TSTP Solution File: GEO589+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 05:10:51 EDT 2022

% Result   : Theorem 9.87s 10.08s
% Output   : CNFRefutation 10.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :  134
% Syntax   : Number of formulae    : 1476 ( 896 unt;  39 typ;   0 def)
%            Number of atoms       : 9488 (2300 equ;   0 cnn)
%            Maximal formula atoms :    8 (   6 avg)
%            Number of connectives : 32080 (3003   ~;3166   |; 272   &;25440   @)
%                                         (   0 <=>; 199  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  148 ( 148   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   42 (  39 usr;  10 con; 0-8 aty)
%            Number of variables   : 7875 (   0   ^7835   !;  40   ?;7875   :)

% 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_C,type,
    sK10_C: $i > $i > $i > $i ).

thf(tp_sK11_P,type,
    sK11_P: $i > $i > $i > $i > $i ).

thf(tp_sK12_P,type,
    sK12_P: $i > $i > $i > $i > $i > $i ).

thf(tp_sK13_O,type,
    sK13_O: $i > $i > $i > $i ).

thf(tp_sK14_O,type,
    sK14_O: $i > $i > $i > $i > $i ).

thf(tp_sK15_P,type,
    sK15_P: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK16_SY558,type,
    sK16_SY558: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK17_P,type,
    sK17_P: $i > $i > $i > $i > $i ).

thf(tp_sK18_P,type,
    sK18_P: $i > $i > $i > $i > $i ).

thf(tp_sK19_SY559,type,
    sK19_SY559: $i > $i > $i > $i > $i ).

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

thf(tp_sK20_P,type,
    sK20_P: $i > $i > $i > $i > $i > $i ).

thf(tp_sK21_X,type,
    sK21_X: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK22_P,type,
    sK22_P: $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK23_P,type,
    sK23_P: $i > $i > $i > $i > $i > $i > $i ).

thf(tp_sK24_Q,type,
    sK24_Q: $i > $i > $i > $i > $i > $i ).

thf(tp_sK25_M,type,
    sK25_M: $i > $i > $i > $i > $i ).

thf(tp_sK26_M,type,
    sK26_M: $i > $i > $i > $i > $i ).

thf(tp_sK27_M,type,
    sK27_M: $i > $i > $i > $i > $i ).

thf(tp_sK28_B,type,
    sK28_B: $i > $i > $i > $i > $i ).

thf(tp_sK2_SY530,type,
    sK2_SY530: $i ).

thf(tp_sK3_SY537,type,
    sK3_SY537: $i ).

thf(tp_sK4_SY543,type,
    sK4_SY543: $i ).

thf(tp_sK5_SY548,type,
    sK5_SY548: $i ).

thf(tp_sK6_SY552,type,
    sK6_SY552: $i ).

thf(tp_sK7_SY555,type,
    sK7_SY555: $i ).

thf(tp_sK8_SY557,type,
    sK8_SY557: $i ).

thf(tp_sK9_R,type,
    sK9_R: $i > $i > $i > $i > $i > $i > $i ).

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

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

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

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

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

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

thf(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleX12) ).

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

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

thf(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleX8) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(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/sandbox2/benchmark/theBenchmark.p',ruleD65) ).

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

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

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

thf(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD60) ).

thf(35,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( simtri @ A @ B @ C @ P @ Q @ R )
     => ( eqratio @ A @ B @ A @ C @ P @ Q @ P @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD59) ).

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

thf(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD56) ).

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

thf(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD53) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(57,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i,G: $i,P: $i,Q: $i,R: $i] :
      ( ( ( contri @ A @ B @ C @ E @ F @ G )
        & ( contri @ E @ F @ G @ P @ Q @ R ) )
     => ( contri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD38) ).

thf(58,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( contri @ P @ Q @ R @ A @ B @ C )
     => ( contri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD37) ).

thf(59,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( contri @ B @ A @ C @ Q @ P @ R )
     => ( contri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD36) ).

thf(60,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( contri @ A @ C @ B @ P @ R @ Q )
     => ( contri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD35) ).

thf(61,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i,G: $i,P: $i,Q: $i,R: $i] :
      ( ( ( simtri @ A @ B @ C @ E @ F @ G )
        & ( simtri @ E @ F @ G @ P @ Q @ R ) )
     => ( simtri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD34) ).

thf(62,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( simtri @ P @ Q @ R @ A @ B @ C )
     => ( simtri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD33) ).

thf(63,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( simtri @ B @ A @ C @ Q @ P @ R )
     => ( simtri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD32) ).

thf(64,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( simtri @ A @ C @ B @ P @ R @ Q )
     => ( simtri @ A @ B @ C @ P @ Q @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD31) ).

thf(65,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( eqratio @ P @ Q @ U @ V @ E @ F @ G @ H ) )
     => ( eqratio @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD30) ).

thf(66,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 )
     => ( eqratio @ A @ B @ P @ Q @ C @ D @ U @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD29) ).

thf(67,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 )
     => ( eqratio @ P @ Q @ U @ V @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD28) ).

thf(68,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 )
     => ( eqratio @ C @ D @ A @ B @ U @ V @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD27) ).

thf(69,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 )
     => ( eqratio @ B @ A @ C @ D @ P @ Q @ U @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD26) ).

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

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

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

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

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

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

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

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

thf(78,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( cyclic @ A @ B @ C @ E ) )
     => ( cyclic @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).

thf(79,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ B @ A @ C @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).

thf(80,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ C @ B @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).

thf(81,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ B @ D @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).

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

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

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

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

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

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

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

thf(89,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( para @ C @ D @ E @ F ) )
     => ( para @ A @ B @ E @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).

thf(90,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ C @ D @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).

thf(91,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ A @ B @ D @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).

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

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

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

thf(95,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,NWPNT1: $i,NWPNT2: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( perp @ A @ C @ B @ D )
        & ( circle @ O @ A @ D @ NWPNT1 )
        & ( circle @ O @ D @ E @ NWPNT2 )
        & ( coll @ E @ D @ O ) )
     => ( para @ B @ E @ A @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416051) ).

thf(96,negated_conjecture,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,NWPNT1: $i,NWPNT2: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( perp @ A @ C @ B @ D )
            & ( circle @ O @ A @ D @ NWPNT1 )
            & ( circle @ O @ D @ E @ NWPNT2 )
            & ( coll @ E @ D @ O ) )
         => ( para @ B @ E @ A @ C ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[95]) ).

thf(97,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,NWPNT1: $i,NWPNT2: $i] :
          ( ( ( circle @ O @ A @ B @ C )
            & ( perp @ A @ C @ B @ D )
            & ( circle @ O @ A @ D @ NWPNT1 )
            & ( circle @ O @ D @ E @ NWPNT2 )
            & ( coll @ E @ D @ O ) )
         => ( para @ B @ E @ A @ C ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[96]) ).

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

thf(99,plain,
    ( ( ! [A: $i,B: $i,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,C: $i,D: $i,M: $i,N: $i] :
        ? [P: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ N @ C @ D ) )
         => ( ( midp @ P @ A @ D )
            & ( para @ P @ M @ B @ D )
            & ( para @ P @ N @ A @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(111,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(112,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(113,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(114,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(115,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(116,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(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 )
            & ( perp @ P @ Q @ U @ V ) )
         => ( perp @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(118,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(119,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(120,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(121,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ N @ C @ D ) )
         => ( eqratio @ M @ A @ A @ B @ N @ C @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(122,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(123,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( midp @ A @ B @ C )
         => ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(124,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(125,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( para @ A @ B @ A @ C )
         => ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(126,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(127,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( para @ A @ C @ B @ D )
            & ( para @ A @ D @ B @ C ) )
         => ( midp @ M @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(128,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
          ( ( ( midp @ M @ A @ B )
            & ( midp @ M @ C @ D ) )
         => ( para @ A @ C @ B @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(129,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(130,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(131,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(132,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( simtri @ A @ B @ C @ P @ Q @ R )
         => ( eqratio @ A @ B @ A @ C @ P @ Q @ P @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(133,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(134,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(135,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(136,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(137,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(138,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(139,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(140,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(141,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(142,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(143,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(144,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(145,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(146,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(147,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ( ( midp @ E @ A @ B )
            & ( midp @ F @ A @ C ) )
         => ( para @ E @ F @ B @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(148,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(149,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(150,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(151,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(152,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(153,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(154,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i,G: $i,P: $i,Q: $i,R: $i] :
          ( ( ( contri @ A @ B @ C @ E @ F @ G )
            & ( contri @ E @ F @ G @ P @ Q @ R ) )
         => ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(155,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( contri @ P @ Q @ R @ A @ B @ C )
         => ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(156,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( contri @ B @ A @ C @ Q @ P @ R )
         => ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(157,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( contri @ A @ C @ B @ P @ R @ Q )
         => ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(158,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i,G: $i,P: $i,Q: $i,R: $i] :
          ( ( ( simtri @ A @ B @ C @ E @ F @ G )
            & ( simtri @ E @ F @ G @ P @ Q @ R ) )
         => ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(159,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( simtri @ P @ Q @ R @ A @ B @ C )
         => ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(160,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( simtri @ B @ A @ C @ Q @ P @ R )
         => ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(161,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ( simtri @ A @ C @ B @ P @ R @ Q )
         => ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(162,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,P: $i,Q: $i,U: $i,V: $i] :
          ( ( ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( eqratio @ P @ Q @ U @ V @ E @ F @ G @ H ) )
         => ( eqratio @ A @ B @ C @ D @ E @ F @ G @ H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(163,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 )
         => ( eqratio @ A @ B @ P @ Q @ C @ D @ U @ V ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(164,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 )
         => ( eqratio @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(165,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 )
         => ( eqratio @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(166,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 )
         => ( eqratio @ B @ A @ C @ D @ P @ Q @ U @ V ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(167,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(168,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(169,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(170,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
          ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
            & ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
         => ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(171,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(172,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(173,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(174,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(175,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
          ( ( ( cyclic @ A @ B @ C @ D )
            & ( cyclic @ A @ B @ C @ E ) )
         => ( cyclic @ B @ C @ D @ E ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(176,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cyclic @ A @ B @ C @ D )
         => ( cyclic @ B @ A @ C @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(177,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cyclic @ A @ B @ C @ D )
         => ( cyclic @ A @ C @ B @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(178,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( cyclic @ A @ B @ C @ D )
         => ( cyclic @ A @ B @ D @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(179,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(180,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(181,plain,
    ( ( ! [A: $i,B: $i,M: $i] :
          ( ( midp @ M @ B @ A )
         => ( midp @ M @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(182,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(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(unfold_def,[status(thm)],[86]) ).

thf(184,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(185,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(186,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ( para @ A @ B @ C @ D )
            & ( para @ C @ D @ E @ F ) )
         => ( para @ A @ B @ E @ F ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(187,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( para @ A @ B @ C @ D )
         => ( para @ C @ D @ A @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(188,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ( para @ A @ B @ C @ D )
         => ( para @ A @ B @ D @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91]) ).

thf(189,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(190,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93]) ).

thf(191,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ( coll @ A @ B @ C )
         => ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94]) ).

thf(192,plain,
    ( ( ! [SY530: $i,SY531: $i,SY532: $i,SY533: $i,SY534: $i,SY535: $i,SY536: $i] :
          ( ( ( circle @ SY532 @ sK1_A @ SY530 @ SY531 )
            & ( perp @ sK1_A @ SY531 @ SY530 @ SY533 )
            & ( circle @ SY532 @ sK1_A @ SY533 @ SY535 )
            & ( circle @ SY532 @ SY533 @ SY534 @ SY536 )
            & ( coll @ SY534 @ SY533 @ SY532 ) )
         => ( para @ SY530 @ SY534 @ sK1_A @ SY531 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[97]) ).

thf(193,plain,
    ( ( ! [SY537: $i,SY538: $i,SY539: $i,SY540: $i,SY541: $i,SY542: $i] :
          ( ( ( circle @ SY538 @ sK1_A @ sK2_SY530 @ SY537 )
            & ( perp @ sK1_A @ SY537 @ sK2_SY530 @ SY539 )
            & ( circle @ SY538 @ sK1_A @ SY539 @ SY541 )
            & ( circle @ SY538 @ SY539 @ SY540 @ SY542 )
            & ( coll @ SY540 @ SY539 @ SY538 ) )
         => ( para @ sK2_SY530 @ SY540 @ sK1_A @ SY537 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[192]) ).

thf(194,plain,
    ( ( ! [SY543: $i,SY544: $i,SY545: $i,SY546: $i,SY547: $i] :
          ( ( ( circle @ SY543 @ sK1_A @ sK2_SY530 @ sK3_SY537 )
            & ( perp @ sK1_A @ sK3_SY537 @ sK2_SY530 @ SY544 )
            & ( circle @ SY543 @ sK1_A @ SY544 @ SY546 )
            & ( circle @ SY543 @ SY544 @ SY545 @ SY547 )
            & ( coll @ SY545 @ SY544 @ SY543 ) )
         => ( para @ sK2_SY530 @ SY545 @ sK1_A @ sK3_SY537 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[193]) ).

thf(195,plain,
    ( ( ! [SY548: $i,SY549: $i,SY550: $i,SY551: $i] :
          ( ( ( circle @ sK4_SY543 @ sK1_A @ sK2_SY530 @ sK3_SY537 )
            & ( perp @ sK1_A @ sK3_SY537 @ sK2_SY530 @ SY548 )
            & ( circle @ sK4_SY543 @ sK1_A @ SY548 @ SY550 )
            & ( circle @ sK4_SY543 @ SY548 @ SY549 @ SY551 )
            & ( coll @ SY549 @ SY548 @ sK4_SY543 ) )
         => ( para @ sK2_SY530 @ SY549 @ sK1_A @ sK3_SY537 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[194]) ).

thf(196,plain,
    ( ( ! [SY552: $i,SY553: $i,SY554: $i] :
          ( ( ( circle @ sK4_SY543 @ sK1_A @ sK2_SY530 @ sK3_SY537 )
            & ( perp @ sK1_A @ sK3_SY537 @ sK2_SY530 @ sK5_SY548 )
            & ( circle @ sK4_SY543 @ sK1_A @ sK5_SY548 @ SY553 )
            & ( circle @ sK4_SY543 @ sK5_SY548 @ SY552 @ SY554 )
            & ( coll @ SY552 @ sK5_SY548 @ sK4_SY543 ) )
         => ( para @ sK2_SY530 @ SY552 @ sK1_A @ sK3_SY537 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[195]) ).

thf(197,plain,
    ( ( ! [SY555: $i,SY556: $i] :
          ( ( ( circle @ sK4_SY543 @ sK1_A @ sK2_SY530 @ sK3_SY537 )
            & ( perp @ sK1_A @ sK3_SY537 @ sK2_SY530 @ sK5_SY548 )
            & ( circle @ sK4_SY543 @ sK1_A @ sK5_SY548 @ SY555 )
            & ( circle @ sK4_SY543 @ sK5_SY548 @ sK6_SY552 @ SY556 )
            & ( coll @ sK6_SY552 @ sK5_SY548 @ sK4_SY543 ) )
         => ( para @ sK2_SY530 @ sK6_SY552 @ sK1_A @ sK3_SY537 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[196]) ).

thf(198,plain,
    ( ( ! [SY557: $i] :
          ( ( ( circle @ sK4_SY543 @ sK1_A @ sK2_SY530 @ sK3_SY537 )
            & ( perp @ sK1_A @ sK3_SY537 @ sK2_SY530 @ sK5_SY548 )
            & ( circle @ sK4_SY543 @ sK1_A @ sK5_SY548 @ sK7_SY555 )
            & ( circle @ sK4_SY543 @ sK5_SY548 @ sK6_SY552 @ SY557 )
            & ( coll @ sK6_SY552 @ sK5_SY548 @ sK4_SY543 ) )
         => ( para @ sK2_SY530 @ sK6_SY552 @ sK1_A @ sK3_SY537 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[197]) ).

thf(199,plain,
    ( ( ( ( circle @ sK4_SY543 @ sK1_A @ sK2_SY530 @ sK3_SY537 )
        & ( perp @ sK1_A @ sK3_SY537 @ sK2_SY530 @ sK5_SY548 )
        & ( circle @ sK4_SY543 @ sK1_A @ sK5_SY548 @ sK7_SY555 )
        & ( circle @ sK4_SY543 @ sK5_SY548 @ sK6_SY552 @ sK8_SY557 )
        & ( coll @ sK6_SY552 @ sK5_SY548 @ sK4_SY543 ) )
     => ( para @ sK2_SY530 @ sK6_SY552 @ sK1_A @ sK3_SY537 ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[198]) ).

thf(200,plain,
    ( ( circle @ sK4_SY543 @ sK1_A @ sK2_SY530 @ sK3_SY537 )
    = $true ),
    inference(standard_cnf,[status(thm)],[199]) ).

thf(201,plain,
    ( ( perp @ sK1_A @ sK3_SY537 @ sK2_SY530 @ sK5_SY548 )
    = $true ),
    inference(standard_cnf,[status(thm)],[199]) ).

thf(202,plain,
    ( ( circle @ sK4_SY543 @ sK1_A @ sK5_SY548 @ sK7_SY555 )
    = $true ),
    inference(standard_cnf,[status(thm)],[199]) ).

thf(203,plain,
    ( ( circle @ sK4_SY543 @ sK5_SY548 @ sK6_SY552 @ sK8_SY557 )
    = $true ),
    inference(standard_cnf,[status(thm)],[199]) ).

thf(204,plain,
    ( ( coll @ sK6_SY552 @ sK5_SY548 @ sK4_SY543 )
    = $true ),
    inference(standard_cnf,[status(thm)],[199]) ).

thf(205,plain,
    ( ( para @ sK2_SY530 @ sK6_SY552 @ sK1_A @ sK3_SY537 )
    = $false ),
    inference(standard_cnf,[status(thm)],[199]) ).

thf(206,plain,
    ( ( ~ ( para @ sK2_SY530 @ sK6_SY552 @ sK1_A @ sK3_SY537 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[205]) ).

thf(207,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
          ( ( ~ ( coll @ P @ A @ C )
            | ~ ( para @ A @ B @ C @ D )
            | ~ ( coll @ P @ B @ D )
            | ~ ( coll @ Q @ A @ B )
            | ( coll @ P @ Q @ ( sK9_R @ Q @ P @ D @ C @ B @ A ) ) )
          & ( ~ ( coll @ P @ A @ C )
            | ~ ( para @ A @ B @ C @ D )
            | ~ ( coll @ P @ B @ D )
            | ~ ( coll @ Q @ A @ B )
            | ( coll @ ( sK9_R @ Q @ P @ D @ C @ B @ A ) @ C @ D ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[98]) ).

thf(208,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
          ( ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( perp @ A @ O @ O @ B )
            | ( coll @ A @ O @ ( sK10_C @ O @ B @ A ) ) )
          & ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( perp @ A @ O @ O @ B )
            | ( cong @ O @ A @ O @ ( sK10_C @ O @ B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[99]) ).

thf(209,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( perp @ A @ B @ A @ C )
          | ~ ( perp @ C @ A @ C @ D )
          | ! [M: $i] :
              ~ ( midp @ M @ B @ D )
          | ( midp @ ( sK11_P @ D @ C @ B @ A ) @ A @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[100]) ).

thf(210,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ( ~ ( coll @ B @ E @ F )
            | ~ ( perp @ A @ C @ C @ B )
            | ( coll @ ( sK12_P @ F @ E @ C @ B @ A ) @ E @ F ) )
          & ( ~ ( coll @ B @ E @ F )
            | ~ ( perp @ A @ C @ C @ B )
            | ( perp @ ( sK12_P @ F @ E @ C @ B @ A ) @ A @ E @ F ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[101]) ).

thf(211,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ! [D: $i] :
              ~ ( cyclic @ A @ B @ C @ D )
          | ~ ( perp @ A @ C @ C @ B )
          | ( circle @ ( sK13_O @ C @ B @ A ) @ A @ B @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[102]) ).

thf(212,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ~ ( para @ A @ B @ C @ D )
          | ! [M: $i] :
              ~ ( midp @ M @ A @ B )
          | ( circle @ ( sK14_O @ D @ C @ B @ A ) @ A @ B @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[103]) ).

thf(213,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ( ( M = N )
            | ~ ( circle @ M @ A @ B @ C )
            | ~ ( cong @ M @ A @ M @ D )
            | ~ ( cong @ N @ A @ N @ B )
            | ( coll @ ( sK15_P @ N @ M @ D @ C @ B @ A ) @ A @ C ) )
          & ( ( M = N )
            | ~ ( circle @ M @ A @ B @ C )
            | ~ ( cong @ M @ A @ M @ D )
            | ~ ( cong @ N @ A @ N @ B )
            | ( cong @ ( sK15_P @ N @ M @ D @ C @ B @ A ) @ N @ N @ A ) )
          & ( ( M = N )
            | ~ ( circle @ M @ A @ B @ C )
            | ~ ( cong @ M @ A @ M @ D )
            | ~ ( cong @ N @ A @ N @ B )
            | ( coll @ ( sK16_SY558 @ N @ M @ D @ C @ B @ A ) @ B @ D ) )
          & ( ( M = N )
            | ~ ( circle @ M @ A @ B @ C )
            | ~ ( cong @ M @ A @ M @ D )
            | ~ ( cong @ N @ A @ N @ B )
            | ( cong @ ( sK16_SY558 @ N @ M @ D @ C @ B @ A ) @ N @ N @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[104]) ).

thf(214,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ~ ( circle @ O @ A @ B @ C )
          | ( perp @ ( sK17_P @ O @ C @ B @ A ) @ A @ A @ O ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[105]) ).

thf(215,plain,
    ( ( ! [A: $i,B: $i,C: $i,H: $i] :
          ( ( ~ ( perp @ A @ H @ B @ C )
            | ~ ( perp @ B @ H @ A @ C )
            | ( coll @ ( sK18_P @ H @ C @ B @ A ) @ C @ B ) )
          & ( ~ ( perp @ A @ H @ B @ C )
            | ~ ( perp @ B @ H @ A @ C )
            | ( perp @ A @ ( sK18_P @ H @ C @ B @ A ) @ C @ B ) )
          & ( ~ ( perp @ A @ H @ B @ C )
            | ~ ( perp @ B @ H @ A @ C )
            | ( coll @ ( sK19_SY559 @ H @ C @ B @ A ) @ C @ A ) )
          & ( ~ ( perp @ A @ H @ B @ C )
            | ~ ( perp @ B @ H @ A @ C )
            | ( perp @ B @ ( sK19_SY559 @ H @ C @ B @ A ) @ C @ A ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[106]) ).

thf(216,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ( ~ ( cong @ O @ C @ O @ D )
            | ~ ( perp @ A @ B @ B @ O )
            | ( cong @ O @ C @ O @ ( sK20_P @ O @ D @ C @ B @ A ) ) )
          & ( ~ ( cong @ O @ C @ O @ D )
            | ~ ( perp @ A @ B @ B @ O )
            | ( para @ ( sK20_P @ O @ D @ C @ B @ A ) @ C @ A @ B ) )
          & ( ~ ( cong @ O @ C @ O @ D )
            | ~ ( perp @ A @ B @ B @ O )
            | ( cong @ B @ C @ B @ ( sK20_P @ O @ D @ C @ B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[107]) ).

thf(217,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i,R: $i,M: $i] :
          ( ( ~ ( midp @ M @ A @ B )
            | ~ ( para @ A @ P @ R @ M )
            | ~ ( para @ A @ P @ B @ Q )
            | ~ ( coll @ P @ Q @ R )
            | ( coll @ ( sK21_X @ M @ R @ Q @ P @ B @ A ) @ A @ Q ) )
          & ( ~ ( midp @ M @ A @ B )
            | ~ ( para @ A @ P @ R @ M )
            | ~ ( para @ A @ P @ B @ Q )
            | ~ ( coll @ P @ Q @ R )
            | ( coll @ ( sK21_X @ M @ R @ Q @ P @ B @ A ) @ M @ R ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[108]) ).

thf(218,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ~ ( midp @ M @ A @ B )
          | ~ ( midp @ N @ C @ D )
          | ~ ( coll @ C @ A @ B )
          | ~ ( coll @ D @ A @ B )
          | ! [Q: $i] : ( midp @ ( sK22_P @ Q @ N @ M @ D @ C @ B @ A ) @ A @ Q ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[109]) ).

thf(219,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ( ~ ( midp @ M @ A @ B )
            | ~ ( midp @ N @ C @ D )
            | ( midp @ ( sK23_P @ N @ M @ D @ C @ B @ A ) @ A @ D ) )
          & ( ~ ( midp @ M @ A @ B )
            | ~ ( midp @ N @ C @ D )
            | ( para @ ( sK23_P @ N @ M @ D @ C @ B @ A ) @ M @ B @ D ) )
          & ( ~ ( midp @ M @ A @ B )
            | ~ ( midp @ N @ C @ D )
            | ( para @ ( sK23_P @ N @ M @ D @ C @ B @ A ) @ N @ A @ C ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[110]) ).

thf(220,plain,
    ( ( ! [A: $i,B: $i,P: $i,X: $i,Y: $i] :
          ( ( ~ ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
            | ( coll @ A @ B @ P )
            | ( cyclic @ X @ B @ P @ ( sK24_Q @ Y @ X @ P @ B @ A ) ) )
          & ( ~ ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
            | ( coll @ A @ B @ P )
            | ( eqangle @ A @ P @ B @ P @ A @ ( sK24_Q @ Y @ X @ P @ B @ A ) @ B @ ( sK24_Q @ Y @ X @ P @ B @ A ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[111]) ).

thf(221,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
          ( ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( perp @ O @ X @ A @ B )
            | ( coll @ B @ A @ ( sK25_M @ X @ O @ B @ A ) ) )
          & ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( perp @ O @ X @ A @ B )
            | ( coll @ ( sK25_M @ X @ O @ B @ A ) @ O @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[112]) ).

thf(222,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
          ( ( ~ ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B )
            | ~ ( perp @ O @ X @ A @ B )
            | ( coll @ B @ A @ ( sK26_M @ X @ O @ B @ A ) ) )
          & ( ~ ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B )
            | ~ ( perp @ O @ X @ A @ B )
            | ( coll @ ( sK26_M @ X @ O @ B @ A ) @ O @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[113]) ).

thf(223,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
          ( ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B )
            | ( coll @ B @ A @ ( sK27_M @ X @ O @ B @ A ) ) )
          & ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B )
            | ( coll @ ( sK27_M @ X @ O @ B @ A ) @ O @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[114]) ).

thf(224,plain,
    ( ( ! [A: $i,M: $i,O: $i,X: $i] :
          ( ( ~ ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O )
            | ~ ( perp @ O @ M @ M @ A )
            | ( coll @ ( sK28_B @ X @ O @ M @ A ) @ A @ M ) )
          & ( ~ ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O )
            | ~ ( perp @ O @ M @ M @ A )
            | ( coll @ ( sK28_B @ X @ O @ M @ A ) @ O @ X ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[115]) ).

thf(225,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
          ( ! [U: $i,V: $i] :
              ( ~ ( cong @ P @ Q @ U @ V )
              | ~ ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V ) )
          | ( cong @ A @ B @ C @ D ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[116]) ).

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(extcnf_combined,[status(esa)],[117]) ).

thf(227,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(extcnf_combined,[status(esa)],[118]) ).

thf(228,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(extcnf_combined,[status(esa)],[119]) ).

thf(229,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(extcnf_combined,[status(esa)],[120]) ).

thf(230,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ~ ( midp @ M @ A @ B )
          | ~ ( midp @ N @ C @ D )
          | ( eqratio @ M @ A @ A @ B @ N @ C @ C @ D ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[121]) ).

thf(231,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( midp @ A @ B @ C )
          | ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[122]) ).

thf(232,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( midp @ A @ B @ C )
          | ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[123]) ).

thf(233,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( coll @ A @ B @ C )
          | ~ ( cong @ A @ B @ A @ C )
          | ( midp @ A @ B @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[124]) ).

thf(234,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( para @ A @ B @ A @ C )
          | ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[125]) ).

thf(235,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ~ ( coll @ O @ A @ C )
          | ~ ( para @ A @ B @ C @ D )
          | ~ ( coll @ O @ B @ D )
          | ( eqratio @ O @ A @ A @ C @ O @ B @ B @ D ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[126]) ).

thf(236,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
          ( ~ ( midp @ M @ A @ B )
          | ~ ( para @ A @ C @ B @ D )
          | ~ ( para @ A @ D @ B @ C )
          | ( midp @ M @ C @ D ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[127]) ).

thf(237,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ! [M: $i] :
              ( ~ ( midp @ M @ A @ B )
              | ~ ( midp @ M @ C @ D ) )
          | ( para @ A @ C @ B @ D ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[128]) ).

thf(238,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(extcnf_combined,[status(esa)],[129]) ).

thf(239,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( cong @ A @ B @ P @ Q )
          | ~ ( simtri @ A @ B @ C @ P @ Q @ R )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[130]) ).

thf(240,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(extcnf_combined,[status(esa)],[131]) ).

thf(241,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ A @ B @ C @ P @ Q @ R )
          | ( eqratio @ A @ B @ A @ C @ P @ Q @ P @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[132]) ).

thf(242,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(extcnf_combined,[status(esa)],[133]) ).

thf(243,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(extcnf_combined,[status(esa)],[134]) ).

thf(244,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(extcnf_combined,[status(esa)],[135]) ).

thf(245,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(extcnf_combined,[status(esa)],[136]) ).

thf(246,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(extcnf_combined,[status(esa)],[137]) ).

thf(247,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(extcnf_combined,[status(esa)],[138]) ).

thf(248,plain,
    ( ( ! [A: $i,B: $i,C: $i,M: $i] :
          ( ~ ( midp @ M @ A @ C )
          | ~ ( perp @ A @ B @ B @ C )
          | ( cong @ A @ M @ B @ M ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[139]) ).

thf(249,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(extcnf_combined,[status(esa)],[140]) ).

thf(250,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(extcnf_combined,[status(esa)],[141]) ).

thf(251,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(extcnf_combined,[status(esa)],[142]) ).

thf(252,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(extcnf_combined,[status(esa)],[143]) ).

thf(253,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(extcnf_combined,[status(esa)],[144]) ).

thf(254,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
          ( ~ ( cong @ O @ A @ O @ B )
          | ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[145]) ).

thf(255,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(extcnf_combined,[status(esa)],[146]) ).

thf(256,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ~ ( midp @ E @ A @ B )
          | ~ ( midp @ F @ A @ C )
          | ( para @ E @ F @ B @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[147]) ).

thf(257,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(extcnf_combined,[status(esa)],[148]) ).

thf(258,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ~ ( coll @ P @ Q @ B )
          | ~ ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
          | ( cyclic @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[149]) ).

thf(259,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(extcnf_combined,[status(esa)],[150]) ).

thf(260,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(extcnf_combined,[status(esa)],[151]) ).

thf(261,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( para @ A @ B @ C @ D )
          | ! [P: $i,Q: $i] : ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[152]) ).

thf(262,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(extcnf_combined,[status(esa)],[153]) ).

thf(263,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i,G: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( contri @ A @ B @ C @ E @ F @ G )
          | ~ ( contri @ E @ F @ G @ P @ Q @ R )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[154]) ).

thf(264,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( contri @ P @ Q @ R @ A @ B @ C )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[155]) ).

thf(265,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( contri @ B @ A @ C @ Q @ P @ R )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[156]) ).

thf(266,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( contri @ A @ C @ B @ P @ R @ Q )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[157]) ).

thf(267,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i,G: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ A @ B @ C @ E @ F @ G )
          | ~ ( simtri @ E @ F @ G @ P @ Q @ R )
          | ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[158]) ).

thf(268,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ P @ Q @ R @ A @ B @ C )
          | ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[159]) ).

thf(269,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ B @ A @ C @ Q @ P @ R )
          | ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[160]) ).

thf(270,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ A @ C @ B @ P @ R @ Q )
          | ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[161]) ).

thf(271,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,P: $i,Q: $i] :
          ( ! [U: $i,V: $i] :
              ( ~ ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
              | ~ ( eqratio @ P @ Q @ U @ V @ E @ F @ G @ H ) )
          | ( eqratio @ A @ B @ C @ D @ E @ F @ G @ H ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[162]) ).

thf(272,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 )
          | ( eqratio @ A @ B @ P @ Q @ C @ D @ U @ V ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[163]) ).

thf(273,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 )
          | ( eqratio @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[164]) ).

thf(274,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 )
          | ( eqratio @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[165]) ).

thf(275,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 )
          | ( eqratio @ B @ A @ C @ D @ P @ Q @ U @ V ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[166]) ).

thf(276,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(extcnf_combined,[status(esa)],[167]) ).

thf(277,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cong @ A @ B @ C @ D )
          | ( cong @ C @ D @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[168]) ).

thf(278,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cong @ A @ B @ C @ D )
          | ( cong @ A @ B @ D @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[169]) ).

thf(279,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(extcnf_combined,[status(esa)],[170]) ).

thf(280,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(extcnf_combined,[status(esa)],[171]) ).

thf(281,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(extcnf_combined,[status(esa)],[172]) ).

thf(282,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(extcnf_combined,[status(esa)],[173]) ).

thf(283,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(extcnf_combined,[status(esa)],[174]) ).

thf(284,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ~ ( cyclic @ A @ B @ C @ E )
          | ( cyclic @ B @ C @ D @ E ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[175]) ).

thf(285,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ( cyclic @ B @ A @ C @ D ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[176]) ).

thf(286,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ( cyclic @ A @ C @ B @ D ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[177]) ).

thf(287,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ( cyclic @ A @ B @ D @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[178]) ).

thf(288,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(extcnf_combined,[status(esa)],[179]) ).

thf(289,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(extcnf_combined,[status(esa)],[180]) ).

thf(290,plain,
    ( ( ! [A: $i,B: $i,M: $i] :
          ( ~ ( midp @ M @ B @ A )
          | ( midp @ M @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[181]) ).

thf(291,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(extcnf_combined,[status(esa)],[182]) ).

thf(292,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(extcnf_combined,[status(esa)],[183]) ).

thf(293,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( perp @ A @ B @ C @ D )
          | ( perp @ C @ D @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[184]) ).

thf(294,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( perp @ A @ B @ C @ D )
          | ( perp @ A @ B @ D @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[185]) ).

thf(295,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ~ ( para @ A @ B @ C @ D )
          | ~ ( para @ C @ D @ E @ F )
          | ( para @ A @ B @ E @ F ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[186]) ).

thf(296,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( para @ A @ B @ C @ D )
          | ( para @ C @ D @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[187]) ).

thf(297,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( para @ A @ B @ C @ D )
          | ( para @ A @ B @ D @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[188]) ).

thf(298,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( coll @ A @ B @ C )
          | ~ ( coll @ A @ B @ D )
          | ( coll @ C @ D @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[189]) ).

thf(299,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( coll @ A @ B @ C )
          | ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[190]) ).

thf(300,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( coll @ A @ B @ C )
          | ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[191]) ).

thf(301,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( coll @ A @ B @ C )
          | ( coll @ A @ C @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[300]) ).

thf(302,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( coll @ A @ B @ C )
          | ( coll @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[299]) ).

thf(303,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)],[298]) ).

thf(304,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( para @ A @ B @ C @ D )
          | ( para @ A @ B @ D @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[297]) ).

thf(305,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( para @ A @ B @ C @ D )
          | ( para @ C @ D @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[296]) ).

thf(306,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ~ ( para @ A @ B @ C @ D )
          | ~ ( para @ C @ D @ E @ F )
          | ( para @ A @ B @ E @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[295]) ).

thf(307,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( perp @ A @ B @ C @ D )
          | ( perp @ A @ B @ D @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[294]) ).

thf(308,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( perp @ A @ B @ C @ D )
          | ( perp @ C @ D @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[293]) ).

thf(309,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)],[292]) ).

thf(310,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)],[291]) ).

thf(311,plain,
    ( ( ! [A: $i,B: $i,M: $i] :
          ( ~ ( midp @ M @ B @ A )
          | ( midp @ M @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[290]) ).

thf(312,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)],[289]) ).

thf(313,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)],[288]) ).

thf(314,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ( cyclic @ A @ B @ D @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[287]) ).

thf(315,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ( cyclic @ A @ C @ B @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[286]) ).

thf(316,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ( cyclic @ B @ A @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[285]) ).

thf(317,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ~ ( cyclic @ A @ B @ C @ E )
          | ( cyclic @ B @ C @ D @ E ) ) )
    = $true ),
    inference(copy,[status(thm)],[284]) ).

thf(318,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)],[283]) ).

thf(319,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)],[282]) ).

thf(320,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)],[281]) ).

thf(321,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)],[280]) ).

thf(322,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)],[279]) ).

thf(323,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cong @ A @ B @ C @ D )
          | ( cong @ A @ B @ D @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[278]) ).

thf(324,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cong @ A @ B @ C @ D )
          | ( cong @ C @ D @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[277]) ).

thf(325,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)],[276]) ).

thf(326,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 )
          | ( eqratio @ B @ A @ C @ D @ P @ Q @ U @ V ) ) )
    = $true ),
    inference(copy,[status(thm)],[275]) ).

thf(327,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 )
          | ( eqratio @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[274]) ).

thf(328,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 )
          | ( eqratio @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[273]) ).

thf(329,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 )
          | ( eqratio @ A @ B @ P @ Q @ C @ D @ U @ V ) ) )
    = $true ),
    inference(copy,[status(thm)],[272]) ).

thf(330,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,P: $i,Q: $i] :
          ( ! [U: $i,V: $i] :
              ( ~ ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V )
              | ~ ( eqratio @ P @ Q @ U @ V @ E @ F @ G @ H ) )
          | ( eqratio @ A @ B @ C @ D @ E @ F @ G @ H ) ) )
    = $true ),
    inference(copy,[status(thm)],[271]) ).

thf(331,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ A @ C @ B @ P @ R @ Q )
          | ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[270]) ).

thf(332,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ B @ A @ C @ Q @ P @ R )
          | ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[269]) ).

thf(333,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ P @ Q @ R @ A @ B @ C )
          | ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[268]) ).

thf(334,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i,G: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ A @ B @ C @ E @ F @ G )
          | ~ ( simtri @ E @ F @ G @ P @ Q @ R )
          | ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[267]) ).

thf(335,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( contri @ A @ C @ B @ P @ R @ Q )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[266]) ).

thf(336,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( contri @ B @ A @ C @ Q @ P @ R )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[265]) ).

thf(337,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( contri @ P @ Q @ R @ A @ B @ C )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[264]) ).

thf(338,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i,G: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( contri @ A @ B @ C @ E @ F @ G )
          | ~ ( contri @ E @ F @ G @ P @ Q @ R )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[263]) ).

thf(339,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)],[262]) ).

thf(340,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( para @ A @ B @ C @ D )
          | ! [P: $i,Q: $i] : ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[261]) ).

thf(341,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)],[260]) ).

thf(342,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)],[259]) ).

thf(343,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i] :
          ( ~ ( coll @ P @ Q @ B )
          | ~ ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
          | ( cyclic @ A @ B @ P @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[258]) ).

thf(344,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)],[257]) ).

thf(345,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ~ ( midp @ E @ A @ B )
          | ~ ( midp @ F @ A @ C )
          | ( para @ E @ F @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[256]) ).

thf(346,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)],[255]) ).

thf(347,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)],[254]) ).

thf(348,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)],[253]) ).

thf(349,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)],[252]) ).

thf(350,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)],[251]) ).

thf(351,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)],[250]) ).

thf(352,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)],[249]) ).

thf(353,plain,
    ( ( ! [A: $i,B: $i,C: $i,M: $i] :
          ( ~ ( midp @ M @ A @ C )
          | ~ ( perp @ A @ B @ B @ C )
          | ( cong @ A @ M @ B @ M ) ) )
    = $true ),
    inference(copy,[status(thm)],[248]) ).

thf(354,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)],[247]) ).

thf(355,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)],[246]) ).

thf(356,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)],[245]) ).

thf(357,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)],[244]) ).

thf(358,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)],[243]) ).

thf(359,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)],[242]) ).

thf(360,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( simtri @ A @ B @ C @ P @ Q @ R )
          | ( eqratio @ A @ B @ A @ C @ P @ Q @ P @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[241]) ).

thf(361,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)],[240]) ).

thf(362,plain,
    ( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
          ( ~ ( cong @ A @ B @ P @ Q )
          | ~ ( simtri @ A @ B @ C @ P @ Q @ R )
          | ( contri @ A @ B @ C @ P @ Q @ R ) ) )
    = $true ),
    inference(copy,[status(thm)],[239]) ).

thf(363,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)],[238]) ).

thf(364,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ! [M: $i] :
              ( ~ ( midp @ M @ A @ B )
              | ~ ( midp @ M @ C @ D ) )
          | ( para @ A @ C @ B @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[237]) ).

thf(365,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
          ( ~ ( midp @ M @ A @ B )
          | ~ ( para @ A @ C @ B @ D )
          | ~ ( para @ A @ D @ B @ C )
          | ( midp @ M @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[236]) ).

thf(366,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ~ ( coll @ O @ A @ C )
          | ~ ( para @ A @ B @ C @ D )
          | ~ ( coll @ O @ B @ D )
          | ( eqratio @ O @ A @ A @ C @ O @ B @ B @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[235]) ).

thf(367,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( para @ A @ B @ A @ C )
          | ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[234]) ).

thf(368,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( coll @ A @ B @ C )
          | ~ ( cong @ A @ B @ A @ C )
          | ( midp @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[233]) ).

thf(369,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( midp @ A @ B @ C )
          | ( cong @ A @ B @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[232]) ).

thf(370,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( midp @ A @ B @ C )
          | ( coll @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[231]) ).

thf(371,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ~ ( midp @ M @ A @ B )
          | ~ ( midp @ N @ C @ D )
          | ( eqratio @ M @ A @ A @ B @ N @ C @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[230]) ).

thf(372,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)],[229]) ).

thf(373,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)],[228]) ).

thf(374,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)],[227]) ).

thf(375,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)],[226]) ).

thf(376,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
          ( ! [U: $i,V: $i] :
              ( ~ ( cong @ P @ Q @ U @ V )
              | ~ ( eqratio @ A @ B @ C @ D @ P @ Q @ U @ V ) )
          | ( cong @ A @ B @ C @ D ) ) )
    = $true ),
    inference(copy,[status(thm)],[225]) ).

thf(377,plain,
    ( ( ! [A: $i,M: $i,O: $i,X: $i] :
          ( ( ~ ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O )
            | ~ ( perp @ O @ M @ M @ A )
            | ( coll @ ( sK28_B @ X @ O @ M @ A ) @ A @ M ) )
          & ( ~ ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O )
            | ~ ( perp @ O @ M @ M @ A )
            | ( coll @ ( sK28_B @ X @ O @ M @ A ) @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[224]) ).

thf(378,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
          ( ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B )
            | ( coll @ B @ A @ ( sK27_M @ X @ O @ B @ A ) ) )
          & ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B )
            | ( coll @ ( sK27_M @ X @ O @ B @ A ) @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[223]) ).

thf(379,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
          ( ( ~ ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B )
            | ~ ( perp @ O @ X @ A @ B )
            | ( coll @ B @ A @ ( sK26_M @ X @ O @ B @ A ) ) )
          & ( ~ ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B )
            | ~ ( perp @ O @ X @ A @ B )
            | ( coll @ ( sK26_M @ X @ O @ B @ A ) @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[222]) ).

thf(380,plain,
    ( ( ! [A: $i,B: $i,O: $i,X: $i] :
          ( ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( perp @ O @ X @ A @ B )
            | ( coll @ B @ A @ ( sK25_M @ X @ O @ B @ A ) ) )
          & ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( perp @ O @ X @ A @ B )
            | ( coll @ ( sK25_M @ X @ O @ B @ A ) @ O @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[221]) ).

thf(381,plain,
    ( ( ! [A: $i,B: $i,P: $i,X: $i,Y: $i] :
          ( ( ~ ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
            | ( coll @ A @ B @ P )
            | ( cyclic @ X @ B @ P @ ( sK24_Q @ Y @ X @ P @ B @ A ) ) )
          & ( ~ ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
            | ( coll @ A @ B @ P )
            | ( eqangle @ A @ P @ B @ P @ A @ ( sK24_Q @ Y @ X @ P @ B @ A ) @ B @ ( sK24_Q @ Y @ X @ P @ B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[220]) ).

thf(382,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ( ~ ( midp @ M @ A @ B )
            | ~ ( midp @ N @ C @ D )
            | ( midp @ ( sK23_P @ N @ M @ D @ C @ B @ A ) @ A @ D ) )
          & ( ~ ( midp @ M @ A @ B )
            | ~ ( midp @ N @ C @ D )
            | ( para @ ( sK23_P @ N @ M @ D @ C @ B @ A ) @ M @ B @ D ) )
          & ( ~ ( midp @ M @ A @ B )
            | ~ ( midp @ N @ C @ D )
            | ( para @ ( sK23_P @ N @ M @ D @ C @ B @ A ) @ N @ A @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[219]) ).

thf(383,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ~ ( midp @ M @ A @ B )
          | ~ ( midp @ N @ C @ D )
          | ~ ( coll @ C @ A @ B )
          | ~ ( coll @ D @ A @ B )
          | ! [Q: $i] : ( midp @ ( sK22_P @ Q @ N @ M @ D @ C @ B @ A ) @ A @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[218]) ).

thf(384,plain,
    ( ( ! [A: $i,B: $i,P: $i,Q: $i,R: $i,M: $i] :
          ( ( ~ ( midp @ M @ A @ B )
            | ~ ( para @ A @ P @ R @ M )
            | ~ ( para @ A @ P @ B @ Q )
            | ~ ( coll @ P @ Q @ R )
            | ( coll @ ( sK21_X @ M @ R @ Q @ P @ B @ A ) @ A @ Q ) )
          & ( ~ ( midp @ M @ A @ B )
            | ~ ( para @ A @ P @ R @ M )
            | ~ ( para @ A @ P @ B @ Q )
            | ~ ( coll @ P @ Q @ R )
            | ( coll @ ( sK21_X @ M @ R @ Q @ P @ B @ A ) @ M @ R ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[217]) ).

thf(385,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,O: $i] :
          ( ( ~ ( cong @ O @ C @ O @ D )
            | ~ ( perp @ A @ B @ B @ O )
            | ( cong @ O @ C @ O @ ( sK20_P @ O @ D @ C @ B @ A ) ) )
          & ( ~ ( cong @ O @ C @ O @ D )
            | ~ ( perp @ A @ B @ B @ O )
            | ( para @ ( sK20_P @ O @ D @ C @ B @ A ) @ C @ A @ B ) )
          & ( ~ ( cong @ O @ C @ O @ D )
            | ~ ( perp @ A @ B @ B @ O )
            | ( cong @ B @ C @ B @ ( sK20_P @ O @ D @ C @ B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[216]) ).

thf(386,plain,
    ( ( ! [A: $i,B: $i,C: $i,H: $i] :
          ( ( ~ ( perp @ A @ H @ B @ C )
            | ~ ( perp @ B @ H @ A @ C )
            | ( coll @ ( sK18_P @ H @ C @ B @ A ) @ C @ B ) )
          & ( ~ ( perp @ A @ H @ B @ C )
            | ~ ( perp @ B @ H @ A @ C )
            | ( perp @ A @ ( sK18_P @ H @ C @ B @ A ) @ C @ B ) )
          & ( ~ ( perp @ A @ H @ B @ C )
            | ~ ( perp @ B @ H @ A @ C )
            | ( coll @ ( sK19_SY559 @ H @ C @ B @ A ) @ C @ A ) )
          & ( ~ ( perp @ A @ H @ B @ C )
            | ~ ( perp @ B @ H @ A @ C )
            | ( perp @ B @ ( sK19_SY559 @ H @ C @ B @ A ) @ C @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[215]) ).

thf(387,plain,
    ( ( ! [A: $i,B: $i,C: $i,O: $i] :
          ( ~ ( circle @ O @ A @ B @ C )
          | ( perp @ ( sK17_P @ O @ C @ B @ A ) @ A @ A @ O ) ) )
    = $true ),
    inference(copy,[status(thm)],[214]) ).

thf(388,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
          ( ( ( M = N )
            | ~ ( circle @ M @ A @ B @ C )
            | ~ ( cong @ M @ A @ M @ D )
            | ~ ( cong @ N @ A @ N @ B )
            | ( coll @ ( sK15_P @ N @ M @ D @ C @ B @ A ) @ A @ C ) )
          & ( ( M = N )
            | ~ ( circle @ M @ A @ B @ C )
            | ~ ( cong @ M @ A @ M @ D )
            | ~ ( cong @ N @ A @ N @ B )
            | ( cong @ ( sK15_P @ N @ M @ D @ C @ B @ A ) @ N @ N @ A ) )
          & ( ( M = N )
            | ~ ( circle @ M @ A @ B @ C )
            | ~ ( cong @ M @ A @ M @ D )
            | ~ ( cong @ N @ A @ N @ B )
            | ( coll @ ( sK16_SY558 @ N @ M @ D @ C @ B @ A ) @ B @ D ) )
          & ( ( M = N )
            | ~ ( circle @ M @ A @ B @ C )
            | ~ ( cong @ M @ A @ M @ D )
            | ~ ( cong @ N @ A @ N @ B )
            | ( cong @ ( sK16_SY558 @ N @ M @ D @ C @ B @ A ) @ N @ N @ A ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[213]) ).

thf(389,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( cyclic @ A @ B @ C @ D )
          | ~ ( para @ A @ B @ C @ D )
          | ! [M: $i] :
              ~ ( midp @ M @ A @ B )
          | ( circle @ ( sK14_O @ D @ C @ B @ A ) @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[212]) ).

thf(390,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ! [D: $i] :
              ~ ( cyclic @ A @ B @ C @ D )
          | ~ ( perp @ A @ C @ C @ B )
          | ( circle @ ( sK13_O @ C @ B @ A ) @ A @ B @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[211]) ).

thf(391,plain,
    ( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
          ( ( ~ ( coll @ B @ E @ F )
            | ~ ( perp @ A @ C @ C @ B )
            | ( coll @ ( sK12_P @ F @ E @ C @ B @ A ) @ E @ F ) )
          & ( ~ ( coll @ B @ E @ F )
            | ~ ( perp @ A @ C @ C @ B )
            | ( perp @ ( sK12_P @ F @ E @ C @ B @ A ) @ A @ E @ F ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[210]) ).

thf(392,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i] :
          ( ~ ( perp @ A @ B @ A @ C )
          | ~ ( perp @ C @ A @ C @ D )
          | ! [M: $i] :
              ~ ( midp @ M @ B @ D )
          | ( midp @ ( sK11_P @ D @ C @ B @ A ) @ A @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[209]) ).

thf(393,plain,
    ( ( ! [A: $i,B: $i,O: $i] :
          ( ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( perp @ A @ O @ O @ B )
            | ( coll @ A @ O @ ( sK10_C @ O @ B @ A ) ) )
          & ( ~ ( cong @ O @ A @ O @ B )
            | ~ ( perp @ A @ O @ O @ B )
            | ( cong @ O @ A @ O @ ( sK10_C @ O @ B @ A ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[208]) ).

thf(394,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
          ( ( ~ ( coll @ P @ A @ C )
            | ~ ( para @ A @ B @ C @ D )
            | ~ ( coll @ P @ B @ D )
            | ~ ( coll @ Q @ A @ B )
            | ( coll @ P @ Q @ ( sK9_R @ Q @ P @ D @ C @ B @ A ) ) )
          & ( ~ ( coll @ P @ A @ C )
            | ~ ( para @ A @ B @ C @ D )
            | ~ ( coll @ P @ B @ D )
            | ~ ( coll @ Q @ A @ B )
            | ( coll @ ( sK9_R @ Q @ P @ D @ C @ B @ A ) @ C @ D ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[207]) ).

thf(395,plain,
    ( ( coll @ sK6_SY552 @ sK5_SY548 @ sK4_SY543 )
    = $true ),
    inference(copy,[status(thm)],[204]) ).

thf(396,plain,
    ( ( circle @ sK4_SY543 @ sK5_SY548 @ sK6_SY552 @ sK8_SY557 )
    = $true ),
    inference(copy,[status(thm)],[203]) ).

thf(397,plain,
    ( ( circle @ sK4_SY543 @ sK1_A @ sK5_SY548 @ sK7_SY555 )
    = $true ),
    inference(copy,[status(thm)],[202]) ).

thf(398,plain,
    ( ( perp @ sK1_A @ sK3_SY537 @ sK2_SY530 @ sK5_SY548 )
    = $true ),
    inference(copy,[status(thm)],[201]) ).

thf(399,plain,
    ( ( circle @ sK4_SY543 @ sK1_A @ sK2_SY530 @ sK3_SY537 )
    = $true ),
    inference(copy,[status(thm)],[200]) ).

thf(400,plain,
    ( ( ~ ( para @ sK2_SY530 @ sK6_SY552 @ sK1_A @ sK3_SY537 ) )
    = $true ),
    inference(copy,[status(thm)],[206]) ).

thf(401,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                | ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 )
                | ( coll @ SX0 @ SX2 @ ( sK10_C @ SX2 @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                | ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 )
                | ( cong @ SX2 @ SX0 @ SX2 @ ( sK10_C @ SX2 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[393]) ).

thf(402,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ~ ( ~ ( ~ ( coll @ SX4 @ SX0 @ SX2 )
                | ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( coll @ SX4 @ SX1 @ SX3 )
                | ~ ( coll @ SX5 @ SX0 @ SX1 )
                | ( coll @ SX4 @ SX5 @ ( sK9_R @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( coll @ SX4 @ SX0 @ SX2 )
                | ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
                | ~ ( coll @ SX4 @ SX1 @ SX3 )
                | ~ ( coll @ SX5 @ SX0 @ SX1 )
                | ( coll @ ( sK9_R @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[394]) ).

thf(403,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ( ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 )
                | ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
                | ( coll @ SX1 @ SX0 @ ( sK26_M @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 )
                | ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
                | ( coll @ ( sK26_M @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[379]) ).

thf(404,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ~ ( ~ ~ ( ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
                      | ~ ( midp @ SX5 @ SX2 @ SX3 )
                      | ( midp @ ( sK23_P @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX3 ) )
                  | ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
                      | ~ ( midp @ SX5 @ SX2 @ SX3 )
                      | ( para @ ( sK23_P @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX4 @ SX1 @ SX3 ) ) )
            | ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
                | ~ ( midp @ SX5 @ SX2 @ SX3 )
                | ( para @ ( sK23_P @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX5 @ SX0 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[382]) ).

thf(405,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ( ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                | ~ ( eqangle @ SX0 @ SX2 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 )
                | ( coll @ SX1 @ SX0 @ ( sK27_M @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                | ~ ( eqangle @ SX0 @ SX2 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 )
                | ( coll @ ( sK27_M @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[378]) ).

thf(406,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ( ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                | ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
                | ( coll @ SX1 @ SX0 @ ( sK25_M @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
                | ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
                | ( coll @ ( sK25_M @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[380]) ).

thf(407,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ~ ( ~ ( ~ ( midp @ SX5 @ SX0 @ SX1 )
                | ~ ( para @ SX0 @ SX2 @ SX4 @ SX5 )
                | ~ ( para @ SX0 @ SX2 @ SX1 @ SX3 )
                | ~ ( coll @ SX2 @ SX3 @ SX4 )
                | ( coll @ ( sK21_X @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX3 ) )
            | ~ ( ~ ( midp @ SX5 @ SX0 @ SX1 )
                | ~ ( para @ SX0 @ SX2 @ SX4 @ SX5 )
                | ~ ( para @ SX0 @ SX2 @ SX1 @ SX3 )
                | ~ ( coll @ SX2 @ SX3 @ SX4 )
                | ( coll @ ( sK21_X @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX5 @ SX4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[384]) ).

thf(408,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
          ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX4 = SX5 )
                            | ~ ( circle @ SX4 @ SX0 @ SX1 @ SX2 )
                            | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX3 )
                            | ~ ( cong @ SX5 @ SX0 @ SX5 @ SX1 )
                            | ( coll @ ( sK15_P @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX2 ) )
                        | ~ ( ( SX4 = SX5 )
                            | ~ ( circle @ SX4 @ SX0 @ SX1 @ SX2 )
                            | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX3 )
                            | ~ ( cong @ SX5 @ SX0 @ SX5 @ SX1 )
                            | ( cong @ ( sK15_P @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX5 @ SX5 @ SX0 ) ) )
                  | ~ ( ( SX4 = SX5 )
                      | ~ ( circle @ SX4 @ SX0 @ SX1 @ SX2 )
                      | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX3 )
                      | ~ ( cong @ SX5 @ SX0 @ SX5 @ SX1 )
                      | ( coll @ ( sK16_SY558 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ SX3 ) ) )
            | ~ ( ( SX4 = SX5 )
                | ~ ( circle @ SX4 @ SX0 @ SX1 @ SX2 )
                | ~ ( cong @ SX4 @ SX0 @ SX4 @ SX3 )
                | ~ ( cong @ SX5 @ SX0 @ SX5 @ SX1 )
                | ( cong @ ( sK16_SY558 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX5 @ SX5 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[388]) ).

thf(409,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ( ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ SX3 @ SX1 @ SX4 )
                | ( coll @ SX0 @ SX1 @ SX2 )
                | ( cyclic @ SX3 @ SX1 @ SX2 @ ( sK24_Q @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
            | ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ SX3 @ SX1 @ SX4 )
                | ( coll @ SX0 @ SX1 @ SX2 )
                | ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ ( sK24_Q @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX1 @ ( sK24_Q @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[381]) ).

thf(410,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ( ~ ( ~ ( coll @ SX1 @ SX3 @ SX4 )
                | ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 )
                | ( coll @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX3 @ SX4 ) )
            | ~ ( ~ ( coll @ SX1 @ SX3 @ SX4 )
                | ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 )
                | ( perp @ ( sK12_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX3 @ SX4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[391]) ).

thf(411,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ( ~ ( ~ ( eqangle @ SX3 @ SX2 @ SX1 @ SX2 @ SX1 @ SX2 @ SX0 @ SX2 )
                | ~ ( perp @ SX2 @ SX1 @ SX1 @ SX0 )
                | ( coll @ ( sK28_B @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 @ SX1 ) )
            | ~ ( ~ ( eqangle @ SX3 @ SX2 @ SX1 @ SX2 @ SX1 @ SX2 @ SX0 @ SX2 )
                | ~ ( perp @ SX2 @ SX1 @ SX1 @ SX0 )
                | ( coll @ ( sK28_B @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[377]) ).

thf(412,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
          ~ ( ~ ~ ( ~ ( ~ ( cong @ SX4 @ SX2 @ SX4 @ SX3 )
                      | ~ ( perp @ SX0 @ SX1 @ SX1 @ SX4 )
                      | ( cong @ SX4 @ SX2 @ SX4 @ ( sK20_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
                  | ~ ( ~ ( cong @ SX4 @ SX2 @ SX4 @ SX3 )
                      | ~ ( perp @ SX0 @ SX1 @ SX1 @ SX4 )
                      | ( para @ ( sK20_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX0 @ SX1 ) ) )
            | ~ ( ~ ( cong @ SX4 @ SX2 @ SX4 @ SX3 )
                | ~ ( perp @ SX0 @ SX1 @ SX1 @ SX4 )
                | ( cong @ SX1 @ SX2 @ SX1 @ ( sK20_P @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[385]) ).

thf(413,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perp @ SX0 @ SX3 @ SX1 @ SX2 )
                            | ~ ( perp @ SX1 @ SX3 @ SX0 @ SX2 )
                            | ( coll @ ( sK18_P @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX1 ) )
                        | ~ ( ~ ( perp @ SX0 @ SX3 @ SX1 @ SX2 )
                            | ~ ( perp @ SX1 @ SX3 @ SX0 @ SX2 )
                            | ( perp @ SX0 @ ( sK18_P @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX1 ) ) )
                  | ~ ( ~ ( perp @ SX0 @ SX3 @ SX1 @ SX2 )
                      | ~ ( perp @ SX1 @ SX3 @ SX0 @ SX2 )
                      | ( coll @ ( sK19_SY559 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX0 ) ) )
            | ~ ( ~ ( perp @ SX0 @ SX3 @ SX1 @ SX2 )
                | ~ ( perp @ SX1 @ SX3 @ SX0 @ SX2 )
                | ( perp @ SX1 @ ( sK19_SY559 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX2 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[386]) ).

thf(414,plain,
    ! [SV1: $i] :
      ( ( ! [SY560: $i,SY561: $i] :
            ( ~ ( coll @ SV1 @ SY560 @ SY561 )
            | ( coll @ SV1 @ SY561 @ SY560 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(415,plain,
    ! [SV2: $i] :
      ( ( ! [SY562: $i,SY563: $i] :
            ( ~ ( coll @ SV2 @ SY562 @ SY563 )
            | ( coll @ SY562 @ SV2 @ SY563 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(416,plain,
    ! [SV3: $i] :
      ( ( ! [SY564: $i,SY565: $i,SY566: $i] :
            ( ~ ( coll @ SV3 @ SY564 @ SY565 )
            | ~ ( coll @ SV3 @ SY564 @ SY566 )
            | ( coll @ SY565 @ SY566 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(417,plain,
    ! [SV4: $i] :
      ( ( ! [SY567: $i,SY568: $i,SY569: $i] :
            ( ~ ( para @ SV4 @ SY567 @ SY568 @ SY569 )
            | ( para @ SV4 @ SY567 @ SY569 @ SY568 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(418,plain,
    ! [SV5: $i] :
      ( ( ! [SY570: $i,SY571: $i,SY572: $i] :
            ( ~ ( para @ SV5 @ SY570 @ SY571 @ SY572 )
            | ( para @ SY571 @ SY572 @ SV5 @ SY570 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(419,plain,
    ! [SV6: $i] :
      ( ( ! [SY573: $i,SY574: $i,SY575: $i,SY576: $i,SY577: $i] :
            ( ~ ( para @ SV6 @ SY573 @ SY574 @ SY575 )
            | ~ ( para @ SY574 @ SY575 @ SY576 @ SY577 )
            | ( para @ SV6 @ SY573 @ SY576 @ SY577 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(420,plain,
    ! [SV7: $i] :
      ( ( ! [SY578: $i,SY579: $i,SY580: $i] :
            ( ~ ( perp @ SV7 @ SY578 @ SY579 @ SY580 )
            | ( perp @ SV7 @ SY578 @ SY580 @ SY579 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(421,plain,
    ! [SV8: $i] :
      ( ( ! [SY581: $i,SY582: $i,SY583: $i] :
            ( ~ ( perp @ SV8 @ SY581 @ SY582 @ SY583 )
            | ( perp @ SY582 @ SY583 @ SV8 @ SY581 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(422,plain,
    ! [SV9: $i] :
      ( ( ! [SY584: $i,SY585: $i,SY586: $i,SY587: $i,SY588: $i] :
            ( ~ ( perp @ SV9 @ SY584 @ SY585 @ SY586 )
            | ~ ( perp @ SY585 @ SY586 @ SY587 @ SY588 )
            | ( para @ SV9 @ SY584 @ SY587 @ SY588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(423,plain,
    ! [SV10: $i] :
      ( ( ! [SY589: $i,SY590: $i,SY591: $i,SY592: $i,SY593: $i] :
            ( ~ ( para @ SV10 @ SY589 @ SY590 @ SY591 )
            | ~ ( perp @ SY590 @ SY591 @ SY592 @ SY593 )
            | ( perp @ SV10 @ SY589 @ SY592 @ SY593 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(424,plain,
    ! [SV11: $i] :
      ( ( ! [SY594: $i,SY595: $i] :
            ( ~ ( midp @ SY595 @ SY594 @ SV11 )
            | ( midp @ SY595 @ SV11 @ SY594 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(425,plain,
    ! [SV12: $i] :
      ( ( ! [SY596: $i,SY597: $i,SY598: $i] :
            ( ~ ( cong @ SY598 @ SV12 @ SY598 @ SY596 )
            | ~ ( cong @ SY598 @ SV12 @ SY598 @ SY597 )
            | ( circle @ SY598 @ SV12 @ SY596 @ SY597 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(426,plain,
    ! [SV13: $i] :
      ( ( ! [SY599: $i,SY600: $i,SY601: $i] :
            ( ! [SY602: $i] :
                ( ~ ( cong @ SY602 @ SV13 @ SY602 @ SY599 )
                | ~ ( cong @ SY602 @ SV13 @ SY602 @ SY600 )
                | ~ ( cong @ SY602 @ SV13 @ SY602 @ SY601 ) )
            | ( cyclic @ SV13 @ SY599 @ SY600 @ SY601 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(427,plain,
    ! [SV14: $i] :
      ( ( ! [SY603: $i,SY604: $i,SY605: $i] :
            ( ~ ( cyclic @ SV14 @ SY603 @ SY604 @ SY605 )
            | ( cyclic @ SV14 @ SY603 @ SY605 @ SY604 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(428,plain,
    ! [SV15: $i] :
      ( ( ! [SY606: $i,SY607: $i,SY608: $i] :
            ( ~ ( cyclic @ SV15 @ SY606 @ SY607 @ SY608 )
            | ( cyclic @ SV15 @ SY607 @ SY606 @ SY608 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(429,plain,
    ! [SV16: $i] :
      ( ( ! [SY609: $i,SY610: $i,SY611: $i] :
            ( ~ ( cyclic @ SV16 @ SY609 @ SY610 @ SY611 )
            | ( cyclic @ SY609 @ SV16 @ SY610 @ SY611 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(430,plain,
    ! [SV17: $i] :
      ( ( ! [SY612: $i,SY613: $i,SY614: $i,SY615: $i] :
            ( ~ ( cyclic @ SV17 @ SY612 @ SY613 @ SY614 )
            | ~ ( cyclic @ SV17 @ SY612 @ SY613 @ SY615 )
            | ( cyclic @ SY612 @ SY613 @ SY614 @ SY615 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(431,plain,
    ! [SV18: $i] :
      ( ( ! [SY616: $i,SY617: $i,SY618: $i,SY619: $i,SY620: $i,SY621: $i,SY622: $i] :
            ( ~ ( eqangle @ SV18 @ SY616 @ SY617 @ SY618 @ SY619 @ SY620 @ SY621 @ SY622 )
            | ( eqangle @ SY616 @ SV18 @ SY617 @ SY618 @ SY619 @ SY620 @ SY621 @ SY622 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(432,plain,
    ! [SV19: $i] :
      ( ( ! [SY623: $i,SY624: $i,SY625: $i,SY626: $i,SY627: $i,SY628: $i,SY629: $i] :
            ( ~ ( eqangle @ SV19 @ SY623 @ SY624 @ SY625 @ SY626 @ SY627 @ SY628 @ SY629 )
            | ( eqangle @ SY624 @ SY625 @ SV19 @ SY623 @ SY628 @ SY629 @ SY626 @ SY627 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(433,plain,
    ! [SV20: $i] :
      ( ( ! [SY630: $i,SY631: $i,SY632: $i,SY633: $i,SY634: $i,SY635: $i,SY636: $i] :
            ( ~ ( eqangle @ SV20 @ SY630 @ SY631 @ SY632 @ SY633 @ SY634 @ SY635 @ SY636 )
            | ( eqangle @ SY633 @ SY634 @ SY635 @ SY636 @ SV20 @ SY630 @ SY631 @ SY632 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(434,plain,
    ! [SV21: $i] :
      ( ( ! [SY637: $i,SY638: $i,SY639: $i,SY640: $i,SY641: $i,SY642: $i,SY643: $i] :
            ( ~ ( eqangle @ SV21 @ SY637 @ SY638 @ SY639 @ SY640 @ SY641 @ SY642 @ SY643 )
            | ( eqangle @ SV21 @ SY637 @ SY640 @ SY641 @ SY638 @ SY639 @ SY642 @ SY643 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(435,plain,
    ! [SV22: $i] :
      ( ( ! [SY644: $i,SY645: $i,SY646: $i,SY647: $i,SY648: $i,SY649: $i,SY650: $i,SY651: $i,SY652: $i,SY653: $i,SY654: $i] :
            ( ~ ( eqangle @ SV22 @ SY644 @ SY645 @ SY646 @ SY647 @ SY648 @ SY649 @ SY650 )
            | ~ ( eqangle @ SY647 @ SY648 @ SY649 @ SY650 @ SY651 @ SY652 @ SY653 @ SY654 )
            | ( eqangle @ SV22 @ SY644 @ SY645 @ SY646 @ SY651 @ SY652 @ SY653 @ SY654 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(436,plain,
    ! [SV23: $i] :
      ( ( ! [SY655: $i,SY656: $i,SY657: $i] :
            ( ~ ( cong @ SV23 @ SY655 @ SY656 @ SY657 )
            | ( cong @ SV23 @ SY655 @ SY657 @ SY656 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(437,plain,
    ! [SV24: $i] :
      ( ( ! [SY658: $i,SY659: $i,SY660: $i] :
            ( ~ ( cong @ SV24 @ SY658 @ SY659 @ SY660 )
            | ( cong @ SY659 @ SY660 @ SV24 @ SY658 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(438,plain,
    ! [SV25: $i] :
      ( ( ! [SY661: $i,SY662: $i,SY663: $i,SY664: $i,SY665: $i] :
            ( ~ ( cong @ SV25 @ SY661 @ SY662 @ SY663 )
            | ~ ( cong @ SY662 @ SY663 @ SY664 @ SY665 )
            | ( cong @ SV25 @ SY661 @ SY664 @ SY665 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(439,plain,
    ! [SV26: $i] :
      ( ( ! [SY666: $i,SY667: $i,SY668: $i,SY669: $i,SY670: $i,SY671: $i,SY672: $i] :
            ( ~ ( eqratio @ SV26 @ SY666 @ SY667 @ SY668 @ SY669 @ SY670 @ SY671 @ SY672 )
            | ( eqratio @ SY666 @ SV26 @ SY667 @ SY668 @ SY669 @ SY670 @ SY671 @ SY672 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(440,plain,
    ! [SV27: $i] :
      ( ( ! [SY673: $i,SY674: $i,SY675: $i,SY676: $i,SY677: $i,SY678: $i,SY679: $i] :
            ( ~ ( eqratio @ SV27 @ SY673 @ SY674 @ SY675 @ SY676 @ SY677 @ SY678 @ SY679 )
            | ( eqratio @ SY674 @ SY675 @ SV27 @ SY673 @ SY678 @ SY679 @ SY676 @ SY677 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(441,plain,
    ! [SV28: $i] :
      ( ( ! [SY680: $i,SY681: $i,SY682: $i,SY683: $i,SY684: $i,SY685: $i,SY686: $i] :
            ( ~ ( eqratio @ SV28 @ SY680 @ SY681 @ SY682 @ SY683 @ SY684 @ SY685 @ SY686 )
            | ( eqratio @ SY683 @ SY684 @ SY685 @ SY686 @ SV28 @ SY680 @ SY681 @ SY682 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(442,plain,
    ! [SV29: $i] :
      ( ( ! [SY687: $i,SY688: $i,SY689: $i,SY690: $i,SY691: $i,SY692: $i,SY693: $i] :
            ( ~ ( eqratio @ SV29 @ SY687 @ SY688 @ SY689 @ SY690 @ SY691 @ SY692 @ SY693 )
            | ( eqratio @ SV29 @ SY687 @ SY690 @ SY691 @ SY688 @ SY689 @ SY692 @ SY693 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(443,plain,
    ! [SV30: $i] :
      ( ( ! [SY694: $i,SY695: $i,SY696: $i,SY697: $i,SY698: $i,SY699: $i,SY700: $i,SY701: $i,SY702: $i] :
            ( ! [SY703: $i,SY704: $i] :
                ( ~ ( eqratio @ SV30 @ SY694 @ SY695 @ SY696 @ SY701 @ SY702 @ SY703 @ SY704 )
                | ~ ( eqratio @ SY701 @ SY702 @ SY703 @ SY704 @ SY697 @ SY698 @ SY699 @ SY700 ) )
            | ( eqratio @ SV30 @ SY694 @ SY695 @ SY696 @ SY697 @ SY698 @ SY699 @ SY700 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(444,plain,
    ! [SV31: $i] :
      ( ( ! [SY705: $i,SY706: $i,SY707: $i,SY708: $i,SY709: $i] :
            ( ~ ( simtri @ SV31 @ SY706 @ SY705 @ SY707 @ SY709 @ SY708 )
            | ( simtri @ SV31 @ SY705 @ SY706 @ SY707 @ SY708 @ SY709 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(445,plain,
    ! [SV32: $i] :
      ( ( ! [SY710: $i,SY711: $i,SY712: $i,SY713: $i,SY714: $i] :
            ( ~ ( simtri @ SY710 @ SV32 @ SY711 @ SY713 @ SY712 @ SY714 )
            | ( simtri @ SV32 @ SY710 @ SY711 @ SY712 @ SY713 @ SY714 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(446,plain,
    ! [SV33: $i] :
      ( ( ! [SY715: $i,SY716: $i,SY717: $i,SY718: $i,SY719: $i] :
            ( ~ ( simtri @ SY717 @ SY718 @ SY719 @ SV33 @ SY715 @ SY716 )
            | ( simtri @ SV33 @ SY715 @ SY716 @ SY717 @ SY718 @ SY719 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(447,plain,
    ! [SV34: $i] :
      ( ( ! [SY720: $i,SY721: $i,SY722: $i,SY723: $i,SY724: $i,SY725: $i,SY726: $i,SY727: $i] :
            ( ~ ( simtri @ SV34 @ SY720 @ SY721 @ SY722 @ SY723 @ SY724 )
            | ~ ( simtri @ SY722 @ SY723 @ SY724 @ SY725 @ SY726 @ SY727 )
            | ( simtri @ SV34 @ SY720 @ SY721 @ SY725 @ SY726 @ SY727 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(448,plain,
    ! [SV35: $i] :
      ( ( ! [SY728: $i,SY729: $i,SY730: $i,SY731: $i,SY732: $i] :
            ( ~ ( contri @ SV35 @ SY729 @ SY728 @ SY730 @ SY732 @ SY731 )
            | ( contri @ SV35 @ SY728 @ SY729 @ SY730 @ SY731 @ SY732 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(449,plain,
    ! [SV36: $i] :
      ( ( ! [SY733: $i,SY734: $i,SY735: $i,SY736: $i,SY737: $i] :
            ( ~ ( contri @ SY733 @ SV36 @ SY734 @ SY736 @ SY735 @ SY737 )
            | ( contri @ SV36 @ SY733 @ SY734 @ SY735 @ SY736 @ SY737 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(450,plain,
    ! [SV37: $i] :
      ( ( ! [SY738: $i,SY739: $i,SY740: $i,SY741: $i,SY742: $i] :
            ( ~ ( contri @ SY740 @ SY741 @ SY742 @ SV37 @ SY738 @ SY739 )
            | ( contri @ SV37 @ SY738 @ SY739 @ SY740 @ SY741 @ SY742 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(451,plain,
    ! [SV38: $i] :
      ( ( ! [SY743: $i,SY744: $i,SY745: $i,SY746: $i,SY747: $i,SY748: $i,SY749: $i,SY750: $i] :
            ( ~ ( contri @ SV38 @ SY743 @ SY744 @ SY745 @ SY746 @ SY747 )
            | ~ ( contri @ SY745 @ SY746 @ SY747 @ SY748 @ SY749 @ SY750 )
            | ( contri @ SV38 @ SY743 @ SY744 @ SY748 @ SY749 @ SY750 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(452,plain,
    ! [SV39: $i] :
      ( ( ! [SY751: $i,SY752: $i,SY753: $i] :
            ( ! [SY754: $i,SY755: $i] :
                ~ ( eqangle @ SV39 @ SY751 @ SY754 @ SY755 @ SY752 @ SY753 @ SY754 @ SY755 )
            | ( para @ SV39 @ SY751 @ SY752 @ SY753 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(453,plain,
    ! [SV40: $i] :
      ( ( ! [SY756: $i,SY757: $i,SY758: $i] :
            ( ~ ( para @ SV40 @ SY756 @ SY757 @ SY758 )
            | ! [SY759: $i,SY760: $i] : ( eqangle @ SV40 @ SY756 @ SY759 @ SY760 @ SY757 @ SY758 @ SY759 @ SY760 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(454,plain,
    ! [SV41: $i] :
      ( ( ! [SY761: $i,SY762: $i,SY763: $i] :
            ( ~ ( cyclic @ SV41 @ SY761 @ SY762 @ SY763 )
            | ( eqangle @ SY762 @ SV41 @ SY762 @ SY761 @ SY763 @ SV41 @ SY763 @ SY761 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(455,plain,
    ! [SV42: $i] :
      ( ( ! [SY764: $i,SY765: $i,SY766: $i] :
            ( ~ ( eqangle @ SY765 @ SV42 @ SY765 @ SY764 @ SY766 @ SV42 @ SY766 @ SY764 )
            | ( coll @ SY765 @ SY766 @ SV42 )
            | ( cyclic @ SV42 @ SY764 @ SY765 @ SY766 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(456,plain,
    ! [SV43: $i] :
      ( ( ! [SY767: $i,SY768: $i,SY769: $i] :
            ( ~ ( coll @ SY768 @ SY769 @ SY767 )
            | ~ ( eqangle @ SY768 @ SV43 @ SY768 @ SY767 @ SY769 @ SV43 @ SY769 @ SY767 )
            | ( cyclic @ SV43 @ SY767 @ SY768 @ SY769 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(457,plain,
    ! [SV44: $i] :
      ( ( ! [SY770: $i,SY771: $i,SY772: $i,SY773: $i] :
            ( ! [SY774: $i] :
                ( ~ ( cyclic @ SV44 @ SY770 @ SY771 @ SY772 )
                | ~ ( cyclic @ SV44 @ SY770 @ SY771 @ SY773 )
                | ~ ( cyclic @ SV44 @ SY770 @ SY771 @ SY774 )
                | ~ ( eqangle @ SY771 @ SV44 @ SY771 @ SY770 @ SY774 @ SY772 @ SY774 @ SY773 ) )
            | ( cong @ SV44 @ SY770 @ SY772 @ SY773 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(458,plain,
    ! [SV45: $i] :
      ( ( ! [SY775: $i,SY776: $i,SY777: $i,SY778: $i] :
            ( ~ ( midp @ SY777 @ SV45 @ SY775 )
            | ~ ( midp @ SY778 @ SV45 @ SY776 )
            | ( para @ SY777 @ SY778 @ SY775 @ SY776 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(459,plain,
    ! [SV46: $i] :
      ( ( ! [SY779: $i,SY780: $i,SY781: $i,SY782: $i] :
            ( ~ ( midp @ SY781 @ SV46 @ SY779 )
            | ~ ( para @ SY781 @ SY782 @ SY779 @ SY780 )
            | ~ ( coll @ SY782 @ SV46 @ SY780 )
            | ( midp @ SY782 @ SV46 @ SY780 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(460,plain,
    ! [SV47: $i] :
      ( ( ! [SY783: $i,SY784: $i] :
            ( ~ ( cong @ SY784 @ SV47 @ SY784 @ SY783 )
            | ( eqangle @ SY784 @ SV47 @ SV47 @ SY783 @ SV47 @ SY783 @ SY784 @ SY783 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(461,plain,
    ! [SV48: $i] :
      ( ( ! [SY785: $i,SY786: $i] :
            ( ~ ( eqangle @ SY786 @ SV48 @ SV48 @ SY785 @ SV48 @ SY785 @ SY786 @ SY785 )
            | ( coll @ SY786 @ SV48 @ SY785 )
            | ( cong @ SY786 @ SV48 @ SY786 @ SY785 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(462,plain,
    ! [SV49: $i] :
      ( ( ! [SY787: $i,SY788: $i,SY789: $i,SY790: $i] :
            ( ~ ( circle @ SY789 @ SV49 @ SY787 @ SY788 )
            | ~ ( perp @ SY789 @ SV49 @ SV49 @ SY790 )
            | ( eqangle @ SV49 @ SY790 @ SV49 @ SY787 @ SY788 @ SV49 @ SY788 @ SY787 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(463,plain,
    ! [SV50: $i] :
      ( ( ! [SY791: $i,SY792: $i,SY793: $i,SY794: $i] :
            ( ~ ( circle @ SY793 @ SV50 @ SY791 @ SY792 )
            | ~ ( eqangle @ SV50 @ SY794 @ SV50 @ SY791 @ SY792 @ SV50 @ SY792 @ SY791 )
            | ( perp @ SY793 @ SV50 @ SV50 @ SY794 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(464,plain,
    ! [SV51: $i] :
      ( ( ! [SY795: $i,SY796: $i,SY797: $i,SY798: $i] :
            ( ~ ( circle @ SY797 @ SV51 @ SY795 @ SY796 )
            | ~ ( midp @ SY798 @ SY795 @ SY796 )
            | ( eqangle @ SV51 @ SY795 @ SV51 @ SY796 @ SY797 @ SY795 @ SY797 @ SY798 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(465,plain,
    ! [SV52: $i] :
      ( ( ! [SY799: $i,SY800: $i,SY801: $i,SY802: $i] :
            ( ~ ( circle @ SY801 @ SV52 @ SY799 @ SY800 )
            | ~ ( coll @ SY802 @ SY799 @ SY800 )
            | ~ ( eqangle @ SV52 @ SY799 @ SV52 @ SY800 @ SY801 @ SY799 @ SY801 @ SY802 )
            | ( midp @ SY802 @ SY799 @ SY800 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(466,plain,
    ! [SV53: $i] :
      ( ( ! [SY803: $i,SY804: $i,SY805: $i] :
            ( ~ ( midp @ SY805 @ SV53 @ SY804 )
            | ~ ( perp @ SV53 @ SY803 @ SY803 @ SY804 )
            | ( cong @ SV53 @ SY805 @ SY803 @ SY805 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(467,plain,
    ! [SV54: $i] :
      ( ( ! [SY806: $i,SY807: $i] :
            ( ! [SY808: $i] :
                ( ~ ( circle @ SY808 @ SV54 @ SY806 @ SY807 )
                | ~ ( coll @ SY808 @ SV54 @ SY807 ) )
            | ( perp @ SV54 @ SY806 @ SY806 @ SY807 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(468,plain,
    ! [SV55: $i] :
      ( ( ! [SY809: $i,SY810: $i,SY811: $i] :
            ( ~ ( cyclic @ SV55 @ SY809 @ SY810 @ SY811 )
            | ~ ( para @ SV55 @ SY809 @ SY810 @ SY811 )
            | ( eqangle @ SV55 @ SY811 @ SY810 @ SY811 @ SY810 @ SY811 @ SY810 @ SY809 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(469,plain,
    ! [SV56: $i] :
      ( ( ! [SY812: $i,SY813: $i,SY814: $i] :
            ( ~ ( midp @ SY813 @ SV56 @ SY812 )
            | ~ ( perp @ SY814 @ SY813 @ SV56 @ SY812 )
            | ( cong @ SY814 @ SV56 @ SY814 @ SY812 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(470,plain,
    ! [SV57: $i] :
      ( ( ! [SY815: $i,SY816: $i,SY817: $i] :
            ( ~ ( cong @ SV57 @ SY816 @ SY815 @ SY816 )
            | ~ ( cong @ SV57 @ SY817 @ SY815 @ SY817 )
            | ( perp @ SV57 @ SY815 @ SY816 @ SY817 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(471,plain,
    ! [SV58: $i] :
      ( ( ! [SY818: $i,SY819: $i,SY820: $i] :
            ( ~ ( cong @ SV58 @ SY819 @ SY818 @ SY819 )
            | ~ ( cong @ SV58 @ SY820 @ SY818 @ SY820 )
            | ~ ( cyclic @ SV58 @ SY818 @ SY819 @ SY820 )
            | ( perp @ SY819 @ SV58 @ SV58 @ SY820 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(472,plain,
    ! [SV59: $i] :
      ( ( ! [SY821: $i,SY822: $i,SY823: $i,SY824: $i,SY825: $i] :
            ( ~ ( eqangle @ SV59 @ SY821 @ SY821 @ SY822 @ SY823 @ SY824 @ SY824 @ SY825 )
            | ~ ( eqangle @ SV59 @ SY822 @ SY821 @ SY822 @ SY823 @ SY825 @ SY824 @ SY825 )
            | ( coll @ SV59 @ SY821 @ SY822 )
            | ( simtri @ SV59 @ SY821 @ SY822 @ SY823 @ SY824 @ SY825 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(473,plain,
    ! [SV60: $i] :
      ( ( ! [SY826: $i,SY827: $i,SY828: $i,SY829: $i,SY830: $i] :
            ( ~ ( simtri @ SV60 @ SY826 @ SY827 @ SY828 @ SY829 @ SY830 )
            | ( eqratio @ SV60 @ SY826 @ SV60 @ SY827 @ SY828 @ SY829 @ SY828 @ SY830 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(474,plain,
    ! [SV61: $i] :
      ( ( ! [SY831: $i,SY832: $i,SY833: $i,SY834: $i,SY835: $i] :
            ( ~ ( simtri @ SV61 @ SY831 @ SY832 @ SY833 @ SY834 @ SY835 )
            | ( eqangle @ SV61 @ SY831 @ SY831 @ SY832 @ SY833 @ SY834 @ SY834 @ SY835 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(475,plain,
    ! [SV62: $i] :
      ( ( ! [SY836: $i,SY837: $i,SY838: $i,SY839: $i,SY840: $i] :
            ( ~ ( cong @ SV62 @ SY836 @ SY838 @ SY839 )
            | ~ ( simtri @ SV62 @ SY836 @ SY837 @ SY838 @ SY839 @ SY840 )
            | ( contri @ SV62 @ SY836 @ SY837 @ SY838 @ SY839 @ SY840 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(476,plain,
    ! [SV63: $i] :
      ( ( ! [SY841: $i,SY842: $i,SY843: $i,SY844: $i] :
            ( ! [SY845: $i] :
                ~ ( contri @ SV63 @ SY841 @ SY842 @ SY843 @ SY844 @ SY845 )
            | ( cong @ SV63 @ SY841 @ SY843 @ SY844 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(477,plain,
    ! [SV64: $i] :
      ( ( ! [SY846: $i,SY847: $i,SY848: $i] :
            ( ! [SY849: $i] :
                ( ~ ( midp @ SY849 @ SV64 @ SY846 )
                | ~ ( midp @ SY849 @ SY847 @ SY848 ) )
            | ( para @ SV64 @ SY847 @ SY846 @ SY848 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(478,plain,
    ! [SV65: $i] :
      ( ( ! [SY850: $i,SY851: $i,SY852: $i,SY853: $i] :
            ( ~ ( midp @ SY853 @ SV65 @ SY850 )
            | ~ ( para @ SV65 @ SY851 @ SY850 @ SY852 )
            | ~ ( para @ SV65 @ SY852 @ SY850 @ SY851 )
            | ( midp @ SY853 @ SY851 @ SY852 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(479,plain,
    ! [SV66: $i] :
      ( ( ! [SY854: $i,SY855: $i,SY856: $i,SY857: $i] :
            ( ~ ( coll @ SY857 @ SV66 @ SY855 )
            | ~ ( para @ SV66 @ SY854 @ SY855 @ SY856 )
            | ~ ( coll @ SY857 @ SY854 @ SY856 )
            | ( eqratio @ SY857 @ SV66 @ SV66 @ SY855 @ SY857 @ SY854 @ SY854 @ SY856 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(480,plain,
    ! [SV67: $i] :
      ( ( ! [SY858: $i,SY859: $i] :
            ( ~ ( para @ SV67 @ SY858 @ SV67 @ SY859 )
            | ( coll @ SV67 @ SY858 @ SY859 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(481,plain,
    ! [SV68: $i] :
      ( ( ! [SY860: $i,SY861: $i] :
            ( ~ ( coll @ SV68 @ SY860 @ SY861 )
            | ~ ( cong @ SV68 @ SY860 @ SV68 @ SY861 )
            | ( midp @ SV68 @ SY860 @ SY861 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(482,plain,
    ! [SV69: $i] :
      ( ( ! [SY862: $i,SY863: $i] :
            ( ~ ( midp @ SV69 @ SY862 @ SY863 )
            | ( cong @ SV69 @ SY862 @ SV69 @ SY863 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(483,plain,
    ! [SV70: $i] :
      ( ( ! [SY864: $i,SY865: $i] :
            ( ~ ( midp @ SV70 @ SY864 @ SY865 )
            | ( coll @ SV70 @ SY864 @ SY865 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(484,plain,
    ! [SV71: $i] :
      ( ( ! [SY866: $i,SY867: $i,SY868: $i,SY869: $i,SY870: $i] :
            ( ~ ( midp @ SY869 @ SV71 @ SY866 )
            | ~ ( midp @ SY870 @ SY867 @ SY868 )
            | ( eqratio @ SY869 @ SV71 @ SV71 @ SY866 @ SY870 @ SY867 @ SY867 @ SY868 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(485,plain,
    ! [SV72: $i] :
      ( ( ! [SY871: $i,SY872: $i,SY873: $i] :
            ( ~ ( eqangle @ SV72 @ SY871 @ SY872 @ SY873 @ SY872 @ SY873 @ SV72 @ SY871 )
            | ( para @ SV72 @ SY871 @ SY872 @ SY873 )
            | ( perp @ SV72 @ SY871 @ SY872 @ SY873 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[372]) ).

thf(486,plain,
    ! [SV73: $i] :
      ( ( ! [SY874: $i,SY875: $i,SY876: $i] :
            ( ~ ( eqangle @ SV73 @ SY874 @ SY875 @ SY876 @ SY875 @ SY876 @ SV73 @ SY874 )
            | ( perp @ SV73 @ SY874 @ SY875 @ SY876 )
            | ( para @ SV73 @ SY874 @ SY875 @ SY876 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(487,plain,
    ! [SV74: $i] :
      ( ( ! [SY877: $i,SY878: $i,SY879: $i,SY880: $i,SY881: $i] :
            ( ! [SY882: $i,SY883: $i] :
                ( ~ ( eqangle @ SV74 @ SY877 @ SY878 @ SY879 @ SY880 @ SY881 @ SY882 @ SY883 )
                | ~ ( para @ SY880 @ SY881 @ SY882 @ SY883 ) )
            | ( para @ SV74 @ SY877 @ SY878 @ SY879 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(488,plain,
    ! [SV75: $i] :
      ( ( ! [SY884: $i,SY885: $i,SY886: $i,SY887: $i,SY888: $i] :
            ( ! [SY889: $i,SY890: $i] :
                ( ~ ( eqangle @ SV75 @ SY884 @ SY885 @ SY886 @ SY887 @ SY888 @ SY889 @ SY890 )
                | ~ ( perp @ SY887 @ SY888 @ SY889 @ SY890 ) )
            | ( perp @ SV75 @ SY884 @ SY885 @ SY886 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(489,plain,
    ! [SV76: $i] :
      ( ( ! [SY891: $i,SY892: $i,SY893: $i,SY894: $i,SY895: $i] :
            ( ! [SY896: $i,SY897: $i] :
                ( ~ ( cong @ SY894 @ SY895 @ SY896 @ SY897 )
                | ~ ( eqratio @ SV76 @ SY891 @ SY892 @ SY893 @ SY894 @ SY895 @ SY896 @ SY897 ) )
            | ( cong @ SV76 @ SY891 @ SY892 @ SY893 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(490,plain,
    ! [SV77: $i] :
      ( ( ! [SY898: $i,SY899: $i,SY900: $i,SY901: $i,SY902: $i] :
            ( ~ ( midp @ SY901 @ SV77 @ SY898 )
            | ~ ( midp @ SY902 @ SY899 @ SY900 )
            | ~ ( coll @ SY899 @ SV77 @ SY898 )
            | ~ ( coll @ SY900 @ SV77 @ SY898 )
            | ! [SY903: $i] : ( midp @ ( sK22_P @ SY903 @ SY902 @ SY901 @ SY900 @ SY899 @ SY898 @ SV77 ) @ SV77 @ SY903 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[383]) ).

thf(491,plain,
    ! [SV78: $i] :
      ( ( ! [SY904: $i,SY905: $i,SY906: $i] :
            ( ~ ( circle @ SY906 @ SV78 @ SY904 @ SY905 )
            | ( perp @ ( sK17_P @ SY906 @ SY905 @ SY904 @ SV78 ) @ SV78 @ SV78 @ SY906 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[387]) ).

thf(492,plain,
    ! [SV79: $i] :
      ( ( ! [SY907: $i,SY908: $i,SY909: $i] :
            ( ~ ( cyclic @ SV79 @ SY907 @ SY908 @ SY909 )
            | ~ ( para @ SV79 @ SY907 @ SY908 @ SY909 )
            | ! [SY910: $i] :
                ~ ( midp @ SY910 @ SV79 @ SY907 )
            | ( circle @ ( sK14_O @ SY909 @ SY908 @ SY907 @ SV79 ) @ SV79 @ SY907 @ SY908 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(493,plain,
    ! [SV80: $i] :
      ( ( ! [SY911: $i,SY912: $i] :
            ( ! [SY913: $i] :
                ~ ( cyclic @ SV80 @ SY911 @ SY912 @ SY913 )
            | ~ ( perp @ SV80 @ SY912 @ SY912 @ SY911 )
            | ( circle @ ( sK13_O @ SY912 @ SY911 @ SV80 ) @ SV80 @ SY911 @ SY912 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[390]) ).

thf(494,plain,
    ! [SV81: $i] :
      ( ( ! [SY914: $i,SY915: $i,SY916: $i] :
            ( ~ ( perp @ SV81 @ SY914 @ SV81 @ SY915 )
            | ~ ( perp @ SY915 @ SV81 @ SY915 @ SY916 )
            | ! [M: $i] :
                ~ ( midp @ M @ SY914 @ SY916 )
            | ( midp @ ( sK11_P @ SY916 @ SY915 @ SY914 @ SV81 ) @ SV81 @ SY915 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(495,plain,
    ( ( para @ sK2_SY530 @ sK6_SY552 @ sK1_A @ sK3_SY537 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[400]) ).

thf(496,plain,
    ! [SV82: $i] :
      ( ( ! [SY918: $i,SY919: $i] :
            ~ ( ~ ( ~ ( cong @ SY919 @ SV82 @ SY919 @ SY918 )
                  | ~ ( perp @ SV82 @ SY919 @ SY919 @ SY918 )
                  | ( coll @ SV82 @ SY919 @ ( sK10_C @ SY919 @ SY918 @ SV82 ) ) )
              | ~ ( ~ ( cong @ SY919 @ SV82 @ SY919 @ SY918 )
                  | ~ ( perp @ SV82 @ SY919 @ SY919 @ SY918 )
                  | ( cong @ SY919 @ SV82 @ SY919 @ ( sK10_C @ SY919 @ SY918 @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(497,plain,
    ! [SV83: $i] :
      ( ( ! [SY920: $i,SY921: $i,SY922: $i,SY923: $i,SY924: $i] :
            ~ ( ~ ( ~ ( coll @ SY923 @ SV83 @ SY921 )
                  | ~ ( para @ SV83 @ SY920 @ SY921 @ SY922 )
                  | ~ ( coll @ SY923 @ SY920 @ SY922 )
                  | ~ ( coll @ SY924 @ SV83 @ SY920 )
                  | ( coll @ SY923 @ SY924 @ ( sK9_R @ SY924 @ SY923 @ SY922 @ SY921 @ SY920 @ SV83 ) ) )
              | ~ ( ~ ( coll @ SY923 @ SV83 @ SY921 )
                  | ~ ( para @ SV83 @ SY920 @ SY921 @ SY922 )
                  | ~ ( coll @ SY923 @ SY920 @ SY922 )
                  | ~ ( coll @ SY924 @ SV83 @ SY920 )
                  | ( coll @ ( sK9_R @ SY924 @ SY923 @ SY922 @ SY921 @ SY920 @ SV83 ) @ SY921 @ SY922 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(498,plain,
    ! [SV84: $i] :
      ( ( ! [SY925: $i,SY926: $i,SY927: $i] :
            ~ ( ~ ( ~ ( eqangle @ SV84 @ SY926 @ SY926 @ SY927 @ SY926 @ SY927 @ SY926 @ SY925 )
                  | ~ ( perp @ SY926 @ SY927 @ SV84 @ SY925 )
                  | ( coll @ SY925 @ SV84 @ ( sK26_M @ SY927 @ SY926 @ SY925 @ SV84 ) ) )
              | ~ ( ~ ( eqangle @ SV84 @ SY926 @ SY926 @ SY927 @ SY926 @ SY927 @ SY926 @ SY925 )
                  | ~ ( perp @ SY926 @ SY927 @ SV84 @ SY925 )
                  | ( coll @ ( sK26_M @ SY927 @ SY926 @ SY925 @ SV84 ) @ SY926 @ SY927 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(499,plain,
    ! [SV85: $i] :
      ( ( ! [SY928: $i,SY929: $i,SY930: $i,SY931: $i,SY932: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( midp @ SY931 @ SV85 @ SY928 )
                        | ~ ( midp @ SY932 @ SY929 @ SY930 )
                        | ( midp @ ( sK23_P @ SY932 @ SY931 @ SY930 @ SY929 @ SY928 @ SV85 ) @ SV85 @ SY930 ) )
                    | ~ ( ~ ( midp @ SY931 @ SV85 @ SY928 )
                        | ~ ( midp @ SY932 @ SY929 @ SY930 )
                        | ( para @ ( sK23_P @ SY932 @ SY931 @ SY930 @ SY929 @ SY928 @ SV85 ) @ SY931 @ SY928 @ SY930 ) ) )
              | ~ ( ~ ( midp @ SY931 @ SV85 @ SY928 )
                  | ~ ( midp @ SY932 @ SY929 @ SY930 )
                  | ( para @ ( sK23_P @ SY932 @ SY931 @ SY930 @ SY929 @ SY928 @ SV85 ) @ SY932 @ SV85 @ SY929 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(500,plain,
    ! [SV86: $i] :
      ( ( ! [SY933: $i,SY934: $i,SY935: $i] :
            ~ ( ~ ( ~ ( cong @ SY934 @ SV86 @ SY934 @ SY933 )
                  | ~ ( eqangle @ SV86 @ SY934 @ SY934 @ SY935 @ SY934 @ SY935 @ SY934 @ SY933 )
                  | ( coll @ SY933 @ SV86 @ ( sK27_M @ SY935 @ SY934 @ SY933 @ SV86 ) ) )
              | ~ ( ~ ( cong @ SY934 @ SV86 @ SY934 @ SY933 )
                  | ~ ( eqangle @ SV86 @ SY934 @ SY934 @ SY935 @ SY934 @ SY935 @ SY934 @ SY933 )
                  | ( coll @ ( sK27_M @ SY935 @ SY934 @ SY933 @ SV86 ) @ SY934 @ SY935 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[405]) ).

thf(501,plain,
    ! [SV87: $i] :
      ( ( ! [SY936: $i,SY937: $i,SY938: $i] :
            ~ ( ~ ( ~ ( cong @ SY937 @ SV87 @ SY937 @ SY936 )
                  | ~ ( perp @ SY937 @ SY938 @ SV87 @ SY936 )
                  | ( coll @ SY936 @ SV87 @ ( sK25_M @ SY938 @ SY937 @ SY936 @ SV87 ) ) )
              | ~ ( ~ ( cong @ SY937 @ SV87 @ SY937 @ SY936 )
                  | ~ ( perp @ SY937 @ SY938 @ SV87 @ SY936 )
                  | ( coll @ ( sK25_M @ SY938 @ SY937 @ SY936 @ SV87 ) @ SY937 @ SY938 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[406]) ).

thf(502,plain,
    ! [SV88: $i] :
      ( ( ! [SY939: $i,SY940: $i,SY941: $i,SY942: $i,SY943: $i] :
            ~ ( ~ ( ~ ( midp @ SY943 @ SV88 @ SY939 )
                  | ~ ( para @ SV88 @ SY940 @ SY942 @ SY943 )
                  | ~ ( para @ SV88 @ SY940 @ SY939 @ SY941 )
                  | ~ ( coll @ SY940 @ SY941 @ SY942 )
                  | ( coll @ ( sK21_X @ SY943 @ SY942 @ SY941 @ SY940 @ SY939 @ SV88 ) @ SV88 @ SY941 ) )
              | ~ ( ~ ( midp @ SY943 @ SV88 @ SY939 )
                  | ~ ( para @ SV88 @ SY940 @ SY942 @ SY943 )
                  | ~ ( para @ SV88 @ SY940 @ SY939 @ SY941 )
                  | ~ ( coll @ SY940 @ SY941 @ SY942 )
                  | ( coll @ ( sK21_X @ SY943 @ SY942 @ SY941 @ SY940 @ SY939 @ SV88 ) @ SY943 @ SY942 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[407]) ).

thf(503,plain,
    ! [SV89: $i] :
      ( ( ! [SY944: $i,SY945: $i,SY946: $i,SY947: $i,SY948: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY947 = SY948 )
                              | ~ ( circle @ SY947 @ SV89 @ SY944 @ SY945 )
                              | ~ ( cong @ SY947 @ SV89 @ SY947 @ SY946 )
                              | ~ ( cong @ SY948 @ SV89 @ SY948 @ SY944 )
                              | ( coll @ ( sK15_P @ SY948 @ SY947 @ SY946 @ SY945 @ SY944 @ SV89 ) @ SV89 @ SY945 ) )
                          | ~ ( ( SY947 = SY948 )
                              | ~ ( circle @ SY947 @ SV89 @ SY944 @ SY945 )
                              | ~ ( cong @ SY947 @ SV89 @ SY947 @ SY946 )
                              | ~ ( cong @ SY948 @ SV89 @ SY948 @ SY944 )
                              | ( cong @ ( sK15_P @ SY948 @ SY947 @ SY946 @ SY945 @ SY944 @ SV89 ) @ SY948 @ SY948 @ SV89 ) ) )
                    | ~ ( ( SY947 = SY948 )
                        | ~ ( circle @ SY947 @ SV89 @ SY944 @ SY945 )
                        | ~ ( cong @ SY947 @ SV89 @ SY947 @ SY946 )
                        | ~ ( cong @ SY948 @ SV89 @ SY948 @ SY944 )
                        | ( coll @ ( sK16_SY558 @ SY948 @ SY947 @ SY946 @ SY945 @ SY944 @ SV89 ) @ SY944 @ SY946 ) ) )
              | ~ ( ( SY947 = SY948 )
                  | ~ ( circle @ SY947 @ SV89 @ SY944 @ SY945 )
                  | ~ ( cong @ SY947 @ SV89 @ SY947 @ SY946 )
                  | ~ ( cong @ SY948 @ SV89 @ SY948 @ SY944 )
                  | ( cong @ ( sK16_SY558 @ SY948 @ SY947 @ SY946 @ SY945 @ SY944 @ SV89 ) @ SY948 @ SY948 @ SV89 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(504,plain,
    ! [SV90: $i] :
      ( ( ! [SY949: $i,SY950: $i,SY951: $i,SY952: $i] :
            ~ ( ~ ( ~ ( eqangle @ SV90 @ SY950 @ SY949 @ SY950 @ SV90 @ SY951 @ SY949 @ SY952 )
                  | ( coll @ SV90 @ SY949 @ SY950 )
                  | ( cyclic @ SY951 @ SY949 @ SY950 @ ( sK24_Q @ SY952 @ SY951 @ SY950 @ SY949 @ SV90 ) ) )
              | ~ ( ~ ( eqangle @ SV90 @ SY950 @ SY949 @ SY950 @ SV90 @ SY951 @ SY949 @ SY952 )
                  | ( coll @ SV90 @ SY949 @ SY950 )
                  | ( eqangle @ SV90 @ SY950 @ SY949 @ SY950 @ SV90 @ ( sK24_Q @ SY952 @ SY951 @ SY950 @ SY949 @ SV90 ) @ SY949 @ ( sK24_Q @ SY952 @ SY951 @ SY950 @ SY949 @ SV90 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[409]) ).

thf(505,plain,
    ! [SV91: $i] :
      ( ( ! [SY953: $i,SY954: $i,SY955: $i,SY956: $i] :
            ~ ( ~ ( ~ ( coll @ SY953 @ SY955 @ SY956 )
                  | ~ ( perp @ SV91 @ SY954 @ SY954 @ SY953 )
                  | ( coll @ ( sK12_P @ SY956 @ SY955 @ SY954 @ SY953 @ SV91 ) @ SY955 @ SY956 ) )
              | ~ ( ~ ( coll @ SY953 @ SY955 @ SY956 )
                  | ~ ( perp @ SV91 @ SY954 @ SY954 @ SY953 )
                  | ( perp @ ( sK12_P @ SY956 @ SY955 @ SY954 @ SY953 @ SV91 ) @ SV91 @ SY955 @ SY956 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(506,plain,
    ! [SV92: $i] :
      ( ( ! [SY957: $i,SY958: $i,SY959: $i] :
            ~ ( ~ ( ~ ( eqangle @ SY959 @ SY958 @ SY957 @ SY958 @ SY957 @ SY958 @ SV92 @ SY958 )
                  | ~ ( perp @ SY958 @ SY957 @ SY957 @ SV92 )
                  | ( coll @ ( sK28_B @ SY959 @ SY958 @ SY957 @ SV92 ) @ SV92 @ SY957 ) )
              | ~ ( ~ ( eqangle @ SY959 @ SY958 @ SY957 @ SY958 @ SY957 @ SY958 @ SV92 @ SY958 )
                  | ~ ( perp @ SY958 @ SY957 @ SY957 @ SV92 )
                  | ( coll @ ( sK28_B @ SY959 @ SY958 @ SY957 @ SV92 ) @ SY958 @ SY959 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[411]) ).

thf(507,plain,
    ! [SV93: $i] :
      ( ( ! [SY960: $i,SY961: $i,SY962: $i,SY963: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( cong @ SY963 @ SY961 @ SY963 @ SY962 )
                        | ~ ( perp @ SV93 @ SY960 @ SY960 @ SY963 )
                        | ( cong @ SY963 @ SY961 @ SY963 @ ( sK20_P @ SY963 @ SY962 @ SY961 @ SY960 @ SV93 ) ) )
                    | ~ ( ~ ( cong @ SY963 @ SY961 @ SY963 @ SY962 )
                        | ~ ( perp @ SV93 @ SY960 @ SY960 @ SY963 )
                        | ( para @ ( sK20_P @ SY963 @ SY962 @ SY961 @ SY960 @ SV93 ) @ SY961 @ SV93 @ SY960 ) ) )
              | ~ ( ~ ( cong @ SY963 @ SY961 @ SY963 @ SY962 )
                  | ~ ( perp @ SV93 @ SY960 @ SY960 @ SY963 )
                  | ( cong @ SY960 @ SY961 @ SY960 @ ( sK20_P @ SY963 @ SY962 @ SY961 @ SY960 @ SV93 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[412]) ).

thf(508,plain,
    ! [SV94: $i] :
      ( ( ! [SY964: $i,SY965: $i,SY966: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SY966 @ SY964 @ SY965 )
                              | ~ ( perp @ SY964 @ SY966 @ SV94 @ SY965 )
                              | ( coll @ ( sK18_P @ SY966 @ SY965 @ SY964 @ SV94 ) @ SY965 @ SY964 ) )
                          | ~ ( ~ ( perp @ SV94 @ SY966 @ SY964 @ SY965 )
                              | ~ ( perp @ SY964 @ SY966 @ SV94 @ SY965 )
                              | ( perp @ SV94 @ ( sK18_P @ SY966 @ SY965 @ SY964 @ SV94 ) @ SY965 @ SY964 ) ) )
                    | ~ ( ~ ( perp @ SV94 @ SY966 @ SY964 @ SY965 )
                        | ~ ( perp @ SY964 @ SY966 @ SV94 @ SY965 )
                        | ( coll @ ( sK19_SY559 @ SY966 @ SY965 @ SY964 @ SV94 ) @ SY965 @ SV94 ) ) )
              | ~ ( ~ ( perp @ SV94 @ SY966 @ SY964 @ SY965 )
                  | ~ ( perp @ SY964 @ SY966 @ SV94 @ SY965 )
                  | ( perp @ SY964 @ ( sK19_SY559 @ SY966 @ SY965 @ SY964 @ SV94 ) @ SY965 @ SV94 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[413]) ).

thf(509,plain,
    ! [SV95: $i,SV1: $i] :
      ( ( ! [SY967: $i] :
            ( ~ ( coll @ SV1 @ SV95 @ SY967 )
            | ( coll @ SV1 @ SY967 @ SV95 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[414]) ).

thf(510,plain,
    ! [SV96: $i,SV2: $i] :
      ( ( ! [SY968: $i] :
            ( ~ ( coll @ SV2 @ SV96 @ SY968 )
            | ( coll @ SV96 @ SV2 @ SY968 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[415]) ).

thf(511,plain,
    ! [SV97: $i,SV3: $i] :
      ( ( ! [SY969: $i,SY970: $i] :
            ( ~ ( coll @ SV3 @ SV97 @ SY969 )
            | ~ ( coll @ SV3 @ SV97 @ SY970 )
            | ( coll @ SY969 @ SY970 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[416]) ).

thf(512,plain,
    ! [SV98: $i,SV4: $i] :
      ( ( ! [SY971: $i,SY972: $i] :
            ( ~ ( para @ SV4 @ SV98 @ SY971 @ SY972 )
            | ( para @ SV4 @ SV98 @ SY972 @ SY971 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[417]) ).

thf(513,plain,
    ! [SV99: $i,SV5: $i] :
      ( ( ! [SY973: $i,SY974: $i] :
            ( ~ ( para @ SV5 @ SV99 @ SY973 @ SY974 )
            | ( para @ SY973 @ SY974 @ SV5 @ SV99 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[418]) ).

thf(514,plain,
    ! [SV100: $i,SV6: $i] :
      ( ( ! [SY975: $i,SY976: $i,SY977: $i,SY978: $i] :
            ( ~ ( para @ SV6 @ SV100 @ SY975 @ SY976 )
            | ~ ( para @ SY975 @ SY976 @ SY977 @ SY978 )
            | ( para @ SV6 @ SV100 @ SY977 @ SY978 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(515,plain,
    ! [SV101: $i,SV7: $i] :
      ( ( ! [SY979: $i,SY980: $i] :
            ( ~ ( perp @ SV7 @ SV101 @ SY979 @ SY980 )
            | ( perp @ SV7 @ SV101 @ SY980 @ SY979 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[420]) ).

thf(516,plain,
    ! [SV102: $i,SV8: $i] :
      ( ( ! [SY981: $i,SY982: $i] :
            ( ~ ( perp @ SV8 @ SV102 @ SY981 @ SY982 )
            | ( perp @ SY981 @ SY982 @ SV8 @ SV102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[421]) ).

thf(517,plain,
    ! [SV103: $i,SV9: $i] :
      ( ( ! [SY983: $i,SY984: $i,SY985: $i,SY986: $i] :
            ( ~ ( perp @ SV9 @ SV103 @ SY983 @ SY984 )
            | ~ ( perp @ SY983 @ SY984 @ SY985 @ SY986 )
            | ( para @ SV9 @ SV103 @ SY985 @ SY986 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[422]) ).

thf(518,plain,
    ! [SV104: $i,SV10: $i] :
      ( ( ! [SY987: $i,SY988: $i,SY989: $i,SY990: $i] :
            ( ~ ( para @ SV10 @ SV104 @ SY987 @ SY988 )
            | ~ ( perp @ SY987 @ SY988 @ SY989 @ SY990 )
            | ( perp @ SV10 @ SV104 @ SY989 @ SY990 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[423]) ).

thf(519,plain,
    ! [SV11: $i,SV105: $i] :
      ( ( ! [SY991: $i] :
            ( ~ ( midp @ SY991 @ SV105 @ SV11 )
            | ( midp @ SY991 @ SV11 @ SV105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(520,plain,
    ! [SV106: $i,SV12: $i] :
      ( ( ! [SY992: $i,SY993: $i] :
            ( ~ ( cong @ SY993 @ SV12 @ SY993 @ SV106 )
            | ~ ( cong @ SY993 @ SV12 @ SY993 @ SY992 )
            | ( circle @ SY993 @ SV12 @ SV106 @ SY992 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(521,plain,
    ! [SV107: $i,SV13: $i] :
      ( ( ! [SY994: $i,SY995: $i] :
            ( ! [SY996: $i] :
                ( ~ ( cong @ SY996 @ SV13 @ SY996 @ SV107 )
                | ~ ( cong @ SY996 @ SV13 @ SY996 @ SY994 )
                | ~ ( cong @ SY996 @ SV13 @ SY996 @ SY995 ) )
            | ( cyclic @ SV13 @ SV107 @ SY994 @ SY995 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(522,plain,
    ! [SV108: $i,SV14: $i] :
      ( ( ! [SY997: $i,SY998: $i] :
            ( ~ ( cyclic @ SV14 @ SV108 @ SY997 @ SY998 )
            | ( cyclic @ SV14 @ SV108 @ SY998 @ SY997 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(523,plain,
    ! [SV109: $i,SV15: $i] :
      ( ( ! [SY999: $i,SY1000: $i] :
            ( ~ ( cyclic @ SV15 @ SV109 @ SY999 @ SY1000 )
            | ( cyclic @ SV15 @ SY999 @ SV109 @ SY1000 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(524,plain,
    ! [SV110: $i,SV16: $i] :
      ( ( ! [SY1001: $i,SY1002: $i] :
            ( ~ ( cyclic @ SV16 @ SV110 @ SY1001 @ SY1002 )
            | ( cyclic @ SV110 @ SV16 @ SY1001 @ SY1002 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(525,plain,
    ! [SV111: $i,SV17: $i] :
      ( ( ! [SY1003: $i,SY1004: $i,SY1005: $i] :
            ( ~ ( cyclic @ SV17 @ SV111 @ SY1003 @ SY1004 )
            | ~ ( cyclic @ SV17 @ SV111 @ SY1003 @ SY1005 )
            | ( cyclic @ SV111 @ SY1003 @ SY1004 @ SY1005 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[430]) ).

thf(526,plain,
    ! [SV112: $i,SV18: $i] :
      ( ( ! [SY1006: $i,SY1007: $i,SY1008: $i,SY1009: $i,SY1010: $i,SY1011: $i] :
            ( ~ ( eqangle @ SV18 @ SV112 @ SY1006 @ SY1007 @ SY1008 @ SY1009 @ SY1010 @ SY1011 )
            | ( eqangle @ SV112 @ SV18 @ SY1006 @ SY1007 @ SY1008 @ SY1009 @ SY1010 @ SY1011 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[431]) ).

thf(527,plain,
    ! [SV113: $i,SV19: $i] :
      ( ( ! [SY1012: $i,SY1013: $i,SY1014: $i,SY1015: $i,SY1016: $i,SY1017: $i] :
            ( ~ ( eqangle @ SV19 @ SV113 @ SY1012 @ SY1013 @ SY1014 @ SY1015 @ SY1016 @ SY1017 )
            | ( eqangle @ SY1012 @ SY1013 @ SV19 @ SV113 @ SY1016 @ SY1017 @ SY1014 @ SY1015 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(528,plain,
    ! [SV114: $i,SV20: $i] :
      ( ( ! [SY1018: $i,SY1019: $i,SY1020: $i,SY1021: $i,SY1022: $i,SY1023: $i] :
            ( ~ ( eqangle @ SV20 @ SV114 @ SY1018 @ SY1019 @ SY1020 @ SY1021 @ SY1022 @ SY1023 )
            | ( eqangle @ SY1020 @ SY1021 @ SY1022 @ SY1023 @ SV20 @ SV114 @ SY1018 @ SY1019 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[433]) ).

thf(529,plain,
    ! [SV115: $i,SV21: $i] :
      ( ( ! [SY1024: $i,SY1025: $i,SY1026: $i,SY1027: $i,SY1028: $i,SY1029: $i] :
            ( ~ ( eqangle @ SV21 @ SV115 @ SY1024 @ SY1025 @ SY1026 @ SY1027 @ SY1028 @ SY1029 )
            | ( eqangle @ SV21 @ SV115 @ SY1026 @ SY1027 @ SY1024 @ SY1025 @ SY1028 @ SY1029 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(530,plain,
    ! [SV116: $i,SV22: $i] :
      ( ( ! [SY1030: $i,SY1031: $i,SY1032: $i,SY1033: $i,SY1034: $i,SY1035: $i,SY1036: $i,SY1037: $i,SY1038: $i,SY1039: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SY1030 @ SY1031 @ SY1032 @ SY1033 @ SY1034 @ SY1035 )
            | ~ ( eqangle @ SY1032 @ SY1033 @ SY1034 @ SY1035 @ SY1036 @ SY1037 @ SY1038 @ SY1039 )
            | ( eqangle @ SV22 @ SV116 @ SY1030 @ SY1031 @ SY1036 @ SY1037 @ SY1038 @ SY1039 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[435]) ).

thf(531,plain,
    ! [SV117: $i,SV23: $i] :
      ( ( ! [SY1040: $i,SY1041: $i] :
            ( ~ ( cong @ SV23 @ SV117 @ SY1040 @ SY1041 )
            | ( cong @ SV23 @ SV117 @ SY1041 @ SY1040 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[436]) ).

thf(532,plain,
    ! [SV118: $i,SV24: $i] :
      ( ( ! [SY1042: $i,SY1043: $i] :
            ( ~ ( cong @ SV24 @ SV118 @ SY1042 @ SY1043 )
            | ( cong @ SY1042 @ SY1043 @ SV24 @ SV118 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[437]) ).

thf(533,plain,
    ! [SV119: $i,SV25: $i] :
      ( ( ! [SY1044: $i,SY1045: $i,SY1046: $i,SY1047: $i] :
            ( ~ ( cong @ SV25 @ SV119 @ SY1044 @ SY1045 )
            | ~ ( cong @ SY1044 @ SY1045 @ SY1046 @ SY1047 )
            | ( cong @ SV25 @ SV119 @ SY1046 @ SY1047 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[438]) ).

thf(534,plain,
    ! [SV120: $i,SV26: $i] :
      ( ( ! [SY1048: $i,SY1049: $i,SY1050: $i,SY1051: $i,SY1052: $i,SY1053: $i] :
            ( ~ ( eqratio @ SV26 @ SV120 @ SY1048 @ SY1049 @ SY1050 @ SY1051 @ SY1052 @ SY1053 )
            | ( eqratio @ SV120 @ SV26 @ SY1048 @ SY1049 @ SY1050 @ SY1051 @ SY1052 @ SY1053 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[439]) ).

thf(535,plain,
    ! [SV121: $i,SV27: $i] :
      ( ( ! [SY1054: $i,SY1055: $i,SY1056: $i,SY1057: $i,SY1058: $i,SY1059: $i] :
            ( ~ ( eqratio @ SV27 @ SV121 @ SY1054 @ SY1055 @ SY1056 @ SY1057 @ SY1058 @ SY1059 )
            | ( eqratio @ SY1054 @ SY1055 @ SV27 @ SV121 @ SY1058 @ SY1059 @ SY1056 @ SY1057 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[440]) ).

thf(536,plain,
    ! [SV122: $i,SV28: $i] :
      ( ( ! [SY1060: $i,SY1061: $i,SY1062: $i,SY1063: $i,SY1064: $i,SY1065: $i] :
            ( ~ ( eqratio @ SV28 @ SV122 @ SY1060 @ SY1061 @ SY1062 @ SY1063 @ SY1064 @ SY1065 )
            | ( eqratio @ SY1062 @ SY1063 @ SY1064 @ SY1065 @ SV28 @ SV122 @ SY1060 @ SY1061 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(537,plain,
    ! [SV123: $i,SV29: $i] :
      ( ( ! [SY1066: $i,SY1067: $i,SY1068: $i,SY1069: $i,SY1070: $i,SY1071: $i] :
            ( ~ ( eqratio @ SV29 @ SV123 @ SY1066 @ SY1067 @ SY1068 @ SY1069 @ SY1070 @ SY1071 )
            | ( eqratio @ SV29 @ SV123 @ SY1068 @ SY1069 @ SY1066 @ SY1067 @ SY1070 @ SY1071 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[442]) ).

thf(538,plain,
    ! [SV124: $i,SV30: $i] :
      ( ( ! [SY1072: $i,SY1073: $i,SY1074: $i,SY1075: $i,SY1076: $i,SY1077: $i,SY1078: $i,SY1079: $i] :
            ( ! [SY1080: $i,SY1081: $i] :
                ( ~ ( eqratio @ SV30 @ SV124 @ SY1072 @ SY1073 @ SY1078 @ SY1079 @ SY1080 @ SY1081 )
                | ~ ( eqratio @ SY1078 @ SY1079 @ SY1080 @ SY1081 @ SY1074 @ SY1075 @ SY1076 @ SY1077 ) )
            | ( eqratio @ SV30 @ SV124 @ SY1072 @ SY1073 @ SY1074 @ SY1075 @ SY1076 @ SY1077 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(539,plain,
    ! [SV125: $i,SV31: $i] :
      ( ( ! [SY1082: $i,SY1083: $i,SY1084: $i,SY1085: $i] :
            ( ~ ( simtri @ SV31 @ SY1082 @ SV125 @ SY1083 @ SY1085 @ SY1084 )
            | ( simtri @ SV31 @ SV125 @ SY1082 @ SY1083 @ SY1084 @ SY1085 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[444]) ).

thf(540,plain,
    ! [SV32: $i,SV126: $i] :
      ( ( ! [SY1086: $i,SY1087: $i,SY1088: $i,SY1089: $i] :
            ( ~ ( simtri @ SV126 @ SV32 @ SY1086 @ SY1088 @ SY1087 @ SY1089 )
            | ( simtri @ SV32 @ SV126 @ SY1086 @ SY1087 @ SY1088 @ SY1089 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[445]) ).

thf(541,plain,
    ! [SV127: $i,SV33: $i] :
      ( ( ! [SY1090: $i,SY1091: $i,SY1092: $i,SY1093: $i] :
            ( ~ ( simtri @ SY1091 @ SY1092 @ SY1093 @ SV33 @ SV127 @ SY1090 )
            | ( simtri @ SV33 @ SV127 @ SY1090 @ SY1091 @ SY1092 @ SY1093 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[446]) ).

thf(542,plain,
    ! [SV128: $i,SV34: $i] :
      ( ( ! [SY1094: $i,SY1095: $i,SY1096: $i,SY1097: $i,SY1098: $i,SY1099: $i,SY1100: $i] :
            ( ~ ( simtri @ SV34 @ SV128 @ SY1094 @ SY1095 @ SY1096 @ SY1097 )
            | ~ ( simtri @ SY1095 @ SY1096 @ SY1097 @ SY1098 @ SY1099 @ SY1100 )
            | ( simtri @ SV34 @ SV128 @ SY1094 @ SY1098 @ SY1099 @ SY1100 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[447]) ).

thf(543,plain,
    ! [SV129: $i,SV35: $i] :
      ( ( ! [SY1101: $i,SY1102: $i,SY1103: $i,SY1104: $i] :
            ( ~ ( contri @ SV35 @ SY1101 @ SV129 @ SY1102 @ SY1104 @ SY1103 )
            | ( contri @ SV35 @ SV129 @ SY1101 @ SY1102 @ SY1103 @ SY1104 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[448]) ).

thf(544,plain,
    ! [SV36: $i,SV130: $i] :
      ( ( ! [SY1105: $i,SY1106: $i,SY1107: $i,SY1108: $i] :
            ( ~ ( contri @ SV130 @ SV36 @ SY1105 @ SY1107 @ SY1106 @ SY1108 )
            | ( contri @ SV36 @ SV130 @ SY1105 @ SY1106 @ SY1107 @ SY1108 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[449]) ).

thf(545,plain,
    ! [SV131: $i,SV37: $i] :
      ( ( ! [SY1109: $i,SY1110: $i,SY1111: $i,SY1112: $i] :
            ( ~ ( contri @ SY1110 @ SY1111 @ SY1112 @ SV37 @ SV131 @ SY1109 )
            | ( contri @ SV37 @ SV131 @ SY1109 @ SY1110 @ SY1111 @ SY1112 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[450]) ).

thf(546,plain,
    ! [SV132: $i,SV38: $i] :
      ( ( ! [SY1113: $i,SY1114: $i,SY1115: $i,SY1116: $i,SY1117: $i,SY1118: $i,SY1119: $i] :
            ( ~ ( contri @ SV38 @ SV132 @ SY1113 @ SY1114 @ SY1115 @ SY1116 )
            | ~ ( contri @ SY1114 @ SY1115 @ SY1116 @ SY1117 @ SY1118 @ SY1119 )
            | ( contri @ SV38 @ SV132 @ SY1113 @ SY1117 @ SY1118 @ SY1119 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(547,plain,
    ! [SV133: $i,SV39: $i] :
      ( ( ! [SY1120: $i,SY1121: $i] :
            ( ! [SY1122: $i,SY1123: $i] :
                ~ ( eqangle @ SV39 @ SV133 @ SY1122 @ SY1123 @ SY1120 @ SY1121 @ SY1122 @ SY1123 )
            | ( para @ SV39 @ SV133 @ SY1120 @ SY1121 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(548,plain,
    ! [SV134: $i,SV40: $i] :
      ( ( ! [SY1124: $i,SY1125: $i] :
            ( ~ ( para @ SV40 @ SV134 @ SY1124 @ SY1125 )
            | ! [SY1126: $i,SY1127: $i] : ( eqangle @ SV40 @ SV134 @ SY1126 @ SY1127 @ SY1124 @ SY1125 @ SY1126 @ SY1127 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[453]) ).

thf(549,plain,
    ! [SV135: $i,SV41: $i] :
      ( ( ! [SY1128: $i,SY1129: $i] :
            ( ~ ( cyclic @ SV41 @ SV135 @ SY1128 @ SY1129 )
            | ( eqangle @ SY1128 @ SV41 @ SY1128 @ SV135 @ SY1129 @ SV41 @ SY1129 @ SV135 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[454]) ).

thf(550,plain,
    ! [SV136: $i,SV42: $i] :
      ( ( ! [SY1130: $i,SY1131: $i] :
            ( ~ ( eqangle @ SY1130 @ SV42 @ SY1130 @ SV136 @ SY1131 @ SV42 @ SY1131 @ SV136 )
            | ( coll @ SY1130 @ SY1131 @ SV42 )
            | ( cyclic @ SV42 @ SV136 @ SY1130 @ SY1131 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[455]) ).

thf(551,plain,
    ! [SV43: $i,SV137: $i] :
      ( ( ! [SY1132: $i,SY1133: $i] :
            ( ~ ( coll @ SY1132 @ SY1133 @ SV137 )
            | ~ ( eqangle @ SY1132 @ SV43 @ SY1132 @ SV137 @ SY1133 @ SV43 @ SY1133 @ SV137 )
            | ( cyclic @ SV43 @ SV137 @ SY1132 @ SY1133 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[456]) ).

thf(552,plain,
    ! [SV138: $i,SV44: $i] :
      ( ( ! [SY1134: $i,SY1135: $i,SY1136: $i] :
            ( ! [SY1137: $i] :
                ( ~ ( cyclic @ SV44 @ SV138 @ SY1134 @ SY1135 )
                | ~ ( cyclic @ SV44 @ SV138 @ SY1134 @ SY1136 )
                | ~ ( cyclic @ SV44 @ SV138 @ SY1134 @ SY1137 )
                | ~ ( eqangle @ SY1134 @ SV44 @ SY1134 @ SV138 @ SY1137 @ SY1135 @ SY1137 @ SY1136 ) )
            | ( cong @ SV44 @ SV138 @ SY1135 @ SY1136 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[457]) ).

thf(553,plain,
    ! [SV139: $i,SV45: $i] :
      ( ( ! [SY1138: $i,SY1139: $i,SY1140: $i] :
            ( ~ ( midp @ SY1139 @ SV45 @ SV139 )
            | ~ ( midp @ SY1140 @ SV45 @ SY1138 )
            | ( para @ SY1139 @ SY1140 @ SV139 @ SY1138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(554,plain,
    ! [SV140: $i,SV46: $i] :
      ( ( ! [SY1141: $i,SY1142: $i,SY1143: $i] :
            ( ~ ( midp @ SY1142 @ SV46 @ SV140 )
            | ~ ( para @ SY1142 @ SY1143 @ SV140 @ SY1141 )
            | ~ ( coll @ SY1143 @ SV46 @ SY1141 )
            | ( midp @ SY1143 @ SV46 @ SY1141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[459]) ).

thf(555,plain,
    ! [SV141: $i,SV47: $i] :
      ( ( ! [SY1144: $i] :
            ( ~ ( cong @ SY1144 @ SV47 @ SY1144 @ SV141 )
            | ( eqangle @ SY1144 @ SV47 @ SV47 @ SV141 @ SV47 @ SV141 @ SY1144 @ SV141 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[460]) ).

thf(556,plain,
    ! [SV142: $i,SV48: $i] :
      ( ( ! [SY1145: $i] :
            ( ~ ( eqangle @ SY1145 @ SV48 @ SV48 @ SV142 @ SV48 @ SV142 @ SY1145 @ SV142 )
            | ( coll @ SY1145 @ SV48 @ SV142 )
            | ( cong @ SY1145 @ SV48 @ SY1145 @ SV142 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[461]) ).

thf(557,plain,
    ! [SV143: $i,SV49: $i] :
      ( ( ! [SY1146: $i,SY1147: $i,SY1148: $i] :
            ( ~ ( circle @ SY1147 @ SV49 @ SV143 @ SY1146 )
            | ~ ( perp @ SY1147 @ SV49 @ SV49 @ SY1148 )
            | ( eqangle @ SV49 @ SY1148 @ SV49 @ SV143 @ SY1146 @ SV49 @ SY1146 @ SV143 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[462]) ).

thf(558,plain,
    ! [SV144: $i,SV50: $i] :
      ( ( ! [SY1149: $i,SY1150: $i,SY1151: $i] :
            ( ~ ( circle @ SY1150 @ SV50 @ SV144 @ SY1149 )
            | ~ ( eqangle @ SV50 @ SY1151 @ SV50 @ SV144 @ SY1149 @ SV50 @ SY1149 @ SV144 )
            | ( perp @ SY1150 @ SV50 @ SV50 @ SY1151 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(559,plain,
    ! [SV145: $i,SV51: $i] :
      ( ( ! [SY1152: $i,SY1153: $i,SY1154: $i] :
            ( ~ ( circle @ SY1153 @ SV51 @ SV145 @ SY1152 )
            | ~ ( midp @ SY1154 @ SV145 @ SY1152 )
            | ( eqangle @ SV51 @ SV145 @ SV51 @ SY1152 @ SY1153 @ SV145 @ SY1153 @ SY1154 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[464]) ).

thf(560,plain,
    ! [SV146: $i,SV52: $i] :
      ( ( ! [SY1155: $i,SY1156: $i,SY1157: $i] :
            ( ~ ( circle @ SY1156 @ SV52 @ SV146 @ SY1155 )
            | ~ ( coll @ SY1157 @ SV146 @ SY1155 )
            | ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SY1155 @ SY1156 @ SV146 @ SY1156 @ SY1157 )
            | ( midp @ SY1157 @ SV146 @ SY1155 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[465]) ).

thf(561,plain,
    ! [SV147: $i,SV53: $i] :
      ( ( ! [SY1158: $i,SY1159: $i] :
            ( ~ ( midp @ SY1159 @ SV53 @ SY1158 )
            | ~ ( perp @ SV53 @ SV147 @ SV147 @ SY1158 )
            | ( cong @ SV53 @ SY1159 @ SV147 @ SY1159 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[466]) ).

thf(562,plain,
    ! [SV148: $i,SV54: $i] :
      ( ( ! [SY1160: $i] :
            ( ! [SY1161: $i] :
                ( ~ ( circle @ SY1161 @ SV54 @ SV148 @ SY1160 )
                | ~ ( coll @ SY1161 @ SV54 @ SY1160 ) )
            | ( perp @ SV54 @ SV148 @ SV148 @ SY1160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[467]) ).

thf(563,plain,
    ! [SV149: $i,SV55: $i] :
      ( ( ! [SY1162: $i,SY1163: $i] :
            ( ~ ( cyclic @ SV55 @ SV149 @ SY1162 @ SY1163 )
            | ~ ( para @ SV55 @ SV149 @ SY1162 @ SY1163 )
            | ( eqangle @ SV55 @ SY1163 @ SY1162 @ SY1163 @ SY1162 @ SY1163 @ SY1162 @ SV149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[468]) ).

thf(564,plain,
    ! [SV150: $i,SV56: $i] :
      ( ( ! [SY1164: $i,SY1165: $i] :
            ( ~ ( midp @ SY1164 @ SV56 @ SV150 )
            | ~ ( perp @ SY1165 @ SY1164 @ SV56 @ SV150 )
            | ( cong @ SY1165 @ SV56 @ SY1165 @ SV150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(565,plain,
    ! [SV151: $i,SV57: $i] :
      ( ( ! [SY1166: $i,SY1167: $i] :
            ( ~ ( cong @ SV57 @ SY1166 @ SV151 @ SY1166 )
            | ~ ( cong @ SV57 @ SY1167 @ SV151 @ SY1167 )
            | ( perp @ SV57 @ SV151 @ SY1166 @ SY1167 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(566,plain,
    ! [SV152: $i,SV58: $i] :
      ( ( ! [SY1168: $i,SY1169: $i] :
            ( ~ ( cong @ SV58 @ SY1168 @ SV152 @ SY1168 )
            | ~ ( cong @ SV58 @ SY1169 @ SV152 @ SY1169 )
            | ~ ( cyclic @ SV58 @ SV152 @ SY1168 @ SY1169 )
            | ( perp @ SY1168 @ SV58 @ SV58 @ SY1169 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[471]) ).

thf(567,plain,
    ! [SV153: $i,SV59: $i] :
      ( ( ! [SY1170: $i,SY1171: $i,SY1172: $i,SY1173: $i] :
            ( ~ ( eqangle @ SV59 @ SV153 @ SV153 @ SY1170 @ SY1171 @ SY1172 @ SY1172 @ SY1173 )
            | ~ ( eqangle @ SV59 @ SY1170 @ SV153 @ SY1170 @ SY1171 @ SY1173 @ SY1172 @ SY1173 )
            | ( coll @ SV59 @ SV153 @ SY1170 )
            | ( simtri @ SV59 @ SV153 @ SY1170 @ SY1171 @ SY1172 @ SY1173 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[472]) ).

thf(568,plain,
    ! [SV154: $i,SV60: $i] :
      ( ( ! [SY1174: $i,SY1175: $i,SY1176: $i,SY1177: $i] :
            ( ~ ( simtri @ SV60 @ SV154 @ SY1174 @ SY1175 @ SY1176 @ SY1177 )
            | ( eqratio @ SV60 @ SV154 @ SV60 @ SY1174 @ SY1175 @ SY1176 @ SY1175 @ SY1177 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[473]) ).

thf(569,plain,
    ! [SV155: $i,SV61: $i] :
      ( ( ! [SY1178: $i,SY1179: $i,SY1180: $i,SY1181: $i] :
            ( ~ ( simtri @ SV61 @ SV155 @ SY1178 @ SY1179 @ SY1180 @ SY1181 )
            | ( eqangle @ SV61 @ SV155 @ SV155 @ SY1178 @ SY1179 @ SY1180 @ SY1180 @ SY1181 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[474]) ).

thf(570,plain,
    ! [SV156: $i,SV62: $i] :
      ( ( ! [SY1182: $i,SY1183: $i,SY1184: $i,SY1185: $i] :
            ( ~ ( cong @ SV62 @ SV156 @ SY1183 @ SY1184 )
            | ~ ( simtri @ SV62 @ SV156 @ SY1182 @ SY1183 @ SY1184 @ SY1185 )
            | ( contri @ SV62 @ SV156 @ SY1182 @ SY1183 @ SY1184 @ SY1185 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[475]) ).

thf(571,plain,
    ! [SV157: $i,SV63: $i] :
      ( ( ! [SY1186: $i,SY1187: $i,SY1188: $i] :
            ( ! [SY1189: $i] :
                ~ ( contri @ SV63 @ SV157 @ SY1186 @ SY1187 @ SY1188 @ SY1189 )
            | ( cong @ SV63 @ SV157 @ SY1187 @ SY1188 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[476]) ).

thf(572,plain,
    ! [SV158: $i,SV64: $i] :
      ( ( ! [SY1190: $i,SY1191: $i] :
            ( ! [SY1192: $i] :
                ( ~ ( midp @ SY1192 @ SV64 @ SV158 )
                | ~ ( midp @ SY1192 @ SY1190 @ SY1191 ) )
            | ( para @ SV64 @ SY1190 @ SV158 @ SY1191 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[477]) ).

thf(573,plain,
    ! [SV159: $i,SV65: $i] :
      ( ( ! [SY1193: $i,SY1194: $i,SY1195: $i] :
            ( ~ ( midp @ SY1195 @ SV65 @ SV159 )
            | ~ ( para @ SV65 @ SY1193 @ SV159 @ SY1194 )
            | ~ ( para @ SV65 @ SY1194 @ SV159 @ SY1193 )
            | ( midp @ SY1195 @ SY1193 @ SY1194 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[478]) ).

thf(574,plain,
    ! [SV160: $i,SV66: $i] :
      ( ( ! [SY1196: $i,SY1197: $i,SY1198: $i] :
            ( ~ ( coll @ SY1198 @ SV66 @ SY1196 )
            | ~ ( para @ SV66 @ SV160 @ SY1196 @ SY1197 )
            | ~ ( coll @ SY1198 @ SV160 @ SY1197 )
            | ( eqratio @ SY1198 @ SV66 @ SV66 @ SY1196 @ SY1198 @ SV160 @ SV160 @ SY1197 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(575,plain,
    ! [SV161: $i,SV67: $i] :
      ( ( ! [SY1199: $i] :
            ( ~ ( para @ SV67 @ SV161 @ SV67 @ SY1199 )
            | ( coll @ SV67 @ SV161 @ SY1199 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[480]) ).

thf(576,plain,
    ! [SV162: $i,SV68: $i] :
      ( ( ! [SY1200: $i] :
            ( ~ ( coll @ SV68 @ SV162 @ SY1200 )
            | ~ ( cong @ SV68 @ SV162 @ SV68 @ SY1200 )
            | ( midp @ SV68 @ SV162 @ SY1200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[481]) ).

thf(577,plain,
    ! [SV163: $i,SV69: $i] :
      ( ( ! [SY1201: $i] :
            ( ~ ( midp @ SV69 @ SV163 @ SY1201 )
            | ( cong @ SV69 @ SV163 @ SV69 @ SY1201 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[482]) ).

thf(578,plain,
    ! [SV164: $i,SV70: $i] :
      ( ( ! [SY1202: $i] :
            ( ~ ( midp @ SV70 @ SV164 @ SY1202 )
            | ( coll @ SV70 @ SV164 @ SY1202 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[483]) ).

thf(579,plain,
    ! [SV165: $i,SV71: $i] :
      ( ( ! [SY1203: $i,SY1204: $i,SY1205: $i,SY1206: $i] :
            ( ~ ( midp @ SY1205 @ SV71 @ SV165 )
            | ~ ( midp @ SY1206 @ SY1203 @ SY1204 )
            | ( eqratio @ SY1205 @ SV71 @ SV71 @ SV165 @ SY1206 @ SY1203 @ SY1203 @ SY1204 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[484]) ).

thf(580,plain,
    ! [SV166: $i,SV72: $i] :
      ( ( ! [SY1207: $i,SY1208: $i] :
            ( ~ ( eqangle @ SV72 @ SV166 @ SY1207 @ SY1208 @ SY1207 @ SY1208 @ SV72 @ SV166 )
            | ( para @ SV72 @ SV166 @ SY1207 @ SY1208 )
            | ( perp @ SV72 @ SV166 @ SY1207 @ SY1208 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[485]) ).

thf(581,plain,
    ! [SV167: $i,SV73: $i] :
      ( ( ! [SY1209: $i,SY1210: $i] :
            ( ~ ( eqangle @ SV73 @ SV167 @ SY1209 @ SY1210 @ SY1209 @ SY1210 @ SV73 @ SV167 )
            | ( perp @ SV73 @ SV167 @ SY1209 @ SY1210 )
            | ( para @ SV73 @ SV167 @ SY1209 @ SY1210 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[486]) ).

thf(582,plain,
    ! [SV168: $i,SV74: $i] :
      ( ( ! [SY1211: $i,SY1212: $i,SY1213: $i,SY1214: $i] :
            ( ! [SY1215: $i,SY1216: $i] :
                ( ~ ( eqangle @ SV74 @ SV168 @ SY1211 @ SY1212 @ SY1213 @ SY1214 @ SY1215 @ SY1216 )
                | ~ ( para @ SY1213 @ SY1214 @ SY1215 @ SY1216 ) )
            | ( para @ SV74 @ SV168 @ SY1211 @ SY1212 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[487]) ).

thf(583,plain,
    ! [SV169: $i,SV75: $i] :
      ( ( ! [SY1217: $i,SY1218: $i,SY1219: $i,SY1220: $i] :
            ( ! [SY1221: $i,SY1222: $i] :
                ( ~ ( eqangle @ SV75 @ SV169 @ SY1217 @ SY1218 @ SY1219 @ SY1220 @ SY1221 @ SY1222 )
                | ~ ( perp @ SY1219 @ SY1220 @ SY1221 @ SY1222 ) )
            | ( perp @ SV75 @ SV169 @ SY1217 @ SY1218 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(584,plain,
    ! [SV170: $i,SV76: $i] :
      ( ( ! [SY1223: $i,SY1224: $i,SY1225: $i,SY1226: $i] :
            ( ! [SY1227: $i,SY1228: $i] :
                ( ~ ( cong @ SY1225 @ SY1226 @ SY1227 @ SY1228 )
                | ~ ( eqratio @ SV76 @ SV170 @ SY1223 @ SY1224 @ SY1225 @ SY1226 @ SY1227 @ SY1228 ) )
            | ( cong @ SV76 @ SV170 @ SY1223 @ SY1224 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[489]) ).

thf(585,plain,
    ! [SV171: $i,SV77: $i] :
      ( ( ! [SY1229: $i,SY1230: $i,SY1231: $i,SY1232: $i] :
            ( ~ ( midp @ SY1231 @ SV77 @ SV171 )
            | ~ ( midp @ SY1232 @ SY1229 @ SY1230 )
            | ~ ( coll @ SY1229 @ SV77 @ SV171 )
            | ~ ( coll @ SY1230 @ SV77 @ SV171 )
            | ! [SY1233: $i] : ( midp @ ( sK22_P @ SY1233 @ SY1232 @ SY1231 @ SY1230 @ SY1229 @ SV171 @ SV77 ) @ SV77 @ SY1233 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[490]) ).

thf(586,plain,
    ! [SV172: $i,SV78: $i] :
      ( ( ! [SY1234: $i,SY1235: $i] :
            ( ~ ( circle @ SY1235 @ SV78 @ SV172 @ SY1234 )
            | ( perp @ ( sK17_P @ SY1235 @ SY1234 @ SV172 @ SV78 ) @ SV78 @ SV78 @ SY1235 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[491]) ).

thf(587,plain,
    ! [SV173: $i,SV79: $i] :
      ( ( ! [SY1236: $i,SY1237: $i] :
            ( ~ ( cyclic @ SV79 @ SV173 @ SY1236 @ SY1237 )
            | ~ ( para @ SV79 @ SV173 @ SY1236 @ SY1237 )
            | ! [SY1238: $i] :
                ~ ( midp @ SY1238 @ SV79 @ SV173 )
            | ( circle @ ( sK14_O @ SY1237 @ SY1236 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SY1236 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(588,plain,
    ! [SV174: $i,SV80: $i] :
      ( ( ! [SY1239: $i] :
            ( ! [SY1240: $i] :
                ~ ( cyclic @ SV80 @ SV174 @ SY1239 @ SY1240 )
            | ~ ( perp @ SV80 @ SY1239 @ SY1239 @ SV174 )
            | ( circle @ ( sK13_O @ SY1239 @ SV174 @ SV80 ) @ SV80 @ SV174 @ SY1239 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[493]) ).

thf(589,plain,
    ! [SV175: $i,SV81: $i] :
      ( ( ! [SY1241: $i,SY1242: $i] :
            ( ~ ( perp @ SV81 @ SV175 @ SV81 @ SY1241 )
            | ~ ( perp @ SY1241 @ SV81 @ SY1241 @ SY1242 )
            | ! [SY1243: $i] :
                ~ ( midp @ SY1243 @ SV175 @ SY1242 )
            | ( midp @ ( sK11_P @ SY1242 @ SY1241 @ SV175 @ SV81 ) @ SV81 @ SY1241 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[494]) ).

thf(590,plain,
    ! [SV176: $i,SV82: $i] :
      ( ( ! [SY1244: $i] :
            ~ ( ~ ( ~ ( cong @ SY1244 @ SV82 @ SY1244 @ SV176 )
                  | ~ ( perp @ SV82 @ SY1244 @ SY1244 @ SV176 )
                  | ( coll @ SV82 @ SY1244 @ ( sK10_C @ SY1244 @ SV176 @ SV82 ) ) )
              | ~ ( ~ ( cong @ SY1244 @ SV82 @ SY1244 @ SV176 )
                  | ~ ( perp @ SV82 @ SY1244 @ SY1244 @ SV176 )
                  | ( cong @ SY1244 @ SV82 @ SY1244 @ ( sK10_C @ SY1244 @ SV176 @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[496]) ).

thf(591,plain,
    ! [SV177: $i,SV83: $i] :
      ( ( ! [SY1245: $i,SY1246: $i,SY1247: $i,SY1248: $i] :
            ~ ( ~ ( ~ ( coll @ SY1247 @ SV83 @ SY1245 )
                  | ~ ( para @ SV83 @ SV177 @ SY1245 @ SY1246 )
                  | ~ ( coll @ SY1247 @ SV177 @ SY1246 )
                  | ~ ( coll @ SY1248 @ SV83 @ SV177 )
                  | ( coll @ SY1247 @ SY1248 @ ( sK9_R @ SY1248 @ SY1247 @ SY1246 @ SY1245 @ SV177 @ SV83 ) ) )
              | ~ ( ~ ( coll @ SY1247 @ SV83 @ SY1245 )
                  | ~ ( para @ SV83 @ SV177 @ SY1245 @ SY1246 )
                  | ~ ( coll @ SY1247 @ SV177 @ SY1246 )
                  | ~ ( coll @ SY1248 @ SV83 @ SV177 )
                  | ( coll @ ( sK9_R @ SY1248 @ SY1247 @ SY1246 @ SY1245 @ SV177 @ SV83 ) @ SY1245 @ SY1246 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[497]) ).

thf(592,plain,
    ! [SV178: $i,SV84: $i] :
      ( ( ! [SY1249: $i,SY1250: $i] :
            ~ ( ~ ( ~ ( eqangle @ SV84 @ SY1249 @ SY1249 @ SY1250 @ SY1249 @ SY1250 @ SY1249 @ SV178 )
                  | ~ ( perp @ SY1249 @ SY1250 @ SV84 @ SV178 )
                  | ( coll @ SV178 @ SV84 @ ( sK26_M @ SY1250 @ SY1249 @ SV178 @ SV84 ) ) )
              | ~ ( ~ ( eqangle @ SV84 @ SY1249 @ SY1249 @ SY1250 @ SY1249 @ SY1250 @ SY1249 @ SV178 )
                  | ~ ( perp @ SY1249 @ SY1250 @ SV84 @ SV178 )
                  | ( coll @ ( sK26_M @ SY1250 @ SY1249 @ SV178 @ SV84 ) @ SY1249 @ SY1250 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[498]) ).

thf(593,plain,
    ! [SV179: $i,SV85: $i] :
      ( ( ! [SY1251: $i,SY1252: $i,SY1253: $i,SY1254: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( midp @ SY1253 @ SV85 @ SV179 )
                        | ~ ( midp @ SY1254 @ SY1251 @ SY1252 )
                        | ( midp @ ( sK23_P @ SY1254 @ SY1253 @ SY1252 @ SY1251 @ SV179 @ SV85 ) @ SV85 @ SY1252 ) )
                    | ~ ( ~ ( midp @ SY1253 @ SV85 @ SV179 )
                        | ~ ( midp @ SY1254 @ SY1251 @ SY1252 )
                        | ( para @ ( sK23_P @ SY1254 @ SY1253 @ SY1252 @ SY1251 @ SV179 @ SV85 ) @ SY1253 @ SV179 @ SY1252 ) ) )
              | ~ ( ~ ( midp @ SY1253 @ SV85 @ SV179 )
                  | ~ ( midp @ SY1254 @ SY1251 @ SY1252 )
                  | ( para @ ( sK23_P @ SY1254 @ SY1253 @ SY1252 @ SY1251 @ SV179 @ SV85 ) @ SY1254 @ SV85 @ SY1251 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[499]) ).

thf(594,plain,
    ! [SV180: $i,SV86: $i] :
      ( ( ! [SY1255: $i,SY1256: $i] :
            ~ ( ~ ( ~ ( cong @ SY1255 @ SV86 @ SY1255 @ SV180 )
                  | ~ ( eqangle @ SV86 @ SY1255 @ SY1255 @ SY1256 @ SY1255 @ SY1256 @ SY1255 @ SV180 )
                  | ( coll @ SV180 @ SV86 @ ( sK27_M @ SY1256 @ SY1255 @ SV180 @ SV86 ) ) )
              | ~ ( ~ ( cong @ SY1255 @ SV86 @ SY1255 @ SV180 )
                  | ~ ( eqangle @ SV86 @ SY1255 @ SY1255 @ SY1256 @ SY1255 @ SY1256 @ SY1255 @ SV180 )
                  | ( coll @ ( sK27_M @ SY1256 @ SY1255 @ SV180 @ SV86 ) @ SY1255 @ SY1256 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[500]) ).

thf(595,plain,
    ! [SV181: $i,SV87: $i] :
      ( ( ! [SY1257: $i,SY1258: $i] :
            ~ ( ~ ( ~ ( cong @ SY1257 @ SV87 @ SY1257 @ SV181 )
                  | ~ ( perp @ SY1257 @ SY1258 @ SV87 @ SV181 )
                  | ( coll @ SV181 @ SV87 @ ( sK25_M @ SY1258 @ SY1257 @ SV181 @ SV87 ) ) )
              | ~ ( ~ ( cong @ SY1257 @ SV87 @ SY1257 @ SV181 )
                  | ~ ( perp @ SY1257 @ SY1258 @ SV87 @ SV181 )
                  | ( coll @ ( sK25_M @ SY1258 @ SY1257 @ SV181 @ SV87 ) @ SY1257 @ SY1258 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(596,plain,
    ! [SV182: $i,SV88: $i] :
      ( ( ! [SY1259: $i,SY1260: $i,SY1261: $i,SY1262: $i] :
            ~ ( ~ ( ~ ( midp @ SY1262 @ SV88 @ SV182 )
                  | ~ ( para @ SV88 @ SY1259 @ SY1261 @ SY1262 )
                  | ~ ( para @ SV88 @ SY1259 @ SV182 @ SY1260 )
                  | ~ ( coll @ SY1259 @ SY1260 @ SY1261 )
                  | ( coll @ ( sK21_X @ SY1262 @ SY1261 @ SY1260 @ SY1259 @ SV182 @ SV88 ) @ SV88 @ SY1260 ) )
              | ~ ( ~ ( midp @ SY1262 @ SV88 @ SV182 )
                  | ~ ( para @ SV88 @ SY1259 @ SY1261 @ SY1262 )
                  | ~ ( para @ SV88 @ SY1259 @ SV182 @ SY1260 )
                  | ~ ( coll @ SY1259 @ SY1260 @ SY1261 )
                  | ( coll @ ( sK21_X @ SY1262 @ SY1261 @ SY1260 @ SY1259 @ SV182 @ SV88 ) @ SY1262 @ SY1261 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[502]) ).

thf(597,plain,
    ! [SV183: $i,SV89: $i] :
      ( ( ! [SY1263: $i,SY1264: $i,SY1265: $i,SY1266: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY1265 = SY1266 )
                              | ~ ( circle @ SY1265 @ SV89 @ SV183 @ SY1263 )
                              | ~ ( cong @ SY1265 @ SV89 @ SY1265 @ SY1264 )
                              | ~ ( cong @ SY1266 @ SV89 @ SY1266 @ SV183 )
                              | ( coll @ ( sK15_P @ SY1266 @ SY1265 @ SY1264 @ SY1263 @ SV183 @ SV89 ) @ SV89 @ SY1263 ) )
                          | ~ ( ( SY1265 = SY1266 )
                              | ~ ( circle @ SY1265 @ SV89 @ SV183 @ SY1263 )
                              | ~ ( cong @ SY1265 @ SV89 @ SY1265 @ SY1264 )
                              | ~ ( cong @ SY1266 @ SV89 @ SY1266 @ SV183 )
                              | ( cong @ ( sK15_P @ SY1266 @ SY1265 @ SY1264 @ SY1263 @ SV183 @ SV89 ) @ SY1266 @ SY1266 @ SV89 ) ) )
                    | ~ ( ( SY1265 = SY1266 )
                        | ~ ( circle @ SY1265 @ SV89 @ SV183 @ SY1263 )
                        | ~ ( cong @ SY1265 @ SV89 @ SY1265 @ SY1264 )
                        | ~ ( cong @ SY1266 @ SV89 @ SY1266 @ SV183 )
                        | ( coll @ ( sK16_SY558 @ SY1266 @ SY1265 @ SY1264 @ SY1263 @ SV183 @ SV89 ) @ SV183 @ SY1264 ) ) )
              | ~ ( ( SY1265 = SY1266 )
                  | ~ ( circle @ SY1265 @ SV89 @ SV183 @ SY1263 )
                  | ~ ( cong @ SY1265 @ SV89 @ SY1265 @ SY1264 )
                  | ~ ( cong @ SY1266 @ SV89 @ SY1266 @ SV183 )
                  | ( cong @ ( sK16_SY558 @ SY1266 @ SY1265 @ SY1264 @ SY1263 @ SV183 @ SV89 ) @ SY1266 @ SY1266 @ SV89 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[503]) ).

thf(598,plain,
    ! [SV184: $i,SV90: $i] :
      ( ( ! [SY1267: $i,SY1268: $i,SY1269: $i] :
            ~ ( ~ ( ~ ( eqangle @ SV90 @ SY1267 @ SV184 @ SY1267 @ SV90 @ SY1268 @ SV184 @ SY1269 )
                  | ( coll @ SV90 @ SV184 @ SY1267 )
                  | ( cyclic @ SY1268 @ SV184 @ SY1267 @ ( sK24_Q @ SY1269 @ SY1268 @ SY1267 @ SV184 @ SV90 ) ) )
              | ~ ( ~ ( eqangle @ SV90 @ SY1267 @ SV184 @ SY1267 @ SV90 @ SY1268 @ SV184 @ SY1269 )
                  | ( coll @ SV90 @ SV184 @ SY1267 )
                  | ( eqangle @ SV90 @ SY1267 @ SV184 @ SY1267 @ SV90 @ ( sK24_Q @ SY1269 @ SY1268 @ SY1267 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SY1269 @ SY1268 @ SY1267 @ SV184 @ SV90 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[504]) ).

thf(599,plain,
    ! [SV91: $i,SV185: $i] :
      ( ( ! [SY1270: $i,SY1271: $i,SY1272: $i] :
            ~ ( ~ ( ~ ( coll @ SV185 @ SY1271 @ SY1272 )
                  | ~ ( perp @ SV91 @ SY1270 @ SY1270 @ SV185 )
                  | ( coll @ ( sK12_P @ SY1272 @ SY1271 @ SY1270 @ SV185 @ SV91 ) @ SY1271 @ SY1272 ) )
              | ~ ( ~ ( coll @ SV185 @ SY1271 @ SY1272 )
                  | ~ ( perp @ SV91 @ SY1270 @ SY1270 @ SV185 )
                  | ( perp @ ( sK12_P @ SY1272 @ SY1271 @ SY1270 @ SV185 @ SV91 ) @ SV91 @ SY1271 @ SY1272 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[505]) ).

thf(600,plain,
    ! [SV92: $i,SV186: $i] :
      ( ( ! [SY1273: $i,SY1274: $i] :
            ~ ( ~ ( ~ ( eqangle @ SY1274 @ SY1273 @ SV186 @ SY1273 @ SV186 @ SY1273 @ SV92 @ SY1273 )
                  | ~ ( perp @ SY1273 @ SV186 @ SV186 @ SV92 )
                  | ( coll @ ( sK28_B @ SY1274 @ SY1273 @ SV186 @ SV92 ) @ SV92 @ SV186 ) )
              | ~ ( ~ ( eqangle @ SY1274 @ SY1273 @ SV186 @ SY1273 @ SV186 @ SY1273 @ SV92 @ SY1273 )
                  | ~ ( perp @ SY1273 @ SV186 @ SV186 @ SV92 )
                  | ( coll @ ( sK28_B @ SY1274 @ SY1273 @ SV186 @ SV92 ) @ SY1273 @ SY1274 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[506]) ).

thf(601,plain,
    ! [SV187: $i,SV93: $i] :
      ( ( ! [SY1275: $i,SY1276: $i,SY1277: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( cong @ SY1277 @ SY1275 @ SY1277 @ SY1276 )
                        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1277 )
                        | ( cong @ SY1277 @ SY1275 @ SY1277 @ ( sK20_P @ SY1277 @ SY1276 @ SY1275 @ SV187 @ SV93 ) ) )
                    | ~ ( ~ ( cong @ SY1277 @ SY1275 @ SY1277 @ SY1276 )
                        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1277 )
                        | ( para @ ( sK20_P @ SY1277 @ SY1276 @ SY1275 @ SV187 @ SV93 ) @ SY1275 @ SV93 @ SV187 ) ) )
              | ~ ( ~ ( cong @ SY1277 @ SY1275 @ SY1277 @ SY1276 )
                  | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1277 )
                  | ( cong @ SV187 @ SY1275 @ SV187 @ ( sK20_P @ SY1277 @ SY1276 @ SY1275 @ SV187 @ SV93 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[507]) ).

thf(602,plain,
    ! [SV188: $i,SV94: $i] :
      ( ( ! [SY1278: $i,SY1279: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SY1279 @ SV188 @ SY1278 )
                              | ~ ( perp @ SV188 @ SY1279 @ SV94 @ SY1278 )
                              | ( coll @ ( sK18_P @ SY1279 @ SY1278 @ SV188 @ SV94 ) @ SY1278 @ SV188 ) )
                          | ~ ( ~ ( perp @ SV94 @ SY1279 @ SV188 @ SY1278 )
                              | ~ ( perp @ SV188 @ SY1279 @ SV94 @ SY1278 )
                              | ( perp @ SV94 @ ( sK18_P @ SY1279 @ SY1278 @ SV188 @ SV94 ) @ SY1278 @ SV188 ) ) )
                    | ~ ( ~ ( perp @ SV94 @ SY1279 @ SV188 @ SY1278 )
                        | ~ ( perp @ SV188 @ SY1279 @ SV94 @ SY1278 )
                        | ( coll @ ( sK19_SY559 @ SY1279 @ SY1278 @ SV188 @ SV94 ) @ SY1278 @ SV94 ) ) )
              | ~ ( ~ ( perp @ SV94 @ SY1279 @ SV188 @ SY1278 )
                  | ~ ( perp @ SV188 @ SY1279 @ SV94 @ SY1278 )
                  | ( perp @ SV188 @ ( sK19_SY559 @ SY1279 @ SY1278 @ SV188 @ SV94 ) @ SY1278 @ SV94 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[508]) ).

thf(603,plain,
    ! [SV189: $i,SV95: $i,SV1: $i] :
      ( ( ~ ( coll @ SV1 @ SV95 @ SV189 )
        | ( coll @ SV1 @ SV189 @ SV95 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[509]) ).

thf(604,plain,
    ! [SV190: $i,SV96: $i,SV2: $i] :
      ( ( ~ ( coll @ SV2 @ SV96 @ SV190 )
        | ( coll @ SV96 @ SV2 @ SV190 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[510]) ).

thf(605,plain,
    ! [SV191: $i,SV97: $i,SV3: $i] :
      ( ( ! [SY1280: $i] :
            ( ~ ( coll @ SV3 @ SV97 @ SV191 )
            | ~ ( coll @ SV3 @ SV97 @ SY1280 )
            | ( coll @ SV191 @ SY1280 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[511]) ).

thf(606,plain,
    ! [SV192: $i,SV98: $i,SV4: $i] :
      ( ( ! [SY1281: $i] :
            ( ~ ( para @ SV4 @ SV98 @ SV192 @ SY1281 )
            | ( para @ SV4 @ SV98 @ SY1281 @ SV192 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[512]) ).

thf(607,plain,
    ! [SV193: $i,SV99: $i,SV5: $i] :
      ( ( ! [SY1282: $i] :
            ( ~ ( para @ SV5 @ SV99 @ SV193 @ SY1282 )
            | ( para @ SV193 @ SY1282 @ SV5 @ SV99 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[513]) ).

thf(608,plain,
    ! [SV194: $i,SV100: $i,SV6: $i] :
      ( ( ! [SY1283: $i,SY1284: $i,SY1285: $i] :
            ( ~ ( para @ SV6 @ SV100 @ SV194 @ SY1283 )
            | ~ ( para @ SV194 @ SY1283 @ SY1284 @ SY1285 )
            | ( para @ SV6 @ SV100 @ SY1284 @ SY1285 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[514]) ).

thf(609,plain,
    ! [SV195: $i,SV101: $i,SV7: $i] :
      ( ( ! [SY1286: $i] :
            ( ~ ( perp @ SV7 @ SV101 @ SV195 @ SY1286 )
            | ( perp @ SV7 @ SV101 @ SY1286 @ SV195 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[515]) ).

thf(610,plain,
    ! [SV196: $i,SV102: $i,SV8: $i] :
      ( ( ! [SY1287: $i] :
            ( ~ ( perp @ SV8 @ SV102 @ SV196 @ SY1287 )
            | ( perp @ SV196 @ SY1287 @ SV8 @ SV102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[516]) ).

thf(611,plain,
    ! [SV197: $i,SV103: $i,SV9: $i] :
      ( ( ! [SY1288: $i,SY1289: $i,SY1290: $i] :
            ( ~ ( perp @ SV9 @ SV103 @ SV197 @ SY1288 )
            | ~ ( perp @ SV197 @ SY1288 @ SY1289 @ SY1290 )
            | ( para @ SV9 @ SV103 @ SY1289 @ SY1290 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[517]) ).

thf(612,plain,
    ! [SV198: $i,SV104: $i,SV10: $i] :
      ( ( ! [SY1291: $i,SY1292: $i,SY1293: $i] :
            ( ~ ( para @ SV10 @ SV104 @ SV198 @ SY1291 )
            | ~ ( perp @ SV198 @ SY1291 @ SY1292 @ SY1293 )
            | ( perp @ SV10 @ SV104 @ SY1292 @ SY1293 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[518]) ).

thf(613,plain,
    ! [SV11: $i,SV105: $i,SV199: $i] :
      ( ( ~ ( midp @ SV199 @ SV105 @ SV11 )
        | ( midp @ SV199 @ SV11 @ SV105 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[519]) ).

thf(614,plain,
    ! [SV200: $i,SV106: $i,SV12: $i] :
      ( ( ! [SY1294: $i] :
            ( ~ ( cong @ SY1294 @ SV12 @ SY1294 @ SV106 )
            | ~ ( cong @ SY1294 @ SV12 @ SY1294 @ SV200 )
            | ( circle @ SY1294 @ SV12 @ SV106 @ SV200 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[520]) ).

thf(615,plain,
    ! [SV201: $i,SV107: $i,SV13: $i] :
      ( ( ! [SY1295: $i] :
            ( ! [SY1296: $i] :
                ( ~ ( cong @ SY1296 @ SV13 @ SY1296 @ SV107 )
                | ~ ( cong @ SY1296 @ SV13 @ SY1296 @ SV201 )
                | ~ ( cong @ SY1296 @ SV13 @ SY1296 @ SY1295 ) )
            | ( cyclic @ SV13 @ SV107 @ SV201 @ SY1295 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[521]) ).

thf(616,plain,
    ! [SV202: $i,SV108: $i,SV14: $i] :
      ( ( ! [SY1297: $i] :
            ( ~ ( cyclic @ SV14 @ SV108 @ SV202 @ SY1297 )
            | ( cyclic @ SV14 @ SV108 @ SY1297 @ SV202 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[522]) ).

thf(617,plain,
    ! [SV203: $i,SV109: $i,SV15: $i] :
      ( ( ! [SY1298: $i] :
            ( ~ ( cyclic @ SV15 @ SV109 @ SV203 @ SY1298 )
            | ( cyclic @ SV15 @ SV203 @ SV109 @ SY1298 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[523]) ).

thf(618,plain,
    ! [SV204: $i,SV110: $i,SV16: $i] :
      ( ( ! [SY1299: $i] :
            ( ~ ( cyclic @ SV16 @ SV110 @ SV204 @ SY1299 )
            | ( cyclic @ SV110 @ SV16 @ SV204 @ SY1299 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[524]) ).

thf(619,plain,
    ! [SV205: $i,SV111: $i,SV17: $i] :
      ( ( ! [SY1300: $i,SY1301: $i] :
            ( ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SY1300 )
            | ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SY1301 )
            | ( cyclic @ SV111 @ SV205 @ SY1300 @ SY1301 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[525]) ).

thf(620,plain,
    ! [SV206: $i,SV112: $i,SV18: $i] :
      ( ( ! [SY1302: $i,SY1303: $i,SY1304: $i,SY1305: $i,SY1306: $i] :
            ( ~ ( eqangle @ SV18 @ SV112 @ SV206 @ SY1302 @ SY1303 @ SY1304 @ SY1305 @ SY1306 )
            | ( eqangle @ SV112 @ SV18 @ SV206 @ SY1302 @ SY1303 @ SY1304 @ SY1305 @ SY1306 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[526]) ).

thf(621,plain,
    ! [SV207: $i,SV113: $i,SV19: $i] :
      ( ( ! [SY1307: $i,SY1308: $i,SY1309: $i,SY1310: $i,SY1311: $i] :
            ( ~ ( eqangle @ SV19 @ SV113 @ SV207 @ SY1307 @ SY1308 @ SY1309 @ SY1310 @ SY1311 )
            | ( eqangle @ SV207 @ SY1307 @ SV19 @ SV113 @ SY1310 @ SY1311 @ SY1308 @ SY1309 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(622,plain,
    ! [SV208: $i,SV114: $i,SV20: $i] :
      ( ( ! [SY1312: $i,SY1313: $i,SY1314: $i,SY1315: $i,SY1316: $i] :
            ( ~ ( eqangle @ SV20 @ SV114 @ SV208 @ SY1312 @ SY1313 @ SY1314 @ SY1315 @ SY1316 )
            | ( eqangle @ SY1313 @ SY1314 @ SY1315 @ SY1316 @ SV20 @ SV114 @ SV208 @ SY1312 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[528]) ).

thf(623,plain,
    ! [SV209: $i,SV115: $i,SV21: $i] :
      ( ( ! [SY1317: $i,SY1318: $i,SY1319: $i,SY1320: $i,SY1321: $i] :
            ( ~ ( eqangle @ SV21 @ SV115 @ SV209 @ SY1317 @ SY1318 @ SY1319 @ SY1320 @ SY1321 )
            | ( eqangle @ SV21 @ SV115 @ SY1318 @ SY1319 @ SV209 @ SY1317 @ SY1320 @ SY1321 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[529]) ).

thf(624,plain,
    ! [SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1322: $i,SY1323: $i,SY1324: $i,SY1325: $i,SY1326: $i,SY1327: $i,SY1328: $i,SY1329: $i,SY1330: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SY1322 @ SY1323 @ SY1324 @ SY1325 @ SY1326 )
            | ~ ( eqangle @ SY1323 @ SY1324 @ SY1325 @ SY1326 @ SY1327 @ SY1328 @ SY1329 @ SY1330 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SY1322 @ SY1327 @ SY1328 @ SY1329 @ SY1330 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[530]) ).

thf(625,plain,
    ! [SV211: $i,SV117: $i,SV23: $i] :
      ( ( ! [SY1331: $i] :
            ( ~ ( cong @ SV23 @ SV117 @ SV211 @ SY1331 )
            | ( cong @ SV23 @ SV117 @ SY1331 @ SV211 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[531]) ).

thf(626,plain,
    ! [SV212: $i,SV118: $i,SV24: $i] :
      ( ( ! [SY1332: $i] :
            ( ~ ( cong @ SV24 @ SV118 @ SV212 @ SY1332 )
            | ( cong @ SV212 @ SY1332 @ SV24 @ SV118 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[532]) ).

thf(627,plain,
    ! [SV213: $i,SV119: $i,SV25: $i] :
      ( ( ! [SY1333: $i,SY1334: $i,SY1335: $i] :
            ( ~ ( cong @ SV25 @ SV119 @ SV213 @ SY1333 )
            | ~ ( cong @ SV213 @ SY1333 @ SY1334 @ SY1335 )
            | ( cong @ SV25 @ SV119 @ SY1334 @ SY1335 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[533]) ).

thf(628,plain,
    ! [SV214: $i,SV120: $i,SV26: $i] :
      ( ( ! [SY1336: $i,SY1337: $i,SY1338: $i,SY1339: $i,SY1340: $i] :
            ( ~ ( eqratio @ SV26 @ SV120 @ SV214 @ SY1336 @ SY1337 @ SY1338 @ SY1339 @ SY1340 )
            | ( eqratio @ SV120 @ SV26 @ SV214 @ SY1336 @ SY1337 @ SY1338 @ SY1339 @ SY1340 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[534]) ).

thf(629,plain,
    ! [SV215: $i,SV121: $i,SV27: $i] :
      ( ( ! [SY1341: $i,SY1342: $i,SY1343: $i,SY1344: $i,SY1345: $i] :
            ( ~ ( eqratio @ SV27 @ SV121 @ SV215 @ SY1341 @ SY1342 @ SY1343 @ SY1344 @ SY1345 )
            | ( eqratio @ SV215 @ SY1341 @ SV27 @ SV121 @ SY1344 @ SY1345 @ SY1342 @ SY1343 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[535]) ).

thf(630,plain,
    ! [SV216: $i,SV122: $i,SV28: $i] :
      ( ( ! [SY1346: $i,SY1347: $i,SY1348: $i,SY1349: $i,SY1350: $i] :
            ( ~ ( eqratio @ SV28 @ SV122 @ SV216 @ SY1346 @ SY1347 @ SY1348 @ SY1349 @ SY1350 )
            | ( eqratio @ SY1347 @ SY1348 @ SY1349 @ SY1350 @ SV28 @ SV122 @ SV216 @ SY1346 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[536]) ).

thf(631,plain,
    ! [SV217: $i,SV123: $i,SV29: $i] :
      ( ( ! [SY1351: $i,SY1352: $i,SY1353: $i,SY1354: $i,SY1355: $i] :
            ( ~ ( eqratio @ SV29 @ SV123 @ SV217 @ SY1351 @ SY1352 @ SY1353 @ SY1354 @ SY1355 )
            | ( eqratio @ SV29 @ SV123 @ SY1352 @ SY1353 @ SV217 @ SY1351 @ SY1354 @ SY1355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[537]) ).

thf(632,plain,
    ! [SV218: $i,SV124: $i,SV30: $i] :
      ( ( ! [SY1356: $i,SY1357: $i,SY1358: $i,SY1359: $i,SY1360: $i,SY1361: $i,SY1362: $i] :
            ( ! [SY1363: $i,SY1364: $i] :
                ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SY1356 @ SY1361 @ SY1362 @ SY1363 @ SY1364 )
                | ~ ( eqratio @ SY1361 @ SY1362 @ SY1363 @ SY1364 @ SY1357 @ SY1358 @ SY1359 @ SY1360 ) )
            | ( eqratio @ SV30 @ SV124 @ SV218 @ SY1356 @ SY1357 @ SY1358 @ SY1359 @ SY1360 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[538]) ).

thf(633,plain,
    ! [SV125: $i,SV219: $i,SV31: $i] :
      ( ( ! [SY1365: $i,SY1366: $i,SY1367: $i] :
            ( ~ ( simtri @ SV31 @ SV219 @ SV125 @ SY1365 @ SY1367 @ SY1366 )
            | ( simtri @ SV31 @ SV125 @ SV219 @ SY1365 @ SY1366 @ SY1367 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(634,plain,
    ! [SV220: $i,SV32: $i,SV126: $i] :
      ( ( ! [SY1368: $i,SY1369: $i,SY1370: $i] :
            ( ~ ( simtri @ SV126 @ SV32 @ SV220 @ SY1369 @ SY1368 @ SY1370 )
            | ( simtri @ SV32 @ SV126 @ SV220 @ SY1368 @ SY1369 @ SY1370 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[540]) ).

thf(635,plain,
    ! [SV221: $i,SV127: $i,SV33: $i] :
      ( ( ! [SY1371: $i,SY1372: $i,SY1373: $i] :
            ( ~ ( simtri @ SY1371 @ SY1372 @ SY1373 @ SV33 @ SV127 @ SV221 )
            | ( simtri @ SV33 @ SV127 @ SV221 @ SY1371 @ SY1372 @ SY1373 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[541]) ).

thf(636,plain,
    ! [SV222: $i,SV128: $i,SV34: $i] :
      ( ( ! [SY1374: $i,SY1375: $i,SY1376: $i,SY1377: $i,SY1378: $i,SY1379: $i] :
            ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SY1374 @ SY1375 @ SY1376 )
            | ~ ( simtri @ SY1374 @ SY1375 @ SY1376 @ SY1377 @ SY1378 @ SY1379 )
            | ( simtri @ SV34 @ SV128 @ SV222 @ SY1377 @ SY1378 @ SY1379 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[542]) ).

thf(637,plain,
    ! [SV129: $i,SV223: $i,SV35: $i] :
      ( ( ! [SY1380: $i,SY1381: $i,SY1382: $i] :
            ( ~ ( contri @ SV35 @ SV223 @ SV129 @ SY1380 @ SY1382 @ SY1381 )
            | ( contri @ SV35 @ SV129 @ SV223 @ SY1380 @ SY1381 @ SY1382 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(638,plain,
    ! [SV224: $i,SV36: $i,SV130: $i] :
      ( ( ! [SY1383: $i,SY1384: $i,SY1385: $i] :
            ( ~ ( contri @ SV130 @ SV36 @ SV224 @ SY1384 @ SY1383 @ SY1385 )
            | ( contri @ SV36 @ SV130 @ SV224 @ SY1383 @ SY1384 @ SY1385 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[544]) ).

thf(639,plain,
    ! [SV225: $i,SV131: $i,SV37: $i] :
      ( ( ! [SY1386: $i,SY1387: $i,SY1388: $i] :
            ( ~ ( contri @ SY1386 @ SY1387 @ SY1388 @ SV37 @ SV131 @ SV225 )
            | ( contri @ SV37 @ SV131 @ SV225 @ SY1386 @ SY1387 @ SY1388 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[545]) ).

thf(640,plain,
    ! [SV226: $i,SV132: $i,SV38: $i] :
      ( ( ! [SY1389: $i,SY1390: $i,SY1391: $i,SY1392: $i,SY1393: $i,SY1394: $i] :
            ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SY1389 @ SY1390 @ SY1391 )
            | ~ ( contri @ SY1389 @ SY1390 @ SY1391 @ SY1392 @ SY1393 @ SY1394 )
            | ( contri @ SV38 @ SV132 @ SV226 @ SY1392 @ SY1393 @ SY1394 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[546]) ).

thf(641,plain,
    ! [SV227: $i,SV133: $i,SV39: $i] :
      ( ( ! [SY1395: $i] :
            ( ! [SY1396: $i,SY1397: $i] :
                ~ ( eqangle @ SV39 @ SV133 @ SY1396 @ SY1397 @ SV227 @ SY1395 @ SY1396 @ SY1397 )
            | ( para @ SV39 @ SV133 @ SV227 @ SY1395 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[547]) ).

thf(642,plain,
    ! [SV228: $i,SV134: $i,SV40: $i] :
      ( ( ! [SY1398: $i] :
            ( ~ ( para @ SV40 @ SV134 @ SV228 @ SY1398 )
            | ! [SY1399: $i,SY1400: $i] : ( eqangle @ SV40 @ SV134 @ SY1399 @ SY1400 @ SV228 @ SY1398 @ SY1399 @ SY1400 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[548]) ).

thf(643,plain,
    ! [SV229: $i,SV135: $i,SV41: $i] :
      ( ( ! [SY1401: $i] :
            ( ~ ( cyclic @ SV41 @ SV135 @ SV229 @ SY1401 )
            | ( eqangle @ SV229 @ SV41 @ SV229 @ SV135 @ SY1401 @ SV41 @ SY1401 @ SV135 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[549]) ).

thf(644,plain,
    ! [SV136: $i,SV42: $i,SV230: $i] :
      ( ( ! [SY1402: $i] :
            ( ~ ( eqangle @ SV230 @ SV42 @ SV230 @ SV136 @ SY1402 @ SV42 @ SY1402 @ SV136 )
            | ( coll @ SV230 @ SY1402 @ SV42 )
            | ( cyclic @ SV42 @ SV136 @ SV230 @ SY1402 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[550]) ).

thf(645,plain,
    ! [SV43: $i,SV137: $i,SV231: $i] :
      ( ( ! [SY1403: $i] :
            ( ~ ( coll @ SV231 @ SY1403 @ SV137 )
            | ~ ( eqangle @ SV231 @ SV43 @ SV231 @ SV137 @ SY1403 @ SV43 @ SY1403 @ SV137 )
            | ( cyclic @ SV43 @ SV137 @ SV231 @ SY1403 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[551]) ).

thf(646,plain,
    ! [SV232: $i,SV138: $i,SV44: $i] :
      ( ( ! [SY1404: $i,SY1405: $i] :
            ( ! [SY1406: $i] :
                ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SY1404 )
                | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SY1405 )
                | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SY1406 )
                | ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SY1406 @ SY1404 @ SY1406 @ SY1405 ) )
            | ( cong @ SV44 @ SV138 @ SY1404 @ SY1405 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[552]) ).

thf(647,plain,
    ! [SV233: $i,SV139: $i,SV45: $i] :
      ( ( ! [SY1407: $i,SY1408: $i] :
            ( ~ ( midp @ SY1407 @ SV45 @ SV139 )
            | ~ ( midp @ SY1408 @ SV45 @ SV233 )
            | ( para @ SY1407 @ SY1408 @ SV139 @ SV233 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(648,plain,
    ! [SV234: $i,SV140: $i,SV46: $i] :
      ( ( ! [SY1409: $i,SY1410: $i] :
            ( ~ ( midp @ SY1409 @ SV46 @ SV140 )
            | ~ ( para @ SY1409 @ SY1410 @ SV140 @ SV234 )
            | ~ ( coll @ SY1410 @ SV46 @ SV234 )
            | ( midp @ SY1410 @ SV46 @ SV234 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(649,plain,
    ! [SV141: $i,SV47: $i,SV235: $i] :
      ( ( ~ ( cong @ SV235 @ SV47 @ SV235 @ SV141 )
        | ( eqangle @ SV235 @ SV47 @ SV47 @ SV141 @ SV47 @ SV141 @ SV235 @ SV141 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(650,plain,
    ! [SV142: $i,SV48: $i,SV236: $i] :
      ( ( ~ ( eqangle @ SV236 @ SV48 @ SV48 @ SV142 @ SV48 @ SV142 @ SV236 @ SV142 )
        | ( coll @ SV236 @ SV48 @ SV142 )
        | ( cong @ SV236 @ SV48 @ SV236 @ SV142 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[556]) ).

thf(651,plain,
    ! [SV237: $i,SV143: $i,SV49: $i] :
      ( ( ! [SY1411: $i,SY1412: $i] :
            ( ~ ( circle @ SY1411 @ SV49 @ SV143 @ SV237 )
            | ~ ( perp @ SY1411 @ SV49 @ SV49 @ SY1412 )
            | ( eqangle @ SV49 @ SY1412 @ SV49 @ SV143 @ SV237 @ SV49 @ SV237 @ SV143 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(652,plain,
    ! [SV238: $i,SV144: $i,SV50: $i] :
      ( ( ! [SY1413: $i,SY1414: $i] :
            ( ~ ( circle @ SY1413 @ SV50 @ SV144 @ SV238 )
            | ~ ( eqangle @ SV50 @ SY1414 @ SV50 @ SV144 @ SV238 @ SV50 @ SV238 @ SV144 )
            | ( perp @ SY1413 @ SV50 @ SV50 @ SY1414 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[558]) ).

thf(653,plain,
    ! [SV239: $i,SV145: $i,SV51: $i] :
      ( ( ! [SY1415: $i,SY1416: $i] :
            ( ~ ( circle @ SY1415 @ SV51 @ SV145 @ SV239 )
            | ~ ( midp @ SY1416 @ SV145 @ SV239 )
            | ( eqangle @ SV51 @ SV145 @ SV51 @ SV239 @ SY1415 @ SV145 @ SY1415 @ SY1416 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[559]) ).

thf(654,plain,
    ! [SV240: $i,SV146: $i,SV52: $i] :
      ( ( ! [SY1417: $i,SY1418: $i] :
            ( ~ ( circle @ SY1417 @ SV52 @ SV146 @ SV240 )
            | ~ ( coll @ SY1418 @ SV146 @ SV240 )
            | ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SY1417 @ SV146 @ SY1417 @ SY1418 )
            | ( midp @ SY1418 @ SV146 @ SV240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(655,plain,
    ! [SV147: $i,SV241: $i,SV53: $i] :
      ( ( ! [SY1419: $i] :
            ( ~ ( midp @ SY1419 @ SV53 @ SV241 )
            | ~ ( perp @ SV53 @ SV147 @ SV147 @ SV241 )
            | ( cong @ SV53 @ SY1419 @ SV147 @ SY1419 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[561]) ).

thf(656,plain,
    ! [SV242: $i,SV148: $i,SV54: $i] :
      ( ( ! [SY1420: $i] :
            ( ~ ( circle @ SY1420 @ SV54 @ SV148 @ SV242 )
            | ~ ( coll @ SY1420 @ SV54 @ SV242 ) )
        | ( perp @ SV54 @ SV148 @ SV148 @ SV242 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[562]) ).

thf(657,plain,
    ! [SV243: $i,SV149: $i,SV55: $i] :
      ( ( ! [SY1421: $i] :
            ( ~ ( cyclic @ SV55 @ SV149 @ SV243 @ SY1421 )
            | ~ ( para @ SV55 @ SV149 @ SV243 @ SY1421 )
            | ( eqangle @ SV55 @ SY1421 @ SV243 @ SY1421 @ SV243 @ SY1421 @ SV243 @ SV149 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[563]) ).

thf(658,plain,
    ! [SV150: $i,SV56: $i,SV244: $i] :
      ( ( ! [SY1422: $i] :
            ( ~ ( midp @ SV244 @ SV56 @ SV150 )
            | ~ ( perp @ SY1422 @ SV244 @ SV56 @ SV150 )
            | ( cong @ SY1422 @ SV56 @ SY1422 @ SV150 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(659,plain,
    ! [SV151: $i,SV245: $i,SV57: $i] :
      ( ( ! [SY1423: $i] :
            ( ~ ( cong @ SV57 @ SV245 @ SV151 @ SV245 )
            | ~ ( cong @ SV57 @ SY1423 @ SV151 @ SY1423 )
            | ( perp @ SV57 @ SV151 @ SV245 @ SY1423 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[565]) ).

thf(660,plain,
    ! [SV152: $i,SV246: $i,SV58: $i] :
      ( ( ! [SY1424: $i] :
            ( ~ ( cong @ SV58 @ SV246 @ SV152 @ SV246 )
            | ~ ( cong @ SV58 @ SY1424 @ SV152 @ SY1424 )
            | ~ ( cyclic @ SV58 @ SV152 @ SV246 @ SY1424 )
            | ( perp @ SV246 @ SV58 @ SV58 @ SY1424 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[566]) ).

thf(661,plain,
    ! [SV247: $i,SV153: $i,SV59: $i] :
      ( ( ! [SY1425: $i,SY1426: $i,SY1427: $i] :
            ( ~ ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SY1425 @ SY1426 @ SY1426 @ SY1427 )
            | ~ ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SY1425 @ SY1427 @ SY1426 @ SY1427 )
            | ( coll @ SV59 @ SV153 @ SV247 )
            | ( simtri @ SV59 @ SV153 @ SV247 @ SY1425 @ SY1426 @ SY1427 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[567]) ).

thf(662,plain,
    ! [SV248: $i,SV154: $i,SV60: $i] :
      ( ( ! [SY1428: $i,SY1429: $i,SY1430: $i] :
            ( ~ ( simtri @ SV60 @ SV154 @ SV248 @ SY1428 @ SY1429 @ SY1430 )
            | ( eqratio @ SV60 @ SV154 @ SV60 @ SV248 @ SY1428 @ SY1429 @ SY1428 @ SY1430 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(663,plain,
    ! [SV249: $i,SV155: $i,SV61: $i] :
      ( ( ! [SY1431: $i,SY1432: $i,SY1433: $i] :
            ( ~ ( simtri @ SV61 @ SV155 @ SV249 @ SY1431 @ SY1432 @ SY1433 )
            | ( eqangle @ SV61 @ SV155 @ SV155 @ SV249 @ SY1431 @ SY1432 @ SY1432 @ SY1433 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[569]) ).

thf(664,plain,
    ! [SV250: $i,SV156: $i,SV62: $i] :
      ( ( ! [SY1434: $i,SY1435: $i,SY1436: $i] :
            ( ~ ( cong @ SV62 @ SV156 @ SY1434 @ SY1435 )
            | ~ ( simtri @ SV62 @ SV156 @ SV250 @ SY1434 @ SY1435 @ SY1436 )
            | ( contri @ SV62 @ SV156 @ SV250 @ SY1434 @ SY1435 @ SY1436 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[570]) ).

thf(665,plain,
    ! [SV251: $i,SV157: $i,SV63: $i] :
      ( ( ! [SY1437: $i,SY1438: $i] :
            ( ! [SY1439: $i] :
                ~ ( contri @ SV63 @ SV157 @ SV251 @ SY1437 @ SY1438 @ SY1439 )
            | ( cong @ SV63 @ SV157 @ SY1437 @ SY1438 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[571]) ).

thf(666,plain,
    ! [SV252: $i,SV158: $i,SV64: $i] :
      ( ( ! [SY1440: $i] :
            ( ! [SY1441: $i] :
                ( ~ ( midp @ SY1441 @ SV64 @ SV158 )
                | ~ ( midp @ SY1441 @ SV252 @ SY1440 ) )
            | ( para @ SV64 @ SV252 @ SV158 @ SY1440 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[572]) ).

thf(667,plain,
    ! [SV253: $i,SV159: $i,SV65: $i] :
      ( ( ! [SY1442: $i,SY1443: $i] :
            ( ~ ( midp @ SY1443 @ SV65 @ SV159 )
            | ~ ( para @ SV65 @ SV253 @ SV159 @ SY1442 )
            | ~ ( para @ SV65 @ SY1442 @ SV159 @ SV253 )
            | ( midp @ SY1443 @ SV253 @ SY1442 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[573]) ).

thf(668,plain,
    ! [SV160: $i,SV254: $i,SV66: $i] :
      ( ( ! [SY1444: $i,SY1445: $i] :
            ( ~ ( coll @ SY1445 @ SV66 @ SV254 )
            | ~ ( para @ SV66 @ SV160 @ SV254 @ SY1444 )
            | ~ ( coll @ SY1445 @ SV160 @ SY1444 )
            | ( eqratio @ SY1445 @ SV66 @ SV66 @ SV254 @ SY1445 @ SV160 @ SV160 @ SY1444 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[574]) ).

thf(669,plain,
    ! [SV255: $i,SV161: $i,SV67: $i] :
      ( ( ~ ( para @ SV67 @ SV161 @ SV67 @ SV255 )
        | ( coll @ SV67 @ SV161 @ SV255 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[575]) ).

thf(670,plain,
    ! [SV256: $i,SV162: $i,SV68: $i] :
      ( ( ~ ( coll @ SV68 @ SV162 @ SV256 )
        | ~ ( cong @ SV68 @ SV162 @ SV68 @ SV256 )
        | ( midp @ SV68 @ SV162 @ SV256 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[576]) ).

thf(671,plain,
    ! [SV257: $i,SV163: $i,SV69: $i] :
      ( ( ~ ( midp @ SV69 @ SV163 @ SV257 )
        | ( cong @ SV69 @ SV163 @ SV69 @ SV257 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[577]) ).

thf(672,plain,
    ! [SV258: $i,SV164: $i,SV70: $i] :
      ( ( ~ ( midp @ SV70 @ SV164 @ SV258 )
        | ( coll @ SV70 @ SV164 @ SV258 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[578]) ).

thf(673,plain,
    ! [SV259: $i,SV165: $i,SV71: $i] :
      ( ( ! [SY1446: $i,SY1447: $i,SY1448: $i] :
            ( ~ ( midp @ SY1447 @ SV71 @ SV165 )
            | ~ ( midp @ SY1448 @ SV259 @ SY1446 )
            | ( eqratio @ SY1447 @ SV71 @ SV71 @ SV165 @ SY1448 @ SV259 @ SV259 @ SY1446 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[579]) ).

thf(674,plain,
    ! [SV260: $i,SV166: $i,SV72: $i] :
      ( ( ! [SY1449: $i] :
            ( ~ ( eqangle @ SV72 @ SV166 @ SV260 @ SY1449 @ SV260 @ SY1449 @ SV72 @ SV166 )
            | ( para @ SV72 @ SV166 @ SV260 @ SY1449 )
            | ( perp @ SV72 @ SV166 @ SV260 @ SY1449 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[580]) ).

thf(675,plain,
    ! [SV261: $i,SV167: $i,SV73: $i] :
      ( ( ! [SY1450: $i] :
            ( ~ ( eqangle @ SV73 @ SV167 @ SV261 @ SY1450 @ SV261 @ SY1450 @ SV73 @ SV167 )
            | ( perp @ SV73 @ SV167 @ SV261 @ SY1450 )
            | ( para @ SV73 @ SV167 @ SV261 @ SY1450 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[581]) ).

thf(676,plain,
    ! [SV262: $i,SV168: $i,SV74: $i] :
      ( ( ! [SY1451: $i,SY1452: $i,SY1453: $i] :
            ( ! [SY1454: $i,SY1455: $i] :
                ( ~ ( eqangle @ SV74 @ SV168 @ SV262 @ SY1451 @ SY1452 @ SY1453 @ SY1454 @ SY1455 )
                | ~ ( para @ SY1452 @ SY1453 @ SY1454 @ SY1455 ) )
            | ( para @ SV74 @ SV168 @ SV262 @ SY1451 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[582]) ).

thf(677,plain,
    ! [SV263: $i,SV169: $i,SV75: $i] :
      ( ( ! [SY1456: $i,SY1457: $i,SY1458: $i] :
            ( ! [SY1459: $i,SY1460: $i] :
                ( ~ ( eqangle @ SV75 @ SV169 @ SV263 @ SY1456 @ SY1457 @ SY1458 @ SY1459 @ SY1460 )
                | ~ ( perp @ SY1457 @ SY1458 @ SY1459 @ SY1460 ) )
            | ( perp @ SV75 @ SV169 @ SV263 @ SY1456 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[583]) ).

thf(678,plain,
    ! [SV264: $i,SV170: $i,SV76: $i] :
      ( ( ! [SY1461: $i,SY1462: $i,SY1463: $i] :
            ( ! [SY1464: $i,SY1465: $i] :
                ( ~ ( cong @ SY1462 @ SY1463 @ SY1464 @ SY1465 )
                | ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SY1461 @ SY1462 @ SY1463 @ SY1464 @ SY1465 ) )
            | ( cong @ SV76 @ SV170 @ SV264 @ SY1461 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[584]) ).

thf(679,plain,
    ! [SV265: $i,SV171: $i,SV77: $i] :
      ( ( ! [SY1466: $i,SY1467: $i,SY1468: $i] :
            ( ~ ( midp @ SY1467 @ SV77 @ SV171 )
            | ~ ( midp @ SY1468 @ SV265 @ SY1466 )
            | ~ ( coll @ SV265 @ SV77 @ SV171 )
            | ~ ( coll @ SY1466 @ SV77 @ SV171 )
            | ! [SY1469: $i] : ( midp @ ( sK22_P @ SY1469 @ SY1468 @ SY1467 @ SY1466 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1469 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[585]) ).

thf(680,plain,
    ! [SV266: $i,SV172: $i,SV78: $i] :
      ( ( ! [SY1470: $i] :
            ( ~ ( circle @ SY1470 @ SV78 @ SV172 @ SV266 )
            | ( perp @ ( sK17_P @ SY1470 @ SV266 @ SV172 @ SV78 ) @ SV78 @ SV78 @ SY1470 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[586]) ).

thf(681,plain,
    ! [SV267: $i,SV173: $i,SV79: $i] :
      ( ( ! [SY1471: $i] :
            ( ~ ( cyclic @ SV79 @ SV173 @ SV267 @ SY1471 )
            | ~ ( para @ SV79 @ SV173 @ SV267 @ SY1471 )
            | ! [SY1238: $i] :
                ~ ( midp @ SY1238 @ SV79 @ SV173 )
            | ( circle @ ( sK14_O @ SY1471 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[587]) ).

thf(682,plain,
    ! [SV268: $i,SV174: $i,SV80: $i] :
      ( ( ! [SY1473: $i] :
            ~ ( cyclic @ SV80 @ SV174 @ SV268 @ SY1473 )
        | ~ ( perp @ SV80 @ SV268 @ SV268 @ SV174 )
        | ( circle @ ( sK13_O @ SV268 @ SV174 @ SV80 ) @ SV80 @ SV174 @ SV268 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[588]) ).

thf(683,plain,
    ! [SV269: $i,SV175: $i,SV81: $i] :
      ( ( ! [SY1474: $i] :
            ( ~ ( perp @ SV81 @ SV175 @ SV81 @ SV269 )
            | ~ ( perp @ SV269 @ SV81 @ SV269 @ SY1474 )
            | ! [SY1243: $i] :
                ~ ( midp @ SY1243 @ SV175 @ SY1474 )
            | ( midp @ ( sK11_P @ SY1474 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[589]) ).

thf(684,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ~ ( ~ ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
                | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
                | ( coll @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) ) )
            | ~ ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
                | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
                | ( cong @ SV270 @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[590]) ).

thf(685,plain,
    ! [SV177: $i,SV271: $i,SV83: $i] :
      ( ( ! [SY1476: $i,SY1477: $i,SY1478: $i] :
            ~ ( ~ ( ~ ( coll @ SY1477 @ SV83 @ SV271 )
                  | ~ ( para @ SV83 @ SV177 @ SV271 @ SY1476 )
                  | ~ ( coll @ SY1477 @ SV177 @ SY1476 )
                  | ~ ( coll @ SY1478 @ SV83 @ SV177 )
                  | ( coll @ SY1477 @ SY1478 @ ( sK9_R @ SY1478 @ SY1477 @ SY1476 @ SV271 @ SV177 @ SV83 ) ) )
              | ~ ( ~ ( coll @ SY1477 @ SV83 @ SV271 )
                  | ~ ( para @ SV83 @ SV177 @ SV271 @ SY1476 )
                  | ~ ( coll @ SY1477 @ SV177 @ SY1476 )
                  | ~ ( coll @ SY1478 @ SV83 @ SV177 )
                  | ( coll @ ( sK9_R @ SY1478 @ SY1477 @ SY1476 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SY1476 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[591]) ).

thf(686,plain,
    ! [SV178: $i,SV272: $i,SV84: $i] :
      ( ( ! [SY1479: $i] :
            ~ ( ~ ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SY1479 @ SV272 @ SY1479 @ SV272 @ SV178 )
                  | ~ ( perp @ SV272 @ SY1479 @ SV84 @ SV178 )
                  | ( coll @ SV178 @ SV84 @ ( sK26_M @ SY1479 @ SV272 @ SV178 @ SV84 ) ) )
              | ~ ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SY1479 @ SV272 @ SY1479 @ SV272 @ SV178 )
                  | ~ ( perp @ SV272 @ SY1479 @ SV84 @ SV178 )
                  | ( coll @ ( sK26_M @ SY1479 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SY1479 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[592]) ).

thf(687,plain,
    ! [SV273: $i,SV179: $i,SV85: $i] :
      ( ( ! [SY1480: $i,SY1481: $i,SY1482: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( midp @ SY1481 @ SV85 @ SV179 )
                        | ~ ( midp @ SY1482 @ SV273 @ SY1480 )
                        | ( midp @ ( sK23_P @ SY1482 @ SY1481 @ SY1480 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SY1480 ) )
                    | ~ ( ~ ( midp @ SY1481 @ SV85 @ SV179 )
                        | ~ ( midp @ SY1482 @ SV273 @ SY1480 )
                        | ( para @ ( sK23_P @ SY1482 @ SY1481 @ SY1480 @ SV273 @ SV179 @ SV85 ) @ SY1481 @ SV179 @ SY1480 ) ) )
              | ~ ( ~ ( midp @ SY1481 @ SV85 @ SV179 )
                  | ~ ( midp @ SY1482 @ SV273 @ SY1480 )
                  | ( para @ ( sK23_P @ SY1482 @ SY1481 @ SY1480 @ SV273 @ SV179 @ SV85 ) @ SY1482 @ SV85 @ SV273 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[593]) ).

thf(688,plain,
    ! [SV180: $i,SV86: $i,SV274: $i] :
      ( ( ! [SY1483: $i] :
            ~ ( ~ ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
                  | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SY1483 @ SV274 @ SY1483 @ SV274 @ SV180 )
                  | ( coll @ SV180 @ SV86 @ ( sK27_M @ SY1483 @ SV274 @ SV180 @ SV86 ) ) )
              | ~ ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
                  | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SY1483 @ SV274 @ SY1483 @ SV274 @ SV180 )
                  | ( coll @ ( sK27_M @ SY1483 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SY1483 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[594]) ).

thf(689,plain,
    ! [SV181: $i,SV87: $i,SV275: $i] :
      ( ( ! [SY1484: $i] :
            ~ ( ~ ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
                  | ~ ( perp @ SV275 @ SY1484 @ SV87 @ SV181 )
                  | ( coll @ SV181 @ SV87 @ ( sK25_M @ SY1484 @ SV275 @ SV181 @ SV87 ) ) )
              | ~ ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
                  | ~ ( perp @ SV275 @ SY1484 @ SV87 @ SV181 )
                  | ( coll @ ( sK25_M @ SY1484 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SY1484 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[595]) ).

thf(690,plain,
    ! [SV276: $i,SV182: $i,SV88: $i] :
      ( ( ! [SY1485: $i,SY1486: $i,SY1487: $i] :
            ~ ( ~ ( ~ ( midp @ SY1487 @ SV88 @ SV182 )
                  | ~ ( para @ SV88 @ SV276 @ SY1486 @ SY1487 )
                  | ~ ( para @ SV88 @ SV276 @ SV182 @ SY1485 )
                  | ~ ( coll @ SV276 @ SY1485 @ SY1486 )
                  | ( coll @ ( sK21_X @ SY1487 @ SY1486 @ SY1485 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SY1485 ) )
              | ~ ( ~ ( midp @ SY1487 @ SV88 @ SV182 )
                  | ~ ( para @ SV88 @ SV276 @ SY1486 @ SY1487 )
                  | ~ ( para @ SV88 @ SV276 @ SV182 @ SY1485 )
                  | ~ ( coll @ SV276 @ SY1485 @ SY1486 )
                  | ( coll @ ( sK21_X @ SY1487 @ SY1486 @ SY1485 @ SV276 @ SV182 @ SV88 ) @ SY1487 @ SY1486 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[596]) ).

thf(691,plain,
    ! [SV277: $i,SV183: $i,SV89: $i] :
      ( ( ! [SY1488: $i,SY1489: $i,SY1490: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY1489 = SY1490 )
                              | ~ ( circle @ SY1489 @ SV89 @ SV183 @ SV277 )
                              | ~ ( cong @ SY1489 @ SV89 @ SY1489 @ SY1488 )
                              | ~ ( cong @ SY1490 @ SV89 @ SY1490 @ SV183 )
                              | ( coll @ ( sK15_P @ SY1490 @ SY1489 @ SY1488 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
                          | ~ ( ( SY1489 = SY1490 )
                              | ~ ( circle @ SY1489 @ SV89 @ SV183 @ SV277 )
                              | ~ ( cong @ SY1489 @ SV89 @ SY1489 @ SY1488 )
                              | ~ ( cong @ SY1490 @ SV89 @ SY1490 @ SV183 )
                              | ( cong @ ( sK15_P @ SY1490 @ SY1489 @ SY1488 @ SV277 @ SV183 @ SV89 ) @ SY1490 @ SY1490 @ SV89 ) ) )
                    | ~ ( ( SY1489 = SY1490 )
                        | ~ ( circle @ SY1489 @ SV89 @ SV183 @ SV277 )
                        | ~ ( cong @ SY1489 @ SV89 @ SY1489 @ SY1488 )
                        | ~ ( cong @ SY1490 @ SV89 @ SY1490 @ SV183 )
                        | ( coll @ ( sK16_SY558 @ SY1490 @ SY1489 @ SY1488 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SY1488 ) ) )
              | ~ ( ( SY1489 = SY1490 )
                  | ~ ( circle @ SY1489 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SY1489 @ SV89 @ SY1489 @ SY1488 )
                  | ~ ( cong @ SY1490 @ SV89 @ SY1490 @ SV183 )
                  | ( cong @ ( sK16_SY558 @ SY1490 @ SY1489 @ SY1488 @ SV277 @ SV183 @ SV89 ) @ SY1490 @ SY1490 @ SV89 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[597]) ).

thf(692,plain,
    ! [SV184: $i,SV278: $i,SV90: $i] :
      ( ( ! [SY1491: $i,SY1492: $i] :
            ~ ( ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SY1491 @ SV184 @ SY1492 )
                  | ( coll @ SV90 @ SV184 @ SV278 )
                  | ( cyclic @ SY1491 @ SV184 @ SV278 @ ( sK24_Q @ SY1492 @ SY1491 @ SV278 @ SV184 @ SV90 ) ) )
              | ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SY1491 @ SV184 @ SY1492 )
                  | ( coll @ SV90 @ SV184 @ SV278 )
                  | ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SY1492 @ SY1491 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SY1492 @ SY1491 @ SV278 @ SV184 @ SV90 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[598]) ).

thf(693,plain,
    ! [SV279: $i,SV91: $i,SV185: $i] :
      ( ( ! [SY1493: $i,SY1494: $i] :
            ~ ( ~ ( ~ ( coll @ SV185 @ SY1493 @ SY1494 )
                  | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
                  | ( coll @ ( sK12_P @ SY1494 @ SY1493 @ SV279 @ SV185 @ SV91 ) @ SY1493 @ SY1494 ) )
              | ~ ( ~ ( coll @ SV185 @ SY1493 @ SY1494 )
                  | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
                  | ( perp @ ( sK12_P @ SY1494 @ SY1493 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SY1493 @ SY1494 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[599]) ).

thf(694,plain,
    ! [SV92: $i,SV186: $i,SV280: $i] :
      ( ( ! [SY1495: $i] :
            ~ ( ~ ( ~ ( eqangle @ SY1495 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
                  | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
                  | ( coll @ ( sK28_B @ SY1495 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 ) )
              | ~ ( ~ ( eqangle @ SY1495 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
                  | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
                  | ( coll @ ( sK28_B @ SY1495 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SY1495 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[600]) ).

thf(695,plain,
    ! [SV187: $i,SV93: $i,SV281: $i] :
      ( ( ! [SY1496: $i,SY1497: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( cong @ SY1497 @ SV281 @ SY1497 @ SY1496 )
                        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1497 )
                        | ( cong @ SY1497 @ SV281 @ SY1497 @ ( sK20_P @ SY1497 @ SY1496 @ SV281 @ SV187 @ SV93 ) ) )
                    | ~ ( ~ ( cong @ SY1497 @ SV281 @ SY1497 @ SY1496 )
                        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1497 )
                        | ( para @ ( sK20_P @ SY1497 @ SY1496 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) ) )
              | ~ ( ~ ( cong @ SY1497 @ SV281 @ SY1497 @ SY1496 )
                  | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1497 )
                  | ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SY1497 @ SY1496 @ SV281 @ SV187 @ SV93 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[601]) ).

thf(696,plain,
    ! [SV282: $i,SV188: $i,SV94: $i] :
      ( ( ! [SY1498: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SY1498 @ SV188 @ SV282 )
                              | ~ ( perp @ SV188 @ SY1498 @ SV94 @ SV282 )
                              | ( coll @ ( sK18_P @ SY1498 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
                          | ~ ( ~ ( perp @ SV94 @ SY1498 @ SV188 @ SV282 )
                              | ~ ( perp @ SV188 @ SY1498 @ SV94 @ SV282 )
                              | ( perp @ SV94 @ ( sK18_P @ SY1498 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
                    | ~ ( ~ ( perp @ SV94 @ SY1498 @ SV188 @ SV282 )
                        | ~ ( perp @ SV188 @ SY1498 @ SV94 @ SV282 )
                        | ( coll @ ( sK19_SY559 @ SY1498 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) )
              | ~ ( ~ ( perp @ SV94 @ SY1498 @ SV188 @ SV282 )
                  | ~ ( perp @ SV188 @ SY1498 @ SV94 @ SV282 )
                  | ( perp @ SV188 @ ( sK19_SY559 @ SY1498 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[602]) ).

thf(697,plain,
    ! [SV189: $i,SV95: $i,SV1: $i] :
      ( ( ( ~ ( coll @ SV1 @ SV95 @ SV189 ) )
        = $true )
      | ( ( coll @ SV1 @ SV189 @ SV95 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[603]) ).

thf(698,plain,
    ! [SV190: $i,SV96: $i,SV2: $i] :
      ( ( ( ~ ( coll @ SV2 @ SV96 @ SV190 ) )
        = $true )
      | ( ( coll @ SV96 @ SV2 @ SV190 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[604]) ).

thf(699,plain,
    ! [SV283: $i,SV191: $i,SV97: $i,SV3: $i] :
      ( ( ~ ( coll @ SV3 @ SV97 @ SV191 )
        | ~ ( coll @ SV3 @ SV97 @ SV283 )
        | ( coll @ SV191 @ SV283 @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[605]) ).

thf(700,plain,
    ! [SV284: $i,SV192: $i,SV98: $i,SV4: $i] :
      ( ( ~ ( para @ SV4 @ SV98 @ SV192 @ SV284 )
        | ( para @ SV4 @ SV98 @ SV284 @ SV192 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[606]) ).

thf(701,plain,
    ! [SV285: $i,SV193: $i,SV99: $i,SV5: $i] :
      ( ( ~ ( para @ SV5 @ SV99 @ SV193 @ SV285 )
        | ( para @ SV193 @ SV285 @ SV5 @ SV99 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[607]) ).

thf(702,plain,
    ! [SV286: $i,SV194: $i,SV100: $i,SV6: $i] :
      ( ( ! [SY1499: $i,SY1500: $i] :
            ( ~ ( para @ SV6 @ SV100 @ SV194 @ SV286 )
            | ~ ( para @ SV194 @ SV286 @ SY1499 @ SY1500 )
            | ( para @ SV6 @ SV100 @ SY1499 @ SY1500 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[608]) ).

thf(703,plain,
    ! [SV287: $i,SV195: $i,SV101: $i,SV7: $i] :
      ( ( ~ ( perp @ SV7 @ SV101 @ SV195 @ SV287 )
        | ( perp @ SV7 @ SV101 @ SV287 @ SV195 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[609]) ).

thf(704,plain,
    ! [SV288: $i,SV196: $i,SV102: $i,SV8: $i] :
      ( ( ~ ( perp @ SV8 @ SV102 @ SV196 @ SV288 )
        | ( perp @ SV196 @ SV288 @ SV8 @ SV102 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[610]) ).

thf(705,plain,
    ! [SV289: $i,SV197: $i,SV103: $i,SV9: $i] :
      ( ( ! [SY1501: $i,SY1502: $i] :
            ( ~ ( perp @ SV9 @ SV103 @ SV197 @ SV289 )
            | ~ ( perp @ SV197 @ SV289 @ SY1501 @ SY1502 )
            | ( para @ SV9 @ SV103 @ SY1501 @ SY1502 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[611]) ).

thf(706,plain,
    ! [SV290: $i,SV198: $i,SV104: $i,SV10: $i] :
      ( ( ! [SY1503: $i,SY1504: $i] :
            ( ~ ( para @ SV10 @ SV104 @ SV198 @ SV290 )
            | ~ ( perp @ SV198 @ SV290 @ SY1503 @ SY1504 )
            | ( perp @ SV10 @ SV104 @ SY1503 @ SY1504 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[612]) ).

thf(707,plain,
    ! [SV11: $i,SV105: $i,SV199: $i] :
      ( ( ( ~ ( midp @ SV199 @ SV105 @ SV11 ) )
        = $true )
      | ( ( midp @ SV199 @ SV11 @ SV105 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[613]) ).

thf(708,plain,
    ! [SV200: $i,SV106: $i,SV12: $i,SV291: $i] :
      ( ( ~ ( cong @ SV291 @ SV12 @ SV291 @ SV106 )
        | ~ ( cong @ SV291 @ SV12 @ SV291 @ SV200 )
        | ( circle @ SV291 @ SV12 @ SV106 @ SV200 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[614]) ).

thf(709,plain,
    ! [SV292: $i,SV201: $i,SV107: $i,SV13: $i] :
      ( ( ! [SY1505: $i] :
            ( ~ ( cong @ SY1505 @ SV13 @ SY1505 @ SV107 )
            | ~ ( cong @ SY1505 @ SV13 @ SY1505 @ SV201 )
            | ~ ( cong @ SY1505 @ SV13 @ SY1505 @ SV292 ) )
        | ( cyclic @ SV13 @ SV107 @ SV201 @ SV292 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[615]) ).

thf(710,plain,
    ! [SV293: $i,SV202: $i,SV108: $i,SV14: $i] :
      ( ( ~ ( cyclic @ SV14 @ SV108 @ SV202 @ SV293 )
        | ( cyclic @ SV14 @ SV108 @ SV293 @ SV202 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[616]) ).

thf(711,plain,
    ! [SV294: $i,SV203: $i,SV109: $i,SV15: $i] :
      ( ( ~ ( cyclic @ SV15 @ SV109 @ SV203 @ SV294 )
        | ( cyclic @ SV15 @ SV203 @ SV109 @ SV294 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[617]) ).

thf(712,plain,
    ! [SV295: $i,SV204: $i,SV110: $i,SV16: $i] :
      ( ( ~ ( cyclic @ SV16 @ SV110 @ SV204 @ SV295 )
        | ( cyclic @ SV110 @ SV16 @ SV204 @ SV295 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[618]) ).

thf(713,plain,
    ! [SV296: $i,SV205: $i,SV111: $i,SV17: $i] :
      ( ( ! [SY1506: $i] :
            ( ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SV296 )
            | ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SY1506 )
            | ( cyclic @ SV111 @ SV205 @ SV296 @ SY1506 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[619]) ).

thf(714,plain,
    ! [SV297: $i,SV206: $i,SV112: $i,SV18: $i] :
      ( ( ! [SY1507: $i,SY1508: $i,SY1509: $i,SY1510: $i] :
            ( ~ ( eqangle @ SV18 @ SV112 @ SV206 @ SV297 @ SY1507 @ SY1508 @ SY1509 @ SY1510 )
            | ( eqangle @ SV112 @ SV18 @ SV206 @ SV297 @ SY1507 @ SY1508 @ SY1509 @ SY1510 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[620]) ).

thf(715,plain,
    ! [SV298: $i,SV207: $i,SV113: $i,SV19: $i] :
      ( ( ! [SY1511: $i,SY1512: $i,SY1513: $i,SY1514: $i] :
            ( ~ ( eqangle @ SV19 @ SV113 @ SV207 @ SV298 @ SY1511 @ SY1512 @ SY1513 @ SY1514 )
            | ( eqangle @ SV207 @ SV298 @ SV19 @ SV113 @ SY1513 @ SY1514 @ SY1511 @ SY1512 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[621]) ).

thf(716,plain,
    ! [SV299: $i,SV208: $i,SV114: $i,SV20: $i] :
      ( ( ! [SY1515: $i,SY1516: $i,SY1517: $i,SY1518: $i] :
            ( ~ ( eqangle @ SV20 @ SV114 @ SV208 @ SV299 @ SY1515 @ SY1516 @ SY1517 @ SY1518 )
            | ( eqangle @ SY1515 @ SY1516 @ SY1517 @ SY1518 @ SV20 @ SV114 @ SV208 @ SV299 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[622]) ).

thf(717,plain,
    ! [SV300: $i,SV209: $i,SV115: $i,SV21: $i] :
      ( ( ! [SY1519: $i,SY1520: $i,SY1521: $i,SY1522: $i] :
            ( ~ ( eqangle @ SV21 @ SV115 @ SV209 @ SV300 @ SY1519 @ SY1520 @ SY1521 @ SY1522 )
            | ( eqangle @ SV21 @ SV115 @ SY1519 @ SY1520 @ SV209 @ SV300 @ SY1521 @ SY1522 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[623]) ).

thf(718,plain,
    ! [SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1523: $i,SY1524: $i,SY1525: $i,SY1526: $i,SY1527: $i,SY1528: $i,SY1529: $i,SY1530: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SY1523 @ SY1524 @ SY1525 @ SY1526 )
            | ~ ( eqangle @ SY1523 @ SY1524 @ SY1525 @ SY1526 @ SY1527 @ SY1528 @ SY1529 @ SY1530 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SY1527 @ SY1528 @ SY1529 @ SY1530 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[624]) ).

thf(719,plain,
    ! [SV302: $i,SV211: $i,SV117: $i,SV23: $i] :
      ( ( ~ ( cong @ SV23 @ SV117 @ SV211 @ SV302 )
        | ( cong @ SV23 @ SV117 @ SV302 @ SV211 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[625]) ).

thf(720,plain,
    ! [SV303: $i,SV212: $i,SV118: $i,SV24: $i] :
      ( ( ~ ( cong @ SV24 @ SV118 @ SV212 @ SV303 )
        | ( cong @ SV212 @ SV303 @ SV24 @ SV118 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[626]) ).

thf(721,plain,
    ! [SV304: $i,SV213: $i,SV119: $i,SV25: $i] :
      ( ( ! [SY1531: $i,SY1532: $i] :
            ( ~ ( cong @ SV25 @ SV119 @ SV213 @ SV304 )
            | ~ ( cong @ SV213 @ SV304 @ SY1531 @ SY1532 )
            | ( cong @ SV25 @ SV119 @ SY1531 @ SY1532 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[627]) ).

thf(722,plain,
    ! [SV305: $i,SV214: $i,SV120: $i,SV26: $i] :
      ( ( ! [SY1533: $i,SY1534: $i,SY1535: $i,SY1536: $i] :
            ( ~ ( eqratio @ SV26 @ SV120 @ SV214 @ SV305 @ SY1533 @ SY1534 @ SY1535 @ SY1536 )
            | ( eqratio @ SV120 @ SV26 @ SV214 @ SV305 @ SY1533 @ SY1534 @ SY1535 @ SY1536 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[628]) ).

thf(723,plain,
    ! [SV306: $i,SV215: $i,SV121: $i,SV27: $i] :
      ( ( ! [SY1537: $i,SY1538: $i,SY1539: $i,SY1540: $i] :
            ( ~ ( eqratio @ SV27 @ SV121 @ SV215 @ SV306 @ SY1537 @ SY1538 @ SY1539 @ SY1540 )
            | ( eqratio @ SV215 @ SV306 @ SV27 @ SV121 @ SY1539 @ SY1540 @ SY1537 @ SY1538 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[629]) ).

thf(724,plain,
    ! [SV307: $i,SV216: $i,SV122: $i,SV28: $i] :
      ( ( ! [SY1541: $i,SY1542: $i,SY1543: $i,SY1544: $i] :
            ( ~ ( eqratio @ SV28 @ SV122 @ SV216 @ SV307 @ SY1541 @ SY1542 @ SY1543 @ SY1544 )
            | ( eqratio @ SY1541 @ SY1542 @ SY1543 @ SY1544 @ SV28 @ SV122 @ SV216 @ SV307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[630]) ).

thf(725,plain,
    ! [SV308: $i,SV217: $i,SV123: $i,SV29: $i] :
      ( ( ! [SY1545: $i,SY1546: $i,SY1547: $i,SY1548: $i] :
            ( ~ ( eqratio @ SV29 @ SV123 @ SV217 @ SV308 @ SY1545 @ SY1546 @ SY1547 @ SY1548 )
            | ( eqratio @ SV29 @ SV123 @ SY1545 @ SY1546 @ SV217 @ SV308 @ SY1547 @ SY1548 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[631]) ).

thf(726,plain,
    ! [SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ! [SY1549: $i,SY1550: $i,SY1551: $i,SY1552: $i,SY1553: $i,SY1554: $i] :
            ( ! [SY1555: $i,SY1556: $i] :
                ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SY1553 @ SY1554 @ SY1555 @ SY1556 )
                | ~ ( eqratio @ SY1553 @ SY1554 @ SY1555 @ SY1556 @ SY1549 @ SY1550 @ SY1551 @ SY1552 ) )
            | ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SY1549 @ SY1550 @ SY1551 @ SY1552 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[632]) ).

thf(727,plain,
    ! [SV310: $i,SV125: $i,SV219: $i,SV31: $i] :
      ( ( ! [SY1557: $i,SY1558: $i] :
            ( ~ ( simtri @ SV31 @ SV219 @ SV125 @ SV310 @ SY1558 @ SY1557 )
            | ( simtri @ SV31 @ SV125 @ SV219 @ SV310 @ SY1557 @ SY1558 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[633]) ).

thf(728,plain,
    ! [SV311: $i,SV220: $i,SV32: $i,SV126: $i] :
      ( ( ! [SY1559: $i,SY1560: $i] :
            ( ~ ( simtri @ SV126 @ SV32 @ SV220 @ SY1559 @ SV311 @ SY1560 )
            | ( simtri @ SV32 @ SV126 @ SV220 @ SV311 @ SY1559 @ SY1560 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[634]) ).

thf(729,plain,
    ! [SV221: $i,SV127: $i,SV33: $i,SV312: $i] :
      ( ( ! [SY1561: $i,SY1562: $i] :
            ( ~ ( simtri @ SV312 @ SY1561 @ SY1562 @ SV33 @ SV127 @ SV221 )
            | ( simtri @ SV33 @ SV127 @ SV221 @ SV312 @ SY1561 @ SY1562 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[635]) ).

thf(730,plain,
    ! [SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ! [SY1563: $i,SY1564: $i,SY1565: $i,SY1566: $i,SY1567: $i] :
            ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SY1563 @ SY1564 )
            | ~ ( simtri @ SV313 @ SY1563 @ SY1564 @ SY1565 @ SY1566 @ SY1567 )
            | ( simtri @ SV34 @ SV128 @ SV222 @ SY1565 @ SY1566 @ SY1567 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[636]) ).

thf(731,plain,
    ! [SV314: $i,SV129: $i,SV223: $i,SV35: $i] :
      ( ( ! [SY1568: $i,SY1569: $i] :
            ( ~ ( contri @ SV35 @ SV223 @ SV129 @ SV314 @ SY1569 @ SY1568 )
            | ( contri @ SV35 @ SV129 @ SV223 @ SV314 @ SY1568 @ SY1569 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[637]) ).

thf(732,plain,
    ! [SV315: $i,SV224: $i,SV36: $i,SV130: $i] :
      ( ( ! [SY1570: $i,SY1571: $i] :
            ( ~ ( contri @ SV130 @ SV36 @ SV224 @ SY1570 @ SV315 @ SY1571 )
            | ( contri @ SV36 @ SV130 @ SV224 @ SV315 @ SY1570 @ SY1571 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[638]) ).

thf(733,plain,
    ! [SV225: $i,SV131: $i,SV37: $i,SV316: $i] :
      ( ( ! [SY1572: $i,SY1573: $i] :
            ( ~ ( contri @ SV316 @ SY1572 @ SY1573 @ SV37 @ SV131 @ SV225 )
            | ( contri @ SV37 @ SV131 @ SV225 @ SV316 @ SY1572 @ SY1573 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[639]) ).

thf(734,plain,
    ! [SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ! [SY1574: $i,SY1575: $i,SY1576: $i,SY1577: $i,SY1578: $i] :
            ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SY1574 @ SY1575 )
            | ~ ( contri @ SV317 @ SY1574 @ SY1575 @ SY1576 @ SY1577 @ SY1578 )
            | ( contri @ SV38 @ SV132 @ SV226 @ SY1576 @ SY1577 @ SY1578 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[640]) ).

thf(735,plain,
    ! [SV318: $i,SV227: $i,SV133: $i,SV39: $i] :
      ( ( ! [SY1579: $i,SY1580: $i] :
            ~ ( eqangle @ SV39 @ SV133 @ SY1579 @ SY1580 @ SV227 @ SV318 @ SY1579 @ SY1580 )
        | ( para @ SV39 @ SV133 @ SV227 @ SV318 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[641]) ).

thf(736,plain,
    ! [SV319: $i,SV228: $i,SV134: $i,SV40: $i] :
      ( ( ~ ( para @ SV40 @ SV134 @ SV228 @ SV319 )
        | ! [SY1581: $i,SY1582: $i] : ( eqangle @ SV40 @ SV134 @ SY1581 @ SY1582 @ SV228 @ SV319 @ SY1581 @ SY1582 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[642]) ).

thf(737,plain,
    ! [SV320: $i,SV229: $i,SV135: $i,SV41: $i] :
      ( ( ~ ( cyclic @ SV41 @ SV135 @ SV229 @ SV320 )
        | ( eqangle @ SV229 @ SV41 @ SV229 @ SV135 @ SV320 @ SV41 @ SV320 @ SV135 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[643]) ).

thf(738,plain,
    ! [SV321: $i,SV136: $i,SV42: $i,SV230: $i] :
      ( ( ~ ( eqangle @ SV230 @ SV42 @ SV230 @ SV136 @ SV321 @ SV42 @ SV321 @ SV136 )
        | ( coll @ SV230 @ SV321 @ SV42 )
        | ( cyclic @ SV42 @ SV136 @ SV230 @ SV321 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[644]) ).

thf(739,plain,
    ! [SV43: $i,SV137: $i,SV322: $i,SV231: $i] :
      ( ( ~ ( coll @ SV231 @ SV322 @ SV137 )
        | ~ ( eqangle @ SV231 @ SV43 @ SV231 @ SV137 @ SV322 @ SV43 @ SV322 @ SV137 )
        | ( cyclic @ SV43 @ SV137 @ SV231 @ SV322 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[645]) ).

thf(740,plain,
    ! [SV323: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ! [SY1583: $i] :
            ( ! [SY1584: $i] :
                ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
                | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SY1583 )
                | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SY1584 )
                | ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SY1584 @ SV323 @ SY1584 @ SY1583 ) )
            | ( cong @ SV44 @ SV138 @ SV323 @ SY1583 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[646]) ).

thf(741,plain,
    ! [SV233: $i,SV139: $i,SV45: $i,SV324: $i] :
      ( ( ! [SY1585: $i] :
            ( ~ ( midp @ SV324 @ SV45 @ SV139 )
            | ~ ( midp @ SY1585 @ SV45 @ SV233 )
            | ( para @ SV324 @ SY1585 @ SV139 @ SV233 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[647]) ).

thf(742,plain,
    ! [SV234: $i,SV140: $i,SV46: $i,SV325: $i] :
      ( ( ! [SY1586: $i] :
            ( ~ ( midp @ SV325 @ SV46 @ SV140 )
            | ~ ( para @ SV325 @ SY1586 @ SV140 @ SV234 )
            | ~ ( coll @ SY1586 @ SV46 @ SV234 )
            | ( midp @ SY1586 @ SV46 @ SV234 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[648]) ).

thf(743,plain,
    ! [SV141: $i,SV47: $i,SV235: $i] :
      ( ( ( ~ ( cong @ SV235 @ SV47 @ SV235 @ SV141 ) )
        = $true )
      | ( ( eqangle @ SV235 @ SV47 @ SV47 @ SV141 @ SV47 @ SV141 @ SV235 @ SV141 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[649]) ).

thf(744,plain,
    ! [SV142: $i,SV48: $i,SV236: $i] :
      ( ( ( ~ ( eqangle @ SV236 @ SV48 @ SV48 @ SV142 @ SV48 @ SV142 @ SV236 @ SV142 )
          | ( coll @ SV236 @ SV48 @ SV142 ) )
        = $true )
      | ( ( cong @ SV236 @ SV48 @ SV236 @ SV142 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[650]) ).

thf(745,plain,
    ! [SV237: $i,SV143: $i,SV49: $i,SV326: $i] :
      ( ( ! [SY1587: $i] :
            ( ~ ( circle @ SV326 @ SV49 @ SV143 @ SV237 )
            | ~ ( perp @ SV326 @ SV49 @ SV49 @ SY1587 )
            | ( eqangle @ SV49 @ SY1587 @ SV49 @ SV143 @ SV237 @ SV49 @ SV237 @ SV143 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[651]) ).

thf(746,plain,
    ! [SV238: $i,SV144: $i,SV50: $i,SV327: $i] :
      ( ( ! [SY1588: $i] :
            ( ~ ( circle @ SV327 @ SV50 @ SV144 @ SV238 )
            | ~ ( eqangle @ SV50 @ SY1588 @ SV50 @ SV144 @ SV238 @ SV50 @ SV238 @ SV144 )
            | ( perp @ SV327 @ SV50 @ SV50 @ SY1588 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[652]) ).

thf(747,plain,
    ! [SV239: $i,SV145: $i,SV51: $i,SV328: $i] :
      ( ( ! [SY1589: $i] :
            ( ~ ( circle @ SV328 @ SV51 @ SV145 @ SV239 )
            | ~ ( midp @ SY1589 @ SV145 @ SV239 )
            | ( eqangle @ SV51 @ SV145 @ SV51 @ SV239 @ SV328 @ SV145 @ SV328 @ SY1589 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[653]) ).

thf(748,plain,
    ! [SV240: $i,SV146: $i,SV52: $i,SV329: $i] :
      ( ( ! [SY1590: $i] :
            ( ~ ( circle @ SV329 @ SV52 @ SV146 @ SV240 )
            | ~ ( coll @ SY1590 @ SV146 @ SV240 )
            | ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SV329 @ SV146 @ SV329 @ SY1590 )
            | ( midp @ SY1590 @ SV146 @ SV240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[654]) ).

thf(749,plain,
    ! [SV147: $i,SV241: $i,SV53: $i,SV330: $i] :
      ( ( ~ ( midp @ SV330 @ SV53 @ SV241 )
        | ~ ( perp @ SV53 @ SV147 @ SV147 @ SV241 )
        | ( cong @ SV53 @ SV330 @ SV147 @ SV330 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[655]) ).

thf(750,plain,
    ! [SV242: $i,SV148: $i,SV54: $i] :
      ( ( ( ! [SY1420: $i] :
              ( ~ ( circle @ SY1420 @ SV54 @ SV148 @ SV242 )
              | ~ ( coll @ SY1420 @ SV54 @ SV242 ) ) )
        = $true )
      | ( ( perp @ SV54 @ SV148 @ SV148 @ SV242 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[656]) ).

thf(751,plain,
    ! [SV331: $i,SV243: $i,SV149: $i,SV55: $i] :
      ( ( ~ ( cyclic @ SV55 @ SV149 @ SV243 @ SV331 )
        | ~ ( para @ SV55 @ SV149 @ SV243 @ SV331 )
        | ( eqangle @ SV55 @ SV331 @ SV243 @ SV331 @ SV243 @ SV331 @ SV243 @ SV149 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[657]) ).

thf(752,plain,
    ! [SV332: $i,SV150: $i,SV56: $i,SV244: $i] :
      ( ( ~ ( midp @ SV244 @ SV56 @ SV150 )
        | ~ ( perp @ SV332 @ SV244 @ SV56 @ SV150 )
        | ( cong @ SV332 @ SV56 @ SV332 @ SV150 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[658]) ).

thf(753,plain,
    ! [SV333: $i,SV151: $i,SV245: $i,SV57: $i] :
      ( ( ~ ( cong @ SV57 @ SV245 @ SV151 @ SV245 )
        | ~ ( cong @ SV57 @ SV333 @ SV151 @ SV333 )
        | ( perp @ SV57 @ SV151 @ SV245 @ SV333 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[659]) ).

thf(754,plain,
    ! [SV334: $i,SV152: $i,SV246: $i,SV58: $i] :
      ( ( ~ ( cong @ SV58 @ SV246 @ SV152 @ SV246 )
        | ~ ( cong @ SV58 @ SV334 @ SV152 @ SV334 )
        | ~ ( cyclic @ SV58 @ SV152 @ SV246 @ SV334 )
        | ( perp @ SV246 @ SV58 @ SV58 @ SV334 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[660]) ).

thf(755,plain,
    ! [SV335: $i,SV247: $i,SV153: $i,SV59: $i] :
      ( ( ! [SY1591: $i,SY1592: $i] :
            ( ~ ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SV335 @ SY1591 @ SY1591 @ SY1592 )
            | ~ ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SV335 @ SY1592 @ SY1591 @ SY1592 )
            | ( coll @ SV59 @ SV153 @ SV247 )
            | ( simtri @ SV59 @ SV153 @ SV247 @ SV335 @ SY1591 @ SY1592 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[661]) ).

thf(756,plain,
    ! [SV336: $i,SV248: $i,SV154: $i,SV60: $i] :
      ( ( ! [SY1593: $i,SY1594: $i] :
            ( ~ ( simtri @ SV60 @ SV154 @ SV248 @ SV336 @ SY1593 @ SY1594 )
            | ( eqratio @ SV60 @ SV154 @ SV60 @ SV248 @ SV336 @ SY1593 @ SV336 @ SY1594 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[662]) ).

thf(757,plain,
    ! [SV337: $i,SV249: $i,SV155: $i,SV61: $i] :
      ( ( ! [SY1595: $i,SY1596: $i] :
            ( ~ ( simtri @ SV61 @ SV155 @ SV249 @ SV337 @ SY1595 @ SY1596 )
            | ( eqangle @ SV61 @ SV155 @ SV155 @ SV249 @ SV337 @ SY1595 @ SY1595 @ SY1596 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[663]) ).

thf(758,plain,
    ! [SV250: $i,SV338: $i,SV156: $i,SV62: $i] :
      ( ( ! [SY1597: $i,SY1598: $i] :
            ( ~ ( cong @ SV62 @ SV156 @ SV338 @ SY1597 )
            | ~ ( simtri @ SV62 @ SV156 @ SV250 @ SV338 @ SY1597 @ SY1598 )
            | ( contri @ SV62 @ SV156 @ SV250 @ SV338 @ SY1597 @ SY1598 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[664]) ).

thf(759,plain,
    ! [SV339: $i,SV251: $i,SV157: $i,SV63: $i] :
      ( ( ! [SY1599: $i] :
            ( ! [SY1600: $i] :
                ~ ( contri @ SV63 @ SV157 @ SV251 @ SV339 @ SY1599 @ SY1600 )
            | ( cong @ SV63 @ SV157 @ SV339 @ SY1599 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[665]) ).

thf(760,plain,
    ! [SV340: $i,SV252: $i,SV158: $i,SV64: $i] :
      ( ( ! [SY1601: $i] :
            ( ~ ( midp @ SY1601 @ SV64 @ SV158 )
            | ~ ( midp @ SY1601 @ SV252 @ SV340 ) )
        | ( para @ SV64 @ SV252 @ SV158 @ SV340 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[666]) ).

thf(761,plain,
    ! [SV341: $i,SV253: $i,SV159: $i,SV65: $i] :
      ( ( ! [SY1602: $i] :
            ( ~ ( midp @ SY1602 @ SV65 @ SV159 )
            | ~ ( para @ SV65 @ SV253 @ SV159 @ SV341 )
            | ~ ( para @ SV65 @ SV341 @ SV159 @ SV253 )
            | ( midp @ SY1602 @ SV253 @ SV341 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[667]) ).

thf(762,plain,
    ! [SV342: $i,SV160: $i,SV254: $i,SV66: $i] :
      ( ( ! [SY1603: $i] :
            ( ~ ( coll @ SY1603 @ SV66 @ SV254 )
            | ~ ( para @ SV66 @ SV160 @ SV254 @ SV342 )
            | ~ ( coll @ SY1603 @ SV160 @ SV342 )
            | ( eqratio @ SY1603 @ SV66 @ SV66 @ SV254 @ SY1603 @ SV160 @ SV160 @ SV342 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[668]) ).

thf(763,plain,
    ! [SV255: $i,SV161: $i,SV67: $i] :
      ( ( ( ~ ( para @ SV67 @ SV161 @ SV67 @ SV255 ) )
        = $true )
      | ( ( coll @ SV67 @ SV161 @ SV255 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[669]) ).

thf(764,plain,
    ! [SV256: $i,SV162: $i,SV68: $i] :
      ( ( ( ~ ( coll @ SV68 @ SV162 @ SV256 )
          | ~ ( cong @ SV68 @ SV162 @ SV68 @ SV256 ) )
        = $true )
      | ( ( midp @ SV68 @ SV162 @ SV256 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[670]) ).

thf(765,plain,
    ! [SV257: $i,SV163: $i,SV69: $i] :
      ( ( ( ~ ( midp @ SV69 @ SV163 @ SV257 ) )
        = $true )
      | ( ( cong @ SV69 @ SV163 @ SV69 @ SV257 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[671]) ).

thf(766,plain,
    ! [SV258: $i,SV164: $i,SV70: $i] :
      ( ( ( ~ ( midp @ SV70 @ SV164 @ SV258 ) )
        = $true )
      | ( ( coll @ SV70 @ SV164 @ SV258 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[672]) ).

thf(767,plain,
    ! [SV343: $i,SV259: $i,SV165: $i,SV71: $i] :
      ( ( ! [SY1604: $i,SY1605: $i] :
            ( ~ ( midp @ SY1604 @ SV71 @ SV165 )
            | ~ ( midp @ SY1605 @ SV259 @ SV343 )
            | ( eqratio @ SY1604 @ SV71 @ SV71 @ SV165 @ SY1605 @ SV259 @ SV259 @ SV343 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[673]) ).

thf(768,plain,
    ! [SV344: $i,SV260: $i,SV166: $i,SV72: $i] :
      ( ( ~ ( eqangle @ SV72 @ SV166 @ SV260 @ SV344 @ SV260 @ SV344 @ SV72 @ SV166 )
        | ( para @ SV72 @ SV166 @ SV260 @ SV344 )
        | ( perp @ SV72 @ SV166 @ SV260 @ SV344 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[674]) ).

thf(769,plain,
    ! [SV345: $i,SV261: $i,SV167: $i,SV73: $i] :
      ( ( ~ ( eqangle @ SV73 @ SV167 @ SV261 @ SV345 @ SV261 @ SV345 @ SV73 @ SV167 )
        | ( perp @ SV73 @ SV167 @ SV261 @ SV345 )
        | ( para @ SV73 @ SV167 @ SV261 @ SV345 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[675]) ).

thf(770,plain,
    ! [SV346: $i,SV262: $i,SV168: $i,SV74: $i] :
      ( ( ! [SY1606: $i,SY1607: $i] :
            ( ! [SY1608: $i,SY1609: $i] :
                ( ~ ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SY1606 @ SY1607 @ SY1608 @ SY1609 )
                | ~ ( para @ SY1606 @ SY1607 @ SY1608 @ SY1609 ) )
            | ( para @ SV74 @ SV168 @ SV262 @ SV346 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[676]) ).

thf(771,plain,
    ! [SV347: $i,SV263: $i,SV169: $i,SV75: $i] :
      ( ( ! [SY1610: $i,SY1611: $i] :
            ( ! [SY1612: $i,SY1613: $i] :
                ( ~ ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SY1610 @ SY1611 @ SY1612 @ SY1613 )
                | ~ ( perp @ SY1610 @ SY1611 @ SY1612 @ SY1613 ) )
            | ( perp @ SV75 @ SV169 @ SV263 @ SV347 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[677]) ).

thf(772,plain,
    ! [SV348: $i,SV264: $i,SV170: $i,SV76: $i] :
      ( ( ! [SY1614: $i,SY1615: $i] :
            ( ! [SY1616: $i,SY1617: $i] :
                ( ~ ( cong @ SY1614 @ SY1615 @ SY1616 @ SY1617 )
                | ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SY1614 @ SY1615 @ SY1616 @ SY1617 ) )
            | ( cong @ SV76 @ SV170 @ SV264 @ SV348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[678]) ).

thf(773,plain,
    ! [SV349: $i,SV265: $i,SV171: $i,SV77: $i] :
      ( ( ! [SY1618: $i,SY1619: $i] :
            ( ~ ( midp @ SY1618 @ SV77 @ SV171 )
            | ~ ( midp @ SY1619 @ SV265 @ SV349 )
            | ~ ( coll @ SV265 @ SV77 @ SV171 )
            | ~ ( coll @ SV349 @ SV77 @ SV171 )
            | ! [SY1620: $i] : ( midp @ ( sK22_P @ SY1620 @ SY1619 @ SY1618 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1620 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[679]) ).

thf(774,plain,
    ! [SV266: $i,SV172: $i,SV78: $i,SV350: $i] :
      ( ( ~ ( circle @ SV350 @ SV78 @ SV172 @ SV266 )
        | ( perp @ ( sK17_P @ SV350 @ SV266 @ SV172 @ SV78 ) @ SV78 @ SV78 @ SV350 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[680]) ).

thf(775,plain,
    ! [SV351: $i,SV267: $i,SV173: $i,SV79: $i] :
      ( ( ~ ( cyclic @ SV79 @ SV173 @ SV267 @ SV351 )
        | ~ ( para @ SV79 @ SV173 @ SV267 @ SV351 )
        | ! [SY1238: $i] :
            ~ ( midp @ SY1238 @ SV79 @ SV173 )
        | ( circle @ ( sK14_O @ SV351 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[681]) ).

thf(776,plain,
    ! [SV268: $i,SV174: $i,SV80: $i] :
      ( ( ( ! [SY1473: $i] :
              ~ ( cyclic @ SV80 @ SV174 @ SV268 @ SY1473 )
          | ~ ( perp @ SV80 @ SV268 @ SV268 @ SV174 ) )
        = $true )
      | ( ( circle @ ( sK13_O @ SV268 @ SV174 @ SV80 ) @ SV80 @ SV174 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[682]) ).

thf(777,plain,
    ! [SV352: $i,SV269: $i,SV175: $i,SV81: $i] :
      ( ( ~ ( perp @ SV81 @ SV175 @ SV81 @ SV269 )
        | ~ ( perp @ SV269 @ SV81 @ SV269 @ SV352 )
        | ! [SY1622: $i] :
            ~ ( midp @ SY1622 @ SV175 @ SV352 )
        | ( midp @ ( sK11_P @ SV352 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[683]) ).

thf(778,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ~ ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
            | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
            | ( coll @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) ) )
        | ~ ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
            | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
            | ( cong @ SV270 @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[684]) ).

thf(779,plain,
    ! [SV353: $i,SV177: $i,SV271: $i,SV83: $i] :
      ( ( ! [SY1623: $i,SY1624: $i] :
            ~ ( ~ ( ~ ( coll @ SY1623 @ SV83 @ SV271 )
                  | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
                  | ~ ( coll @ SY1623 @ SV177 @ SV353 )
                  | ~ ( coll @ SY1624 @ SV83 @ SV177 )
                  | ( coll @ SY1623 @ SY1624 @ ( sK9_R @ SY1624 @ SY1623 @ SV353 @ SV271 @ SV177 @ SV83 ) ) )
              | ~ ( ~ ( coll @ SY1623 @ SV83 @ SV271 )
                  | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
                  | ~ ( coll @ SY1623 @ SV177 @ SV353 )
                  | ~ ( coll @ SY1624 @ SV83 @ SV177 )
                  | ( coll @ ( sK9_R @ SY1624 @ SY1623 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[685]) ).

thf(780,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ~ ( ~ ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
                | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
                | ( coll @ SV178 @ SV84 @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) ) )
            | ~ ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
                | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
                | ( coll @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SV354 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[686]) ).

thf(781,plain,
    ! [SV355: $i,SV273: $i,SV179: $i,SV85: $i] :
      ( ( ! [SY1625: $i,SY1626: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( midp @ SY1625 @ SV85 @ SV179 )
                        | ~ ( midp @ SY1626 @ SV273 @ SV355 )
                        | ( midp @ ( sK23_P @ SY1626 @ SY1625 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) )
                    | ~ ( ~ ( midp @ SY1625 @ SV85 @ SV179 )
                        | ~ ( midp @ SY1626 @ SV273 @ SV355 )
                        | ( para @ ( sK23_P @ SY1626 @ SY1625 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SY1625 @ SV179 @ SV355 ) ) )
              | ~ ( ~ ( midp @ SY1625 @ SV85 @ SV179 )
                  | ~ ( midp @ SY1626 @ SV273 @ SV355 )
                  | ( para @ ( sK23_P @ SY1626 @ SY1625 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SY1626 @ SV85 @ SV273 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[687]) ).

thf(782,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ~ ( ~ ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
                | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
                | ( coll @ SV180 @ SV86 @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) ) )
            | ~ ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
                | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
                | ( coll @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SV356 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[688]) ).

thf(783,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ~ ( ~ ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
                | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
                | ( coll @ SV181 @ SV87 @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) ) )
            | ~ ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
                | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
                | ( coll @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SV357 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[689]) ).

thf(784,plain,
    ! [SV358: $i,SV276: $i,SV182: $i,SV88: $i] :
      ( ( ! [SY1627: $i,SY1628: $i] :
            ~ ( ~ ( ~ ( midp @ SY1628 @ SV88 @ SV182 )
                  | ~ ( para @ SV88 @ SV276 @ SY1627 @ SY1628 )
                  | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
                  | ~ ( coll @ SV276 @ SV358 @ SY1627 )
                  | ( coll @ ( sK21_X @ SY1628 @ SY1627 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 ) )
              | ~ ( ~ ( midp @ SY1628 @ SV88 @ SV182 )
                  | ~ ( para @ SV88 @ SV276 @ SY1627 @ SY1628 )
                  | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
                  | ~ ( coll @ SV276 @ SV358 @ SY1627 )
                  | ( coll @ ( sK21_X @ SY1628 @ SY1627 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SY1628 @ SY1627 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[690]) ).

thf(785,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i] :
      ( ( ! [SY1629: $i,SY1630: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY1629 = SY1630 )
                              | ~ ( circle @ SY1629 @ SV89 @ SV183 @ SV277 )
                              | ~ ( cong @ SY1629 @ SV89 @ SY1629 @ SV359 )
                              | ~ ( cong @ SY1630 @ SV89 @ SY1630 @ SV183 )
                              | ( coll @ ( sK15_P @ SY1630 @ SY1629 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
                          | ~ ( ( SY1629 = SY1630 )
                              | ~ ( circle @ SY1629 @ SV89 @ SV183 @ SV277 )
                              | ~ ( cong @ SY1629 @ SV89 @ SY1629 @ SV359 )
                              | ~ ( cong @ SY1630 @ SV89 @ SY1630 @ SV183 )
                              | ( cong @ ( sK15_P @ SY1630 @ SY1629 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SY1630 @ SY1630 @ SV89 ) ) )
                    | ~ ( ( SY1629 = SY1630 )
                        | ~ ( circle @ SY1629 @ SV89 @ SV183 @ SV277 )
                        | ~ ( cong @ SY1629 @ SV89 @ SY1629 @ SV359 )
                        | ~ ( cong @ SY1630 @ SV89 @ SY1630 @ SV183 )
                        | ( coll @ ( sK16_SY558 @ SY1630 @ SY1629 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) ) )
              | ~ ( ( SY1629 = SY1630 )
                  | ~ ( circle @ SY1629 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SY1629 @ SV89 @ SY1629 @ SV359 )
                  | ~ ( cong @ SY1630 @ SV89 @ SY1630 @ SV183 )
                  | ( cong @ ( sK16_SY558 @ SY1630 @ SY1629 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SY1630 @ SY1630 @ SV89 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[691]) ).

thf(786,plain,
    ! [SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ! [SY1631: $i] :
            ~ ( ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SY1631 )
                  | ( coll @ SV90 @ SV184 @ SV278 )
                  | ( cyclic @ SV360 @ SV184 @ SV278 @ ( sK24_Q @ SY1631 @ SV360 @ SV278 @ SV184 @ SV90 ) ) )
              | ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SY1631 )
                  | ( coll @ SV90 @ SV184 @ SV278 )
                  | ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SY1631 @ SV360 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SY1631 @ SV360 @ SV278 @ SV184 @ SV90 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[692]) ).

thf(787,plain,
    ! [SV279: $i,SV91: $i,SV361: $i,SV185: $i] :
      ( ( ! [SY1632: $i] :
            ~ ( ~ ( ~ ( coll @ SV185 @ SV361 @ SY1632 )
                  | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
                  | ( coll @ ( sK12_P @ SY1632 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SY1632 ) )
              | ~ ( ~ ( coll @ SV185 @ SV361 @ SY1632 )
                  | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
                  | ( perp @ ( sK12_P @ SY1632 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SY1632 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[693]) ).

thf(788,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ~ ( ~ ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
                | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
                | ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 ) )
            | ~ ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
                | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
                | ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SV362 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[694]) ).

thf(789,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i] :
      ( ( ! [SY1633: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( cong @ SY1633 @ SV281 @ SY1633 @ SV363 )
                        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1633 )
                        | ( cong @ SY1633 @ SV281 @ SY1633 @ ( sK20_P @ SY1633 @ SV363 @ SV281 @ SV187 @ SV93 ) ) )
                    | ~ ( ~ ( cong @ SY1633 @ SV281 @ SY1633 @ SV363 )
                        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1633 )
                        | ( para @ ( sK20_P @ SY1633 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) ) )
              | ~ ( ~ ( cong @ SY1633 @ SV281 @ SY1633 @ SV363 )
                  | ~ ( perp @ SV93 @ SV187 @ SV187 @ SY1633 )
                  | ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SY1633 @ SV363 @ SV281 @ SV187 @ SV93 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[695]) ).

thf(790,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                            | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
                        | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                            | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
                  | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                      | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                      | ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) )
            | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                | ( perp @ SV188 @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[696]) ).

thf(791,plain,
    ! [SV189: $i,SV95: $i,SV1: $i] :
      ( ( ( coll @ SV1 @ SV95 @ SV189 )
        = $false )
      | ( ( coll @ SV1 @ SV189 @ SV95 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[697]) ).

thf(792,plain,
    ! [SV190: $i,SV96: $i,SV2: $i] :
      ( ( ( coll @ SV2 @ SV96 @ SV190 )
        = $false )
      | ( ( coll @ SV96 @ SV2 @ SV190 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(793,plain,
    ! [SV283: $i,SV191: $i,SV97: $i,SV3: $i] :
      ( ( ( ~ ( coll @ SV3 @ SV97 @ SV191 )
          | ~ ( coll @ SV3 @ SV97 @ SV283 ) )
        = $true )
      | ( ( coll @ SV191 @ SV283 @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[699]) ).

thf(794,plain,
    ! [SV284: $i,SV192: $i,SV98: $i,SV4: $i] :
      ( ( ( ~ ( para @ SV4 @ SV98 @ SV192 @ SV284 ) )
        = $true )
      | ( ( para @ SV4 @ SV98 @ SV284 @ SV192 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[700]) ).

thf(795,plain,
    ! [SV285: $i,SV193: $i,SV99: $i,SV5: $i] :
      ( ( ( ~ ( para @ SV5 @ SV99 @ SV193 @ SV285 ) )
        = $true )
      | ( ( para @ SV193 @ SV285 @ SV5 @ SV99 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[701]) ).

thf(796,plain,
    ! [SV365: $i,SV286: $i,SV194: $i,SV100: $i,SV6: $i] :
      ( ( ! [SY1634: $i] :
            ( ~ ( para @ SV6 @ SV100 @ SV194 @ SV286 )
            | ~ ( para @ SV194 @ SV286 @ SV365 @ SY1634 )
            | ( para @ SV6 @ SV100 @ SV365 @ SY1634 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[702]) ).

thf(797,plain,
    ! [SV287: $i,SV195: $i,SV101: $i,SV7: $i] :
      ( ( ( ~ ( perp @ SV7 @ SV101 @ SV195 @ SV287 ) )
        = $true )
      | ( ( perp @ SV7 @ SV101 @ SV287 @ SV195 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[703]) ).

thf(798,plain,
    ! [SV288: $i,SV196: $i,SV102: $i,SV8: $i] :
      ( ( ( ~ ( perp @ SV8 @ SV102 @ SV196 @ SV288 ) )
        = $true )
      | ( ( perp @ SV196 @ SV288 @ SV8 @ SV102 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[704]) ).

thf(799,plain,
    ! [SV366: $i,SV289: $i,SV197: $i,SV103: $i,SV9: $i] :
      ( ( ! [SY1635: $i] :
            ( ~ ( perp @ SV9 @ SV103 @ SV197 @ SV289 )
            | ~ ( perp @ SV197 @ SV289 @ SV366 @ SY1635 )
            | ( para @ SV9 @ SV103 @ SV366 @ SY1635 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[705]) ).

thf(800,plain,
    ! [SV367: $i,SV290: $i,SV198: $i,SV104: $i,SV10: $i] :
      ( ( ! [SY1636: $i] :
            ( ~ ( para @ SV10 @ SV104 @ SV198 @ SV290 )
            | ~ ( perp @ SV198 @ SV290 @ SV367 @ SY1636 )
            | ( perp @ SV10 @ SV104 @ SV367 @ SY1636 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[706]) ).

thf(801,plain,
    ! [SV11: $i,SV105: $i,SV199: $i] :
      ( ( ( midp @ SV199 @ SV105 @ SV11 )
        = $false )
      | ( ( midp @ SV199 @ SV11 @ SV105 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(802,plain,
    ! [SV200: $i,SV106: $i,SV12: $i,SV291: $i] :
      ( ( ( ~ ( cong @ SV291 @ SV12 @ SV291 @ SV106 )
          | ~ ( cong @ SV291 @ SV12 @ SV291 @ SV200 ) )
        = $true )
      | ( ( circle @ SV291 @ SV12 @ SV106 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[708]) ).

thf(803,plain,
    ! [SV292: $i,SV201: $i,SV107: $i,SV13: $i] :
      ( ( ( ! [SY1505: $i] :
              ( ~ ( cong @ SY1505 @ SV13 @ SY1505 @ SV107 )
              | ~ ( cong @ SY1505 @ SV13 @ SY1505 @ SV201 )
              | ~ ( cong @ SY1505 @ SV13 @ SY1505 @ SV292 ) ) )
        = $true )
      | ( ( cyclic @ SV13 @ SV107 @ SV201 @ SV292 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[709]) ).

thf(804,plain,
    ! [SV293: $i,SV202: $i,SV108: $i,SV14: $i] :
      ( ( ( ~ ( cyclic @ SV14 @ SV108 @ SV202 @ SV293 ) )
        = $true )
      | ( ( cyclic @ SV14 @ SV108 @ SV293 @ SV202 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[710]) ).

thf(805,plain,
    ! [SV294: $i,SV203: $i,SV109: $i,SV15: $i] :
      ( ( ( ~ ( cyclic @ SV15 @ SV109 @ SV203 @ SV294 ) )
        = $true )
      | ( ( cyclic @ SV15 @ SV203 @ SV109 @ SV294 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[711]) ).

thf(806,plain,
    ! [SV295: $i,SV204: $i,SV110: $i,SV16: $i] :
      ( ( ( ~ ( cyclic @ SV16 @ SV110 @ SV204 @ SV295 ) )
        = $true )
      | ( ( cyclic @ SV110 @ SV16 @ SV204 @ SV295 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[712]) ).

thf(807,plain,
    ! [SV368: $i,SV296: $i,SV205: $i,SV111: $i,SV17: $i] :
      ( ( ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SV296 )
        | ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SV368 )
        | ( cyclic @ SV111 @ SV205 @ SV296 @ SV368 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[713]) ).

thf(808,plain,
    ! [SV369: $i,SV297: $i,SV206: $i,SV112: $i,SV18: $i] :
      ( ( ! [SY1637: $i,SY1638: $i,SY1639: $i] :
            ( ~ ( eqangle @ SV18 @ SV112 @ SV206 @ SV297 @ SV369 @ SY1637 @ SY1638 @ SY1639 )
            | ( eqangle @ SV112 @ SV18 @ SV206 @ SV297 @ SV369 @ SY1637 @ SY1638 @ SY1639 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[714]) ).

thf(809,plain,
    ! [SV370: $i,SV298: $i,SV207: $i,SV113: $i,SV19: $i] :
      ( ( ! [SY1640: $i,SY1641: $i,SY1642: $i] :
            ( ~ ( eqangle @ SV19 @ SV113 @ SV207 @ SV298 @ SV370 @ SY1640 @ SY1641 @ SY1642 )
            | ( eqangle @ SV207 @ SV298 @ SV19 @ SV113 @ SY1641 @ SY1642 @ SV370 @ SY1640 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[715]) ).

thf(810,plain,
    ! [SV371: $i,SV299: $i,SV208: $i,SV114: $i,SV20: $i] :
      ( ( ! [SY1643: $i,SY1644: $i,SY1645: $i] :
            ( ~ ( eqangle @ SV20 @ SV114 @ SV208 @ SV299 @ SV371 @ SY1643 @ SY1644 @ SY1645 )
            | ( eqangle @ SV371 @ SY1643 @ SY1644 @ SY1645 @ SV20 @ SV114 @ SV208 @ SV299 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[716]) ).

thf(811,plain,
    ! [SV372: $i,SV300: $i,SV209: $i,SV115: $i,SV21: $i] :
      ( ( ! [SY1646: $i,SY1647: $i,SY1648: $i] :
            ( ~ ( eqangle @ SV21 @ SV115 @ SV209 @ SV300 @ SV372 @ SY1646 @ SY1647 @ SY1648 )
            | ( eqangle @ SV21 @ SV115 @ SV372 @ SY1646 @ SV209 @ SV300 @ SY1647 @ SY1648 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[717]) ).

thf(812,plain,
    ! [SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1649: $i,SY1650: $i,SY1651: $i,SY1652: $i,SY1653: $i,SY1654: $i,SY1655: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SY1649 @ SY1650 @ SY1651 )
            | ~ ( eqangle @ SV373 @ SY1649 @ SY1650 @ SY1651 @ SY1652 @ SY1653 @ SY1654 @ SY1655 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SY1652 @ SY1653 @ SY1654 @ SY1655 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[718]) ).

thf(813,plain,
    ! [SV302: $i,SV211: $i,SV117: $i,SV23: $i] :
      ( ( ( ~ ( cong @ SV23 @ SV117 @ SV211 @ SV302 ) )
        = $true )
      | ( ( cong @ SV23 @ SV117 @ SV302 @ SV211 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[719]) ).

thf(814,plain,
    ! [SV303: $i,SV212: $i,SV118: $i,SV24: $i] :
      ( ( ( ~ ( cong @ SV24 @ SV118 @ SV212 @ SV303 ) )
        = $true )
      | ( ( cong @ SV212 @ SV303 @ SV24 @ SV118 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[720]) ).

thf(815,plain,
    ! [SV374: $i,SV304: $i,SV213: $i,SV119: $i,SV25: $i] :
      ( ( ! [SY1656: $i] :
            ( ~ ( cong @ SV25 @ SV119 @ SV213 @ SV304 )
            | ~ ( cong @ SV213 @ SV304 @ SV374 @ SY1656 )
            | ( cong @ SV25 @ SV119 @ SV374 @ SY1656 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[721]) ).

thf(816,plain,
    ! [SV375: $i,SV305: $i,SV214: $i,SV120: $i,SV26: $i] :
      ( ( ! [SY1657: $i,SY1658: $i,SY1659: $i] :
            ( ~ ( eqratio @ SV26 @ SV120 @ SV214 @ SV305 @ SV375 @ SY1657 @ SY1658 @ SY1659 )
            | ( eqratio @ SV120 @ SV26 @ SV214 @ SV305 @ SV375 @ SY1657 @ SY1658 @ SY1659 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[722]) ).

thf(817,plain,
    ! [SV376: $i,SV306: $i,SV215: $i,SV121: $i,SV27: $i] :
      ( ( ! [SY1660: $i,SY1661: $i,SY1662: $i] :
            ( ~ ( eqratio @ SV27 @ SV121 @ SV215 @ SV306 @ SV376 @ SY1660 @ SY1661 @ SY1662 )
            | ( eqratio @ SV215 @ SV306 @ SV27 @ SV121 @ SY1661 @ SY1662 @ SV376 @ SY1660 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[723]) ).

thf(818,plain,
    ! [SV377: $i,SV307: $i,SV216: $i,SV122: $i,SV28: $i] :
      ( ( ! [SY1663: $i,SY1664: $i,SY1665: $i] :
            ( ~ ( eqratio @ SV28 @ SV122 @ SV216 @ SV307 @ SV377 @ SY1663 @ SY1664 @ SY1665 )
            | ( eqratio @ SV377 @ SY1663 @ SY1664 @ SY1665 @ SV28 @ SV122 @ SV216 @ SV307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[724]) ).

thf(819,plain,
    ! [SV378: $i,SV308: $i,SV217: $i,SV123: $i,SV29: $i] :
      ( ( ! [SY1666: $i,SY1667: $i,SY1668: $i] :
            ( ~ ( eqratio @ SV29 @ SV123 @ SV217 @ SV308 @ SV378 @ SY1666 @ SY1667 @ SY1668 )
            | ( eqratio @ SV29 @ SV123 @ SV378 @ SY1666 @ SV217 @ SV308 @ SY1667 @ SY1668 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[725]) ).

thf(820,plain,
    ! [SV379: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ! [SY1669: $i,SY1670: $i,SY1671: $i,SY1672: $i,SY1673: $i] :
            ( ! [SY1674: $i,SY1675: $i] :
                ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SY1672 @ SY1673 @ SY1674 @ SY1675 )
                | ~ ( eqratio @ SY1672 @ SY1673 @ SY1674 @ SY1675 @ SV379 @ SY1669 @ SY1670 @ SY1671 ) )
            | ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SY1669 @ SY1670 @ SY1671 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[726]) ).

thf(821,plain,
    ! [SV380: $i,SV310: $i,SV125: $i,SV219: $i,SV31: $i] :
      ( ( ! [SY1676: $i] :
            ( ~ ( simtri @ SV31 @ SV219 @ SV125 @ SV310 @ SY1676 @ SV380 )
            | ( simtri @ SV31 @ SV125 @ SV219 @ SV310 @ SV380 @ SY1676 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[727]) ).

thf(822,plain,
    ! [SV311: $i,SV381: $i,SV220: $i,SV32: $i,SV126: $i] :
      ( ( ! [SY1677: $i] :
            ( ~ ( simtri @ SV126 @ SV32 @ SV220 @ SV381 @ SV311 @ SY1677 )
            | ( simtri @ SV32 @ SV126 @ SV220 @ SV311 @ SV381 @ SY1677 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[728]) ).

thf(823,plain,
    ! [SV221: $i,SV127: $i,SV33: $i,SV382: $i,SV312: $i] :
      ( ( ! [SY1678: $i] :
            ( ~ ( simtri @ SV312 @ SV382 @ SY1678 @ SV33 @ SV127 @ SV221 )
            | ( simtri @ SV33 @ SV127 @ SV221 @ SV312 @ SV382 @ SY1678 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[729]) ).

thf(824,plain,
    ! [SV383: $i,SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ! [SY1679: $i,SY1680: $i,SY1681: $i,SY1682: $i] :
            ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SY1679 )
            | ~ ( simtri @ SV313 @ SV383 @ SY1679 @ SY1680 @ SY1681 @ SY1682 )
            | ( simtri @ SV34 @ SV128 @ SV222 @ SY1680 @ SY1681 @ SY1682 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[730]) ).

thf(825,plain,
    ! [SV384: $i,SV314: $i,SV129: $i,SV223: $i,SV35: $i] :
      ( ( ! [SY1683: $i] :
            ( ~ ( contri @ SV35 @ SV223 @ SV129 @ SV314 @ SY1683 @ SV384 )
            | ( contri @ SV35 @ SV129 @ SV223 @ SV314 @ SV384 @ SY1683 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[731]) ).

thf(826,plain,
    ! [SV315: $i,SV385: $i,SV224: $i,SV36: $i,SV130: $i] :
      ( ( ! [SY1684: $i] :
            ( ~ ( contri @ SV130 @ SV36 @ SV224 @ SV385 @ SV315 @ SY1684 )
            | ( contri @ SV36 @ SV130 @ SV224 @ SV315 @ SV385 @ SY1684 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[732]) ).

thf(827,plain,
    ! [SV225: $i,SV131: $i,SV37: $i,SV386: $i,SV316: $i] :
      ( ( ! [SY1685: $i] :
            ( ~ ( contri @ SV316 @ SV386 @ SY1685 @ SV37 @ SV131 @ SV225 )
            | ( contri @ SV37 @ SV131 @ SV225 @ SV316 @ SV386 @ SY1685 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[733]) ).

thf(828,plain,
    ! [SV387: $i,SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ! [SY1686: $i,SY1687: $i,SY1688: $i,SY1689: $i] :
            ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SY1686 )
            | ~ ( contri @ SV317 @ SV387 @ SY1686 @ SY1687 @ SY1688 @ SY1689 )
            | ( contri @ SV38 @ SV132 @ SV226 @ SY1687 @ SY1688 @ SY1689 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[734]) ).

thf(829,plain,
    ! [SV318: $i,SV227: $i,SV133: $i,SV39: $i] :
      ( ( ( ! [SY1579: $i,SY1580: $i] :
              ~ ( eqangle @ SV39 @ SV133 @ SY1579 @ SY1580 @ SV227 @ SV318 @ SY1579 @ SY1580 ) )
        = $true )
      | ( ( para @ SV39 @ SV133 @ SV227 @ SV318 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[735]) ).

thf(830,plain,
    ! [SV319: $i,SV228: $i,SV134: $i,SV40: $i] :
      ( ( ( ~ ( para @ SV40 @ SV134 @ SV228 @ SV319 ) )
        = $true )
      | ( ( ! [SY1581: $i,SY1582: $i] : ( eqangle @ SV40 @ SV134 @ SY1581 @ SY1582 @ SV228 @ SV319 @ SY1581 @ SY1582 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[736]) ).

thf(831,plain,
    ! [SV320: $i,SV229: $i,SV135: $i,SV41: $i] :
      ( ( ( ~ ( cyclic @ SV41 @ SV135 @ SV229 @ SV320 ) )
        = $true )
      | ( ( eqangle @ SV229 @ SV41 @ SV229 @ SV135 @ SV320 @ SV41 @ SV320 @ SV135 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[737]) ).

thf(832,plain,
    ! [SV321: $i,SV136: $i,SV42: $i,SV230: $i] :
      ( ( ( ~ ( eqangle @ SV230 @ SV42 @ SV230 @ SV136 @ SV321 @ SV42 @ SV321 @ SV136 )
          | ( coll @ SV230 @ SV321 @ SV42 ) )
        = $true )
      | ( ( cyclic @ SV42 @ SV136 @ SV230 @ SV321 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[738]) ).

thf(833,plain,
    ! [SV43: $i,SV137: $i,SV322: $i,SV231: $i] :
      ( ( ( ~ ( coll @ SV231 @ SV322 @ SV137 )
          | ~ ( eqangle @ SV231 @ SV43 @ SV231 @ SV137 @ SV322 @ SV43 @ SV322 @ SV137 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV137 @ SV231 @ SV322 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[739]) ).

thf(834,plain,
    ! [SV388: $i,SV323: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ! [SY1690: $i] :
            ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
            | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 )
            | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SY1690 )
            | ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SY1690 @ SV323 @ SY1690 @ SV388 ) )
        | ( cong @ SV44 @ SV138 @ SV323 @ SV388 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[740]) ).

thf(835,plain,
    ! [SV233: $i,SV389: $i,SV139: $i,SV45: $i,SV324: $i] :
      ( ( ~ ( midp @ SV324 @ SV45 @ SV139 )
        | ~ ( midp @ SV389 @ SV45 @ SV233 )
        | ( para @ SV324 @ SV389 @ SV139 @ SV233 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[741]) ).

thf(836,plain,
    ! [SV234: $i,SV390: $i,SV140: $i,SV46: $i,SV325: $i] :
      ( ( ~ ( midp @ SV325 @ SV46 @ SV140 )
        | ~ ( para @ SV325 @ SV390 @ SV140 @ SV234 )
        | ~ ( coll @ SV390 @ SV46 @ SV234 )
        | ( midp @ SV390 @ SV46 @ SV234 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[742]) ).

thf(837,plain,
    ! [SV141: $i,SV47: $i,SV235: $i] :
      ( ( ( cong @ SV235 @ SV47 @ SV235 @ SV141 )
        = $false )
      | ( ( eqangle @ SV235 @ SV47 @ SV47 @ SV141 @ SV47 @ SV141 @ SV235 @ SV141 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(838,plain,
    ! [SV142: $i,SV48: $i,SV236: $i] :
      ( ( ( ~ ( eqangle @ SV236 @ SV48 @ SV48 @ SV142 @ SV48 @ SV142 @ SV236 @ SV142 ) )
        = $true )
      | ( ( coll @ SV236 @ SV48 @ SV142 )
        = $true )
      | ( ( cong @ SV236 @ SV48 @ SV236 @ SV142 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[744]) ).

thf(839,plain,
    ! [SV391: $i,SV237: $i,SV143: $i,SV49: $i,SV326: $i] :
      ( ( ~ ( circle @ SV326 @ SV49 @ SV143 @ SV237 )
        | ~ ( perp @ SV326 @ SV49 @ SV49 @ SV391 )
        | ( eqangle @ SV49 @ SV391 @ SV49 @ SV143 @ SV237 @ SV49 @ SV237 @ SV143 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[745]) ).

thf(840,plain,
    ! [SV392: $i,SV238: $i,SV144: $i,SV50: $i,SV327: $i] :
      ( ( ~ ( circle @ SV327 @ SV50 @ SV144 @ SV238 )
        | ~ ( eqangle @ SV50 @ SV392 @ SV50 @ SV144 @ SV238 @ SV50 @ SV238 @ SV144 )
        | ( perp @ SV327 @ SV50 @ SV50 @ SV392 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[746]) ).

thf(841,plain,
    ! [SV393: $i,SV239: $i,SV145: $i,SV51: $i,SV328: $i] :
      ( ( ~ ( circle @ SV328 @ SV51 @ SV145 @ SV239 )
        | ~ ( midp @ SV393 @ SV145 @ SV239 )
        | ( eqangle @ SV51 @ SV145 @ SV51 @ SV239 @ SV328 @ SV145 @ SV328 @ SV393 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[747]) ).

thf(842,plain,
    ! [SV394: $i,SV240: $i,SV146: $i,SV52: $i,SV329: $i] :
      ( ( ~ ( circle @ SV329 @ SV52 @ SV146 @ SV240 )
        | ~ ( coll @ SV394 @ SV146 @ SV240 )
        | ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SV329 @ SV146 @ SV329 @ SV394 )
        | ( midp @ SV394 @ SV146 @ SV240 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[748]) ).

thf(843,plain,
    ! [SV147: $i,SV241: $i,SV53: $i,SV330: $i] :
      ( ( ( ~ ( midp @ SV330 @ SV53 @ SV241 )
          | ~ ( perp @ SV53 @ SV147 @ SV147 @ SV241 ) )
        = $true )
      | ( ( cong @ SV53 @ SV330 @ SV147 @ SV330 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[749]) ).

thf(844,plain,
    ! [SV242: $i,SV148: $i,SV54: $i,SV395: $i] :
      ( ( ( ~ ( circle @ SV395 @ SV54 @ SV148 @ SV242 )
          | ~ ( coll @ SV395 @ SV54 @ SV242 ) )
        = $true )
      | ( ( perp @ SV54 @ SV148 @ SV148 @ SV242 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[750]) ).

thf(845,plain,
    ! [SV331: $i,SV243: $i,SV149: $i,SV55: $i] :
      ( ( ( ~ ( cyclic @ SV55 @ SV149 @ SV243 @ SV331 )
          | ~ ( para @ SV55 @ SV149 @ SV243 @ SV331 ) )
        = $true )
      | ( ( eqangle @ SV55 @ SV331 @ SV243 @ SV331 @ SV243 @ SV331 @ SV243 @ SV149 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[751]) ).

thf(846,plain,
    ! [SV332: $i,SV150: $i,SV56: $i,SV244: $i] :
      ( ( ( ~ ( midp @ SV244 @ SV56 @ SV150 )
          | ~ ( perp @ SV332 @ SV244 @ SV56 @ SV150 ) )
        = $true )
      | ( ( cong @ SV332 @ SV56 @ SV332 @ SV150 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[752]) ).

thf(847,plain,
    ! [SV333: $i,SV151: $i,SV245: $i,SV57: $i] :
      ( ( ( ~ ( cong @ SV57 @ SV245 @ SV151 @ SV245 )
          | ~ ( cong @ SV57 @ SV333 @ SV151 @ SV333 ) )
        = $true )
      | ( ( perp @ SV57 @ SV151 @ SV245 @ SV333 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[753]) ).

thf(848,plain,
    ! [SV334: $i,SV152: $i,SV246: $i,SV58: $i] :
      ( ( ( ~ ( cong @ SV58 @ SV246 @ SV152 @ SV246 )
          | ~ ( cong @ SV58 @ SV334 @ SV152 @ SV334 )
          | ~ ( cyclic @ SV58 @ SV152 @ SV246 @ SV334 ) )
        = $true )
      | ( ( perp @ SV246 @ SV58 @ SV58 @ SV334 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[754]) ).

thf(849,plain,
    ! [SV396: $i,SV335: $i,SV247: $i,SV153: $i,SV59: $i] :
      ( ( ! [SY1691: $i] :
            ( ~ ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SV335 @ SV396 @ SV396 @ SY1691 )
            | ~ ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SV335 @ SY1691 @ SV396 @ SY1691 )
            | ( coll @ SV59 @ SV153 @ SV247 )
            | ( simtri @ SV59 @ SV153 @ SV247 @ SV335 @ SV396 @ SY1691 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[755]) ).

thf(850,plain,
    ! [SV397: $i,SV336: $i,SV248: $i,SV154: $i,SV60: $i] :
      ( ( ! [SY1692: $i] :
            ( ~ ( simtri @ SV60 @ SV154 @ SV248 @ SV336 @ SV397 @ SY1692 )
            | ( eqratio @ SV60 @ SV154 @ SV60 @ SV248 @ SV336 @ SV397 @ SV336 @ SY1692 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[756]) ).

thf(851,plain,
    ! [SV398: $i,SV337: $i,SV249: $i,SV155: $i,SV61: $i] :
      ( ( ! [SY1693: $i] :
            ( ~ ( simtri @ SV61 @ SV155 @ SV249 @ SV337 @ SV398 @ SY1693 )
            | ( eqangle @ SV61 @ SV155 @ SV155 @ SV249 @ SV337 @ SV398 @ SV398 @ SY1693 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[757]) ).

thf(852,plain,
    ! [SV250: $i,SV399: $i,SV338: $i,SV156: $i,SV62: $i] :
      ( ( ! [SY1694: $i] :
            ( ~ ( cong @ SV62 @ SV156 @ SV338 @ SV399 )
            | ~ ( simtri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SY1694 )
            | ( contri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SY1694 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[758]) ).

thf(853,plain,
    ! [SV400: $i,SV339: $i,SV251: $i,SV157: $i,SV63: $i] :
      ( ( ! [SY1695: $i] :
            ~ ( contri @ SV63 @ SV157 @ SV251 @ SV339 @ SV400 @ SY1695 )
        | ( cong @ SV63 @ SV157 @ SV339 @ SV400 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[759]) ).

thf(854,plain,
    ! [SV340: $i,SV252: $i,SV158: $i,SV64: $i] :
      ( ( ( ! [SY1601: $i] :
              ( ~ ( midp @ SY1601 @ SV64 @ SV158 )
              | ~ ( midp @ SY1601 @ SV252 @ SV340 ) ) )
        = $true )
      | ( ( para @ SV64 @ SV252 @ SV158 @ SV340 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[760]) ).

thf(855,plain,
    ! [SV341: $i,SV253: $i,SV159: $i,SV65: $i,SV401: $i] :
      ( ( ~ ( midp @ SV401 @ SV65 @ SV159 )
        | ~ ( para @ SV65 @ SV253 @ SV159 @ SV341 )
        | ~ ( para @ SV65 @ SV341 @ SV159 @ SV253 )
        | ( midp @ SV401 @ SV253 @ SV341 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[761]) ).

thf(856,plain,
    ! [SV342: $i,SV160: $i,SV254: $i,SV66: $i,SV402: $i] :
      ( ( ~ ( coll @ SV402 @ SV66 @ SV254 )
        | ~ ( para @ SV66 @ SV160 @ SV254 @ SV342 )
        | ~ ( coll @ SV402 @ SV160 @ SV342 )
        | ( eqratio @ SV402 @ SV66 @ SV66 @ SV254 @ SV402 @ SV160 @ SV160 @ SV342 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[762]) ).

thf(857,plain,
    ! [SV255: $i,SV161: $i,SV67: $i] :
      ( ( ( para @ SV67 @ SV161 @ SV67 @ SV255 )
        = $false )
      | ( ( coll @ SV67 @ SV161 @ SV255 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[763]) ).

thf(858,plain,
    ! [SV256: $i,SV162: $i,SV68: $i] :
      ( ( ( ~ ( coll @ SV68 @ SV162 @ SV256 ) )
        = $true )
      | ( ( ~ ( cong @ SV68 @ SV162 @ SV68 @ SV256 ) )
        = $true )
      | ( ( midp @ SV68 @ SV162 @ SV256 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[764]) ).

thf(859,plain,
    ! [SV257: $i,SV163: $i,SV69: $i] :
      ( ( ( midp @ SV69 @ SV163 @ SV257 )
        = $false )
      | ( ( cong @ SV69 @ SV163 @ SV69 @ SV257 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[765]) ).

thf(860,plain,
    ! [SV258: $i,SV164: $i,SV70: $i] :
      ( ( ( midp @ SV70 @ SV164 @ SV258 )
        = $false )
      | ( ( coll @ SV70 @ SV164 @ SV258 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(861,plain,
    ! [SV343: $i,SV259: $i,SV165: $i,SV71: $i,SV403: $i] :
      ( ( ! [SY1696: $i] :
            ( ~ ( midp @ SV403 @ SV71 @ SV165 )
            | ~ ( midp @ SY1696 @ SV259 @ SV343 )
            | ( eqratio @ SV403 @ SV71 @ SV71 @ SV165 @ SY1696 @ SV259 @ SV259 @ SV343 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[767]) ).

thf(862,plain,
    ! [SV344: $i,SV260: $i,SV166: $i,SV72: $i] :
      ( ( ( ~ ( eqangle @ SV72 @ SV166 @ SV260 @ SV344 @ SV260 @ SV344 @ SV72 @ SV166 )
          | ( para @ SV72 @ SV166 @ SV260 @ SV344 ) )
        = $true )
      | ( ( perp @ SV72 @ SV166 @ SV260 @ SV344 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[768]) ).

thf(863,plain,
    ! [SV345: $i,SV261: $i,SV167: $i,SV73: $i] :
      ( ( ( ~ ( eqangle @ SV73 @ SV167 @ SV261 @ SV345 @ SV261 @ SV345 @ SV73 @ SV167 )
          | ( perp @ SV73 @ SV167 @ SV261 @ SV345 ) )
        = $true )
      | ( ( para @ SV73 @ SV167 @ SV261 @ SV345 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[769]) ).

thf(864,plain,
    ! [SV404: $i,SV346: $i,SV262: $i,SV168: $i,SV74: $i] :
      ( ( ! [SY1697: $i] :
            ( ! [SY1698: $i,SY1699: $i] :
                ( ~ ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SV404 @ SY1697 @ SY1698 @ SY1699 )
                | ~ ( para @ SV404 @ SY1697 @ SY1698 @ SY1699 ) )
            | ( para @ SV74 @ SV168 @ SV262 @ SV346 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[770]) ).

thf(865,plain,
    ! [SV405: $i,SV347: $i,SV263: $i,SV169: $i,SV75: $i] :
      ( ( ! [SY1700: $i] :
            ( ! [SY1701: $i,SY1702: $i] :
                ( ~ ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SV405 @ SY1700 @ SY1701 @ SY1702 )
                | ~ ( perp @ SV405 @ SY1700 @ SY1701 @ SY1702 ) )
            | ( perp @ SV75 @ SV169 @ SV263 @ SV347 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[771]) ).

thf(866,plain,
    ! [SV348: $i,SV264: $i,SV170: $i,SV76: $i,SV406: $i] :
      ( ( ! [SY1703: $i] :
            ( ! [SY1704: $i,SY1705: $i] :
                ( ~ ( cong @ SV406 @ SY1703 @ SY1704 @ SY1705 )
                | ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SV406 @ SY1703 @ SY1704 @ SY1705 ) )
            | ( cong @ SV76 @ SV170 @ SV264 @ SV348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[772]) ).

thf(867,plain,
    ! [SV349: $i,SV265: $i,SV171: $i,SV77: $i,SV407: $i] :
      ( ( ! [SY1706: $i] :
            ( ~ ( midp @ SV407 @ SV77 @ SV171 )
            | ~ ( midp @ SY1706 @ SV265 @ SV349 )
            | ~ ( coll @ SV265 @ SV77 @ SV171 )
            | ~ ( coll @ SV349 @ SV77 @ SV171 )
            | ! [SY1707: $i] : ( midp @ ( sK22_P @ SY1707 @ SY1706 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1707 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[773]) ).

thf(868,plain,
    ! [SV266: $i,SV172: $i,SV78: $i,SV350: $i] :
      ( ( ( ~ ( circle @ SV350 @ SV78 @ SV172 @ SV266 ) )
        = $true )
      | ( ( perp @ ( sK17_P @ SV350 @ SV266 @ SV172 @ SV78 ) @ SV78 @ SV78 @ SV350 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[774]) ).

thf(869,plain,
    ! [SV351: $i,SV267: $i,SV173: $i,SV79: $i] :
      ( ( ( ~ ( cyclic @ SV79 @ SV173 @ SV267 @ SV351 )
          | ~ ( para @ SV79 @ SV173 @ SV267 @ SV351 )
          | ! [SY1238: $i] :
              ~ ( midp @ SY1238 @ SV79 @ SV173 ) )
        = $true )
      | ( ( circle @ ( sK14_O @ SV351 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[775]) ).

thf(870,plain,
    ! [SV268: $i,SV174: $i,SV80: $i] :
      ( ( ( ! [SY1473: $i] :
              ~ ( cyclic @ SV80 @ SV174 @ SV268 @ SY1473 ) )
        = $true )
      | ( ( ~ ( perp @ SV80 @ SV268 @ SV268 @ SV174 ) )
        = $true )
      | ( ( circle @ ( sK13_O @ SV268 @ SV174 @ SV80 ) @ SV80 @ SV174 @ SV268 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[776]) ).

thf(871,plain,
    ! [SV352: $i,SV269: $i,SV175: $i,SV81: $i] :
      ( ( ( ~ ( perp @ SV81 @ SV175 @ SV81 @ SV269 )
          | ~ ( perp @ SV269 @ SV81 @ SV269 @ SV352 )
          | ! [SY1622: $i] :
              ~ ( midp @ SY1622 @ SV175 @ SV352 ) )
        = $true )
      | ( ( midp @ ( sK11_P @ SV352 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[777]) ).

thf(872,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ~ ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
            | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
            | ( coll @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[778]) ).

thf(873,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ~ ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
            | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
            | ( cong @ SV270 @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[778]) ).

thf(874,plain,
    ! [SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ! [SY1708: $i] :
            ~ ( ~ ( ~ ( coll @ SV408 @ SV83 @ SV271 )
                  | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
                  | ~ ( coll @ SV408 @ SV177 @ SV353 )
                  | ~ ( coll @ SY1708 @ SV83 @ SV177 )
                  | ( coll @ SV408 @ SY1708 @ ( sK9_R @ SY1708 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) ) )
              | ~ ( ~ ( coll @ SV408 @ SV83 @ SV271 )
                  | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
                  | ~ ( coll @ SV408 @ SV177 @ SV353 )
                  | ~ ( coll @ SY1708 @ SV83 @ SV177 )
                  | ( coll @ ( sK9_R @ SY1708 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[779]) ).

thf(875,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ~ ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
            | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
            | ( coll @ SV178 @ SV84 @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) ) )
        | ~ ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
            | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
            | ( coll @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SV354 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[780]) ).

thf(876,plain,
    ! [SV355: $i,SV273: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ! [SY1709: $i] :
            ~ ( ~ ~ ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                        | ~ ( midp @ SY1709 @ SV273 @ SV355 )
                        | ( midp @ ( sK23_P @ SY1709 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) )
                    | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                        | ~ ( midp @ SY1709 @ SV273 @ SV355 )
                        | ( para @ ( sK23_P @ SY1709 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 ) ) )
              | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                  | ~ ( midp @ SY1709 @ SV273 @ SV355 )
                  | ( para @ ( sK23_P @ SY1709 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SY1709 @ SV85 @ SV273 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[781]) ).

thf(877,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ~ ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
            | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
            | ( coll @ SV180 @ SV86 @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) ) )
        | ~ ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
            | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
            | ( coll @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SV356 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(878,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ~ ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
            | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
            | ( coll @ SV181 @ SV87 @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) ) )
        | ~ ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
            | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
            | ( coll @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SV357 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[783]) ).

thf(879,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i] :
      ( ( ! [SY1710: $i] :
            ~ ( ~ ( ~ ( midp @ SY1710 @ SV88 @ SV182 )
                  | ~ ( para @ SV88 @ SV276 @ SV410 @ SY1710 )
                  | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
                  | ~ ( coll @ SV276 @ SV358 @ SV410 )
                  | ( coll @ ( sK21_X @ SY1710 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 ) )
              | ~ ( ~ ( midp @ SY1710 @ SV88 @ SV182 )
                  | ~ ( para @ SV88 @ SV276 @ SV410 @ SY1710 )
                  | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
                  | ~ ( coll @ SV276 @ SV358 @ SV410 )
                  | ( coll @ ( sK21_X @ SY1710 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SY1710 @ SV410 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[784]) ).

thf(880,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ! [SY1711: $i] :
            ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV411 = SY1711 )
                              | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                              | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                              | ~ ( cong @ SY1711 @ SV89 @ SY1711 @ SV183 )
                              | ( coll @ ( sK15_P @ SY1711 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
                          | ~ ( ( SV411 = SY1711 )
                              | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                              | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                              | ~ ( cong @ SY1711 @ SV89 @ SY1711 @ SV183 )
                              | ( cong @ ( sK15_P @ SY1711 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SY1711 @ SY1711 @ SV89 ) ) )
                    | ~ ( ( SV411 = SY1711 )
                        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                        | ~ ( cong @ SY1711 @ SV89 @ SY1711 @ SV183 )
                        | ( coll @ ( sK16_SY558 @ SY1711 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) ) )
              | ~ ( ( SV411 = SY1711 )
                  | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                  | ~ ( cong @ SY1711 @ SV89 @ SY1711 @ SV183 )
                  | ( cong @ ( sK16_SY558 @ SY1711 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SY1711 @ SY1711 @ SV89 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[785]) ).

thf(881,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ~ ( ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
                | ( coll @ SV90 @ SV184 @ SV278 )
                | ( cyclic @ SV360 @ SV184 @ SV278 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) ) )
            | ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
                | ( coll @ SV90 @ SV184 @ SV278 )
                | ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[786]) ).

thf(882,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ~ ( ~ ( ~ ( coll @ SV185 @ SV361 @ SV413 )
                | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
                | ( coll @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SV413 ) )
            | ~ ( ~ ( coll @ SV185 @ SV361 @ SV413 )
                | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
                | ( perp @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SV413 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[787]) ).

thf(883,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ~ ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
            | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
            | ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 ) )
        | ~ ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
            | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
            | ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SV362 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[788]) ).

thf(884,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                      | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                      | ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) )
                  | ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                      | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                      | ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) ) )
            | ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                | ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[789]) ).

thf(885,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                        | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                        | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
                    | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                        | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                        | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
              | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                  | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                  | ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) )
        | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
            | ( perp @ SV188 @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(886,plain,
    ! [SV283: $i,SV191: $i,SV97: $i,SV3: $i] :
      ( ( ( ~ ( coll @ SV3 @ SV97 @ SV191 ) )
        = $true )
      | ( ( ~ ( coll @ SV3 @ SV97 @ SV283 ) )
        = $true )
      | ( ( coll @ SV191 @ SV283 @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[793]) ).

thf(887,plain,
    ! [SV284: $i,SV192: $i,SV98: $i,SV4: $i] :
      ( ( ( para @ SV4 @ SV98 @ SV192 @ SV284 )
        = $false )
      | ( ( para @ SV4 @ SV98 @ SV284 @ SV192 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[794]) ).

thf(888,plain,
    ! [SV285: $i,SV193: $i,SV99: $i,SV5: $i] :
      ( ( ( para @ SV5 @ SV99 @ SV193 @ SV285 )
        = $false )
      | ( ( para @ SV193 @ SV285 @ SV5 @ SV99 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[795]) ).

thf(889,plain,
    ! [SV415: $i,SV365: $i,SV286: $i,SV194: $i,SV100: $i,SV6: $i] :
      ( ( ~ ( para @ SV6 @ SV100 @ SV194 @ SV286 )
        | ~ ( para @ SV194 @ SV286 @ SV365 @ SV415 )
        | ( para @ SV6 @ SV100 @ SV365 @ SV415 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[796]) ).

thf(890,plain,
    ! [SV287: $i,SV195: $i,SV101: $i,SV7: $i] :
      ( ( ( perp @ SV7 @ SV101 @ SV195 @ SV287 )
        = $false )
      | ( ( perp @ SV7 @ SV101 @ SV287 @ SV195 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[797]) ).

thf(891,plain,
    ! [SV288: $i,SV196: $i,SV102: $i,SV8: $i] :
      ( ( ( perp @ SV8 @ SV102 @ SV196 @ SV288 )
        = $false )
      | ( ( perp @ SV196 @ SV288 @ SV8 @ SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[798]) ).

thf(892,plain,
    ! [SV416: $i,SV366: $i,SV289: $i,SV197: $i,SV103: $i,SV9: $i] :
      ( ( ~ ( perp @ SV9 @ SV103 @ SV197 @ SV289 )
        | ~ ( perp @ SV197 @ SV289 @ SV366 @ SV416 )
        | ( para @ SV9 @ SV103 @ SV366 @ SV416 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[799]) ).

thf(893,plain,
    ! [SV417: $i,SV367: $i,SV290: $i,SV198: $i,SV104: $i,SV10: $i] :
      ( ( ~ ( para @ SV10 @ SV104 @ SV198 @ SV290 )
        | ~ ( perp @ SV198 @ SV290 @ SV367 @ SV417 )
        | ( perp @ SV10 @ SV104 @ SV367 @ SV417 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[800]) ).

thf(894,plain,
    ! [SV200: $i,SV106: $i,SV12: $i,SV291: $i] :
      ( ( ( ~ ( cong @ SV291 @ SV12 @ SV291 @ SV106 ) )
        = $true )
      | ( ( ~ ( cong @ SV291 @ SV12 @ SV291 @ SV200 ) )
        = $true )
      | ( ( circle @ SV291 @ SV12 @ SV106 @ SV200 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[802]) ).

thf(895,plain,
    ! [SV292: $i,SV201: $i,SV107: $i,SV13: $i,SV418: $i] :
      ( ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV107 )
          | ~ ( cong @ SV418 @ SV13 @ SV418 @ SV201 )
          | ~ ( cong @ SV418 @ SV13 @ SV418 @ SV292 ) )
        = $true )
      | ( ( cyclic @ SV13 @ SV107 @ SV201 @ SV292 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[803]) ).

thf(896,plain,
    ! [SV293: $i,SV202: $i,SV108: $i,SV14: $i] :
      ( ( ( cyclic @ SV14 @ SV108 @ SV202 @ SV293 )
        = $false )
      | ( ( cyclic @ SV14 @ SV108 @ SV293 @ SV202 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[804]) ).

thf(897,plain,
    ! [SV294: $i,SV203: $i,SV109: $i,SV15: $i] :
      ( ( ( cyclic @ SV15 @ SV109 @ SV203 @ SV294 )
        = $false )
      | ( ( cyclic @ SV15 @ SV203 @ SV109 @ SV294 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[805]) ).

thf(898,plain,
    ! [SV295: $i,SV204: $i,SV110: $i,SV16: $i] :
      ( ( ( cyclic @ SV16 @ SV110 @ SV204 @ SV295 )
        = $false )
      | ( ( cyclic @ SV110 @ SV16 @ SV204 @ SV295 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[806]) ).

thf(899,plain,
    ! [SV368: $i,SV296: $i,SV205: $i,SV111: $i,SV17: $i] :
      ( ( ( ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SV296 )
          | ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SV368 ) )
        = $true )
      | ( ( cyclic @ SV111 @ SV205 @ SV296 @ SV368 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[807]) ).

thf(900,plain,
    ! [SV419: $i,SV369: $i,SV297: $i,SV206: $i,SV112: $i,SV18: $i] :
      ( ( ! [SY1712: $i,SY1713: $i] :
            ( ~ ( eqangle @ SV18 @ SV112 @ SV206 @ SV297 @ SV369 @ SV419 @ SY1712 @ SY1713 )
            | ( eqangle @ SV112 @ SV18 @ SV206 @ SV297 @ SV369 @ SV419 @ SY1712 @ SY1713 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[808]) ).

thf(901,plain,
    ! [SV420: $i,SV370: $i,SV298: $i,SV207: $i,SV113: $i,SV19: $i] :
      ( ( ! [SY1714: $i,SY1715: $i] :
            ( ~ ( eqangle @ SV19 @ SV113 @ SV207 @ SV298 @ SV370 @ SV420 @ SY1714 @ SY1715 )
            | ( eqangle @ SV207 @ SV298 @ SV19 @ SV113 @ SY1714 @ SY1715 @ SV370 @ SV420 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[809]) ).

thf(902,plain,
    ! [SV421: $i,SV371: $i,SV299: $i,SV208: $i,SV114: $i,SV20: $i] :
      ( ( ! [SY1716: $i,SY1717: $i] :
            ( ~ ( eqangle @ SV20 @ SV114 @ SV208 @ SV299 @ SV371 @ SV421 @ SY1716 @ SY1717 )
            | ( eqangle @ SV371 @ SV421 @ SY1716 @ SY1717 @ SV20 @ SV114 @ SV208 @ SV299 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[810]) ).

thf(903,plain,
    ! [SV422: $i,SV372: $i,SV300: $i,SV209: $i,SV115: $i,SV21: $i] :
      ( ( ! [SY1718: $i,SY1719: $i] :
            ( ~ ( eqangle @ SV21 @ SV115 @ SV209 @ SV300 @ SV372 @ SV422 @ SY1718 @ SY1719 )
            | ( eqangle @ SV21 @ SV115 @ SV372 @ SV422 @ SV209 @ SV300 @ SY1718 @ SY1719 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[811]) ).

thf(904,plain,
    ! [SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1720: $i,SY1721: $i,SY1722: $i,SY1723: $i,SY1724: $i,SY1725: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SY1720 @ SY1721 )
            | ~ ( eqangle @ SV373 @ SV423 @ SY1720 @ SY1721 @ SY1722 @ SY1723 @ SY1724 @ SY1725 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SY1722 @ SY1723 @ SY1724 @ SY1725 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[812]) ).

thf(905,plain,
    ! [SV302: $i,SV211: $i,SV117: $i,SV23: $i] :
      ( ( ( cong @ SV23 @ SV117 @ SV211 @ SV302 )
        = $false )
      | ( ( cong @ SV23 @ SV117 @ SV302 @ SV211 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[813]) ).

thf(906,plain,
    ! [SV303: $i,SV212: $i,SV118: $i,SV24: $i] :
      ( ( ( cong @ SV24 @ SV118 @ SV212 @ SV303 )
        = $false )
      | ( ( cong @ SV212 @ SV303 @ SV24 @ SV118 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[814]) ).

thf(907,plain,
    ! [SV424: $i,SV374: $i,SV304: $i,SV213: $i,SV119: $i,SV25: $i] :
      ( ( ~ ( cong @ SV25 @ SV119 @ SV213 @ SV304 )
        | ~ ( cong @ SV213 @ SV304 @ SV374 @ SV424 )
        | ( cong @ SV25 @ SV119 @ SV374 @ SV424 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[815]) ).

thf(908,plain,
    ! [SV425: $i,SV375: $i,SV305: $i,SV214: $i,SV120: $i,SV26: $i] :
      ( ( ! [SY1726: $i,SY1727: $i] :
            ( ~ ( eqratio @ SV26 @ SV120 @ SV214 @ SV305 @ SV375 @ SV425 @ SY1726 @ SY1727 )
            | ( eqratio @ SV120 @ SV26 @ SV214 @ SV305 @ SV375 @ SV425 @ SY1726 @ SY1727 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[816]) ).

thf(909,plain,
    ! [SV426: $i,SV376: $i,SV306: $i,SV215: $i,SV121: $i,SV27: $i] :
      ( ( ! [SY1728: $i,SY1729: $i] :
            ( ~ ( eqratio @ SV27 @ SV121 @ SV215 @ SV306 @ SV376 @ SV426 @ SY1728 @ SY1729 )
            | ( eqratio @ SV215 @ SV306 @ SV27 @ SV121 @ SY1728 @ SY1729 @ SV376 @ SV426 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[817]) ).

thf(910,plain,
    ! [SV427: $i,SV377: $i,SV307: $i,SV216: $i,SV122: $i,SV28: $i] :
      ( ( ! [SY1730: $i,SY1731: $i] :
            ( ~ ( eqratio @ SV28 @ SV122 @ SV216 @ SV307 @ SV377 @ SV427 @ SY1730 @ SY1731 )
            | ( eqratio @ SV377 @ SV427 @ SY1730 @ SY1731 @ SV28 @ SV122 @ SV216 @ SV307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[818]) ).

thf(911,plain,
    ! [SV428: $i,SV378: $i,SV308: $i,SV217: $i,SV123: $i,SV29: $i] :
      ( ( ! [SY1732: $i,SY1733: $i] :
            ( ~ ( eqratio @ SV29 @ SV123 @ SV217 @ SV308 @ SV378 @ SV428 @ SY1732 @ SY1733 )
            | ( eqratio @ SV29 @ SV123 @ SV378 @ SV428 @ SV217 @ SV308 @ SY1732 @ SY1733 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[819]) ).

thf(912,plain,
    ! [SV429: $i,SV379: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ! [SY1734: $i,SY1735: $i,SY1736: $i,SY1737: $i] :
            ( ! [SY1738: $i,SY1739: $i] :
                ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SY1736 @ SY1737 @ SY1738 @ SY1739 )
                | ~ ( eqratio @ SY1736 @ SY1737 @ SY1738 @ SY1739 @ SV379 @ SV429 @ SY1734 @ SY1735 ) )
            | ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SY1734 @ SY1735 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[820]) ).

thf(913,plain,
    ! [SV380: $i,SV430: $i,SV310: $i,SV125: $i,SV219: $i,SV31: $i] :
      ( ( ~ ( simtri @ SV31 @ SV219 @ SV125 @ SV310 @ SV430 @ SV380 )
        | ( simtri @ SV31 @ SV125 @ SV219 @ SV310 @ SV380 @ SV430 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[821]) ).

thf(914,plain,
    ! [SV431: $i,SV311: $i,SV381: $i,SV220: $i,SV32: $i,SV126: $i] :
      ( ( ~ ( simtri @ SV126 @ SV32 @ SV220 @ SV381 @ SV311 @ SV431 )
        | ( simtri @ SV32 @ SV126 @ SV220 @ SV311 @ SV381 @ SV431 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[822]) ).

thf(915,plain,
    ! [SV221: $i,SV127: $i,SV33: $i,SV432: $i,SV382: $i,SV312: $i] :
      ( ( ~ ( simtri @ SV312 @ SV382 @ SV432 @ SV33 @ SV127 @ SV221 )
        | ( simtri @ SV33 @ SV127 @ SV221 @ SV312 @ SV382 @ SV432 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[823]) ).

thf(916,plain,
    ! [SV433: $i,SV383: $i,SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ! [SY1740: $i,SY1741: $i,SY1742: $i] :
            ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SV433 )
            | ~ ( simtri @ SV313 @ SV383 @ SV433 @ SY1740 @ SY1741 @ SY1742 )
            | ( simtri @ SV34 @ SV128 @ SV222 @ SY1740 @ SY1741 @ SY1742 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[824]) ).

thf(917,plain,
    ! [SV384: $i,SV434: $i,SV314: $i,SV129: $i,SV223: $i,SV35: $i] :
      ( ( ~ ( contri @ SV35 @ SV223 @ SV129 @ SV314 @ SV434 @ SV384 )
        | ( contri @ SV35 @ SV129 @ SV223 @ SV314 @ SV384 @ SV434 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[825]) ).

thf(918,plain,
    ! [SV435: $i,SV315: $i,SV385: $i,SV224: $i,SV36: $i,SV130: $i] :
      ( ( ~ ( contri @ SV130 @ SV36 @ SV224 @ SV385 @ SV315 @ SV435 )
        | ( contri @ SV36 @ SV130 @ SV224 @ SV315 @ SV385 @ SV435 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[826]) ).

thf(919,plain,
    ! [SV225: $i,SV131: $i,SV37: $i,SV436: $i,SV386: $i,SV316: $i] :
      ( ( ~ ( contri @ SV316 @ SV386 @ SV436 @ SV37 @ SV131 @ SV225 )
        | ( contri @ SV37 @ SV131 @ SV225 @ SV316 @ SV386 @ SV436 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[827]) ).

thf(920,plain,
    ! [SV437: $i,SV387: $i,SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ! [SY1743: $i,SY1744: $i,SY1745: $i] :
            ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SV437 )
            | ~ ( contri @ SV317 @ SV387 @ SV437 @ SY1743 @ SY1744 @ SY1745 )
            | ( contri @ SV38 @ SV132 @ SV226 @ SY1743 @ SY1744 @ SY1745 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[828]) ).

thf(921,plain,
    ! [SV318: $i,SV227: $i,SV438: $i,SV133: $i,SV39: $i] :
      ( ( ( ! [SY1746: $i] :
              ~ ( eqangle @ SV39 @ SV133 @ SV438 @ SY1746 @ SV227 @ SV318 @ SV438 @ SY1746 ) )
        = $true )
      | ( ( para @ SV39 @ SV133 @ SV227 @ SV318 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[829]) ).

thf(922,plain,
    ! [SV319: $i,SV228: $i,SV134: $i,SV40: $i] :
      ( ( ( para @ SV40 @ SV134 @ SV228 @ SV319 )
        = $false )
      | ( ( ! [SY1581: $i,SY1582: $i] : ( eqangle @ SV40 @ SV134 @ SY1581 @ SY1582 @ SV228 @ SV319 @ SY1581 @ SY1582 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[830]) ).

thf(923,plain,
    ! [SV320: $i,SV229: $i,SV135: $i,SV41: $i] :
      ( ( ( cyclic @ SV41 @ SV135 @ SV229 @ SV320 )
        = $false )
      | ( ( eqangle @ SV229 @ SV41 @ SV229 @ SV135 @ SV320 @ SV41 @ SV320 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(924,plain,
    ! [SV321: $i,SV136: $i,SV42: $i,SV230: $i] :
      ( ( ( ~ ( eqangle @ SV230 @ SV42 @ SV230 @ SV136 @ SV321 @ SV42 @ SV321 @ SV136 ) )
        = $true )
      | ( ( coll @ SV230 @ SV321 @ SV42 )
        = $true )
      | ( ( cyclic @ SV42 @ SV136 @ SV230 @ SV321 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[832]) ).

thf(925,plain,
    ! [SV43: $i,SV137: $i,SV322: $i,SV231: $i] :
      ( ( ( ~ ( coll @ SV231 @ SV322 @ SV137 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV231 @ SV43 @ SV231 @ SV137 @ SV322 @ SV43 @ SV322 @ SV137 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV137 @ SV231 @ SV322 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[833]) ).

thf(926,plain,
    ! [SV388: $i,SV323: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ( ! [SY1690: $i] :
              ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
              | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 )
              | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SY1690 )
              | ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SY1690 @ SV323 @ SY1690 @ SV388 ) ) )
        = $true )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[834]) ).

thf(927,plain,
    ! [SV233: $i,SV389: $i,SV139: $i,SV45: $i,SV324: $i] :
      ( ( ( ~ ( midp @ SV324 @ SV45 @ SV139 )
          | ~ ( midp @ SV389 @ SV45 @ SV233 ) )
        = $true )
      | ( ( para @ SV324 @ SV389 @ SV139 @ SV233 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[835]) ).

thf(928,plain,
    ! [SV234: $i,SV390: $i,SV140: $i,SV46: $i,SV325: $i] :
      ( ( ( ~ ( midp @ SV325 @ SV46 @ SV140 )
          | ~ ( para @ SV325 @ SV390 @ SV140 @ SV234 )
          | ~ ( coll @ SV390 @ SV46 @ SV234 ) )
        = $true )
      | ( ( midp @ SV390 @ SV46 @ SV234 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[836]) ).

thf(929,plain,
    ! [SV142: $i,SV48: $i,SV236: $i] :
      ( ( ( eqangle @ SV236 @ SV48 @ SV48 @ SV142 @ SV48 @ SV142 @ SV236 @ SV142 )
        = $false )
      | ( ( coll @ SV236 @ SV48 @ SV142 )
        = $true )
      | ( ( cong @ SV236 @ SV48 @ SV236 @ SV142 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[838]) ).

thf(930,plain,
    ! [SV391: $i,SV237: $i,SV143: $i,SV49: $i,SV326: $i] :
      ( ( ( ~ ( circle @ SV326 @ SV49 @ SV143 @ SV237 )
          | ~ ( perp @ SV326 @ SV49 @ SV49 @ SV391 ) )
        = $true )
      | ( ( eqangle @ SV49 @ SV391 @ SV49 @ SV143 @ SV237 @ SV49 @ SV237 @ SV143 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[839]) ).

thf(931,plain,
    ! [SV392: $i,SV238: $i,SV144: $i,SV50: $i,SV327: $i] :
      ( ( ( ~ ( circle @ SV327 @ SV50 @ SV144 @ SV238 )
          | ~ ( eqangle @ SV50 @ SV392 @ SV50 @ SV144 @ SV238 @ SV50 @ SV238 @ SV144 ) )
        = $true )
      | ( ( perp @ SV327 @ SV50 @ SV50 @ SV392 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[840]) ).

thf(932,plain,
    ! [SV393: $i,SV239: $i,SV145: $i,SV51: $i,SV328: $i] :
      ( ( ( ~ ( circle @ SV328 @ SV51 @ SV145 @ SV239 )
          | ~ ( midp @ SV393 @ SV145 @ SV239 ) )
        = $true )
      | ( ( eqangle @ SV51 @ SV145 @ SV51 @ SV239 @ SV328 @ SV145 @ SV328 @ SV393 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[841]) ).

thf(933,plain,
    ! [SV394: $i,SV240: $i,SV146: $i,SV52: $i,SV329: $i] :
      ( ( ( ~ ( circle @ SV329 @ SV52 @ SV146 @ SV240 )
          | ~ ( coll @ SV394 @ SV146 @ SV240 )
          | ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SV329 @ SV146 @ SV329 @ SV394 ) )
        = $true )
      | ( ( midp @ SV394 @ SV146 @ SV240 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[842]) ).

thf(934,plain,
    ! [SV147: $i,SV241: $i,SV53: $i,SV330: $i] :
      ( ( ( ~ ( midp @ SV330 @ SV53 @ SV241 ) )
        = $true )
      | ( ( ~ ( perp @ SV53 @ SV147 @ SV147 @ SV241 ) )
        = $true )
      | ( ( cong @ SV53 @ SV330 @ SV147 @ SV330 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[843]) ).

thf(935,plain,
    ! [SV242: $i,SV148: $i,SV54: $i,SV395: $i] :
      ( ( ( ~ ( circle @ SV395 @ SV54 @ SV148 @ SV242 ) )
        = $true )
      | ( ( ~ ( coll @ SV395 @ SV54 @ SV242 ) )
        = $true )
      | ( ( perp @ SV54 @ SV148 @ SV148 @ SV242 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[844]) ).

thf(936,plain,
    ! [SV331: $i,SV243: $i,SV149: $i,SV55: $i] :
      ( ( ( ~ ( cyclic @ SV55 @ SV149 @ SV243 @ SV331 ) )
        = $true )
      | ( ( ~ ( para @ SV55 @ SV149 @ SV243 @ SV331 ) )
        = $true )
      | ( ( eqangle @ SV55 @ SV331 @ SV243 @ SV331 @ SV243 @ SV331 @ SV243 @ SV149 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[845]) ).

thf(937,plain,
    ! [SV332: $i,SV150: $i,SV56: $i,SV244: $i] :
      ( ( ( ~ ( midp @ SV244 @ SV56 @ SV150 ) )
        = $true )
      | ( ( ~ ( perp @ SV332 @ SV244 @ SV56 @ SV150 ) )
        = $true )
      | ( ( cong @ SV332 @ SV56 @ SV332 @ SV150 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[846]) ).

thf(938,plain,
    ! [SV333: $i,SV151: $i,SV245: $i,SV57: $i] :
      ( ( ( ~ ( cong @ SV57 @ SV245 @ SV151 @ SV245 ) )
        = $true )
      | ( ( ~ ( cong @ SV57 @ SV333 @ SV151 @ SV333 ) )
        = $true )
      | ( ( perp @ SV57 @ SV151 @ SV245 @ SV333 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[847]) ).

thf(939,plain,
    ! [SV334: $i,SV152: $i,SV246: $i,SV58: $i] :
      ( ( ( ~ ( cong @ SV58 @ SV246 @ SV152 @ SV246 )
          | ~ ( cong @ SV58 @ SV334 @ SV152 @ SV334 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV58 @ SV152 @ SV246 @ SV334 ) )
        = $true )
      | ( ( perp @ SV246 @ SV58 @ SV58 @ SV334 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[848]) ).

thf(940,plain,
    ! [SV439: $i,SV396: $i,SV335: $i,SV247: $i,SV153: $i,SV59: $i] :
      ( ( ~ ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SV335 @ SV396 @ SV396 @ SV439 )
        | ~ ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SV335 @ SV439 @ SV396 @ SV439 )
        | ( coll @ SV59 @ SV153 @ SV247 )
        | ( simtri @ SV59 @ SV153 @ SV247 @ SV335 @ SV396 @ SV439 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[849]) ).

thf(941,plain,
    ! [SV440: $i,SV397: $i,SV336: $i,SV248: $i,SV154: $i,SV60: $i] :
      ( ( ~ ( simtri @ SV60 @ SV154 @ SV248 @ SV336 @ SV397 @ SV440 )
        | ( eqratio @ SV60 @ SV154 @ SV60 @ SV248 @ SV336 @ SV397 @ SV336 @ SV440 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[850]) ).

thf(942,plain,
    ! [SV441: $i,SV398: $i,SV337: $i,SV249: $i,SV155: $i,SV61: $i] :
      ( ( ~ ( simtri @ SV61 @ SV155 @ SV249 @ SV337 @ SV398 @ SV441 )
        | ( eqangle @ SV61 @ SV155 @ SV155 @ SV249 @ SV337 @ SV398 @ SV398 @ SV441 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[851]) ).

thf(943,plain,
    ! [SV442: $i,SV250: $i,SV399: $i,SV338: $i,SV156: $i,SV62: $i] :
      ( ( ~ ( cong @ SV62 @ SV156 @ SV338 @ SV399 )
        | ~ ( simtri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 )
        | ( contri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[852]) ).

thf(944,plain,
    ! [SV400: $i,SV339: $i,SV251: $i,SV157: $i,SV63: $i] :
      ( ( ( ! [SY1695: $i] :
              ~ ( contri @ SV63 @ SV157 @ SV251 @ SV339 @ SV400 @ SY1695 ) )
        = $true )
      | ( ( cong @ SV63 @ SV157 @ SV339 @ SV400 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[853]) ).

thf(945,plain,
    ! [SV340: $i,SV252: $i,SV158: $i,SV64: $i,SV443: $i] :
      ( ( ( ~ ( midp @ SV443 @ SV64 @ SV158 )
          | ~ ( midp @ SV443 @ SV252 @ SV340 ) )
        = $true )
      | ( ( para @ SV64 @ SV252 @ SV158 @ SV340 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[854]) ).

thf(946,plain,
    ! [SV341: $i,SV253: $i,SV159: $i,SV65: $i,SV401: $i] :
      ( ( ( ~ ( midp @ SV401 @ SV65 @ SV159 )
          | ~ ( para @ SV65 @ SV253 @ SV159 @ SV341 )
          | ~ ( para @ SV65 @ SV341 @ SV159 @ SV253 ) )
        = $true )
      | ( ( midp @ SV401 @ SV253 @ SV341 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[855]) ).

thf(947,plain,
    ! [SV342: $i,SV160: $i,SV254: $i,SV66: $i,SV402: $i] :
      ( ( ( ~ ( coll @ SV402 @ SV66 @ SV254 )
          | ~ ( para @ SV66 @ SV160 @ SV254 @ SV342 )
          | ~ ( coll @ SV402 @ SV160 @ SV342 ) )
        = $true )
      | ( ( eqratio @ SV402 @ SV66 @ SV66 @ SV254 @ SV402 @ SV160 @ SV160 @ SV342 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[856]) ).

thf(948,plain,
    ! [SV256: $i,SV162: $i,SV68: $i] :
      ( ( ( coll @ SV68 @ SV162 @ SV256 )
        = $false )
      | ( ( ~ ( cong @ SV68 @ SV162 @ SV68 @ SV256 ) )
        = $true )
      | ( ( midp @ SV68 @ SV162 @ SV256 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(949,plain,
    ! [SV343: $i,SV259: $i,SV444: $i,SV165: $i,SV71: $i,SV403: $i] :
      ( ( ~ ( midp @ SV403 @ SV71 @ SV165 )
        | ~ ( midp @ SV444 @ SV259 @ SV343 )
        | ( eqratio @ SV403 @ SV71 @ SV71 @ SV165 @ SV444 @ SV259 @ SV259 @ SV343 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[861]) ).

thf(950,plain,
    ! [SV344: $i,SV260: $i,SV166: $i,SV72: $i] :
      ( ( ( ~ ( eqangle @ SV72 @ SV166 @ SV260 @ SV344 @ SV260 @ SV344 @ SV72 @ SV166 ) )
        = $true )
      | ( ( para @ SV72 @ SV166 @ SV260 @ SV344 )
        = $true )
      | ( ( perp @ SV72 @ SV166 @ SV260 @ SV344 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[862]) ).

thf(951,plain,
    ! [SV345: $i,SV261: $i,SV167: $i,SV73: $i] :
      ( ( ( ~ ( eqangle @ SV73 @ SV167 @ SV261 @ SV345 @ SV261 @ SV345 @ SV73 @ SV167 ) )
        = $true )
      | ( ( perp @ SV73 @ SV167 @ SV261 @ SV345 )
        = $true )
      | ( ( para @ SV73 @ SV167 @ SV261 @ SV345 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[863]) ).

thf(952,plain,
    ! [SV445: $i,SV404: $i,SV346: $i,SV262: $i,SV168: $i,SV74: $i] :
      ( ( ! [SY1747: $i,SY1748: $i] :
            ( ~ ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SV404 @ SV445 @ SY1747 @ SY1748 )
            | ~ ( para @ SV404 @ SV445 @ SY1747 @ SY1748 ) )
        | ( para @ SV74 @ SV168 @ SV262 @ SV346 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[864]) ).

thf(953,plain,
    ! [SV446: $i,SV405: $i,SV347: $i,SV263: $i,SV169: $i,SV75: $i] :
      ( ( ! [SY1749: $i,SY1750: $i] :
            ( ~ ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SV405 @ SV446 @ SY1749 @ SY1750 )
            | ~ ( perp @ SV405 @ SV446 @ SY1749 @ SY1750 ) )
        | ( perp @ SV75 @ SV169 @ SV263 @ SV347 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[865]) ).

thf(954,plain,
    ! [SV348: $i,SV264: $i,SV170: $i,SV76: $i,SV447: $i,SV406: $i] :
      ( ( ! [SY1751: $i,SY1752: $i] :
            ( ~ ( cong @ SV406 @ SV447 @ SY1751 @ SY1752 )
            | ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SV406 @ SV447 @ SY1751 @ SY1752 ) )
        | ( cong @ SV76 @ SV170 @ SV264 @ SV348 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[866]) ).

thf(955,plain,
    ! [SV349: $i,SV265: $i,SV448: $i,SV171: $i,SV77: $i,SV407: $i] :
      ( ( ~ ( midp @ SV407 @ SV77 @ SV171 )
        | ~ ( midp @ SV448 @ SV265 @ SV349 )
        | ~ ( coll @ SV265 @ SV77 @ SV171 )
        | ~ ( coll @ SV349 @ SV77 @ SV171 )
        | ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[867]) ).

thf(956,plain,
    ! [SV266: $i,SV172: $i,SV78: $i,SV350: $i] :
      ( ( ( circle @ SV350 @ SV78 @ SV172 @ SV266 )
        = $false )
      | ( ( perp @ ( sK17_P @ SV350 @ SV266 @ SV172 @ SV78 ) @ SV78 @ SV78 @ SV350 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(957,plain,
    ! [SV351: $i,SV267: $i,SV173: $i,SV79: $i] :
      ( ( ( ~ ( cyclic @ SV79 @ SV173 @ SV267 @ SV351 )
          | ~ ( para @ SV79 @ SV173 @ SV267 @ SV351 ) )
        = $true )
      | ( ( ! [SY1238: $i] :
              ~ ( midp @ SY1238 @ SV79 @ SV173 ) )
        = $true )
      | ( ( circle @ ( sK14_O @ SV351 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[869]) ).

thf(958,plain,
    ! [SV449: $i,SV268: $i,SV174: $i,SV80: $i] :
      ( ( ( ~ ( cyclic @ SV80 @ SV174 @ SV268 @ SV449 ) )
        = $true )
      | ( ( ~ ( perp @ SV80 @ SV268 @ SV268 @ SV174 ) )
        = $true )
      | ( ( circle @ ( sK13_O @ SV268 @ SV174 @ SV80 ) @ SV80 @ SV174 @ SV268 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[870]) ).

thf(959,plain,
    ! [SV352: $i,SV269: $i,SV175: $i,SV81: $i] :
      ( ( ( ~ ( perp @ SV81 @ SV175 @ SV81 @ SV269 )
          | ~ ( perp @ SV269 @ SV81 @ SV269 @ SV352 ) )
        = $true )
      | ( ( ! [SY1622: $i] :
              ~ ( midp @ SY1622 @ SV175 @ SV352 ) )
        = $true )
      | ( ( midp @ ( sK11_P @ SV352 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[871]) ).

thf(960,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
        | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
        | ( coll @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[872]) ).

thf(961,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
        | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
        | ( cong @ SV270 @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[873]) ).

thf(962,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ~ ( ~ ( ~ ( coll @ SV408 @ SV83 @ SV271 )
                | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
                | ~ ( coll @ SV408 @ SV177 @ SV353 )
                | ~ ( coll @ SV450 @ SV83 @ SV177 )
                | ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) ) )
            | ~ ( ~ ( coll @ SV408 @ SV83 @ SV271 )
                | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
                | ~ ( coll @ SV408 @ SV177 @ SV353 )
                | ~ ( coll @ SV450 @ SV83 @ SV177 )
                | ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[874]) ).

thf(963,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ~ ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
            | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
            | ( coll @ SV178 @ SV84 @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[875]) ).

thf(964,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ~ ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
            | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
            | ( coll @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SV354 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[875]) ).

thf(965,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                      | ~ ( midp @ SV451 @ SV273 @ SV355 )
                      | ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) )
                  | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                      | ~ ( midp @ SV451 @ SV273 @ SV355 )
                      | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 ) ) )
            | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                | ~ ( midp @ SV451 @ SV273 @ SV355 )
                | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV451 @ SV85 @ SV273 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[876]) ).

thf(966,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ~ ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
            | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
            | ( coll @ SV180 @ SV86 @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[877]) ).

thf(967,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ~ ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
            | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
            | ( coll @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SV356 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[877]) ).

thf(968,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ~ ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
            | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
            | ( coll @ SV181 @ SV87 @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[878]) ).

thf(969,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ~ ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
            | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
            | ( coll @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SV357 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[878]) ).

thf(970,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ~ ( ~ ( ~ ( midp @ SV452 @ SV88 @ SV182 )
                | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
                | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
                | ~ ( coll @ SV276 @ SV358 @ SV410 )
                | ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 ) )
            | ~ ( ~ ( midp @ SV452 @ SV88 @ SV182 )
                | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
                | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
                | ~ ( coll @ SV276 @ SV358 @ SV410 )
                | ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[879]) ).

thf(971,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV411 = SV453 )
                            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                            | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
                        | ~ ( ( SV411 = SV453 )
                            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                            | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
                  | ~ ( ( SV411 = SV453 )
                      | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                      | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                      | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                      | ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) ) )
            | ~ ( ( SV411 = SV453 )
                | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                | ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[880]) ).

thf(972,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
            | ( coll @ SV90 @ SV184 @ SV278 )
            | ( cyclic @ SV360 @ SV184 @ SV278 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) ) )
        | ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
            | ( coll @ SV90 @ SV184 @ SV278 )
            | ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[881]) ).

thf(973,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ~ ( ~ ( coll @ SV185 @ SV361 @ SV413 )
            | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
            | ( coll @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SV413 ) )
        | ~ ( ~ ( coll @ SV185 @ SV361 @ SV413 )
            | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
            | ( perp @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SV413 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[882]) ).

thf(974,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ~ ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
            | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
            | ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[883]) ).

thf(975,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ~ ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
            | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
            | ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SV362 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[883]) ).

thf(976,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ~ ( ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                  | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                  | ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) )
              | ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                  | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                  | ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) ) )
        | ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
            | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
            | ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[884]) ).

thf(977,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                        | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                        | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
                    | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                        | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                        | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
              | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                  | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                  | ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[885]) ).

thf(978,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
            | ( perp @ SV188 @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[885]) ).

thf(979,plain,
    ! [SV283: $i,SV191: $i,SV97: $i,SV3: $i] :
      ( ( ( coll @ SV3 @ SV97 @ SV191 )
        = $false )
      | ( ( ~ ( coll @ SV3 @ SV97 @ SV283 ) )
        = $true )
      | ( ( coll @ SV191 @ SV283 @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(980,plain,
    ! [SV415: $i,SV365: $i,SV286: $i,SV194: $i,SV100: $i,SV6: $i] :
      ( ( ( ~ ( para @ SV6 @ SV100 @ SV194 @ SV286 )
          | ~ ( para @ SV194 @ SV286 @ SV365 @ SV415 ) )
        = $true )
      | ( ( para @ SV6 @ SV100 @ SV365 @ SV415 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[889]) ).

thf(981,plain,
    ! [SV416: $i,SV366: $i,SV289: $i,SV197: $i,SV103: $i,SV9: $i] :
      ( ( ( ~ ( perp @ SV9 @ SV103 @ SV197 @ SV289 )
          | ~ ( perp @ SV197 @ SV289 @ SV366 @ SV416 ) )
        = $true )
      | ( ( para @ SV9 @ SV103 @ SV366 @ SV416 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[892]) ).

thf(982,plain,
    ! [SV417: $i,SV367: $i,SV290: $i,SV198: $i,SV104: $i,SV10: $i] :
      ( ( ( ~ ( para @ SV10 @ SV104 @ SV198 @ SV290 )
          | ~ ( perp @ SV198 @ SV290 @ SV367 @ SV417 ) )
        = $true )
      | ( ( perp @ SV10 @ SV104 @ SV367 @ SV417 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[893]) ).

thf(983,plain,
    ! [SV200: $i,SV106: $i,SV12: $i,SV291: $i] :
      ( ( ( cong @ SV291 @ SV12 @ SV291 @ SV106 )
        = $false )
      | ( ( ~ ( cong @ SV291 @ SV12 @ SV291 @ SV200 ) )
        = $true )
      | ( ( circle @ SV291 @ SV12 @ SV106 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[894]) ).

thf(984,plain,
    ! [SV292: $i,SV201: $i,SV107: $i,SV13: $i,SV418: $i] :
      ( ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV107 )
          | ~ ( cong @ SV418 @ SV13 @ SV418 @ SV201 ) )
        = $true )
      | ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV292 ) )
        = $true )
      | ( ( cyclic @ SV13 @ SV107 @ SV201 @ SV292 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[895]) ).

thf(985,plain,
    ! [SV368: $i,SV296: $i,SV205: $i,SV111: $i,SV17: $i] :
      ( ( ( ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SV296 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SV368 ) )
        = $true )
      | ( ( cyclic @ SV111 @ SV205 @ SV296 @ SV368 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[899]) ).

thf(986,plain,
    ! [SV454: $i,SV419: $i,SV369: $i,SV297: $i,SV206: $i,SV112: $i,SV18: $i] :
      ( ( ! [SY1754: $i] :
            ( ~ ( eqangle @ SV18 @ SV112 @ SV206 @ SV297 @ SV369 @ SV419 @ SV454 @ SY1754 )
            | ( eqangle @ SV112 @ SV18 @ SV206 @ SV297 @ SV369 @ SV419 @ SV454 @ SY1754 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[900]) ).

thf(987,plain,
    ! [SV455: $i,SV420: $i,SV370: $i,SV298: $i,SV207: $i,SV113: $i,SV19: $i] :
      ( ( ! [SY1755: $i] :
            ( ~ ( eqangle @ SV19 @ SV113 @ SV207 @ SV298 @ SV370 @ SV420 @ SV455 @ SY1755 )
            | ( eqangle @ SV207 @ SV298 @ SV19 @ SV113 @ SV455 @ SY1755 @ SV370 @ SV420 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[901]) ).

thf(988,plain,
    ! [SV456: $i,SV421: $i,SV371: $i,SV299: $i,SV208: $i,SV114: $i,SV20: $i] :
      ( ( ! [SY1756: $i] :
            ( ~ ( eqangle @ SV20 @ SV114 @ SV208 @ SV299 @ SV371 @ SV421 @ SV456 @ SY1756 )
            | ( eqangle @ SV371 @ SV421 @ SV456 @ SY1756 @ SV20 @ SV114 @ SV208 @ SV299 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[902]) ).

thf(989,plain,
    ! [SV457: $i,SV422: $i,SV372: $i,SV300: $i,SV209: $i,SV115: $i,SV21: $i] :
      ( ( ! [SY1757: $i] :
            ( ~ ( eqangle @ SV21 @ SV115 @ SV209 @ SV300 @ SV372 @ SV422 @ SV457 @ SY1757 )
            | ( eqangle @ SV21 @ SV115 @ SV372 @ SV422 @ SV209 @ SV300 @ SV457 @ SY1757 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[903]) ).

thf(990,plain,
    ! [SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1758: $i,SY1759: $i,SY1760: $i,SY1761: $i,SY1762: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SY1758 )
            | ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SY1758 @ SY1759 @ SY1760 @ SY1761 @ SY1762 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SY1759 @ SY1760 @ SY1761 @ SY1762 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[904]) ).

thf(991,plain,
    ! [SV424: $i,SV374: $i,SV304: $i,SV213: $i,SV119: $i,SV25: $i] :
      ( ( ( ~ ( cong @ SV25 @ SV119 @ SV213 @ SV304 )
          | ~ ( cong @ SV213 @ SV304 @ SV374 @ SV424 ) )
        = $true )
      | ( ( cong @ SV25 @ SV119 @ SV374 @ SV424 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[907]) ).

thf(992,plain,
    ! [SV459: $i,SV425: $i,SV375: $i,SV305: $i,SV214: $i,SV120: $i,SV26: $i] :
      ( ( ! [SY1763: $i] :
            ( ~ ( eqratio @ SV26 @ SV120 @ SV214 @ SV305 @ SV375 @ SV425 @ SV459 @ SY1763 )
            | ( eqratio @ SV120 @ SV26 @ SV214 @ SV305 @ SV375 @ SV425 @ SV459 @ SY1763 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[908]) ).

thf(993,plain,
    ! [SV460: $i,SV426: $i,SV376: $i,SV306: $i,SV215: $i,SV121: $i,SV27: $i] :
      ( ( ! [SY1764: $i] :
            ( ~ ( eqratio @ SV27 @ SV121 @ SV215 @ SV306 @ SV376 @ SV426 @ SV460 @ SY1764 )
            | ( eqratio @ SV215 @ SV306 @ SV27 @ SV121 @ SV460 @ SY1764 @ SV376 @ SV426 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[909]) ).

thf(994,plain,
    ! [SV461: $i,SV427: $i,SV377: $i,SV307: $i,SV216: $i,SV122: $i,SV28: $i] :
      ( ( ! [SY1765: $i] :
            ( ~ ( eqratio @ SV28 @ SV122 @ SV216 @ SV307 @ SV377 @ SV427 @ SV461 @ SY1765 )
            | ( eqratio @ SV377 @ SV427 @ SV461 @ SY1765 @ SV28 @ SV122 @ SV216 @ SV307 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[910]) ).

thf(995,plain,
    ! [SV462: $i,SV428: $i,SV378: $i,SV308: $i,SV217: $i,SV123: $i,SV29: $i] :
      ( ( ! [SY1766: $i] :
            ( ~ ( eqratio @ SV29 @ SV123 @ SV217 @ SV308 @ SV378 @ SV428 @ SV462 @ SY1766 )
            | ( eqratio @ SV29 @ SV123 @ SV378 @ SV428 @ SV217 @ SV308 @ SV462 @ SY1766 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[911]) ).

thf(996,plain,
    ! [SV463: $i,SV429: $i,SV379: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ! [SY1767: $i,SY1768: $i,SY1769: $i] :
            ( ! [SY1770: $i,SY1771: $i] :
                ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SY1768 @ SY1769 @ SY1770 @ SY1771 )
                | ~ ( eqratio @ SY1768 @ SY1769 @ SY1770 @ SY1771 @ SV379 @ SV429 @ SV463 @ SY1767 ) )
            | ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SY1767 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[912]) ).

thf(997,plain,
    ! [SV380: $i,SV430: $i,SV310: $i,SV125: $i,SV219: $i,SV31: $i] :
      ( ( ( ~ ( simtri @ SV31 @ SV219 @ SV125 @ SV310 @ SV430 @ SV380 ) )
        = $true )
      | ( ( simtri @ SV31 @ SV125 @ SV219 @ SV310 @ SV380 @ SV430 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[913]) ).

thf(998,plain,
    ! [SV431: $i,SV311: $i,SV381: $i,SV220: $i,SV32: $i,SV126: $i] :
      ( ( ( ~ ( simtri @ SV126 @ SV32 @ SV220 @ SV381 @ SV311 @ SV431 ) )
        = $true )
      | ( ( simtri @ SV32 @ SV126 @ SV220 @ SV311 @ SV381 @ SV431 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[914]) ).

thf(999,plain,
    ! [SV221: $i,SV127: $i,SV33: $i,SV432: $i,SV382: $i,SV312: $i] :
      ( ( ( ~ ( simtri @ SV312 @ SV382 @ SV432 @ SV33 @ SV127 @ SV221 ) )
        = $true )
      | ( ( simtri @ SV33 @ SV127 @ SV221 @ SV312 @ SV382 @ SV432 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[915]) ).

thf(1000,plain,
    ! [SV464: $i,SV433: $i,SV383: $i,SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ! [SY1772: $i,SY1773: $i] :
            ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SV433 )
            | ~ ( simtri @ SV313 @ SV383 @ SV433 @ SV464 @ SY1772 @ SY1773 )
            | ( simtri @ SV34 @ SV128 @ SV222 @ SV464 @ SY1772 @ SY1773 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[916]) ).

thf(1001,plain,
    ! [SV384: $i,SV434: $i,SV314: $i,SV129: $i,SV223: $i,SV35: $i] :
      ( ( ( ~ ( contri @ SV35 @ SV223 @ SV129 @ SV314 @ SV434 @ SV384 ) )
        = $true )
      | ( ( contri @ SV35 @ SV129 @ SV223 @ SV314 @ SV384 @ SV434 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[917]) ).

thf(1002,plain,
    ! [SV435: $i,SV315: $i,SV385: $i,SV224: $i,SV36: $i,SV130: $i] :
      ( ( ( ~ ( contri @ SV130 @ SV36 @ SV224 @ SV385 @ SV315 @ SV435 ) )
        = $true )
      | ( ( contri @ SV36 @ SV130 @ SV224 @ SV315 @ SV385 @ SV435 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[918]) ).

thf(1003,plain,
    ! [SV225: $i,SV131: $i,SV37: $i,SV436: $i,SV386: $i,SV316: $i] :
      ( ( ( ~ ( contri @ SV316 @ SV386 @ SV436 @ SV37 @ SV131 @ SV225 ) )
        = $true )
      | ( ( contri @ SV37 @ SV131 @ SV225 @ SV316 @ SV386 @ SV436 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[919]) ).

thf(1004,plain,
    ! [SV465: $i,SV437: $i,SV387: $i,SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ! [SY1774: $i,SY1775: $i] :
            ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SV437 )
            | ~ ( contri @ SV317 @ SV387 @ SV437 @ SV465 @ SY1774 @ SY1775 )
            | ( contri @ SV38 @ SV132 @ SV226 @ SV465 @ SY1774 @ SY1775 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[920]) ).

thf(1005,plain,
    ! [SV318: $i,SV227: $i,SV466: $i,SV438: $i,SV133: $i,SV39: $i] :
      ( ( ( ~ ( eqangle @ SV39 @ SV133 @ SV438 @ SV466 @ SV227 @ SV318 @ SV438 @ SV466 ) )
        = $true )
      | ( ( para @ SV39 @ SV133 @ SV227 @ SV318 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[921]) ).

thf(1006,plain,
    ! [SV319: $i,SV228: $i,SV467: $i,SV134: $i,SV40: $i] :
      ( ( ( ! [SY1776: $i] : ( eqangle @ SV40 @ SV134 @ SV467 @ SY1776 @ SV228 @ SV319 @ SV467 @ SY1776 ) )
        = $true )
      | ( ( para @ SV40 @ SV134 @ SV228 @ SV319 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[922]) ).

thf(1007,plain,
    ! [SV321: $i,SV136: $i,SV42: $i,SV230: $i] :
      ( ( ( eqangle @ SV230 @ SV42 @ SV230 @ SV136 @ SV321 @ SV42 @ SV321 @ SV136 )
        = $false )
      | ( ( coll @ SV230 @ SV321 @ SV42 )
        = $true )
      | ( ( cyclic @ SV42 @ SV136 @ SV230 @ SV321 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(1008,plain,
    ! [SV43: $i,SV137: $i,SV322: $i,SV231: $i] :
      ( ( ( coll @ SV231 @ SV322 @ SV137 )
        = $false )
      | ( ( ~ ( eqangle @ SV231 @ SV43 @ SV231 @ SV137 @ SV322 @ SV43 @ SV322 @ SV137 ) )
        = $true )
      | ( ( cyclic @ SV43 @ SV137 @ SV231 @ SV322 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(1009,plain,
    ! [SV468: $i,SV388: $i,SV323: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
          | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 )
          | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV468 )
          | ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SV468 @ SV323 @ SV468 @ SV388 ) )
        = $true )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[926]) ).

thf(1010,plain,
    ! [SV233: $i,SV389: $i,SV139: $i,SV45: $i,SV324: $i] :
      ( ( ( ~ ( midp @ SV324 @ SV45 @ SV139 ) )
        = $true )
      | ( ( ~ ( midp @ SV389 @ SV45 @ SV233 ) )
        = $true )
      | ( ( para @ SV324 @ SV389 @ SV139 @ SV233 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[927]) ).

thf(1011,plain,
    ! [SV234: $i,SV390: $i,SV140: $i,SV46: $i,SV325: $i] :
      ( ( ( ~ ( midp @ SV325 @ SV46 @ SV140 )
          | ~ ( para @ SV325 @ SV390 @ SV140 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV390 @ SV46 @ SV234 ) )
        = $true )
      | ( ( midp @ SV390 @ SV46 @ SV234 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[928]) ).

thf(1012,plain,
    ! [SV391: $i,SV237: $i,SV143: $i,SV49: $i,SV326: $i] :
      ( ( ( ~ ( circle @ SV326 @ SV49 @ SV143 @ SV237 ) )
        = $true )
      | ( ( ~ ( perp @ SV326 @ SV49 @ SV49 @ SV391 ) )
        = $true )
      | ( ( eqangle @ SV49 @ SV391 @ SV49 @ SV143 @ SV237 @ SV49 @ SV237 @ SV143 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[930]) ).

thf(1013,plain,
    ! [SV392: $i,SV238: $i,SV144: $i,SV50: $i,SV327: $i] :
      ( ( ( ~ ( circle @ SV327 @ SV50 @ SV144 @ SV238 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV50 @ SV392 @ SV50 @ SV144 @ SV238 @ SV50 @ SV238 @ SV144 ) )
        = $true )
      | ( ( perp @ SV327 @ SV50 @ SV50 @ SV392 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[931]) ).

thf(1014,plain,
    ! [SV393: $i,SV239: $i,SV145: $i,SV51: $i,SV328: $i] :
      ( ( ( ~ ( circle @ SV328 @ SV51 @ SV145 @ SV239 ) )
        = $true )
      | ( ( ~ ( midp @ SV393 @ SV145 @ SV239 ) )
        = $true )
      | ( ( eqangle @ SV51 @ SV145 @ SV51 @ SV239 @ SV328 @ SV145 @ SV328 @ SV393 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[932]) ).

thf(1015,plain,
    ! [SV394: $i,SV240: $i,SV146: $i,SV52: $i,SV329: $i] :
      ( ( ( ~ ( circle @ SV329 @ SV52 @ SV146 @ SV240 )
          | ~ ( coll @ SV394 @ SV146 @ SV240 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SV329 @ SV146 @ SV329 @ SV394 ) )
        = $true )
      | ( ( midp @ SV394 @ SV146 @ SV240 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[933]) ).

thf(1016,plain,
    ! [SV147: $i,SV241: $i,SV53: $i,SV330: $i] :
      ( ( ( midp @ SV330 @ SV53 @ SV241 )
        = $false )
      | ( ( ~ ( perp @ SV53 @ SV147 @ SV147 @ SV241 ) )
        = $true )
      | ( ( cong @ SV53 @ SV330 @ SV147 @ SV330 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[934]) ).

thf(1017,plain,
    ! [SV242: $i,SV148: $i,SV54: $i,SV395: $i] :
      ( ( ( circle @ SV395 @ SV54 @ SV148 @ SV242 )
        = $false )
      | ( ( ~ ( coll @ SV395 @ SV54 @ SV242 ) )
        = $true )
      | ( ( perp @ SV54 @ SV148 @ SV148 @ SV242 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[935]) ).

thf(1018,plain,
    ! [SV331: $i,SV243: $i,SV149: $i,SV55: $i] :
      ( ( ( cyclic @ SV55 @ SV149 @ SV243 @ SV331 )
        = $false )
      | ( ( ~ ( para @ SV55 @ SV149 @ SV243 @ SV331 ) )
        = $true )
      | ( ( eqangle @ SV55 @ SV331 @ SV243 @ SV331 @ SV243 @ SV331 @ SV243 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(1019,plain,
    ! [SV332: $i,SV150: $i,SV56: $i,SV244: $i] :
      ( ( ( midp @ SV244 @ SV56 @ SV150 )
        = $false )
      | ( ( ~ ( perp @ SV332 @ SV244 @ SV56 @ SV150 ) )
        = $true )
      | ( ( cong @ SV332 @ SV56 @ SV332 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(1020,plain,
    ! [SV333: $i,SV151: $i,SV245: $i,SV57: $i] :
      ( ( ( cong @ SV57 @ SV245 @ SV151 @ SV245 )
        = $false )
      | ( ( ~ ( cong @ SV57 @ SV333 @ SV151 @ SV333 ) )
        = $true )
      | ( ( perp @ SV57 @ SV151 @ SV245 @ SV333 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[938]) ).

thf(1021,plain,
    ! [SV334: $i,SV152: $i,SV246: $i,SV58: $i] :
      ( ( ( ~ ( cong @ SV58 @ SV246 @ SV152 @ SV246 ) )
        = $true )
      | ( ( ~ ( cong @ SV58 @ SV334 @ SV152 @ SV334 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV58 @ SV152 @ SV246 @ SV334 ) )
        = $true )
      | ( ( perp @ SV246 @ SV58 @ SV58 @ SV334 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[939]) ).

thf(1022,plain,
    ! [SV439: $i,SV396: $i,SV335: $i,SV247: $i,SV153: $i,SV59: $i] :
      ( ( ( ~ ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SV335 @ SV396 @ SV396 @ SV439 )
          | ~ ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SV335 @ SV439 @ SV396 @ SV439 )
          | ( coll @ SV59 @ SV153 @ SV247 ) )
        = $true )
      | ( ( simtri @ SV59 @ SV153 @ SV247 @ SV335 @ SV396 @ SV439 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[940]) ).

thf(1023,plain,
    ! [SV440: $i,SV397: $i,SV336: $i,SV248: $i,SV154: $i,SV60: $i] :
      ( ( ( ~ ( simtri @ SV60 @ SV154 @ SV248 @ SV336 @ SV397 @ SV440 ) )
        = $true )
      | ( ( eqratio @ SV60 @ SV154 @ SV60 @ SV248 @ SV336 @ SV397 @ SV336 @ SV440 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[941]) ).

thf(1024,plain,
    ! [SV441: $i,SV398: $i,SV337: $i,SV249: $i,SV155: $i,SV61: $i] :
      ( ( ( ~ ( simtri @ SV61 @ SV155 @ SV249 @ SV337 @ SV398 @ SV441 ) )
        = $true )
      | ( ( eqangle @ SV61 @ SV155 @ SV155 @ SV249 @ SV337 @ SV398 @ SV398 @ SV441 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[942]) ).

thf(1025,plain,
    ! [SV442: $i,SV250: $i,SV399: $i,SV338: $i,SV156: $i,SV62: $i] :
      ( ( ( ~ ( cong @ SV62 @ SV156 @ SV338 @ SV399 )
          | ~ ( simtri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 ) )
        = $true )
      | ( ( contri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[943]) ).

thf(1026,plain,
    ! [SV469: $i,SV400: $i,SV339: $i,SV251: $i,SV157: $i,SV63: $i] :
      ( ( ( ~ ( contri @ SV63 @ SV157 @ SV251 @ SV339 @ SV400 @ SV469 ) )
        = $true )
      | ( ( cong @ SV63 @ SV157 @ SV339 @ SV400 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[944]) ).

thf(1027,plain,
    ! [SV340: $i,SV252: $i,SV158: $i,SV64: $i,SV443: $i] :
      ( ( ( ~ ( midp @ SV443 @ SV64 @ SV158 ) )
        = $true )
      | ( ( ~ ( midp @ SV443 @ SV252 @ SV340 ) )
        = $true )
      | ( ( para @ SV64 @ SV252 @ SV158 @ SV340 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[945]) ).

thf(1028,plain,
    ! [SV341: $i,SV253: $i,SV159: $i,SV65: $i,SV401: $i] :
      ( ( ( ~ ( midp @ SV401 @ SV65 @ SV159 )
          | ~ ( para @ SV65 @ SV253 @ SV159 @ SV341 ) )
        = $true )
      | ( ( ~ ( para @ SV65 @ SV341 @ SV159 @ SV253 ) )
        = $true )
      | ( ( midp @ SV401 @ SV253 @ SV341 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[946]) ).

thf(1029,plain,
    ! [SV342: $i,SV160: $i,SV254: $i,SV66: $i,SV402: $i] :
      ( ( ( ~ ( coll @ SV402 @ SV66 @ SV254 )
          | ~ ( para @ SV66 @ SV160 @ SV254 @ SV342 ) )
        = $true )
      | ( ( ~ ( coll @ SV402 @ SV160 @ SV342 ) )
        = $true )
      | ( ( eqratio @ SV402 @ SV66 @ SV66 @ SV254 @ SV402 @ SV160 @ SV160 @ SV342 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[947]) ).

thf(1030,plain,
    ! [SV256: $i,SV162: $i,SV68: $i] :
      ( ( ( cong @ SV68 @ SV162 @ SV68 @ SV256 )
        = $false )
      | ( ( coll @ SV68 @ SV162 @ SV256 )
        = $false )
      | ( ( midp @ SV68 @ SV162 @ SV256 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[948]) ).

thf(1031,plain,
    ! [SV343: $i,SV259: $i,SV444: $i,SV165: $i,SV71: $i,SV403: $i] :
      ( ( ( ~ ( midp @ SV403 @ SV71 @ SV165 )
          | ~ ( midp @ SV444 @ SV259 @ SV343 ) )
        = $true )
      | ( ( eqratio @ SV403 @ SV71 @ SV71 @ SV165 @ SV444 @ SV259 @ SV259 @ SV343 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[949]) ).

thf(1032,plain,
    ! [SV344: $i,SV260: $i,SV166: $i,SV72: $i] :
      ( ( ( eqangle @ SV72 @ SV166 @ SV260 @ SV344 @ SV260 @ SV344 @ SV72 @ SV166 )
        = $false )
      | ( ( para @ SV72 @ SV166 @ SV260 @ SV344 )
        = $true )
      | ( ( perp @ SV72 @ SV166 @ SV260 @ SV344 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[950]) ).

thf(1033,plain,
    ! [SV345: $i,SV261: $i,SV167: $i,SV73: $i] :
      ( ( ( eqangle @ SV73 @ SV167 @ SV261 @ SV345 @ SV261 @ SV345 @ SV73 @ SV167 )
        = $false )
      | ( ( perp @ SV73 @ SV167 @ SV261 @ SV345 )
        = $true )
      | ( ( para @ SV73 @ SV167 @ SV261 @ SV345 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[951]) ).

thf(1034,plain,
    ! [SV445: $i,SV404: $i,SV346: $i,SV262: $i,SV168: $i,SV74: $i] :
      ( ( ( ! [SY1747: $i,SY1748: $i] :
              ( ~ ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SV404 @ SV445 @ SY1747 @ SY1748 )
              | ~ ( para @ SV404 @ SV445 @ SY1747 @ SY1748 ) ) )
        = $true )
      | ( ( para @ SV74 @ SV168 @ SV262 @ SV346 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[952]) ).

thf(1035,plain,
    ! [SV446: $i,SV405: $i,SV347: $i,SV263: $i,SV169: $i,SV75: $i] :
      ( ( ( ! [SY1749: $i,SY1750: $i] :
              ( ~ ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SV405 @ SV446 @ SY1749 @ SY1750 )
              | ~ ( perp @ SV405 @ SV446 @ SY1749 @ SY1750 ) ) )
        = $true )
      | ( ( perp @ SV75 @ SV169 @ SV263 @ SV347 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[953]) ).

thf(1036,plain,
    ! [SV348: $i,SV264: $i,SV170: $i,SV76: $i,SV447: $i,SV406: $i] :
      ( ( ( ! [SY1751: $i,SY1752: $i] :
              ( ~ ( cong @ SV406 @ SV447 @ SY1751 @ SY1752 )
              | ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SV406 @ SV447 @ SY1751 @ SY1752 ) ) )
        = $true )
      | ( ( cong @ SV76 @ SV170 @ SV264 @ SV348 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[954]) ).

thf(1037,plain,
    ! [SV349: $i,SV265: $i,SV448: $i,SV171: $i,SV77: $i,SV407: $i] :
      ( ( ( ~ ( midp @ SV407 @ SV77 @ SV171 )
          | ~ ( midp @ SV448 @ SV265 @ SV349 )
          | ~ ( coll @ SV265 @ SV77 @ SV171 )
          | ~ ( coll @ SV349 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[955]) ).

thf(1038,plain,
    ! [SV351: $i,SV267: $i,SV173: $i,SV79: $i] :
      ( ( ( ~ ( cyclic @ SV79 @ SV173 @ SV267 @ SV351 ) )
        = $true )
      | ( ( ~ ( para @ SV79 @ SV173 @ SV267 @ SV351 ) )
        = $true )
      | ( ( ! [SY1238: $i] :
              ~ ( midp @ SY1238 @ SV79 @ SV173 ) )
        = $true )
      | ( ( circle @ ( sK14_O @ SV351 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[957]) ).

thf(1039,plain,
    ! [SV449: $i,SV268: $i,SV174: $i,SV80: $i] :
      ( ( ( cyclic @ SV80 @ SV174 @ SV268 @ SV449 )
        = $false )
      | ( ( ~ ( perp @ SV80 @ SV268 @ SV268 @ SV174 ) )
        = $true )
      | ( ( circle @ ( sK13_O @ SV268 @ SV174 @ SV80 ) @ SV80 @ SV174 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[958]) ).

thf(1040,plain,
    ! [SV352: $i,SV269: $i,SV175: $i,SV81: $i] :
      ( ( ( ~ ( perp @ SV81 @ SV175 @ SV81 @ SV269 ) )
        = $true )
      | ( ( ~ ( perp @ SV269 @ SV81 @ SV269 @ SV352 ) )
        = $true )
      | ( ( ! [SY1622: $i] :
              ~ ( midp @ SY1622 @ SV175 @ SV352 ) )
        = $true )
      | ( ( midp @ ( sK11_P @ SV352 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[959]) ).

thf(1041,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
          | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 ) )
        = $true )
      | ( ( coll @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[960]) ).

thf(1042,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
          | ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 ) )
        = $true )
      | ( ( cong @ SV270 @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[961]) ).

thf(1043,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ~ ( ~ ( coll @ SV408 @ SV83 @ SV271 )
            | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
            | ~ ( coll @ SV408 @ SV177 @ SV353 )
            | ~ ( coll @ SV450 @ SV83 @ SV177 )
            | ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) ) )
        | ~ ( ~ ( coll @ SV408 @ SV83 @ SV271 )
            | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
            | ~ ( coll @ SV408 @ SV177 @ SV353 )
            | ~ ( coll @ SV450 @ SV83 @ SV177 )
            | ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[962]) ).

thf(1044,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
        | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
        | ( coll @ SV178 @ SV84 @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[963]) ).

thf(1045,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
        | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
        | ( coll @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SV354 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[964]) ).

thf(1046,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ~ ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                  | ~ ( midp @ SV451 @ SV273 @ SV355 )
                  | ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) )
              | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                  | ~ ( midp @ SV451 @ SV273 @ SV355 )
                  | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 ) ) )
        | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
            | ~ ( midp @ SV451 @ SV273 @ SV355 )
            | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV451 @ SV85 @ SV273 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[965]) ).

thf(1047,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
        | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
        | ( coll @ SV180 @ SV86 @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[966]) ).

thf(1048,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
        | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
        | ( coll @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SV356 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[967]) ).

thf(1049,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
        | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
        | ( coll @ SV181 @ SV87 @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[968]) ).

thf(1050,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
        | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
        | ( coll @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SV357 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[969]) ).

thf(1051,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ~ ( ~ ( midp @ SV452 @ SV88 @ SV182 )
            | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
            | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
            | ~ ( coll @ SV276 @ SV358 @ SV410 )
            | ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 ) )
        | ~ ( ~ ( midp @ SV452 @ SV88 @ SV182 )
            | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
            | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
            | ~ ( coll @ SV276 @ SV358 @ SV410 )
            | ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[970]) ).

thf(1052,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( ( SV411 = SV453 )
                        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                        | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                        | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
                    | ~ ( ( SV411 = SV453 )
                        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                        | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                        | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
              | ~ ( ( SV411 = SV453 )
                  | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                  | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                  | ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) ) )
        | ~ ( ( SV411 = SV453 )
            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
            | ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[971]) ).

thf(1053,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
            | ( coll @ SV90 @ SV184 @ SV278 )
            | ( cyclic @ SV360 @ SV184 @ SV278 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[972]) ).

thf(1054,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ~ ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
            | ( coll @ SV90 @ SV184 @ SV278 )
            | ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[972]) ).

thf(1055,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ~ ( ~ ( coll @ SV185 @ SV361 @ SV413 )
            | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
            | ( coll @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SV413 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[973]) ).

thf(1056,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ~ ( ~ ( coll @ SV185 @ SV361 @ SV413 )
            | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
            | ( perp @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SV413 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[973]) ).

thf(1057,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
        | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
        | ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[974]) ).

thf(1058,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
        | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
        | ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SV362 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[975]) ).

thf(1059,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ~ ( ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                  | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                  | ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) )
              | ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                  | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                  | ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[976]) ).

thf(1060,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
            | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
            | ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[976]) ).

thf(1061,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                      | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                      | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
                  | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                      | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                      | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
            | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                | ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[977]) ).

thf(1062,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
        | ( perp @ SV188 @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[978]) ).

thf(1063,plain,
    ! [SV191: $i,SV283: $i,SV97: $i,SV3: $i] :
      ( ( ( coll @ SV3 @ SV97 @ SV283 )
        = $false )
      | ( ( coll @ SV3 @ SV97 @ SV191 )
        = $false )
      | ( ( coll @ SV191 @ SV283 @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[979]) ).

thf(1064,plain,
    ! [SV415: $i,SV365: $i,SV286: $i,SV194: $i,SV100: $i,SV6: $i] :
      ( ( ( ~ ( para @ SV6 @ SV100 @ SV194 @ SV286 ) )
        = $true )
      | ( ( ~ ( para @ SV194 @ SV286 @ SV365 @ SV415 ) )
        = $true )
      | ( ( para @ SV6 @ SV100 @ SV365 @ SV415 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[980]) ).

thf(1065,plain,
    ! [SV416: $i,SV366: $i,SV289: $i,SV197: $i,SV103: $i,SV9: $i] :
      ( ( ( ~ ( perp @ SV9 @ SV103 @ SV197 @ SV289 ) )
        = $true )
      | ( ( ~ ( perp @ SV197 @ SV289 @ SV366 @ SV416 ) )
        = $true )
      | ( ( para @ SV9 @ SV103 @ SV366 @ SV416 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[981]) ).

thf(1066,plain,
    ! [SV417: $i,SV367: $i,SV290: $i,SV198: $i,SV104: $i,SV10: $i] :
      ( ( ( ~ ( para @ SV10 @ SV104 @ SV198 @ SV290 ) )
        = $true )
      | ( ( ~ ( perp @ SV198 @ SV290 @ SV367 @ SV417 ) )
        = $true )
      | ( ( perp @ SV10 @ SV104 @ SV367 @ SV417 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[982]) ).

thf(1067,plain,
    ! [SV106: $i,SV200: $i,SV12: $i,SV291: $i] :
      ( ( ( cong @ SV291 @ SV12 @ SV291 @ SV200 )
        = $false )
      | ( ( cong @ SV291 @ SV12 @ SV291 @ SV106 )
        = $false )
      | ( ( circle @ SV291 @ SV12 @ SV106 @ SV200 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[983]) ).

thf(1068,plain,
    ! [SV292: $i,SV201: $i,SV107: $i,SV13: $i,SV418: $i] :
      ( ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV107 ) )
        = $true )
      | ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV201 ) )
        = $true )
      | ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV292 ) )
        = $true )
      | ( ( cyclic @ SV13 @ SV107 @ SV201 @ SV292 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[984]) ).

thf(1069,plain,
    ! [SV368: $i,SV296: $i,SV205: $i,SV111: $i,SV17: $i] :
      ( ( ( cyclic @ SV17 @ SV111 @ SV205 @ SV296 )
        = $false )
      | ( ( ~ ( cyclic @ SV17 @ SV111 @ SV205 @ SV368 ) )
        = $true )
      | ( ( cyclic @ SV111 @ SV205 @ SV296 @ SV368 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[985]) ).

thf(1070,plain,
    ! [SV470: $i,SV454: $i,SV419: $i,SV369: $i,SV297: $i,SV206: $i,SV112: $i,SV18: $i] :
      ( ( ~ ( eqangle @ SV18 @ SV112 @ SV206 @ SV297 @ SV369 @ SV419 @ SV454 @ SV470 )
        | ( eqangle @ SV112 @ SV18 @ SV206 @ SV297 @ SV369 @ SV419 @ SV454 @ SV470 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1071,plain,
    ! [SV471: $i,SV455: $i,SV420: $i,SV370: $i,SV298: $i,SV207: $i,SV113: $i,SV19: $i] :
      ( ( ~ ( eqangle @ SV19 @ SV113 @ SV207 @ SV298 @ SV370 @ SV420 @ SV455 @ SV471 )
        | ( eqangle @ SV207 @ SV298 @ SV19 @ SV113 @ SV455 @ SV471 @ SV370 @ SV420 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[987]) ).

thf(1072,plain,
    ! [SV472: $i,SV456: $i,SV421: $i,SV371: $i,SV299: $i,SV208: $i,SV114: $i,SV20: $i] :
      ( ( ~ ( eqangle @ SV20 @ SV114 @ SV208 @ SV299 @ SV371 @ SV421 @ SV456 @ SV472 )
        | ( eqangle @ SV371 @ SV421 @ SV456 @ SV472 @ SV20 @ SV114 @ SV208 @ SV299 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[988]) ).

thf(1073,plain,
    ! [SV473: $i,SV457: $i,SV422: $i,SV372: $i,SV300: $i,SV209: $i,SV115: $i,SV21: $i] :
      ( ( ~ ( eqangle @ SV21 @ SV115 @ SV209 @ SV300 @ SV372 @ SV422 @ SV457 @ SV473 )
        | ( eqangle @ SV21 @ SV115 @ SV372 @ SV422 @ SV209 @ SV300 @ SV457 @ SV473 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[989]) ).

thf(1074,plain,
    ! [SV474: $i,SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1777: $i,SY1778: $i,SY1779: $i,SY1780: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 )
            | ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SY1777 @ SY1778 @ SY1779 @ SY1780 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SY1777 @ SY1778 @ SY1779 @ SY1780 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[990]) ).

thf(1075,plain,
    ! [SV424: $i,SV374: $i,SV304: $i,SV213: $i,SV119: $i,SV25: $i] :
      ( ( ( ~ ( cong @ SV25 @ SV119 @ SV213 @ SV304 ) )
        = $true )
      | ( ( ~ ( cong @ SV213 @ SV304 @ SV374 @ SV424 ) )
        = $true )
      | ( ( cong @ SV25 @ SV119 @ SV374 @ SV424 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[991]) ).

thf(1076,plain,
    ! [SV475: $i,SV459: $i,SV425: $i,SV375: $i,SV305: $i,SV214: $i,SV120: $i,SV26: $i] :
      ( ( ~ ( eqratio @ SV26 @ SV120 @ SV214 @ SV305 @ SV375 @ SV425 @ SV459 @ SV475 )
        | ( eqratio @ SV120 @ SV26 @ SV214 @ SV305 @ SV375 @ SV425 @ SV459 @ SV475 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[992]) ).

thf(1077,plain,
    ! [SV476: $i,SV460: $i,SV426: $i,SV376: $i,SV306: $i,SV215: $i,SV121: $i,SV27: $i] :
      ( ( ~ ( eqratio @ SV27 @ SV121 @ SV215 @ SV306 @ SV376 @ SV426 @ SV460 @ SV476 )
        | ( eqratio @ SV215 @ SV306 @ SV27 @ SV121 @ SV460 @ SV476 @ SV376 @ SV426 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[993]) ).

thf(1078,plain,
    ! [SV477: $i,SV461: $i,SV427: $i,SV377: $i,SV307: $i,SV216: $i,SV122: $i,SV28: $i] :
      ( ( ~ ( eqratio @ SV28 @ SV122 @ SV216 @ SV307 @ SV377 @ SV427 @ SV461 @ SV477 )
        | ( eqratio @ SV377 @ SV427 @ SV461 @ SV477 @ SV28 @ SV122 @ SV216 @ SV307 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1079,plain,
    ! [SV478: $i,SV462: $i,SV428: $i,SV378: $i,SV308: $i,SV217: $i,SV123: $i,SV29: $i] :
      ( ( ~ ( eqratio @ SV29 @ SV123 @ SV217 @ SV308 @ SV378 @ SV428 @ SV462 @ SV478 )
        | ( eqratio @ SV29 @ SV123 @ SV378 @ SV428 @ SV217 @ SV308 @ SV462 @ SV478 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[995]) ).

thf(1080,plain,
    ! [SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ! [SY1781: $i,SY1782: $i] :
            ( ! [SY1783: $i,SY1784: $i] :
                ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SY1781 @ SY1782 @ SY1783 @ SY1784 )
                | ~ ( eqratio @ SY1781 @ SY1782 @ SY1783 @ SY1784 @ SV379 @ SV429 @ SV463 @ SV479 ) )
            | ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[996]) ).

thf(1081,plain,
    ! [SV380: $i,SV430: $i,SV310: $i,SV125: $i,SV219: $i,SV31: $i] :
      ( ( ( simtri @ SV31 @ SV219 @ SV125 @ SV310 @ SV430 @ SV380 )
        = $false )
      | ( ( simtri @ SV31 @ SV125 @ SV219 @ SV310 @ SV380 @ SV430 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[997]) ).

thf(1082,plain,
    ! [SV431: $i,SV311: $i,SV381: $i,SV220: $i,SV32: $i,SV126: $i] :
      ( ( ( simtri @ SV126 @ SV32 @ SV220 @ SV381 @ SV311 @ SV431 )
        = $false )
      | ( ( simtri @ SV32 @ SV126 @ SV220 @ SV311 @ SV381 @ SV431 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1083,plain,
    ! [SV221: $i,SV127: $i,SV33: $i,SV432: $i,SV382: $i,SV312: $i] :
      ( ( ( simtri @ SV312 @ SV382 @ SV432 @ SV33 @ SV127 @ SV221 )
        = $false )
      | ( ( simtri @ SV33 @ SV127 @ SV221 @ SV312 @ SV382 @ SV432 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[999]) ).

thf(1084,plain,
    ! [SV480: $i,SV464: $i,SV433: $i,SV383: $i,SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ! [SY1785: $i] :
            ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SV433 )
            | ~ ( simtri @ SV313 @ SV383 @ SV433 @ SV464 @ SV480 @ SY1785 )
            | ( simtri @ SV34 @ SV128 @ SV222 @ SV464 @ SV480 @ SY1785 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1000]) ).

thf(1085,plain,
    ! [SV384: $i,SV434: $i,SV314: $i,SV129: $i,SV223: $i,SV35: $i] :
      ( ( ( contri @ SV35 @ SV223 @ SV129 @ SV314 @ SV434 @ SV384 )
        = $false )
      | ( ( contri @ SV35 @ SV129 @ SV223 @ SV314 @ SV384 @ SV434 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1001]) ).

thf(1086,plain,
    ! [SV435: $i,SV315: $i,SV385: $i,SV224: $i,SV36: $i,SV130: $i] :
      ( ( ( contri @ SV130 @ SV36 @ SV224 @ SV385 @ SV315 @ SV435 )
        = $false )
      | ( ( contri @ SV36 @ SV130 @ SV224 @ SV315 @ SV385 @ SV435 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1087,plain,
    ! [SV225: $i,SV131: $i,SV37: $i,SV436: $i,SV386: $i,SV316: $i] :
      ( ( ( contri @ SV316 @ SV386 @ SV436 @ SV37 @ SV131 @ SV225 )
        = $false )
      | ( ( contri @ SV37 @ SV131 @ SV225 @ SV316 @ SV386 @ SV436 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1003]) ).

thf(1088,plain,
    ! [SV481: $i,SV465: $i,SV437: $i,SV387: $i,SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ! [SY1786: $i] :
            ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SV437 )
            | ~ ( contri @ SV317 @ SV387 @ SV437 @ SV465 @ SV481 @ SY1786 )
            | ( contri @ SV38 @ SV132 @ SV226 @ SV465 @ SV481 @ SY1786 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1089,plain,
    ! [SV318: $i,SV227: $i,SV466: $i,SV438: $i,SV133: $i,SV39: $i] :
      ( ( ( eqangle @ SV39 @ SV133 @ SV438 @ SV466 @ SV227 @ SV318 @ SV438 @ SV466 )
        = $false )
      | ( ( para @ SV39 @ SV133 @ SV227 @ SV318 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1005]) ).

thf(1090,plain,
    ! [SV319: $i,SV228: $i,SV482: $i,SV467: $i,SV134: $i,SV40: $i] :
      ( ( ( eqangle @ SV40 @ SV134 @ SV467 @ SV482 @ SV228 @ SV319 @ SV467 @ SV482 )
        = $true )
      | ( ( para @ SV40 @ SV134 @ SV228 @ SV319 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1006]) ).

thf(1091,plain,
    ! [SV322: $i,SV137: $i,SV43: $i,SV231: $i] :
      ( ( ( eqangle @ SV231 @ SV43 @ SV231 @ SV137 @ SV322 @ SV43 @ SV322 @ SV137 )
        = $false )
      | ( ( coll @ SV231 @ SV322 @ SV137 )
        = $false )
      | ( ( cyclic @ SV43 @ SV137 @ SV231 @ SV322 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1008]) ).

thf(1092,plain,
    ! [SV468: $i,SV388: $i,SV323: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
          | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 )
          | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV468 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SV468 @ SV323 @ SV468 @ SV388 ) )
        = $true )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1009]) ).

thf(1093,plain,
    ! [SV233: $i,SV389: $i,SV139: $i,SV45: $i,SV324: $i] :
      ( ( ( midp @ SV324 @ SV45 @ SV139 )
        = $false )
      | ( ( ~ ( midp @ SV389 @ SV45 @ SV233 ) )
        = $true )
      | ( ( para @ SV324 @ SV389 @ SV139 @ SV233 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1010]) ).

thf(1094,plain,
    ! [SV234: $i,SV390: $i,SV140: $i,SV46: $i,SV325: $i] :
      ( ( ( ~ ( midp @ SV325 @ SV46 @ SV140 ) )
        = $true )
      | ( ( ~ ( para @ SV325 @ SV390 @ SV140 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV390 @ SV46 @ SV234 ) )
        = $true )
      | ( ( midp @ SV390 @ SV46 @ SV234 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1011]) ).

thf(1095,plain,
    ! [SV391: $i,SV237: $i,SV143: $i,SV49: $i,SV326: $i] :
      ( ( ( circle @ SV326 @ SV49 @ SV143 @ SV237 )
        = $false )
      | ( ( ~ ( perp @ SV326 @ SV49 @ SV49 @ SV391 ) )
        = $true )
      | ( ( eqangle @ SV49 @ SV391 @ SV49 @ SV143 @ SV237 @ SV49 @ SV237 @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1012]) ).

thf(1096,plain,
    ! [SV392: $i,SV238: $i,SV144: $i,SV50: $i,SV327: $i] :
      ( ( ( circle @ SV327 @ SV50 @ SV144 @ SV238 )
        = $false )
      | ( ( ~ ( eqangle @ SV50 @ SV392 @ SV50 @ SV144 @ SV238 @ SV50 @ SV238 @ SV144 ) )
        = $true )
      | ( ( perp @ SV327 @ SV50 @ SV50 @ SV392 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1013]) ).

thf(1097,plain,
    ! [SV393: $i,SV239: $i,SV145: $i,SV51: $i,SV328: $i] :
      ( ( ( circle @ SV328 @ SV51 @ SV145 @ SV239 )
        = $false )
      | ( ( ~ ( midp @ SV393 @ SV145 @ SV239 ) )
        = $true )
      | ( ( eqangle @ SV51 @ SV145 @ SV51 @ SV239 @ SV328 @ SV145 @ SV328 @ SV393 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1014]) ).

thf(1098,plain,
    ! [SV394: $i,SV240: $i,SV146: $i,SV52: $i,SV329: $i] :
      ( ( ( ~ ( circle @ SV329 @ SV52 @ SV146 @ SV240 ) )
        = $true )
      | ( ( ~ ( coll @ SV394 @ SV146 @ SV240 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SV329 @ SV146 @ SV329 @ SV394 ) )
        = $true )
      | ( ( midp @ SV394 @ SV146 @ SV240 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1015]) ).

thf(1099,plain,
    ! [SV330: $i,SV241: $i,SV147: $i,SV53: $i] :
      ( ( ( perp @ SV53 @ SV147 @ SV147 @ SV241 )
        = $false )
      | ( ( midp @ SV330 @ SV53 @ SV241 )
        = $false )
      | ( ( cong @ SV53 @ SV330 @ SV147 @ SV330 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1016]) ).

thf(1100,plain,
    ! [SV148: $i,SV242: $i,SV54: $i,SV395: $i] :
      ( ( ( coll @ SV395 @ SV54 @ SV242 )
        = $false )
      | ( ( circle @ SV395 @ SV54 @ SV148 @ SV242 )
        = $false )
      | ( ( perp @ SV54 @ SV148 @ SV148 @ SV242 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1017]) ).

thf(1101,plain,
    ! [SV331: $i,SV243: $i,SV149: $i,SV55: $i] :
      ( ( ( para @ SV55 @ SV149 @ SV243 @ SV331 )
        = $false )
      | ( ( cyclic @ SV55 @ SV149 @ SV243 @ SV331 )
        = $false )
      | ( ( eqangle @ SV55 @ SV331 @ SV243 @ SV331 @ SV243 @ SV331 @ SV243 @ SV149 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1018]) ).

thf(1102,plain,
    ! [SV150: $i,SV56: $i,SV244: $i,SV332: $i] :
      ( ( ( perp @ SV332 @ SV244 @ SV56 @ SV150 )
        = $false )
      | ( ( midp @ SV244 @ SV56 @ SV150 )
        = $false )
      | ( ( cong @ SV332 @ SV56 @ SV332 @ SV150 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1019]) ).

thf(1103,plain,
    ! [SV245: $i,SV151: $i,SV333: $i,SV57: $i] :
      ( ( ( cong @ SV57 @ SV333 @ SV151 @ SV333 )
        = $false )
      | ( ( cong @ SV57 @ SV245 @ SV151 @ SV245 )
        = $false )
      | ( ( perp @ SV57 @ SV151 @ SV245 @ SV333 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1020]) ).

thf(1104,plain,
    ! [SV334: $i,SV152: $i,SV246: $i,SV58: $i] :
      ( ( ( cong @ SV58 @ SV246 @ SV152 @ SV246 )
        = $false )
      | ( ( ~ ( cong @ SV58 @ SV334 @ SV152 @ SV334 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV58 @ SV152 @ SV246 @ SV334 ) )
        = $true )
      | ( ( perp @ SV246 @ SV58 @ SV58 @ SV334 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1021]) ).

thf(1105,plain,
    ! [SV439: $i,SV396: $i,SV335: $i,SV247: $i,SV153: $i,SV59: $i] :
      ( ( ( ~ ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SV335 @ SV396 @ SV396 @ SV439 )
          | ~ ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SV335 @ SV439 @ SV396 @ SV439 ) )
        = $true )
      | ( ( coll @ SV59 @ SV153 @ SV247 )
        = $true )
      | ( ( simtri @ SV59 @ SV153 @ SV247 @ SV335 @ SV396 @ SV439 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1022]) ).

thf(1106,plain,
    ! [SV440: $i,SV397: $i,SV336: $i,SV248: $i,SV154: $i,SV60: $i] :
      ( ( ( simtri @ SV60 @ SV154 @ SV248 @ SV336 @ SV397 @ SV440 )
        = $false )
      | ( ( eqratio @ SV60 @ SV154 @ SV60 @ SV248 @ SV336 @ SV397 @ SV336 @ SV440 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1023]) ).

thf(1107,plain,
    ! [SV441: $i,SV398: $i,SV337: $i,SV249: $i,SV155: $i,SV61: $i] :
      ( ( ( simtri @ SV61 @ SV155 @ SV249 @ SV337 @ SV398 @ SV441 )
        = $false )
      | ( ( eqangle @ SV61 @ SV155 @ SV155 @ SV249 @ SV337 @ SV398 @ SV398 @ SV441 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1024]) ).

thf(1108,plain,
    ! [SV442: $i,SV250: $i,SV399: $i,SV338: $i,SV156: $i,SV62: $i] :
      ( ( ( ~ ( cong @ SV62 @ SV156 @ SV338 @ SV399 ) )
        = $true )
      | ( ( ~ ( simtri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 ) )
        = $true )
      | ( ( contri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1025]) ).

thf(1109,plain,
    ! [SV469: $i,SV400: $i,SV339: $i,SV251: $i,SV157: $i,SV63: $i] :
      ( ( ( contri @ SV63 @ SV157 @ SV251 @ SV339 @ SV400 @ SV469 )
        = $false )
      | ( ( cong @ SV63 @ SV157 @ SV339 @ SV400 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1026]) ).

thf(1110,plain,
    ! [SV340: $i,SV252: $i,SV158: $i,SV64: $i,SV443: $i] :
      ( ( ( midp @ SV443 @ SV64 @ SV158 )
        = $false )
      | ( ( ~ ( midp @ SV443 @ SV252 @ SV340 ) )
        = $true )
      | ( ( para @ SV64 @ SV252 @ SV158 @ SV340 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1027]) ).

thf(1111,plain,
    ! [SV341: $i,SV253: $i,SV159: $i,SV65: $i,SV401: $i] :
      ( ( ( ~ ( midp @ SV401 @ SV65 @ SV159 ) )
        = $true )
      | ( ( ~ ( para @ SV65 @ SV253 @ SV159 @ SV341 ) )
        = $true )
      | ( ( ~ ( para @ SV65 @ SV341 @ SV159 @ SV253 ) )
        = $true )
      | ( ( midp @ SV401 @ SV253 @ SV341 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1028]) ).

thf(1112,plain,
    ! [SV342: $i,SV160: $i,SV254: $i,SV66: $i,SV402: $i] :
      ( ( ( ~ ( coll @ SV402 @ SV66 @ SV254 ) )
        = $true )
      | ( ( ~ ( para @ SV66 @ SV160 @ SV254 @ SV342 ) )
        = $true )
      | ( ( ~ ( coll @ SV402 @ SV160 @ SV342 ) )
        = $true )
      | ( ( eqratio @ SV402 @ SV66 @ SV66 @ SV254 @ SV402 @ SV160 @ SV160 @ SV342 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1029]) ).

thf(1113,plain,
    ! [SV343: $i,SV259: $i,SV444: $i,SV165: $i,SV71: $i,SV403: $i] :
      ( ( ( ~ ( midp @ SV403 @ SV71 @ SV165 ) )
        = $true )
      | ( ( ~ ( midp @ SV444 @ SV259 @ SV343 ) )
        = $true )
      | ( ( eqratio @ SV403 @ SV71 @ SV71 @ SV165 @ SV444 @ SV259 @ SV259 @ SV343 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1031]) ).

thf(1114,plain,
    ! [SV483: $i,SV445: $i,SV404: $i,SV346: $i,SV262: $i,SV168: $i,SV74: $i] :
      ( ( ( ! [SY1787: $i] :
              ( ~ ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SV404 @ SV445 @ SV483 @ SY1787 )
              | ~ ( para @ SV404 @ SV445 @ SV483 @ SY1787 ) ) )
        = $true )
      | ( ( para @ SV74 @ SV168 @ SV262 @ SV346 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1034]) ).

thf(1115,plain,
    ! [SV484: $i,SV446: $i,SV405: $i,SV347: $i,SV263: $i,SV169: $i,SV75: $i] :
      ( ( ( ! [SY1788: $i] :
              ( ~ ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SV405 @ SV446 @ SV484 @ SY1788 )
              | ~ ( perp @ SV405 @ SV446 @ SV484 @ SY1788 ) ) )
        = $true )
      | ( ( perp @ SV75 @ SV169 @ SV263 @ SV347 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1035]) ).

thf(1116,plain,
    ! [SV348: $i,SV264: $i,SV170: $i,SV76: $i,SV485: $i,SV447: $i,SV406: $i] :
      ( ( ( ! [SY1789: $i] :
              ( ~ ( cong @ SV406 @ SV447 @ SV485 @ SY1789 )
              | ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SV406 @ SV447 @ SV485 @ SY1789 ) ) )
        = $true )
      | ( ( cong @ SV76 @ SV170 @ SV264 @ SV348 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1036]) ).

thf(1117,plain,
    ! [SV349: $i,SV265: $i,SV448: $i,SV171: $i,SV77: $i,SV407: $i] :
      ( ( ( ~ ( midp @ SV407 @ SV77 @ SV171 )
          | ~ ( midp @ SV448 @ SV265 @ SV349 )
          | ~ ( coll @ SV265 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ~ ( coll @ SV349 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1037]) ).

thf(1118,plain,
    ! [SV351: $i,SV267: $i,SV173: $i,SV79: $i] :
      ( ( ( cyclic @ SV79 @ SV173 @ SV267 @ SV351 )
        = $false )
      | ( ( ~ ( para @ SV79 @ SV173 @ SV267 @ SV351 ) )
        = $true )
      | ( ( ! [SY1238: $i] :
              ~ ( midp @ SY1238 @ SV79 @ SV173 ) )
        = $true )
      | ( ( circle @ ( sK14_O @ SV351 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1038]) ).

thf(1119,plain,
    ! [SV449: $i,SV174: $i,SV268: $i,SV80: $i] :
      ( ( ( perp @ SV80 @ SV268 @ SV268 @ SV174 )
        = $false )
      | ( ( cyclic @ SV80 @ SV174 @ SV268 @ SV449 )
        = $false )
      | ( ( circle @ ( sK13_O @ SV268 @ SV174 @ SV80 ) @ SV80 @ SV174 @ SV268 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1039]) ).

thf(1120,plain,
    ! [SV352: $i,SV269: $i,SV175: $i,SV81: $i] :
      ( ( ( perp @ SV81 @ SV175 @ SV81 @ SV269 )
        = $false )
      | ( ( ~ ( perp @ SV269 @ SV81 @ SV269 @ SV352 ) )
        = $true )
      | ( ( ! [SY1622: $i] :
              ~ ( midp @ SY1622 @ SV175 @ SV352 ) )
        = $true )
      | ( ( midp @ ( sK11_P @ SV352 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1040]) ).

thf(1121,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 ) )
        = $true )
      | ( ( ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 ) )
        = $true )
      | ( ( coll @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1041]) ).

thf(1122,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ( ~ ( cong @ SV270 @ SV82 @ SV270 @ SV176 ) )
        = $true )
      | ( ( ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 ) )
        = $true )
      | ( ( cong @ SV270 @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1042]) ).

thf(1123,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ~ ( ~ ( coll @ SV408 @ SV83 @ SV271 )
            | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
            | ~ ( coll @ SV408 @ SV177 @ SV353 )
            | ~ ( coll @ SV450 @ SV83 @ SV177 )
            | ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1124,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ~ ( ~ ( coll @ SV408 @ SV83 @ SV271 )
            | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
            | ~ ( coll @ SV408 @ SV177 @ SV353 )
            | ~ ( coll @ SV450 @ SV83 @ SV177 )
            | ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1125,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
          | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 ) )
        = $true )
      | ( ( coll @ SV178 @ SV84 @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1044]) ).

thf(1126,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
          | ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 ) )
        = $true )
      | ( ( coll @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SV354 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1045]) ).

thf(1127,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ~ ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                  | ~ ( midp @ SV451 @ SV273 @ SV355 )
                  | ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) )
              | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                  | ~ ( midp @ SV451 @ SV273 @ SV355 )
                  | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1046]) ).

thf(1128,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
            | ~ ( midp @ SV451 @ SV273 @ SV355 )
            | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV451 @ SV85 @ SV273 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1046]) ).

thf(1129,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
          | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 ) )
        = $true )
      | ( ( coll @ SV180 @ SV86 @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1047]) ).

thf(1130,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
          | ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 ) )
        = $true )
      | ( ( coll @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SV356 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1048]) ).

thf(1131,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
          | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 ) )
        = $true )
      | ( ( coll @ SV181 @ SV87 @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1049]) ).

thf(1132,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
          | ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 ) )
        = $true )
      | ( ( coll @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SV357 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1050]) ).

thf(1133,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ~ ( ~ ( midp @ SV452 @ SV88 @ SV182 )
            | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
            | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
            | ~ ( coll @ SV276 @ SV358 @ SV410 )
            | ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1051]) ).

thf(1134,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ~ ( ~ ( midp @ SV452 @ SV88 @ SV182 )
            | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
            | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
            | ~ ( coll @ SV276 @ SV358 @ SV410 )
            | ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1051]) ).

thf(1135,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( ( SV411 = SV453 )
                        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                        | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                        | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
                    | ~ ( ( SV411 = SV453 )
                        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                        | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                        | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
              | ~ ( ( SV411 = SV453 )
                  | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                  | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                  | ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1052]) ).

thf(1136,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ( ( SV411 = SV453 )
            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
            | ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1052]) ).

thf(1137,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
        | ( coll @ SV90 @ SV184 @ SV278 )
        | ( cyclic @ SV360 @ SV184 @ SV278 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1053]) ).

thf(1138,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
        | ( coll @ SV90 @ SV184 @ SV278 )
        | ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1054]) ).

thf(1139,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ~ ( coll @ SV185 @ SV361 @ SV413 )
        | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
        | ( coll @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SV413 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1055]) ).

thf(1140,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ~ ( coll @ SV185 @ SV361 @ SV413 )
        | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
        | ( perp @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SV413 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1056]) ).

thf(1141,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
          | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 ) )
        = $true )
      | ( ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1057]) ).

thf(1142,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
          | ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 ) )
        = $true )
      | ( ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SV362 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1058]) ).

thf(1143,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                | ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) )
            | ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
                | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
                | ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1059]) ).

thf(1144,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
        | ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1060]) ).

thf(1145,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                  | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                  | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
              | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                  | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                  | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
        | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
            | ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1061]) ).

thf(1146,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
          | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( perp @ SV188 @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1062]) ).

thf(1147,plain,
    ! [SV415: $i,SV365: $i,SV286: $i,SV194: $i,SV100: $i,SV6: $i] :
      ( ( ( para @ SV6 @ SV100 @ SV194 @ SV286 )
        = $false )
      | ( ( ~ ( para @ SV194 @ SV286 @ SV365 @ SV415 ) )
        = $true )
      | ( ( para @ SV6 @ SV100 @ SV365 @ SV415 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1064]) ).

thf(1148,plain,
    ! [SV416: $i,SV366: $i,SV289: $i,SV197: $i,SV103: $i,SV9: $i] :
      ( ( ( perp @ SV9 @ SV103 @ SV197 @ SV289 )
        = $false )
      | ( ( ~ ( perp @ SV197 @ SV289 @ SV366 @ SV416 ) )
        = $true )
      | ( ( para @ SV9 @ SV103 @ SV366 @ SV416 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1065]) ).

thf(1149,plain,
    ! [SV417: $i,SV367: $i,SV290: $i,SV198: $i,SV104: $i,SV10: $i] :
      ( ( ( para @ SV10 @ SV104 @ SV198 @ SV290 )
        = $false )
      | ( ( ~ ( perp @ SV198 @ SV290 @ SV367 @ SV417 ) )
        = $true )
      | ( ( perp @ SV10 @ SV104 @ SV367 @ SV417 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1066]) ).

thf(1150,plain,
    ! [SV292: $i,SV201: $i,SV107: $i,SV13: $i,SV418: $i] :
      ( ( ( cong @ SV418 @ SV13 @ SV418 @ SV107 )
        = $false )
      | ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV201 ) )
        = $true )
      | ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV292 ) )
        = $true )
      | ( ( cyclic @ SV13 @ SV107 @ SV201 @ SV292 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1068]) ).

thf(1151,plain,
    ! [SV296: $i,SV368: $i,SV205: $i,SV111: $i,SV17: $i] :
      ( ( ( cyclic @ SV17 @ SV111 @ SV205 @ SV368 )
        = $false )
      | ( ( cyclic @ SV17 @ SV111 @ SV205 @ SV296 )
        = $false )
      | ( ( cyclic @ SV111 @ SV205 @ SV296 @ SV368 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1069]) ).

thf(1152,plain,
    ! [SV470: $i,SV454: $i,SV419: $i,SV369: $i,SV297: $i,SV206: $i,SV112: $i,SV18: $i] :
      ( ( ( ~ ( eqangle @ SV18 @ SV112 @ SV206 @ SV297 @ SV369 @ SV419 @ SV454 @ SV470 ) )
        = $true )
      | ( ( eqangle @ SV112 @ SV18 @ SV206 @ SV297 @ SV369 @ SV419 @ SV454 @ SV470 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1070]) ).

thf(1153,plain,
    ! [SV471: $i,SV455: $i,SV420: $i,SV370: $i,SV298: $i,SV207: $i,SV113: $i,SV19: $i] :
      ( ( ( ~ ( eqangle @ SV19 @ SV113 @ SV207 @ SV298 @ SV370 @ SV420 @ SV455 @ SV471 ) )
        = $true )
      | ( ( eqangle @ SV207 @ SV298 @ SV19 @ SV113 @ SV455 @ SV471 @ SV370 @ SV420 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1071]) ).

thf(1154,plain,
    ! [SV472: $i,SV456: $i,SV421: $i,SV371: $i,SV299: $i,SV208: $i,SV114: $i,SV20: $i] :
      ( ( ( ~ ( eqangle @ SV20 @ SV114 @ SV208 @ SV299 @ SV371 @ SV421 @ SV456 @ SV472 ) )
        = $true )
      | ( ( eqangle @ SV371 @ SV421 @ SV456 @ SV472 @ SV20 @ SV114 @ SV208 @ SV299 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1072]) ).

thf(1155,plain,
    ! [SV473: $i,SV457: $i,SV422: $i,SV372: $i,SV300: $i,SV209: $i,SV115: $i,SV21: $i] :
      ( ( ( ~ ( eqangle @ SV21 @ SV115 @ SV209 @ SV300 @ SV372 @ SV422 @ SV457 @ SV473 ) )
        = $true )
      | ( ( eqangle @ SV21 @ SV115 @ SV372 @ SV422 @ SV209 @ SV300 @ SV457 @ SV473 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1073]) ).

thf(1156,plain,
    ! [SV486: $i,SV474: $i,SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1790: $i,SY1791: $i,SY1792: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 )
            | ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SV486 @ SY1790 @ SY1791 @ SY1792 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV486 @ SY1790 @ SY1791 @ SY1792 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1074]) ).

thf(1157,plain,
    ! [SV424: $i,SV374: $i,SV304: $i,SV213: $i,SV119: $i,SV25: $i] :
      ( ( ( cong @ SV25 @ SV119 @ SV213 @ SV304 )
        = $false )
      | ( ( ~ ( cong @ SV213 @ SV304 @ SV374 @ SV424 ) )
        = $true )
      | ( ( cong @ SV25 @ SV119 @ SV374 @ SV424 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1075]) ).

thf(1158,plain,
    ! [SV475: $i,SV459: $i,SV425: $i,SV375: $i,SV305: $i,SV214: $i,SV120: $i,SV26: $i] :
      ( ( ( ~ ( eqratio @ SV26 @ SV120 @ SV214 @ SV305 @ SV375 @ SV425 @ SV459 @ SV475 ) )
        = $true )
      | ( ( eqratio @ SV120 @ SV26 @ SV214 @ SV305 @ SV375 @ SV425 @ SV459 @ SV475 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1076]) ).

thf(1159,plain,
    ! [SV476: $i,SV460: $i,SV426: $i,SV376: $i,SV306: $i,SV215: $i,SV121: $i,SV27: $i] :
      ( ( ( ~ ( eqratio @ SV27 @ SV121 @ SV215 @ SV306 @ SV376 @ SV426 @ SV460 @ SV476 ) )
        = $true )
      | ( ( eqratio @ SV215 @ SV306 @ SV27 @ SV121 @ SV460 @ SV476 @ SV376 @ SV426 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1077]) ).

thf(1160,plain,
    ! [SV477: $i,SV461: $i,SV427: $i,SV377: $i,SV307: $i,SV216: $i,SV122: $i,SV28: $i] :
      ( ( ( ~ ( eqratio @ SV28 @ SV122 @ SV216 @ SV307 @ SV377 @ SV427 @ SV461 @ SV477 ) )
        = $true )
      | ( ( eqratio @ SV377 @ SV427 @ SV461 @ SV477 @ SV28 @ SV122 @ SV216 @ SV307 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1078]) ).

thf(1161,plain,
    ! [SV478: $i,SV462: $i,SV428: $i,SV378: $i,SV308: $i,SV217: $i,SV123: $i,SV29: $i] :
      ( ( ( ~ ( eqratio @ SV29 @ SV123 @ SV217 @ SV308 @ SV378 @ SV428 @ SV462 @ SV478 ) )
        = $true )
      | ( ( eqratio @ SV29 @ SV123 @ SV378 @ SV428 @ SV217 @ SV308 @ SV462 @ SV478 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1079]) ).

thf(1162,plain,
    ! [SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV487: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ! [SY1793: $i] :
            ( ! [SY1794: $i,SY1795: $i] :
                ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV487 @ SY1793 @ SY1794 @ SY1795 )
                | ~ ( eqratio @ SV487 @ SY1793 @ SY1794 @ SY1795 @ SV379 @ SV429 @ SV463 @ SV479 ) )
            | ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1080]) ).

thf(1163,plain,
    ! [SV488: $i,SV480: $i,SV464: $i,SV433: $i,SV383: $i,SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SV433 )
        | ~ ( simtri @ SV313 @ SV383 @ SV433 @ SV464 @ SV480 @ SV488 )
        | ( simtri @ SV34 @ SV128 @ SV222 @ SV464 @ SV480 @ SV488 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1084]) ).

thf(1164,plain,
    ! [SV489: $i,SV481: $i,SV465: $i,SV437: $i,SV387: $i,SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SV437 )
        | ~ ( contri @ SV317 @ SV387 @ SV437 @ SV465 @ SV481 @ SV489 )
        | ( contri @ SV38 @ SV132 @ SV226 @ SV465 @ SV481 @ SV489 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1088]) ).

thf(1165,plain,
    ! [SV468: $i,SV388: $i,SV323: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
          | ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV468 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SV468 @ SV323 @ SV468 @ SV388 ) )
        = $true )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1092]) ).

thf(1166,plain,
    ! [SV139: $i,SV324: $i,SV233: $i,SV45: $i,SV389: $i] :
      ( ( ( midp @ SV389 @ SV45 @ SV233 )
        = $false )
      | ( ( midp @ SV324 @ SV45 @ SV139 )
        = $false )
      | ( ( para @ SV324 @ SV389 @ SV139 @ SV233 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1093]) ).

thf(1167,plain,
    ! [SV234: $i,SV390: $i,SV140: $i,SV46: $i,SV325: $i] :
      ( ( ( midp @ SV325 @ SV46 @ SV140 )
        = $false )
      | ( ( ~ ( para @ SV325 @ SV390 @ SV140 @ SV234 ) )
        = $true )
      | ( ( ~ ( coll @ SV390 @ SV46 @ SV234 ) )
        = $true )
      | ( ( midp @ SV390 @ SV46 @ SV234 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1094]) ).

thf(1168,plain,
    ! [SV237: $i,SV143: $i,SV391: $i,SV49: $i,SV326: $i] :
      ( ( ( perp @ SV326 @ SV49 @ SV49 @ SV391 )
        = $false )
      | ( ( circle @ SV326 @ SV49 @ SV143 @ SV237 )
        = $false )
      | ( ( eqangle @ SV49 @ SV391 @ SV49 @ SV143 @ SV237 @ SV49 @ SV237 @ SV143 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1095]) ).

thf(1169,plain,
    ! [SV327: $i,SV238: $i,SV144: $i,SV392: $i,SV50: $i] :
      ( ( ( eqangle @ SV50 @ SV392 @ SV50 @ SV144 @ SV238 @ SV50 @ SV238 @ SV144 )
        = $false )
      | ( ( circle @ SV327 @ SV50 @ SV144 @ SV238 )
        = $false )
      | ( ( perp @ SV327 @ SV50 @ SV50 @ SV392 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1096]) ).

thf(1170,plain,
    ! [SV51: $i,SV328: $i,SV239: $i,SV145: $i,SV393: $i] :
      ( ( ( midp @ SV393 @ SV145 @ SV239 )
        = $false )
      | ( ( circle @ SV328 @ SV51 @ SV145 @ SV239 )
        = $false )
      | ( ( eqangle @ SV51 @ SV145 @ SV51 @ SV239 @ SV328 @ SV145 @ SV328 @ SV393 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1097]) ).

thf(1171,plain,
    ! [SV394: $i,SV240: $i,SV146: $i,SV52: $i,SV329: $i] :
      ( ( ( circle @ SV329 @ SV52 @ SV146 @ SV240 )
        = $false )
      | ( ( ~ ( coll @ SV394 @ SV146 @ SV240 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SV329 @ SV146 @ SV329 @ SV394 ) )
        = $true )
      | ( ( midp @ SV394 @ SV146 @ SV240 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1098]) ).

thf(1172,plain,
    ! [SV246: $i,SV152: $i,SV334: $i,SV58: $i] :
      ( ( ( cong @ SV58 @ SV334 @ SV152 @ SV334 )
        = $false )
      | ( ( cong @ SV58 @ SV246 @ SV152 @ SV246 )
        = $false )
      | ( ( ~ ( cyclic @ SV58 @ SV152 @ SV246 @ SV334 ) )
        = $true )
      | ( ( perp @ SV246 @ SV58 @ SV58 @ SV334 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1104]) ).

thf(1173,plain,
    ! [SV439: $i,SV396: $i,SV335: $i,SV247: $i,SV153: $i,SV59: $i] :
      ( ( ( ~ ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SV335 @ SV396 @ SV396 @ SV439 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SV335 @ SV439 @ SV396 @ SV439 ) )
        = $true )
      | ( ( coll @ SV59 @ SV153 @ SV247 )
        = $true )
      | ( ( simtri @ SV59 @ SV153 @ SV247 @ SV335 @ SV396 @ SV439 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1105]) ).

thf(1174,plain,
    ! [SV442: $i,SV250: $i,SV399: $i,SV338: $i,SV156: $i,SV62: $i] :
      ( ( ( cong @ SV62 @ SV156 @ SV338 @ SV399 )
        = $false )
      | ( ( ~ ( simtri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 ) )
        = $true )
      | ( ( contri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1108]) ).

thf(1175,plain,
    ! [SV158: $i,SV64: $i,SV340: $i,SV252: $i,SV443: $i] :
      ( ( ( midp @ SV443 @ SV252 @ SV340 )
        = $false )
      | ( ( midp @ SV443 @ SV64 @ SV158 )
        = $false )
      | ( ( para @ SV64 @ SV252 @ SV158 @ SV340 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1110]) ).

thf(1176,plain,
    ! [SV341: $i,SV253: $i,SV159: $i,SV65: $i,SV401: $i] :
      ( ( ( midp @ SV401 @ SV65 @ SV159 )
        = $false )
      | ( ( ~ ( para @ SV65 @ SV253 @ SV159 @ SV341 ) )
        = $true )
      | ( ( ~ ( para @ SV65 @ SV341 @ SV159 @ SV253 ) )
        = $true )
      | ( ( midp @ SV401 @ SV253 @ SV341 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1111]) ).

thf(1177,plain,
    ! [SV342: $i,SV160: $i,SV254: $i,SV66: $i,SV402: $i] :
      ( ( ( coll @ SV402 @ SV66 @ SV254 )
        = $false )
      | ( ( ~ ( para @ SV66 @ SV160 @ SV254 @ SV342 ) )
        = $true )
      | ( ( ~ ( coll @ SV402 @ SV160 @ SV342 ) )
        = $true )
      | ( ( eqratio @ SV402 @ SV66 @ SV66 @ SV254 @ SV402 @ SV160 @ SV160 @ SV342 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1112]) ).

thf(1178,plain,
    ! [SV343: $i,SV259: $i,SV444: $i,SV165: $i,SV71: $i,SV403: $i] :
      ( ( ( midp @ SV403 @ SV71 @ SV165 )
        = $false )
      | ( ( ~ ( midp @ SV444 @ SV259 @ SV343 ) )
        = $true )
      | ( ( eqratio @ SV403 @ SV71 @ SV71 @ SV165 @ SV444 @ SV259 @ SV259 @ SV343 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1113]) ).

thf(1179,plain,
    ! [SV490: $i,SV483: $i,SV445: $i,SV404: $i,SV346: $i,SV262: $i,SV168: $i,SV74: $i] :
      ( ( ( ~ ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SV404 @ SV445 @ SV483 @ SV490 )
          | ~ ( para @ SV404 @ SV445 @ SV483 @ SV490 ) )
        = $true )
      | ( ( para @ SV74 @ SV168 @ SV262 @ SV346 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1114]) ).

thf(1180,plain,
    ! [SV491: $i,SV484: $i,SV446: $i,SV405: $i,SV347: $i,SV263: $i,SV169: $i,SV75: $i] :
      ( ( ( ~ ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SV405 @ SV446 @ SV484 @ SV491 )
          | ~ ( perp @ SV405 @ SV446 @ SV484 @ SV491 ) )
        = $true )
      | ( ( perp @ SV75 @ SV169 @ SV263 @ SV347 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1115]) ).

thf(1181,plain,
    ! [SV348: $i,SV264: $i,SV170: $i,SV76: $i,SV492: $i,SV485: $i,SV447: $i,SV406: $i] :
      ( ( ( ~ ( cong @ SV406 @ SV447 @ SV485 @ SV492 )
          | ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SV406 @ SV447 @ SV485 @ SV492 ) )
        = $true )
      | ( ( cong @ SV76 @ SV170 @ SV264 @ SV348 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1116]) ).

thf(1182,plain,
    ! [SV349: $i,SV265: $i,SV448: $i,SV171: $i,SV77: $i,SV407: $i] :
      ( ( ( ~ ( midp @ SV407 @ SV77 @ SV171 )
          | ~ ( midp @ SV448 @ SV265 @ SV349 ) )
        = $true )
      | ( ( ~ ( coll @ SV265 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ~ ( coll @ SV349 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1117]) ).

thf(1183,plain,
    ! [SV351: $i,SV267: $i,SV173: $i,SV79: $i] :
      ( ( ( para @ SV79 @ SV173 @ SV267 @ SV351 )
        = $false )
      | ( ( cyclic @ SV79 @ SV173 @ SV267 @ SV351 )
        = $false )
      | ( ( ! [SY1238: $i] :
              ~ ( midp @ SY1238 @ SV79 @ SV173 ) )
        = $true )
      | ( ( circle @ ( sK14_O @ SV351 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1118]) ).

thf(1184,plain,
    ! [SV175: $i,SV352: $i,SV81: $i,SV269: $i] :
      ( ( ( perp @ SV269 @ SV81 @ SV269 @ SV352 )
        = $false )
      | ( ( perp @ SV81 @ SV175 @ SV81 @ SV269 )
        = $false )
      | ( ( ! [SY1622: $i] :
              ~ ( midp @ SY1622 @ SV175 @ SV352 ) )
        = $true )
      | ( ( midp @ ( sK11_P @ SV352 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1120]) ).

thf(1185,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
        = $false )
      | ( ( ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 ) )
        = $true )
      | ( ( coll @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1121]) ).

thf(1186,plain,
    ! [SV176: $i,SV82: $i,SV270: $i] :
      ( ( ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
        = $false )
      | ( ( ~ ( perp @ SV82 @ SV270 @ SV270 @ SV176 ) )
        = $true )
      | ( ( cong @ SV270 @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1122]) ).

thf(1187,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ~ ( coll @ SV408 @ SV83 @ SV271 )
        | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
        | ~ ( coll @ SV408 @ SV177 @ SV353 )
        | ~ ( coll @ SV450 @ SV83 @ SV177 )
        | ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1123]) ).

thf(1188,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ~ ( coll @ SV408 @ SV83 @ SV271 )
        | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
        | ~ ( coll @ SV408 @ SV177 @ SV353 )
        | ~ ( coll @ SV450 @ SV83 @ SV177 )
        | ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1124]) ).

thf(1189,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 ) )
        = $true )
      | ( ( ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 ) )
        = $true )
      | ( ( coll @ SV178 @ SV84 @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1125]) ).

thf(1190,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ( ~ ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 ) )
        = $true )
      | ( ( ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 ) )
        = $true )
      | ( ( coll @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SV354 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1126]) ).

thf(1191,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                | ~ ( midp @ SV451 @ SV273 @ SV355 )
                | ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) )
            | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
                | ~ ( midp @ SV451 @ SV273 @ SV355 )
                | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1127]) ).

thf(1192,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( midp @ SV409 @ SV85 @ SV179 )
        | ~ ( midp @ SV451 @ SV273 @ SV355 )
        | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV451 @ SV85 @ SV273 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1128]) ).

thf(1193,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 ) )
        = $true )
      | ( ( coll @ SV180 @ SV86 @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1129]) ).

thf(1194,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ( ~ ( cong @ SV274 @ SV86 @ SV274 @ SV180 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 ) )
        = $true )
      | ( ( coll @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SV356 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1130]) ).

thf(1195,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 ) )
        = $true )
      | ( ( ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 ) )
        = $true )
      | ( ( coll @ SV181 @ SV87 @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1131]) ).

thf(1196,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ( ~ ( cong @ SV275 @ SV87 @ SV275 @ SV181 ) )
        = $true )
      | ( ( ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 ) )
        = $true )
      | ( ( coll @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SV357 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1132]) ).

thf(1197,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ~ ( midp @ SV452 @ SV88 @ SV182 )
        | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
        | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
        | ~ ( coll @ SV276 @ SV358 @ SV410 )
        | ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1133]) ).

thf(1198,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ~ ( midp @ SV452 @ SV88 @ SV182 )
        | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
        | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
        | ~ ( coll @ SV276 @ SV358 @ SV410 )
        | ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1134]) ).

thf(1199,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ( ~ ~ ( ~ ( ( SV411 = SV453 )
                      | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                      | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                      | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                      | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
                  | ~ ( ( SV411 = SV453 )
                      | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                      | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                      | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                      | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
            | ~ ( ( SV411 = SV453 )
                | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                | ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1135]) ).

thf(1200,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( SV411 = SV453 )
        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
        | ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1136]) ).

thf(1201,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
          | ( coll @ SV90 @ SV184 @ SV278 ) )
        = $true )
      | ( ( cyclic @ SV360 @ SV184 @ SV278 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1137]) ).

thf(1202,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
          | ( coll @ SV90 @ SV184 @ SV278 ) )
        = $true )
      | ( ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1138]) ).

thf(1203,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ( ~ ( coll @ SV185 @ SV361 @ SV413 )
          | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 ) )
        = $true )
      | ( ( coll @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SV413 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1139]) ).

thf(1204,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ( ~ ( coll @ SV185 @ SV361 @ SV413 )
          | ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 ) )
        = $true )
      | ( ( perp @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SV413 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1140]) ).

thf(1205,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 ) )
        = $true )
      | ( ( ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 ) )
        = $true )
      | ( ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1141]) ).

thf(1206,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ( ~ ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 ) )
        = $true )
      | ( ( ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 ) )
        = $true )
      | ( ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SV362 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1142]) ).

thf(1207,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
            | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
            | ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) )
        | ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
            | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
            | ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1143]) ).

thf(1208,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
          | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1144]) ).

thf(1209,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ~ ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                  | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                  | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
              | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                  | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                  | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1145]) ).

thf(1210,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
            | ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1145]) ).

thf(1211,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 ) )
        = $true )
      | ( ( ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( perp @ SV188 @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1146]) ).

thf(1212,plain,
    ! [SV100: $i,SV6: $i,SV415: $i,SV365: $i,SV286: $i,SV194: $i] :
      ( ( ( para @ SV194 @ SV286 @ SV365 @ SV415 )
        = $false )
      | ( ( para @ SV6 @ SV100 @ SV194 @ SV286 )
        = $false )
      | ( ( para @ SV6 @ SV100 @ SV365 @ SV415 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1147]) ).

thf(1213,plain,
    ! [SV103: $i,SV9: $i,SV416: $i,SV366: $i,SV289: $i,SV197: $i] :
      ( ( ( perp @ SV197 @ SV289 @ SV366 @ SV416 )
        = $false )
      | ( ( perp @ SV9 @ SV103 @ SV197 @ SV289 )
        = $false )
      | ( ( para @ SV9 @ SV103 @ SV366 @ SV416 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1148]) ).

thf(1214,plain,
    ! [SV104: $i,SV10: $i,SV417: $i,SV367: $i,SV290: $i,SV198: $i] :
      ( ( ( perp @ SV198 @ SV290 @ SV367 @ SV417 )
        = $false )
      | ( ( para @ SV10 @ SV104 @ SV198 @ SV290 )
        = $false )
      | ( ( perp @ SV10 @ SV104 @ SV367 @ SV417 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1149]) ).

thf(1215,plain,
    ! [SV292: $i,SV107: $i,SV201: $i,SV13: $i,SV418: $i] :
      ( ( ( cong @ SV418 @ SV13 @ SV418 @ SV201 )
        = $false )
      | ( ( cong @ SV418 @ SV13 @ SV418 @ SV107 )
        = $false )
      | ( ( ~ ( cong @ SV418 @ SV13 @ SV418 @ SV292 ) )
        = $true )
      | ( ( cyclic @ SV13 @ SV107 @ SV201 @ SV292 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1150]) ).

thf(1216,plain,
    ! [SV470: $i,SV454: $i,SV419: $i,SV369: $i,SV297: $i,SV206: $i,SV112: $i,SV18: $i] :
      ( ( ( eqangle @ SV18 @ SV112 @ SV206 @ SV297 @ SV369 @ SV419 @ SV454 @ SV470 )
        = $false )
      | ( ( eqangle @ SV112 @ SV18 @ SV206 @ SV297 @ SV369 @ SV419 @ SV454 @ SV470 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1152]) ).

thf(1217,plain,
    ! [SV471: $i,SV455: $i,SV420: $i,SV370: $i,SV298: $i,SV207: $i,SV113: $i,SV19: $i] :
      ( ( ( eqangle @ SV19 @ SV113 @ SV207 @ SV298 @ SV370 @ SV420 @ SV455 @ SV471 )
        = $false )
      | ( ( eqangle @ SV207 @ SV298 @ SV19 @ SV113 @ SV455 @ SV471 @ SV370 @ SV420 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1153]) ).

thf(1218,plain,
    ! [SV472: $i,SV456: $i,SV421: $i,SV371: $i,SV299: $i,SV208: $i,SV114: $i,SV20: $i] :
      ( ( ( eqangle @ SV20 @ SV114 @ SV208 @ SV299 @ SV371 @ SV421 @ SV456 @ SV472 )
        = $false )
      | ( ( eqangle @ SV371 @ SV421 @ SV456 @ SV472 @ SV20 @ SV114 @ SV208 @ SV299 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1154]) ).

thf(1219,plain,
    ! [SV473: $i,SV457: $i,SV422: $i,SV372: $i,SV300: $i,SV209: $i,SV115: $i,SV21: $i] :
      ( ( ( eqangle @ SV21 @ SV115 @ SV209 @ SV300 @ SV372 @ SV422 @ SV457 @ SV473 )
        = $false )
      | ( ( eqangle @ SV21 @ SV115 @ SV372 @ SV422 @ SV209 @ SV300 @ SV457 @ SV473 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1155]) ).

thf(1220,plain,
    ! [SV493: $i,SV486: $i,SV474: $i,SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1796: $i,SY1797: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 )
            | ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SV486 @ SV493 @ SY1796 @ SY1797 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV486 @ SV493 @ SY1796 @ SY1797 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1156]) ).

thf(1221,plain,
    ! [SV119: $i,SV25: $i,SV424: $i,SV374: $i,SV304: $i,SV213: $i] :
      ( ( ( cong @ SV213 @ SV304 @ SV374 @ SV424 )
        = $false )
      | ( ( cong @ SV25 @ SV119 @ SV213 @ SV304 )
        = $false )
      | ( ( cong @ SV25 @ SV119 @ SV374 @ SV424 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1157]) ).

thf(1222,plain,
    ! [SV475: $i,SV459: $i,SV425: $i,SV375: $i,SV305: $i,SV214: $i,SV120: $i,SV26: $i] :
      ( ( ( eqratio @ SV26 @ SV120 @ SV214 @ SV305 @ SV375 @ SV425 @ SV459 @ SV475 )
        = $false )
      | ( ( eqratio @ SV120 @ SV26 @ SV214 @ SV305 @ SV375 @ SV425 @ SV459 @ SV475 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1158]) ).

thf(1223,plain,
    ! [SV476: $i,SV460: $i,SV426: $i,SV376: $i,SV306: $i,SV215: $i,SV121: $i,SV27: $i] :
      ( ( ( eqratio @ SV27 @ SV121 @ SV215 @ SV306 @ SV376 @ SV426 @ SV460 @ SV476 )
        = $false )
      | ( ( eqratio @ SV215 @ SV306 @ SV27 @ SV121 @ SV460 @ SV476 @ SV376 @ SV426 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1159]) ).

thf(1224,plain,
    ! [SV477: $i,SV461: $i,SV427: $i,SV377: $i,SV307: $i,SV216: $i,SV122: $i,SV28: $i] :
      ( ( ( eqratio @ SV28 @ SV122 @ SV216 @ SV307 @ SV377 @ SV427 @ SV461 @ SV477 )
        = $false )
      | ( ( eqratio @ SV377 @ SV427 @ SV461 @ SV477 @ SV28 @ SV122 @ SV216 @ SV307 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1160]) ).

thf(1225,plain,
    ! [SV478: $i,SV462: $i,SV428: $i,SV378: $i,SV308: $i,SV217: $i,SV123: $i,SV29: $i] :
      ( ( ( eqratio @ SV29 @ SV123 @ SV217 @ SV308 @ SV378 @ SV428 @ SV462 @ SV478 )
        = $false )
      | ( ( eqratio @ SV29 @ SV123 @ SV378 @ SV428 @ SV217 @ SV308 @ SV462 @ SV478 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1161]) ).

thf(1226,plain,
    ! [SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV494: $i,SV487: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ! [SY1798: $i,SY1799: $i] :
            ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV487 @ SV494 @ SY1798 @ SY1799 )
            | ~ ( eqratio @ SV487 @ SV494 @ SY1798 @ SY1799 @ SV379 @ SV429 @ SV463 @ SV479 ) )
        | ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1227,plain,
    ! [SV488: $i,SV480: $i,SV464: $i,SV433: $i,SV383: $i,SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SV433 )
          | ~ ( simtri @ SV313 @ SV383 @ SV433 @ SV464 @ SV480 @ SV488 ) )
        = $true )
      | ( ( simtri @ SV34 @ SV128 @ SV222 @ SV464 @ SV480 @ SV488 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1163]) ).

thf(1228,plain,
    ! [SV489: $i,SV481: $i,SV465: $i,SV437: $i,SV387: $i,SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SV437 )
          | ~ ( contri @ SV317 @ SV387 @ SV437 @ SV465 @ SV481 @ SV489 ) )
        = $true )
      | ( ( contri @ SV38 @ SV132 @ SV226 @ SV465 @ SV481 @ SV489 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1164]) ).

thf(1229,plain,
    ! [SV468: $i,SV388: $i,SV323: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV468 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SV468 @ SV323 @ SV468 @ SV388 ) )
        = $true )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1165]) ).

thf(1230,plain,
    ! [SV46: $i,SV234: $i,SV140: $i,SV390: $i,SV325: $i] :
      ( ( ( para @ SV325 @ SV390 @ SV140 @ SV234 )
        = $false )
      | ( ( midp @ SV325 @ SV46 @ SV140 )
        = $false )
      | ( ( ~ ( coll @ SV390 @ SV46 @ SV234 ) )
        = $true )
      | ( ( midp @ SV390 @ SV46 @ SV234 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1167]) ).

thf(1231,plain,
    ! [SV52: $i,SV329: $i,SV240: $i,SV146: $i,SV394: $i] :
      ( ( ( coll @ SV394 @ SV146 @ SV240 )
        = $false )
      | ( ( circle @ SV329 @ SV52 @ SV146 @ SV240 )
        = $false )
      | ( ( ~ ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SV329 @ SV146 @ SV329 @ SV394 ) )
        = $true )
      | ( ( midp @ SV394 @ SV146 @ SV240 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1171]) ).

thf(1232,plain,
    ! [SV334: $i,SV246: $i,SV152: $i,SV58: $i] :
      ( ( ( cyclic @ SV58 @ SV152 @ SV246 @ SV334 )
        = $false )
      | ( ( cong @ SV58 @ SV246 @ SV152 @ SV246 )
        = $false )
      | ( ( cong @ SV58 @ SV334 @ SV152 @ SV334 )
        = $false )
      | ( ( perp @ SV246 @ SV58 @ SV58 @ SV334 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1172]) ).

thf(1233,plain,
    ! [SV439: $i,SV396: $i,SV335: $i,SV247: $i,SV153: $i,SV59: $i] :
      ( ( ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SV335 @ SV396 @ SV396 @ SV439 )
        = $false )
      | ( ( ~ ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SV335 @ SV439 @ SV396 @ SV439 ) )
        = $true )
      | ( ( coll @ SV59 @ SV153 @ SV247 )
        = $true )
      | ( ( simtri @ SV59 @ SV153 @ SV247 @ SV335 @ SV396 @ SV439 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1173]) ).

thf(1234,plain,
    ! [SV442: $i,SV399: $i,SV338: $i,SV250: $i,SV156: $i,SV62: $i] :
      ( ( ( simtri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 )
        = $false )
      | ( ( cong @ SV62 @ SV156 @ SV338 @ SV399 )
        = $false )
      | ( ( contri @ SV62 @ SV156 @ SV250 @ SV338 @ SV399 @ SV442 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1174]) ).

thf(1235,plain,
    ! [SV401: $i,SV341: $i,SV159: $i,SV253: $i,SV65: $i] :
      ( ( ( para @ SV65 @ SV253 @ SV159 @ SV341 )
        = $false )
      | ( ( midp @ SV401 @ SV65 @ SV159 )
        = $false )
      | ( ( ~ ( para @ SV65 @ SV341 @ SV159 @ SV253 ) )
        = $true )
      | ( ( midp @ SV401 @ SV253 @ SV341 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1176]) ).

thf(1236,plain,
    ! [SV402: $i,SV342: $i,SV254: $i,SV160: $i,SV66: $i] :
      ( ( ( para @ SV66 @ SV160 @ SV254 @ SV342 )
        = $false )
      | ( ( coll @ SV402 @ SV66 @ SV254 )
        = $false )
      | ( ( ~ ( coll @ SV402 @ SV160 @ SV342 ) )
        = $true )
      | ( ( eqratio @ SV402 @ SV66 @ SV66 @ SV254 @ SV402 @ SV160 @ SV160 @ SV342 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1177]) ).

thf(1237,plain,
    ! [SV165: $i,SV71: $i,SV403: $i,SV343: $i,SV259: $i,SV444: $i] :
      ( ( ( midp @ SV444 @ SV259 @ SV343 )
        = $false )
      | ( ( midp @ SV403 @ SV71 @ SV165 )
        = $false )
      | ( ( eqratio @ SV403 @ SV71 @ SV71 @ SV165 @ SV444 @ SV259 @ SV259 @ SV343 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1178]) ).

thf(1238,plain,
    ! [SV490: $i,SV483: $i,SV445: $i,SV404: $i,SV346: $i,SV262: $i,SV168: $i,SV74: $i] :
      ( ( ( ~ ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SV404 @ SV445 @ SV483 @ SV490 ) )
        = $true )
      | ( ( ~ ( para @ SV404 @ SV445 @ SV483 @ SV490 ) )
        = $true )
      | ( ( para @ SV74 @ SV168 @ SV262 @ SV346 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1179]) ).

thf(1239,plain,
    ! [SV491: $i,SV484: $i,SV446: $i,SV405: $i,SV347: $i,SV263: $i,SV169: $i,SV75: $i] :
      ( ( ( ~ ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SV405 @ SV446 @ SV484 @ SV491 ) )
        = $true )
      | ( ( ~ ( perp @ SV405 @ SV446 @ SV484 @ SV491 ) )
        = $true )
      | ( ( perp @ SV75 @ SV169 @ SV263 @ SV347 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1180]) ).

thf(1240,plain,
    ! [SV348: $i,SV264: $i,SV170: $i,SV76: $i,SV492: $i,SV485: $i,SV447: $i,SV406: $i] :
      ( ( ( ~ ( cong @ SV406 @ SV447 @ SV485 @ SV492 ) )
        = $true )
      | ( ( ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SV406 @ SV447 @ SV485 @ SV492 ) )
        = $true )
      | ( ( cong @ SV76 @ SV170 @ SV264 @ SV348 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1181]) ).

thf(1241,plain,
    ! [SV349: $i,SV265: $i,SV448: $i,SV171: $i,SV77: $i,SV407: $i] :
      ( ( ( ~ ( midp @ SV407 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ~ ( midp @ SV448 @ SV265 @ SV349 ) )
        = $true )
      | ( ( ~ ( coll @ SV265 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ~ ( coll @ SV349 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1182]) ).

thf(1242,plain,
    ! [SV351: $i,SV267: $i,SV173: $i,SV79: $i,SV495: $i] :
      ( ( ( ~ ( midp @ SV495 @ SV79 @ SV173 ) )
        = $true )
      | ( ( cyclic @ SV79 @ SV173 @ SV267 @ SV351 )
        = $false )
      | ( ( para @ SV79 @ SV173 @ SV267 @ SV351 )
        = $false )
      | ( ( circle @ ( sK14_O @ SV351 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1183]) ).

thf(1243,plain,
    ! [SV269: $i,SV81: $i,SV352: $i,SV175: $i,SV496: $i] :
      ( ( ( ~ ( midp @ SV496 @ SV175 @ SV352 ) )
        = $true )
      | ( ( perp @ SV81 @ SV175 @ SV81 @ SV269 )
        = $false )
      | ( ( perp @ SV269 @ SV81 @ SV269 @ SV352 )
        = $false )
      | ( ( midp @ ( sK11_P @ SV352 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1184]) ).

thf(1244,plain,
    ! [SV176: $i,SV270: $i,SV82: $i] :
      ( ( ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
        = $false )
      | ( ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
        = $false )
      | ( ( coll @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1185]) ).

thf(1245,plain,
    ! [SV176: $i,SV270: $i,SV82: $i] :
      ( ( ( perp @ SV82 @ SV270 @ SV270 @ SV176 )
        = $false )
      | ( ( cong @ SV270 @ SV82 @ SV270 @ SV176 )
        = $false )
      | ( ( cong @ SV270 @ SV82 @ SV270 @ ( sK10_C @ SV270 @ SV176 @ SV82 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1186]) ).

thf(1246,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( ~ ( coll @ SV408 @ SV83 @ SV271 )
          | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
          | ~ ( coll @ SV408 @ SV177 @ SV353 )
          | ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1187]) ).

thf(1247,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( ~ ( coll @ SV408 @ SV83 @ SV271 )
          | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
          | ~ ( coll @ SV408 @ SV177 @ SV353 )
          | ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1188]) ).

thf(1248,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
        = $false )
      | ( ( ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 ) )
        = $true )
      | ( ( coll @ SV178 @ SV84 @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1189]) ).

thf(1249,plain,
    ! [SV178: $i,SV354: $i,SV272: $i,SV84: $i] :
      ( ( ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
        = $false )
      | ( ( ~ ( perp @ SV272 @ SV354 @ SV84 @ SV178 ) )
        = $true )
      | ( ( coll @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SV354 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1190]) ).

thf(1250,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
            | ~ ( midp @ SV451 @ SV273 @ SV355 )
            | ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) )
        | ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
            | ~ ( midp @ SV451 @ SV273 @ SV355 )
            | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1191]) ).

thf(1251,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( ~ ( midp @ SV409 @ SV85 @ SV179 )
          | ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV451 @ SV85 @ SV273 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1192]) ).

thf(1252,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
        = $false )
      | ( ( ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 ) )
        = $true )
      | ( ( coll @ SV180 @ SV86 @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1193]) ).

thf(1253,plain,
    ! [SV356: $i,SV180: $i,SV86: $i,SV274: $i] :
      ( ( ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
        = $false )
      | ( ( ~ ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 ) )
        = $true )
      | ( ( coll @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1194]) ).

thf(1254,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
        = $false )
      | ( ( ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 ) )
        = $true )
      | ( ( coll @ SV181 @ SV87 @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1195]) ).

thf(1255,plain,
    ! [SV357: $i,SV181: $i,SV87: $i,SV275: $i] :
      ( ( ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
        = $false )
      | ( ( ~ ( perp @ SV275 @ SV357 @ SV87 @ SV181 ) )
        = $true )
      | ( ( coll @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SV357 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1196]) ).

thf(1256,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( ~ ( midp @ SV452 @ SV88 @ SV182 )
          | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
          | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
          | ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1197]) ).

thf(1257,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( ~ ( midp @ SV452 @ SV88 @ SV182 )
          | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
          | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 )
          | ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1198]) ).

thf(1258,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ~ ( ~ ( ( SV411 = SV453 )
                  | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                  | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                  | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
              | ~ ( ( SV411 = SV453 )
                  | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                  | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                  | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
        | ~ ( ( SV411 = SV453 )
            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
            | ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1199]) ).

thf(1259,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( ( SV411 = SV453 )
          | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
          | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1200]) ).

thf(1260,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 ) )
        = $true )
      | ( ( coll @ SV90 @ SV184 @ SV278 )
        = $true )
      | ( ( cyclic @ SV360 @ SV184 @ SV278 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1201]) ).

thf(1261,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ( ~ ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 ) )
        = $true )
      | ( ( coll @ SV90 @ SV184 @ SV278 )
        = $true )
      | ( ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1202]) ).

thf(1262,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ( ~ ( coll @ SV185 @ SV361 @ SV413 ) )
        = $true )
      | ( ( ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 ) )
        = $true )
      | ( ( coll @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SV413 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1203]) ).

thf(1263,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ( ~ ( coll @ SV185 @ SV361 @ SV413 ) )
        = $true )
      | ( ( ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 ) )
        = $true )
      | ( ( perp @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SV413 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1204]) ).

thf(1264,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
        = $false )
      | ( ( ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 ) )
        = $true )
      | ( ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1205]) ).

thf(1265,plain,
    ! [SV92: $i,SV186: $i,SV280: $i,SV362: $i] :
      ( ( ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
        = $false )
      | ( ( ~ ( perp @ SV280 @ SV186 @ SV186 @ SV92 ) )
        = $true )
      | ( ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SV362 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1206]) ).

thf(1266,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
            | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
            | ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1207]) ).

thf(1267,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
            | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
            | ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1207]) ).

thf(1268,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 ) )
        = $true )
      | ( ( ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1208]) ).

thf(1269,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
            | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
                | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
                | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1209]) ).

thf(1270,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
        | ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1210]) ).

thf(1271,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        = $false )
      | ( ( ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( perp @ SV188 @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1211]) ).

thf(1272,plain,
    ! [SV201: $i,SV107: $i,SV292: $i,SV13: $i,SV418: $i] :
      ( ( ( cong @ SV418 @ SV13 @ SV418 @ SV292 )
        = $false )
      | ( ( cong @ SV418 @ SV13 @ SV418 @ SV107 )
        = $false )
      | ( ( cong @ SV418 @ SV13 @ SV418 @ SV201 )
        = $false )
      | ( ( cyclic @ SV13 @ SV107 @ SV201 @ SV292 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1215]) ).

thf(1273,plain,
    ! [SV497: $i,SV493: $i,SV486: $i,SV474: $i,SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ! [SY1800: $i] :
            ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 )
            | ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SV486 @ SV493 @ SV497 @ SY1800 )
            | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV486 @ SV493 @ SV497 @ SY1800 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1220]) ).

thf(1274,plain,
    ! [SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV494: $i,SV487: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ( ! [SY1798: $i,SY1799: $i] :
              ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV487 @ SV494 @ SY1798 @ SY1799 )
              | ~ ( eqratio @ SV487 @ SV494 @ SY1798 @ SY1799 @ SV379 @ SV429 @ SV463 @ SV479 ) ) )
        = $true )
      | ( ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1226]) ).

thf(1275,plain,
    ! [SV488: $i,SV480: $i,SV464: $i,SV433: $i,SV383: $i,SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ( ~ ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SV433 ) )
        = $true )
      | ( ( ~ ( simtri @ SV313 @ SV383 @ SV433 @ SV464 @ SV480 @ SV488 ) )
        = $true )
      | ( ( simtri @ SV34 @ SV128 @ SV222 @ SV464 @ SV480 @ SV488 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1227]) ).

thf(1276,plain,
    ! [SV489: $i,SV481: $i,SV465: $i,SV437: $i,SV387: $i,SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ( ~ ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SV437 ) )
        = $true )
      | ( ( ~ ( contri @ SV317 @ SV387 @ SV437 @ SV465 @ SV481 @ SV489 ) )
        = $true )
      | ( ( contri @ SV38 @ SV132 @ SV226 @ SV465 @ SV481 @ SV489 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1228]) ).

thf(1277,plain,
    ! [SV468: $i,SV388: $i,SV323: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
        = $false )
      | ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 ) )
        = $true )
      | ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV468 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SV468 @ SV323 @ SV468 @ SV388 ) )
        = $true )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1229]) ).

thf(1278,plain,
    ! [SV140: $i,SV325: $i,SV234: $i,SV46: $i,SV390: $i] :
      ( ( ( coll @ SV390 @ SV46 @ SV234 )
        = $false )
      | ( ( midp @ SV325 @ SV46 @ SV140 )
        = $false )
      | ( ( para @ SV325 @ SV390 @ SV140 @ SV234 )
        = $false )
      | ( ( midp @ SV390 @ SV46 @ SV234 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1230]) ).

thf(1279,plain,
    ! [SV394: $i,SV329: $i,SV240: $i,SV146: $i,SV52: $i] :
      ( ( ( eqangle @ SV52 @ SV146 @ SV52 @ SV240 @ SV329 @ SV146 @ SV329 @ SV394 )
        = $false )
      | ( ( circle @ SV329 @ SV52 @ SV146 @ SV240 )
        = $false )
      | ( ( coll @ SV394 @ SV146 @ SV240 )
        = $false )
      | ( ( midp @ SV394 @ SV146 @ SV240 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1231]) ).

thf(1280,plain,
    ! [SV396: $i,SV439: $i,SV335: $i,SV153: $i,SV247: $i,SV59: $i] :
      ( ( ( eqangle @ SV59 @ SV247 @ SV153 @ SV247 @ SV335 @ SV439 @ SV396 @ SV439 )
        = $false )
      | ( ( eqangle @ SV59 @ SV153 @ SV153 @ SV247 @ SV335 @ SV396 @ SV396 @ SV439 )
        = $false )
      | ( ( coll @ SV59 @ SV153 @ SV247 )
        = $true )
      | ( ( simtri @ SV59 @ SV153 @ SV247 @ SV335 @ SV396 @ SV439 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1233]) ).

thf(1281,plain,
    ! [SV401: $i,SV253: $i,SV159: $i,SV341: $i,SV65: $i] :
      ( ( ( para @ SV65 @ SV341 @ SV159 @ SV253 )
        = $false )
      | ( ( midp @ SV401 @ SV65 @ SV159 )
        = $false )
      | ( ( para @ SV65 @ SV253 @ SV159 @ SV341 )
        = $false )
      | ( ( midp @ SV401 @ SV253 @ SV341 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1235]) ).

thf(1282,plain,
    ! [SV254: $i,SV66: $i,SV342: $i,SV160: $i,SV402: $i] :
      ( ( ( coll @ SV402 @ SV160 @ SV342 )
        = $false )
      | ( ( coll @ SV402 @ SV66 @ SV254 )
        = $false )
      | ( ( para @ SV66 @ SV160 @ SV254 @ SV342 )
        = $false )
      | ( ( eqratio @ SV402 @ SV66 @ SV66 @ SV254 @ SV402 @ SV160 @ SV160 @ SV342 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1236]) ).

thf(1283,plain,
    ! [SV490: $i,SV483: $i,SV445: $i,SV404: $i,SV346: $i,SV262: $i,SV168: $i,SV74: $i] :
      ( ( ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SV404 @ SV445 @ SV483 @ SV490 )
        = $false )
      | ( ( ~ ( para @ SV404 @ SV445 @ SV483 @ SV490 ) )
        = $true )
      | ( ( para @ SV74 @ SV168 @ SV262 @ SV346 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1238]) ).

thf(1284,plain,
    ! [SV491: $i,SV484: $i,SV446: $i,SV405: $i,SV347: $i,SV263: $i,SV169: $i,SV75: $i] :
      ( ( ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SV405 @ SV446 @ SV484 @ SV491 )
        = $false )
      | ( ( ~ ( perp @ SV405 @ SV446 @ SV484 @ SV491 ) )
        = $true )
      | ( ( perp @ SV75 @ SV169 @ SV263 @ SV347 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1239]) ).

thf(1285,plain,
    ! [SV348: $i,SV264: $i,SV170: $i,SV76: $i,SV492: $i,SV485: $i,SV447: $i,SV406: $i] :
      ( ( ( cong @ SV406 @ SV447 @ SV485 @ SV492 )
        = $false )
      | ( ( ~ ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SV406 @ SV447 @ SV485 @ SV492 ) )
        = $true )
      | ( ( cong @ SV76 @ SV170 @ SV264 @ SV348 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1240]) ).

thf(1286,plain,
    ! [SV349: $i,SV265: $i,SV448: $i,SV171: $i,SV77: $i,SV407: $i] :
      ( ( ( midp @ SV407 @ SV77 @ SV171 )
        = $false )
      | ( ( ~ ( midp @ SV448 @ SV265 @ SV349 ) )
        = $true )
      | ( ( ~ ( coll @ SV265 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ~ ( coll @ SV349 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1241]) ).

thf(1287,plain,
    ! [SV351: $i,SV267: $i,SV173: $i,SV79: $i,SV495: $i] :
      ( ( ( midp @ SV495 @ SV79 @ SV173 )
        = $false )
      | ( ( cyclic @ SV79 @ SV173 @ SV267 @ SV351 )
        = $false )
      | ( ( para @ SV79 @ SV173 @ SV267 @ SV351 )
        = $false )
      | ( ( circle @ ( sK14_O @ SV351 @ SV267 @ SV173 @ SV79 ) @ SV79 @ SV173 @ SV267 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1242]) ).

thf(1288,plain,
    ! [SV269: $i,SV81: $i,SV352: $i,SV175: $i,SV496: $i] :
      ( ( ( midp @ SV496 @ SV175 @ SV352 )
        = $false )
      | ( ( perp @ SV81 @ SV175 @ SV81 @ SV269 )
        = $false )
      | ( ( perp @ SV269 @ SV81 @ SV269 @ SV352 )
        = $false )
      | ( ( midp @ ( sK11_P @ SV352 @ SV269 @ SV175 @ SV81 ) @ SV81 @ SV269 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1243]) ).

thf(1289,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( ~ ( coll @ SV408 @ SV83 @ SV271 )
          | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
          | ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1246]) ).

thf(1290,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( ~ ( coll @ SV408 @ SV83 @ SV271 )
          | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 )
          | ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1247]) ).

thf(1291,plain,
    ! [SV178: $i,SV84: $i,SV354: $i,SV272: $i] :
      ( ( ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
        = $false )
      | ( ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
        = $false )
      | ( ( coll @ SV178 @ SV84 @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1248]) ).

thf(1292,plain,
    ! [SV178: $i,SV84: $i,SV354: $i,SV272: $i] :
      ( ( ( perp @ SV272 @ SV354 @ SV84 @ SV178 )
        = $false )
      | ( ( eqangle @ SV84 @ SV272 @ SV272 @ SV354 @ SV272 @ SV354 @ SV272 @ SV178 )
        = $false )
      | ( ( coll @ ( sK26_M @ SV354 @ SV272 @ SV178 @ SV84 ) @ SV272 @ SV354 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1249]) ).

thf(1293,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
            | ~ ( midp @ SV451 @ SV273 @ SV355 )
            | ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1250]) ).

thf(1294,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( ~ ( midp @ SV409 @ SV85 @ SV179 )
            | ~ ( midp @ SV451 @ SV273 @ SV355 )
            | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1250]) ).

thf(1295,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( ~ ( midp @ SV409 @ SV85 @ SV179 ) )
        = $true )
      | ( ( ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV451 @ SV85 @ SV273 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1251]) ).

thf(1296,plain,
    ! [SV180: $i,SV356: $i,SV274: $i,SV86: $i] :
      ( ( ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
        = $false )
      | ( ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
        = $false )
      | ( ( coll @ SV180 @ SV86 @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1252]) ).

thf(1297,plain,
    ! [SV180: $i,SV356: $i,SV274: $i,SV86: $i] :
      ( ( ( eqangle @ SV86 @ SV274 @ SV274 @ SV356 @ SV274 @ SV356 @ SV274 @ SV180 )
        = $false )
      | ( ( cong @ SV274 @ SV86 @ SV274 @ SV180 )
        = $false )
      | ( ( coll @ ( sK27_M @ SV356 @ SV274 @ SV180 @ SV86 ) @ SV274 @ SV356 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1253]) ).

thf(1298,plain,
    ! [SV181: $i,SV87: $i,SV357: $i,SV275: $i] :
      ( ( ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
        = $false )
      | ( ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
        = $false )
      | ( ( coll @ SV181 @ SV87 @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1254]) ).

thf(1299,plain,
    ! [SV181: $i,SV87: $i,SV357: $i,SV275: $i] :
      ( ( ( perp @ SV275 @ SV357 @ SV87 @ SV181 )
        = $false )
      | ( ( cong @ SV275 @ SV87 @ SV275 @ SV181 )
        = $false )
      | ( ( coll @ ( sK25_M @ SV357 @ SV275 @ SV181 @ SV87 ) @ SV275 @ SV357 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1255]) ).

thf(1300,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( ~ ( midp @ SV452 @ SV88 @ SV182 )
          | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
          | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1256]) ).

thf(1301,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( ~ ( midp @ SV452 @ SV88 @ SV182 )
          | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 )
          | ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1257]) ).

thf(1302,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ~ ( ~ ( ( SV411 = SV453 )
                  | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                  | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                  | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
              | ~ ( ( SV411 = SV453 )
                  | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                  | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                  | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                  | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1258]) ).

thf(1303,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ( ( SV411 = SV453 )
            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
            | ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1258]) ).

thf(1304,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( SV411 = SV453 )
        = $true )
      | ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
          | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1259]) ).

thf(1305,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
        = $false )
      | ( ( coll @ SV90 @ SV184 @ SV278 )
        = $true )
      | ( ( cyclic @ SV360 @ SV184 @ SV278 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1260]) ).

thf(1306,plain,
    ! [SV412: $i,SV360: $i,SV184: $i,SV278: $i,SV90: $i] :
      ( ( ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ SV360 @ SV184 @ SV412 )
        = $false )
      | ( ( coll @ SV90 @ SV184 @ SV278 )
        = $true )
      | ( ( eqangle @ SV90 @ SV278 @ SV184 @ SV278 @ SV90 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) @ SV184 @ ( sK24_Q @ SV412 @ SV360 @ SV278 @ SV184 @ SV90 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1261]) ).

thf(1307,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ( coll @ SV185 @ SV361 @ SV413 )
        = $false )
      | ( ( ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 ) )
        = $true )
      | ( ( coll @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SV413 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1262]) ).

thf(1308,plain,
    ! [SV279: $i,SV91: $i,SV413: $i,SV361: $i,SV185: $i] :
      ( ( ( coll @ SV185 @ SV361 @ SV413 )
        = $false )
      | ( ( ~ ( perp @ SV91 @ SV279 @ SV279 @ SV185 ) )
        = $true )
      | ( ( perp @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SV413 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1263]) ).

thf(1309,plain,
    ! [SV362: $i,SV92: $i,SV186: $i,SV280: $i] :
      ( ( ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
        = $false )
      | ( ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
        = $false )
      | ( ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV92 @ SV186 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1264]) ).

thf(1310,plain,
    ! [SV362: $i,SV92: $i,SV186: $i,SV280: $i] :
      ( ( ( perp @ SV280 @ SV186 @ SV186 @ SV92 )
        = $false )
      | ( ( eqangle @ SV362 @ SV280 @ SV186 @ SV280 @ SV186 @ SV280 @ SV92 @ SV280 )
        = $false )
      | ( ( coll @ ( sK28_B @ SV362 @ SV280 @ SV186 @ SV92 ) @ SV280 @ SV362 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1265]) ).

thf(1311,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
        | ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1266]) ).

thf(1312,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
        | ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1267]) ).

thf(1313,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        = $false )
      | ( ( ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1268]) ).

thf(1314,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
            | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
        | ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
            | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1269]) ).

thf(1315,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
          | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1270]) ).

thf(1316,plain,
    ! [SV282: $i,SV94: $i,SV364: $i,SV188: $i] :
      ( ( ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
        = $false )
      | ( ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        = $false )
      | ( ( perp @ SV188 @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1271]) ).

thf(1317,plain,
    ! [SV498: $i,SV497: $i,SV493: $i,SV486: $i,SV474: $i,SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 )
        | ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SV486 @ SV493 @ SV497 @ SV498 )
        | ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV486 @ SV493 @ SV497 @ SV498 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1273]) ).

thf(1318,plain,
    ! [SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV499: $i,SV494: $i,SV487: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ( ! [SY1801: $i] :
              ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV487 @ SV494 @ SV499 @ SY1801 )
              | ~ ( eqratio @ SV487 @ SV494 @ SV499 @ SY1801 @ SV379 @ SV429 @ SV463 @ SV479 ) ) )
        = $true )
      | ( ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1274]) ).

thf(1319,plain,
    ! [SV488: $i,SV480: $i,SV464: $i,SV433: $i,SV383: $i,SV313: $i,SV222: $i,SV128: $i,SV34: $i] :
      ( ( ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SV433 )
        = $false )
      | ( ( ~ ( simtri @ SV313 @ SV383 @ SV433 @ SV464 @ SV480 @ SV488 ) )
        = $true )
      | ( ( simtri @ SV34 @ SV128 @ SV222 @ SV464 @ SV480 @ SV488 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1275]) ).

thf(1320,plain,
    ! [SV489: $i,SV481: $i,SV465: $i,SV437: $i,SV387: $i,SV317: $i,SV226: $i,SV132: $i,SV38: $i] :
      ( ( ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SV437 )
        = $false )
      | ( ( ~ ( contri @ SV317 @ SV387 @ SV437 @ SV465 @ SV481 @ SV489 ) )
        = $true )
      | ( ( contri @ SV38 @ SV132 @ SV226 @ SV465 @ SV481 @ SV489 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1276]) ).

thf(1321,plain,
    ! [SV468: $i,SV323: $i,SV388: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 )
        = $false )
      | ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
        = $false )
      | ( ( ~ ( cyclic @ SV44 @ SV138 @ SV232 @ SV468 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SV468 @ SV323 @ SV468 @ SV388 ) )
        = $true )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1277]) ).

thf(1322,plain,
    ! [SV346: $i,SV262: $i,SV168: $i,SV74: $i,SV490: $i,SV483: $i,SV445: $i,SV404: $i] :
      ( ( ( para @ SV404 @ SV445 @ SV483 @ SV490 )
        = $false )
      | ( ( eqangle @ SV74 @ SV168 @ SV262 @ SV346 @ SV404 @ SV445 @ SV483 @ SV490 )
        = $false )
      | ( ( para @ SV74 @ SV168 @ SV262 @ SV346 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1283]) ).

thf(1323,plain,
    ! [SV347: $i,SV263: $i,SV169: $i,SV75: $i,SV491: $i,SV484: $i,SV446: $i,SV405: $i] :
      ( ( ( perp @ SV405 @ SV446 @ SV484 @ SV491 )
        = $false )
      | ( ( eqangle @ SV75 @ SV169 @ SV263 @ SV347 @ SV405 @ SV446 @ SV484 @ SV491 )
        = $false )
      | ( ( perp @ SV75 @ SV169 @ SV263 @ SV347 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1284]) ).

thf(1324,plain,
    ! [SV492: $i,SV485: $i,SV447: $i,SV406: $i,SV348: $i,SV264: $i,SV170: $i,SV76: $i] :
      ( ( ( eqratio @ SV76 @ SV170 @ SV264 @ SV348 @ SV406 @ SV447 @ SV485 @ SV492 )
        = $false )
      | ( ( cong @ SV406 @ SV447 @ SV485 @ SV492 )
        = $false )
      | ( ( cong @ SV76 @ SV170 @ SV264 @ SV348 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1285]) ).

thf(1325,plain,
    ! [SV171: $i,SV77: $i,SV407: $i,SV349: $i,SV265: $i,SV448: $i] :
      ( ( ( midp @ SV448 @ SV265 @ SV349 )
        = $false )
      | ( ( midp @ SV407 @ SV77 @ SV171 )
        = $false )
      | ( ( ~ ( coll @ SV265 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ~ ( coll @ SV349 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1286]) ).

thf(1326,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( ~ ( coll @ SV408 @ SV83 @ SV271 )
          | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1289]) ).

thf(1327,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( ~ ( coll @ SV408 @ SV83 @ SV271 )
          | ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1290]) ).

thf(1328,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( midp @ SV409 @ SV85 @ SV179 )
        | ~ ( midp @ SV451 @ SV273 @ SV355 )
        | ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1293]) ).

thf(1329,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ~ ( midp @ SV409 @ SV85 @ SV179 )
        | ~ ( midp @ SV451 @ SV273 @ SV355 )
        | ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1294]) ).

thf(1330,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( midp @ SV409 @ SV85 @ SV179 )
        = $false )
      | ( ( ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV451 @ SV85 @ SV273 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1295]) ).

thf(1331,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( ~ ( midp @ SV452 @ SV88 @ SV182 )
          | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 ) )
        = $true )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1300]) ).

thf(1332,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( ~ ( midp @ SV452 @ SV88 @ SV182 )
          | ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 ) )
        = $true )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1301]) ).

thf(1333,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ( ~ ( ( SV411 = SV453 )
                | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
            | ~ ( ( SV411 = SV453 )
                | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
                | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
                | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
                | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1302]) ).

thf(1334,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( SV411 = SV453 )
        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
        | ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1303]) ).

thf(1335,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1304]) ).

thf(1336,plain,
    ! [SV413: $i,SV361: $i,SV185: $i,SV279: $i,SV91: $i] :
      ( ( ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
        = $false )
      | ( ( coll @ SV185 @ SV361 @ SV413 )
        = $false )
      | ( ( coll @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV361 @ SV413 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1307]) ).

thf(1337,plain,
    ! [SV413: $i,SV361: $i,SV185: $i,SV279: $i,SV91: $i] :
      ( ( ( perp @ SV91 @ SV279 @ SV279 @ SV185 )
        = $false )
      | ( ( coll @ SV185 @ SV361 @ SV413 )
        = $false )
      | ( ( perp @ ( sK12_P @ SV413 @ SV361 @ SV279 @ SV185 @ SV91 ) @ SV91 @ SV361 @ SV413 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1308]) ).

thf(1338,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
          | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1311]) ).

thf(1339,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
          | ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1312]) ).

thf(1340,plain,
    ! [SV363: $i,SV281: $i,SV414: $i,SV187: $i,SV93: $i] :
      ( ( ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
        = $false )
      | ( ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        = $false )
      | ( ( cong @ SV187 @ SV281 @ SV187 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1313]) ).

thf(1341,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
            | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1314]) ).

thf(1342,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
            | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
            | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1314]) ).

thf(1343,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 ) )
        = $true )
      | ( ( ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1315]) ).

thf(1344,plain,
    ! [SV498: $i,SV497: $i,SV493: $i,SV486: $i,SV474: $i,SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 )
          | ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SV486 @ SV493 @ SV497 @ SV498 ) )
        = $true )
      | ( ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV486 @ SV493 @ SV497 @ SV498 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1317]) ).

thf(1345,plain,
    ! [SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV500: $i,SV499: $i,SV494: $i,SV487: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV487 @ SV494 @ SV499 @ SV500 )
          | ~ ( eqratio @ SV487 @ SV494 @ SV499 @ SV500 @ SV379 @ SV429 @ SV463 @ SV479 ) )
        = $true )
      | ( ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1318]) ).

thf(1346,plain,
    ! [SV222: $i,SV128: $i,SV34: $i,SV488: $i,SV480: $i,SV464: $i,SV433: $i,SV383: $i,SV313: $i] :
      ( ( ( simtri @ SV313 @ SV383 @ SV433 @ SV464 @ SV480 @ SV488 )
        = $false )
      | ( ( simtri @ SV34 @ SV128 @ SV222 @ SV313 @ SV383 @ SV433 )
        = $false )
      | ( ( simtri @ SV34 @ SV128 @ SV222 @ SV464 @ SV480 @ SV488 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1319]) ).

thf(1347,plain,
    ! [SV226: $i,SV132: $i,SV38: $i,SV489: $i,SV481: $i,SV465: $i,SV437: $i,SV387: $i,SV317: $i] :
      ( ( ( contri @ SV317 @ SV387 @ SV437 @ SV465 @ SV481 @ SV489 )
        = $false )
      | ( ( contri @ SV38 @ SV132 @ SV226 @ SV317 @ SV387 @ SV437 )
        = $false )
      | ( ( contri @ SV38 @ SV132 @ SV226 @ SV465 @ SV481 @ SV489 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1320]) ).

thf(1348,plain,
    ! [SV388: $i,SV323: $i,SV468: $i,SV232: $i,SV138: $i,SV44: $i] :
      ( ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV468 )
        = $false )
      | ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
        = $false )
      | ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 )
        = $false )
      | ( ( ~ ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SV468 @ SV323 @ SV468 @ SV388 ) )
        = $true )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1321]) ).

thf(1349,plain,
    ! [SV349: $i,SV448: $i,SV407: $i,SV171: $i,SV77: $i,SV265: $i] :
      ( ( ( coll @ SV265 @ SV77 @ SV171 )
        = $false )
      | ( ( midp @ SV407 @ SV77 @ SV171 )
        = $false )
      | ( ( midp @ SV448 @ SV265 @ SV349 )
        = $false )
      | ( ( ~ ( coll @ SV349 @ SV77 @ SV171 ) )
        = $true )
      | ( ( ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1325]) ).

thf(1350,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( ~ ( coll @ SV408 @ SV83 @ SV271 ) )
        = $true )
      | ( ( ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1326]) ).

thf(1351,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( ~ ( coll @ SV408 @ SV83 @ SV271 ) )
        = $true )
      | ( ( ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1327]) ).

thf(1352,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( ~ ( midp @ SV409 @ SV85 @ SV179 )
          | ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1328]) ).

thf(1353,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( ~ ( midp @ SV409 @ SV85 @ SV179 )
          | ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1329]) ).

thf(1354,plain,
    ! [SV179: $i,SV85: $i,SV409: $i,SV355: $i,SV273: $i,SV451: $i] :
      ( ( ( midp @ SV451 @ SV273 @ SV355 )
        = $false )
      | ( ( midp @ SV409 @ SV85 @ SV179 )
        = $false )
      | ( ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV451 @ SV85 @ SV273 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1330]) ).

thf(1355,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( ~ ( midp @ SV452 @ SV88 @ SV182 ) )
        = $true )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 ) )
        = $true )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1331]) ).

thf(1356,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( ~ ( midp @ SV452 @ SV88 @ SV182 ) )
        = $true )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 ) )
        = $true )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1332]) ).

thf(1357,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ( ( SV411 = SV453 )
            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
            | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
        | ~ ( ( SV411 = SV453 )
            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
            | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[1333]) ).

thf(1358,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( ( SV411 = SV453 )
          | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
          | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1334]) ).

thf(1359,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 ) )
        = $true )
      | ( ( ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1335]) ).

thf(1360,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 ) )
        = $true )
      | ( ( ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1338]) ).

thf(1361,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( ~ ( cong @ SV414 @ SV281 @ SV414 @ SV363 ) )
        = $true )
      | ( ( ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1339]) ).

thf(1362,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
        | ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1341]) ).

thf(1363,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
        | ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1342]) ).

thf(1364,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        = $false )
      | ( ( ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1343]) ).

thf(1365,plain,
    ! [SV498: $i,SV497: $i,SV493: $i,SV486: $i,SV474: $i,SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ( ~ ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 ) )
        = $true )
      | ( ( ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SV486 @ SV493 @ SV497 @ SV498 ) )
        = $true )
      | ( ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV486 @ SV493 @ SV497 @ SV498 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1344]) ).

thf(1366,plain,
    ! [SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV500: $i,SV499: $i,SV494: $i,SV487: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ( ~ ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV487 @ SV494 @ SV499 @ SV500 ) )
        = $true )
      | ( ( ~ ( eqratio @ SV487 @ SV494 @ SV499 @ SV500 @ SV379 @ SV429 @ SV463 @ SV479 ) )
        = $true )
      | ( ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1345]) ).

thf(1367,plain,
    ! [SV388: $i,SV323: $i,SV468: $i,SV138: $i,SV44: $i,SV232: $i] :
      ( ( ( eqangle @ SV232 @ SV44 @ SV232 @ SV138 @ SV468 @ SV323 @ SV468 @ SV388 )
        = $false )
      | ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV388 )
        = $false )
      | ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV323 )
        = $false )
      | ( ( cyclic @ SV44 @ SV138 @ SV232 @ SV468 )
        = $false )
      | ( ( cong @ SV44 @ SV138 @ SV323 @ SV388 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1348]) ).

thf(1368,plain,
    ! [SV407: $i,SV265: $i,SV448: $i,SV171: $i,SV77: $i,SV349: $i] :
      ( ( ( coll @ SV349 @ SV77 @ SV171 )
        = $false )
      | ( ( midp @ SV448 @ SV265 @ SV349 )
        = $false )
      | ( ( midp @ SV407 @ SV77 @ SV171 )
        = $false )
      | ( ( coll @ SV265 @ SV77 @ SV171 )
        = $false )
      | ( ( ! [SY1753: $i] : ( midp @ ( sK22_P @ SY1753 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SY1753 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1349]) ).

thf(1369,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( coll @ SV408 @ SV83 @ SV271 )
        = $false )
      | ( ( ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1350]) ).

thf(1370,plain,
    ! [SV450: $i,SV353: $i,SV177: $i,SV271: $i,SV83: $i,SV408: $i] :
      ( ( ( coll @ SV408 @ SV83 @ SV271 )
        = $false )
      | ( ( ~ ( para @ SV83 @ SV177 @ SV271 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1351]) ).

thf(1371,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( ~ ( midp @ SV409 @ SV85 @ SV179 ) )
        = $true )
      | ( ( ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1352]) ).

thf(1372,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( ~ ( midp @ SV409 @ SV85 @ SV179 ) )
        = $true )
      | ( ( ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1353]) ).

thf(1373,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( midp @ SV452 @ SV88 @ SV182 )
        = $false )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 ) )
        = $true )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1355]) ).

thf(1374,plain,
    ! [SV358: $i,SV410: $i,SV276: $i,SV182: $i,SV88: $i,SV452: $i] :
      ( ( ( midp @ SV452 @ SV88 @ SV182 )
        = $false )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV410 @ SV452 ) )
        = $true )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1356]) ).

thf(1375,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ( ( SV411 = SV453 )
            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
            | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1357]) ).

thf(1376,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ~ ( ( SV411 = SV453 )
            | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
            | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
            | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
            | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[1357]) ).

thf(1377,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( SV411 = SV453 )
        = $true )
      | ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
          | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1358]) ).

thf(1378,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1359]) ).

thf(1379,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        = $false )
      | ( ( ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1360]) ).

thf(1380,plain,
    ! [SV187: $i,SV93: $i,SV363: $i,SV281: $i,SV414: $i] :
      ( ( ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        = $false )
      | ( ( ~ ( perp @ SV93 @ SV187 @ SV187 @ SV414 ) )
        = $true )
      | ( ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1361]) ).

thf(1381,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
          | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1362]) ).

thf(1382,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
          | ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1363]) ).

thf(1383,plain,
    ! [SV282: $i,SV94: $i,SV364: $i,SV188: $i] :
      ( ( ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
        = $false )
      | ( ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        = $false )
      | ( ( coll @ ( sK19_SY559 @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV94 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1364]) ).

thf(1384,plain,
    ! [SV498: $i,SV497: $i,SV493: $i,SV486: $i,SV474: $i,SV458: $i,SV423: $i,SV373: $i,SV301: $i,SV210: $i,SV116: $i,SV22: $i] :
      ( ( ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 )
        = $false )
      | ( ( ~ ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SV486 @ SV493 @ SV497 @ SV498 ) )
        = $true )
      | ( ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV486 @ SV493 @ SV497 @ SV498 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1365]) ).

thf(1385,plain,
    ! [SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV500: $i,SV499: $i,SV494: $i,SV487: $i,SV309: $i,SV218: $i,SV124: $i,SV30: $i] :
      ( ( ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV487 @ SV494 @ SV499 @ SV500 )
        = $false )
      | ( ( ~ ( eqratio @ SV487 @ SV494 @ SV499 @ SV500 @ SV379 @ SV429 @ SV463 @ SV479 ) )
        = $true )
      | ( ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1366]) ).

thf(1386,plain,
    ! [SV77: $i,SV171: $i,SV265: $i,SV349: $i,SV407: $i,SV448: $i,SV501: $i] :
      ( ( ( midp @ ( sK22_P @ SV501 @ SV448 @ SV407 @ SV349 @ SV265 @ SV171 @ SV77 ) @ SV77 @ SV501 )
        = $true )
      | ( ( coll @ SV265 @ SV77 @ SV171 )
        = $false )
      | ( ( midp @ SV407 @ SV77 @ SV171 )
        = $false )
      | ( ( midp @ SV448 @ SV265 @ SV349 )
        = $false )
      | ( ( coll @ SV349 @ SV77 @ SV171 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1368]) ).

thf(1387,plain,
    ! [SV450: $i,SV408: $i,SV353: $i,SV271: $i,SV177: $i,SV83: $i] :
      ( ( ( para @ SV83 @ SV177 @ SV271 @ SV353 )
        = $false )
      | ( ( coll @ SV408 @ SV83 @ SV271 )
        = $false )
      | ( ( ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1369]) ).

thf(1388,plain,
    ! [SV450: $i,SV408: $i,SV353: $i,SV271: $i,SV177: $i,SV83: $i] :
      ( ( ( para @ SV83 @ SV177 @ SV271 @ SV353 )
        = $false )
      | ( ( coll @ SV408 @ SV83 @ SV271 )
        = $false )
      | ( ( ~ ( coll @ SV408 @ SV177 @ SV353 ) )
        = $true )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1370]) ).

thf(1389,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( midp @ SV409 @ SV85 @ SV179 )
        = $false )
      | ( ( ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1371]) ).

thf(1390,plain,
    ! [SV355: $i,SV273: $i,SV451: $i,SV179: $i,SV85: $i,SV409: $i] :
      ( ( ( midp @ SV409 @ SV85 @ SV179 )
        = $false )
      | ( ( ~ ( midp @ SV451 @ SV273 @ SV355 ) )
        = $true )
      | ( ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1372]) ).

thf(1391,plain,
    ! [SV358: $i,SV182: $i,SV452: $i,SV410: $i,SV276: $i,SV88: $i] :
      ( ( ( para @ SV88 @ SV276 @ SV410 @ SV452 )
        = $false )
      | ( ( midp @ SV452 @ SV88 @ SV182 )
        = $false )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1373]) ).

thf(1392,plain,
    ! [SV358: $i,SV182: $i,SV452: $i,SV410: $i,SV276: $i,SV88: $i] :
      ( ( ( para @ SV88 @ SV276 @ SV410 @ SV452 )
        = $false )
      | ( ( midp @ SV452 @ SV88 @ SV182 )
        = $false )
      | ( ( ~ ( para @ SV88 @ SV276 @ SV182 @ SV358 ) )
        = $true )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1374]) ).

thf(1393,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( SV411 = SV453 )
        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
        | ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1375]) ).

thf(1394,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( SV411 = SV453 )
        | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
        | ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[1376]) ).

thf(1395,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1377]) ).

thf(1396,plain,
    ! [SV453: $i,SV277: $i,SV183: $i,SV359: $i,SV89: $i,SV411: $i] :
      ( ( ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        = $false )
      | ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1378]) ).

thf(1397,plain,
    ! [SV363: $i,SV281: $i,SV414: $i,SV187: $i,SV93: $i] :
      ( ( ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
        = $false )
      | ( ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        = $false )
      | ( ( cong @ SV414 @ SV281 @ SV414 @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1379]) ).

thf(1398,plain,
    ! [SV363: $i,SV281: $i,SV414: $i,SV187: $i,SV93: $i] :
      ( ( ( perp @ SV93 @ SV187 @ SV187 @ SV414 )
        = $false )
      | ( ( cong @ SV414 @ SV281 @ SV414 @ SV363 )
        = $false )
      | ( ( para @ ( sK20_P @ SV414 @ SV363 @ SV281 @ SV187 @ SV93 ) @ SV281 @ SV93 @ SV187 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1380]) ).

thf(1399,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 ) )
        = $true )
      | ( ( ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1381]) ).

thf(1400,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( ~ ( perp @ SV94 @ SV364 @ SV188 @ SV282 ) )
        = $true )
      | ( ( ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1382]) ).

thf(1401,plain,
    ! [SV301: $i,SV210: $i,SV116: $i,SV22: $i,SV498: $i,SV497: $i,SV493: $i,SV486: $i,SV474: $i,SV458: $i,SV423: $i,SV373: $i] :
      ( ( ( eqangle @ SV373 @ SV423 @ SV458 @ SV474 @ SV486 @ SV493 @ SV497 @ SV498 )
        = $false )
      | ( ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV373 @ SV423 @ SV458 @ SV474 )
        = $false )
      | ( ( eqangle @ SV22 @ SV116 @ SV210 @ SV301 @ SV486 @ SV493 @ SV497 @ SV498 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1384]) ).

thf(1402,plain,
    ! [SV309: $i,SV218: $i,SV124: $i,SV30: $i,SV479: $i,SV463: $i,SV429: $i,SV379: $i,SV500: $i,SV499: $i,SV494: $i,SV487: $i] :
      ( ( ( eqratio @ SV487 @ SV494 @ SV499 @ SV500 @ SV379 @ SV429 @ SV463 @ SV479 )
        = $false )
      | ( ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV487 @ SV494 @ SV499 @ SV500 )
        = $false )
      | ( ( eqratio @ SV30 @ SV124 @ SV218 @ SV309 @ SV379 @ SV429 @ SV463 @ SV479 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1385]) ).

thf(1403,plain,
    ! [SV450: $i,SV271: $i,SV83: $i,SV353: $i,SV177: $i,SV408: $i] :
      ( ( ( coll @ SV408 @ SV177 @ SV353 )
        = $false )
      | ( ( coll @ SV408 @ SV83 @ SV271 )
        = $false )
      | ( ( para @ SV83 @ SV177 @ SV271 @ SV353 )
        = $false )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1387]) ).

thf(1404,plain,
    ! [SV450: $i,SV271: $i,SV83: $i,SV353: $i,SV177: $i,SV408: $i] :
      ( ( ( coll @ SV408 @ SV177 @ SV353 )
        = $false )
      | ( ( coll @ SV408 @ SV83 @ SV271 )
        = $false )
      | ( ( para @ SV83 @ SV177 @ SV271 @ SV353 )
        = $false )
      | ( ( ~ ( coll @ SV450 @ SV83 @ SV177 ) )
        = $true )
      | ( ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1388]) ).

thf(1405,plain,
    ! [SV179: $i,SV85: $i,SV409: $i,SV355: $i,SV273: $i,SV451: $i] :
      ( ( ( midp @ SV451 @ SV273 @ SV355 )
        = $false )
      | ( ( midp @ SV409 @ SV85 @ SV179 )
        = $false )
      | ( ( midp @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV85 @ SV355 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1389]) ).

thf(1406,plain,
    ! [SV179: $i,SV85: $i,SV409: $i,SV355: $i,SV273: $i,SV451: $i] :
      ( ( ( midp @ SV451 @ SV273 @ SV355 )
        = $false )
      | ( ( midp @ SV409 @ SV85 @ SV179 )
        = $false )
      | ( ( para @ ( sK23_P @ SV451 @ SV409 @ SV355 @ SV273 @ SV179 @ SV85 ) @ SV409 @ SV179 @ SV355 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1390]) ).

thf(1407,plain,
    ! [SV410: $i,SV452: $i,SV358: $i,SV182: $i,SV276: $i,SV88: $i] :
      ( ( ( para @ SV88 @ SV276 @ SV182 @ SV358 )
        = $false )
      | ( ( midp @ SV452 @ SV88 @ SV182 )
        = $false )
      | ( ( para @ SV88 @ SV276 @ SV410 @ SV452 )
        = $false )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1391]) ).

thf(1408,plain,
    ! [SV410: $i,SV452: $i,SV358: $i,SV182: $i,SV276: $i,SV88: $i] :
      ( ( ( para @ SV88 @ SV276 @ SV182 @ SV358 )
        = $false )
      | ( ( midp @ SV452 @ SV88 @ SV182 )
        = $false )
      | ( ( para @ SV88 @ SV276 @ SV410 @ SV452 )
        = $false )
      | ( ( ~ ( coll @ SV276 @ SV358 @ SV410 ) )
        = $true )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1392]) ).

thf(1409,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( ( SV411 = SV453 )
          | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
          | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1393]) ).

thf(1410,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( ( SV411 = SV453 )
          | ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
          | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1394]) ).

thf(1411,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 ) )
        = $true )
      | ( ( ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1395]) ).

thf(1412,plain,
    ! [SV359: $i,SV277: $i,SV411: $i,SV183: $i,SV89: $i,SV453: $i] :
      ( ( ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
        = $false )
      | ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        = $false )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1396]) ).

thf(1413,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        = $false )
      | ( ( ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1399]) ).

thf(1414,plain,
    ! [SV282: $i,SV188: $i,SV364: $i,SV94: $i] :
      ( ( ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        = $false )
      | ( ( ~ ( perp @ SV188 @ SV364 @ SV94 @ SV282 ) )
        = $true )
      | ( ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1400]) ).

thf(1415,plain,
    ! [SV408: $i,SV353: $i,SV271: $i,SV177: $i,SV83: $i,SV450: $i] :
      ( ( ( coll @ SV450 @ SV83 @ SV177 )
        = $false )
      | ( ( para @ SV83 @ SV177 @ SV271 @ SV353 )
        = $false )
      | ( ( coll @ SV408 @ SV83 @ SV271 )
        = $false )
      | ( ( coll @ SV408 @ SV177 @ SV353 )
        = $false )
      | ( ( coll @ SV408 @ SV450 @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1403]) ).

thf(1416,plain,
    ! [SV408: $i,SV353: $i,SV271: $i,SV177: $i,SV83: $i,SV450: $i] :
      ( ( ( coll @ SV450 @ SV83 @ SV177 )
        = $false )
      | ( ( para @ SV83 @ SV177 @ SV271 @ SV353 )
        = $false )
      | ( ( coll @ SV408 @ SV83 @ SV271 )
        = $false )
      | ( ( coll @ SV408 @ SV177 @ SV353 )
        = $false )
      | ( ( coll @ ( sK9_R @ SV450 @ SV408 @ SV353 @ SV271 @ SV177 @ SV83 ) @ SV271 @ SV353 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1404]) ).

thf(1417,plain,
    ! [SV182: $i,SV452: $i,SV88: $i,SV410: $i,SV358: $i,SV276: $i] :
      ( ( ( coll @ SV276 @ SV358 @ SV410 )
        = $false )
      | ( ( para @ SV88 @ SV276 @ SV410 @ SV452 )
        = $false )
      | ( ( midp @ SV452 @ SV88 @ SV182 )
        = $false )
      | ( ( para @ SV88 @ SV276 @ SV182 @ SV358 )
        = $false )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV88 @ SV358 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1407]) ).

thf(1418,plain,
    ! [SV182: $i,SV452: $i,SV88: $i,SV410: $i,SV358: $i,SV276: $i] :
      ( ( ( coll @ SV276 @ SV358 @ SV410 )
        = $false )
      | ( ( para @ SV88 @ SV276 @ SV410 @ SV452 )
        = $false )
      | ( ( midp @ SV452 @ SV88 @ SV182 )
        = $false )
      | ( ( para @ SV88 @ SV276 @ SV182 @ SV358 )
        = $false )
      | ( ( coll @ ( sK21_X @ SV452 @ SV410 @ SV358 @ SV276 @ SV182 @ SV88 ) @ SV452 @ SV410 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1408]) ).

thf(1419,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( SV411 = SV453 )
        = $true )
      | ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
          | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1409]) ).

thf(1420,plain,
    ! [SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV453: $i,SV411: $i] :
      ( ( ( SV411 = SV453 )
        = $true )
      | ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
          | ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1410]) ).

thf(1421,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1411]) ).

thf(1422,plain,
    ! [SV282: $i,SV94: $i,SV364: $i,SV188: $i] :
      ( ( ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
        = $false )
      | ( ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        = $false )
      | ( ( coll @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1413]) ).

thf(1423,plain,
    ! [SV282: $i,SV94: $i,SV364: $i,SV188: $i] :
      ( ( ( perp @ SV188 @ SV364 @ SV94 @ SV282 )
        = $false )
      | ( ( perp @ SV94 @ SV364 @ SV188 @ SV282 )
        = $false )
      | ( ( perp @ SV94 @ ( sK18_P @ SV364 @ SV282 @ SV188 @ SV94 ) @ SV282 @ SV188 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1414]) ).

thf(1424,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1419]) ).

thf(1425,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
          | ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1420]) ).

thf(1426,plain,
    ! [SV453: $i,SV277: $i,SV183: $i,SV359: $i,SV89: $i,SV411: $i] :
      ( ( ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        = $false )
      | ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1421]) ).

thf(1427,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 ) )
        = $true )
      | ( ( ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1424]) ).

thf(1428,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( ~ ( circle @ SV411 @ SV89 @ SV183 @ SV277 ) )
        = $true )
      | ( ( ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1425]) ).

thf(1429,plain,
    ! [SV359: $i,SV277: $i,SV411: $i,SV183: $i,SV89: $i,SV453: $i] :
      ( ( ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
        = $false )
      | ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        = $false )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK16_SY558 @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV183 @ SV359 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1426]) ).

thf(1430,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1427]) ).

thf(1431,plain,
    ! [SV453: $i,SV359: $i,SV277: $i,SV183: $i,SV89: $i,SV411: $i] :
      ( ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( ~ ( cong @ SV411 @ SV89 @ SV411 @ SV359 ) )
        = $true )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1428]) ).

thf(1432,plain,
    ! [SV453: $i,SV277: $i,SV183: $i,SV359: $i,SV89: $i,SV411: $i] :
      ( ( ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        = $false )
      | ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1430]) ).

thf(1433,plain,
    ! [SV453: $i,SV277: $i,SV183: $i,SV359: $i,SV89: $i,SV411: $i] :
      ( ( ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        = $false )
      | ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( ~ ( cong @ SV453 @ SV89 @ SV453 @ SV183 ) )
        = $true )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1431]) ).

thf(1434,plain,
    ! [SV359: $i,SV277: $i,SV411: $i,SV183: $i,SV89: $i,SV453: $i] :
      ( ( ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
        = $false )
      | ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        = $false )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( coll @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV89 @ SV277 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1432]) ).

thf(1435,plain,
    ! [SV359: $i,SV277: $i,SV411: $i,SV183: $i,SV89: $i,SV453: $i] :
      ( ( ( cong @ SV453 @ SV89 @ SV453 @ SV183 )
        = $false )
      | ( ( circle @ SV411 @ SV89 @ SV183 @ SV277 )
        = $false )
      | ( ( cong @ SV411 @ SV89 @ SV411 @ SV359 )
        = $false )
      | ( ( SV411 = SV453 )
        = $true )
      | ( ( cong @ ( sK15_P @ SV453 @ SV411 @ SV359 @ SV277 @ SV183 @ SV89 ) @ SV453 @ SV453 @ SV89 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1433]) ).

thf(1436,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[395,1435,1434,1429,1423,1422,1418,1417,1416,1415,1412,1406,1405,1402,1401,1398,1397,1386,1383,1367,1354,1347,1346,1340,1337,1336,1324,1323,1322,1316,1310,1309,1306,1305,1299,1298,1297,1296,1292,1291,1288,1287,1282,1281,1280,1279,1278,1272,1245,1244,1237,1234,1232,1225,1224,1223,1222,1221,1219,1218,1217,1216,1214,1213,1212,1175,1170,1169,1168,1166,1151,1119,1109,1107,1106,1103,1102,1101,1100,1099,1091,1090,1089,1087,1086,1085,1083,1082,1081,1067,1063,1033,1032,1030,1007,956,929,923,906,905,898,897,896,891,890,888,887,860,859,857,837,801,792,791,495,399,398,397,396]) ).

thf(1437,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1436]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 10:46:59 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.43  ..
% 0.71/0.94  
% 0.71/0.94   No.of.Axioms: 94
% 0.71/0.94  
% 0.71/0.94   Length.of.Defs: 0
% 0.71/0.94  
% 0.71/0.94   Contains.Choice.Funs: false
% 0.81/0.98  ..
% 1.19/1.35  (rf:0,axioms:94,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:96,loop_count:0,foatp_calls:0,translation:fof_full).............................................................................................................
% 9.87/10.08  
% 9.87/10.08  ********************************
% 9.87/10.08  *   All subproblems solved!    *
% 9.87/10.08  ********************************
% 9.87/10.08  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:99,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:71,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1436,loop_count:0,foatp_calls:1,translation:fof_full)
% 10.63/10.88  
% 10.63/10.88  %**** Beginning of derivation protocol ****
% 10.63/10.88  % SZS output start CNFRefutation
% See solution above
% 10.72/10.88  
% 10.72/10.88  %**** End of derivation protocol ****
% 10.72/10.88  %**** no. of clauses in derivation: 1437 ****
% 10.72/10.88  %**** clause counter: 1436 ****
% 10.72/10.88  
% 10.72/10.88  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:99,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:71,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1436,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------