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY394 @ SV4 @ SY394 @ SY393 @ SY395 @ SV4 @ SY395 @ SY393 )
                  | ~ ~ ( coll @ SY394 @ SY395 @ SV4 ) )
            | ( cyclic @ SV4 @ SY393 @ SY394 @ SY395 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(323,plain,
    ! [SV5: $i] :
      ( ( ! [SY396: $i,SY397: $i,SY398: $i] :
            ~ ! [SY399: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY397 @ SY398 @ SV5 @ SY396 )
                        | ~ ( eqangle @ SV5 @ SY397 @ SY397 @ SY398 @ SY397 @ SY398 @ SY397 @ SY396 ) )
                  | ~ ( ~ ( coll @ SY396 @ SV5 @ SY399 )
                      | ~ ( coll @ SY399 @ SY397 @ SY398 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(324,plain,
    ! [SV6: $i] :
      ( ( ! [SY400: $i,SY401: $i,SY402: $i,SY403: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( para @ SV6 @ SY400 @ SY401 @ SY402 )
                        | ~ ( coll @ SY403 @ SV6 @ SY401 ) )
                  | ~ ( coll @ SY403 @ SY400 @ SY402 ) )
            | ( eqratio @ SY403 @ SV6 @ SV6 @ SY401 @ SY403 @ SY400 @ SY400 @ SY402 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(325,plain,
    ! [SV7: $i] :
      ( ( ! [SY404: $i,SY405: $i,SY406: $i,SY407: $i,SY408: $i,SY409: $i,SY410: $i,SY411: $i,SY412: $i,SY413: $i,SY414: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SY404 @ SY405 @ SY406 @ SY407 @ SY408 @ SY409 @ SY410 )
                  | ~ ( eqangle @ SY407 @ SY408 @ SY409 @ SY410 @ SY411 @ SY412 @ SY413 @ SY414 ) )
            | ( eqangle @ SV7 @ SY404 @ SY405 @ SY406 @ SY411 @ SY412 @ SY413 @ SY414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(326,plain,
    ! [SV8: $i] :
      ( ( ! [SY415: $i,SY416: $i,SY417: $i] :
            ~ ! [SY418: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV8 @ SY416 @ SY416 @ SY415 )
                        | ~ ( cyclic @ SV8 @ SY415 @ SY416 @ SY417 ) )
                  | ( circle @ SY418 @ SV8 @ SY415 @ SY416 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(327,plain,
    ! [SV9: $i] :
      ( ( ! [SY419: $i,SY420: $i,SY421: $i,SY422: $i,SY423: $i,SY424: $i] :
            ~ ! [SY425: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY424 @ SV9 @ SY419 )
                                    | ~ ( para @ SV9 @ SY421 @ SY423 @ SY424 ) )
                              | ~ ( para @ SV9 @ SY421 @ SY419 @ SY422 ) )
                        | ~ ( coll @ SY421 @ SY422 @ SY423 ) )
                  | ~ ( ~ ( coll @ SY425 @ SV9 @ SY422 )
                      | ~ ( coll @ SY425 @ SY424 @ SY423 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(328,plain,
    ! [SV10: $i] :
      ( ( ! [SY426: $i,SY427: $i] :
            ( ~ ( coll @ SV10 @ SY426 @ SY427 )
            | ( coll @ SV10 @ SY427 @ SY426 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(329,plain,
    ! [SV11: $i] :
      ( ( ! [SY428: $i,SY429: $i,SY430: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV11 @ SY428 @ SY429 @ SY430 @ SY429 @ SY430 @ SV11 @ SY428 )
                  | ~ ~ ( para @ SV11 @ SY428 @ SY429 @ SY430 ) )
            | ( perp @ SV11 @ SY428 @ SY429 @ SY430 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(330,plain,
    ! [SV12: $i] :
      ( ( ! [SY431: $i,SY432: $i,SY433: $i,SY434: $i,SY435: $i] :
            ( ~ ( para @ SV12 @ SY431 @ SY432 @ SY433 )
            | ( eqangle @ SV12 @ SY431 @ SY434 @ SY435 @ SY432 @ SY433 @ SY434 @ SY435 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(331,plain,
    ! [SV13: $i] :
      ( ( ! [SY436: $i,SY437: $i,SY438: $i] :
            ( ~ ( cong @ SV13 @ SY436 @ SY437 @ SY438 )
            | ( cong @ SY437 @ SY438 @ SV13 @ SY436 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(332,plain,
    ! [SV14: $i] :
      ( ( ! [SY439: $i,SY440: $i,SY441: $i] :
            ( ~ ~ ( ~ ( cyclic @ SV14 @ SY439 @ SY440 @ SY441 )
                  | ~ ( para @ SV14 @ SY439 @ SY440 @ SY441 ) )
            | ( eqangle @ SV14 @ SY441 @ SY440 @ SY441 @ SY440 @ SY441 @ SY440 @ SY439 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(333,plain,
    ! [SV15: $i] :
      ( ( ! [SY442: $i,SY443: $i] :
            ( ~ ~ ( ~ ( cong @ SV15 @ SY442 @ SV15 @ SY443 )
                  | ~ ( coll @ SV15 @ SY442 @ SY443 ) )
            | ( midp @ SV15 @ SY442 @ SY443 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(334,plain,
    ! [SV16: $i] :
      ( ( ! [SY444: $i,SY445: $i] :
            ( ~ ( cong @ SY445 @ SV16 @ SY445 @ SY444 )
            | ( eqangle @ SY445 @ SV16 @ SV16 @ SY444 @ SV16 @ SY444 @ SY445 @ SY444 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(335,plain,
    ! [SV17: $i] :
      ( ( ! [SY446: $i,SY447: $i,SY448: $i,SY449: $i,SY450: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV17 @ SY446 @ SY446 @ SY447 @ SY448 @ SY449 @ SY449 @ SY450 )
                        | ~ ( eqangle @ SV17 @ SY447 @ SY446 @ SY447 @ SY448 @ SY450 @ SY449 @ SY450 ) )
                  | ~ ~ ( coll @ SV17 @ SY446 @ SY447 ) )
            | ( simtri @ SV17 @ SY446 @ SY447 @ SY448 @ SY449 @ SY450 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(336,plain,
    ! [SV18: $i] :
      ( ( ! [SY451: $i,SY452: $i,SY453: $i] :
            ( ~ ( cyclic @ SV18 @ SY451 @ SY452 @ SY453 )
            | ( eqangle @ SY452 @ SV18 @ SY452 @ SY451 @ SY453 @ SV18 @ SY453 @ SY451 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(337,plain,
    ! [SV19: $i] :
      ( ( ! [SY454: $i,SY455: $i,SY456: $i,SY457: $i,SY458: $i,SY459: $i,SY460: $i] :
            ( ~ ( eqangle @ SV19 @ SY454 @ SY455 @ SY456 @ SY457 @ SY458 @ SY459 @ SY460 )
            | ( eqangle @ SV19 @ SY454 @ SY457 @ SY458 @ SY455 @ SY456 @ SY459 @ SY460 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(338,plain,
    ! [SV20: $i] :
      ( ( ! [SY461: $i,SY462: $i,SY463: $i] :
            ~ ! [SY464: $i] :
                ~ ~ ! [SY465: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV20 @ SY463 @ SY461 @ SY462 )
                              | ~ ( perp @ SY461 @ SY463 @ SV20 @ SY462 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY464 @ SY462 @ SY461 )
                                        | ~ ( perp @ SV20 @ SY464 @ SY462 @ SY461 ) )
                                  | ~ ( coll @ SY465 @ SY462 @ SV20 ) )
                            | ~ ( perp @ SY461 @ SY465 @ SY462 @ SV20 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(339,plain,
    ! [SV21: $i] :
      ( ( ! [SY466: $i,SY467: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY467 @ SV21 @ SV21 @ SY466 @ SV21 @ SY466 @ SY467 @ SY466 )
                  | ~ ~ ( coll @ SY467 @ SV21 @ SY466 ) )
            | ( cong @ SY467 @ SV21 @ SY467 @ SY466 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(340,plain,
    ! [SV22: $i] :
      ( ( ! [SY468: $i,SY469: $i,SY470: $i,SY471: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY470 @ SV22 @ SY468 )
                        | ~ ( para @ SY470 @ SY471 @ SY468 @ SY469 ) )
                  | ~ ( coll @ SY471 @ SV22 @ SY469 ) )
            | ( midp @ SY471 @ SV22 @ SY469 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(341,plain,
    ! [SV23: $i] :
      ( ( ! [SY472: $i,SY473: $i,SY474: $i] :
            ( ~ ~ ( ~ ( circle @ SY474 @ SV23 @ SY472 @ SY473 )
                  | ~ ( coll @ SY474 @ SV23 @ SY473 ) )
            | ( perp @ SV23 @ SY472 @ SY472 @ SY473 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(342,plain,
    ! [SV24: $i] :
      ( ( ! [SY475: $i,SY476: $i,SY477: $i,SY478: $i,SY479: $i] :
            ( ~ ( contri @ SV24 @ SY475 @ SY476 @ SY477 @ SY478 @ SY479 )
            | ( cong @ SV24 @ SY475 @ SY477 @ SY478 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(343,plain,
    ! [SV25: $i] :
      ( ( ! [SY480: $i,SY481: $i,SY482: $i,SY483: $i] :
            ( ~ ~ ( ~ ( circle @ SY482 @ SV25 @ SY480 @ SY481 )
                  | ~ ( midp @ SY483 @ SY480 @ SY481 ) )
            | ( eqangle @ SV25 @ SY480 @ SV25 @ SY481 @ SY482 @ SY480 @ SY482 @ SY483 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(344,plain,
    ! [SV26: $i] :
      ( ( ! [SY484: $i,SY485: $i,SY486: $i] :
            ( ~ ~ ( ~ ( cong @ SY486 @ SV26 @ SY486 @ SY484 )
                  | ~ ( cong @ SY486 @ SV26 @ SY486 @ SY485 ) )
            | ( circle @ SY486 @ SV26 @ SY484 @ SY485 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(345,plain,
    ! [SV27: $i] :
      ( ( ! [SY487: $i,SY488: $i,SY489: $i,SY490: $i,SY491: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SY487 @ SY488 @ SY489 )
                              | ~ ( cyclic @ SV27 @ SY487 @ SY488 @ SY490 ) )
                        | ~ ( cyclic @ SV27 @ SY487 @ SY488 @ SY491 ) )
                  | ~ ( eqangle @ SY488 @ SV27 @ SY488 @ SY487 @ SY491 @ SY489 @ SY491 @ SY490 ) )
            | ( cong @ SV27 @ SY487 @ SY489 @ SY490 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(346,plain,
    ! [SV28: $i] :
      ( ( ! [SY492: $i,SY493: $i] :
            ( ~ ( coll @ SV28 @ SY492 @ SY493 )
            | ( coll @ SY492 @ SV28 @ SY493 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(347,plain,
    ! [SV29: $i] :
      ( ( ! [SY494: $i,SY495: $i,SY496: $i,SY497: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY496 @ SV29 @ SY494 @ SY495 )
                        | ~ ( coll @ SY497 @ SY494 @ SY495 ) )
                  | ~ ( eqangle @ SV29 @ SY494 @ SV29 @ SY495 @ SY496 @ SY494 @ SY496 @ SY497 ) )
            | ( midp @ SY497 @ SY494 @ SY495 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(348,plain,
    ! [SV30: $i] :
      ( ( ! [SY498: $i,SY499: $i,SY500: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV30 @ SY498 @ SY499 @ SY500 @ SY499 @ SY500 @ SV30 @ SY498 )
                  | ~ ~ ( perp @ SV30 @ SY498 @ SY499 @ SY500 ) )
            | ( para @ SV30 @ SY498 @ SY499 @ SY500 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(349,plain,
    ! [SV31: $i] :
      ( ( ! [SY501: $i,SY502: $i,SY503: $i,SY504: $i,SY505: $i,SY506: $i] :
            ~ ! [SY507: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY504 @ SV31 @ SY501 )
                                    | ~ ( midp @ SY505 @ SY502 @ SY503 ) )
                              | ~ ( coll @ SY502 @ SV31 @ SY501 ) )
                        | ~ ( coll @ SY503 @ SV31 @ SY501 ) )
                  | ( midp @ SY507 @ SV31 @ SY506 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(350,plain,
    ! [SV32: $i] :
      ( ( ! [SY508: $i,SY509: $i,SY510: $i,SY511: $i,SY512: $i] :
            ( ~ ~ ( ~ ( para @ SV32 @ SY508 @ SY509 @ SY510 )
                  | ~ ( perp @ SY509 @ SY510 @ SY511 @ SY512 ) )
            | ( perp @ SV32 @ SY508 @ SY511 @ SY512 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(351,plain,
    ! [SV33: $i] :
      ( ( ! [SY513: $i,SY514: $i] :
            ( ~ ( midp @ SV33 @ SY513 @ SY514 )
            | ( coll @ SV33 @ SY513 @ SY514 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(352,plain,
    ! [SV34: $i] :
      ( ( ! [SY515: $i,SY516: $i,SY517: $i,SY518: $i,SY519: $i] :
            ( ~ ( simtri @ SV34 @ SY515 @ SY516 @ SY517 @ SY518 @ SY519 )
            | ( eqangle @ SV34 @ SY515 @ SY515 @ SY516 @ SY517 @ SY518 @ SY518 @ SY519 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(353,plain,
    ! [SV35: $i] :
      ( ( ! [SY520: $i,SY521: $i,SY522: $i,SY523: $i] :
            ~ ! [SY524: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV35 @ SY521 @ SY521 @ SY520 )
                        | ~ ( coll @ SY520 @ SY522 @ SY523 ) )
                  | ~ ( ~ ( coll @ SY524 @ SY522 @ SY523 )
                      | ~ ( perp @ SY524 @ SV35 @ SY522 @ SY523 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(354,plain,
    ! [SV36: $i] :
      ( ( ! [SY525: $i,SY526: $i,SY527: $i,SY528: $i,SY529: $i] :
            ( ~ ~ ( ~ ( perp @ SV36 @ SY525 @ SY526 @ SY527 )
                  | ~ ( perp @ SY526 @ SY527 @ SY528 @ SY529 ) )
            | ( para @ SV36 @ SY525 @ SY528 @ SY529 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(355,plain,
    ! [SV37: $i] :
      ( ( ! [SY530: $i,SY531: $i,SY532: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SY531 @ SY530 @ SY531 )
                  | ~ ( cong @ SV37 @ SY532 @ SY530 @ SY532 ) )
            | ( perp @ SV37 @ SY530 @ SY531 @ SY532 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(356,plain,
    ! [SV38: $i] :
      ( ( ! [SY533: $i,SY534: $i,SY535: $i,SY536: $i,SY537: $i] :
            ( ~ ~ ( ~ ( cong @ SV38 @ SY533 @ SY534 @ SY535 )
                  | ~ ( cong @ SY534 @ SY535 @ SY536 @ SY537 ) )
            | ( cong @ SV38 @ SY533 @ SY536 @ SY537 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(357,plain,
    ! [SV39: $i] :
      ( ( ! [SY538: $i,SY539: $i] :
            ~ ! [SY540: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY539 @ SV39 @ SY539 @ SY538 )
                        | ~ ( perp @ SV39 @ SY539 @ SY539 @ SY538 ) )
                  | ~ ( ~ ( coll @ SV39 @ SY539 @ SY540 )
                      | ~ ( cong @ SY539 @ SV39 @ SY539 @ SY540 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(358,plain,
    ! [SV40: $i] :
      ( ( ! [SY541: $i,SY542: $i,SY543: $i,SY544: $i,SY545: $i] :
            ~ ! [SY546: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SY541 @ SY542 @ SY543 )
                                    | ~ ( coll @ SY544 @ SV40 @ SY542 ) )
                              | ~ ( coll @ SY544 @ SY541 @ SY543 ) )
                        | ~ ( coll @ SY545 @ SV40 @ SY541 ) )
                  | ~ ( ~ ( coll @ SY544 @ SY545 @ SY546 )
                      | ~ ( coll @ SY546 @ SY542 @ SY543 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(359,plain,
    ! [SV41: $i] :
      ( ( ! [SY547: $i,SY548: $i,SY549: $i,SY550: $i,SY551: $i,SY552: $i,SY553: $i] :
            ( ~ ( eqangle @ SV41 @ SY547 @ SY548 @ SY549 @ SY550 @ SY551 @ SY552 @ SY553 )
            | ( eqangle @ SY547 @ SV41 @ SY548 @ SY549 @ SY550 @ SY551 @ SY552 @ SY553 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[291]) ).

thf(360,plain,
    ! [SV42: $i] :
      ( ( ! [SY554: $i,SY555: $i,SY556: $i] :
            ( ~ ~ ( ~ ( perp @ SV42 @ SY554 @ SY554 @ SY555 )
                  | ~ ( midp @ SY556 @ SV42 @ SY555 ) )
            | ( cong @ SV42 @ SY556 @ SY554 @ SY556 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(361,plain,
    ! [SV43: $i] :
      ( ( ! [SY557: $i,SY558: $i,SY559: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY558 @ SV43 @ SY558 @ SY557 @ SY559 @ SV43 @ SY559 @ SY557 )
                  | ~ ( coll @ SY558 @ SY559 @ SY557 ) )
            | ( cyclic @ SV43 @ SY557 @ SY558 @ SY559 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(362,plain,
    ! [SV44: $i] :
      ( ( ! [SY560: $i,SY561: $i,SY562: $i,SY563: $i,SY564: $i,SY565: $i,SY566: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV44 @ SY560 @ SY561 @ SY562 @ SY563 @ SY564 @ SY565 @ SY566 )
                  | ~ ( perp @ SY563 @ SY564 @ SY565 @ SY566 ) )
            | ( perp @ SV44 @ SY560 @ SY561 @ SY562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(363,plain,
    ! [SV45: $i] :
      ( ( ! [SY567: $i,SY568: $i,SY569: $i] :
            ~ ! [SY570: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY568 @ SY567 @ SY567 @ SV45 )
                        | ~ ( eqangle @ SY569 @ SY568 @ SY567 @ SY568 @ SY567 @ SY568 @ SV45 @ SY568 ) )
                  | ~ ( ~ ( coll @ SY570 @ SV45 @ SY567 )
                      | ~ ( coll @ SY570 @ SY568 @ SY569 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(364,plain,
    ! [SV46: $i] :
      ( ( ! [SY571: $i,SY572: $i,SY573: $i,SY574: $i,SY575: $i,SY576: $i,SY577: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV46 @ SY571 @ SY572 @ SY573 @ SY574 @ SY575 @ SY576 @ SY577 )
                  | ~ ( cong @ SY574 @ SY575 @ SY576 @ SY577 ) )
            | ( cong @ SV46 @ SY571 @ SY572 @ SY573 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(365,plain,
    ! [SV47: $i] :
      ( ( ! [SY578: $i,SY579: $i,SY580: $i] :
            ( ~ ~ ( ~ ( midp @ SY579 @ SV47 @ SY578 )
                  | ~ ( perp @ SY580 @ SY579 @ SV47 @ SY578 ) )
            | ( cong @ SY580 @ SV47 @ SY580 @ SY578 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[297]) ).

thf(366,plain,
    ! [SV48: $i] :
      ( ( ! [SY581: $i,SY582: $i,SY583: $i] :
            ( ~ ( cong @ SV48 @ SY581 @ SY582 @ SY583 )
            | ( cong @ SV48 @ SY581 @ SY583 @ SY582 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(367,plain,
    ! [SV49: $i] :
      ( ( ! [SY584: $i,SY585: $i,SY586: $i,SY587: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SY587 @ SV49 @ SY587 @ SY584 )
                        | ~ ( cong @ SY587 @ SV49 @ SY587 @ SY585 ) )
                  | ~ ( cong @ SY587 @ SV49 @ SY587 @ SY586 ) )
            | ( cyclic @ SV49 @ SY584 @ SY585 @ SY586 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(368,plain,
    ! [SV50: $i] :
      ( ( ! [SY588: $i,SY589: $i,SY590: $i,SY591: $i,SY592: $i,SY593: $i,SY594: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV50 @ SY588 @ SY589 @ SY590 @ SY591 @ SY592 @ SY593 @ SY594 )
                  | ~ ( para @ SY591 @ SY592 @ SY593 @ SY594 ) )
            | ( para @ SV50 @ SY588 @ SY589 @ SY590 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(369,plain,
    ! [SV51: $i] :
      ( ( ! [SY595: $i,SY596: $i,SY597: $i] :
            ~ ! [SY598: $i] :
                ~ ( ~ ( circle @ SY597 @ SV51 @ SY595 @ SY596 )
                  | ( perp @ SY598 @ SV51 @ SV51 @ SY597 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(370,plain,
    ! [SV52: $i] :
      ( ( ! [SY599: $i,SY600: $i,SY601: $i] :
            ( ~ ( perp @ SV52 @ SY599 @ SY600 @ SY601 )
            | ( perp @ SV52 @ SY599 @ SY601 @ SY600 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(371,plain,
    ! [SV53: $i] :
      ( ( ! [SY602: $i,SY603: $i,SY604: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SV53 @ SY603 @ SY602 @ SY603 )
                        | ~ ( cong @ SV53 @ SY604 @ SY602 @ SY604 ) )
                  | ~ ( cyclic @ SV53 @ SY602 @ SY603 @ SY604 ) )
            | ( perp @ SY603 @ SV53 @ SV53 @ SY604 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(372,plain,
    ! [SV54: $i] :
      ( ( ! [SY605: $i,SY606: $i,SY607: $i] :
            ~ ! [SY608: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY606 @ SY607 @ SV54 @ SY605 )
                        | ~ ( cong @ SY606 @ SV54 @ SY606 @ SY605 ) )
                  | ~ ( ~ ( coll @ SY605 @ SV54 @ SY608 )
                      | ~ ( coll @ SY608 @ SY606 @ SY607 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(373,plain,
    ! [SV55: $i] :
      ( ( ! [SY609: $i,SY610: $i,SY611: $i,SY612: $i] :
            ~ ! [SY613: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SY609 @ SV55 @ SY610 )
                              | ~ ( perp @ SY610 @ SV55 @ SY610 @ SY611 ) )
                        | ~ ( midp @ SY612 @ SY609 @ SY611 ) )
                  | ( midp @ SY613 @ SV55 @ SY610 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(374,plain,
    ! [SV56: $i] :
      ( ( ! [SY614: $i,SY615: $i,SY616: $i,SY617: $i,SY618: $i] :
            ( ~ ( eqangle @ SV56 @ SY614 @ SY617 @ SY618 @ SY615 @ SY616 @ SY617 @ SY618 )
            | ( para @ SV56 @ SY614 @ SY615 @ SY616 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(375,plain,
    ! [SV57: $i] :
      ( ( ! [SY619: $i,SY620: $i,SY621: $i,SY622: $i] :
            ~ ! [SY623: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY622 @ SY620 @ SY622 @ SY621 )
                        | ~ ( perp @ SV57 @ SY619 @ SY619 @ SY622 ) )
                  | ~ ( ~ ~ ( ~ ( cong @ SY622 @ SY620 @ SY622 @ SY623 )
                            | ~ ( para @ SY623 @ SY620 @ SV57 @ SY619 ) )
                      | ~ ( cong @ SY619 @ SY620 @ SY619 @ SY623 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(376,plain,
    ! [SV58: $i] :
      ( ( ! [SY624: $i,SY625: $i,SY626: $i,SY627: $i] :
            ( ~ ~ ( ~ ( circle @ SY626 @ SV58 @ SY624 @ SY625 )
                  | ~ ( perp @ SY626 @ SV58 @ SV58 @ SY627 ) )
            | ( eqangle @ SV58 @ SY627 @ SV58 @ SY624 @ SY625 @ SV58 @ SY625 @ SY624 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(377,plain,
    ! [SV59: $i] :
      ( ( ! [SY628: $i,SY629: $i,SY630: $i,SY631: $i] :
            ( ~ ~ ( ~ ( circle @ SY630 @ SV59 @ SY628 @ SY629 )
                  | ~ ( eqangle @ SV59 @ SY631 @ SV59 @ SY628 @ SY629 @ SV59 @ SY629 @ SY628 ) )
            | ( perp @ SY630 @ SV59 @ SV59 @ SY631 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(378,plain,
    ! [SV60: $i] :
      ( ( ! [SY632: $i,SY633: $i,SY634: $i,SY635: $i,SY636: $i] :
            ( ~ ~ ( ~ ( simtri @ SV60 @ SY632 @ SY633 @ SY634 @ SY635 @ SY636 )
                  | ~ ( cong @ SV60 @ SY632 @ SY634 @ SY635 ) )
            | ( contri @ SV60 @ SY632 @ SY633 @ SY634 @ SY635 @ SY636 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(379,plain,
    ! [SV61: $i] :
      ( ( ! [SY637: $i,SY638: $i,SY639: $i] :
            ( ~ ~ ( ~ ( coll @ SV61 @ SY637 @ SY638 )
                  | ~ ( coll @ SV61 @ SY637 @ SY639 ) )
            | ( coll @ SY638 @ SY639 @ SV61 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(380,plain,
    ! [SV62: $i] :
      ( ( ! [SY640: $i,SY641: $i] :
            ( ~ ( midp @ SV62 @ SY640 @ SY641 )
            | ( cong @ SV62 @ SY640 @ SV62 @ SY641 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(381,plain,
    ! [SV63: $i] :
      ( ( ! [SY642: $i,SY643: $i,SY644: $i,SY645: $i,SY646: $i,SY647: $i,SY648: $i] :
            ( ~ ( eqangle @ SV63 @ SY642 @ SY643 @ SY644 @ SY645 @ SY646 @ SY647 @ SY648 )
            | ( eqangle @ SY645 @ SY646 @ SY647 @ SY648 @ SV63 @ SY642 @ SY643 @ SY644 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(382,plain,
    ! [SV64: $i] :
      ( ( ! [SY649: $i,SY650: $i] :
            ( ~ ( para @ SV64 @ SY649 @ SV64 @ SY650 )
            | ( coll @ SV64 @ SY649 @ SY650 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(383,plain,
    ! [SV65: $i] :
      ( ( ! [SY651: $i,SY652: $i,SY653: $i,SY654: $i,SY655: $i,SY656: $i,SY657: $i] :
            ( ~ ( eqangle @ SV65 @ SY651 @ SY652 @ SY653 @ SY654 @ SY655 @ SY656 @ SY657 )
            | ( eqangle @ SY652 @ SY653 @ SV65 @ SY651 @ SY656 @ SY657 @ SY654 @ SY655 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(384,plain,
    ! [SV66: $i] :
      ( ( ! [SY658: $i,SY659: $i,SY660: $i] :
            ( ~ ( perp @ SV66 @ SY658 @ SY659 @ SY660 )
            | ( perp @ SY659 @ SY660 @ SV66 @ SY658 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(385,plain,
    ! [SV67: $i] :
      ( ( ! [SY661: $i,SY662: $i,SY663: $i,SY664: $i] :
            ~ ! [SY665: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SY661 @ SY662 @ SY663 )
                              | ~ ( para @ SV67 @ SY661 @ SY662 @ SY663 ) )
                        | ~ ( midp @ SY664 @ SV67 @ SY661 ) )
                  | ( circle @ SY665 @ SV67 @ SY661 @ SY662 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(386,plain,
    ! [SV68: $i,SV1: $i] :
      ( ( ! [SY666: $i,SY667: $i,SY668: $i,SY669: $i] :
            ~ ! [SY670: $i] :
                ~ ~ ! [SY671: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY668 @ SV1 @ SV68 @ SY666 )
                                          | ~ ( cong @ SY668 @ SV1 @ SY668 @ SY667 ) )
                                    | ~ ( cong @ SY669 @ SV1 @ SY669 @ SV68 ) )
                              | ~ ( ( SY668 != SY669 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY670 @ SV1 @ SY666 )
                                        | ~ ( cong @ SY670 @ SY669 @ SY669 @ SV1 ) )
                                  | ~ ( coll @ SY671 @ SV68 @ SY667 ) )
                            | ~ ( cong @ SY671 @ SY669 @ SY669 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(387,plain,
    ! [SV69: $i,SV2: $i] :
      ( ( ! [SY672: $i,SY673: $i] :
            ~ ! [SY674: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY672 @ SV2 @ SY672 @ SV69 )
                        | ~ ( eqangle @ SV2 @ SY672 @ SY672 @ SY673 @ SY672 @ SY673 @ SY672 @ SV69 ) )
                  | ~ ( ~ ( coll @ SV69 @ SV2 @ SY674 )
                      | ~ ( coll @ SY674 @ SY672 @ SY673 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(388,plain,
    ! [SV70: $i,SV3: $i] :
      ( ( ! [SY675: $i,SY676: $i,SY677: $i] :
            ~ ! [SY678: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV3 @ SY675 @ SV70 @ SY675 @ SV3 @ SY676 @ SV70 @ SY677 )
                        | ~ ~ ( coll @ SV3 @ SV70 @ SY675 ) )
                  | ~ ( ~ ( eqangle @ SV3 @ SY675 @ SV70 @ SY675 @ SV3 @ SY678 @ SV70 @ SY678 )
                      | ~ ( cyclic @ SY676 @ SV70 @ SY675 @ SY678 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(389,plain,
    ! [SV71: $i,SV4: $i] :
      ( ( ! [SY679: $i,SY680: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY679 @ SV4 @ SY679 @ SV71 @ SY680 @ SV4 @ SY680 @ SV71 )
                  | ~ ~ ( coll @ SY679 @ SY680 @ SV4 ) )
            | ( cyclic @ SV4 @ SV71 @ SY679 @ SY680 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(390,plain,
    ! [SV72: $i,SV5: $i] :
      ( ( ! [SY681: $i,SY682: $i] :
            ~ ! [SY683: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY681 @ SY682 @ SV5 @ SV72 )
                        | ~ ( eqangle @ SV5 @ SY681 @ SY681 @ SY682 @ SY681 @ SY682 @ SY681 @ SV72 ) )
                  | ~ ( ~ ( coll @ SV72 @ SV5 @ SY683 )
                      | ~ ( coll @ SY683 @ SY681 @ SY682 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(391,plain,
    ! [SV73: $i,SV6: $i] :
      ( ( ! [SY684: $i,SY685: $i,SY686: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( para @ SV6 @ SV73 @ SY684 @ SY685 )
                        | ~ ( coll @ SY686 @ SV6 @ SY684 ) )
                  | ~ ( coll @ SY686 @ SV73 @ SY685 ) )
            | ( eqratio @ SY686 @ SV6 @ SV6 @ SY684 @ SY686 @ SV73 @ SV73 @ SY685 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(392,plain,
    ! [SV74: $i,SV7: $i] :
      ( ( ! [SY687: $i,SY688: $i,SY689: $i,SY690: $i,SY691: $i,SY692: $i,SY693: $i,SY694: $i,SY695: $i,SY696: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SY687 @ SY688 @ SY689 @ SY690 @ SY691 @ SY692 )
                  | ~ ( eqangle @ SY689 @ SY690 @ SY691 @ SY692 @ SY693 @ SY694 @ SY695 @ SY696 ) )
            | ( eqangle @ SV7 @ SV74 @ SY687 @ SY688 @ SY693 @ SY694 @ SY695 @ SY696 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(393,plain,
    ! [SV75: $i,SV8: $i] :
      ( ( ! [SY697: $i,SY698: $i] :
            ~ ! [SY699: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV8 @ SY697 @ SY697 @ SV75 )
                        | ~ ( cyclic @ SV8 @ SV75 @ SY697 @ SY698 ) )
                  | ( circle @ SY699 @ SV8 @ SV75 @ SY697 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(394,plain,
    ! [SV76: $i,SV9: $i] :
      ( ( ! [SY700: $i,SY701: $i,SY702: $i,SY703: $i,SY704: $i] :
            ~ ! [SY705: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY704 @ SV9 @ SV76 )
                                    | ~ ( para @ SV9 @ SY701 @ SY703 @ SY704 ) )
                              | ~ ( para @ SV9 @ SY701 @ SV76 @ SY702 ) )
                        | ~ ( coll @ SY701 @ SY702 @ SY703 ) )
                  | ~ ( ~ ( coll @ SY705 @ SV9 @ SY702 )
                      | ~ ( coll @ SY705 @ SY704 @ SY703 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(395,plain,
    ! [SV77: $i,SV10: $i] :
      ( ( ! [SY706: $i] :
            ( ~ ( coll @ SV10 @ SV77 @ SY706 )
            | ( coll @ SV10 @ SY706 @ SV77 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(396,plain,
    ! [SV78: $i,SV11: $i] :
      ( ( ! [SY707: $i,SY708: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV11 @ SV78 @ SY707 @ SY708 @ SY707 @ SY708 @ SV11 @ SV78 )
                  | ~ ~ ( para @ SV11 @ SV78 @ SY707 @ SY708 ) )
            | ( perp @ SV11 @ SV78 @ SY707 @ SY708 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(397,plain,
    ! [SV79: $i,SV12: $i] :
      ( ( ! [SY709: $i,SY710: $i,SY711: $i,SY712: $i] :
            ( ~ ( para @ SV12 @ SV79 @ SY709 @ SY710 )
            | ( eqangle @ SV12 @ SV79 @ SY711 @ SY712 @ SY709 @ SY710 @ SY711 @ SY712 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(398,plain,
    ! [SV80: $i,SV13: $i] :
      ( ( ! [SY713: $i,SY714: $i] :
            ( ~ ( cong @ SV13 @ SV80 @ SY713 @ SY714 )
            | ( cong @ SY713 @ SY714 @ SV13 @ SV80 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(399,plain,
    ! [SV81: $i,SV14: $i] :
      ( ( ! [SY715: $i,SY716: $i] :
            ( ~ ~ ( ~ ( cyclic @ SV14 @ SV81 @ SY715 @ SY716 )
                  | ~ ( para @ SV14 @ SV81 @ SY715 @ SY716 ) )
            | ( eqangle @ SV14 @ SY716 @ SY715 @ SY716 @ SY715 @ SY716 @ SY715 @ SV81 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(400,plain,
    ! [SV82: $i,SV15: $i] :
      ( ( ! [SY717: $i] :
            ( ~ ~ ( ~ ( cong @ SV15 @ SV82 @ SV15 @ SY717 )
                  | ~ ( coll @ SV15 @ SV82 @ SY717 ) )
            | ( midp @ SV15 @ SV82 @ SY717 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(401,plain,
    ! [SV83: $i,SV16: $i] :
      ( ( ! [SY718: $i] :
            ( ~ ( cong @ SY718 @ SV16 @ SY718 @ SV83 )
            | ( eqangle @ SY718 @ SV16 @ SV16 @ SV83 @ SV16 @ SV83 @ SY718 @ SV83 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(402,plain,
    ! [SV84: $i,SV17: $i] :
      ( ( ! [SY719: $i,SY720: $i,SY721: $i,SY722: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SY719 @ SY720 @ SY721 @ SY721 @ SY722 )
                        | ~ ( eqangle @ SV17 @ SY719 @ SV84 @ SY719 @ SY720 @ SY722 @ SY721 @ SY722 ) )
                  | ~ ~ ( coll @ SV17 @ SV84 @ SY719 ) )
            | ( simtri @ SV17 @ SV84 @ SY719 @ SY720 @ SY721 @ SY722 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(403,plain,
    ! [SV85: $i,SV18: $i] :
      ( ( ! [SY723: $i,SY724: $i] :
            ( ~ ( cyclic @ SV18 @ SV85 @ SY723 @ SY724 )
            | ( eqangle @ SY723 @ SV18 @ SY723 @ SV85 @ SY724 @ SV18 @ SY724 @ SV85 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(404,plain,
    ! [SV86: $i,SV19: $i] :
      ( ( ! [SY725: $i,SY726: $i,SY727: $i,SY728: $i,SY729: $i,SY730: $i] :
            ( ~ ( eqangle @ SV19 @ SV86 @ SY725 @ SY726 @ SY727 @ SY728 @ SY729 @ SY730 )
            | ( eqangle @ SV19 @ SV86 @ SY727 @ SY728 @ SY725 @ SY726 @ SY729 @ SY730 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(405,plain,
    ! [SV87: $i,SV20: $i] :
      ( ( ! [SY731: $i,SY732: $i] :
            ~ ! [SY733: $i] :
                ~ ~ ! [SY734: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV20 @ SY732 @ SV87 @ SY731 )
                              | ~ ( perp @ SV87 @ SY732 @ SV20 @ SY731 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY733 @ SY731 @ SV87 )
                                        | ~ ( perp @ SV20 @ SY733 @ SY731 @ SV87 ) )
                                  | ~ ( coll @ SY734 @ SY731 @ SV20 ) )
                            | ~ ( perp @ SV87 @ SY734 @ SY731 @ SV20 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(406,plain,
    ! [SV88: $i,SV21: $i] :
      ( ( ! [SY735: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY735 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SY735 @ SV88 )
                  | ~ ~ ( coll @ SY735 @ SV21 @ SV88 ) )
            | ( cong @ SY735 @ SV21 @ SY735 @ SV88 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(407,plain,
    ! [SV89: $i,SV22: $i] :
      ( ( ! [SY736: $i,SY737: $i,SY738: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY737 @ SV22 @ SV89 )
                        | ~ ( para @ SY737 @ SY738 @ SV89 @ SY736 ) )
                  | ~ ( coll @ SY738 @ SV22 @ SY736 ) )
            | ( midp @ SY738 @ SV22 @ SY736 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(408,plain,
    ! [SV90: $i,SV23: $i] :
      ( ( ! [SY739: $i,SY740: $i] :
            ( ~ ~ ( ~ ( circle @ SY740 @ SV23 @ SV90 @ SY739 )
                  | ~ ( coll @ SY740 @ SV23 @ SY739 ) )
            | ( perp @ SV23 @ SV90 @ SV90 @ SY739 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(409,plain,
    ! [SV91: $i,SV24: $i] :
      ( ( ! [SY741: $i,SY742: $i,SY743: $i,SY744: $i] :
            ( ~ ( contri @ SV24 @ SV91 @ SY741 @ SY742 @ SY743 @ SY744 )
            | ( cong @ SV24 @ SV91 @ SY742 @ SY743 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(410,plain,
    ! [SV92: $i,SV25: $i] :
      ( ( ! [SY745: $i,SY746: $i,SY747: $i] :
            ( ~ ~ ( ~ ( circle @ SY746 @ SV25 @ SV92 @ SY745 )
                  | ~ ( midp @ SY747 @ SV92 @ SY745 ) )
            | ( eqangle @ SV25 @ SV92 @ SV25 @ SY745 @ SY746 @ SV92 @ SY746 @ SY747 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(411,plain,
    ! [SV93: $i,SV26: $i] :
      ( ( ! [SY748: $i,SY749: $i] :
            ( ~ ~ ( ~ ( cong @ SY749 @ SV26 @ SY749 @ SV93 )
                  | ~ ( cong @ SY749 @ SV26 @ SY749 @ SY748 ) )
            | ( circle @ SY749 @ SV26 @ SV93 @ SY748 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(412,plain,
    ! [SV94: $i,SV27: $i] :
      ( ( ! [SY750: $i,SY751: $i,SY752: $i,SY753: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SY750 @ SY751 )
                              | ~ ( cyclic @ SV27 @ SV94 @ SY750 @ SY752 ) )
                        | ~ ( cyclic @ SV27 @ SV94 @ SY750 @ SY753 ) )
                  | ~ ( eqangle @ SY750 @ SV27 @ SY750 @ SV94 @ SY753 @ SY751 @ SY753 @ SY752 ) )
            | ( cong @ SV27 @ SV94 @ SY751 @ SY752 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(413,plain,
    ! [SV95: $i,SV28: $i] :
      ( ( ! [SY754: $i] :
            ( ~ ( coll @ SV28 @ SV95 @ SY754 )
            | ( coll @ SV95 @ SV28 @ SY754 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(414,plain,
    ! [SV96: $i,SV29: $i] :
      ( ( ! [SY755: $i,SY756: $i,SY757: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY756 @ SV29 @ SV96 @ SY755 )
                        | ~ ( coll @ SY757 @ SV96 @ SY755 ) )
                  | ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SY755 @ SY756 @ SV96 @ SY756 @ SY757 ) )
            | ( midp @ SY757 @ SV96 @ SY755 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(415,plain,
    ! [SV97: $i,SV30: $i] :
      ( ( ! [SY758: $i,SY759: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV30 @ SV97 @ SY758 @ SY759 @ SY758 @ SY759 @ SV30 @ SV97 )
                  | ~ ~ ( perp @ SV30 @ SV97 @ SY758 @ SY759 ) )
            | ( para @ SV30 @ SV97 @ SY758 @ SY759 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(416,plain,
    ! [SV98: $i,SV31: $i] :
      ( ( ! [SY760: $i,SY761: $i,SY762: $i,SY763: $i,SY764: $i] :
            ~ ! [SY765: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY762 @ SV31 @ SV98 )
                                    | ~ ( midp @ SY763 @ SY760 @ SY761 ) )
                              | ~ ( coll @ SY760 @ SV31 @ SV98 ) )
                        | ~ ( coll @ SY761 @ SV31 @ SV98 ) )
                  | ( midp @ SY765 @ SV31 @ SY764 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(417,plain,
    ! [SV99: $i,SV32: $i] :
      ( ( ! [SY766: $i,SY767: $i,SY768: $i,SY769: $i] :
            ( ~ ~ ( ~ ( para @ SV32 @ SV99 @ SY766 @ SY767 )
                  | ~ ( perp @ SY766 @ SY767 @ SY768 @ SY769 ) )
            | ( perp @ SV32 @ SV99 @ SY768 @ SY769 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(418,plain,
    ! [SV100: $i,SV33: $i] :
      ( ( ! [SY770: $i] :
            ( ~ ( midp @ SV33 @ SV100 @ SY770 )
            | ( coll @ SV33 @ SV100 @ SY770 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(419,plain,
    ! [SV101: $i,SV34: $i] :
      ( ( ! [SY771: $i,SY772: $i,SY773: $i,SY774: $i] :
            ( ~ ( simtri @ SV34 @ SV101 @ SY771 @ SY772 @ SY773 @ SY774 )
            | ( eqangle @ SV34 @ SV101 @ SV101 @ SY771 @ SY772 @ SY773 @ SY773 @ SY774 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(420,plain,
    ! [SV102: $i,SV35: $i] :
      ( ( ! [SY775: $i,SY776: $i,SY777: $i] :
            ~ ! [SY778: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV35 @ SY775 @ SY775 @ SV102 )
                        | ~ ( coll @ SV102 @ SY776 @ SY777 ) )
                  | ~ ( ~ ( coll @ SY778 @ SY776 @ SY777 )
                      | ~ ( perp @ SY778 @ SV35 @ SY776 @ SY777 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(421,plain,
    ! [SV103: $i,SV36: $i] :
      ( ( ! [SY779: $i,SY780: $i,SY781: $i,SY782: $i] :
            ( ~ ~ ( ~ ( perp @ SV36 @ SV103 @ SY779 @ SY780 )
                  | ~ ( perp @ SY779 @ SY780 @ SY781 @ SY782 ) )
            | ( para @ SV36 @ SV103 @ SY781 @ SY782 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(422,plain,
    ! [SV104: $i,SV37: $i] :
      ( ( ! [SY783: $i,SY784: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SY783 @ SV104 @ SY783 )
                  | ~ ( cong @ SV37 @ SY784 @ SV104 @ SY784 ) )
            | ( perp @ SV37 @ SV104 @ SY783 @ SY784 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(423,plain,
    ! [SV105: $i,SV38: $i] :
      ( ( ! [SY785: $i,SY786: $i,SY787: $i,SY788: $i] :
            ( ~ ~ ( ~ ( cong @ SV38 @ SV105 @ SY785 @ SY786 )
                  | ~ ( cong @ SY785 @ SY786 @ SY787 @ SY788 ) )
            | ( cong @ SV38 @ SV105 @ SY787 @ SY788 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(424,plain,
    ! [SV106: $i,SV39: $i] :
      ( ( ! [SY789: $i] :
            ~ ! [SY790: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY789 @ SV39 @ SY789 @ SV106 )
                        | ~ ( perp @ SV39 @ SY789 @ SY789 @ SV106 ) )
                  | ~ ( ~ ( coll @ SV39 @ SY789 @ SY790 )
                      | ~ ( cong @ SY789 @ SV39 @ SY789 @ SY790 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(425,plain,
    ! [SV107: $i,SV40: $i] :
      ( ( ! [SY791: $i,SY792: $i,SY793: $i,SY794: $i] :
            ~ ! [SY795: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SY791 @ SY792 )
                                    | ~ ( coll @ SY793 @ SV40 @ SY791 ) )
                              | ~ ( coll @ SY793 @ SV107 @ SY792 ) )
                        | ~ ( coll @ SY794 @ SV40 @ SV107 ) )
                  | ~ ( ~ ( coll @ SY793 @ SY794 @ SY795 )
                      | ~ ( coll @ SY795 @ SY791 @ SY792 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(426,plain,
    ! [SV108: $i,SV41: $i] :
      ( ( ! [SY796: $i,SY797: $i,SY798: $i,SY799: $i,SY800: $i,SY801: $i] :
            ( ~ ( eqangle @ SV41 @ SV108 @ SY796 @ SY797 @ SY798 @ SY799 @ SY800 @ SY801 )
            | ( eqangle @ SV108 @ SV41 @ SY796 @ SY797 @ SY798 @ SY799 @ SY800 @ SY801 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(427,plain,
    ! [SV109: $i,SV42: $i] :
      ( ( ! [SY802: $i,SY803: $i] :
            ( ~ ~ ( ~ ( perp @ SV42 @ SV109 @ SV109 @ SY802 )
                  | ~ ( midp @ SY803 @ SV42 @ SY802 ) )
            | ( cong @ SV42 @ SY803 @ SV109 @ SY803 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(428,plain,
    ! [SV110: $i,SV43: $i] :
      ( ( ! [SY804: $i,SY805: $i] :
            ( ~ ~ ( ~ ( eqangle @ SY804 @ SV43 @ SY804 @ SV110 @ SY805 @ SV43 @ SY805 @ SV110 )
                  | ~ ( coll @ SY804 @ SY805 @ SV110 ) )
            | ( cyclic @ SV43 @ SV110 @ SY804 @ SY805 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(429,plain,
    ! [SV111: $i,SV44: $i] :
      ( ( ! [SY806: $i,SY807: $i,SY808: $i,SY809: $i,SY810: $i,SY811: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV44 @ SV111 @ SY806 @ SY807 @ SY808 @ SY809 @ SY810 @ SY811 )
                  | ~ ( perp @ SY808 @ SY809 @ SY810 @ SY811 ) )
            | ( perp @ SV44 @ SV111 @ SY806 @ SY807 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(430,plain,
    ! [SV45: $i,SV112: $i] :
      ( ( ! [SY812: $i,SY813: $i] :
            ~ ! [SY814: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY812 @ SV112 @ SV112 @ SV45 )
                        | ~ ( eqangle @ SY813 @ SY812 @ SV112 @ SY812 @ SV112 @ SY812 @ SV45 @ SY812 ) )
                  | ~ ( ~ ( coll @ SY814 @ SV45 @ SV112 )
                      | ~ ( coll @ SY814 @ SY812 @ SY813 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(431,plain,
    ! [SV113: $i,SV46: $i] :
      ( ( ! [SY815: $i,SY816: $i,SY817: $i,SY818: $i,SY819: $i,SY820: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV46 @ SV113 @ SY815 @ SY816 @ SY817 @ SY818 @ SY819 @ SY820 )
                  | ~ ( cong @ SY817 @ SY818 @ SY819 @ SY820 ) )
            | ( cong @ SV46 @ SV113 @ SY815 @ SY816 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(432,plain,
    ! [SV114: $i,SV47: $i] :
      ( ( ! [SY821: $i,SY822: $i] :
            ( ~ ~ ( ~ ( midp @ SY821 @ SV47 @ SV114 )
                  | ~ ( perp @ SY822 @ SY821 @ SV47 @ SV114 ) )
            | ( cong @ SY822 @ SV47 @ SY822 @ SV114 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(433,plain,
    ! [SV115: $i,SV48: $i] :
      ( ( ! [SY823: $i,SY824: $i] :
            ( ~ ( cong @ SV48 @ SV115 @ SY823 @ SY824 )
            | ( cong @ SV48 @ SV115 @ SY824 @ SY823 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(434,plain,
    ! [SV116: $i,SV49: $i] :
      ( ( ! [SY825: $i,SY826: $i,SY827: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SY827 @ SV49 @ SY827 @ SV116 )
                        | ~ ( cong @ SY827 @ SV49 @ SY827 @ SY825 ) )
                  | ~ ( cong @ SY827 @ SV49 @ SY827 @ SY826 ) )
            | ( cyclic @ SV49 @ SV116 @ SY825 @ SY826 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(435,plain,
    ! [SV117: $i,SV50: $i] :
      ( ( ! [SY828: $i,SY829: $i,SY830: $i,SY831: $i,SY832: $i,SY833: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV50 @ SV117 @ SY828 @ SY829 @ SY830 @ SY831 @ SY832 @ SY833 )
                  | ~ ( para @ SY830 @ SY831 @ SY832 @ SY833 ) )
            | ( para @ SV50 @ SV117 @ SY828 @ SY829 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(436,plain,
    ! [SV118: $i,SV51: $i] :
      ( ( ! [SY834: $i,SY835: $i] :
            ~ ! [SY836: $i] :
                ~ ( ~ ( circle @ SY835 @ SV51 @ SV118 @ SY834 )
                  | ( perp @ SY836 @ SV51 @ SV51 @ SY835 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(437,plain,
    ! [SV119: $i,SV52: $i] :
      ( ( ! [SY837: $i,SY838: $i] :
            ( ~ ( perp @ SV52 @ SV119 @ SY837 @ SY838 )
            | ( perp @ SV52 @ SV119 @ SY838 @ SY837 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(438,plain,
    ! [SV120: $i,SV53: $i] :
      ( ( ! [SY839: $i,SY840: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SV53 @ SY839 @ SV120 @ SY839 )
                        | ~ ( cong @ SV53 @ SY840 @ SV120 @ SY840 ) )
                  | ~ ( cyclic @ SV53 @ SV120 @ SY839 @ SY840 ) )
            | ( perp @ SY839 @ SV53 @ SV53 @ SY840 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(439,plain,
    ! [SV121: $i,SV54: $i] :
      ( ( ! [SY841: $i,SY842: $i] :
            ~ ! [SY843: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SY841 @ SY842 @ SV54 @ SV121 )
                        | ~ ( cong @ SY841 @ SV54 @ SY841 @ SV121 ) )
                  | ~ ( ~ ( coll @ SV121 @ SV54 @ SY843 )
                      | ~ ( coll @ SY843 @ SY841 @ SY842 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(440,plain,
    ! [SV122: $i,SV55: $i] :
      ( ( ! [SY844: $i,SY845: $i,SY846: $i] :
            ~ ! [SY847: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SY844 )
                              | ~ ( perp @ SY844 @ SV55 @ SY844 @ SY845 ) )
                        | ~ ( midp @ SY846 @ SV122 @ SY845 ) )
                  | ( midp @ SY847 @ SV55 @ SY844 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(441,plain,
    ! [SV123: $i,SV56: $i] :
      ( ( ! [SY848: $i,SY849: $i,SY850: $i,SY851: $i] :
            ( ~ ( eqangle @ SV56 @ SV123 @ SY850 @ SY851 @ SY848 @ SY849 @ SY850 @ SY851 )
            | ( para @ SV56 @ SV123 @ SY848 @ SY849 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(442,plain,
    ! [SV124: $i,SV57: $i] :
      ( ( ! [SY852: $i,SY853: $i,SY854: $i] :
            ~ ! [SY855: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY854 @ SY852 @ SY854 @ SY853 )
                        | ~ ( perp @ SV57 @ SV124 @ SV124 @ SY854 ) )
                  | ~ ( ~ ~ ( ~ ( cong @ SY854 @ SY852 @ SY854 @ SY855 )
                            | ~ ( para @ SY855 @ SY852 @ SV57 @ SV124 ) )
                      | ~ ( cong @ SV124 @ SY852 @ SV124 @ SY855 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(443,plain,
    ! [SV125: $i,SV58: $i] :
      ( ( ! [SY856: $i,SY857: $i,SY858: $i] :
            ( ~ ~ ( ~ ( circle @ SY857 @ SV58 @ SV125 @ SY856 )
                  | ~ ( perp @ SY857 @ SV58 @ SV58 @ SY858 ) )
            | ( eqangle @ SV58 @ SY858 @ SV58 @ SV125 @ SY856 @ SV58 @ SY856 @ SV125 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(444,plain,
    ! [SV126: $i,SV59: $i] :
      ( ( ! [SY859: $i,SY860: $i,SY861: $i] :
            ( ~ ~ ( ~ ( circle @ SY860 @ SV59 @ SV126 @ SY859 )
                  | ~ ( eqangle @ SV59 @ SY861 @ SV59 @ SV126 @ SY859 @ SV59 @ SY859 @ SV126 ) )
            | ( perp @ SY860 @ SV59 @ SV59 @ SY861 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[377]) ).

thf(445,plain,
    ! [SV127: $i,SV60: $i] :
      ( ( ! [SY862: $i,SY863: $i,SY864: $i,SY865: $i] :
            ( ~ ~ ( ~ ( simtri @ SV60 @ SV127 @ SY862 @ SY863 @ SY864 @ SY865 )
                  | ~ ( cong @ SV60 @ SV127 @ SY863 @ SY864 ) )
            | ( contri @ SV60 @ SV127 @ SY862 @ SY863 @ SY864 @ SY865 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[378]) ).

thf(446,plain,
    ! [SV128: $i,SV61: $i] :
      ( ( ! [SY866: $i,SY867: $i] :
            ( ~ ~ ( ~ ( coll @ SV61 @ SV128 @ SY866 )
                  | ~ ( coll @ SV61 @ SV128 @ SY867 ) )
            | ( coll @ SY866 @ SY867 @ SV61 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[379]) ).

thf(447,plain,
    ! [SV129: $i,SV62: $i] :
      ( ( ! [SY868: $i] :
            ( ~ ( midp @ SV62 @ SV129 @ SY868 )
            | ( cong @ SV62 @ SV129 @ SV62 @ SY868 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(448,plain,
    ! [SV130: $i,SV63: $i] :
      ( ( ! [SY869: $i,SY870: $i,SY871: $i,SY872: $i,SY873: $i,SY874: $i] :
            ( ~ ( eqangle @ SV63 @ SV130 @ SY869 @ SY870 @ SY871 @ SY872 @ SY873 @ SY874 )
            | ( eqangle @ SY871 @ SY872 @ SY873 @ SY874 @ SV63 @ SV130 @ SY869 @ SY870 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[381]) ).

thf(449,plain,
    ! [SV131: $i,SV64: $i] :
      ( ( ! [SY875: $i] :
            ( ~ ( para @ SV64 @ SV131 @ SV64 @ SY875 )
            | ( coll @ SV64 @ SV131 @ SY875 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[382]) ).

thf(450,plain,
    ! [SV132: $i,SV65: $i] :
      ( ( ! [SY876: $i,SY877: $i,SY878: $i,SY879: $i,SY880: $i,SY881: $i] :
            ( ~ ( eqangle @ SV65 @ SV132 @ SY876 @ SY877 @ SY878 @ SY879 @ SY880 @ SY881 )
            | ( eqangle @ SY876 @ SY877 @ SV65 @ SV132 @ SY880 @ SY881 @ SY878 @ SY879 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[383]) ).

thf(451,plain,
    ! [SV133: $i,SV66: $i] :
      ( ( ! [SY882: $i,SY883: $i] :
            ( ~ ( perp @ SV66 @ SV133 @ SY882 @ SY883 )
            | ( perp @ SY882 @ SY883 @ SV66 @ SV133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[384]) ).

thf(452,plain,
    ! [SV134: $i,SV67: $i] :
      ( ( ! [SY884: $i,SY885: $i,SY886: $i] :
            ~ ! [SY887: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SY884 @ SY885 )
                              | ~ ( para @ SV67 @ SV134 @ SY884 @ SY885 ) )
                        | ~ ( midp @ SY886 @ SV67 @ SV134 ) )
                  | ( circle @ SY887 @ SV67 @ SV134 @ SY884 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[385]) ).

thf(453,plain,
    ! [SV135: $i,SV68: $i,SV1: $i] :
      ( ( ! [SY888: $i,SY889: $i,SY890: $i] :
            ~ ! [SY891: $i] :
                ~ ~ ! [SY892: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY889 @ SV1 @ SV68 @ SV135 )
                                          | ~ ( cong @ SY889 @ SV1 @ SY889 @ SY888 ) )
                                    | ~ ( cong @ SY890 @ SV1 @ SY890 @ SV68 ) )
                              | ~ ( ( SY889 != SY890 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY891 @ SV1 @ SV135 )
                                        | ~ ( cong @ SY891 @ SY890 @ SY890 @ SV1 ) )
                                  | ~ ( coll @ SY892 @ SV68 @ SY888 ) )
                            | ~ ( cong @ SY892 @ SY890 @ SY890 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[386]) ).

thf(454,plain,
    ! [SV69: $i,SV2: $i,SV136: $i] :
      ( ( ! [SY893: $i] :
            ~ ! [SY894: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
                        | ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SY893 @ SV136 @ SY893 @ SV136 @ SV69 ) )
                  | ~ ( ~ ( coll @ SV69 @ SV2 @ SY894 )
                      | ~ ( coll @ SY894 @ SV136 @ SY893 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[387]) ).

thf(455,plain,
    ! [SV70: $i,SV137: $i,SV3: $i] :
      ( ( ! [SY895: $i,SY896: $i] :
            ~ ! [SY897: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SY895 @ SV70 @ SY896 )
                        | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
                  | ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SY897 @ SV70 @ SY897 )
                      | ~ ( cyclic @ SY895 @ SV70 @ SV137 @ SY897 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[388]) ).

thf(456,plain,
    ! [SV71: $i,SV4: $i,SV138: $i] :
      ( ( ! [SY898: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SY898 @ SV4 @ SY898 @ SV71 )
                  | ~ ~ ( coll @ SV138 @ SY898 @ SV4 ) )
            | ( cyclic @ SV4 @ SV71 @ SV138 @ SY898 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(457,plain,
    ! [SV72: $i,SV5: $i,SV139: $i] :
      ( ( ! [SY899: $i] :
            ~ ! [SY900: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV139 @ SY899 @ SV5 @ SV72 )
                        | ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SY899 @ SV139 @ SY899 @ SV139 @ SV72 ) )
                  | ~ ( ~ ( coll @ SV72 @ SV5 @ SY900 )
                      | ~ ( coll @ SY900 @ SV139 @ SY899 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(458,plain,
    ! [SV140: $i,SV73: $i,SV6: $i] :
      ( ( ! [SY901: $i,SY902: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( para @ SV6 @ SV73 @ SV140 @ SY901 )
                        | ~ ( coll @ SY902 @ SV6 @ SV140 ) )
                  | ~ ( coll @ SY902 @ SV73 @ SY901 ) )
            | ( eqratio @ SY902 @ SV6 @ SV6 @ SV140 @ SY902 @ SV73 @ SV73 @ SY901 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[391]) ).

thf(459,plain,
    ! [SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY903: $i,SY904: $i,SY905: $i,SY906: $i,SY907: $i,SY908: $i,SY909: $i,SY910: $i,SY911: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SY903 @ SY904 @ SY905 @ SY906 @ SY907 )
                  | ~ ( eqangle @ SY904 @ SY905 @ SY906 @ SY907 @ SY908 @ SY909 @ SY910 @ SY911 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SY903 @ SY908 @ SY909 @ SY910 @ SY911 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(460,plain,
    ! [SV75: $i,SV142: $i,SV8: $i] :
      ( ( ! [SY912: $i] :
            ~ ! [SY913: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
                        | ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SY912 ) )
                  | ( circle @ SY913 @ SV8 @ SV75 @ SV142 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[393]) ).

thf(461,plain,
    ! [SV76: $i,SV9: $i] :
      ( ( ! [SY701: $i,SY702: $i,SY703: $i,SY704: $i] :
            ~ ! [SY705: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY704 @ SV9 @ SV76 )
                                    | ~ ( para @ SV9 @ SY701 @ SY703 @ SY704 ) )
                              | ~ ( para @ SV9 @ SY701 @ SV76 @ SY702 ) )
                        | ~ ( coll @ SY701 @ SY702 @ SY703 ) )
                  | ~ ( ~ ( coll @ SY705 @ SV9 @ SY702 )
                      | ~ ( coll @ SY705 @ SY704 @ SY703 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(462,plain,
    ! [SV144: $i,SV77: $i,SV10: $i] :
      ( ( ~ ( coll @ SV10 @ SV77 @ SV144 )
        | ( coll @ SV10 @ SV144 @ SV77 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[395]) ).

thf(463,plain,
    ! [SV145: $i,SV78: $i,SV11: $i] :
      ( ( ! [SY919: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV11 @ SV78 @ SV145 @ SY919 @ SV145 @ SY919 @ SV11 @ SV78 )
                  | ~ ~ ( para @ SV11 @ SV78 @ SV145 @ SY919 ) )
            | ( perp @ SV11 @ SV78 @ SV145 @ SY919 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(464,plain,
    ! [SV146: $i,SV79: $i,SV12: $i] :
      ( ( ! [SY920: $i,SY921: $i,SY922: $i] :
            ( ~ ( para @ SV12 @ SV79 @ SV146 @ SY920 )
            | ( eqangle @ SV12 @ SV79 @ SY921 @ SY922 @ SV146 @ SY920 @ SY921 @ SY922 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[397]) ).

thf(465,plain,
    ! [SV147: $i,SV80: $i,SV13: $i] :
      ( ( ! [SY923: $i] :
            ( ~ ( cong @ SV13 @ SV80 @ SV147 @ SY923 )
            | ( cong @ SV147 @ SY923 @ SV13 @ SV80 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(466,plain,
    ! [SV148: $i,SV81: $i,SV14: $i] :
      ( ( ! [SY924: $i] :
            ( ~ ~ ( ~ ( cyclic @ SV14 @ SV81 @ SV148 @ SY924 )
                  | ~ ( para @ SV14 @ SV81 @ SV148 @ SY924 ) )
            | ( eqangle @ SV14 @ SY924 @ SV148 @ SY924 @ SV148 @ SY924 @ SV148 @ SV81 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[399]) ).

thf(467,plain,
    ! [SV149: $i,SV82: $i,SV15: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV15 @ SV82 @ SV15 @ SV149 )
              | ~ ( coll @ SV15 @ SV82 @ SV149 ) )
        | ( midp @ SV15 @ SV82 @ SV149 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[400]) ).

thf(468,plain,
    ! [SV83: $i,SV16: $i,SV150: $i] :
      ( ( ~ ( cong @ SV150 @ SV16 @ SV150 @ SV83 )
        | ( eqangle @ SV150 @ SV16 @ SV16 @ SV83 @ SV16 @ SV83 @ SV150 @ SV83 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(469,plain,
    ! [SV151: $i,SV84: $i,SV17: $i] :
      ( ( ! [SY925: $i,SY926: $i,SY927: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SY925 @ SY926 @ SY926 @ SY927 )
                        | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SY925 @ SY927 @ SY926 @ SY927 ) )
                  | ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
            | ( simtri @ SV17 @ SV84 @ SV151 @ SY925 @ SY926 @ SY927 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(470,plain,
    ! [SV152: $i,SV85: $i,SV18: $i] :
      ( ( ! [SY928: $i] :
            ( ~ ( cyclic @ SV18 @ SV85 @ SV152 @ SY928 )
            | ( eqangle @ SV152 @ SV18 @ SV152 @ SV85 @ SY928 @ SV18 @ SY928 @ SV85 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(471,plain,
    ! [SV153: $i,SV86: $i,SV19: $i] :
      ( ( ! [SY929: $i,SY930: $i,SY931: $i,SY932: $i,SY933: $i] :
            ( ~ ( eqangle @ SV19 @ SV86 @ SV153 @ SY929 @ SY930 @ SY931 @ SY932 @ SY933 )
            | ( eqangle @ SV19 @ SV86 @ SY930 @ SY931 @ SV153 @ SY929 @ SY932 @ SY933 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(472,plain,
    ! [SV154: $i,SV87: $i,SV20: $i] :
      ( ( ! [SY934: $i] :
            ~ ! [SY935: $i] :
                ~ ~ ! [SY936: $i] :
                      ~ ( ~ ~ ( ~ ( perp @ SV20 @ SY934 @ SV87 @ SV154 )
                              | ~ ( perp @ SV87 @ SY934 @ SV20 @ SV154 ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY935 @ SV154 @ SV87 )
                                        | ~ ( perp @ SV20 @ SY935 @ SV154 @ SV87 ) )
                                  | ~ ( coll @ SY936 @ SV154 @ SV20 ) )
                            | ~ ( perp @ SV87 @ SY936 @ SV154 @ SV20 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[405]) ).

thf(473,plain,
    ! [SV88: $i,SV21: $i,SV155: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV155 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SV155 @ SV88 )
              | ~ ~ ( coll @ SV155 @ SV21 @ SV88 ) )
        | ( cong @ SV155 @ SV21 @ SV155 @ SV88 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[406]) ).

thf(474,plain,
    ! [SV156: $i,SV89: $i,SV22: $i] :
      ( ( ! [SY937: $i,SY938: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SY937 @ SV22 @ SV89 )
                        | ~ ( para @ SY937 @ SY938 @ SV89 @ SV156 ) )
                  | ~ ( coll @ SY938 @ SV22 @ SV156 ) )
            | ( midp @ SY938 @ SV22 @ SV156 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[407]) ).

thf(475,plain,
    ! [SV157: $i,SV90: $i,SV23: $i] :
      ( ( ! [SY939: $i] :
            ( ~ ~ ( ~ ( circle @ SY939 @ SV23 @ SV90 @ SV157 )
                  | ~ ( coll @ SY939 @ SV23 @ SV157 ) )
            | ( perp @ SV23 @ SV90 @ SV90 @ SV157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(476,plain,
    ! [SV158: $i,SV91: $i,SV24: $i] :
      ( ( ! [SY940: $i,SY941: $i,SY942: $i] :
            ( ~ ( contri @ SV24 @ SV91 @ SV158 @ SY940 @ SY941 @ SY942 )
            | ( cong @ SV24 @ SV91 @ SY940 @ SY941 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[409]) ).

thf(477,plain,
    ! [SV159: $i,SV92: $i,SV25: $i] :
      ( ( ! [SY943: $i,SY944: $i] :
            ( ~ ~ ( ~ ( circle @ SY943 @ SV25 @ SV92 @ SV159 )
                  | ~ ( midp @ SY944 @ SV92 @ SV159 ) )
            | ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SY943 @ SV92 @ SY943 @ SY944 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(478,plain,
    ! [SV160: $i,SV93: $i,SV26: $i] :
      ( ( ! [SY945: $i] :
            ( ~ ~ ( ~ ( cong @ SY945 @ SV26 @ SY945 @ SV93 )
                  | ~ ( cong @ SY945 @ SV26 @ SY945 @ SV160 ) )
            | ( circle @ SY945 @ SV26 @ SV93 @ SV160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[411]) ).

thf(479,plain,
    ! [SV161: $i,SV94: $i,SV27: $i] :
      ( ( ! [SY946: $i,SY947: $i,SY948: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SY946 )
                              | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SY947 ) )
                        | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SY948 ) )
                  | ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SY948 @ SY946 @ SY948 @ SY947 ) )
            | ( cong @ SV27 @ SV94 @ SY946 @ SY947 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[412]) ).

thf(480,plain,
    ! [SV162: $i,SV95: $i,SV28: $i] :
      ( ( ~ ( coll @ SV28 @ SV95 @ SV162 )
        | ( coll @ SV95 @ SV28 @ SV162 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[413]) ).

thf(481,plain,
    ! [SV163: $i,SV96: $i,SV29: $i] :
      ( ( ! [SY949: $i,SY950: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SY949 @ SV29 @ SV96 @ SV163 )
                        | ~ ( coll @ SY950 @ SV96 @ SV163 ) )
                  | ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SY949 @ SV96 @ SY949 @ SY950 ) )
            | ( midp @ SY950 @ SV96 @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(482,plain,
    ! [SV164: $i,SV97: $i,SV30: $i] :
      ( ( ! [SY951: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV30 @ SV97 @ SV164 @ SY951 @ SV164 @ SY951 @ SV30 @ SV97 )
                  | ~ ~ ( perp @ SV30 @ SV97 @ SV164 @ SY951 ) )
            | ( para @ SV30 @ SV97 @ SV164 @ SY951 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[415]) ).

thf(483,plain,
    ! [SV165: $i,SV98: $i,SV31: $i] :
      ( ( ! [SY952: $i,SY953: $i,SY954: $i,SY955: $i] :
            ~ ! [SY956: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY953 @ SV31 @ SV98 )
                                    | ~ ( midp @ SY954 @ SV165 @ SY952 ) )
                              | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
                        | ~ ( coll @ SY952 @ SV31 @ SV98 ) )
                  | ( midp @ SY956 @ SV31 @ SY955 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[416]) ).

thf(484,plain,
    ! [SV166: $i,SV99: $i,SV32: $i] :
      ( ( ! [SY957: $i,SY958: $i,SY959: $i] :
            ( ~ ~ ( ~ ( para @ SV32 @ SV99 @ SV166 @ SY957 )
                  | ~ ( perp @ SV166 @ SY957 @ SY958 @ SY959 ) )
            | ( perp @ SV32 @ SV99 @ SY958 @ SY959 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[417]) ).

thf(485,plain,
    ! [SV167: $i,SV100: $i,SV33: $i] :
      ( ( ~ ( midp @ SV33 @ SV100 @ SV167 )
        | ( coll @ SV33 @ SV100 @ SV167 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[418]) ).

thf(486,plain,
    ! [SV168: $i,SV101: $i,SV34: $i] :
      ( ( ! [SY960: $i,SY961: $i,SY962: $i] :
            ( ~ ( simtri @ SV34 @ SV101 @ SV168 @ SY960 @ SY961 @ SY962 )
            | ( eqangle @ SV34 @ SV101 @ SV101 @ SV168 @ SY960 @ SY961 @ SY961 @ SY962 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(487,plain,
    ! [SV102: $i,SV169: $i,SV35: $i] :
      ( ( ! [SY963: $i,SY964: $i] :
            ~ ! [SY965: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
                        | ~ ( coll @ SV102 @ SY963 @ SY964 ) )
                  | ~ ( ~ ( coll @ SY965 @ SY963 @ SY964 )
                      | ~ ( perp @ SY965 @ SV35 @ SY963 @ SY964 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[420]) ).

thf(488,plain,
    ! [SV170: $i,SV103: $i,SV36: $i] :
      ( ( ! [SY966: $i,SY967: $i,SY968: $i] :
            ( ~ ~ ( ~ ( perp @ SV36 @ SV103 @ SV170 @ SY966 )
                  | ~ ( perp @ SV170 @ SY966 @ SY967 @ SY968 ) )
            | ( para @ SV36 @ SV103 @ SY967 @ SY968 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(489,plain,
    ! [SV104: $i,SV171: $i,SV37: $i] :
      ( ( ! [SY969: $i] :
            ( ~ ~ ( ~ ( cong @ SV37 @ SV171 @ SV104 @ SV171 )
                  | ~ ( cong @ SV37 @ SY969 @ SV104 @ SY969 ) )
            | ( perp @ SV37 @ SV104 @ SV171 @ SY969 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[422]) ).

thf(490,plain,
    ! [SV172: $i,SV105: $i,SV38: $i] :
      ( ( ! [SY970: $i,SY971: $i,SY972: $i] :
            ( ~ ~ ( ~ ( cong @ SV38 @ SV105 @ SV172 @ SY970 )
                  | ~ ( cong @ SV172 @ SY970 @ SY971 @ SY972 ) )
            | ( cong @ SV38 @ SV105 @ SY971 @ SY972 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[423]) ).

thf(491,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ~ ! [SY973: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
                      | ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) )
                | ~ ( ~ ( coll @ SV39 @ SV173 @ SY973 )
                    | ~ ( cong @ SV173 @ SV39 @ SV173 @ SY973 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(492,plain,
    ! [SV174: $i,SV107: $i,SV40: $i] :
      ( ( ! [SY974: $i,SY975: $i,SY976: $i] :
            ~ ! [SY977: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SY974 )
                                    | ~ ( coll @ SY975 @ SV40 @ SV174 ) )
                              | ~ ( coll @ SY975 @ SV107 @ SY974 ) )
                        | ~ ( coll @ SY976 @ SV40 @ SV107 ) )
                  | ~ ( ~ ( coll @ SY975 @ SY976 @ SY977 )
                      | ~ ( coll @ SY977 @ SV174 @ SY974 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(493,plain,
    ! [SV175: $i,SV108: $i,SV41: $i] :
      ( ( ! [SY978: $i,SY979: $i,SY980: $i,SY981: $i,SY982: $i] :
            ( ~ ( eqangle @ SV41 @ SV108 @ SV175 @ SY978 @ SY979 @ SY980 @ SY981 @ SY982 )
            | ( eqangle @ SV108 @ SV41 @ SV175 @ SY978 @ SY979 @ SY980 @ SY981 @ SY982 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(494,plain,
    ! [SV176: $i,SV109: $i,SV42: $i] :
      ( ( ! [SY983: $i] :
            ( ~ ~ ( ~ ( perp @ SV42 @ SV109 @ SV109 @ SV176 )
                  | ~ ( midp @ SY983 @ SV42 @ SV176 ) )
            | ( cong @ SV42 @ SY983 @ SV109 @ SY983 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(495,plain,
    ! [SV110: $i,SV43: $i,SV177: $i] :
      ( ( ! [SY984: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV177 @ SV43 @ SV177 @ SV110 @ SY984 @ SV43 @ SY984 @ SV110 )
                  | ~ ( coll @ SV177 @ SY984 @ SV110 ) )
            | ( cyclic @ SV43 @ SV110 @ SV177 @ SY984 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(496,plain,
    ! [SV178: $i,SV111: $i,SV44: $i] :
      ( ( ! [SY985: $i,SY986: $i,SY987: $i,SY988: $i,SY989: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SY985 @ SY986 @ SY987 @ SY988 @ SY989 )
                  | ~ ( perp @ SY986 @ SY987 @ SY988 @ SY989 ) )
            | ( perp @ SV44 @ SV111 @ SV178 @ SY985 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(497,plain,
    ! [SV45: $i,SV112: $i,SV179: $i] :
      ( ( ! [SY990: $i] :
            ~ ! [SY991: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
                        | ~ ( eqangle @ SY990 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) )
                  | ~ ( ~ ( coll @ SY991 @ SV45 @ SV112 )
                      | ~ ( coll @ SY991 @ SV179 @ SY990 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[430]) ).

thf(498,plain,
    ! [SV180: $i,SV113: $i,SV46: $i] :
      ( ( ! [SY992: $i,SY993: $i,SY994: $i,SY995: $i,SY996: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SY992 @ SY993 @ SY994 @ SY995 @ SY996 )
                  | ~ ( cong @ SY993 @ SY994 @ SY995 @ SY996 ) )
            | ( cong @ SV46 @ SV113 @ SV180 @ SY992 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(499,plain,
    ! [SV114: $i,SV47: $i,SV181: $i] :
      ( ( ! [SY997: $i] :
            ( ~ ~ ( ~ ( midp @ SV181 @ SV47 @ SV114 )
                  | ~ ( perp @ SY997 @ SV181 @ SV47 @ SV114 ) )
            | ( cong @ SY997 @ SV47 @ SY997 @ SV114 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(500,plain,
    ! [SV182: $i,SV115: $i,SV48: $i] :
      ( ( ! [SY998: $i] :
            ( ~ ( cong @ SV48 @ SV115 @ SV182 @ SY998 )
            | ( cong @ SV48 @ SV115 @ SY998 @ SV182 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(501,plain,
    ! [SV183: $i,SV116: $i,SV49: $i] :
      ( ( ! [SY999: $i,SY1000: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SY1000 @ SV49 @ SY1000 @ SV116 )
                        | ~ ( cong @ SY1000 @ SV49 @ SY1000 @ SV183 ) )
                  | ~ ( cong @ SY1000 @ SV49 @ SY1000 @ SY999 ) )
            | ( cyclic @ SV49 @ SV116 @ SV183 @ SY999 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(502,plain,
    ! [SV184: $i,SV117: $i,SV50: $i] :
      ( ( ! [SY1001: $i,SY1002: $i,SY1003: $i,SY1004: $i,SY1005: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SY1001 @ SY1002 @ SY1003 @ SY1004 @ SY1005 )
                  | ~ ( para @ SY1002 @ SY1003 @ SY1004 @ SY1005 ) )
            | ( para @ SV50 @ SV117 @ SV184 @ SY1001 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[435]) ).

thf(503,plain,
    ! [SV185: $i,SV118: $i,SV51: $i] :
      ( ( ! [SY1006: $i] :
            ~ ! [SY1007: $i] :
                ~ ( ~ ( circle @ SY1006 @ SV51 @ SV118 @ SV185 )
                  | ( perp @ SY1007 @ SV51 @ SV51 @ SY1006 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(504,plain,
    ! [SV186: $i,SV119: $i,SV52: $i] :
      ( ( ! [SY1008: $i] :
            ( ~ ( perp @ SV52 @ SV119 @ SV186 @ SY1008 )
            | ( perp @ SV52 @ SV119 @ SY1008 @ SV186 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[437]) ).

thf(505,plain,
    ! [SV120: $i,SV187: $i,SV53: $i] :
      ( ( ! [SY1009: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
                        | ~ ( cong @ SV53 @ SY1009 @ SV120 @ SY1009 ) )
                  | ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SY1009 ) )
            | ( perp @ SV187 @ SV53 @ SV53 @ SY1009 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[438]) ).

thf(506,plain,
    ! [SV121: $i,SV54: $i,SV188: $i] :
      ( ( ! [SY1010: $i] :
            ~ ! [SY1011: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV188 @ SY1010 @ SV54 @ SV121 )
                        | ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) )
                  | ~ ( ~ ( coll @ SV121 @ SV54 @ SY1011 )
                      | ~ ( coll @ SY1011 @ SV188 @ SY1010 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[439]) ).

thf(507,plain,
    ! [SV189: $i,SV122: $i,SV55: $i] :
      ( ( ! [SY1012: $i,SY1013: $i] :
            ~ ! [SY1014: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                              | ~ ( perp @ SV189 @ SV55 @ SV189 @ SY1012 ) )
                        | ~ ( midp @ SY1013 @ SV122 @ SY1012 ) )
                  | ( midp @ SY1014 @ SV55 @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[440]) ).

thf(508,plain,
    ! [SV190: $i,SV123: $i,SV56: $i] :
      ( ( ! [SY1015: $i,SY1016: $i,SY1017: $i] :
            ( ~ ( eqangle @ SV56 @ SV123 @ SY1016 @ SY1017 @ SV190 @ SY1015 @ SY1016 @ SY1017 )
            | ( para @ SV56 @ SV123 @ SV190 @ SY1015 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(509,plain,
    ! [SV124: $i,SV57: $i,SV191: $i] :
      ( ( ! [SY1018: $i,SY1019: $i] :
            ~ ! [SY1020: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY1019 @ SV191 @ SY1019 @ SY1018 )
                        | ~ ( perp @ SV57 @ SV124 @ SV124 @ SY1019 ) )
                  | ~ ( ~ ~ ( ~ ( cong @ SY1019 @ SV191 @ SY1019 @ SY1020 )
                            | ~ ( para @ SY1020 @ SV191 @ SV57 @ SV124 ) )
                      | ~ ( cong @ SV124 @ SV191 @ SV124 @ SY1020 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[442]) ).

thf(510,plain,
    ! [SV192: $i,SV125: $i,SV58: $i] :
      ( ( ! [SY1021: $i,SY1022: $i] :
            ( ~ ~ ( ~ ( circle @ SY1021 @ SV58 @ SV125 @ SV192 )
                  | ~ ( perp @ SY1021 @ SV58 @ SV58 @ SY1022 ) )
            | ( eqangle @ SV58 @ SY1022 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(511,plain,
    ! [SV193: $i,SV126: $i,SV59: $i] :
      ( ( ! [SY1023: $i,SY1024: $i] :
            ( ~ ~ ( ~ ( circle @ SY1023 @ SV59 @ SV126 @ SV193 )
                  | ~ ( eqangle @ SV59 @ SY1024 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 ) )
            | ( perp @ SY1023 @ SV59 @ SV59 @ SY1024 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(512,plain,
    ! [SV194: $i,SV127: $i,SV60: $i] :
      ( ( ! [SY1025: $i,SY1026: $i,SY1027: $i] :
            ( ~ ~ ( ~ ( simtri @ SV60 @ SV127 @ SV194 @ SY1025 @ SY1026 @ SY1027 )
                  | ~ ( cong @ SV60 @ SV127 @ SY1025 @ SY1026 ) )
            | ( contri @ SV60 @ SV127 @ SV194 @ SY1025 @ SY1026 @ SY1027 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(513,plain,
    ! [SV195: $i,SV128: $i,SV61: $i] :
      ( ( ! [SY1028: $i] :
            ( ~ ~ ( ~ ( coll @ SV61 @ SV128 @ SV195 )
                  | ~ ( coll @ SV61 @ SV128 @ SY1028 ) )
            | ( coll @ SV195 @ SY1028 @ SV61 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(514,plain,
    ! [SV196: $i,SV129: $i,SV62: $i] :
      ( ( ~ ( midp @ SV62 @ SV129 @ SV196 )
        | ( cong @ SV62 @ SV129 @ SV62 @ SV196 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[447]) ).

thf(515,plain,
    ! [SV197: $i,SV130: $i,SV63: $i] :
      ( ( ! [SY1029: $i,SY1030: $i,SY1031: $i,SY1032: $i,SY1033: $i] :
            ( ~ ( eqangle @ SV63 @ SV130 @ SV197 @ SY1029 @ SY1030 @ SY1031 @ SY1032 @ SY1033 )
            | ( eqangle @ SY1030 @ SY1031 @ SY1032 @ SY1033 @ SV63 @ SV130 @ SV197 @ SY1029 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[448]) ).

thf(516,plain,
    ! [SV198: $i,SV131: $i,SV64: $i] :
      ( ( ~ ( para @ SV64 @ SV131 @ SV64 @ SV198 )
        | ( coll @ SV64 @ SV131 @ SV198 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[449]) ).

thf(517,plain,
    ! [SV199: $i,SV132: $i,SV65: $i] :
      ( ( ! [SY1034: $i,SY1035: $i,SY1036: $i,SY1037: $i,SY1038: $i] :
            ( ~ ( eqangle @ SV65 @ SV132 @ SV199 @ SY1034 @ SY1035 @ SY1036 @ SY1037 @ SY1038 )
            | ( eqangle @ SV199 @ SY1034 @ SV65 @ SV132 @ SY1037 @ SY1038 @ SY1035 @ SY1036 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(518,plain,
    ! [SV200: $i,SV133: $i,SV66: $i] :
      ( ( ! [SY1039: $i] :
            ( ~ ( perp @ SV66 @ SV133 @ SV200 @ SY1039 )
            | ( perp @ SV200 @ SY1039 @ SV66 @ SV133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(519,plain,
    ! [SV201: $i,SV134: $i,SV67: $i] :
      ( ( ! [SY1040: $i,SY1041: $i] :
            ~ ! [SY1042: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SY1040 )
                              | ~ ( para @ SV67 @ SV134 @ SV201 @ SY1040 ) )
                        | ~ ( midp @ SY1041 @ SV67 @ SV134 ) )
                  | ( circle @ SY1042 @ SV67 @ SV134 @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(520,plain,
    ! [SV202: $i,SV135: $i,SV68: $i,SV1: $i] :
      ( ( ! [SY1043: $i,SY1044: $i] :
            ~ ! [SY1045: $i] :
                ~ ~ ! [SY1046: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY1043 @ SV1 @ SV68 @ SV135 )
                                          | ~ ( cong @ SY1043 @ SV1 @ SY1043 @ SV202 ) )
                                    | ~ ( cong @ SY1044 @ SV1 @ SY1044 @ SV68 ) )
                              | ~ ( ( SY1043 != SY1044 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1045 @ SV1 @ SV135 )
                                        | ~ ( cong @ SY1045 @ SY1044 @ SY1044 @ SV1 ) )
                                  | ~ ( coll @ SY1046 @ SV68 @ SV202 ) )
                            | ~ ( cong @ SY1046 @ SY1044 @ SY1044 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(521,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ~ ! [SY1047: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
                      | ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) )
                | ~ ( ~ ( coll @ SV69 @ SV2 @ SY1047 )
                    | ~ ( coll @ SY1047 @ SV136 @ SV203 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[454]) ).

thf(522,plain,
    ! [SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ! [SY1048: $i] :
            ~ ! [SY1049: $i] :
                ~ ( ~ ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SY1048 )
                        | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
                  | ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SY1049 @ SV70 @ SY1049 )
                      | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ SY1049 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[455]) ).

thf(523,plain,
    ! [SV205: $i,SV71: $i,SV4: $i,SV138: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SV205 @ SV4 @ SV205 @ SV71 )
              | ~ ~ ( coll @ SV138 @ SV205 @ SV4 ) )
        | ( cyclic @ SV4 @ SV71 @ SV138 @ SV205 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[456]) ).

thf(524,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ~ ! [SY1050: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
                      | ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) )
                | ~ ( ~ ( coll @ SV72 @ SV5 @ SY1050 )
                    | ~ ( coll @ SY1050 @ SV139 @ SV206 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[457]) ).

thf(525,plain,
    ! [SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ! [SY1051: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 )
                        | ~ ( coll @ SY1051 @ SV6 @ SV140 ) )
                  | ~ ( coll @ SY1051 @ SV73 @ SV207 ) )
            | ( eqratio @ SY1051 @ SV6 @ SV6 @ SV140 @ SY1051 @ SV73 @ SV73 @ SV207 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(526,plain,
    ! [SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY1052: $i,SY1053: $i,SY1054: $i,SY1055: $i,SY1056: $i,SY1057: $i,SY1058: $i,SY1059: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SY1052 @ SY1053 @ SY1054 @ SY1055 )
                  | ~ ( eqangle @ SY1052 @ SY1053 @ SY1054 @ SY1055 @ SY1056 @ SY1057 @ SY1058 @ SY1059 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SY1056 @ SY1057 @ SY1058 @ SY1059 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[459]) ).

thf(527,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ~ ! [SY1060: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
                      | ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) )
                | ( circle @ SY1060 @ SV8 @ SV75 @ SV142 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[460]) ).

thf(528,plain,
    ! [SV210: $i,SV76: $i,SV9: $i] :
      ( ( ! [SY1061: $i,SY1062: $i,SY1063: $i] :
            ~ ! [SY1064: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1063 @ SV9 @ SV76 )
                                    | ~ ( para @ SV9 @ SV210 @ SY1062 @ SY1063 ) )
                              | ~ ( para @ SV9 @ SV210 @ SV76 @ SY1061 ) )
                        | ~ ( coll @ SV210 @ SY1061 @ SY1062 ) )
                  | ~ ( ~ ( coll @ SY1064 @ SV9 @ SY1061 )
                      | ~ ( coll @ SY1064 @ SY1063 @ SY1062 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[461]) ).

thf(529,plain,
    ! [SV144: $i,SV77: $i,SV10: $i] :
      ( ( ( ~ ( coll @ SV10 @ SV77 @ SV144 ) )
        = $true )
      | ( ( coll @ SV10 @ SV144 @ SV77 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[462]) ).

thf(530,plain,
    ! [SV211: $i,SV145: $i,SV78: $i,SV11: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV11 @ SV78 @ SV145 @ SV211 @ SV145 @ SV211 @ SV11 @ SV78 )
              | ~ ~ ( para @ SV11 @ SV78 @ SV145 @ SV211 ) )
        | ( perp @ SV11 @ SV78 @ SV145 @ SV211 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(531,plain,
    ! [SV212: $i,SV146: $i,SV79: $i,SV12: $i] :
      ( ( ! [SY1065: $i,SY1066: $i] :
            ( ~ ( para @ SV12 @ SV79 @ SV146 @ SV212 )
            | ( eqangle @ SV12 @ SV79 @ SY1065 @ SY1066 @ SV146 @ SV212 @ SY1065 @ SY1066 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[464]) ).

thf(532,plain,
    ! [SV213: $i,SV147: $i,SV80: $i,SV13: $i] :
      ( ( ~ ( cong @ SV13 @ SV80 @ SV147 @ SV213 )
        | ( cong @ SV147 @ SV213 @ SV13 @ SV80 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[465]) ).

thf(533,plain,
    ! [SV214: $i,SV148: $i,SV81: $i,SV14: $i] :
      ( ( ~ ~ ( ~ ( cyclic @ SV14 @ SV81 @ SV148 @ SV214 )
              | ~ ( para @ SV14 @ SV81 @ SV148 @ SV214 ) )
        | ( eqangle @ SV14 @ SV214 @ SV148 @ SV214 @ SV148 @ SV214 @ SV148 @ SV81 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[466]) ).

thf(534,plain,
    ! [SV149: $i,SV82: $i,SV15: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV15 @ SV82 @ SV15 @ SV149 )
                | ~ ( coll @ SV15 @ SV82 @ SV149 ) ) )
        = $true )
      | ( ( midp @ SV15 @ SV82 @ SV149 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[467]) ).

thf(535,plain,
    ! [SV83: $i,SV16: $i,SV150: $i] :
      ( ( ( ~ ( cong @ SV150 @ SV16 @ SV150 @ SV83 ) )
        = $true )
      | ( ( eqangle @ SV150 @ SV16 @ SV16 @ SV83 @ SV16 @ SV83 @ SV150 @ SV83 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[468]) ).

thf(536,plain,
    ! [SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ! [SY1067: $i,SY1068: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SY1067 @ SY1067 @ SY1068 )
                        | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SY1068 @ SY1067 @ SY1068 ) )
                  | ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
            | ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SY1067 @ SY1068 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(537,plain,
    ! [SV216: $i,SV152: $i,SV85: $i,SV18: $i] :
      ( ( ~ ( cyclic @ SV18 @ SV85 @ SV152 @ SV216 )
        | ( eqangle @ SV152 @ SV18 @ SV152 @ SV85 @ SV216 @ SV18 @ SV216 @ SV85 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(538,plain,
    ! [SV217: $i,SV153: $i,SV86: $i,SV19: $i] :
      ( ( ! [SY1069: $i,SY1070: $i,SY1071: $i,SY1072: $i] :
            ( ~ ( eqangle @ SV19 @ SV86 @ SV153 @ SV217 @ SY1069 @ SY1070 @ SY1071 @ SY1072 )
            | ( eqangle @ SV19 @ SV86 @ SY1069 @ SY1070 @ SV153 @ SV217 @ SY1071 @ SY1072 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(539,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ~ ! [SY1073: $i] :
              ~ ~ ! [SY1074: $i] :
                    ~ ( ~ ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
                            | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1073 @ SV154 @ SV87 )
                                      | ~ ( perp @ SV20 @ SY1073 @ SV154 @ SV87 ) )
                                | ~ ( coll @ SY1074 @ SV154 @ SV20 ) )
                          | ~ ( perp @ SV87 @ SY1074 @ SV154 @ SV20 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[472]) ).

thf(540,plain,
    ! [SV88: $i,SV21: $i,SV155: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV155 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SV155 @ SV88 )
                | ~ ~ ( coll @ SV155 @ SV21 @ SV88 ) ) )
        = $true )
      | ( ( cong @ SV155 @ SV21 @ SV155 @ SV88 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[473]) ).

thf(541,plain,
    ! [SV156: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ! [SY1075: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( midp @ SV219 @ SV22 @ SV89 )
                        | ~ ( para @ SV219 @ SY1075 @ SV89 @ SV156 ) )
                  | ~ ( coll @ SY1075 @ SV22 @ SV156 ) )
            | ( midp @ SY1075 @ SV22 @ SV156 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[474]) ).

thf(542,plain,
    ! [SV157: $i,SV90: $i,SV23: $i,SV220: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV220 @ SV23 @ SV90 @ SV157 )
              | ~ ( coll @ SV220 @ SV23 @ SV157 ) )
        | ( perp @ SV23 @ SV90 @ SV90 @ SV157 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[475]) ).

thf(543,plain,
    ! [SV221: $i,SV158: $i,SV91: $i,SV24: $i] :
      ( ( ! [SY1076: $i,SY1077: $i] :
            ( ~ ( contri @ SV24 @ SV91 @ SV158 @ SV221 @ SY1076 @ SY1077 )
            | ( cong @ SV24 @ SV91 @ SV221 @ SY1076 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[476]) ).

thf(544,plain,
    ! [SV159: $i,SV92: $i,SV25: $i,SV222: $i] :
      ( ( ! [SY1078: $i] :
            ( ~ ~ ( ~ ( circle @ SV222 @ SV25 @ SV92 @ SV159 )
                  | ~ ( midp @ SY1078 @ SV92 @ SV159 ) )
            | ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SV222 @ SV92 @ SV222 @ SY1078 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(545,plain,
    ! [SV160: $i,SV93: $i,SV26: $i,SV223: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV223 @ SV26 @ SV223 @ SV93 )
              | ~ ( cong @ SV223 @ SV26 @ SV223 @ SV160 ) )
        | ( circle @ SV223 @ SV26 @ SV93 @ SV160 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[478]) ).

thf(546,plain,
    ! [SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ! [SY1079: $i,SY1080: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                              | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SY1079 ) )
                        | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SY1080 ) )
                  | ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SY1080 @ SV224 @ SY1080 @ SY1079 ) )
            | ( cong @ SV27 @ SV94 @ SV224 @ SY1079 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(547,plain,
    ! [SV162: $i,SV95: $i,SV28: $i] :
      ( ( ( ~ ( coll @ SV28 @ SV95 @ SV162 ) )
        = $true )
      | ( ( coll @ SV95 @ SV28 @ SV162 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[480]) ).

thf(548,plain,
    ! [SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ! [SY1081: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
                        | ~ ( coll @ SY1081 @ SV96 @ SV163 ) )
                  | ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SY1081 ) )
            | ( midp @ SY1081 @ SV96 @ SV163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[481]) ).

thf(549,plain,
    ! [SV226: $i,SV164: $i,SV97: $i,SV30: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV30 @ SV97 @ SV164 @ SV226 @ SV164 @ SV226 @ SV30 @ SV97 )
              | ~ ~ ( perp @ SV30 @ SV97 @ SV164 @ SV226 ) )
        | ( para @ SV30 @ SV97 @ SV164 @ SV226 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[482]) ).

thf(550,plain,
    ! [SV227: $i,SV165: $i,SV98: $i,SV31: $i] :
      ( ( ! [SY1082: $i,SY1083: $i,SY1084: $i] :
            ~ ! [SY1085: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1082 @ SV31 @ SV98 )
                                    | ~ ( midp @ SY1083 @ SV165 @ SV227 ) )
                              | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
                        | ~ ( coll @ SV227 @ SV31 @ SV98 ) )
                  | ( midp @ SY1085 @ SV31 @ SY1084 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[483]) ).

thf(551,plain,
    ! [SV228: $i,SV166: $i,SV99: $i,SV32: $i] :
      ( ( ! [SY1086: $i,SY1087: $i] :
            ( ~ ~ ( ~ ( para @ SV32 @ SV99 @ SV166 @ SV228 )
                  | ~ ( perp @ SV166 @ SV228 @ SY1086 @ SY1087 ) )
            | ( perp @ SV32 @ SV99 @ SY1086 @ SY1087 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[484]) ).

thf(552,plain,
    ! [SV167: $i,SV100: $i,SV33: $i] :
      ( ( ( ~ ( midp @ SV33 @ SV100 @ SV167 ) )
        = $true )
      | ( ( coll @ SV33 @ SV100 @ SV167 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[485]) ).

thf(553,plain,
    ! [SV229: $i,SV168: $i,SV101: $i,SV34: $i] :
      ( ( ! [SY1088: $i,SY1089: $i] :
            ( ~ ( simtri @ SV34 @ SV101 @ SV168 @ SV229 @ SY1088 @ SY1089 )
            | ( eqangle @ SV34 @ SV101 @ SV101 @ SV168 @ SV229 @ SY1088 @ SY1088 @ SY1089 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[486]) ).

thf(554,plain,
    ! [SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ! [SY1090: $i] :
            ~ ! [SY1091: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
                        | ~ ( coll @ SV102 @ SV230 @ SY1090 ) )
                  | ~ ( ~ ( coll @ SY1091 @ SV230 @ SY1090 )
                      | ~ ( perp @ SY1091 @ SV35 @ SV230 @ SY1090 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(555,plain,
    ! [SV231: $i,SV170: $i,SV103: $i,SV36: $i] :
      ( ( ! [SY1092: $i,SY1093: $i] :
            ( ~ ~ ( ~ ( perp @ SV36 @ SV103 @ SV170 @ SV231 )
                  | ~ ( perp @ SV170 @ SV231 @ SY1092 @ SY1093 ) )
            | ( para @ SV36 @ SV103 @ SY1092 @ SY1093 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(556,plain,
    ! [SV232: $i,SV104: $i,SV171: $i,SV37: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV37 @ SV171 @ SV104 @ SV171 )
              | ~ ( cong @ SV37 @ SV232 @ SV104 @ SV232 ) )
        | ( perp @ SV37 @ SV104 @ SV171 @ SV232 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[489]) ).

thf(557,plain,
    ! [SV233: $i,SV172: $i,SV105: $i,SV38: $i] :
      ( ( ! [SY1094: $i,SY1095: $i] :
            ( ~ ~ ( ~ ( cong @ SV38 @ SV105 @ SV172 @ SV233 )
                  | ~ ( cong @ SV172 @ SV233 @ SY1094 @ SY1095 ) )
            | ( cong @ SV38 @ SV105 @ SY1094 @ SY1095 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[490]) ).

thf(558,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ! [SY973: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
                    | ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) )
              | ~ ( ~ ( coll @ SV39 @ SV173 @ SY973 )
                  | ~ ( cong @ SV173 @ SV39 @ SV173 @ SY973 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(559,plain,
    ! [SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ! [SY1096: $i,SY1097: $i] :
            ~ ! [SY1098: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                                    | ~ ( coll @ SY1096 @ SV40 @ SV174 ) )
                              | ~ ( coll @ SY1096 @ SV107 @ SV234 ) )
                        | ~ ( coll @ SY1097 @ SV40 @ SV107 ) )
                  | ~ ( ~ ( coll @ SY1096 @ SY1097 @ SY1098 )
                      | ~ ( coll @ SY1098 @ SV174 @ SV234 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(560,plain,
    ! [SV235: $i,SV175: $i,SV108: $i,SV41: $i] :
      ( ( ! [SY1099: $i,SY1100: $i,SY1101: $i,SY1102: $i] :
            ( ~ ( eqangle @ SV41 @ SV108 @ SV175 @ SV235 @ SY1099 @ SY1100 @ SY1101 @ SY1102 )
            | ( eqangle @ SV108 @ SV41 @ SV175 @ SV235 @ SY1099 @ SY1100 @ SY1101 @ SY1102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[493]) ).

thf(561,plain,
    ! [SV236: $i,SV176: $i,SV109: $i,SV42: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV42 @ SV109 @ SV109 @ SV176 )
              | ~ ( midp @ SV236 @ SV42 @ SV176 ) )
        | ( cong @ SV42 @ SV236 @ SV109 @ SV236 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[494]) ).

thf(562,plain,
    ! [SV237: $i,SV110: $i,SV43: $i,SV177: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV177 @ SV43 @ SV177 @ SV110 @ SV237 @ SV43 @ SV237 @ SV110 )
              | ~ ( coll @ SV177 @ SV237 @ SV110 ) )
        | ( cyclic @ SV43 @ SV110 @ SV177 @ SV237 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[495]) ).

thf(563,plain,
    ! [SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ! [SY1103: $i,SY1104: $i,SY1105: $i,SY1106: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SY1103 @ SY1104 @ SY1105 @ SY1106 )
                  | ~ ( perp @ SY1103 @ SY1104 @ SY1105 @ SY1106 ) )
            | ( perp @ SV44 @ SV111 @ SV178 @ SV238 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[496]) ).

thf(564,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ~ ! [SY1107: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
                      | ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) )
                | ~ ( ~ ( coll @ SY1107 @ SV45 @ SV112 )
                    | ~ ( coll @ SY1107 @ SV179 @ SV239 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(565,plain,
    ! [SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ! [SY1108: $i,SY1109: $i,SY1110: $i,SY1111: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SY1108 @ SY1109 @ SY1110 @ SY1111 )
                  | ~ ( cong @ SY1108 @ SY1109 @ SY1110 @ SY1111 ) )
            | ( cong @ SV46 @ SV113 @ SV180 @ SV240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[498]) ).

thf(566,plain,
    ! [SV241: $i,SV114: $i,SV47: $i,SV181: $i] :
      ( ( ~ ~ ( ~ ( midp @ SV181 @ SV47 @ SV114 )
              | ~ ( perp @ SV241 @ SV181 @ SV47 @ SV114 ) )
        | ( cong @ SV241 @ SV47 @ SV241 @ SV114 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(567,plain,
    ! [SV242: $i,SV182: $i,SV115: $i,SV48: $i] :
      ( ( ~ ( cong @ SV48 @ SV115 @ SV182 @ SV242 )
        | ( cong @ SV48 @ SV115 @ SV242 @ SV182 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(568,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i] :
      ( ( ! [SY1112: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( cong @ SY1112 @ SV49 @ SY1112 @ SV116 )
                        | ~ ( cong @ SY1112 @ SV49 @ SY1112 @ SV183 ) )
                  | ~ ( cong @ SY1112 @ SV49 @ SY1112 @ SV243 ) )
            | ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(569,plain,
    ! [SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ! [SY1113: $i,SY1114: $i,SY1115: $i,SY1116: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SY1113 @ SY1114 @ SY1115 @ SY1116 )
                  | ~ ( para @ SY1113 @ SY1114 @ SY1115 @ SY1116 ) )
            | ( para @ SV50 @ SV117 @ SV184 @ SV244 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[502]) ).

thf(570,plain,
    ! [SV185: $i,SV118: $i,SV51: $i,SV245: $i] :
      ( ( ~ ! [SY1117: $i] :
              ~ ( ~ ( circle @ SV245 @ SV51 @ SV118 @ SV185 )
                | ( perp @ SY1117 @ SV51 @ SV51 @ SV245 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[503]) ).

thf(571,plain,
    ! [SV246: $i,SV186: $i,SV119: $i,SV52: $i] :
      ( ( ~ ( perp @ SV52 @ SV119 @ SV186 @ SV246 )
        | ( perp @ SV52 @ SV119 @ SV246 @ SV186 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(572,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
                    | ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) )
              | ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) )
        | ( perp @ SV187 @ SV53 @ SV53 @ SV247 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[505]) ).

thf(573,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ~ ! [SY1118: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
                      | ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) )
                | ~ ( ~ ( coll @ SV121 @ SV54 @ SY1118 )
                    | ~ ( coll @ SY1118 @ SV188 @ SV248 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(574,plain,
    ! [SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ! [SY1119: $i] :
            ~ ! [SY1120: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                              | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
                        | ~ ( midp @ SY1119 @ SV122 @ SV249 ) )
                  | ( midp @ SY1120 @ SV55 @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(575,plain,
    ! [SV250: $i,SV190: $i,SV123: $i,SV56: $i] :
      ( ( ! [SY1121: $i,SY1122: $i] :
            ( ~ ( eqangle @ SV56 @ SV123 @ SY1121 @ SY1122 @ SV190 @ SV250 @ SY1121 @ SY1122 )
            | ( para @ SV56 @ SV123 @ SV190 @ SV250 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[508]) ).

thf(576,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i] :
      ( ( ! [SY1123: $i] :
            ~ ! [SY1124: $i] :
                ~ ( ~ ~ ( ~ ( cong @ SY1123 @ SV191 @ SY1123 @ SV251 )
                        | ~ ( perp @ SV57 @ SV124 @ SV124 @ SY1123 ) )
                  | ~ ( ~ ~ ( ~ ( cong @ SY1123 @ SV191 @ SY1123 @ SY1124 )
                            | ~ ( para @ SY1124 @ SV191 @ SV57 @ SV124 ) )
                      | ~ ( cong @ SV124 @ SV191 @ SV124 @ SY1124 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[509]) ).

thf(577,plain,
    ! [SV192: $i,SV125: $i,SV58: $i,SV252: $i] :
      ( ( ! [SY1125: $i] :
            ( ~ ~ ( ~ ( circle @ SV252 @ SV58 @ SV125 @ SV192 )
                  | ~ ( perp @ SV252 @ SV58 @ SV58 @ SY1125 ) )
            | ( eqangle @ SV58 @ SY1125 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[510]) ).

thf(578,plain,
    ! [SV193: $i,SV126: $i,SV59: $i,SV253: $i] :
      ( ( ! [SY1126: $i] :
            ( ~ ~ ( ~ ( circle @ SV253 @ SV59 @ SV126 @ SV193 )
                  | ~ ( eqangle @ SV59 @ SY1126 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 ) )
            | ( perp @ SV253 @ SV59 @ SV59 @ SY1126 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[511]) ).

thf(579,plain,
    ! [SV254: $i,SV194: $i,SV127: $i,SV60: $i] :
      ( ( ! [SY1127: $i,SY1128: $i] :
            ( ~ ~ ( ~ ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SY1127 @ SY1128 )
                  | ~ ( cong @ SV60 @ SV127 @ SV254 @ SY1127 ) )
            | ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SY1127 @ SY1128 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[512]) ).

thf(580,plain,
    ! [SV255: $i,SV195: $i,SV128: $i,SV61: $i] :
      ( ( ~ ~ ( ~ ( coll @ SV61 @ SV128 @ SV195 )
              | ~ ( coll @ SV61 @ SV128 @ SV255 ) )
        | ( coll @ SV195 @ SV255 @ SV61 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(581,plain,
    ! [SV196: $i,SV129: $i,SV62: $i] :
      ( ( ( ~ ( midp @ SV62 @ SV129 @ SV196 ) )
        = $true )
      | ( ( cong @ SV62 @ SV129 @ SV62 @ SV196 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[514]) ).

thf(582,plain,
    ! [SV256: $i,SV197: $i,SV130: $i,SV63: $i] :
      ( ( ! [SY1129: $i,SY1130: $i,SY1131: $i,SY1132: $i] :
            ( ~ ( eqangle @ SV63 @ SV130 @ SV197 @ SV256 @ SY1129 @ SY1130 @ SY1131 @ SY1132 )
            | ( eqangle @ SY1129 @ SY1130 @ SY1131 @ SY1132 @ SV63 @ SV130 @ SV197 @ SV256 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[515]) ).

thf(583,plain,
    ! [SV198: $i,SV131: $i,SV64: $i] :
      ( ( ( ~ ( para @ SV64 @ SV131 @ SV64 @ SV198 ) )
        = $true )
      | ( ( coll @ SV64 @ SV131 @ SV198 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[516]) ).

thf(584,plain,
    ! [SV257: $i,SV199: $i,SV132: $i,SV65: $i] :
      ( ( ! [SY1133: $i,SY1134: $i,SY1135: $i,SY1136: $i] :
            ( ~ ( eqangle @ SV65 @ SV132 @ SV199 @ SV257 @ SY1133 @ SY1134 @ SY1135 @ SY1136 )
            | ( eqangle @ SV199 @ SV257 @ SV65 @ SV132 @ SY1135 @ SY1136 @ SY1133 @ SY1134 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[517]) ).

thf(585,plain,
    ! [SV258: $i,SV200: $i,SV133: $i,SV66: $i] :
      ( ( ~ ( perp @ SV66 @ SV133 @ SV200 @ SV258 )
        | ( perp @ SV200 @ SV258 @ SV66 @ SV133 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[518]) ).

thf(586,plain,
    ! [SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ! [SY1137: $i] :
            ~ ! [SY1138: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                              | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
                        | ~ ( midp @ SY1137 @ SV67 @ SV134 ) )
                  | ( circle @ SY1138 @ SV67 @ SV134 @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[519]) ).

thf(587,plain,
    ! [SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ! [SY1139: $i] :
            ~ ! [SY1140: $i] :
                ~ ~ ! [SY1141: $i] :
                      ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                                          | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                                    | ~ ( cong @ SY1139 @ SV1 @ SY1139 @ SV68 ) )
                              | ~ ( ( SV260 != SY1139 ) ) )
                        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1140 @ SV1 @ SV135 )
                                        | ~ ( cong @ SY1140 @ SY1139 @ SY1139 @ SV1 ) )
                                  | ~ ( coll @ SY1141 @ SV68 @ SV202 ) )
                            | ~ ( cong @ SY1141 @ SY1139 @ SY1139 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[520]) ).

thf(588,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ! [SY1047: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
                    | ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) )
              | ~ ( ~ ( coll @ SV69 @ SV2 @ SY1047 )
                  | ~ ( coll @ SY1047 @ SV136 @ SV203 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(589,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ~ ! [SY1142: $i] :
              ~ ( ~ ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
                      | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
                | ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SY1142 @ SV70 @ SY1142 )
                    | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ SY1142 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[522]) ).

thf(590,plain,
    ! [SV205: $i,SV71: $i,SV4: $i,SV138: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SV205 @ SV4 @ SV205 @ SV71 )
                | ~ ~ ( coll @ SV138 @ SV205 @ SV4 ) ) )
        = $true )
      | ( ( cyclic @ SV4 @ SV71 @ SV138 @ SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[523]) ).

thf(591,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ! [SY1050: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
                    | ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) )
              | ~ ( ~ ( coll @ SV72 @ SV5 @ SY1050 )
                  | ~ ( coll @ SY1050 @ SV139 @ SV206 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[524]) ).

thf(592,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 )
                    | ~ ( coll @ SV262 @ SV6 @ SV140 ) )
              | ~ ( coll @ SV262 @ SV73 @ SV207 ) )
        | ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[525]) ).

thf(593,plain,
    ! [SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY1143: $i,SY1144: $i,SY1145: $i,SY1146: $i,SY1147: $i,SY1148: $i,SY1149: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SY1143 @ SY1144 @ SY1145 )
                  | ~ ( eqangle @ SV263 @ SY1143 @ SY1144 @ SY1145 @ SY1146 @ SY1147 @ SY1148 @ SY1149 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SY1146 @ SY1147 @ SY1148 @ SY1149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[526]) ).

thf(594,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ! [SY1060: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
                    | ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) )
              | ( circle @ SY1060 @ SV8 @ SV75 @ SV142 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[527]) ).

thf(595,plain,
    ! [SV264: $i,SV210: $i,SV76: $i,SV9: $i] :
      ( ( ! [SY1150: $i,SY1151: $i] :
            ~ ! [SY1152: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1151 @ SV9 @ SV76 )
                                    | ~ ( para @ SV9 @ SV210 @ SY1150 @ SY1151 ) )
                              | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
                        | ~ ( coll @ SV210 @ SV264 @ SY1150 ) )
                  | ~ ( ~ ( coll @ SY1152 @ SV9 @ SV264 )
                      | ~ ( coll @ SY1152 @ SY1151 @ SY1150 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[528]) ).

thf(596,plain,
    ! [SV144: $i,SV77: $i,SV10: $i] :
      ( ( ( coll @ SV10 @ SV77 @ SV144 )
        = $false )
      | ( ( coll @ SV10 @ SV144 @ SV77 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(597,plain,
    ! [SV211: $i,SV145: $i,SV78: $i,SV11: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV11 @ SV78 @ SV145 @ SV211 @ SV145 @ SV211 @ SV11 @ SV78 )
                | ~ ~ ( para @ SV11 @ SV78 @ SV145 @ SV211 ) ) )
        = $true )
      | ( ( perp @ SV11 @ SV78 @ SV145 @ SV211 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[530]) ).

thf(598,plain,
    ! [SV265: $i,SV212: $i,SV146: $i,SV79: $i,SV12: $i] :
      ( ( ! [SY1153: $i] :
            ( ~ ( para @ SV12 @ SV79 @ SV146 @ SV212 )
            | ( eqangle @ SV12 @ SV79 @ SV265 @ SY1153 @ SV146 @ SV212 @ SV265 @ SY1153 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[531]) ).

thf(599,plain,
    ! [SV213: $i,SV147: $i,SV80: $i,SV13: $i] :
      ( ( ( ~ ( cong @ SV13 @ SV80 @ SV147 @ SV213 ) )
        = $true )
      | ( ( cong @ SV147 @ SV213 @ SV13 @ SV80 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[532]) ).

thf(600,plain,
    ! [SV214: $i,SV148: $i,SV81: $i,SV14: $i] :
      ( ( ( ~ ~ ( ~ ( cyclic @ SV14 @ SV81 @ SV148 @ SV214 )
                | ~ ( para @ SV14 @ SV81 @ SV148 @ SV214 ) ) )
        = $true )
      | ( ( eqangle @ SV14 @ SV214 @ SV148 @ SV214 @ SV148 @ SV214 @ SV148 @ SV81 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[533]) ).

thf(601,plain,
    ! [SV149: $i,SV82: $i,SV15: $i] :
      ( ( ( ~ ( ~ ( cong @ SV15 @ SV82 @ SV15 @ SV149 )
              | ~ ( coll @ SV15 @ SV82 @ SV149 ) ) )
        = $false )
      | ( ( midp @ SV15 @ SV82 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[534]) ).

thf(602,plain,
    ! [SV83: $i,SV16: $i,SV150: $i] :
      ( ( ( cong @ SV150 @ SV16 @ SV150 @ SV83 )
        = $false )
      | ( ( eqangle @ SV150 @ SV16 @ SV16 @ SV83 @ SV16 @ SV83 @ SV150 @ SV83 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[535]) ).

thf(603,plain,
    ! [SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ! [SY1154: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SY1154 )
                        | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SY1154 @ SV266 @ SY1154 ) )
                  | ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
            | ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SY1154 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[536]) ).

thf(604,plain,
    ! [SV216: $i,SV152: $i,SV85: $i,SV18: $i] :
      ( ( ( ~ ( cyclic @ SV18 @ SV85 @ SV152 @ SV216 ) )
        = $true )
      | ( ( eqangle @ SV152 @ SV18 @ SV152 @ SV85 @ SV216 @ SV18 @ SV216 @ SV85 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[537]) ).

thf(605,plain,
    ! [SV267: $i,SV217: $i,SV153: $i,SV86: $i,SV19: $i] :
      ( ( ! [SY1155: $i,SY1156: $i,SY1157: $i] :
            ( ~ ( eqangle @ SV19 @ SV86 @ SV153 @ SV217 @ SV267 @ SY1155 @ SY1156 @ SY1157 )
            | ( eqangle @ SV19 @ SV86 @ SV267 @ SY1155 @ SV153 @ SV217 @ SY1156 @ SY1157 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[538]) ).

thf(606,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ! [SY1073: $i] :
            ~ ~ ! [SY1074: $i] :
                  ~ ( ~ ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
                          | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1073 @ SV154 @ SV87 )
                                    | ~ ( perp @ SV20 @ SY1073 @ SV154 @ SV87 ) )
                              | ~ ( coll @ SY1074 @ SV154 @ SV20 ) )
                        | ~ ( perp @ SV87 @ SY1074 @ SV154 @ SV20 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(607,plain,
    ! [SV88: $i,SV21: $i,SV155: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV155 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SV155 @ SV88 )
              | ~ ~ ( coll @ SV155 @ SV21 @ SV88 ) ) )
        = $false )
      | ( ( cong @ SV155 @ SV21 @ SV155 @ SV88 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[540]) ).

thf(608,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV219 @ SV22 @ SV89 )
                    | ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) )
              | ~ ( coll @ SV268 @ SV22 @ SV156 ) )
        | ( midp @ SV268 @ SV22 @ SV156 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[541]) ).

thf(609,plain,
    ! [SV157: $i,SV90: $i,SV23: $i,SV220: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV220 @ SV23 @ SV90 @ SV157 )
                | ~ ( coll @ SV220 @ SV23 @ SV157 ) ) )
        = $true )
      | ( ( perp @ SV23 @ SV90 @ SV90 @ SV157 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[542]) ).

thf(610,plain,
    ! [SV269: $i,SV221: $i,SV158: $i,SV91: $i,SV24: $i] :
      ( ( ! [SY1158: $i] :
            ( ~ ( contri @ SV24 @ SV91 @ SV158 @ SV221 @ SV269 @ SY1158 )
            | ( cong @ SV24 @ SV91 @ SV221 @ SV269 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(611,plain,
    ! [SV270: $i,SV159: $i,SV92: $i,SV25: $i,SV222: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV222 @ SV25 @ SV92 @ SV159 )
              | ~ ( midp @ SV270 @ SV92 @ SV159 ) )
        | ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SV222 @ SV92 @ SV222 @ SV270 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[544]) ).

thf(612,plain,
    ! [SV160: $i,SV93: $i,SV26: $i,SV223: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV223 @ SV26 @ SV223 @ SV93 )
                | ~ ( cong @ SV223 @ SV26 @ SV223 @ SV160 ) ) )
        = $true )
      | ( ( circle @ SV223 @ SV26 @ SV93 @ SV160 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[545]) ).

thf(613,plain,
    ! [SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ! [SY1159: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                              | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
                        | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SY1159 ) )
                  | ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SY1159 @ SV224 @ SY1159 @ SV271 ) )
            | ( cong @ SV27 @ SV94 @ SV224 @ SV271 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[546]) ).

thf(614,plain,
    ! [SV162: $i,SV95: $i,SV28: $i] :
      ( ( ( coll @ SV28 @ SV95 @ SV162 )
        = $false )
      | ( ( coll @ SV95 @ SV28 @ SV162 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[547]) ).

thf(615,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
                    | ~ ( coll @ SV272 @ SV96 @ SV163 ) )
              | ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) )
        | ( midp @ SV272 @ SV96 @ SV163 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(616,plain,
    ! [SV226: $i,SV164: $i,SV97: $i,SV30: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV30 @ SV97 @ SV164 @ SV226 @ SV164 @ SV226 @ SV30 @ SV97 )
                | ~ ~ ( perp @ SV30 @ SV97 @ SV164 @ SV226 ) ) )
        = $true )
      | ( ( para @ SV30 @ SV97 @ SV164 @ SV226 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[549]) ).

thf(617,plain,
    ! [SV227: $i,SV165: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ! [SY1160: $i,SY1161: $i] :
            ~ ! [SY1162: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                                    | ~ ( midp @ SY1160 @ SV165 @ SV227 ) )
                              | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
                        | ~ ( coll @ SV227 @ SV31 @ SV98 ) )
                  | ( midp @ SY1162 @ SV31 @ SY1161 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[550]) ).

thf(618,plain,
    ! [SV274: $i,SV228: $i,SV166: $i,SV99: $i,SV32: $i] :
      ( ( ! [SY1163: $i] :
            ( ~ ~ ( ~ ( para @ SV32 @ SV99 @ SV166 @ SV228 )
                  | ~ ( perp @ SV166 @ SV228 @ SV274 @ SY1163 ) )
            | ( perp @ SV32 @ SV99 @ SV274 @ SY1163 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[551]) ).

thf(619,plain,
    ! [SV167: $i,SV100: $i,SV33: $i] :
      ( ( ( midp @ SV33 @ SV100 @ SV167 )
        = $false )
      | ( ( coll @ SV33 @ SV100 @ SV167 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(620,plain,
    ! [SV275: $i,SV229: $i,SV168: $i,SV101: $i,SV34: $i] :
      ( ( ! [SY1164: $i] :
            ( ~ ( simtri @ SV34 @ SV101 @ SV168 @ SV229 @ SV275 @ SY1164 )
            | ( eqangle @ SV34 @ SV101 @ SV101 @ SV168 @ SV229 @ SV275 @ SV275 @ SY1164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(621,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ~ ! [SY1165: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
                      | ~ ( coll @ SV102 @ SV230 @ SV276 ) )
                | ~ ( ~ ( coll @ SY1165 @ SV230 @ SV276 )
                    | ~ ( perp @ SY1165 @ SV35 @ SV230 @ SV276 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(622,plain,
    ! [SV277: $i,SV231: $i,SV170: $i,SV103: $i,SV36: $i] :
      ( ( ! [SY1166: $i] :
            ( ~ ~ ( ~ ( perp @ SV36 @ SV103 @ SV170 @ SV231 )
                  | ~ ( perp @ SV170 @ SV231 @ SV277 @ SY1166 ) )
            | ( para @ SV36 @ SV103 @ SV277 @ SY1166 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(623,plain,
    ! [SV232: $i,SV104: $i,SV171: $i,SV37: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV37 @ SV171 @ SV104 @ SV171 )
                | ~ ( cong @ SV37 @ SV232 @ SV104 @ SV232 ) ) )
        = $true )
      | ( ( perp @ SV37 @ SV104 @ SV171 @ SV232 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[556]) ).

thf(624,plain,
    ! [SV278: $i,SV233: $i,SV172: $i,SV105: $i,SV38: $i] :
      ( ( ! [SY1167: $i] :
            ( ~ ~ ( ~ ( cong @ SV38 @ SV105 @ SV172 @ SV233 )
                  | ~ ( cong @ SV172 @ SV233 @ SV278 @ SY1167 ) )
            | ( cong @ SV38 @ SV105 @ SV278 @ SY1167 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(625,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
                  | ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) )
            | ~ ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
                | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[558]) ).

thf(626,plain,
    ! [SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ! [SY1168: $i] :
            ~ ! [SY1169: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                                    | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                              | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
                        | ~ ( coll @ SY1168 @ SV40 @ SV107 ) )
                  | ~ ( ~ ( coll @ SV279 @ SY1168 @ SY1169 )
                      | ~ ( coll @ SY1169 @ SV174 @ SV234 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[559]) ).

thf(627,plain,
    ! [SV280: $i,SV235: $i,SV175: $i,SV108: $i,SV41: $i] :
      ( ( ! [SY1170: $i,SY1171: $i,SY1172: $i] :
            ( ~ ( eqangle @ SV41 @ SV108 @ SV175 @ SV235 @ SV280 @ SY1170 @ SY1171 @ SY1172 )
            | ( eqangle @ SV108 @ SV41 @ SV175 @ SV235 @ SV280 @ SY1170 @ SY1171 @ SY1172 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(628,plain,
    ! [SV236: $i,SV176: $i,SV109: $i,SV42: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV42 @ SV109 @ SV109 @ SV176 )
                | ~ ( midp @ SV236 @ SV42 @ SV176 ) ) )
        = $true )
      | ( ( cong @ SV42 @ SV236 @ SV109 @ SV236 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[561]) ).

thf(629,plain,
    ! [SV237: $i,SV110: $i,SV43: $i,SV177: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV177 @ SV43 @ SV177 @ SV110 @ SV237 @ SV43 @ SV237 @ SV110 )
                | ~ ( coll @ SV177 @ SV237 @ SV110 ) ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV110 @ SV177 @ SV237 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[562]) ).

thf(630,plain,
    ! [SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ! [SY1173: $i,SY1174: $i,SY1175: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SY1173 @ SY1174 @ SY1175 )
                  | ~ ( perp @ SV281 @ SY1173 @ SY1174 @ SY1175 ) )
            | ( perp @ SV44 @ SV111 @ SV178 @ SV238 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[563]) ).

thf(631,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ! [SY1107: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
                    | ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) )
              | ~ ( ~ ( coll @ SY1107 @ SV45 @ SV112 )
                  | ~ ( coll @ SY1107 @ SV179 @ SV239 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[564]) ).

thf(632,plain,
    ! [SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ! [SY1176: $i,SY1177: $i,SY1178: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SY1176 @ SY1177 @ SY1178 )
                  | ~ ( cong @ SV282 @ SY1176 @ SY1177 @ SY1178 ) )
            | ( cong @ SV46 @ SV113 @ SV180 @ SV240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[565]) ).

thf(633,plain,
    ! [SV241: $i,SV114: $i,SV47: $i,SV181: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV181 @ SV47 @ SV114 )
                | ~ ( perp @ SV241 @ SV181 @ SV47 @ SV114 ) ) )
        = $true )
      | ( ( cong @ SV241 @ SV47 @ SV241 @ SV114 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[566]) ).

thf(634,plain,
    ! [SV242: $i,SV182: $i,SV115: $i,SV48: $i] :
      ( ( ( ~ ( cong @ SV48 @ SV115 @ SV182 @ SV242 ) )
        = $true )
      | ( ( cong @ SV48 @ SV115 @ SV242 @ SV182 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[567]) ).

thf(635,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
                    | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) )
              | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) )
        | ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(636,plain,
    ! [SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ! [SY1179: $i,SY1180: $i,SY1181: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SY1179 @ SY1180 @ SY1181 )
                  | ~ ( para @ SV284 @ SY1179 @ SY1180 @ SY1181 ) )
            | ( para @ SV50 @ SV117 @ SV184 @ SV244 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[569]) ).

thf(637,plain,
    ! [SV185: $i,SV118: $i,SV51: $i,SV245: $i] :
      ( ( ! [SY1117: $i] :
            ~ ( ~ ( circle @ SV245 @ SV51 @ SV118 @ SV185 )
              | ( perp @ SY1117 @ SV51 @ SV51 @ SV245 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(638,plain,
    ! [SV246: $i,SV186: $i,SV119: $i,SV52: $i] :
      ( ( ( ~ ( perp @ SV52 @ SV119 @ SV186 @ SV246 ) )
        = $true )
      | ( ( perp @ SV52 @ SV119 @ SV246 @ SV186 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[571]) ).

thf(639,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
                      | ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) )
                | ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) ) )
        = $true )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[572]) ).

thf(640,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ! [SY1118: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
                    | ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) )
              | ~ ( ~ ( coll @ SV121 @ SV54 @ SY1118 )
                  | ~ ( coll @ SY1118 @ SV188 @ SV248 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(641,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ~ ! [SY1182: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                            | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
                      | ~ ( midp @ SV285 @ SV122 @ SV249 ) )
                | ( midp @ SY1182 @ SV55 @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[574]) ).

thf(642,plain,
    ! [SV250: $i,SV190: $i,SV286: $i,SV123: $i,SV56: $i] :
      ( ( ! [SY1183: $i] :
            ( ~ ( eqangle @ SV56 @ SV123 @ SV286 @ SY1183 @ SV190 @ SV250 @ SV286 @ SY1183 )
            | ( para @ SV56 @ SV123 @ SV190 @ SV250 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[575]) ).

thf(643,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ~ ! [SY1184: $i] :
              ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
                      | ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) )
                | ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SY1184 )
                          | ~ ( para @ SY1184 @ SV191 @ SV57 @ SV124 ) )
                    | ~ ( cong @ SV124 @ SV191 @ SV124 @ SY1184 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[576]) ).

thf(644,plain,
    ! [SV288: $i,SV192: $i,SV125: $i,SV58: $i,SV252: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV252 @ SV58 @ SV125 @ SV192 )
              | ~ ( perp @ SV252 @ SV58 @ SV58 @ SV288 ) )
        | ( eqangle @ SV58 @ SV288 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[577]) ).

thf(645,plain,
    ! [SV289: $i,SV193: $i,SV126: $i,SV59: $i,SV253: $i] :
      ( ( ~ ~ ( ~ ( circle @ SV253 @ SV59 @ SV126 @ SV193 )
              | ~ ( eqangle @ SV59 @ SV289 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 ) )
        | ( perp @ SV253 @ SV59 @ SV59 @ SV289 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[578]) ).

thf(646,plain,
    ! [SV290: $i,SV254: $i,SV194: $i,SV127: $i,SV60: $i] :
      ( ( ! [SY1185: $i] :
            ( ~ ~ ( ~ ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SY1185 )
                  | ~ ( cong @ SV60 @ SV127 @ SV254 @ SV290 ) )
            | ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SY1185 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[579]) ).

thf(647,plain,
    ! [SV255: $i,SV195: $i,SV128: $i,SV61: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ SV61 @ SV128 @ SV195 )
                | ~ ( coll @ SV61 @ SV128 @ SV255 ) ) )
        = $true )
      | ( ( coll @ SV195 @ SV255 @ SV61 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[580]) ).

thf(648,plain,
    ! [SV196: $i,SV129: $i,SV62: $i] :
      ( ( ( midp @ SV62 @ SV129 @ SV196 )
        = $false )
      | ( ( cong @ SV62 @ SV129 @ SV62 @ SV196 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(649,plain,
    ! [SV291: $i,SV256: $i,SV197: $i,SV130: $i,SV63: $i] :
      ( ( ! [SY1186: $i,SY1187: $i,SY1188: $i] :
            ( ~ ( eqangle @ SV63 @ SV130 @ SV197 @ SV256 @ SV291 @ SY1186 @ SY1187 @ SY1188 )
            | ( eqangle @ SV291 @ SY1186 @ SY1187 @ SY1188 @ SV63 @ SV130 @ SV197 @ SV256 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[582]) ).

thf(650,plain,
    ! [SV198: $i,SV131: $i,SV64: $i] :
      ( ( ( para @ SV64 @ SV131 @ SV64 @ SV198 )
        = $false )
      | ( ( coll @ SV64 @ SV131 @ SV198 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[583]) ).

thf(651,plain,
    ! [SV292: $i,SV257: $i,SV199: $i,SV132: $i,SV65: $i] :
      ( ( ! [SY1189: $i,SY1190: $i,SY1191: $i] :
            ( ~ ( eqangle @ SV65 @ SV132 @ SV199 @ SV257 @ SV292 @ SY1189 @ SY1190 @ SY1191 )
            | ( eqangle @ SV199 @ SV257 @ SV65 @ SV132 @ SY1190 @ SY1191 @ SV292 @ SY1189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[584]) ).

thf(652,plain,
    ! [SV258: $i,SV200: $i,SV133: $i,SV66: $i] :
      ( ( ( ~ ( perp @ SV66 @ SV133 @ SV200 @ SV258 ) )
        = $true )
      | ( ( perp @ SV200 @ SV258 @ SV66 @ SV133 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[585]) ).

thf(653,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ~ ! [SY1192: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                            | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
                      | ~ ( midp @ SV293 @ SV67 @ SV134 ) )
                | ( circle @ SY1192 @ SV67 @ SV134 @ SV201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[586]) ).

thf(654,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ~ ! [SY1193: $i] :
              ~ ~ ! [SY1194: $i] :
                    ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                                        | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                                  | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
                            | ~ ( ( SV260 != SV294 ) ) )
                      | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1193 @ SV1 @ SV135 )
                                      | ~ ( cong @ SY1193 @ SV294 @ SV294 @ SV1 ) )
                                | ~ ( coll @ SY1194 @ SV68 @ SV202 ) )
                          | ~ ( cong @ SY1194 @ SV294 @ SV294 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[587]) ).

thf(655,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
                  | ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) )
            | ~ ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
                | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[588]) ).

thf(656,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ! [SY1142: $i] :
            ~ ( ~ ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
                    | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
              | ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SY1142 @ SV70 @ SY1142 )
                  | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ SY1142 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(657,plain,
    ! [SV205: $i,SV71: $i,SV4: $i,SV138: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SV205 @ SV4 @ SV205 @ SV71 )
              | ~ ~ ( coll @ SV138 @ SV205 @ SV4 ) ) )
        = $false )
      | ( ( cyclic @ SV4 @ SV71 @ SV138 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[590]) ).

thf(658,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
                  | ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) )
            | ~ ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
                | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[591]) ).

thf(659,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 )
                      | ~ ( coll @ SV262 @ SV6 @ SV140 ) )
                | ~ ( coll @ SV262 @ SV73 @ SV207 ) ) )
        = $true )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[592]) ).

thf(660,plain,
    ! [SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY1195: $i,SY1196: $i,SY1197: $i,SY1198: $i,SY1199: $i,SY1200: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SY1195 @ SY1196 )
                  | ~ ( eqangle @ SV263 @ SV295 @ SY1195 @ SY1196 @ SY1197 @ SY1198 @ SY1199 @ SY1200 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SY1197 @ SY1198 @ SY1199 @ SY1200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[593]) ).

thf(661,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
                  | ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) )
            | ( circle @ ( sK10_SY1060 @ SV209 @ SV75 @ SV142 @ SV8 ) @ SV8 @ SV75 @ SV142 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[594]) ).

thf(662,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i] :
      ( ( ! [SY1201: $i] :
            ~ ! [SY1202: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY1201 @ SV9 @ SV76 )
                                    | ~ ( para @ SV9 @ SV210 @ SV296 @ SY1201 ) )
                              | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
                        | ~ ( coll @ SV210 @ SV264 @ SV296 ) )
                  | ~ ( ~ ( coll @ SY1202 @ SV9 @ SV264 )
                      | ~ ( coll @ SY1202 @ SY1201 @ SV296 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[595]) ).

thf(663,plain,
    ! [SV211: $i,SV145: $i,SV78: $i,SV11: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV11 @ SV78 @ SV145 @ SV211 @ SV145 @ SV211 @ SV11 @ SV78 )
              | ~ ~ ( para @ SV11 @ SV78 @ SV145 @ SV211 ) ) )
        = $false )
      | ( ( perp @ SV11 @ SV78 @ SV145 @ SV211 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(664,plain,
    ! [SV297: $i,SV265: $i,SV212: $i,SV146: $i,SV79: $i,SV12: $i] :
      ( ( ~ ( para @ SV12 @ SV79 @ SV146 @ SV212 )
        | ( eqangle @ SV12 @ SV79 @ SV265 @ SV297 @ SV146 @ SV212 @ SV265 @ SV297 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[598]) ).

thf(665,plain,
    ! [SV213: $i,SV147: $i,SV80: $i,SV13: $i] :
      ( ( ( cong @ SV13 @ SV80 @ SV147 @ SV213 )
        = $false )
      | ( ( cong @ SV147 @ SV213 @ SV13 @ SV80 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(666,plain,
    ! [SV214: $i,SV148: $i,SV81: $i,SV14: $i] :
      ( ( ( ~ ( ~ ( cyclic @ SV14 @ SV81 @ SV148 @ SV214 )
              | ~ ( para @ SV14 @ SV81 @ SV148 @ SV214 ) ) )
        = $false )
      | ( ( eqangle @ SV14 @ SV214 @ SV148 @ SV214 @ SV148 @ SV214 @ SV148 @ SV81 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(667,plain,
    ! [SV149: $i,SV82: $i,SV15: $i] :
      ( ( ( ~ ( cong @ SV15 @ SV82 @ SV15 @ SV149 )
          | ~ ( coll @ SV15 @ SV82 @ SV149 ) )
        = $true )
      | ( ( midp @ SV15 @ SV82 @ SV149 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[601]) ).

thf(668,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
                    | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) )
              | ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        | ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[603]) ).

thf(669,plain,
    ! [SV216: $i,SV152: $i,SV85: $i,SV18: $i] :
      ( ( ( cyclic @ SV18 @ SV85 @ SV152 @ SV216 )
        = $false )
      | ( ( eqangle @ SV152 @ SV18 @ SV152 @ SV85 @ SV216 @ SV18 @ SV216 @ SV85 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(670,plain,
    ! [SV299: $i,SV267: $i,SV217: $i,SV153: $i,SV86: $i,SV19: $i] :
      ( ( ! [SY1203: $i,SY1204: $i] :
            ( ~ ( eqangle @ SV19 @ SV86 @ SV153 @ SV217 @ SV267 @ SV299 @ SY1203 @ SY1204 )
            | ( eqangle @ SV19 @ SV86 @ SV267 @ SV299 @ SV153 @ SV217 @ SY1203 @ SY1204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[605]) ).

thf(671,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ~ ~ ! [SY1205: $i] :
                ~ ( ~ ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
                        | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                                  | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                            | ~ ( coll @ SY1205 @ SV154 @ SV20 ) )
                      | ~ ( perp @ SV87 @ SY1205 @ SV154 @ SV20 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[606]) ).

thf(672,plain,
    ! [SV88: $i,SV21: $i,SV155: $i] :
      ( ( ( ~ ( eqangle @ SV155 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SV155 @ SV88 )
          | ~ ~ ( coll @ SV155 @ SV21 @ SV88 ) )
        = $true )
      | ( ( cong @ SV155 @ SV21 @ SV155 @ SV88 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[607]) ).

thf(673,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV219 @ SV22 @ SV89 )
                      | ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) )
                | ~ ( coll @ SV268 @ SV22 @ SV156 ) ) )
        = $true )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[608]) ).

thf(674,plain,
    ! [SV157: $i,SV90: $i,SV23: $i,SV220: $i] :
      ( ( ( ~ ( ~ ( circle @ SV220 @ SV23 @ SV90 @ SV157 )
              | ~ ( coll @ SV220 @ SV23 @ SV157 ) ) )
        = $false )
      | ( ( perp @ SV23 @ SV90 @ SV90 @ SV157 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(675,plain,
    ! [SV300: $i,SV269: $i,SV221: $i,SV158: $i,SV91: $i,SV24: $i] :
      ( ( ~ ( contri @ SV24 @ SV91 @ SV158 @ SV221 @ SV269 @ SV300 )
        | ( cong @ SV24 @ SV91 @ SV221 @ SV269 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[610]) ).

thf(676,plain,
    ! [SV270: $i,SV159: $i,SV92: $i,SV25: $i,SV222: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV222 @ SV25 @ SV92 @ SV159 )
                | ~ ( midp @ SV270 @ SV92 @ SV159 ) ) )
        = $true )
      | ( ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SV222 @ SV92 @ SV222 @ SV270 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[611]) ).

thf(677,plain,
    ! [SV160: $i,SV93: $i,SV26: $i,SV223: $i] :
      ( ( ( ~ ( ~ ( cong @ SV223 @ SV26 @ SV223 @ SV93 )
              | ~ ( cong @ SV223 @ SV26 @ SV223 @ SV160 ) ) )
        = $false )
      | ( ( circle @ SV223 @ SV26 @ SV93 @ SV160 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[612]) ).

thf(678,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                          | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
                    | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
              | ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        | ( cong @ SV27 @ SV94 @ SV224 @ SV271 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[613]) ).

thf(679,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
                      | ~ ( coll @ SV272 @ SV96 @ SV163 ) )
                | ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) ) )
        = $true )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[615]) ).

thf(680,plain,
    ! [SV226: $i,SV164: $i,SV97: $i,SV30: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV30 @ SV97 @ SV164 @ SV226 @ SV164 @ SV226 @ SV30 @ SV97 )
              | ~ ~ ( perp @ SV30 @ SV97 @ SV164 @ SV226 ) ) )
        = $false )
      | ( ( para @ SV30 @ SV97 @ SV164 @ SV226 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[616]) ).

thf(681,plain,
    ! [SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ! [SY1206: $i] :
            ~ ! [SY1207: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                                    | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                              | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
                        | ~ ( coll @ SV227 @ SV31 @ SV98 ) )
                  | ( midp @ SY1207 @ SV31 @ SY1206 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[617]) ).

thf(682,plain,
    ! [SV303: $i,SV274: $i,SV228: $i,SV166: $i,SV99: $i,SV32: $i] :
      ( ( ~ ~ ( ~ ( para @ SV32 @ SV99 @ SV166 @ SV228 )
              | ~ ( perp @ SV166 @ SV228 @ SV274 @ SV303 ) )
        | ( perp @ SV32 @ SV99 @ SV274 @ SV303 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[618]) ).

thf(683,plain,
    ! [SV304: $i,SV275: $i,SV229: $i,SV168: $i,SV101: $i,SV34: $i] :
      ( ( ~ ( simtri @ SV34 @ SV101 @ SV168 @ SV229 @ SV275 @ SV304 )
        | ( eqangle @ SV34 @ SV101 @ SV101 @ SV168 @ SV229 @ SV275 @ SV275 @ SV304 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[620]) ).

thf(684,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ! [SY1165: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
                    | ~ ( coll @ SV102 @ SV230 @ SV276 ) )
              | ~ ( ~ ( coll @ SY1165 @ SV230 @ SV276 )
                  | ~ ( perp @ SY1165 @ SV35 @ SV230 @ SV276 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[621]) ).

thf(685,plain,
    ! [SV305: $i,SV277: $i,SV231: $i,SV170: $i,SV103: $i,SV36: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV36 @ SV103 @ SV170 @ SV231 )
              | ~ ( perp @ SV170 @ SV231 @ SV277 @ SV305 ) )
        | ( para @ SV36 @ SV103 @ SV277 @ SV305 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[622]) ).

thf(686,plain,
    ! [SV232: $i,SV104: $i,SV171: $i,SV37: $i] :
      ( ( ( ~ ( ~ ( cong @ SV37 @ SV171 @ SV104 @ SV171 )
              | ~ ( cong @ SV37 @ SV232 @ SV104 @ SV232 ) ) )
        = $false )
      | ( ( perp @ SV37 @ SV104 @ SV171 @ SV232 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(687,plain,
    ! [SV306: $i,SV278: $i,SV233: $i,SV172: $i,SV105: $i,SV38: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV38 @ SV105 @ SV172 @ SV233 )
              | ~ ( cong @ SV172 @ SV233 @ SV278 @ SV306 ) )
        | ( cong @ SV38 @ SV105 @ SV278 @ SV306 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[624]) ).

thf(688,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
              | ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) )
        | ~ ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
            | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[625]) ).

thf(689,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ~ ! [SY1208: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                                  | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                            | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
                      | ~ ( coll @ SV307 @ SV40 @ SV107 ) )
                | ~ ( ~ ( coll @ SV279 @ SV307 @ SY1208 )
                    | ~ ( coll @ SY1208 @ SV174 @ SV234 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[626]) ).

thf(690,plain,
    ! [SV308: $i,SV280: $i,SV235: $i,SV175: $i,SV108: $i,SV41: $i] :
      ( ( ! [SY1209: $i,SY1210: $i] :
            ( ~ ( eqangle @ SV41 @ SV108 @ SV175 @ SV235 @ SV280 @ SV308 @ SY1209 @ SY1210 )
            | ( eqangle @ SV108 @ SV41 @ SV175 @ SV235 @ SV280 @ SV308 @ SY1209 @ SY1210 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[627]) ).

thf(691,plain,
    ! [SV236: $i,SV176: $i,SV109: $i,SV42: $i] :
      ( ( ( ~ ( ~ ( perp @ SV42 @ SV109 @ SV109 @ SV176 )
              | ~ ( midp @ SV236 @ SV42 @ SV176 ) ) )
        = $false )
      | ( ( cong @ SV42 @ SV236 @ SV109 @ SV236 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[628]) ).

thf(692,plain,
    ! [SV237: $i,SV110: $i,SV43: $i,SV177: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV177 @ SV43 @ SV177 @ SV110 @ SV237 @ SV43 @ SV237 @ SV110 )
              | ~ ( coll @ SV177 @ SV237 @ SV110 ) ) )
        = $false )
      | ( ( cyclic @ SV43 @ SV110 @ SV177 @ SV237 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[629]) ).

thf(693,plain,
    ! [SV309: $i,SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ! [SY1211: $i,SY1212: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SY1211 @ SY1212 )
                  | ~ ( perp @ SV281 @ SV309 @ SY1211 @ SY1212 ) )
            | ( perp @ SV44 @ SV111 @ SV178 @ SV238 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[630]) ).

thf(694,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
                  | ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) )
            | ~ ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
                | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[631]) ).

thf(695,plain,
    ! [SV310: $i,SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ! [SY1213: $i,SY1214: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SY1213 @ SY1214 )
                  | ~ ( cong @ SV282 @ SV310 @ SY1213 @ SY1214 ) )
            | ( cong @ SV46 @ SV113 @ SV180 @ SV240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[632]) ).

thf(696,plain,
    ! [SV241: $i,SV114: $i,SV47: $i,SV181: $i] :
      ( ( ( ~ ( ~ ( midp @ SV181 @ SV47 @ SV114 )
              | ~ ( perp @ SV241 @ SV181 @ SV47 @ SV114 ) ) )
        = $false )
      | ( ( cong @ SV241 @ SV47 @ SV241 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[633]) ).

thf(697,plain,
    ! [SV242: $i,SV182: $i,SV115: $i,SV48: $i] :
      ( ( ( cong @ SV48 @ SV115 @ SV182 @ SV242 )
        = $false )
      | ( ( cong @ SV48 @ SV115 @ SV242 @ SV182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(698,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
                      | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) )
                | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) ) )
        = $true )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[635]) ).

thf(699,plain,
    ! [SV311: $i,SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ! [SY1215: $i,SY1216: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SY1215 @ SY1216 )
                  | ~ ( para @ SV284 @ SV311 @ SY1215 @ SY1216 ) )
            | ( para @ SV50 @ SV117 @ SV184 @ SV244 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[636]) ).

thf(700,plain,
    ! [SV185: $i,SV118: $i,SV51: $i,SV245: $i] :
      ( ( ~ ( ~ ( circle @ SV245 @ SV51 @ SV118 @ SV185 )
            | ( perp @ ( sK13_SY1117 @ SV185 @ SV118 @ SV51 @ SV245 ) @ SV51 @ SV51 @ SV245 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[637]) ).

thf(701,plain,
    ! [SV246: $i,SV186: $i,SV119: $i,SV52: $i] :
      ( ( ( perp @ SV52 @ SV119 @ SV186 @ SV246 )
        = $false )
      | ( ( perp @ SV52 @ SV119 @ SV246 @ SV186 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[638]) ).

thf(702,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
                    | ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) )
              | ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) ) )
        = $false )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[639]) ).

thf(703,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
                  | ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) )
            | ~ ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
                | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[640]) ).

thf(704,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ! [SY1182: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                          | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
                    | ~ ( midp @ SV285 @ SV122 @ SV249 ) )
              | ( midp @ SY1182 @ SV55 @ SV189 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(705,plain,
    ! [SV250: $i,SV190: $i,SV312: $i,SV286: $i,SV123: $i,SV56: $i] :
      ( ( ~ ( eqangle @ SV56 @ SV123 @ SV286 @ SV312 @ SV190 @ SV250 @ SV286 @ SV312 )
        | ( para @ SV56 @ SV123 @ SV190 @ SV250 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[642]) ).

thf(706,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ! [SY1184: $i] :
            ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
                    | ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) )
              | ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SY1184 )
                        | ~ ( para @ SY1184 @ SV191 @ SV57 @ SV124 ) )
                  | ~ ( cong @ SV124 @ SV191 @ SV124 @ SY1184 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(707,plain,
    ! [SV288: $i,SV192: $i,SV125: $i,SV58: $i,SV252: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV252 @ SV58 @ SV125 @ SV192 )
                | ~ ( perp @ SV252 @ SV58 @ SV58 @ SV288 ) ) )
        = $true )
      | ( ( eqangle @ SV58 @ SV288 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[644]) ).

thf(708,plain,
    ! [SV289: $i,SV193: $i,SV126: $i,SV59: $i,SV253: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV253 @ SV59 @ SV126 @ SV193 )
                | ~ ( eqangle @ SV59 @ SV289 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 ) ) )
        = $true )
      | ( ( perp @ SV253 @ SV59 @ SV59 @ SV289 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[645]) ).

thf(709,plain,
    ! [SV313: $i,SV290: $i,SV254: $i,SV194: $i,SV127: $i,SV60: $i] :
      ( ( ~ ~ ( ~ ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
              | ~ ( cong @ SV60 @ SV127 @ SV254 @ SV290 ) )
        | ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[646]) ).

thf(710,plain,
    ! [SV255: $i,SV195: $i,SV128: $i,SV61: $i] :
      ( ( ( ~ ( ~ ( coll @ SV61 @ SV128 @ SV195 )
              | ~ ( coll @ SV61 @ SV128 @ SV255 ) ) )
        = $false )
      | ( ( coll @ SV195 @ SV255 @ SV61 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(711,plain,
    ! [SV314: $i,SV291: $i,SV256: $i,SV197: $i,SV130: $i,SV63: $i] :
      ( ( ! [SY1217: $i,SY1218: $i] :
            ( ~ ( eqangle @ SV63 @ SV130 @ SV197 @ SV256 @ SV291 @ SV314 @ SY1217 @ SY1218 )
            | ( eqangle @ SV291 @ SV314 @ SY1217 @ SY1218 @ SV63 @ SV130 @ SV197 @ SV256 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[649]) ).

thf(712,plain,
    ! [SV315: $i,SV292: $i,SV257: $i,SV199: $i,SV132: $i,SV65: $i] :
      ( ( ! [SY1219: $i,SY1220: $i] :
            ( ~ ( eqangle @ SV65 @ SV132 @ SV199 @ SV257 @ SV292 @ SV315 @ SY1219 @ SY1220 )
            | ( eqangle @ SV199 @ SV257 @ SV65 @ SV132 @ SY1219 @ SY1220 @ SV292 @ SV315 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[651]) ).

thf(713,plain,
    ! [SV258: $i,SV200: $i,SV133: $i,SV66: $i] :
      ( ( ( perp @ SV66 @ SV133 @ SV200 @ SV258 )
        = $false )
      | ( ( perp @ SV200 @ SV258 @ SV66 @ SV133 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(714,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ! [SY1192: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                          | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
                    | ~ ( midp @ SV293 @ SV67 @ SV134 ) )
              | ( circle @ SY1192 @ SV67 @ SV134 @ SV201 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[653]) ).

thf(715,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ! [SY1193: $i] :
            ~ ~ ! [SY1194: $i] :
                  ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                                      | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                                | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
                          | ~ ( ( SV260 != SV294 ) ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY1193 @ SV1 @ SV135 )
                                    | ~ ( cong @ SY1193 @ SV294 @ SV294 @ SV1 ) )
                              | ~ ( coll @ SY1194 @ SV68 @ SV202 ) )
                        | ~ ( cong @ SY1194 @ SV294 @ SV294 @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[654]) ).

thf(716,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
              | ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) )
        | ~ ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
            | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[655]) ).

thf(717,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
                  | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
            | ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
                | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[656]) ).

thf(718,plain,
    ! [SV205: $i,SV71: $i,SV4: $i,SV138: $i] :
      ( ( ( ~ ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SV205 @ SV4 @ SV205 @ SV71 )
          | ~ ~ ( coll @ SV138 @ SV205 @ SV4 ) )
        = $true )
      | ( ( cyclic @ SV4 @ SV71 @ SV138 @ SV205 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[657]) ).

thf(719,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
              | ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) )
        | ~ ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
            | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[658]) ).

thf(720,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 )
                    | ~ ( coll @ SV262 @ SV6 @ SV140 ) )
              | ~ ( coll @ SV262 @ SV73 @ SV207 ) ) )
        = $false )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(721,plain,
    ! [SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY1221: $i,SY1222: $i,SY1223: $i,SY1224: $i,SY1225: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SY1221 )
                  | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SY1221 @ SY1222 @ SY1223 @ SY1224 @ SY1225 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SY1222 @ SY1223 @ SY1224 @ SY1225 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[660]) ).

thf(722,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
              | ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) )
        | ( circle @ ( sK10_SY1060 @ SV209 @ SV75 @ SV142 @ SV8 ) @ SV8 @ SV75 @ SV142 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[661]) ).

thf(723,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ~ ! [SY1226: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                                  | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
                            | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
                      | ~ ( coll @ SV210 @ SV264 @ SV296 ) )
                | ~ ( ~ ( coll @ SY1226 @ SV9 @ SV264 )
                    | ~ ( coll @ SY1226 @ SV317 @ SV296 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[662]) ).

thf(724,plain,
    ! [SV211: $i,SV145: $i,SV78: $i,SV11: $i] :
      ( ( ( ~ ( eqangle @ SV11 @ SV78 @ SV145 @ SV211 @ SV145 @ SV211 @ SV11 @ SV78 )
          | ~ ~ ( para @ SV11 @ SV78 @ SV145 @ SV211 ) )
        = $true )
      | ( ( perp @ SV11 @ SV78 @ SV145 @ SV211 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[663]) ).

thf(725,plain,
    ! [SV297: $i,SV265: $i,SV212: $i,SV146: $i,SV79: $i,SV12: $i] :
      ( ( ( ~ ( para @ SV12 @ SV79 @ SV146 @ SV212 ) )
        = $true )
      | ( ( eqangle @ SV12 @ SV79 @ SV265 @ SV297 @ SV146 @ SV212 @ SV265 @ SV297 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[664]) ).

thf(726,plain,
    ! [SV214: $i,SV148: $i,SV81: $i,SV14: $i] :
      ( ( ( ~ ( cyclic @ SV14 @ SV81 @ SV148 @ SV214 )
          | ~ ( para @ SV14 @ SV81 @ SV148 @ SV214 ) )
        = $true )
      | ( ( eqangle @ SV14 @ SV214 @ SV148 @ SV214 @ SV148 @ SV214 @ SV148 @ SV81 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[666]) ).

thf(727,plain,
    ! [SV149: $i,SV82: $i,SV15: $i] :
      ( ( ( ~ ( cong @ SV15 @ SV82 @ SV15 @ SV149 ) )
        = $true )
      | ( ( ~ ( coll @ SV15 @ SV82 @ SV149 ) )
        = $true )
      | ( ( midp @ SV15 @ SV82 @ SV149 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[667]) ).

thf(728,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
                      | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) )
                | ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) ) )
        = $true )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[668]) ).

thf(729,plain,
    ! [SV318: $i,SV299: $i,SV267: $i,SV217: $i,SV153: $i,SV86: $i,SV19: $i] :
      ( ( ! [SY1227: $i] :
            ( ~ ( eqangle @ SV19 @ SV86 @ SV153 @ SV217 @ SV267 @ SV299 @ SV318 @ SY1227 )
            | ( eqangle @ SV19 @ SV86 @ SV267 @ SV299 @ SV153 @ SV217 @ SV318 @ SY1227 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[670]) ).

thf(730,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ~ ! [SY1205: $i] :
              ~ ( ~ ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
                      | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                                | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                          | ~ ( coll @ SY1205 @ SV154 @ SV20 ) )
                    | ~ ( perp @ SV87 @ SY1205 @ SV154 @ SV20 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[671]) ).

thf(731,plain,
    ! [SV88: $i,SV21: $i,SV155: $i] :
      ( ( ( ~ ( eqangle @ SV155 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SV155 @ SV88 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV155 @ SV21 @ SV88 ) )
        = $true )
      | ( ( cong @ SV155 @ SV21 @ SV155 @ SV88 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[672]) ).

thf(732,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV219 @ SV22 @ SV89 )
                    | ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) )
              | ~ ( coll @ SV268 @ SV22 @ SV156 ) ) )
        = $false )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(733,plain,
    ! [SV157: $i,SV90: $i,SV23: $i,SV220: $i] :
      ( ( ( ~ ( circle @ SV220 @ SV23 @ SV90 @ SV157 )
          | ~ ( coll @ SV220 @ SV23 @ SV157 ) )
        = $true )
      | ( ( perp @ SV23 @ SV90 @ SV90 @ SV157 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[674]) ).

thf(734,plain,
    ! [SV300: $i,SV269: $i,SV221: $i,SV158: $i,SV91: $i,SV24: $i] :
      ( ( ( ~ ( contri @ SV24 @ SV91 @ SV158 @ SV221 @ SV269 @ SV300 ) )
        = $true )
      | ( ( cong @ SV24 @ SV91 @ SV221 @ SV269 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[675]) ).

thf(735,plain,
    ! [SV270: $i,SV159: $i,SV92: $i,SV25: $i,SV222: $i] :
      ( ( ( ~ ( ~ ( circle @ SV222 @ SV25 @ SV92 @ SV159 )
              | ~ ( midp @ SV270 @ SV92 @ SV159 ) ) )
        = $false )
      | ( ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SV222 @ SV92 @ SV222 @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[676]) ).

thf(736,plain,
    ! [SV160: $i,SV93: $i,SV26: $i,SV223: $i] :
      ( ( ( ~ ( cong @ SV223 @ SV26 @ SV223 @ SV93 )
          | ~ ( cong @ SV223 @ SV26 @ SV223 @ SV160 ) )
        = $true )
      | ( ( circle @ SV223 @ SV26 @ SV93 @ SV160 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[677]) ).

thf(737,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                            | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
                      | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
                | ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[678]) ).

thf(738,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
                    | ~ ( coll @ SV272 @ SV96 @ SV163 ) )
              | ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) ) )
        = $false )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(739,plain,
    ! [SV226: $i,SV164: $i,SV97: $i,SV30: $i] :
      ( ( ( ~ ( eqangle @ SV30 @ SV97 @ SV164 @ SV226 @ SV164 @ SV226 @ SV30 @ SV97 )
          | ~ ~ ( perp @ SV30 @ SV97 @ SV164 @ SV226 ) )
        = $true )
      | ( ( para @ SV30 @ SV97 @ SV164 @ SV226 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[680]) ).

thf(740,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ~ ! [SY1228: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                                  | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                            | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
                      | ~ ( coll @ SV227 @ SV31 @ SV98 ) )
                | ( midp @ SY1228 @ SV31 @ SV319 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[681]) ).

thf(741,plain,
    ! [SV303: $i,SV274: $i,SV228: $i,SV166: $i,SV99: $i,SV32: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV32 @ SV99 @ SV166 @ SV228 )
                | ~ ( perp @ SV166 @ SV228 @ SV274 @ SV303 ) ) )
        = $true )
      | ( ( perp @ SV32 @ SV99 @ SV274 @ SV303 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[682]) ).

thf(742,plain,
    ! [SV304: $i,SV275: $i,SV229: $i,SV168: $i,SV101: $i,SV34: $i] :
      ( ( ( ~ ( simtri @ SV34 @ SV101 @ SV168 @ SV229 @ SV275 @ SV304 ) )
        = $true )
      | ( ( eqangle @ SV34 @ SV101 @ SV101 @ SV168 @ SV229 @ SV275 @ SV275 @ SV304 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[683]) ).

thf(743,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
                  | ~ ( coll @ SV102 @ SV230 @ SV276 ) )
            | ~ ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
                | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[684]) ).

thf(744,plain,
    ! [SV305: $i,SV277: $i,SV231: $i,SV170: $i,SV103: $i,SV36: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV36 @ SV103 @ SV170 @ SV231 )
                | ~ ( perp @ SV170 @ SV231 @ SV277 @ SV305 ) ) )
        = $true )
      | ( ( para @ SV36 @ SV103 @ SV277 @ SV305 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[685]) ).

thf(745,plain,
    ! [SV232: $i,SV104: $i,SV171: $i,SV37: $i] :
      ( ( ( ~ ( cong @ SV37 @ SV171 @ SV104 @ SV171 )
          | ~ ( cong @ SV37 @ SV232 @ SV104 @ SV232 ) )
        = $true )
      | ( ( perp @ SV37 @ SV104 @ SV171 @ SV232 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[686]) ).

thf(746,plain,
    ! [SV306: $i,SV278: $i,SV233: $i,SV172: $i,SV105: $i,SV38: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV38 @ SV105 @ SV172 @ SV233 )
                | ~ ( cong @ SV172 @ SV233 @ SV278 @ SV306 ) ) )
        = $true )
      | ( ( cong @ SV38 @ SV105 @ SV278 @ SV306 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[687]) ).

thf(747,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
                | ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
              | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[688]) ).

thf(748,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ! [SY1208: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                                | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                          | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
                    | ~ ( coll @ SV307 @ SV40 @ SV107 ) )
              | ~ ( ~ ( coll @ SV279 @ SV307 @ SY1208 )
                  | ~ ( coll @ SY1208 @ SV174 @ SV234 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(749,plain,
    ! [SV320: $i,SV308: $i,SV280: $i,SV235: $i,SV175: $i,SV108: $i,SV41: $i] :
      ( ( ! [SY1229: $i] :
            ( ~ ( eqangle @ SV41 @ SV108 @ SV175 @ SV235 @ SV280 @ SV308 @ SV320 @ SY1229 )
            | ( eqangle @ SV108 @ SV41 @ SV175 @ SV235 @ SV280 @ SV308 @ SV320 @ SY1229 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[690]) ).

thf(750,plain,
    ! [SV236: $i,SV176: $i,SV109: $i,SV42: $i] :
      ( ( ( ~ ( perp @ SV42 @ SV109 @ SV109 @ SV176 )
          | ~ ( midp @ SV236 @ SV42 @ SV176 ) )
        = $true )
      | ( ( cong @ SV42 @ SV236 @ SV109 @ SV236 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(751,plain,
    ! [SV237: $i,SV110: $i,SV43: $i,SV177: $i] :
      ( ( ( ~ ( eqangle @ SV177 @ SV43 @ SV177 @ SV110 @ SV237 @ SV43 @ SV237 @ SV110 )
          | ~ ( coll @ SV177 @ SV237 @ SV110 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV110 @ SV177 @ SV237 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(752,plain,
    ! [SV321: $i,SV309: $i,SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ! [SY1230: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SV321 @ SY1230 )
                  | ~ ( perp @ SV281 @ SV309 @ SV321 @ SY1230 ) )
            | ( perp @ SV44 @ SV111 @ SV178 @ SV238 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[693]) ).

thf(753,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
              | ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) )
        | ~ ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
            | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[694]) ).

thf(754,plain,
    ! [SV322: $i,SV310: $i,SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ! [SY1231: $i] :
            ( ~ ~ ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SV322 @ SY1231 )
                  | ~ ( cong @ SV282 @ SV310 @ SV322 @ SY1231 ) )
            | ( cong @ SV46 @ SV113 @ SV180 @ SV240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[695]) ).

thf(755,plain,
    ! [SV241: $i,SV114: $i,SV47: $i,SV181: $i] :
      ( ( ( ~ ( midp @ SV181 @ SV47 @ SV114 )
          | ~ ( perp @ SV241 @ SV181 @ SV47 @ SV114 ) )
        = $true )
      | ( ( cong @ SV241 @ SV47 @ SV241 @ SV114 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[696]) ).

thf(756,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
                    | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) )
              | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) ) )
        = $false )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(757,plain,
    ! [SV323: $i,SV311: $i,SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ! [SY1232: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SV323 @ SY1232 )
                  | ~ ( para @ SV284 @ SV311 @ SV323 @ SY1232 ) )
            | ( para @ SV50 @ SV117 @ SV184 @ SV244 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[699]) ).

thf(758,plain,
    ! [SV185: $i,SV118: $i,SV51: $i,SV245: $i] :
      ( ( ~ ( circle @ SV245 @ SV51 @ SV118 @ SV185 )
        | ( perp @ ( sK13_SY1117 @ SV185 @ SV118 @ SV51 @ SV245 ) @ SV51 @ SV51 @ SV245 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(759,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
                | ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) )
          | ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) )
        = $true )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[702]) ).

thf(760,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
              | ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) )
        | ~ ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
            | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(761,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                        | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
                  | ~ ( midp @ SV285 @ SV122 @ SV249 ) )
            | ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[704]) ).

thf(762,plain,
    ! [SV250: $i,SV190: $i,SV312: $i,SV286: $i,SV123: $i,SV56: $i] :
      ( ( ( ~ ( eqangle @ SV56 @ SV123 @ SV286 @ SV312 @ SV190 @ SV250 @ SV286 @ SV312 ) )
        = $true )
      | ( ( para @ SV56 @ SV123 @ SV190 @ SV250 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[705]) ).

thf(763,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
                  | ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) )
            | ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                      | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
                | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[706]) ).

thf(764,plain,
    ! [SV288: $i,SV192: $i,SV125: $i,SV58: $i,SV252: $i] :
      ( ( ( ~ ( ~ ( circle @ SV252 @ SV58 @ SV125 @ SV192 )
              | ~ ( perp @ SV252 @ SV58 @ SV58 @ SV288 ) ) )
        = $false )
      | ( ( eqangle @ SV58 @ SV288 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(765,plain,
    ! [SV289: $i,SV193: $i,SV126: $i,SV59: $i,SV253: $i] :
      ( ( ( ~ ( ~ ( circle @ SV253 @ SV59 @ SV126 @ SV193 )
              | ~ ( eqangle @ SV59 @ SV289 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 ) ) )
        = $false )
      | ( ( perp @ SV253 @ SV59 @ SV59 @ SV289 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(766,plain,
    ! [SV313: $i,SV290: $i,SV254: $i,SV194: $i,SV127: $i,SV60: $i] :
      ( ( ( ~ ~ ( ~ ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
                | ~ ( cong @ SV60 @ SV127 @ SV254 @ SV290 ) ) )
        = $true )
      | ( ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[709]) ).

thf(767,plain,
    ! [SV255: $i,SV195: $i,SV128: $i,SV61: $i] :
      ( ( ( ~ ( coll @ SV61 @ SV128 @ SV195 )
          | ~ ( coll @ SV61 @ SV128 @ SV255 ) )
        = $true )
      | ( ( coll @ SV195 @ SV255 @ SV61 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[710]) ).

thf(768,plain,
    ! [SV324: $i,SV314: $i,SV291: $i,SV256: $i,SV197: $i,SV130: $i,SV63: $i] :
      ( ( ! [SY1233: $i] :
            ( ~ ( eqangle @ SV63 @ SV130 @ SV197 @ SV256 @ SV291 @ SV314 @ SV324 @ SY1233 )
            | ( eqangle @ SV291 @ SV314 @ SV324 @ SY1233 @ SV63 @ SV130 @ SV197 @ SV256 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[711]) ).

thf(769,plain,
    ! [SV325: $i,SV315: $i,SV292: $i,SV257: $i,SV199: $i,SV132: $i,SV65: $i] :
      ( ( ! [SY1234: $i] :
            ( ~ ( eqangle @ SV65 @ SV132 @ SV199 @ SV257 @ SV292 @ SV315 @ SV325 @ SY1234 )
            | ( eqangle @ SV199 @ SV257 @ SV65 @ SV132 @ SV325 @ SY1234 @ SV292 @ SV315 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[712]) ).

thf(770,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                        | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
                  | ~ ( midp @ SV293 @ SV67 @ SV134 ) )
            | ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[714]) ).

thf(771,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ~ ~ ! [SY1235: $i] :
                ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                                    | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                              | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
                        | ~ ( ( SV260 != SV294 ) ) )
                  | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                                  | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                            | ~ ( coll @ SY1235 @ SV68 @ SV202 ) )
                      | ~ ( cong @ SY1235 @ SV294 @ SV294 @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[715]) ).

thf(772,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
                | ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
              | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[716]) ).

thf(773,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
              | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
        | ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
            | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[717]) ).

thf(774,plain,
    ! [SV205: $i,SV71: $i,SV4: $i,SV138: $i] :
      ( ( ( ~ ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SV205 @ SV4 @ SV205 @ SV71 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV138 @ SV205 @ SV4 ) )
        = $true )
      | ( ( cyclic @ SV4 @ SV71 @ SV138 @ SV205 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[718]) ).

thf(775,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
                | ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
              | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[719]) ).

thf(776,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 )
                | ~ ( coll @ SV262 @ SV6 @ SV140 ) )
          | ~ ( coll @ SV262 @ SV73 @ SV207 ) )
        = $true )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[720]) ).

thf(777,plain,
    ! [SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY1236: $i,SY1237: $i,SY1238: $i,SY1239: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
                  | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SY1236 @ SY1237 @ SY1238 @ SY1239 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SY1236 @ SY1237 @ SY1238 @ SY1239 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[721]) ).

thf(778,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
                | ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) ) )
        = $true )
      | ( ( circle @ ( sK10_SY1060 @ SV209 @ SV75 @ SV142 @ SV8 ) @ SV8 @ SV75 @ SV142 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[722]) ).

thf(779,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ! [SY1226: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                                | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
                          | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
                    | ~ ( coll @ SV210 @ SV264 @ SV296 ) )
              | ~ ( ~ ( coll @ SY1226 @ SV9 @ SV264 )
                  | ~ ( coll @ SY1226 @ SV317 @ SV296 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[723]) ).

thf(780,plain,
    ! [SV211: $i,SV145: $i,SV78: $i,SV11: $i] :
      ( ( ( ~ ( eqangle @ SV11 @ SV78 @ SV145 @ SV211 @ SV145 @ SV211 @ SV11 @ SV78 ) )
        = $true )
      | ( ( ~ ~ ( para @ SV11 @ SV78 @ SV145 @ SV211 ) )
        = $true )
      | ( ( perp @ SV11 @ SV78 @ SV145 @ SV211 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[724]) ).

thf(781,plain,
    ! [SV297: $i,SV265: $i,SV212: $i,SV146: $i,SV79: $i,SV12: $i] :
      ( ( ( para @ SV12 @ SV79 @ SV146 @ SV212 )
        = $false )
      | ( ( eqangle @ SV12 @ SV79 @ SV265 @ SV297 @ SV146 @ SV212 @ SV265 @ SV297 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[725]) ).

thf(782,plain,
    ! [SV214: $i,SV148: $i,SV81: $i,SV14: $i] :
      ( ( ( ~ ( cyclic @ SV14 @ SV81 @ SV148 @ SV214 ) )
        = $true )
      | ( ( ~ ( para @ SV14 @ SV81 @ SV148 @ SV214 ) )
        = $true )
      | ( ( eqangle @ SV14 @ SV214 @ SV148 @ SV214 @ SV148 @ SV214 @ SV148 @ SV81 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[726]) ).

thf(783,plain,
    ! [SV149: $i,SV82: $i,SV15: $i] :
      ( ( ( cong @ SV15 @ SV82 @ SV15 @ SV149 )
        = $false )
      | ( ( ~ ( coll @ SV15 @ SV82 @ SV149 ) )
        = $true )
      | ( ( midp @ SV15 @ SV82 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[727]) ).

thf(784,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
                    | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) )
              | ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) ) )
        = $false )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[728]) ).

thf(785,plain,
    ! [SV327: $i,SV318: $i,SV299: $i,SV267: $i,SV217: $i,SV153: $i,SV86: $i,SV19: $i] :
      ( ( ~ ( eqangle @ SV19 @ SV86 @ SV153 @ SV217 @ SV267 @ SV299 @ SV318 @ SV327 )
        | ( eqangle @ SV19 @ SV86 @ SV267 @ SV299 @ SV153 @ SV217 @ SV318 @ SV327 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[729]) ).

thf(786,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ! [SY1205: $i] :
            ~ ( ~ ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
                    | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                              | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                        | ~ ( coll @ SY1205 @ SV154 @ SV20 ) )
                  | ~ ( perp @ SV87 @ SY1205 @ SV154 @ SV20 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[730]) ).

thf(787,plain,
    ! [SV88: $i,SV21: $i,SV155: $i] :
      ( ( ( eqangle @ SV155 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SV155 @ SV88 )
        = $false )
      | ( ( ~ ~ ( coll @ SV155 @ SV21 @ SV88 ) )
        = $true )
      | ( ( cong @ SV155 @ SV21 @ SV155 @ SV88 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[731]) ).

thf(788,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV219 @ SV22 @ SV89 )
                | ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) )
          | ~ ( coll @ SV268 @ SV22 @ SV156 ) )
        = $true )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[732]) ).

thf(789,plain,
    ! [SV157: $i,SV90: $i,SV23: $i,SV220: $i] :
      ( ( ( ~ ( circle @ SV220 @ SV23 @ SV90 @ SV157 ) )
        = $true )
      | ( ( ~ ( coll @ SV220 @ SV23 @ SV157 ) )
        = $true )
      | ( ( perp @ SV23 @ SV90 @ SV90 @ SV157 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[733]) ).

thf(790,plain,
    ! [SV300: $i,SV269: $i,SV221: $i,SV158: $i,SV91: $i,SV24: $i] :
      ( ( ( contri @ SV24 @ SV91 @ SV158 @ SV221 @ SV269 @ SV300 )
        = $false )
      | ( ( cong @ SV24 @ SV91 @ SV221 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(791,plain,
    ! [SV270: $i,SV159: $i,SV92: $i,SV25: $i,SV222: $i] :
      ( ( ( ~ ( circle @ SV222 @ SV25 @ SV92 @ SV159 )
          | ~ ( midp @ SV270 @ SV92 @ SV159 ) )
        = $true )
      | ( ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SV222 @ SV92 @ SV222 @ SV270 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[735]) ).

thf(792,plain,
    ! [SV160: $i,SV93: $i,SV26: $i,SV223: $i] :
      ( ( ( ~ ( cong @ SV223 @ SV26 @ SV223 @ SV93 ) )
        = $true )
      | ( ( ~ ( cong @ SV223 @ SV26 @ SV223 @ SV160 ) )
        = $true )
      | ( ( circle @ SV223 @ SV26 @ SV93 @ SV160 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[736]) ).

thf(793,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                          | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
                    | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
              | ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) ) )
        = $false )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[737]) ).

thf(794,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
                | ~ ( coll @ SV272 @ SV96 @ SV163 ) )
          | ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) )
        = $true )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(795,plain,
    ! [SV226: $i,SV164: $i,SV97: $i,SV30: $i] :
      ( ( ( ~ ( eqangle @ SV30 @ SV97 @ SV164 @ SV226 @ SV164 @ SV226 @ SV30 @ SV97 ) )
        = $true )
      | ( ( ~ ~ ( perp @ SV30 @ SV97 @ SV164 @ SV226 ) )
        = $true )
      | ( ( para @ SV30 @ SV97 @ SV164 @ SV226 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[739]) ).

thf(796,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ! [SY1228: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                                | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                          | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
                    | ~ ( coll @ SV227 @ SV31 @ SV98 ) )
              | ( midp @ SY1228 @ SV31 @ SV319 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[740]) ).

thf(797,plain,
    ! [SV303: $i,SV274: $i,SV228: $i,SV166: $i,SV99: $i,SV32: $i] :
      ( ( ( ~ ( ~ ( para @ SV32 @ SV99 @ SV166 @ SV228 )
              | ~ ( perp @ SV166 @ SV228 @ SV274 @ SV303 ) ) )
        = $false )
      | ( ( perp @ SV32 @ SV99 @ SV274 @ SV303 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(798,plain,
    ! [SV304: $i,SV275: $i,SV229: $i,SV168: $i,SV101: $i,SV34: $i] :
      ( ( ( simtri @ SV34 @ SV101 @ SV168 @ SV229 @ SV275 @ SV304 )
        = $false )
      | ( ( eqangle @ SV34 @ SV101 @ SV101 @ SV168 @ SV229 @ SV275 @ SV275 @ SV304 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(799,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
              | ~ ( coll @ SV102 @ SV230 @ SV276 ) )
        | ~ ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
            | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[743]) ).

thf(800,plain,
    ! [SV305: $i,SV277: $i,SV231: $i,SV170: $i,SV103: $i,SV36: $i] :
      ( ( ( ~ ( ~ ( perp @ SV36 @ SV103 @ SV170 @ SV231 )
              | ~ ( perp @ SV170 @ SV231 @ SV277 @ SV305 ) ) )
        = $false )
      | ( ( para @ SV36 @ SV103 @ SV277 @ SV305 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[744]) ).

thf(801,plain,
    ! [SV232: $i,SV104: $i,SV171: $i,SV37: $i] :
      ( ( ( ~ ( cong @ SV37 @ SV171 @ SV104 @ SV171 ) )
        = $true )
      | ( ( ~ ( cong @ SV37 @ SV232 @ SV104 @ SV232 ) )
        = $true )
      | ( ( perp @ SV37 @ SV104 @ SV171 @ SV232 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[745]) ).

thf(802,plain,
    ! [SV306: $i,SV278: $i,SV233: $i,SV172: $i,SV105: $i,SV38: $i] :
      ( ( ( ~ ( ~ ( cong @ SV38 @ SV105 @ SV172 @ SV233 )
              | ~ ( cong @ SV172 @ SV233 @ SV278 @ SV306 ) ) )
        = $false )
      | ( ( cong @ SV38 @ SV105 @ SV278 @ SV306 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[746]) ).

thf(803,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ( ~ ( ~ ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
              | ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
              | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[747]) ).

thf(804,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                              | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                        | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
                  | ~ ( coll @ SV307 @ SV40 @ SV107 ) )
            | ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
                | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[748]) ).

thf(805,plain,
    ! [SV328: $i,SV320: $i,SV308: $i,SV280: $i,SV235: $i,SV175: $i,SV108: $i,SV41: $i] :
      ( ( ~ ( eqangle @ SV41 @ SV108 @ SV175 @ SV235 @ SV280 @ SV308 @ SV320 @ SV328 )
        | ( eqangle @ SV108 @ SV41 @ SV175 @ SV235 @ SV280 @ SV308 @ SV320 @ SV328 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[749]) ).

thf(806,plain,
    ! [SV236: $i,SV176: $i,SV109: $i,SV42: $i] :
      ( ( ( ~ ( perp @ SV42 @ SV109 @ SV109 @ SV176 ) )
        = $true )
      | ( ( ~ ( midp @ SV236 @ SV42 @ SV176 ) )
        = $true )
      | ( ( cong @ SV42 @ SV236 @ SV109 @ SV236 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[750]) ).

thf(807,plain,
    ! [SV237: $i,SV110: $i,SV43: $i,SV177: $i] :
      ( ( ( ~ ( eqangle @ SV177 @ SV43 @ SV177 @ SV110 @ SV237 @ SV43 @ SV237 @ SV110 ) )
        = $true )
      | ( ( ~ ( coll @ SV177 @ SV237 @ SV110 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV110 @ SV177 @ SV237 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[751]) ).

thf(808,plain,
    ! [SV329: $i,SV321: $i,SV309: $i,SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SV321 @ SV329 )
              | ~ ( perp @ SV281 @ SV309 @ SV321 @ SV329 ) )
        | ( perp @ SV44 @ SV111 @ SV178 @ SV238 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[752]) ).

thf(809,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
                | ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
              | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[753]) ).

thf(810,plain,
    ! [SV330: $i,SV322: $i,SV310: $i,SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ~ ~ ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SV322 @ SV330 )
              | ~ ( cong @ SV282 @ SV310 @ SV322 @ SV330 ) )
        | ( cong @ SV46 @ SV113 @ SV180 @ SV240 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[754]) ).

thf(811,plain,
    ! [SV241: $i,SV114: $i,SV47: $i,SV181: $i] :
      ( ( ( ~ ( midp @ SV181 @ SV47 @ SV114 ) )
        = $true )
      | ( ( ~ ( perp @ SV241 @ SV181 @ SV47 @ SV114 ) )
        = $true )
      | ( ( cong @ SV241 @ SV47 @ SV241 @ SV114 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[755]) ).

thf(812,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
                | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) )
          | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) )
        = $true )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[756]) ).

thf(813,plain,
    ! [SV331: $i,SV323: $i,SV311: $i,SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SV323 @ SV331 )
              | ~ ( para @ SV284 @ SV311 @ SV323 @ SV331 ) )
        | ( para @ SV50 @ SV117 @ SV184 @ SV244 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[757]) ).

thf(814,plain,
    ! [SV185: $i,SV118: $i,SV51: $i,SV245: $i] :
      ( ( ( ~ ( circle @ SV245 @ SV51 @ SV118 @ SV185 ) )
        = $true )
      | ( ( perp @ ( sK13_SY1117 @ SV185 @ SV118 @ SV51 @ SV245 ) @ SV51 @ SV51 @ SV245 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[758]) ).

thf(815,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
                | ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) ) )
        = $true )
      | ( ( ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) )
        = $true )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[759]) ).

thf(816,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
                | ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
              | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[760]) ).

thf(817,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                    | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
              | ~ ( midp @ SV285 @ SV122 @ SV249 ) )
        | ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[761]) ).

thf(818,plain,
    ! [SV250: $i,SV190: $i,SV312: $i,SV286: $i,SV123: $i,SV56: $i] :
      ( ( ( eqangle @ SV56 @ SV123 @ SV286 @ SV312 @ SV190 @ SV250 @ SV286 @ SV312 )
        = $false )
      | ( ( para @ SV56 @ SV123 @ SV190 @ SV250 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(819,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
              | ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) )
        | ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                  | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
            | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[763]) ).

thf(820,plain,
    ! [SV288: $i,SV192: $i,SV125: $i,SV58: $i,SV252: $i] :
      ( ( ( ~ ( circle @ SV252 @ SV58 @ SV125 @ SV192 )
          | ~ ( perp @ SV252 @ SV58 @ SV58 @ SV288 ) )
        = $true )
      | ( ( eqangle @ SV58 @ SV288 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[764]) ).

thf(821,plain,
    ! [SV289: $i,SV193: $i,SV126: $i,SV59: $i,SV253: $i] :
      ( ( ( ~ ( circle @ SV253 @ SV59 @ SV126 @ SV193 )
          | ~ ( eqangle @ SV59 @ SV289 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 ) )
        = $true )
      | ( ( perp @ SV253 @ SV59 @ SV59 @ SV289 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[765]) ).

thf(822,plain,
    ! [SV313: $i,SV290: $i,SV254: $i,SV194: $i,SV127: $i,SV60: $i] :
      ( ( ( ~ ( ~ ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
              | ~ ( cong @ SV60 @ SV127 @ SV254 @ SV290 ) ) )
        = $false )
      | ( ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(823,plain,
    ! [SV255: $i,SV195: $i,SV128: $i,SV61: $i] :
      ( ( ( ~ ( coll @ SV61 @ SV128 @ SV195 ) )
        = $true )
      | ( ( ~ ( coll @ SV61 @ SV128 @ SV255 ) )
        = $true )
      | ( ( coll @ SV195 @ SV255 @ SV61 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[767]) ).

thf(824,plain,
    ! [SV332: $i,SV324: $i,SV314: $i,SV291: $i,SV256: $i,SV197: $i,SV130: $i,SV63: $i] :
      ( ( ~ ( eqangle @ SV63 @ SV130 @ SV197 @ SV256 @ SV291 @ SV314 @ SV324 @ SV332 )
        | ( eqangle @ SV291 @ SV314 @ SV324 @ SV332 @ SV63 @ SV130 @ SV197 @ SV256 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[768]) ).

thf(825,plain,
    ! [SV333: $i,SV325: $i,SV315: $i,SV292: $i,SV257: $i,SV199: $i,SV132: $i,SV65: $i] :
      ( ( ~ ( eqangle @ SV65 @ SV132 @ SV199 @ SV257 @ SV292 @ SV315 @ SV325 @ SV333 )
        | ( eqangle @ SV199 @ SV257 @ SV65 @ SV132 @ SV325 @ SV333 @ SV292 @ SV315 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[769]) ).

thf(826,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                    | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
              | ~ ( midp @ SV293 @ SV67 @ SV134 ) )
        | ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[770]) ).

thf(827,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ~ ! [SY1235: $i] :
              ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                                  | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                            | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
                      | ~ ( ( SV260 != SV294 ) ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                                | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                          | ~ ( coll @ SY1235 @ SV68 @ SV202 ) )
                    | ~ ( cong @ SY1235 @ SV294 @ SV294 @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[771]) ).

thf(828,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ( ~ ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
              | ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
              | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(829,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
                | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
              | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[773]) ).

thf(830,plain,
    ! [SV205: $i,SV71: $i,SV4: $i,SV138: $i] :
      ( ( ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SV205 @ SV4 @ SV205 @ SV71 )
        = $false )
      | ( ( ~ ~ ( coll @ SV138 @ SV205 @ SV4 ) )
        = $true )
      | ( ( cyclic @ SV4 @ SV71 @ SV138 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(831,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ( ~ ( ~ ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
              | ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
              | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(832,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 )
                | ~ ( coll @ SV262 @ SV6 @ SV140 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV262 @ SV73 @ SV207 ) )
        = $true )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[776]) ).

thf(833,plain,
    ! [SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY1240: $i,SY1241: $i,SY1242: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
                  | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SY1240 @ SY1241 @ SY1242 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SY1240 @ SY1241 @ SY1242 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[777]) ).

thf(834,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
              | ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) ) )
        = $false )
      | ( ( circle @ ( sK10_SY1060 @ SV209 @ SV75 @ SV142 @ SV8 ) @ SV8 @ SV75 @ SV142 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[778]) ).

thf(835,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                              | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
                        | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
                  | ~ ( coll @ SV210 @ SV264 @ SV296 ) )
            | ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
                | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[779]) ).

thf(836,plain,
    ! [SV211: $i,SV145: $i,SV78: $i,SV11: $i] :
      ( ( ( eqangle @ SV11 @ SV78 @ SV145 @ SV211 @ SV145 @ SV211 @ SV11 @ SV78 )
        = $false )
      | ( ( ~ ~ ( para @ SV11 @ SV78 @ SV145 @ SV211 ) )
        = $true )
      | ( ( perp @ SV11 @ SV78 @ SV145 @ SV211 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[780]) ).

thf(837,plain,
    ! [SV214: $i,SV148: $i,SV81: $i,SV14: $i] :
      ( ( ( cyclic @ SV14 @ SV81 @ SV148 @ SV214 )
        = $false )
      | ( ( ~ ( para @ SV14 @ SV81 @ SV148 @ SV214 ) )
        = $true )
      | ( ( eqangle @ SV14 @ SV214 @ SV148 @ SV214 @ SV148 @ SV214 @ SV148 @ SV81 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(838,plain,
    ! [SV149: $i,SV82: $i,SV15: $i] :
      ( ( ( coll @ SV15 @ SV82 @ SV149 )
        = $false )
      | ( ( cong @ SV15 @ SV82 @ SV15 @ SV149 )
        = $false )
      | ( ( midp @ SV15 @ SV82 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[783]) ).

thf(839,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
                | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) )
          | ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        = $true )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[784]) ).

thf(840,plain,
    ! [SV327: $i,SV318: $i,SV299: $i,SV267: $i,SV217: $i,SV153: $i,SV86: $i,SV19: $i] :
      ( ( ( ~ ( eqangle @ SV19 @ SV86 @ SV153 @ SV217 @ SV267 @ SV299 @ SV318 @ SV327 ) )
        = $true )
      | ( ( eqangle @ SV19 @ SV86 @ SV267 @ SV299 @ SV153 @ SV217 @ SV318 @ SV327 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[785]) ).

thf(841,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ~ ( ~ ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
                  | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                            | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                      | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
                | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[786]) ).

thf(842,plain,
    ! [SV88: $i,SV21: $i,SV155: $i] :
      ( ( ( ~ ( coll @ SV155 @ SV21 @ SV88 ) )
        = $false )
      | ( ( eqangle @ SV155 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SV155 @ SV88 )
        = $false )
      | ( ( cong @ SV155 @ SV21 @ SV155 @ SV88 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[787]) ).

thf(843,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV219 @ SV22 @ SV89 )
                | ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV268 @ SV22 @ SV156 ) )
        = $true )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[788]) ).

thf(844,plain,
    ! [SV157: $i,SV90: $i,SV23: $i,SV220: $i] :
      ( ( ( circle @ SV220 @ SV23 @ SV90 @ SV157 )
        = $false )
      | ( ( ~ ( coll @ SV220 @ SV23 @ SV157 ) )
        = $true )
      | ( ( perp @ SV23 @ SV90 @ SV90 @ SV157 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[789]) ).

thf(845,plain,
    ! [SV270: $i,SV159: $i,SV92: $i,SV25: $i,SV222: $i] :
      ( ( ( ~ ( circle @ SV222 @ SV25 @ SV92 @ SV159 ) )
        = $true )
      | ( ( ~ ( midp @ SV270 @ SV92 @ SV159 ) )
        = $true )
      | ( ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SV222 @ SV92 @ SV222 @ SV270 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[791]) ).

thf(846,plain,
    ! [SV160: $i,SV93: $i,SV26: $i,SV223: $i] :
      ( ( ( cong @ SV223 @ SV26 @ SV223 @ SV93 )
        = $false )
      | ( ( ~ ( cong @ SV223 @ SV26 @ SV223 @ SV160 ) )
        = $true )
      | ( ( circle @ SV223 @ SV26 @ SV93 @ SV160 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[792]) ).

thf(847,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                      | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
                | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
          | ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[793]) ).

thf(848,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
                | ~ ( coll @ SV272 @ SV96 @ SV163 ) ) )
        = $true )
      | ( ( ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) )
        = $true )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[794]) ).

thf(849,plain,
    ! [SV226: $i,SV164: $i,SV97: $i,SV30: $i] :
      ( ( ( eqangle @ SV30 @ SV97 @ SV164 @ SV226 @ SV164 @ SV226 @ SV30 @ SV97 )
        = $false )
      | ( ( ~ ~ ( perp @ SV30 @ SV97 @ SV164 @ SV226 ) )
        = $true )
      | ( ( para @ SV30 @ SV97 @ SV164 @ SV226 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[795]) ).

thf(850,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                              | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                        | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
                  | ~ ( coll @ SV227 @ SV31 @ SV98 ) )
            | ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[796]) ).

thf(851,plain,
    ! [SV303: $i,SV274: $i,SV228: $i,SV166: $i,SV99: $i,SV32: $i] :
      ( ( ( ~ ( para @ SV32 @ SV99 @ SV166 @ SV228 )
          | ~ ( perp @ SV166 @ SV228 @ SV274 @ SV303 ) )
        = $true )
      | ( ( perp @ SV32 @ SV99 @ SV274 @ SV303 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[797]) ).

thf(852,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
                | ~ ( coll @ SV102 @ SV230 @ SV276 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
              | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[799]) ).

thf(853,plain,
    ! [SV305: $i,SV277: $i,SV231: $i,SV170: $i,SV103: $i,SV36: $i] :
      ( ( ( ~ ( perp @ SV36 @ SV103 @ SV170 @ SV231 )
          | ~ ( perp @ SV170 @ SV231 @ SV277 @ SV305 ) )
        = $true )
      | ( ( para @ SV36 @ SV103 @ SV277 @ SV305 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[800]) ).

thf(854,plain,
    ! [SV232: $i,SV104: $i,SV171: $i,SV37: $i] :
      ( ( ( cong @ SV37 @ SV171 @ SV104 @ SV171 )
        = $false )
      | ( ( ~ ( cong @ SV37 @ SV232 @ SV104 @ SV232 ) )
        = $true )
      | ( ( perp @ SV37 @ SV104 @ SV171 @ SV232 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[801]) ).

thf(855,plain,
    ! [SV306: $i,SV278: $i,SV233: $i,SV172: $i,SV105: $i,SV38: $i] :
      ( ( ( ~ ( cong @ SV38 @ SV105 @ SV172 @ SV233 )
          | ~ ( cong @ SV172 @ SV233 @ SV278 @ SV306 ) )
        = $true )
      | ( ( cong @ SV38 @ SV105 @ SV278 @ SV306 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[802]) ).

thf(856,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ( ~ ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
          | ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
              | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[803]) ).

thf(857,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                          | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                    | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
              | ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        | ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
            | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[804]) ).

thf(858,plain,
    ! [SV328: $i,SV320: $i,SV308: $i,SV280: $i,SV235: $i,SV175: $i,SV108: $i,SV41: $i] :
      ( ( ( ~ ( eqangle @ SV41 @ SV108 @ SV175 @ SV235 @ SV280 @ SV308 @ SV320 @ SV328 ) )
        = $true )
      | ( ( eqangle @ SV108 @ SV41 @ SV175 @ SV235 @ SV280 @ SV308 @ SV320 @ SV328 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[805]) ).

thf(859,plain,
    ! [SV236: $i,SV176: $i,SV109: $i,SV42: $i] :
      ( ( ( perp @ SV42 @ SV109 @ SV109 @ SV176 )
        = $false )
      | ( ( ~ ( midp @ SV236 @ SV42 @ SV176 ) )
        = $true )
      | ( ( cong @ SV42 @ SV236 @ SV109 @ SV236 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[806]) ).

thf(860,plain,
    ! [SV237: $i,SV110: $i,SV43: $i,SV177: $i] :
      ( ( ( eqangle @ SV177 @ SV43 @ SV177 @ SV110 @ SV237 @ SV43 @ SV237 @ SV110 )
        = $false )
      | ( ( ~ ( coll @ SV177 @ SV237 @ SV110 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV110 @ SV177 @ SV237 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[807]) ).

thf(861,plain,
    ! [SV329: $i,SV321: $i,SV309: $i,SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SV321 @ SV329 )
                | ~ ( perp @ SV281 @ SV309 @ SV321 @ SV329 ) ) )
        = $true )
      | ( ( perp @ SV44 @ SV111 @ SV178 @ SV238 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[808]) ).

thf(862,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ( ~ ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
              | ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
              | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[809]) ).

thf(863,plain,
    ! [SV330: $i,SV322: $i,SV310: $i,SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SV322 @ SV330 )
                | ~ ( cong @ SV282 @ SV310 @ SV322 @ SV330 ) ) )
        = $true )
      | ( ( cong @ SV46 @ SV113 @ SV180 @ SV240 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[810]) ).

thf(864,plain,
    ! [SV241: $i,SV114: $i,SV47: $i,SV181: $i] :
      ( ( ( midp @ SV181 @ SV47 @ SV114 )
        = $false )
      | ( ( ~ ( perp @ SV241 @ SV181 @ SV47 @ SV114 ) )
        = $true )
      | ( ( cong @ SV241 @ SV47 @ SV241 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[811]) ).

thf(865,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
                | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) ) )
        = $true )
      | ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) )
        = $true )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[812]) ).

thf(866,plain,
    ! [SV331: $i,SV323: $i,SV311: $i,SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SV323 @ SV331 )
                | ~ ( para @ SV284 @ SV311 @ SV323 @ SV331 ) ) )
        = $true )
      | ( ( para @ SV50 @ SV117 @ SV184 @ SV244 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[813]) ).

thf(867,plain,
    ! [SV185: $i,SV118: $i,SV51: $i,SV245: $i] :
      ( ( ( circle @ SV245 @ SV51 @ SV118 @ SV185 )
        = $false )
      | ( ( perp @ ( sK13_SY1117 @ SV185 @ SV118 @ SV51 @ SV245 ) @ SV51 @ SV51 @ SV245 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[814]) ).

thf(868,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ( ~ ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
              | ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) ) )
        = $false )
      | ( ( ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) )
        = $true )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[815]) ).

thf(869,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ( ~ ( ~ ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
              | ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
              | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[816]) ).

thf(870,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                      | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
                | ~ ( midp @ SV285 @ SV122 @ SV249 ) ) )
        = $true )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[817]) ).

thf(871,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
                | ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                    | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
              | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[819]) ).

thf(872,plain,
    ! [SV288: $i,SV192: $i,SV125: $i,SV58: $i,SV252: $i] :
      ( ( ( ~ ( circle @ SV252 @ SV58 @ SV125 @ SV192 ) )
        = $true )
      | ( ( ~ ( perp @ SV252 @ SV58 @ SV58 @ SV288 ) )
        = $true )
      | ( ( eqangle @ SV58 @ SV288 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[820]) ).

thf(873,plain,
    ! [SV289: $i,SV193: $i,SV126: $i,SV59: $i,SV253: $i] :
      ( ( ( ~ ( circle @ SV253 @ SV59 @ SV126 @ SV193 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV59 @ SV289 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 ) )
        = $true )
      | ( ( perp @ SV253 @ SV59 @ SV59 @ SV289 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[821]) ).

thf(874,plain,
    ! [SV313: $i,SV290: $i,SV254: $i,SV194: $i,SV127: $i,SV60: $i] :
      ( ( ( ~ ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
          | ~ ( cong @ SV60 @ SV127 @ SV254 @ SV290 ) )
        = $true )
      | ( ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[822]) ).

thf(875,plain,
    ! [SV255: $i,SV195: $i,SV128: $i,SV61: $i] :
      ( ( ( coll @ SV61 @ SV128 @ SV195 )
        = $false )
      | ( ( ~ ( coll @ SV61 @ SV128 @ SV255 ) )
        = $true )
      | ( ( coll @ SV195 @ SV255 @ SV61 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[823]) ).

thf(876,plain,
    ! [SV332: $i,SV324: $i,SV314: $i,SV291: $i,SV256: $i,SV197: $i,SV130: $i,SV63: $i] :
      ( ( ( ~ ( eqangle @ SV63 @ SV130 @ SV197 @ SV256 @ SV291 @ SV314 @ SV324 @ SV332 ) )
        = $true )
      | ( ( eqangle @ SV291 @ SV314 @ SV324 @ SV332 @ SV63 @ SV130 @ SV197 @ SV256 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[824]) ).

thf(877,plain,
    ! [SV333: $i,SV325: $i,SV315: $i,SV292: $i,SV257: $i,SV199: $i,SV132: $i,SV65: $i] :
      ( ( ( ~ ( eqangle @ SV65 @ SV132 @ SV199 @ SV257 @ SV292 @ SV315 @ SV325 @ SV333 ) )
        = $true )
      | ( ( eqangle @ SV199 @ SV257 @ SV65 @ SV132 @ SV325 @ SV333 @ SV292 @ SV315 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[825]) ).

thf(878,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                      | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
                | ~ ( midp @ SV293 @ SV67 @ SV134 ) ) )
        = $true )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[826]) ).

thf(879,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ! [SY1235: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                                | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                          | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
                    | ~ ( ( SV260 != SV294 ) ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                              | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                        | ~ ( coll @ SY1235 @ SV68 @ SV202 ) )
                  | ~ ( cong @ SY1235 @ SV294 @ SV294 @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[827]) ).

thf(880,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
          | ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
              | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[828]) ).

thf(881,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
              | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) ) )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
              | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[829]) ).

thf(882,plain,
    ! [SV71: $i,SV4: $i,SV205: $i,SV138: $i] :
      ( ( ( ~ ( coll @ SV138 @ SV205 @ SV4 ) )
        = $false )
      | ( ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SV205 @ SV4 @ SV205 @ SV71 )
        = $false )
      | ( ( cyclic @ SV4 @ SV71 @ SV138 @ SV205 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[830]) ).

thf(883,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ( ~ ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
          | ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
              | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[831]) ).

thf(884,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ( ~ ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 )
              | ~ ( coll @ SV262 @ SV6 @ SV140 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV262 @ SV73 @ SV207 ) )
        = $true )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[832]) ).

thf(885,plain,
    ! [SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY1243: $i,SY1244: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
                  | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SY1243 @ SY1244 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SY1243 @ SY1244 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[833]) ).

thf(886,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
          | ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) )
        = $true )
      | ( ( circle @ ( sK10_SY1060 @ SV209 @ SV75 @ SV142 @ SV8 ) @ SV8 @ SV75 @ SV142 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[834]) ).

thf(887,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                          | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
                    | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
              | ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        | ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
            | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[835]) ).

thf(888,plain,
    ! [SV211: $i,SV145: $i,SV78: $i,SV11: $i] :
      ( ( ( ~ ( para @ SV11 @ SV78 @ SV145 @ SV211 ) )
        = $false )
      | ( ( eqangle @ SV11 @ SV78 @ SV145 @ SV211 @ SV145 @ SV211 @ SV11 @ SV78 )
        = $false )
      | ( ( perp @ SV11 @ SV78 @ SV145 @ SV211 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(889,plain,
    ! [SV214: $i,SV148: $i,SV81: $i,SV14: $i] :
      ( ( ( para @ SV14 @ SV81 @ SV148 @ SV214 )
        = $false )
      | ( ( cyclic @ SV14 @ SV81 @ SV148 @ SV214 )
        = $false )
      | ( ( eqangle @ SV14 @ SV214 @ SV148 @ SV214 @ SV148 @ SV214 @ SV148 @ SV81 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(890,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
                | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        = $true )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[839]) ).

thf(891,plain,
    ! [SV327: $i,SV318: $i,SV299: $i,SV267: $i,SV217: $i,SV153: $i,SV86: $i,SV19: $i] :
      ( ( ( eqangle @ SV19 @ SV86 @ SV153 @ SV217 @ SV267 @ SV299 @ SV318 @ SV327 )
        = $false )
      | ( ( eqangle @ SV19 @ SV86 @ SV267 @ SV299 @ SV153 @ SV217 @ SV318 @ SV327 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[840]) ).

thf(892,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ~ ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
              | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                        | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                  | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
            | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[841]) ).

thf(893,plain,
    ! [SV88: $i,SV21: $i,SV155: $i] :
      ( ( ( coll @ SV155 @ SV21 @ SV88 )
        = $true )
      | ( ( eqangle @ SV155 @ SV21 @ SV21 @ SV88 @ SV21 @ SV88 @ SV155 @ SV88 )
        = $false )
      | ( ( cong @ SV155 @ SV21 @ SV155 @ SV88 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[842]) ).

thf(894,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ( ~ ( ~ ( midp @ SV219 @ SV22 @ SV89 )
              | ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV268 @ SV22 @ SV156 ) )
        = $true )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[843]) ).

thf(895,plain,
    ! [SV90: $i,SV157: $i,SV23: $i,SV220: $i] :
      ( ( ( coll @ SV220 @ SV23 @ SV157 )
        = $false )
      | ( ( circle @ SV220 @ SV23 @ SV90 @ SV157 )
        = $false )
      | ( ( perp @ SV23 @ SV90 @ SV90 @ SV157 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[844]) ).

thf(896,plain,
    ! [SV270: $i,SV159: $i,SV92: $i,SV25: $i,SV222: $i] :
      ( ( ( circle @ SV222 @ SV25 @ SV92 @ SV159 )
        = $false )
      | ( ( ~ ( midp @ SV270 @ SV92 @ SV159 ) )
        = $true )
      | ( ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SV222 @ SV92 @ SV222 @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[845]) ).

thf(897,plain,
    ! [SV93: $i,SV160: $i,SV26: $i,SV223: $i] :
      ( ( ( cong @ SV223 @ SV26 @ SV223 @ SV160 )
        = $false )
      | ( ( cong @ SV223 @ SV26 @ SV223 @ SV93 )
        = $false )
      | ( ( circle @ SV223 @ SV26 @ SV93 @ SV160 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[846]) ).

thf(898,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                      | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
                | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) ) )
        = $true )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[847]) ).

thf(899,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ( ~ ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
              | ~ ( coll @ SV272 @ SV96 @ SV163 ) ) )
        = $false )
      | ( ( ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) )
        = $true )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[848]) ).

thf(900,plain,
    ! [SV226: $i,SV164: $i,SV97: $i,SV30: $i] :
      ( ( ( ~ ( perp @ SV30 @ SV97 @ SV164 @ SV226 ) )
        = $false )
      | ( ( eqangle @ SV30 @ SV97 @ SV164 @ SV226 @ SV164 @ SV226 @ SV30 @ SV97 )
        = $false )
      | ( ( para @ SV30 @ SV97 @ SV164 @ SV226 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[849]) ).

thf(901,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                          | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                    | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
              | ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        | ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[850]) ).

thf(902,plain,
    ! [SV303: $i,SV274: $i,SV228: $i,SV166: $i,SV99: $i,SV32: $i] :
      ( ( ( ~ ( para @ SV32 @ SV99 @ SV166 @ SV228 ) )
        = $true )
      | ( ( ~ ( perp @ SV166 @ SV228 @ SV274 @ SV303 ) )
        = $true )
      | ( ( perp @ SV32 @ SV99 @ SV274 @ SV303 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[851]) ).

thf(903,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ( ~ ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
              | ~ ( coll @ SV102 @ SV230 @ SV276 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
              | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[852]) ).

thf(904,plain,
    ! [SV305: $i,SV277: $i,SV231: $i,SV170: $i,SV103: $i,SV36: $i] :
      ( ( ( ~ ( perp @ SV36 @ SV103 @ SV170 @ SV231 ) )
        = $true )
      | ( ( ~ ( perp @ SV170 @ SV231 @ SV277 @ SV305 ) )
        = $true )
      | ( ( para @ SV36 @ SV103 @ SV277 @ SV305 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[853]) ).

thf(905,plain,
    ! [SV171: $i,SV104: $i,SV232: $i,SV37: $i] :
      ( ( ( cong @ SV37 @ SV232 @ SV104 @ SV232 )
        = $false )
      | ( ( cong @ SV37 @ SV171 @ SV104 @ SV171 )
        = $false )
      | ( ( perp @ SV37 @ SV104 @ SV171 @ SV232 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[854]) ).

thf(906,plain,
    ! [SV306: $i,SV278: $i,SV233: $i,SV172: $i,SV105: $i,SV38: $i] :
      ( ( ( ~ ( cong @ SV38 @ SV105 @ SV172 @ SV233 ) )
        = $true )
      | ( ( ~ ( cong @ SV172 @ SV233 @ SV278 @ SV306 ) )
        = $true )
      | ( ( cong @ SV38 @ SV105 @ SV278 @ SV306 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[855]) ).

thf(907,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ( ~ ( cong @ SV173 @ SV39 @ SV173 @ SV106 ) )
        = $true )
      | ( ( ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
              | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[856]) ).

thf(908,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                            | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                      | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
                | ~ ( coll @ SV307 @ SV40 @ SV107 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[857]) ).

thf(909,plain,
    ! [SV328: $i,SV320: $i,SV308: $i,SV280: $i,SV235: $i,SV175: $i,SV108: $i,SV41: $i] :
      ( ( ( eqangle @ SV41 @ SV108 @ SV175 @ SV235 @ SV280 @ SV308 @ SV320 @ SV328 )
        = $false )
      | ( ( eqangle @ SV108 @ SV41 @ SV175 @ SV235 @ SV280 @ SV308 @ SV320 @ SV328 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(910,plain,
    ! [SV109: $i,SV176: $i,SV42: $i,SV236: $i] :
      ( ( ( midp @ SV236 @ SV42 @ SV176 )
        = $false )
      | ( ( perp @ SV42 @ SV109 @ SV109 @ SV176 )
        = $false )
      | ( ( cong @ SV42 @ SV236 @ SV109 @ SV236 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[859]) ).

thf(911,plain,
    ! [SV43: $i,SV110: $i,SV237: $i,SV177: $i] :
      ( ( ( coll @ SV177 @ SV237 @ SV110 )
        = $false )
      | ( ( eqangle @ SV177 @ SV43 @ SV177 @ SV110 @ SV237 @ SV43 @ SV237 @ SV110 )
        = $false )
      | ( ( cyclic @ SV43 @ SV110 @ SV177 @ SV237 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[860]) ).

thf(912,plain,
    ! [SV329: $i,SV321: $i,SV309: $i,SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SV321 @ SV329 )
              | ~ ( perp @ SV281 @ SV309 @ SV321 @ SV329 ) ) )
        = $false )
      | ( ( perp @ SV44 @ SV111 @ SV178 @ SV238 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[861]) ).

thf(913,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
          | ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
              | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[862]) ).

thf(914,plain,
    ! [SV330: $i,SV322: $i,SV310: $i,SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ( ~ ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SV322 @ SV330 )
              | ~ ( cong @ SV282 @ SV310 @ SV322 @ SV330 ) ) )
        = $false )
      | ( ( cong @ SV46 @ SV113 @ SV180 @ SV240 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[863]) ).

thf(915,plain,
    ! [SV114: $i,SV47: $i,SV181: $i,SV241: $i] :
      ( ( ( perp @ SV241 @ SV181 @ SV47 @ SV114 )
        = $false )
      | ( ( midp @ SV181 @ SV47 @ SV114 )
        = $false )
      | ( ( cong @ SV241 @ SV47 @ SV241 @ SV114 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[864]) ).

thf(916,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ( ~ ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
              | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) ) )
        = $false )
      | ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) )
        = $true )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[865]) ).

thf(917,plain,
    ! [SV331: $i,SV323: $i,SV311: $i,SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SV323 @ SV331 )
              | ~ ( para @ SV284 @ SV311 @ SV323 @ SV331 ) ) )
        = $false )
      | ( ( para @ SV50 @ SV117 @ SV184 @ SV244 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[866]) ).

thf(918,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
          | ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) )
        = $true )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[868]) ).

thf(919,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ( ~ ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
          | ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
              | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[869]) ).

thf(920,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                    | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
              | ~ ( midp @ SV285 @ SV122 @ SV249 ) ) )
        = $false )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(921,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
              | ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                    | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
              | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(922,plain,
    ! [SV288: $i,SV192: $i,SV125: $i,SV58: $i,SV252: $i] :
      ( ( ( circle @ SV252 @ SV58 @ SV125 @ SV192 )
        = $false )
      | ( ( ~ ( perp @ SV252 @ SV58 @ SV58 @ SV288 ) )
        = $true )
      | ( ( eqangle @ SV58 @ SV288 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(923,plain,
    ! [SV289: $i,SV193: $i,SV126: $i,SV59: $i,SV253: $i] :
      ( ( ( circle @ SV253 @ SV59 @ SV126 @ SV193 )
        = $false )
      | ( ( ~ ( eqangle @ SV59 @ SV289 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 ) )
        = $true )
      | ( ( perp @ SV253 @ SV59 @ SV59 @ SV289 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(924,plain,
    ! [SV313: $i,SV290: $i,SV254: $i,SV194: $i,SV127: $i,SV60: $i] :
      ( ( ( ~ ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 ) )
        = $true )
      | ( ( ~ ( cong @ SV60 @ SV127 @ SV254 @ SV290 ) )
        = $true )
      | ( ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[874]) ).

thf(925,plain,
    ! [SV195: $i,SV255: $i,SV128: $i,SV61: $i] :
      ( ( ( coll @ SV61 @ SV128 @ SV255 )
        = $false )
      | ( ( coll @ SV61 @ SV128 @ SV195 )
        = $false )
      | ( ( coll @ SV195 @ SV255 @ SV61 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[875]) ).

thf(926,plain,
    ! [SV332: $i,SV324: $i,SV314: $i,SV291: $i,SV256: $i,SV197: $i,SV130: $i,SV63: $i] :
      ( ( ( eqangle @ SV63 @ SV130 @ SV197 @ SV256 @ SV291 @ SV314 @ SV324 @ SV332 )
        = $false )
      | ( ( eqangle @ SV291 @ SV314 @ SV324 @ SV332 @ SV63 @ SV130 @ SV197 @ SV256 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(927,plain,
    ! [SV333: $i,SV325: $i,SV315: $i,SV292: $i,SV257: $i,SV199: $i,SV132: $i,SV65: $i] :
      ( ( ( eqangle @ SV65 @ SV132 @ SV199 @ SV257 @ SV292 @ SV315 @ SV325 @ SV333 )
        = $false )
      | ( ( eqangle @ SV199 @ SV257 @ SV65 @ SV132 @ SV325 @ SV333 @ SV292 @ SV315 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[877]) ).

thf(928,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                    | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
              | ~ ( midp @ SV293 @ SV67 @ SV134 ) ) )
        = $false )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(929,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                              | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                        | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
                  | ~ ( ( SV260 != SV294 ) ) )
            | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                            | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                      | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
                | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[879]) ).

thf(930,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ( ~ ( cong @ SV136 @ SV2 @ SV136 @ SV69 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
              | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[880]) ).

thf(931,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
          | ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
              | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[881]) ).

thf(932,plain,
    ! [SV71: $i,SV4: $i,SV205: $i,SV138: $i] :
      ( ( ( coll @ SV138 @ SV205 @ SV4 )
        = $true )
      | ( ( eqangle @ SV138 @ SV4 @ SV138 @ SV71 @ SV205 @ SV4 @ SV205 @ SV71 )
        = $false )
      | ( ( cyclic @ SV4 @ SV71 @ SV138 @ SV205 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[882]) ).

thf(933,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ( ~ ( perp @ SV139 @ SV206 @ SV5 @ SV72 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
              | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[883]) ).

thf(934,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 )
          | ~ ( coll @ SV262 @ SV6 @ SV140 ) )
        = $true )
      | ( ( ~ ( coll @ SV262 @ SV73 @ SV207 ) )
        = $true )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[884]) ).

thf(935,plain,
    ! [SV336: $i,SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ! [SY1245: $i] :
            ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
                  | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SV336 @ SY1245 ) )
            | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SV336 @ SY1245 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[885]) ).

thf(936,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ( ~ ( perp @ SV8 @ SV142 @ SV142 @ SV75 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) )
        = $true )
      | ( ( circle @ ( sK10_SY1060 @ SV209 @ SV75 @ SV142 @ SV8 ) @ SV8 @ SV75 @ SV142 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[886]) ).

thf(937,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                            | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
                      | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
                | ~ ( coll @ SV210 @ SV264 @ SV296 ) ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[887]) ).

thf(938,plain,
    ! [SV211: $i,SV145: $i,SV78: $i,SV11: $i] :
      ( ( ( para @ SV11 @ SV78 @ SV145 @ SV211 )
        = $true )
      | ( ( eqangle @ SV11 @ SV78 @ SV145 @ SV211 @ SV145 @ SV211 @ SV11 @ SV78 )
        = $false )
      | ( ( perp @ SV11 @ SV78 @ SV145 @ SV211 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[888]) ).

thf(939,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
              | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) ) )
        = $false )
      | ( ( ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        = $true )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(940,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
                | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                          | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                    | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
              | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[892]) ).

thf(941,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ( ~ ( midp @ SV219 @ SV22 @ SV89 )
          | ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) )
        = $true )
      | ( ( ~ ( coll @ SV268 @ SV22 @ SV156 ) )
        = $true )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[894]) ).

thf(942,plain,
    ! [SV25: $i,SV222: $i,SV159: $i,SV92: $i,SV270: $i] :
      ( ( ( midp @ SV270 @ SV92 @ SV159 )
        = $false )
      | ( ( circle @ SV222 @ SV25 @ SV92 @ SV159 )
        = $false )
      | ( ( eqangle @ SV25 @ SV92 @ SV25 @ SV159 @ SV222 @ SV92 @ SV222 @ SV270 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[896]) ).

thf(943,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                    | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
              | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) ) )
        = $false )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(944,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
          | ~ ( coll @ SV272 @ SV96 @ SV163 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) )
        = $true )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[899]) ).

thf(945,plain,
    ! [SV226: $i,SV164: $i,SV97: $i,SV30: $i] :
      ( ( ( perp @ SV30 @ SV97 @ SV164 @ SV226 )
        = $true )
      | ( ( eqangle @ SV30 @ SV97 @ SV164 @ SV226 @ SV164 @ SV226 @ SV30 @ SV97 )
        = $false )
      | ( ( para @ SV30 @ SV97 @ SV164 @ SV226 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[900]) ).

thf(946,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                            | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                      | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
                | ~ ( coll @ SV227 @ SV31 @ SV98 ) ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[901]) ).

thf(947,plain,
    ! [SV303: $i,SV274: $i,SV228: $i,SV166: $i,SV99: $i,SV32: $i] :
      ( ( ( para @ SV32 @ SV99 @ SV166 @ SV228 )
        = $false )
      | ( ( ~ ( perp @ SV166 @ SV228 @ SV274 @ SV303 ) )
        = $true )
      | ( ( perp @ SV32 @ SV99 @ SV274 @ SV303 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(948,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
          | ~ ( coll @ SV102 @ SV230 @ SV276 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
              | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[903]) ).

thf(949,plain,
    ! [SV305: $i,SV277: $i,SV231: $i,SV170: $i,SV103: $i,SV36: $i] :
      ( ( ( perp @ SV36 @ SV103 @ SV170 @ SV231 )
        = $false )
      | ( ( ~ ( perp @ SV170 @ SV231 @ SV277 @ SV305 ) )
        = $true )
      | ( ( para @ SV36 @ SV103 @ SV277 @ SV305 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[904]) ).

thf(950,plain,
    ! [SV306: $i,SV278: $i,SV233: $i,SV172: $i,SV105: $i,SV38: $i] :
      ( ( ( cong @ SV38 @ SV105 @ SV172 @ SV233 )
        = $false )
      | ( ( ~ ( cong @ SV172 @ SV233 @ SV278 @ SV306 ) )
        = $true )
      | ( ( cong @ SV38 @ SV105 @ SV278 @ SV306 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[906]) ).

thf(951,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
        = $false )
      | ( ( ~ ( perp @ SV39 @ SV173 @ SV173 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
              | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[907]) ).

thf(952,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                          | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                    | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
              | ~ ( coll @ SV307 @ SV40 @ SV107 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(953,plain,
    ! [SV329: $i,SV321: $i,SV309: $i,SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SV321 @ SV329 )
          | ~ ( perp @ SV281 @ SV309 @ SV321 @ SV329 ) )
        = $true )
      | ( ( perp @ SV44 @ SV111 @ SV178 @ SV238 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[912]) ).

thf(954,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ( ~ ( perp @ SV179 @ SV112 @ SV112 @ SV45 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
              | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[913]) ).

thf(955,plain,
    ! [SV330: $i,SV322: $i,SV310: $i,SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SV322 @ SV330 )
          | ~ ( cong @ SV282 @ SV310 @ SV322 @ SV330 ) )
        = $true )
      | ( ( cong @ SV46 @ SV113 @ SV180 @ SV240 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[914]) ).

thf(956,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
          | ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) )
        = $true )
      | ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) )
        = $true )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[916]) ).

thf(957,plain,
    ! [SV331: $i,SV323: $i,SV311: $i,SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SV323 @ SV331 )
          | ~ ( para @ SV284 @ SV311 @ SV323 @ SV331 ) )
        = $true )
      | ( ( para @ SV50 @ SV117 @ SV184 @ SV244 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[917]) ).

thf(958,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ( ~ ( cong @ SV53 @ SV187 @ SV120 @ SV187 ) )
        = $true )
      | ( ( ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) )
        = $true )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[918]) ).

thf(959,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ( ~ ( perp @ SV188 @ SV248 @ SV54 @ SV121 ) )
        = $true )
      | ( ( ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
              | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[919]) ).

thf(960,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
          | ~ ( midp @ SV285 @ SV122 @ SV249 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[920]) ).

thf(961,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
          | ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                    | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
              | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[921]) ).

thf(962,plain,
    ! [SV192: $i,SV125: $i,SV288: $i,SV58: $i,SV252: $i] :
      ( ( ( perp @ SV252 @ SV58 @ SV58 @ SV288 )
        = $false )
      | ( ( circle @ SV252 @ SV58 @ SV125 @ SV192 )
        = $false )
      | ( ( eqangle @ SV58 @ SV288 @ SV58 @ SV125 @ SV192 @ SV58 @ SV192 @ SV125 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[922]) ).

thf(963,plain,
    ! [SV253: $i,SV193: $i,SV126: $i,SV289: $i,SV59: $i] :
      ( ( ( eqangle @ SV59 @ SV289 @ SV59 @ SV126 @ SV193 @ SV59 @ SV193 @ SV126 )
        = $false )
      | ( ( circle @ SV253 @ SV59 @ SV126 @ SV193 )
        = $false )
      | ( ( perp @ SV253 @ SV59 @ SV59 @ SV289 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[923]) ).

thf(964,plain,
    ! [SV313: $i,SV290: $i,SV254: $i,SV194: $i,SV127: $i,SV60: $i] :
      ( ( ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
        = $false )
      | ( ( ~ ( cong @ SV60 @ SV127 @ SV254 @ SV290 ) )
        = $true )
      | ( ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(965,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
          | ~ ( midp @ SV293 @ SV67 @ SV134 ) )
        = $true )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[928]) ).

thf(966,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                          | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                    | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
              | ~ ( ( SV260 != SV294 ) ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                        | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                  | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
            | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[929]) ).

thf(967,plain,
    ! [SV203: $i,SV69: $i,SV2: $i,SV136: $i] :
      ( ( ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
        = $false )
      | ( ( ~ ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
              | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[930]) ).

thf(968,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
              | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[931]) ).

thf(969,plain,
    ! [SV72: $i,SV5: $i,SV206: $i,SV139: $i] :
      ( ( ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
        = $false )
      | ( ( ~ ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
              | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(970,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ( ~ ( para @ SV6 @ SV73 @ SV140 @ SV207 ) )
        = $true )
      | ( ( ~ ( coll @ SV262 @ SV6 @ SV140 ) )
        = $true )
      | ( ( ~ ( coll @ SV262 @ SV73 @ SV207 ) )
        = $true )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[934]) ).

thf(971,plain,
    ! [SV337: $i,SV336: $i,SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
              | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SV336 @ SV337 ) )
        | ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SV336 @ SV337 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[935]) ).

thf(972,plain,
    ! [SV209: $i,SV75: $i,SV142: $i,SV8: $i] :
      ( ( ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
        = $false )
      | ( ( ~ ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 ) )
        = $true )
      | ( ( circle @ ( sK10_SY1060 @ SV209 @ SV75 @ SV142 @ SV8 ) @ SV8 @ SV75 @ SV142 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(973,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                          | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
                    | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
              | ~ ( coll @ SV210 @ SV264 @ SV296 ) ) )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(974,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
          | ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        = $true )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[939]) ).

thf(975,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ( ~ ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
              | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                          | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                    | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
              | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[940]) ).

thf(976,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ( ~ ( midp @ SV219 @ SV22 @ SV89 ) )
        = $true )
      | ( ( ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) )
        = $true )
      | ( ( ~ ( coll @ SV268 @ SV22 @ SV156 ) )
        = $true )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[941]) ).

thf(977,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
          | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[943]) ).

thf(978,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ( ~ ( circle @ SV225 @ SV29 @ SV96 @ SV163 ) )
        = $true )
      | ( ( ~ ( coll @ SV272 @ SV96 @ SV163 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) )
        = $true )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[944]) ).

thf(979,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                          | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                    | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
              | ~ ( coll @ SV227 @ SV31 @ SV98 ) ) )
        = $false )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[946]) ).

thf(980,plain,
    ! [SV99: $i,SV32: $i,SV303: $i,SV274: $i,SV228: $i,SV166: $i] :
      ( ( ( perp @ SV166 @ SV228 @ SV274 @ SV303 )
        = $false )
      | ( ( para @ SV32 @ SV99 @ SV166 @ SV228 )
        = $false )
      | ( ( perp @ SV32 @ SV99 @ SV274 @ SV303 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[947]) ).

thf(981,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ( ~ ( perp @ SV35 @ SV169 @ SV169 @ SV102 ) )
        = $true )
      | ( ( ~ ( coll @ SV102 @ SV230 @ SV276 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
              | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[948]) ).

thf(982,plain,
    ! [SV103: $i,SV36: $i,SV305: $i,SV277: $i,SV231: $i,SV170: $i] :
      ( ( ( perp @ SV170 @ SV231 @ SV277 @ SV305 )
        = $false )
      | ( ( perp @ SV36 @ SV103 @ SV170 @ SV231 )
        = $false )
      | ( ( para @ SV36 @ SV103 @ SV277 @ SV305 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[949]) ).

thf(983,plain,
    ! [SV105: $i,SV38: $i,SV306: $i,SV278: $i,SV233: $i,SV172: $i] :
      ( ( ( cong @ SV172 @ SV233 @ SV278 @ SV306 )
        = $false )
      | ( ( cong @ SV38 @ SV105 @ SV172 @ SV233 )
        = $false )
      | ( ( cong @ SV38 @ SV105 @ SV278 @ SV306 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[950]) ).

thf(984,plain,
    ! [SV106: $i,SV173: $i,SV39: $i] :
      ( ( ( perp @ SV39 @ SV173 @ SV173 @ SV106 )
        = $false )
      | ( ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
              | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[951]) ).

thf(985,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                      | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
          | ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[952]) ).

thf(986,plain,
    ! [SV329: $i,SV321: $i,SV309: $i,SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ( ~ ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SV321 @ SV329 ) )
        = $true )
      | ( ( ~ ( perp @ SV281 @ SV309 @ SV321 @ SV329 ) )
        = $true )
      | ( ( perp @ SV44 @ SV111 @ SV178 @ SV238 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[953]) ).

thf(987,plain,
    ! [SV239: $i,SV45: $i,SV112: $i,SV179: $i] :
      ( ( ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
        = $false )
      | ( ( ~ ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
              | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[954]) ).

thf(988,plain,
    ! [SV330: $i,SV322: $i,SV310: $i,SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ( ~ ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SV322 @ SV330 ) )
        = $true )
      | ( ( ~ ( cong @ SV282 @ SV310 @ SV322 @ SV330 ) )
        = $true )
      | ( ( cong @ SV46 @ SV113 @ SV180 @ SV240 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[955]) ).

thf(989,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV116 ) )
        = $true )
      | ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) )
        = $true )
      | ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) )
        = $true )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[956]) ).

thf(990,plain,
    ! [SV331: $i,SV323: $i,SV311: $i,SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ( ~ ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SV323 @ SV331 ) )
        = $true )
      | ( ( ~ ( para @ SV284 @ SV311 @ SV323 @ SV331 ) )
        = $true )
      | ( ( para @ SV50 @ SV117 @ SV184 @ SV244 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[957]) ).

thf(991,plain,
    ! [SV247: $i,SV120: $i,SV187: $i,SV53: $i] :
      ( ( ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
        = $false )
      | ( ( ~ ( cong @ SV53 @ SV247 @ SV120 @ SV247 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) )
        = $true )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[958]) ).

thf(992,plain,
    ! [SV121: $i,SV54: $i,SV248: $i,SV188: $i] :
      ( ( ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
        = $false )
      | ( ( ~ ( cong @ SV188 @ SV54 @ SV188 @ SV121 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
              | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[959]) ).

thf(993,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ( ~ ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
                | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) ) )
        = $true )
      | ( ( ~ ( midp @ SV285 @ SV122 @ SV249 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[960]) ).

thf(994,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ( cong @ SV287 @ SV191 @ SV287 @ SV251 ) )
        = $true )
      | ( ( ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                    | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
              | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[961]) ).

thf(995,plain,
    ! [SV313: $i,SV194: $i,SV290: $i,SV254: $i,SV127: $i,SV60: $i] :
      ( ( ( cong @ SV60 @ SV127 @ SV254 @ SV290 )
        = $false )
      | ( ( simtri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
        = $false )
      | ( ( contri @ SV60 @ SV127 @ SV194 @ SV254 @ SV290 @ SV313 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[964]) ).

thf(996,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( ~ ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
                | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) ) )
        = $true )
      | ( ( ~ ( midp @ SV293 @ SV67 @ SV134 ) )
        = $true )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[965]) ).

thf(997,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                            | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                      | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
                | ~ ( ( SV260 != SV294 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[966]) ).

thf(998,plain,
    ! [SV69: $i,SV203: $i,SV136: $i,SV2: $i] :
      ( ( ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 )
        = $false )
      | ( ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
              | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[967]) ).

thf(999,plain,
    ! [SV261: $i,SV204: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
        = $false )
      | ( ( ~ ~ ( coll @ SV3 @ SV70 @ SV137 ) )
        = $true )
      | ( ( ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
              | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[968]) ).

thf(1000,plain,
    ! [SV72: $i,SV206: $i,SV139: $i,SV5: $i] :
      ( ( ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 )
        = $false )
      | ( ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
              | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[969]) ).

thf(1001,plain,
    ! [SV262: $i,SV207: $i,SV140: $i,SV73: $i,SV6: $i] :
      ( ( ( para @ SV6 @ SV73 @ SV140 @ SV207 )
        = $false )
      | ( ( ~ ( coll @ SV262 @ SV6 @ SV140 ) )
        = $true )
      | ( ( ~ ( coll @ SV262 @ SV73 @ SV207 ) )
        = $true )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[970]) ).

thf(1002,plain,
    ! [SV337: $i,SV336: $i,SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
                | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SV336 @ SV337 ) ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SV336 @ SV337 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[971]) ).

thf(1003,plain,
    ! [SV209: $i,SV142: $i,SV75: $i,SV8: $i] :
      ( ( ( cyclic @ SV8 @ SV75 @ SV142 @ SV209 )
        = $false )
      | ( ( perp @ SV8 @ SV142 @ SV142 @ SV75 )
        = $false )
      | ( ( circle @ ( sK10_SY1060 @ SV209 @ SV75 @ SV142 @ SV8 ) @ SV8 @ SV75 @ SV142 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[972]) ).

thf(1004,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                      | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
                | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
          | ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[973]) ).

thf(1005,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( ~ ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        = $true )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[974]) ).

thf(1006,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
          | ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                          | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                    | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
              | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[975]) ).

thf(1007,plain,
    ! [SV156: $i,SV268: $i,SV89: $i,SV22: $i,SV219: $i] :
      ( ( ( midp @ SV219 @ SV22 @ SV89 )
        = $false )
      | ( ( ~ ( para @ SV219 @ SV268 @ SV89 @ SV156 ) )
        = $true )
      | ( ( ~ ( coll @ SV268 @ SV22 @ SV156 ) )
        = $true )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[976]) ).

thf(1008,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
                | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) ) )
        = $true )
      | ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[977]) ).

thf(1009,plain,
    ! [SV272: $i,SV163: $i,SV96: $i,SV29: $i,SV225: $i] :
      ( ( ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
        = $false )
      | ( ( ~ ( coll @ SV272 @ SV96 @ SV163 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) )
        = $true )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[978]) ).

thf(1010,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                      | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
          | ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[979]) ).

thf(1011,plain,
    ! [SV276: $i,SV230: $i,SV102: $i,SV169: $i,SV35: $i] :
      ( ( ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
        = $false )
      | ( ( ~ ( coll @ SV102 @ SV230 @ SV276 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
              | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[981]) ).

thf(1012,plain,
    ! [SV106: $i,SV173: $i,SV39: $i] :
      ( ( ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
          | ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) )
        = $false )
      | ( ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
        = $false )
      | ( ( perp @ SV39 @ SV173 @ SV173 @ SV106 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[984]) ).

thf(1013,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                      | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
                | ~ ( coll @ SV279 @ SV107 @ SV234 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[985]) ).

thf(1014,plain,
    ! [SV329: $i,SV321: $i,SV309: $i,SV281: $i,SV238: $i,SV178: $i,SV111: $i,SV44: $i] :
      ( ( ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SV321 @ SV329 )
        = $false )
      | ( ( ~ ( perp @ SV281 @ SV309 @ SV321 @ SV329 ) )
        = $true )
      | ( ( perp @ SV44 @ SV111 @ SV178 @ SV238 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[986]) ).

thf(1015,plain,
    ! [SV45: $i,SV112: $i,SV179: $i,SV239: $i] :
      ( ( ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 )
        = $false )
      | ( ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
              | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[987]) ).

thf(1016,plain,
    ! [SV330: $i,SV322: $i,SV310: $i,SV282: $i,SV240: $i,SV180: $i,SV113: $i,SV46: $i] :
      ( ( ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SV322 @ SV330 )
        = $false )
      | ( ( ~ ( cong @ SV282 @ SV310 @ SV322 @ SV330 ) )
        = $true )
      | ( ( cong @ SV46 @ SV113 @ SV180 @ SV240 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[988]) ).

thf(1017,plain,
    ! [SV243: $i,SV183: $i,SV116: $i,SV49: $i,SV283: $i] :
      ( ( ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
        = $false )
      | ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV183 ) )
        = $true )
      | ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) )
        = $true )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[989]) ).

thf(1018,plain,
    ! [SV331: $i,SV323: $i,SV311: $i,SV284: $i,SV244: $i,SV184: $i,SV117: $i,SV50: $i] :
      ( ( ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SV323 @ SV331 )
        = $false )
      | ( ( ~ ( para @ SV284 @ SV311 @ SV323 @ SV331 ) )
        = $true )
      | ( ( para @ SV50 @ SV117 @ SV184 @ SV244 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[990]) ).

thf(1019,plain,
    ! [SV187: $i,SV120: $i,SV247: $i,SV53: $i] :
      ( ( ( cong @ SV53 @ SV247 @ SV120 @ SV247 )
        = $false )
      | ( ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
        = $false )
      | ( ( ~ ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 ) )
        = $true )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[991]) ).

thf(1020,plain,
    ! [SV248: $i,SV121: $i,SV54: $i,SV188: $i] :
      ( ( ( cong @ SV188 @ SV54 @ SV188 @ SV121 )
        = $false )
      | ( ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
              | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[992]) ).

thf(1021,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ( ~ ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
              | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) ) )
        = $false )
      | ( ( ~ ( midp @ SV285 @ SV122 @ SV249 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[993]) ).

thf(1022,plain,
    ! [SV124: $i,SV57: $i,SV251: $i,SV191: $i,SV287: $i] :
      ( ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( ~ ( perp @ SV57 @ SV124 @ SV124 @ SV287 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                    | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
              | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[994]) ).

thf(1023,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( ~ ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
              | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) ) )
        = $false )
      | ( ( ~ ( midp @ SV293 @ SV67 @ SV134 ) )
        = $true )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[996]) ).

thf(1024,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                          | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                    | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
              | ~ ( ( SV260 != SV294 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[997]) ).

thf(1025,plain,
    ! [SV136: $i,SV203: $i,SV2: $i,SV69: $i] :
      ( ( ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
          | ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) )
        = $false )
      | ( ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
        = $false )
      | ( ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1026,plain,
    ! [SV261: $i,SV204: $i,SV137: $i,SV70: $i,SV3: $i] :
      ( ( ( ~ ( coll @ SV3 @ SV70 @ SV137 ) )
        = $false )
      | ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
              | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[999]) ).

thf(1027,plain,
    ! [SV139: $i,SV206: $i,SV5: $i,SV72: $i] :
      ( ( ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
          | ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) )
        = $false )
      | ( ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
        = $false )
      | ( ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1000]) ).

thf(1028,plain,
    ! [SV207: $i,SV73: $i,SV140: $i,SV6: $i,SV262: $i] :
      ( ( ( coll @ SV262 @ SV6 @ SV140 )
        = $false )
      | ( ( para @ SV6 @ SV73 @ SV140 @ SV207 )
        = $false )
      | ( ( ~ ( coll @ SV262 @ SV73 @ SV207 ) )
        = $true )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1001]) ).

thf(1029,plain,
    ! [SV337: $i,SV336: $i,SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
              | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SV336 @ SV337 ) ) )
        = $false )
      | ( ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SV336 @ SV337 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1030,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                      | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
                | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1004]) ).

thf(1031,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
        = $false )
      | ( ( ~ ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 ) )
        = $true )
      | ( ( ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        = $true )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1005]) ).

thf(1032,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ( ~ ( perp @ SV20 @ SV218 @ SV87 @ SV154 ) )
        = $true )
      | ( ( ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                          | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                    | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
              | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1006]) ).

thf(1033,plain,
    ! [SV22: $i,SV156: $i,SV89: $i,SV268: $i,SV219: $i] :
      ( ( ( para @ SV219 @ SV268 @ SV89 @ SV156 )
        = $false )
      | ( ( midp @ SV219 @ SV22 @ SV89 )
        = $false )
      | ( ( ~ ( coll @ SV268 @ SV22 @ SV156 ) )
        = $true )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1007]) ).

thf(1034,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
              | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) ) )
        = $false )
      | ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1008]) ).

thf(1035,plain,
    ! [SV29: $i,SV225: $i,SV163: $i,SV96: $i,SV272: $i] :
      ( ( ( coll @ SV272 @ SV96 @ SV163 )
        = $false )
      | ( ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
        = $false )
      | ( ( ~ ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 ) )
        = $true )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1009]) ).

thf(1036,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                      | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
                | ~ ( coll @ SV165 @ SV31 @ SV98 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1010]) ).

thf(1037,plain,
    ! [SV169: $i,SV35: $i,SV276: $i,SV230: $i,SV102: $i] :
      ( ( ( coll @ SV102 @ SV230 @ SV276 )
        = $false )
      | ( ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
              | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1011]) ).

thf(1038,plain,
    ! [SV106: $i,SV173: $i,SV39: $i] :
      ( ( ( ~ ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) )
        = $false )
      | ( ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
        = $false )
      | ( ( perp @ SV39 @ SV173 @ SV173 @ SV106 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1012]) ).

thf(1039,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ( ~ ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) ) )
        = $false )
      | ( ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
        = $false )
      | ( ( perp @ SV39 @ SV173 @ SV173 @ SV106 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1012]) ).

thf(1040,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                    | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
              | ~ ( coll @ SV279 @ SV107 @ SV234 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1013]) ).

thf(1041,plain,
    ! [SV238: $i,SV178: $i,SV111: $i,SV44: $i,SV329: $i,SV321: $i,SV309: $i,SV281: $i] :
      ( ( ( perp @ SV281 @ SV309 @ SV321 @ SV329 )
        = $false )
      | ( ( eqangle @ SV44 @ SV111 @ SV178 @ SV238 @ SV281 @ SV309 @ SV321 @ SV329 )
        = $false )
      | ( ( perp @ SV44 @ SV111 @ SV178 @ SV238 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1014]) ).

thf(1042,plain,
    ! [SV179: $i,SV112: $i,SV45: $i,SV239: $i] :
      ( ( ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
          | ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) )
        = $false )
      | ( ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
        = $false )
      | ( ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1015]) ).

thf(1043,plain,
    ! [SV240: $i,SV180: $i,SV113: $i,SV46: $i,SV330: $i,SV322: $i,SV310: $i,SV282: $i] :
      ( ( ( cong @ SV282 @ SV310 @ SV322 @ SV330 )
        = $false )
      | ( ( eqratio @ SV46 @ SV113 @ SV180 @ SV240 @ SV282 @ SV310 @ SV322 @ SV330 )
        = $false )
      | ( ( cong @ SV46 @ SV113 @ SV180 @ SV240 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1016]) ).

thf(1044,plain,
    ! [SV243: $i,SV116: $i,SV183: $i,SV49: $i,SV283: $i] :
      ( ( ( cong @ SV283 @ SV49 @ SV283 @ SV183 )
        = $false )
      | ( ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
        = $false )
      | ( ( ~ ( cong @ SV283 @ SV49 @ SV283 @ SV243 ) )
        = $true )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1017]) ).

thf(1045,plain,
    ! [SV244: $i,SV184: $i,SV117: $i,SV50: $i,SV331: $i,SV323: $i,SV311: $i,SV284: $i] :
      ( ( ( para @ SV284 @ SV311 @ SV323 @ SV331 )
        = $false )
      | ( ( eqangle @ SV50 @ SV117 @ SV184 @ SV244 @ SV284 @ SV311 @ SV323 @ SV331 )
        = $false )
      | ( ( para @ SV50 @ SV117 @ SV184 @ SV244 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1018]) ).

thf(1046,plain,
    ! [SV247: $i,SV187: $i,SV120: $i,SV53: $i] :
      ( ( ( cyclic @ SV53 @ SV120 @ SV187 @ SV247 )
        = $false )
      | ( ( cong @ SV53 @ SV187 @ SV120 @ SV187 )
        = $false )
      | ( ( cong @ SV53 @ SV247 @ SV120 @ SV247 )
        = $false )
      | ( ( perp @ SV187 @ SV53 @ SV53 @ SV247 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1019]) ).

thf(1047,plain,
    ! [SV188: $i,SV248: $i,SV54: $i,SV121: $i] :
      ( ( ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
          | ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) )
        = $false )
      | ( ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
        = $false )
      | ( ( cong @ SV188 @ SV54 @ SV188 @ SV121 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1020]) ).

thf(1048,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
          | ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
        = $true )
      | ( ( ~ ( midp @ SV285 @ SV122 @ SV249 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1021]) ).

thf(1049,plain,
    ! [SV251: $i,SV191: $i,SV287: $i,SV124: $i,SV57: $i] :
      ( ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                    | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
              | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1022]) ).

thf(1050,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
          | ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
        = $true )
      | ( ( ~ ( midp @ SV293 @ SV67 @ SV134 ) )
        = $true )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1023]) ).

thf(1051,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                      | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
          | ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1024]) ).

thf(1052,plain,
    ! [SV136: $i,SV203: $i,SV2: $i,SV69: $i] :
      ( ( ( ~ ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) ) )
        = $false )
      | ( ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
        = $false )
      | ( ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1025]) ).

thf(1053,plain,
    ! [SV136: $i,SV2: $i,SV69: $i,SV203: $i] :
      ( ( ( ~ ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 ) )
        = $false )
      | ( ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
        = $false )
      | ( ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1025]) ).

thf(1054,plain,
    ! [SV261: $i,SV204: $i,SV137: $i,SV70: $i,SV3: $i] :
      ( ( ( coll @ SV3 @ SV70 @ SV137 )
        = $true )
      | ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
        = $false )
      | ( ( ~ ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
              | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1026]) ).

thf(1055,plain,
    ! [SV139: $i,SV206: $i,SV5: $i,SV72: $i] :
      ( ( ( ~ ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) ) )
        = $false )
      | ( ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
        = $false )
      | ( ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1027]) ).

thf(1056,plain,
    ! [SV139: $i,SV206: $i,SV5: $i,SV72: $i] :
      ( ( ( ~ ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 ) )
        = $false )
      | ( ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
        = $false )
      | ( ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1027]) ).

thf(1057,plain,
    ! [SV140: $i,SV6: $i,SV207: $i,SV73: $i,SV262: $i] :
      ( ( ( coll @ SV262 @ SV73 @ SV207 )
        = $false )
      | ( ( para @ SV6 @ SV73 @ SV140 @ SV207 )
        = $false )
      | ( ( coll @ SV262 @ SV6 @ SV140 )
        = $false )
      | ( ( eqratio @ SV262 @ SV6 @ SV6 @ SV140 @ SV262 @ SV73 @ SV73 @ SV207 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1028]) ).

thf(1058,plain,
    ! [SV337: $i,SV336: $i,SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
          | ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SV336 @ SV337 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SV336 @ SV337 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1029]) ).

thf(1059,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                    | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
              | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1030]) ).

thf(1060,plain,
    ! [SV266: $i,SV298: $i,SV215: $i,SV84: $i,SV151: $i,SV17: $i] :
      ( ( ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 )
        = $false )
      | ( ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
        = $false )
      | ( ( ~ ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        = $true )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1031]) ).

thf(1061,plain,
    ! [SV154: $i,SV87: $i,SV218: $i,SV20: $i] :
      ( ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( ~ ( perp @ SV87 @ SV218 @ SV20 @ SV154 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                          | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                    | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
              | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1032]) ).

thf(1062,plain,
    ! [SV89: $i,SV219: $i,SV156: $i,SV22: $i,SV268: $i] :
      ( ( ( coll @ SV268 @ SV22 @ SV156 )
        = $false )
      | ( ( midp @ SV219 @ SV22 @ SV89 )
        = $false )
      | ( ( para @ SV219 @ SV268 @ SV89 @ SV156 )
        = $false )
      | ( ( midp @ SV268 @ SV22 @ SV156 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1033]) ).

thf(1063,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
          | ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1034]) ).

thf(1064,plain,
    ! [SV272: $i,SV225: $i,SV163: $i,SV96: $i,SV29: $i] :
      ( ( ( eqangle @ SV29 @ SV96 @ SV29 @ SV163 @ SV225 @ SV96 @ SV225 @ SV272 )
        = $false )
      | ( ( circle @ SV225 @ SV29 @ SV96 @ SV163 )
        = $false )
      | ( ( coll @ SV272 @ SV96 @ SV163 )
        = $false )
      | ( ( midp @ SV272 @ SV96 @ SV163 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1035]) ).

thf(1065,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                    | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
              | ~ ( coll @ SV165 @ SV31 @ SV98 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1036]) ).

thf(1066,plain,
    ! [SV35: $i,SV169: $i,SV102: $i,SV230: $i,SV276: $i] :
      ( ( ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
          | ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) )
        = $false )
      | ( ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
        = $false )
      | ( ( coll @ SV102 @ SV230 @ SV276 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1037]) ).

thf(1067,plain,
    ! [SV106: $i,SV173: $i,SV39: $i] :
      ( ( ( coll @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
        = $true )
      | ( ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
        = $false )
      | ( ( perp @ SV39 @ SV173 @ SV173 @ SV106 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1038]) ).

thf(1068,plain,
    ! [SV106: $i,SV39: $i,SV173: $i] :
      ( ( ( cong @ SV173 @ SV39 @ SV173 @ ( sK7_SY973 @ SV106 @ SV39 @ SV173 ) )
        = $true )
      | ( ( cong @ SV173 @ SV39 @ SV173 @ SV106 )
        = $false )
      | ( ( perp @ SV39 @ SV173 @ SV173 @ SV106 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1039]) ).

thf(1069,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
          | ~ ( coll @ SV279 @ SV107 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1040]) ).

thf(1070,plain,
    ! [SV179: $i,SV112: $i,SV45: $i,SV239: $i] :
      ( ( ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 ) )
        = $false )
      | ( ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
        = $false )
      | ( ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1042]) ).

thf(1071,plain,
    ! [SV179: $i,SV112: $i,SV45: $i,SV239: $i] :
      ( ( ( ~ ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 ) )
        = $false )
      | ( ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
        = $false )
      | ( ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1042]) ).

thf(1072,plain,
    ! [SV183: $i,SV116: $i,SV243: $i,SV49: $i,SV283: $i] :
      ( ( ( cong @ SV283 @ SV49 @ SV283 @ SV243 )
        = $false )
      | ( ( cong @ SV283 @ SV49 @ SV283 @ SV116 )
        = $false )
      | ( ( cong @ SV283 @ SV49 @ SV283 @ SV183 )
        = $false )
      | ( ( cyclic @ SV49 @ SV116 @ SV183 @ SV243 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1044]) ).

thf(1073,plain,
    ! [SV188: $i,SV248: $i,SV54: $i,SV121: $i] :
      ( ( ( ~ ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) ) )
        = $false )
      | ( ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
        = $false )
      | ( ( cong @ SV188 @ SV54 @ SV188 @ SV121 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1047]) ).

thf(1074,plain,
    ! [SV188: $i,SV248: $i,SV54: $i,SV121: $i] :
      ( ( ( ~ ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 ) )
        = $false )
      | ( ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
        = $false )
      | ( ( cong @ SV188 @ SV54 @ SV188 @ SV121 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1047]) ).

thf(1075,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ( ~ ( perp @ SV55 @ SV122 @ SV55 @ SV189 ) )
        = $true )
      | ( ( ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
        = $true )
      | ( ( ~ ( midp @ SV285 @ SV122 @ SV249 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1048]) ).

thf(1076,plain,
    ! [SV251: $i,SV57: $i,SV124: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
          | ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) )
        = $false )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1049]) ).

thf(1077,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( ~ ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 ) )
        = $true )
      | ( ( ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
        = $true )
      | ( ( ~ ( midp @ SV293 @ SV67 @ SV134 ) )
        = $true )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1050]) ).

thf(1078,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                      | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
                | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) ) )
        = $true )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1051]) ).

thf(1079,plain,
    ! [SV136: $i,SV203: $i,SV2: $i,SV69: $i] :
      ( ( ( coll @ SV69 @ SV2 @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) )
        = $true )
      | ( ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
        = $false )
      | ( ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1052]) ).

thf(1080,plain,
    ! [SV136: $i,SV2: $i,SV69: $i,SV203: $i] :
      ( ( ( coll @ ( sK8_SY1047 @ SV203 @ SV69 @ SV2 @ SV136 ) @ SV136 @ SV203 )
        = $true )
      | ( ( cong @ SV136 @ SV2 @ SV136 @ SV69 )
        = $false )
      | ( ( eqangle @ SV2 @ SV136 @ SV136 @ SV203 @ SV136 @ SV203 @ SV136 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1053]) ).

thf(1081,plain,
    ! [SV204: $i,SV261: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
          | ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) )
        = $false )
      | ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
        = $false )
      | ( ( coll @ SV3 @ SV70 @ SV137 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1054]) ).

thf(1082,plain,
    ! [SV139: $i,SV206: $i,SV5: $i,SV72: $i] :
      ( ( ( coll @ SV72 @ SV5 @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) )
        = $true )
      | ( ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
        = $false )
      | ( ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1055]) ).

thf(1083,plain,
    ! [SV139: $i,SV206: $i,SV5: $i,SV72: $i] :
      ( ( ( coll @ ( sK9_SY1050 @ SV72 @ SV5 @ SV206 @ SV139 ) @ SV139 @ SV206 )
        = $true )
      | ( ( perp @ SV139 @ SV206 @ SV5 @ SV72 )
        = $false )
      | ( ( eqangle @ SV5 @ SV139 @ SV139 @ SV206 @ SV139 @ SV206 @ SV139 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1056]) ).

thf(1084,plain,
    ! [SV337: $i,SV336: $i,SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ( ~ ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SV336 @ SV337 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SV336 @ SV337 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1058]) ).

thf(1085,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
          | ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
        = $true )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1059]) ).

thf(1086,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( ~ ( coll @ SV17 @ SV84 @ SV151 ) )
        = $false )
      | ( ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
        = $false )
      | ( ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 )
        = $false )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1060]) ).

thf(1087,plain,
    ! [SV154: $i,SV20: $i,SV218: $i,SV87: $i] :
      ( ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                          | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                    | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
              | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1061]) ).

thf(1088,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1063]) ).

thf(1089,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
          | ~ ( coll @ SV165 @ SV31 @ SV98 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1065]) ).

thf(1090,plain,
    ! [SV35: $i,SV169: $i,SV102: $i,SV230: $i,SV276: $i] :
      ( ( ( ~ ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 ) )
        = $false )
      | ( ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
        = $false )
      | ( ( coll @ SV102 @ SV230 @ SV276 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1066]) ).

thf(1091,plain,
    ! [SV35: $i,SV169: $i,SV102: $i,SV230: $i,SV276: $i] :
      ( ( ( ~ ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 ) )
        = $false )
      | ( ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
        = $false )
      | ( ( coll @ SV102 @ SV230 @ SV276 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1066]) ).

thf(1092,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
                | ~ ( coll @ SV279 @ SV40 @ SV174 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV279 @ SV107 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1069]) ).

thf(1093,plain,
    ! [SV179: $i,SV112: $i,SV45: $i,SV239: $i] :
      ( ( ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV45 @ SV112 )
        = $true )
      | ( ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
        = $false )
      | ( ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1070]) ).

thf(1094,plain,
    ! [SV179: $i,SV112: $i,SV45: $i,SV239: $i] :
      ( ( ( coll @ ( sK12_SY1107 @ SV239 @ SV45 @ SV112 @ SV179 ) @ SV179 @ SV239 )
        = $true )
      | ( ( perp @ SV179 @ SV112 @ SV112 @ SV45 )
        = $false )
      | ( ( eqangle @ SV239 @ SV179 @ SV112 @ SV179 @ SV112 @ SV179 @ SV45 @ SV179 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1071]) ).

thf(1095,plain,
    ! [SV188: $i,SV248: $i,SV54: $i,SV121: $i] :
      ( ( ( coll @ SV121 @ SV54 @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) )
        = $true )
      | ( ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
        = $false )
      | ( ( cong @ SV188 @ SV54 @ SV188 @ SV121 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1073]) ).

thf(1096,plain,
    ! [SV188: $i,SV248: $i,SV54: $i,SV121: $i] :
      ( ( ( coll @ ( sK14_SY1118 @ SV121 @ SV54 @ SV248 @ SV188 ) @ SV188 @ SV248 )
        = $true )
      | ( ( perp @ SV188 @ SV248 @ SV54 @ SV121 )
        = $false )
      | ( ( cong @ SV188 @ SV54 @ SV188 @ SV121 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1074]) ).

thf(1097,plain,
    ! [SV285: $i,SV249: $i,SV189: $i,SV122: $i,SV55: $i] :
      ( ( ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
        = $false )
      | ( ( ~ ( perp @ SV189 @ SV55 @ SV189 @ SV249 ) )
        = $true )
      | ( ( ~ ( midp @ SV285 @ SV122 @ SV249 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1075]) ).

thf(1098,plain,
    ! [SV251: $i,SV57: $i,SV124: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
                | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) ) )
        = $false )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1076]) ).

thf(1099,plain,
    ! [SV287: $i,SV251: $i,SV57: $i,SV191: $i,SV124: $i] :
      ( ( ( ~ ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) )
        = $false )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1076]) ).

thf(1100,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
        = $false )
      | ( ( ~ ( para @ SV67 @ SV134 @ SV201 @ SV259 ) )
        = $true )
      | ( ( ~ ( midp @ SV293 @ SV67 @ SV134 ) )
        = $true )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1077]) ).

thf(1101,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                    | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
              | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) ) )
        = $false )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1078]) ).

thf(1102,plain,
    ! [SV204: $i,SV261: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ( ~ ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) )
        = $false )
      | ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
        = $false )
      | ( ( coll @ SV3 @ SV70 @ SV137 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1081]) ).

thf(1103,plain,
    ! [SV3: $i,SV261: $i,SV137: $i,SV70: $i,SV204: $i] :
      ( ( ( ~ ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) ) )
        = $false )
      | ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
        = $false )
      | ( ( coll @ SV3 @ SV70 @ SV137 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1081]) ).

thf(1104,plain,
    ! [SV337: $i,SV336: $i,SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i,SV208: $i,SV141: $i,SV74: $i,SV7: $i] :
      ( ( ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
        = $false )
      | ( ( ~ ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SV336 @ SV337 ) )
        = $true )
      | ( ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SV336 @ SV337 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1084]) ).

thf(1105,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
                | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) ) )
        = $true )
      | ( ( ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
        = $true )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1085]) ).

thf(1106,plain,
    ! [SV298: $i,SV266: $i,SV215: $i,SV151: $i,SV84: $i,SV17: $i] :
      ( ( ( coll @ SV17 @ SV84 @ SV151 )
        = $true )
      | ( ( eqangle @ SV17 @ SV84 @ SV84 @ SV151 @ SV215 @ SV266 @ SV266 @ SV298 )
        = $false )
      | ( ( eqangle @ SV17 @ SV151 @ SV84 @ SV151 @ SV215 @ SV298 @ SV266 @ SV298 )
        = $false )
      | ( ( simtri @ SV17 @ SV84 @ SV151 @ SV215 @ SV266 @ SV298 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1086]) ).

thf(1107,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                      | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
          | ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1087]) ).

thf(1108,plain,
    ! [SV301: $i,SV271: $i,SV224: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
        = $false )
      | ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1088]) ).

thf(1109,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
                | ~ ( midp @ SV302 @ SV165 @ SV227 ) ) )
        = $true )
      | ( ( ~ ( coll @ SV165 @ SV31 @ SV98 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1089]) ).

thf(1110,plain,
    ! [SV35: $i,SV169: $i,SV102: $i,SV230: $i,SV276: $i] :
      ( ( ( coll @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV230 @ SV276 )
        = $true )
      | ( ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
        = $false )
      | ( ( coll @ SV102 @ SV230 @ SV276 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1090]) ).

thf(1111,plain,
    ! [SV35: $i,SV169: $i,SV102: $i,SV230: $i,SV276: $i] :
      ( ( ( perp @ ( sK16_SY1165 @ SV276 @ SV230 @ SV102 @ SV169 @ SV35 ) @ SV35 @ SV230 @ SV276 )
        = $true )
      | ( ( perp @ SV35 @ SV169 @ SV169 @ SV102 )
        = $false )
      | ( ( coll @ SV102 @ SV230 @ SV276 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1091]) ).

thf(1112,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
              | ~ ( coll @ SV279 @ SV40 @ SV174 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV279 @ SV107 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1092]) ).

thf(1113,plain,
    ! [SV285: $i,SV122: $i,SV249: $i,SV55: $i,SV189: $i] :
      ( ( ( perp @ SV189 @ SV55 @ SV189 @ SV249 )
        = $false )
      | ( ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
        = $false )
      | ( ( ~ ( midp @ SV285 @ SV122 @ SV249 ) )
        = $true )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1097]) ).

thf(1114,plain,
    ! [SV251: $i,SV57: $i,SV124: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
              | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) ) )
        = $true )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1098]) ).

thf(1115,plain,
    ! [SV287: $i,SV251: $i,SV57: $i,SV191: $i,SV124: $i] :
      ( ( ( cong @ SV124 @ SV191 @ SV124 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
        = $true )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1099]) ).

thf(1116,plain,
    ! [SV293: $i,SV259: $i,SV201: $i,SV134: $i,SV67: $i] :
      ( ( ( para @ SV67 @ SV134 @ SV201 @ SV259 )
        = $false )
      | ( ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
        = $false )
      | ( ( ~ ( midp @ SV293 @ SV67 @ SV134 ) )
        = $true )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1100]) ).

thf(1117,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
          | ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
        = $true )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1101]) ).

thf(1118,plain,
    ! [SV204: $i,SV261: $i,SV70: $i,SV137: $i,SV3: $i] :
      ( ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) @ SV70 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
        = $true )
      | ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
        = $false )
      | ( ( coll @ SV3 @ SV70 @ SV137 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1102]) ).

thf(1119,plain,
    ! [SV3: $i,SV261: $i,SV137: $i,SV70: $i,SV204: $i] :
      ( ( ( cyclic @ SV204 @ SV70 @ SV137 @ ( sK15_SY1142 @ SV261 @ SV204 @ SV70 @ SV137 @ SV3 ) )
        = $true )
      | ( ( eqangle @ SV3 @ SV137 @ SV70 @ SV137 @ SV3 @ SV204 @ SV70 @ SV261 )
        = $false )
      | ( ( coll @ SV3 @ SV70 @ SV137 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1103]) ).

thf(1120,plain,
    ! [SV208: $i,SV141: $i,SV74: $i,SV7: $i,SV337: $i,SV336: $i,SV335: $i,SV334: $i,SV326: $i,SV316: $i,SV295: $i,SV263: $i] :
      ( ( ( eqangle @ SV263 @ SV295 @ SV316 @ SV326 @ SV334 @ SV335 @ SV336 @ SV337 )
        = $false )
      | ( ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV263 @ SV295 @ SV316 @ SV326 )
        = $false )
      | ( ( eqangle @ SV7 @ SV74 @ SV141 @ SV208 @ SV334 @ SV335 @ SV336 @ SV337 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1104]) ).

thf(1121,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ( ~ ( midp @ SV317 @ SV9 @ SV76 )
              | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) ) )
        = $false )
      | ( ( ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
        = $true )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1105]) ).

thf(1122,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                      | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
                | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1107]) ).

thf(1123,plain,
    ! [SV20: $i,SV218: $i,SV154: $i,SV87: $i] :
      ( ( ( ~ ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1107]) ).

thf(1124,plain,
    ! [SV301: $i,SV224: $i,SV271: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 )
        = $false )
      | ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
        = $false )
      | ( ( ~ ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1108]) ).

thf(1125,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ( ~ ( midp @ SV273 @ SV31 @ SV98 )
              | ~ ( midp @ SV302 @ SV165 @ SV227 ) ) )
        = $false )
      | ( ( ~ ( coll @ SV165 @ SV31 @ SV98 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1109]) ).

thf(1126,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 )
          | ~ ( coll @ SV279 @ SV40 @ SV174 ) )
        = $true )
      | ( ( ~ ( coll @ SV279 @ SV107 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1112]) ).

thf(1127,plain,
    ! [SV189: $i,SV55: $i,SV249: $i,SV122: $i,SV285: $i] :
      ( ( ( midp @ SV285 @ SV122 @ SV249 )
        = $false )
      | ( ( perp @ SV55 @ SV122 @ SV55 @ SV189 )
        = $false )
      | ( ( perp @ SV189 @ SV55 @ SV189 @ SV249 )
        = $false )
      | ( ( midp @ ( sK17_SY1182 @ SV285 @ SV249 @ SV189 @ SV122 @ SV55 ) @ SV55 @ SV189 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1113]) ).

thf(1128,plain,
    ! [SV251: $i,SV57: $i,SV124: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
          | ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
        = $false )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1114]) ).

thf(1129,plain,
    ! [SV259: $i,SV201: $i,SV134: $i,SV67: $i,SV293: $i] :
      ( ( ( midp @ SV293 @ SV67 @ SV134 )
        = $false )
      | ( ( cyclic @ SV67 @ SV134 @ SV201 @ SV259 )
        = $false )
      | ( ( para @ SV67 @ SV134 @ SV201 @ SV259 )
        = $false )
      | ( ( circle @ ( sK19_SY1192 @ SV293 @ SV259 @ SV201 @ SV134 @ SV67 ) @ SV67 @ SV134 @ SV201 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1116]) ).

thf(1130,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
                | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) ) )
        = $true )
      | ( ( ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
        = $true )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1117]) ).

thf(1131,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ( midp @ SV317 @ SV9 @ SV76 )
          | ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
        = $true )
      | ( ( ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
        = $true )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1121]) ).

thf(1132,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                    | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
              | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) ) )
        = $true )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1122]) ).

thf(1133,plain,
    ! [SV20: $i,SV218: $i,SV154: $i,SV87: $i] :
      ( ( ( perp @ SV87 @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 )
        = $true )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1123]) ).

thf(1134,plain,
    ! [SV271: $i,SV224: $i,SV301: $i,SV161: $i,SV94: $i,SV27: $i] :
      ( ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 )
        = $false )
      | ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
        = $false )
      | ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 )
        = $false )
      | ( ( ~ ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 ) )
        = $true )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1124]) ).

thf(1135,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ( midp @ SV273 @ SV31 @ SV98 )
          | ~ ( midp @ SV302 @ SV165 @ SV227 ) )
        = $true )
      | ( ( ~ ( coll @ SV165 @ SV31 @ SV98 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1125]) ).

thf(1136,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( ~ ( para @ SV40 @ SV107 @ SV174 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV279 @ SV40 @ SV174 ) )
        = $true )
      | ( ( ~ ( coll @ SV279 @ SV107 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1126]) ).

thf(1137,plain,
    ! [SV251: $i,SV57: $i,SV124: $i,SV191: $i,SV287: $i] :
      ( ( ( ~ ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) ) )
        = $false )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1128]) ).

thf(1138,plain,
    ! [SV287: $i,SV191: $i,SV251: $i,SV57: $i,SV124: $i] :
      ( ( ( ~ ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 ) )
        = $false )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1128]) ).

thf(1139,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
              | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) ) )
        = $false )
      | ( ( ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
        = $true )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1130]) ).

thf(1140,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( ~ ( midp @ SV317 @ SV9 @ SV76 ) )
        = $true )
      | ( ( ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
        = $true )
      | ( ( ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
        = $true )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1131]) ).

thf(1141,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
          | ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1132]) ).

thf(1142,plain,
    ! [SV271: $i,SV224: $i,SV301: $i,SV94: $i,SV27: $i,SV161: $i] :
      ( ( ( eqangle @ SV161 @ SV27 @ SV161 @ SV94 @ SV301 @ SV224 @ SV301 @ SV271 )
        = $false )
      | ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV271 )
        = $false )
      | ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV224 )
        = $false )
      | ( ( cyclic @ SV27 @ SV94 @ SV161 @ SV301 )
        = $false )
      | ( ( cong @ SV27 @ SV94 @ SV224 @ SV271 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1134]) ).

thf(1143,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( ~ ( midp @ SV273 @ SV31 @ SV98 ) )
        = $true )
      | ( ( ~ ( midp @ SV302 @ SV165 @ SV227 ) )
        = $true )
      | ( ( ~ ( coll @ SV165 @ SV31 @ SV98 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1135]) ).

thf(1144,plain,
    ! [SV307: $i,SV279: $i,SV234: $i,SV174: $i,SV107: $i,SV40: $i] :
      ( ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( ~ ( coll @ SV279 @ SV40 @ SV174 ) )
        = $true )
      | ( ( ~ ( coll @ SV279 @ SV107 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1136]) ).

thf(1145,plain,
    ! [SV251: $i,SV57: $i,SV124: $i,SV191: $i,SV287: $i] :
      ( ( ( cong @ SV287 @ SV191 @ SV287 @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) )
        = $true )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1137]) ).

thf(1146,plain,
    ! [SV287: $i,SV191: $i,SV251: $i,SV57: $i,SV124: $i] :
      ( ( ( para @ ( sK18_SY1184 @ SV124 @ SV57 @ SV251 @ SV191 @ SV287 ) @ SV191 @ SV57 @ SV124 )
        = $true )
      | ( ( cong @ SV287 @ SV191 @ SV287 @ SV251 )
        = $false )
      | ( ( perp @ SV57 @ SV124 @ SV124 @ SV287 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1138]) ).

thf(1147,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
          | ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
        = $true )
      | ( ( ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
        = $true )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1139]) ).

thf(1148,plain,
    ! [SV264: $i,SV296: $i,SV210: $i,SV76: $i,SV9: $i,SV317: $i] :
      ( ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( ~ ( para @ SV9 @ SV210 @ SV296 @ SV317 ) )
        = $true )
      | ( ( ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
        = $true )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1140]) ).

thf(1149,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
                | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1141]) ).

thf(1150,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1141]) ).

thf(1151,plain,
    ! [SV319: $i,SV227: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV273: $i] :
      ( ( ( midp @ SV273 @ SV31 @ SV98 )
        = $false )
      | ( ( ~ ( midp @ SV302 @ SV165 @ SV227 ) )
        = $true )
      | ( ( ~ ( coll @ SV165 @ SV31 @ SV98 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1143]) ).

thf(1152,plain,
    ! [SV307: $i,SV234: $i,SV107: $i,SV174: $i,SV40: $i,SV279: $i] :
      ( ( ( coll @ SV279 @ SV40 @ SV174 )
        = $false )
      | ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( ~ ( coll @ SV279 @ SV107 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1144]) ).

thf(1153,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( ~ ( circle @ SV260 @ SV1 @ SV68 @ SV135 ) )
        = $true )
      | ( ( ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
        = $true )
      | ( ( ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
        = $true )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1147]) ).

thf(1154,plain,
    ! [SV264: $i,SV76: $i,SV317: $i,SV296: $i,SV210: $i,SV9: $i] :
      ( ( ( para @ SV9 @ SV210 @ SV296 @ SV317 )
        = $false )
      | ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( ~ ( para @ SV9 @ SV210 @ SV76 @ SV264 ) )
        = $true )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1148]) ).

thf(1155,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
              | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) ) )
        = $true )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1149]) ).

thf(1156,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( coll @ ( sK23_SY1205 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV20 )
        = $true )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1150]) ).

thf(1157,plain,
    ! [SV319: $i,SV98: $i,SV31: $i,SV273: $i,SV227: $i,SV165: $i,SV302: $i] :
      ( ( ( midp @ SV302 @ SV165 @ SV227 )
        = $false )
      | ( ( midp @ SV273 @ SV31 @ SV98 )
        = $false )
      | ( ( ~ ( coll @ SV165 @ SV31 @ SV98 ) )
        = $true )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1151]) ).

thf(1158,plain,
    ! [SV307: $i,SV174: $i,SV40: $i,SV234: $i,SV107: $i,SV279: $i] :
      ( ( ( coll @ SV279 @ SV107 @ SV234 )
        = $false )
      | ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( coll @ SV279 @ SV40 @ SV174 )
        = $false )
      | ( ( ~ ( coll @ SV307 @ SV40 @ SV107 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1152]) ).

thf(1159,plain,
    ! [SV294: $i,SV202: $i,SV135: $i,SV68: $i,SV1: $i,SV260: $i] :
      ( ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( ~ ( cong @ SV260 @ SV1 @ SV260 @ SV202 ) )
        = $true )
      | ( ( ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
        = $true )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1153]) ).

thf(1160,plain,
    ! [SV296: $i,SV317: $i,SV264: $i,SV76: $i,SV210: $i,SV9: $i] :
      ( ( ( para @ SV9 @ SV210 @ SV76 @ SV264 )
        = $false )
      | ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV296 @ SV317 )
        = $false )
      | ( ( ~ ( coll @ SV210 @ SV264 @ SV296 ) )
        = $true )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1154]) ).

thf(1161,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
          | ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1155]) ).

thf(1162,plain,
    ! [SV319: $i,SV227: $i,SV302: $i,SV273: $i,SV98: $i,SV31: $i,SV165: $i] :
      ( ( ( coll @ SV165 @ SV31 @ SV98 )
        = $false )
      | ( ( midp @ SV273 @ SV31 @ SV98 )
        = $false )
      | ( ( midp @ SV302 @ SV165 @ SV227 )
        = $false )
      | ( ( ~ ( coll @ SV227 @ SV31 @ SV98 ) )
        = $true )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1157]) ).

thf(1163,plain,
    ! [SV234: $i,SV174: $i,SV279: $i,SV107: $i,SV40: $i,SV307: $i] :
      ( ( ( coll @ SV307 @ SV40 @ SV107 )
        = $false )
      | ( ( coll @ SV279 @ SV40 @ SV174 )
        = $false )
      | ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( coll @ SV279 @ SV107 @ SV234 )
        = $false )
      | ( ( ~ ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
              | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1158]) ).

thf(1164,plain,
    ! [SV294: $i,SV135: $i,SV68: $i,SV202: $i,SV1: $i,SV260: $i] :
      ( ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( ~ ( cong @ SV294 @ SV1 @ SV294 @ SV68 ) )
        = $true )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1159]) ).

thf(1165,plain,
    ! [SV76: $i,SV317: $i,SV9: $i,SV296: $i,SV264: $i,SV210: $i] :
      ( ( ( coll @ SV210 @ SV264 @ SV296 )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV296 @ SV317 )
        = $false )
      | ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV76 @ SV264 )
        = $false )
      | ( ( ~ ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
              | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1160]) ).

thf(1166,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( ~ ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1161]) ).

thf(1167,plain,
    ! [SV218: $i,SV87: $i,SV154: $i,SV20: $i] :
      ( ( ( ~ ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 ) )
        = $false )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1161]) ).

thf(1168,plain,
    ! [SV319: $i,SV273: $i,SV165: $i,SV302: $i,SV98: $i,SV31: $i,SV227: $i] :
      ( ( ( coll @ SV227 @ SV31 @ SV98 )
        = $false )
      | ( ( midp @ SV302 @ SV165 @ SV227 )
        = $false )
      | ( ( midp @ SV273 @ SV31 @ SV98 )
        = $false )
      | ( ( coll @ SV165 @ SV31 @ SV98 )
        = $false )
      | ( ( midp @ ( sK24_SY1228 @ SV319 @ SV227 @ SV165 @ SV302 @ SV98 @ SV31 @ SV273 ) @ SV31 @ SV319 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1162]) ).

thf(1169,plain,
    ! [SV40: $i,SV107: $i,SV174: $i,SV234: $i,SV307: $i,SV279: $i] :
      ( ( ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
          | ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) )
        = $false )
      | ( ( coll @ SV279 @ SV107 @ SV234 )
        = $false )
      | ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( coll @ SV279 @ SV40 @ SV174 )
        = $false )
      | ( ( coll @ SV307 @ SV40 @ SV107 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1163]) ).

thf(1170,plain,
    ! [SV202: $i,SV135: $i,SV260: $i,SV68: $i,SV1: $i,SV294: $i] :
      ( ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( ~ ( ( SV260 != SV294 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1164]) ).

thf(1171,plain,
    ! [SV317: $i,SV9: $i,SV76: $i,SV210: $i,SV296: $i,SV264: $i] :
      ( ( ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
          | ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV76 @ SV264 )
        = $false )
      | ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV296 @ SV317 )
        = $false )
      | ( ( coll @ SV210 @ SV264 @ SV296 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1165]) ).

thf(1172,plain,
    ! [SV20: $i,SV218: $i,SV87: $i,SV154: $i] :
      ( ( ( coll @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
        = $true )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1166]) ).

thf(1173,plain,
    ! [SV218: $i,SV87: $i,SV154: $i,SV20: $i] :
      ( ( ( perp @ SV20 @ ( sK11_SY1073 @ SV154 @ SV87 @ SV218 @ SV20 ) @ SV154 @ SV87 )
        = $true )
      | ( ( perp @ SV20 @ SV218 @ SV87 @ SV154 )
        = $false )
      | ( ( perp @ SV87 @ SV218 @ SV20 @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1167]) ).

thf(1174,plain,
    ! [SV40: $i,SV107: $i,SV174: $i,SV234: $i,SV307: $i,SV279: $i] :
      ( ( ( ~ ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) ) )
        = $false )
      | ( ( coll @ SV279 @ SV107 @ SV234 )
        = $false )
      | ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( coll @ SV279 @ SV40 @ SV174 )
        = $false )
      | ( ( coll @ SV307 @ SV40 @ SV107 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1169]) ).

thf(1175,plain,
    ! [SV40: $i,SV107: $i,SV174: $i,SV234: $i,SV279: $i,SV307: $i] :
      ( ( ( ~ ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 ) )
        = $false )
      | ( ( coll @ SV279 @ SV107 @ SV234 )
        = $false )
      | ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( coll @ SV279 @ SV40 @ SV174 )
        = $false )
      | ( ( coll @ SV307 @ SV40 @ SV107 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1169]) ).

thf(1176,plain,
    ! [SV135: $i,SV68: $i,SV202: $i,SV1: $i,SV294: $i,SV260: $i] :
      ( ( ( SV260 != SV294 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1170]) ).

thf(1177,plain,
    ! [SV317: $i,SV9: $i,SV76: $i,SV210: $i,SV296: $i,SV264: $i] :
      ( ( ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 ) )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV76 @ SV264 )
        = $false )
      | ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV296 @ SV317 )
        = $false )
      | ( ( coll @ SV210 @ SV264 @ SV296 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1171]) ).

thf(1178,plain,
    ! [SV317: $i,SV9: $i,SV76: $i,SV210: $i,SV296: $i,SV264: $i] :
      ( ( ( ~ ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 ) )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV76 @ SV264 )
        = $false )
      | ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV296 @ SV317 )
        = $false )
      | ( ( coll @ SV210 @ SV264 @ SV296 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1171]) ).

thf(1179,plain,
    ! [SV40: $i,SV107: $i,SV174: $i,SV234: $i,SV307: $i,SV279: $i] :
      ( ( ( coll @ SV279 @ SV307 @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) )
        = $true )
      | ( ( coll @ SV279 @ SV107 @ SV234 )
        = $false )
      | ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( coll @ SV279 @ SV40 @ SV174 )
        = $false )
      | ( ( coll @ SV307 @ SV40 @ SV107 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1174]) ).

thf(1180,plain,
    ! [SV40: $i,SV107: $i,SV174: $i,SV234: $i,SV279: $i,SV307: $i] :
      ( ( ( coll @ ( sK21_SY1208 @ SV307 @ SV279 @ SV234 @ SV174 @ SV107 @ SV40 ) @ SV174 @ SV234 )
        = $true )
      | ( ( coll @ SV279 @ SV107 @ SV234 )
        = $false )
      | ( ( para @ SV40 @ SV107 @ SV174 @ SV234 )
        = $false )
      | ( ( coll @ SV279 @ SV40 @ SV174 )
        = $false )
      | ( ( coll @ SV307 @ SV40 @ SV107 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1175]) ).

thf(1181,plain,
    ! [SV135: $i,SV68: $i,SV202: $i,SV1: $i,SV294: $i,SV260: $i] :
      ( ( ( SV260 = SV294 )
        = $true )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                    | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
              | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1176]) ).

thf(1182,plain,
    ! [SV317: $i,SV9: $i,SV76: $i,SV210: $i,SV296: $i,SV264: $i] :
      ( ( ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV9 @ SV264 )
        = $true )
      | ( ( para @ SV9 @ SV210 @ SV76 @ SV264 )
        = $false )
      | ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV296 @ SV317 )
        = $false )
      | ( ( coll @ SV210 @ SV264 @ SV296 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1177]) ).

thf(1183,plain,
    ! [SV317: $i,SV9: $i,SV76: $i,SV210: $i,SV296: $i,SV264: $i] :
      ( ( ( coll @ ( sK22_SY1226 @ SV264 @ SV296 @ SV210 @ SV76 @ SV9 @ SV317 ) @ SV317 @ SV296 )
        = $true )
      | ( ( para @ SV9 @ SV210 @ SV76 @ SV264 )
        = $false )
      | ( ( midp @ SV317 @ SV9 @ SV76 )
        = $false )
      | ( ( para @ SV9 @ SV210 @ SV296 @ SV317 )
        = $false )
      | ( ( coll @ SV210 @ SV264 @ SV296 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1178]) ).

thf(1184,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                      | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
          | ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1181]) ).

thf(1185,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                      | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
                | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1184]) ).

thf(1186,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1184]) ).

thf(1187,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                    | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
              | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) ) )
        = $true )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1185]) ).

thf(1188,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( cong @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 )
        = $true )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1186]) ).

thf(1189,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
          | ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1187]) ).

thf(1190,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
                | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1189]) ).

thf(1191,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1189]) ).

thf(1192,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
              | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) ) )
        = $true )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1190]) ).

thf(1193,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( coll @ ( sK25_SY1235 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV68 @ SV202 )
        = $true )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1191]) ).

thf(1194,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
          | ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1192]) ).

thf(1195,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1194]) ).

thf(1196,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( ~ ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 ) )
        = $false )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1194]) ).

thf(1197,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( coll @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV1 @ SV135 )
        = $true )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1195]) ).

thf(1198,plain,
    ! [SV260: $i,SV1: $i,SV68: $i,SV135: $i,SV202: $i,SV294: $i] :
      ( ( ( cong @ ( sK20_SY1193 @ SV294 @ SV202 @ SV135 @ SV68 @ SV1 @ SV260 ) @ SV294 @ SV294 @ SV1 )
        = $true )
      | ( ( cong @ SV294 @ SV1 @ SV294 @ SV68 )
        = $false )
      | ( ( circle @ SV260 @ SV1 @ SV68 @ SV135 )
        = $false )
      | ( ( cong @ SV260 @ SV1 @ SV260 @ SV202 )
        = $false )
      | ( ( SV260 = SV294 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1196]) ).

thf(1199,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[245,1198,1197,1193,1188,1183,1182,1180,1179,1173,1172,1168,1156,1146,1145,1142,1133,1129,1127,1120,1119,1118,1115,1111,1110,1106,1096,1095,1094,1093,1083,1082,1080,1079,1072,1068,1067,1064,1062,1057,1046,1045,1043,1041,1003,995,983,982,980,963,962,945,942,938,932,927,926,925,915,911,910,909,905,897,895,893,891,889,867,838,818,798,790,781,713,701,697,669,665,650,648,619,614,602,596,318,249,248,247,246]) ).

thf(1200,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1199]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO618+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17  % Computer : n005.cluster.edu
% 0.07/0.17  % Model    : x86_64 x86_64
% 0.07/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17  % Memory   : 8046.5625MB
% 0.07/0.17  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Oct  6 10:19:29 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 242.11/40.99  
% 242.11/40.99   No.of.Axioms: 67
% 242.11/40.99  
% 242.11/40.99   Length.of.Defs: 0
% 242.11/40.99  
% 242.11/40.99   Contains.Choice.Funs: false
% 242.11/40.99  ......................................................................
% 242.11/40.99  
% 242.11/40.99  ********************************
% 242.11/40.99  *   All subproblems solved!    *
% 242.11/40.99  ********************************
% 242.11/40.99  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:72,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:1199,loop_count:0,foatp_calls:1,translation:fof_full)
% 242.11/40.99  
% 242.11/40.99  %**** Beginning of derivation protocol ****
% 242.11/40.99  % SZS output start CNFRefutation
% See solution above
% 242.11/41.00  
% 242.11/41.00  %**** End of derivation protocol ****
% 242.11/41.00  %**** no. of clauses in derivation: 1173 ****
% 242.11/41.00  %**** clause counter: 1199 ****
% 242.11/41.00  
% 242.11/41.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:72,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:1199,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------