TSTP Solution File: GEO344+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO344+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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  : 0s
% DateTime : Sat Jul 16 02:53:48 EDT 2022

% Result   : Unknown 1.76s 2.11s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO344+1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : bliksem %s
% 0.16/0.37  % Computer : n020.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % DateTime : Sat Jun 18 15:56:48 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.84/1.41  *** allocated 10000 integers for termspace/termends
% 0.84/1.41  *** allocated 10000 integers for clauses
% 0.84/1.41  *** allocated 10000 integers for justifications
% 0.84/1.41  Bliksem 1.12
% 0.84/1.41  
% 0.84/1.41  
% 0.84/1.41  Automatic Strategy Selection
% 0.84/1.41  
% 0.84/1.41  *** allocated 15000 integers for termspace/termends
% 0.84/1.41  *** allocated 22500 integers for termspace/termends
% 0.84/1.41  *** allocated 33750 integers for termspace/termends
% 0.84/1.41  *** allocated 50625 integers for termspace/termends
% 0.84/1.41  
% 0.84/1.41  Clauses:
% 0.84/1.41  
% 0.84/1.41  { ron( vd1409, skol1 ) }.
% 0.84/1.41  { ron( vd1401, skol1 ) }.
% 0.84/1.41  { rline( skol1 ) }.
% 0.84/1.41  { ! skol1 = vd1419 }.
% 0.84/1.41  { ron( vd1409, vd1419 ) }.
% 0.84/1.41  { ron( vd1401, vd1419 ) }.
% 0.84/1.41  { rline( vd1419 ) }.
% 0.84/1.41  { vd1415 = vskolem1416 }.
% 0.84/1.41  { ! ron( vd1399, X ), ! ron( vd1401, X ), ! rline( X ), X = vskolem1416 }.
% 0.84/1.41  { ron( vd1399, vskolem1416 ) }.
% 0.84/1.41  { ron( vd1401, vskolem1416 ) }.
% 0.84/1.41  { rline( vskolem1416 ) }.
% 0.84/1.41  { ! vd1409 = vd1401 }.
% 0.84/1.41  { rpoint( vd1409 ) }.
% 0.84/1.41  { vd1406 = vd1407 }.
% 0.84/1.41  { ron( vd1400, vd1406 ) }.
% 0.84/1.41  { ron( vd1399, vd1406 ) }.
% 0.84/1.41  { rline( vd1407 ) }.
% 0.84/1.41  { ! vd1400 = vd1401 }.
% 0.84/1.41  { ! vd1399 = vd1401 }.
% 0.84/1.41  { ! vd1399 = vd1400 }.
% 0.84/1.41  { vd1401 = skol2 }.
% 0.84/1.41  { rpoint( skol2 ) }.
% 0.84/1.41  { vd1400 = skol50 }.
% 0.84/1.41  { rpoint( skol50 ) }.
% 0.84/1.41  { vd1399 = skol55 }.
% 0.84/1.41  { rpoint( skol55 ) }.
% 0.84/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol3( U, W
% 0.84/1.41     ) ) }.
% 0.84/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol3( U, 
% 0.84/1.41    Y ) ) }.
% 0.84/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol3( X, 
% 0.84/1.41    Y ) ) }.
% 0.84/1.41  { vf( vd1400, vd1401 ) = vf( vd1400, vd1409 ) }.
% 0.84/1.41  { vf( vd1399, vd1401 ) = vf( vd1399, vd1409 ) }.
% 0.84/1.41  { rS( vd1401, vd1409, vd1406 ) }.
% 0.84/1.41  { vangle( vd1399, vd1401, vd1409 ) = vangle( vd1399, vd1409, vd1401 ) }.
% 0.84/1.41  { ! vangle( X, Y, Z ) = vangle( X, Z, Y ), Y = Z, X = Z, X = Y, ! Z = T, ! 
% 0.84/1.41    rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), vf( X, Y ) =
% 0.84/1.41     vf( X, Z ) }.
% 0.84/1.41  { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, ! 
% 0.84/1.41    rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.84/1.41     V1, ! rpoint( V1 ), X = Y }.
% 0.84/1.41  { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.84/1.41     Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V2, ! V1 = V3, ! rR
% 0.84/1.41    ( Z, X, V1 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V2 ), vangle( Z
% 0.84/1.41    , Y, V0 ) = vangle( Y, Z, V1 ) }.
% 0.84/1.41  { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.84/1.41     Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V1, ! V2 = V3, ! rR
% 0.84/1.41    ( Z, X, V2 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V1 ), vangle( X
% 0.84/1.41    , Y, Z ) = vangle( X, Z, Y ) }.
% 0.84/1.41  { ! X = Y, ! rcircle( Y ), rpoint( skol4( Z ) ) }.
% 0.84/1.41  { ! X = Y, ! rcircle( Y ), ! rinside( skol4( X ), X ) }.
% 0.84/1.41  { ! X = Y, ! rcircle( Y ), ! ron( skol4( X ), X ) }.
% 0.84/1.41  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.84/1.41     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.84/1.41    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.84/1.41    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus( 
% 0.84/1.41    vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.84/1.41  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.84/1.41     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.84/1.41    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.84/1.41    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus( 
% 0.84/1.41    vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.84/1.41  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.84/1.41     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.84/1.41    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.84/1.41    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T, 
% 0.84/1.41    W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.84/1.41    .
% 0.84/1.41  { rline( skol5( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.84/1.41    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint( 
% 0.84/1.41    V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.84/1.41     = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, ! 
% 0.84/1.41    rpoint( V8 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.84/1.41  { ron( T, skol5( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.84/1.41    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint( 
% 0.84/1.41    V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.84/1.41     = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, ! 
% 0.84/1.41    rpoint( V7 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.84/1.41  { alpha1( U, W, skol5( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.84/1.41    , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.84/1.41    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z, 
% 0.84/1.41    X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = 
% 0.84/1.41    V5, ! rpoint( V5 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.84/1.41  { ! alpha1( X, Y, Z ), ron( Y, Z ) }.
% 0.84/1.41  { ! alpha1( X, Y, Z ), ron( X, Z ) }.
% 0.84/1.41  { ! ron( Y, Z ), ! ron( X, Z ), alpha1( X, Y, Z ) }.
% 0.84/1.41  { rline( skol6( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.84/1.41    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint( 
% 0.84/1.41    V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.84/1.41     = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, ! 
% 0.84/1.41    rpoint( V8 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.84/1.41  { ron( T, skol6( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.84/1.41    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint( 
% 0.84/1.41    V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.84/1.41     = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, ! 
% 0.84/1.41    rpoint( V7 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.84/1.41  { alpha2( U, W, skol6( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.84/1.41    , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.84/1.41    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z, 
% 0.84/1.41    X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = 
% 0.84/1.41    V5, ! rpoint( V5 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.84/1.41  { ! alpha2( X, Y, Z ), ron( Y, Z ) }.
% 0.84/1.41  { ! alpha2( X, Y, Z ), ron( X, Z ) }.
% 0.84/1.41  { ! ron( Y, Z ), ! ron( X, Z ), alpha2( X, Y, Z ) }.
% 0.84/1.41  { rline( skol7( W, V0, V1 ) ), ! vangle( X, V2, Y ) = vangle( Z, U, T ), ! 
% 0.84/1.41    vf( V2, Y ) = vf( U, T ), ! vf( V2, X ) = vf( U, Z ), ! T = V3, ! rpoint
% 0.84/1.41    ( V3 ), ! Z = V4, ! rpoint( V4 ), ! U = V5, ! rpoint( V5 ), X = Y, V2 = Y
% 0.84/1.41    , V2 = X, ! Y = V6, ! rpoint( V6 ), ! X = V7, ! rpoint( V7 ), ! V2 = V8, 
% 0.84/1.41    ! rpoint( V8 ), vf( X, Y ) = vf( Z, T ) }.
% 0.84/1.41  { ron( U, skol7( W, V0, U ) ), ! vangle( X, V1, Y ) = vangle( Z, U, T ), ! 
% 0.84/1.41    vf( V1, Y ) = vf( U, T ), ! vf( V1, X ) = vf( U, Z ), ! T = V2, ! rpoint
% 0.84/1.41    ( V2 ), ! Z = V3, ! rpoint( V3 ), ! U = V4, ! rpoint( V4 ), X = Y, V1 = Y
% 0.84/1.41    , V1 = X, ! Y = V5, ! rpoint( V5 ), ! X = V6, ! rpoint( V6 ), ! V1 = V7, 
% 0.84/1.41    ! rpoint( V7 ), vf( X, Y ) = vf( Z, T ) }.
% 0.84/1.41  { alpha3( Z, T, skol7( Z, T, U ) ), ! vangle( X, W, Y ) = vangle( Z, U, T )
% 0.84/1.41    , ! vf( W, Y ) = vf( U, T ), ! vf( W, X ) = vf( U, Z ), ! T = V0, ! 
% 0.84/1.41    rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! U = V2, ! rpoint( V2 ), X = Y, 
% 0.84/1.41    W = Y, W = X, ! Y = V3, ! rpoint( V3 ), ! X = V4, ! rpoint( V4 ), ! W = 
% 0.84/1.41    V5, ! rpoint( V5 ), vf( X, Y ) = vf( Z, T ) }.
% 0.84/1.41  { ! alpha3( X, Y, Z ), ron( Y, Z ) }.
% 0.84/1.41  { ! alpha3( X, Y, Z ), ron( X, Z ) }.
% 0.84/1.41  { ! ron( Y, Z ), ! ron( X, Z ), alpha3( X, Y, Z ) }.
% 0.84/1.41  { ! X = Y, ! rcircle( Y ), rpoint( skol8( Z ) ) }.
% 0.84/1.41  { ! X = Y, ! rcircle( Y ), rinside( skol8( X ), X ) }.
% 0.84/1.41  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.84/1.41    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.84/1.41    Y ), vf( X, vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) = vf( U, V0 ) }.
% 0.84/1.41  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.84/1.41    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.84/1.41    Y ), rR( vskolem1120( X, Y, Z, T, U, W, V0, V1 ), X, Z ) }.
% 0.84/1.41  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.84/1.41    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.84/1.41    Y ), rpoint( vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) }.
% 0.84/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U 
% 0.84/1.41    = X, ! rpoint( W ), vf( X, Y ) = vf( U, vskolem1078( U, W, X, Y ) ) }.
% 0.84/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U 
% 0.84/1.41    = X, ! rpoint( W ), rpoint( vskolem1078( U, W, X, Y ) ) }.
% 0.84/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.84/1.41    U ), ! X = W, ! rcircle( W ), rpoint( skol9( V0, V1, V2 ) ) }.
% 0.84/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.84/1.41    U ), ! X = W, ! rcircle( W ), ron( skol9( X, V0, V1 ), X ) }.
% 0.84/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.84/1.41    U ), ! X = W, ! rcircle( W ), alpha4( Y, Z, skol9( X, Y, Z ) ) }.
% 0.84/1.41  { ! alpha4( X, Y, Z ), ! Z = Y }.
% 0.84/1.41  { ! alpha4( X, Y, Z ), ! Z = X }.
% 0.84/1.41  { Z = Y, Z = X, alpha4( X, Y, Z ) }.
% 0.84/1.41  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 0.84/1.41    ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 0.84/1.41  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 0.84/1.41    , vskolem1052( X, Y, Z, T ) ) }.
% 0.84/1.41  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint( 
% 0.84/1.41    vskolem1052( X, Y, Z, T ) ) }.
% 0.84/1.41  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.84/1.41    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.84/1.41    ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.84/1.41  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.84/1.41    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! 
% 0.84/1.41    vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.84/1.41  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.84/1.41    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! 
% 0.84/1.41    vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.84/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.84/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.84/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol10( V3, V4, V5, V6
% 0.84/1.41     ) ) }.
% 0.84/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.84/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.84/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol10( X, V3, V4, V5 ), X
% 0.84/1.41     ) }.
% 0.84/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.84/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.84/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha5( Y, Z, T, skol10( X, Y, 
% 0.84/1.41    Z, T ) ) }.
% 0.84/1.41  { ! alpha5( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.84/1.41  { ! alpha5( X, Y, Z, T ), ron( T, X ) }.
% 0.84/1.41  { rS( T, Z, Y ), ! ron( T, X ), alpha5( X, Y, Z, T ) }.
% 0.84/1.41  { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.84/1.41     = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ), 
% 0.84/1.41    ron( X, Y ) }.
% 0.84/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint( 
% 0.84/1.41    skol11( U, W ) ) }.
% 0.84/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol11
% 0.84/1.41    ( U, Y ) = Y }.
% 0.84/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron( 
% 0.84/1.41    skol11( X, Y ), X ) }.
% 0.84/1.41  { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.84/1.41    rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.84/1.41  { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.84/1.41    rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.84/1.41  { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.84/1.41    rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.84/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.84/1.41    .
% 0.84/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.84/1.41     }.
% 0.84/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.84/1.41     }.
% 0.84/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol12( U, W ) ) }
% 0.84/1.41    .
% 0.84/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol12( X, Y
% 0.84/1.41     ) }.
% 0.84/1.41  { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.84/1.41  { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W, 
% 0.84/1.41    ! rpoint( W ), rS( Y, X, Z ) }.
% 0.84/1.41  { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, ! 
% 0.84/1.41    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.84/1.41    , Z ) }.
% 0.84/1.41  { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.84/1.42     = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ), 
% 0.84/1.42    ron( X, Y ) }.
% 0.84/1.42  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.84/1.42    , ! rpoint( W ), alpha6( X, Y, Z ) }.
% 0.84/1.42  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.84/1.42    , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.84/1.42  { ! alpha6( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.84/1.42  { ! alpha6( X, Y, Z ), ! X = Z }.
% 0.84/1.42  { ! alpha6( X, Y, Z ), ! X = Y }.
% 0.84/1.42  { rR( X, Y, Z ), X = Z, X = Y, alpha6( X, Y, Z ) }.
% 0.84/1.42  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.84/1.42    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.84/1.42    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol13( V3, V4, V5, V6
% 0.84/1.42     ) ) }.
% 0.84/1.42  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.84/1.42    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.84/1.42    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol13( X, V3, V4, V5 ), X
% 0.84/1.42     ) }.
% 0.84/1.42  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.84/1.42    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.84/1.42    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha7( Y, Z, T, skol13( X, Y, 
% 0.84/1.42    Z, T ) ) }.
% 0.84/1.42  { ! alpha7( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.84/1.42  { ! alpha7( X, Y, Z, T ), ron( T, X ) }.
% 0.84/1.42  { ! rS( T, Z, Y ), ! ron( T, X ), alpha7( X, Y, Z, T ) }.
% 0.84/1.42  { ! V4 = V5, alpha31( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.84/1.42    ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.84/1.42    , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.84/1.42     rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.84/1.42     T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, ! 
% 0.84/1.42    rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ), 
% 0.84/1.42    ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 = 
% 0.84/1.42    V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), ! 
% 0.84/1.42    V6 = V27, ! rpoint( V27 ), alpha36( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.84/1.42    .
% 0.84/1.42  { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.84/1.42    ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.84/1.42     ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.84/1.42    , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.84/1.42     ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, ! 
% 0.84/1.42    rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! 
% 0.84/1.42    V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! 
% 0.84/1.42    rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! 
% 0.84/1.42    V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha36( X, Y, Z
% 0.84/1.42    , T, U, W, V0, V1, V2, V3 ) }.
% 0.84/1.42  { ! alpha36( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) = 
% 0.84/1.42    vangle( V1, V2, V3 ) }.
% 0.84/1.42  { ! alpha36( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.84/1.42    .
% 0.84/1.42  { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ), 
% 0.84/1.42    alpha36( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.84/1.42  { ! alpha31( X, Y, Z, T, U, W, V0 ), rS( skol14( X, V1, V2, V3, V4, V5, V0
% 0.84/1.42     ), V0, X ) }.
% 0.84/1.42  { ! alpha31( X, Y, Z, T, U, W, V0 ), alpha8( X, U, W, skol51( X, V1, V2, V3
% 0.84/1.42    , U, W, V4 ) ) }.
% 0.84/1.42  { ! alpha31( X, Y, Z, T, U, W, V0 ), alpha25( Y, Z, T, U, skol14( X, Y, Z, 
% 0.84/1.42    T, U, W, V0 ), skol51( X, Y, Z, T, U, W, V0 ) ) }.
% 0.84/1.42  { ! rS( V1, V0, X ), ! alpha8( X, U, W, V2 ), ! alpha25( Y, Z, T, U, V1, V2
% 0.84/1.42     ), alpha31( X, Y, Z, T, U, W, V0 ) }.
% 0.84/1.42  { ! alpha25( X, Y, Z, T, U, W ), rpoint( skol15( V0, V1, V2, V3, V4, V5 ) )
% 0.84/1.42     }.
% 0.84/1.42  { ! alpha25( X, Y, Z, T, U, W ), alpha37( X, Y, Z, T, U, W, skol15( X, Y, Z
% 0.84/1.42    , T, U, W ) ) }.
% 0.84/1.42  { ! alpha37( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha25( X, Y, Z, T, U
% 0.84/1.42    , W ) }.
% 0.84/1.42  { ! alpha37( X, Y, Z, T, U, W, V0 ), alpha42( X, Y, Z, T, U, W, V0 ) }.
% 0.84/1.42  { ! alpha37( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.84/1.42  { ! alpha42( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha37( X, Y, Z, T, U
% 0.84/1.42    , W, V0 ) }.
% 0.84/1.42  { ! alpha42( X, Y, Z, T, U, W, V0 ), alpha32( X, Y, Z, U, W, V0 ) }.
% 0.84/1.42  { ! alpha42( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.84/1.42  { ! alpha42( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.84/1.42  { ! alpha32( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha42( X, Y, Z
% 0.84/1.42    , T, U, W, V0 ) }.
% 0.84/1.42  { ! alpha32( X, Y, Z, T, U, W ), alpha38( X, Y, Z, T, U, W ) }.
% 0.84/1.42  { ! alpha32( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.84/1.42  { ! alpha38( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ), 
% 0.84/1.42    alpha32( X, Y, Z, T, U, W ) }.
% 0.84/1.42  { ! alpha38( X, Y, Z, T, U, W ), alpha43( X, Y, Z, T, U, W ) }.
% 0.84/1.42  { ! alpha38( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.84/1.42  { ! alpha43( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ), 
% 0.84/1.42    alpha38( X, Y, Z, T, U, W ) }.
% 0.84/1.42  { ! alpha43( X, Y, Z, T, U, W ), alpha45( X, Y, Z, T, U, W ) }.
% 0.84/1.42  { ! alpha43( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.84/1.42  { ! alpha45( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ), 
% 0.84/1.42    alpha43( X, Y, Z, T, U, W ) }.
% 0.84/1.42  { ! alpha45( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.84/1.42  { ! alpha45( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.84/1.42  { ! alpha45( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.84/1.42  { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf( 
% 0.84/1.42    W, U ), alpha45( X, Y, Z, T, U, W ) }.
% 0.84/1.42  { ! alpha8( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.84/1.42  { ! alpha8( X, Y, Z, T ), ron( T, X ) }.
% 0.84/1.42  { rR( Y, T, Z ), ! ron( T, X ), alpha8( X, Y, Z, T ) }.
% 0.84/1.42  { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, ! 
% 0.84/1.42    rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.84/1.42  { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, ! 
% 0.84/1.42    rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.84/1.42  { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.84/1.42    , X ), X = Y }.
% 0.84/1.42  { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.84/1.42     U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.84/1.42  { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.84/1.42    , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, ! 
% 0.84/1.42    rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.84/1.42  { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.84/1.42    ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, ! 
% 0.84/1.42    rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.84/1.42  { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W, 
% 0.84/1.42    ! rpoint( W ), ! ron( X, Y ) }.
% 0.84/1.42  { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.84/1.42    ( X, Y ) }.
% 0.84/1.42  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.84/1.42    alpha26( X, Y, skol16( X, Y ), skol52( X, Y ) ) }.
% 0.84/1.42  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.84/1.42    rpoint( skol16( X, Y ) ) }.
% 0.84/1.42  { ! alpha26( X, Y, Z, T ), alpha33( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha26( X, Y, Z, T ), ron( Z, X ) }.
% 0.84/1.42  { ! alpha33( X, Y, Z, T ), ! ron( Z, X ), alpha26( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha33( X, Y, Z, T ), alpha39( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha33( X, Y, Z, T ), ron( Z, Y ) }.
% 0.84/1.42  { ! alpha39( X, Y, Z, T ), ! ron( Z, Y ), alpha33( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha39( X, Y, Z, T ), alpha9( Y, Z, T ) }.
% 0.84/1.42  { ! alpha39( X, Y, Z, T ), ron( T, X ) }.
% 0.84/1.42  { ! alpha39( X, Y, Z, T ), rpoint( T ) }.
% 0.84/1.42  { ! alpha9( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha39( X, Y, Z, T )
% 0.84/1.42     }.
% 0.84/1.42  { ! alpha9( X, Y, Z ), ! Y = Z }.
% 0.84/1.42  { ! alpha9( X, Y, Z ), ron( Z, X ) }.
% 0.84/1.42  { Y = Z, ! ron( Z, X ), alpha9( X, Y, Z ) }.
% 0.84/1.42  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol17( U
% 0.84/1.42    , W ) ) }.
% 0.84/1.42  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol17( U
% 0.84/1.42    , Y ) ) }.
% 0.84/1.42  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol17
% 0.84/1.42    ( X, Y ) ) }.
% 0.84/1.42  { ! X = Y, ! rcircle( Y ), rpoint( skol18( Z ) ) }.
% 0.84/1.42  { ! X = Y, ! rcircle( Y ), ron( skol18( X ), X ) }.
% 0.84/1.42  { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ), 
% 0.84/1.42    ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1, 
% 0.84/1.42    ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T = 
% 0.84/1.42    V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.84/1.42     X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.84/1.42  { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.84/1.42    ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.84/1.42     ) }.
% 0.84/1.42  { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.84/1.42    , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = 
% 0.84/1.42    V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.84/1.42  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.84/1.42    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.84/1.42    ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol19( V2, V3, V4, V5 ) ) }.
% 0.84/1.42  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.84/1.42    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.84/1.42    ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol19( V2, Y, V3, V4 ), Y ) }.
% 0.84/1.42  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.84/1.42    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.84/1.42    ( V0 ), ! X = V1, ! rcircle( V1 ), alpha10( X, Z, T, skol19( X, Y, Z, T )
% 0.84/1.42     ) }.
% 0.84/1.42  { ! alpha10( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.84/1.42  { ! alpha10( X, Y, Z, T ), ron( T, X ) }.
% 0.84/1.42  { ! rR( T, Y, Z ), ! ron( T, X ), alpha10( X, Y, Z, T ) }.
% 0.84/1.42  { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X 
% 0.84/1.42    = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! 
% 0.84/1.42    rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.84/1.42    , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.84/1.42  { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X 
% 0.84/1.42    = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! 
% 0.84/1.42    rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.84/1.42    , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.84/1.42  { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.84/1.42    ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.84/1.42  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.84/1.42     ) }.
% 0.84/1.42  { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.84/1.42  { v0 = vd684 }.
% 0.84/1.42  { rreal( vd684 ) }.
% 0.84/1.42  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.84/1.42    skol20( U, W ) ) }.
% 0.84/1.42  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol20
% 0.84/1.42    ( X, Y ), Y, X ) }.
% 0.84/1.42  { ! rcenter( X, Y ), rcircle( skol21( Z, T ) ) }.
% 0.84/1.42  { ! rcenter( X, Y ), Y = skol21( Z, Y ) }.
% 0.84/1.42  { ! rcenter( X, Y ), alpha11( X ) }.
% 0.84/1.42  { ! alpha11( X ), rpoint( skol22( Y ) ) }.
% 0.84/1.42  { ! alpha11( X ), X = skol22( X ) }.
% 0.84/1.42  { ! X = Y, ! rpoint( Y ), alpha11( X ) }.
% 0.84/1.42  { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.84/1.42     ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), 
% 0.84/1.42    X = Y }.
% 0.84/1.42  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.84/1.42    , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.84/1.42  { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.84/1.42  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.84/1.42    rpoint( skol23( U, W ) ) }.
% 0.84/1.42  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.84/1.42    ron( skol23( U, Y ), Y ) }.
% 0.84/1.42  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.84/1.42    ron( skol23( X, Y ), X ) }.
% 0.84/1.42  { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, ! 
% 0.84/1.42    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.84/1.42    , Y, Z ) = v0, ron( Z, T ) }.
% 0.84/1.42  { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, ! 
% 0.84/1.42    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.84/1.42    , T ), vg( X, Y, Z ) = v0 }.
% 0.84/1.42  { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.84/1.42     rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.84/1.42  { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.84/1.42    ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.84/1.42  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.84/1.42    ( Y, X ) }.
% 0.84/1.42  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol24( U, W ) ) }.
% 0.84/1.42  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol24( X, 
% 0.84/1.42    Y ) }.
% 0.84/1.42  { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, ! 
% 0.84/1.42    rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.84/1.42  { rS( Y, Z, skol25( Y, Z ) ), alpha12( X, Z ), ! ron( Y, X ), ! U = T, ! 
% 0.84/1.42    rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.84/1.42    , ! rpoint( V1 ), rintersect( skol53( X ), X ) }.
% 0.84/1.42  { rS( Y, Z, skol25( Y, Z ) ), alpha12( X, Z ), ! rinside( Y, X ), ! U = T, 
% 0.84/1.42    ! rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = 
% 0.84/1.42    V1, ! rpoint( V1 ), rintersect( skol53( X ), X ) }.
% 0.84/1.42  { ! alpha12( X, Y ), ! ron( Y, X ) }.
% 0.84/1.42  { ! alpha12( X, Y ), ! rinside( Y, X ) }.
% 0.84/1.42  { ron( Y, X ), rinside( Y, X ), alpha12( X, Y ) }.
% 0.84/1.42  { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.84/1.42     ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ), 
% 0.84/1.42    rintersect( X, Y ) }.
% 0.84/1.42  { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ), 
% 0.84/1.42    ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.84/1.42    , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! 
% 0.84/1.42    rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, ! 
% 0.84/1.42    rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.84/1.42  { ! rR( T, Z, X ), rinside( T, Y ), alpha13( Y, Z ), ! Y = U, ! rcircle( U
% 0.84/1.42     ), ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint
% 0.84/1.42    ( V1 ), ! ron( X, Y ) }.
% 0.84/1.42  { ! rR( T, Z, X ), rinside( T, Y ), alpha13( Y, Z ), ! Y = U, ! rcircle( U
% 0.84/1.42     ), ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint
% 0.84/1.42    ( V1 ), ! ron( X, Y ) }.
% 0.84/1.42  { ! alpha13( X, Y ), ! ron( Y, X ) }.
% 0.84/1.42  { ! alpha13( X, Y ), ! rinside( Y, X ) }.
% 0.84/1.42  { ron( Y, X ), rinside( Y, X ), alpha13( X, Y ) }.
% 0.84/1.42  { ! rR( X, Z, T ), alpha14( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U )
% 0.84/1.42    , ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( 
% 0.84/1.42    V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.84/1.42  { ! rR( X, Z, T ), alpha14( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle( 
% 0.84/1.42    U ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.84/1.42    ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.84/1.42  { ! alpha14( X, Y ), ! ron( Y, X ) }.
% 0.84/1.42  { ! alpha14( X, Y ), ! rinside( Y, X ) }.
% 0.84/1.42  { ron( Y, X ), rinside( Y, X ), alpha14( X, Y ) }.
% 0.84/1.42  { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), ! 
% 0.84/1.42    ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline( 
% 0.84/1.42    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.84/1.42    rpoint( V3 ), rR( X, Y, Z ) }.
% 0.84/1.42  { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), ! 
% 0.84/1.42    ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.84/1.42     ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.84/1.42     V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline( 
% 0.84/1.42    V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.84/1.42  { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.84/1.42    ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.84/1.42     W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.84/1.42     ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.84/1.42    ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.84/1.42  { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.84/1.42    , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.84/1.42    ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, ! 
% 0.84/1.42    rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.84/1.42    , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.84/1.42  { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.84/1.42    , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X 
% 0.84/1.42    = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.84/1.42    rpoint( V3 ), rR( Y, X, Z ) }.
% 0.84/1.42  { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.84/1.42     W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.84/1.42    ( X, Y, Z ) }.
% 0.84/1.42  { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, ! 
% 0.84/1.42    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.84/1.42    , Z ) }.
% 0.84/1.42  { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.84/1.42     ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.84/1.42    ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.84/1.42  { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, ! 
% 0.84/1.42    rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.84/1.42    , Z ) }.
% 0.84/1.42  { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.84/1.42     }.
% 0.84/1.42  { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, ! 
% 0.84/1.42    rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.84/1.42    , Y, Z ) }.
% 0.84/1.42  { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, ! 
% 0.84/1.42    rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.84/1.42    , Y ) }.
% 0.84/1.42  { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.84/1.42  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.84/1.42    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.84/1.42    rcircle( V1 ), rpoint( skol26( V2, V3, V4, V5 ) ) }.
% 0.84/1.42  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.84/1.42    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.84/1.42    rcircle( V1 ), ron( skol26( X, V2, V3, V4 ), X ) }.
% 0.84/1.42  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.84/1.42    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.84/1.42    rcircle( V1 ), alpha15( Y, Z, T, skol26( X, Y, Z, T ) ) }.
% 0.84/1.42  { ! alpha15( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.84/1.42  { ! alpha15( X, Y, Z, T ), ron( T, X ) }.
% 0.84/1.42  { ! rR( Y, T, Z ), ! ron( T, X ), alpha15( X, Y, Z, T ) }.
% 0.84/1.42  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.84/1.42    alpha27( X, Y, skol27( X, Y ), skol54( X, Y ) ) }.
% 0.84/1.42  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.84/1.42    rpoint( skol27( X, Y ) ) }.
% 0.84/1.42  { ! alpha27( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha27( X, Y, Z, T ), ron( Z, Y ) }.
% 0.84/1.42  { ! alpha34( X, Y, Z, T ), ! ron( Z, Y ), alpha27( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha34( X, Y, Z, T ), alpha40( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha34( X, Y, Z, T ), ron( Z, X ) }.
% 0.84/1.42  { ! alpha40( X, Y, Z, T ), ! ron( Z, X ), alpha34( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha40( X, Y, Z, T ), alpha16( X, Z, T ) }.
% 0.84/1.42  { ! alpha40( X, Y, Z, T ), ron( T, Y ) }.
% 0.84/1.42  { ! alpha40( X, Y, Z, T ), rpoint( T ) }.
% 0.84/1.42  { ! alpha16( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha40( X, Y, Z, T )
% 0.84/1.42     }.
% 0.84/1.42  { ! alpha16( X, Y, Z ), ! Y = Z }.
% 0.84/1.42  { ! alpha16( X, Y, Z ), ron( Z, X ) }.
% 0.84/1.42  { Y = Z, ! ron( Z, X ), alpha16( X, Y, Z ) }.
% 0.84/1.42  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.84/1.42    rpoint( skol28( U, W ) ) }.
% 0.84/1.42  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.84/1.42    ( skol28( U, Y ), Y ) }.
% 0.84/1.42  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.84/1.42    ( skol28( X, Y ), X ) }.
% 0.84/1.42  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), 
% 0.84/1.42    rpoint( skol29( U, W ) ) }.
% 0.84/1.42  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron( 
% 0.84/1.42    skol29( U, Y ), Y ) }.
% 0.84/1.42  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron( 
% 0.84/1.42    skol29( X, Y ), X ) }.
% 0.84/1.42  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.84/1.42    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.84/1.42    rpoint( skol30( V2, V3, V4, V5 ) ) }.
% 0.84/1.42  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.84/1.42    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.84/1.42    rS( skol30( X, Y, V2, V3 ), Y, X ) }.
% 0.84/1.42  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.84/1.42    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.84/1.42    alpha28( Y, Z, T, skol30( X, Y, Z, T ) ) }.
% 0.84/1.42  { ! alpha28( X, Y, Z, T ), alpha17( Y, Z, T ) }.
% 0.84/1.42  { ! alpha28( X, Y, Z, T ), ! T = X }.
% 0.84/1.42  { ! alpha17( Y, Z, T ), T = X, alpha28( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.84/1.42  { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.84/1.42  { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.84/1.42  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.84/1.42    T ), ! X = W, ! rline( W ), rpoint( skol31( V0, V1, V2 ) ) }.
% 0.84/1.42  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.84/1.42    T ), ! X = W, ! rline( W ), alpha18( Y, Z, skol31( V0, Y, Z ) ) }.
% 0.84/1.42  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.84/1.42    T ), ! X = W, ! rline( W ), rS( skol31( X, Y, Z ), Y, X ) }.
% 0.84/1.42  { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.84/1.42  { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.84/1.42  { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.84/1.42  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.84/1.42    skol32( U, W ) ) }.
% 0.84/1.42  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol32( U, 
% 0.84/1.42    Y ) = Y }.
% 0.84/1.42  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol32( X
% 0.84/1.42    , Y ), Y, X ) }.
% 0.84/1.42  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.84/1.42    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.84/1.42    rpoint( skol33( V2, V3, V4 ) ) }.
% 0.84/1.42  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.84/1.42    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.84/1.42    ! skol33( V2, V3, Z ) = Z }.
% 0.84/1.42  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.84/1.42    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.84/1.42    rR( Y, X, skol33( X, Y, Z ) ) }.
% 0.84/1.42  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.84/1.42    rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol34( V0, V1 ) ) }.
% 0.84/1.42  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.84/1.42    rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol34( X, Y ) ) }.
% 0.84/1.42  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.84/1.42    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.84/1.42    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint( 
% 0.84/1.42    skol35( V4, V5, V6, V7 ) ) }.
% 0.84/1.42  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.84/1.42    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.84/1.42    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha19
% 0.84/1.42    ( Z, T, skol35( V4, V5, Z, T ) ) }.
% 0.84/1.42  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.84/1.42    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.84/1.42    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR( 
% 0.84/1.42    skol35( X, Y, Z, T ), X, Y ) }.
% 0.84/1.42  { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.84/1.42  { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.84/1.42  { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.84/1.42  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.84/1.42    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.84/1.42    rpoint( skol36( V2, V3, V4 ) ) }.
% 0.84/1.42  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.84/1.42    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.84/1.42    ! skol36( V2, V3, Z ) = Z }.
% 0.84/1.42  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.84/1.42    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.84/1.42    rR( skol36( X, Y, Z ), X, Y ) }.
% 0.84/1.42  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.84/1.42    rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol37( V0, V1 ) ) }.
% 0.84/1.42  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.84/1.42    rpoint( U ), ! Z = W, ! rline( W ), rR( skol37( X, Y ), X, Y ) }.
% 0.84/1.42  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.84/1.42    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.84/1.42    rpoint( skol38( V2, V3, V4 ) ) }.
% 0.84/1.42  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.84/1.42    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.84/1.42    ron( skol38( X, V2, V3 ), X ) }.
% 0.84/1.42  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.84/1.42    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.84/1.42    alpha20( Y, Z, skol38( X, Y, Z ) ) }.
% 0.84/1.42  { ! alpha20( X, Y, Z ), ! Z = Y }.
% 0.84/1.42  { ! alpha20( X, Y, Z ), ! Z = X }.
% 0.84/1.42  { Z = Y, Z = X, alpha20( X, Y, Z ) }.
% 0.84/1.42  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.84/1.42    U ), ! X = W, ! rline( W ), rpoint( skol39( V0, V1, V2 ) ) }.
% 0.84/1.42  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.84/1.42    U ), ! X = W, ! rline( W ), ron( skol39( X, V0, V1 ), X ) }.
% 0.84/1.42  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.84/1.42    U ), ! X = W, ! rline( W ), alpha21( Y, Z, skol39( X, Y, Z ) ) }.
% 0.84/1.42  { ! alpha21( X, Y, Z ), ! Z = Y }.
% 0.84/1.42  { ! alpha21( X, Y, Z ), ! Z = X }.
% 0.84/1.42  { Z = Y, Z = X, alpha21( X, Y, Z ) }.
% 0.84/1.42  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.84/1.42    skol40( U, W ) ) }.
% 0.84/1.42  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol40( U
% 0.84/1.42    , Y ) = Y }.
% 0.84/1.42  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol40
% 0.84/1.42    ( X, Y ), X ) }.
% 0.84/1.42  { ! X = Y, ! rline( Y ), rpoint( skol41( Z ) ) }.
% 0.84/1.42  { ! X = Y, ! rline( Y ), ron( skol41( X ), X ) }.
% 0.84/1.42  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.84/1.42    , ! X = V1, ! rpoint( V1 ), rpoint( skol42( V2, V3, V4, V5 ) ) }.
% 0.84/1.42  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.84/1.42    , ! X = V1, ! rpoint( V1 ), ! skol42( X, V2, V3, V4 ) = X }.
% 0.84/1.42  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.84/1.42    , ! X = V1, ! rpoint( V1 ), alpha29( Y, Z, T, skol42( X, Y, Z, T ) ) }.
% 0.84/1.42  { ! alpha29( X, Y, Z, T ), alpha22( Y, Z, T ) }.
% 0.84/1.42  { ! alpha29( X, Y, Z, T ), ! T = X }.
% 0.84/1.42  { ! alpha22( Y, Z, T ), T = X, alpha29( X, Y, Z, T ) }.
% 0.84/1.42  { ! alpha22( X, Y, Z ), ! Z = Y }.
% 0.84/1.42  { ! alpha22( X, Y, Z ), ! Z = X }.
% 0.84/1.42  { Z = Y, Z = X, alpha22( X, Y, Z ) }.
% 0.84/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.42    rpoint( skol43( V0, V1, V2 ) ) }.
% 0.84/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.84/1.42     skol43( X, V0, V1 ) = X }.
% 0.84/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.42    alpha23( Y, Z, skol43( X, Y, Z ) ) }.
% 0.84/1.42  { ! alpha23( X, Y, Z ), ! Z = Y }.
% 0.84/1.42  { ! alpha23( X, Y, Z ), ! Z = X }.
% 0.84/1.42  { Z = Y, Z = X, alpha23( X, Y, Z ) }.
% 0.84/1.42  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol44( U, W ) )
% 0.84/1.42     }.
% 0.84/1.42  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol44( U, Y ) = Y }.
% 0.84/1.42  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol44( X, Y ) = X }.
% 0.84/1.42  { ! X = Y, ! rpoint( Y ), rpoint( skol45( Z ) ) }.
% 0.84/1.42  { ! X = Y, ! rpoint( Y ), ! skol45( X ) = X }.
% 0.84/1.42  { rpoint( vd14 ) }.
% 0.84/1.42  { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha41( X, Y, Z ) }.
% 0.84/1.42  { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha35( X ) }.
% 0.84/1.42  { ! alpha41( X, Y, Z ), alpha44( X, Y, Z ) }.
% 0.84/1.42  { ! alpha41( X, Y, Z ), alpha30( Y ) }.
% 0.84/1.42  { ! alpha44( X, Y, Z ), ! alpha30( Y ), alpha41( X, Y, Z ) }.
% 0.84/1.42  { ! alpha44( X, Y, Z ), alpha46( X, Y, Z ) }.
% 0.84/1.42  { ! alpha44( X, Y, Z ), alpha24( Z ) }.
% 0.84/1.42  { ! alpha46( X, Y, Z ), ! alpha24( Z ), alpha44( X, Y, Z ) }.
% 0.84/1.42  { ! alpha46( X, Y, Z ), ! Y = Z }.
% 0.84/1.42  { ! alpha46( X, Y, Z ), ! X = Z }.
% 0.84/1.42  { ! alpha46( X, Y, Z ), ! X = Y }.
% 0.84/1.42  { Y = Z, X = Z, X = Y, alpha46( X, Y, Z ) }.
% 0.84/1.42  { ! alpha35( X ), rpoint( skol46( Y ) ) }.
% 0.84/1.42  { ! alpha35( X ), X = skol46( X ) }.
% 0.84/1.42  { ! X = Y, ! rpoint( Y ), alpha35( X ) }.
% 0.84/1.42  { ! alpha30( X ), rpoint( skol47( Y ) ) }.
% 0.84/1.42  { ! alpha30( X ), X = skol47( X ) }.
% 0.84/1.42  { ! X = Y, ! rpoint( Y ), alpha30( X ) }.
% 0.84/1.42  { ! alpha24( X ), rpoint( skol48( Y ) ) }.
% 0.84/1.42  { ! alpha24( X ), X = skol48( X ) }.
% 0.84/1.42  { ! X = Y, ! rpoint( Y ), alpha24( X ) }.
% 0.84/1.42  { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint( 
% 0.84/1.42    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.84/1.42    rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T ) 
% 0.84/1.42    = vperp }.
% 0.84/1.42  { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint( 
% 0.84/1.42    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.84/1.42    rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.84/1.42    , Z, Y ) }.
% 0.84/1.42  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.84/1.42    .
% 0.84/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.42    rreal( skol49( V0, V1, V2 ) ) }.
% 0.84/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.42    vg( X, Y, Z ) = skol49( X, Y, Z ) }.
% 0.84/1.42  { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp, 
% 0.84/1.42    vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), ! 
% 0.84/1.42    ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, ! 
% 0.84/1.42    rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5, 
% 0.84/1.42    ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U 
% 0.84/1.43    = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y, 
% 0.84/1.43    Z ), rS( Y, X, T ) }.
% 0.84/1.43  { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp, 
% 0.84/1.43    vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), ! 
% 0.84/1.43    ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, ! 
% 0.84/1.43    rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5, 
% 0.84/1.43    ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U 
% 0.84/1.43    = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.84/1.43  { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.84/1.43    , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W, 
% 0.84/1.43    T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.84/1.43    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = 
% 0.84/1.43    V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), 
% 0.84/1.43    vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.84/1.43  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.43    vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.84/1.43  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.43    vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.84/1.43  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.43    rgeq( vg( X, Y, Z ), v0 ) }.
% 0.84/1.43  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.84/1.43  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.43    rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.84/1.43  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.84/1.43    rleq( v0, vangle( X, Y, Z ) ) }.
% 0.84/1.43  
% 0.84/1.43  *** allocated 15000 integers for clauses
% 0.84/1.43  *** allocated 22500 integers for clauses
% 0.84/1.43  percentage equality = 0.395817, percentage horn = 0.720317
% 0.84/1.43  This is a problem with some equality
% 0.84/1.43  
% 0.84/1.43  
% 0.84/1.43  
% 0.84/1.43  Options Used:
% 0.84/1.43  
% 0.84/1.43  useres =            1
% 0.84/1.43  useparamod =        1
% 0.84/1.43  useeqrefl =         1
% 0.84/1.43  useeqfact =         1
% 0.84/1.43  usefactor =         1
% 0.84/1.43  usesimpsplitting =  0
% 0.84/1.43  usesimpdemod =      5
% 0.84/1.43  usesimpres =        3
% 0.84/1.43  
% 0.84/1.43  resimpinuse      =  1000
% 0.84/1.43  resimpclauses =     20000
% 0.84/1.43  substype =          eqrewr
% 0.84/1.43  backwardsubs =      1
% 0.84/1.43  selectoldest =      5
% 0.84/1.43  
% 0.84/1.43  litorderings [0] =  split
% 0.84/1.43  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.84/1.43  
% 0.84/1.43  termordering =      kbo
% 0.84/1.43  
% 0.84/1.43  litapriori =        0
% 0.84/1.43  termapriori =       1
% 0.84/1.43  litaposteriori =    0
% 0.84/1.43  termaposteriori =   0
% 0.84/1.43  demodaposteriori =  0
% 0.84/1.43  ordereqreflfact =   0
% 0.84/1.43  
% 0.84/1.43  litselect =         negord
% 0.84/1.43  
% 0.84/1.43  maxweight =         15
% 0.84/1.43  maxdepth =          30000
% 0.84/1.43  maxlength =         115
% 0.84/1.43  maxnrvars =         195
% 0.84/1.43  excuselevel =       1
% 0.84/1.43  increasemaxweight = 1
% 0.84/1.43  
% 0.84/1.43  maxselected =       10000000
% 0.84/1.43  maxnrclauses =      10000000
% 0.84/1.43  
% 0.84/1.43  showgenerated =    0
% 0.84/1.43  showkept =         0
% 0.84/1.43  showselected =     0
% 0.84/1.43  showdeleted =      0
% 0.84/1.43  showresimp =       1
% 0.84/1.43  showstatus =       2000
% 0.84/1.43  
% 0.84/1.43  prologoutput =     0
% 0.84/1.43  nrgoals =          5000000
% 0.84/1.43  totalproof =       1
% 0.84/1.43  
% 0.84/1.43  Symbols occurring in the translation:
% 0.84/1.43  
% 0.84/1.43  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.84/1.43  .  [1, 2]      (w:1, o:824, a:1, s:1, b:0), 
% 0.84/1.43  !  [4, 1]      (w:0, o:800, a:1, s:1, b:0), 
% 0.84/1.43  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.84/1.43  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.84/1.43  vd1409  [36, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.84/1.43  ron  [37, 2]      (w:1, o:848, a:1, s:1, b:0), 
% 0.84/1.43  vd1401  [38, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.84/1.43  rline  [39, 1]      (w:1, o:805, a:1, s:1, b:0), 
% 0.84/1.43  vd1419  [40, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.84/1.43  vd1415  [41, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.84/1.43  vskolem1416  [42, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.84/1.43  vd1399  [43, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.84/1.43  rpoint  [44, 1]      (w:1, o:806, a:1, s:1, b:0), 
% 0.84/1.43  vd1406  [45, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.84/1.43  vd1407  [46, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.84/1.43  vd1400  [47, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.84/1.43  vf  [56, 2]      (w:1, o:849, a:1, s:1, b:0), 
% 0.84/1.43  rS  [57, 3]      (w:1, o:881, a:1, s:1, b:0), 
% 0.84/1.43  vangle  [58, 3]      (w:1, o:882, a:1, s:1, b:0), 
% 0.84/1.43  rR  [83, 3]      (w:1, o:880, a:1, s:1, b:0), 
% 0.84/1.43  rcircle  [86, 1]      (w:1, o:807, a:1, s:1, b:0), 
% 0.84/1.43  rinside  [88, 2]      (w:1, o:850, a:1, s:1, b:0), 
% 0.84/1.43  vplus  [101, 2]      (w:1, o:851, a:1, s:1, b:0), 
% 0.84/1.43  rless  [126, 2]      (w:1, o:852, a:1, s:1, b:0), 
% 0.84/1.43  vskolem1120  [127, 8]      (w:1, o:946, a:1, s:1, b:0), 
% 1.76/2.10  vskolem1078  [134, 4]      (w:1, o:913, a:1, s:1, b:0), 
% 1.76/2.10  vskolem1052  [146, 4]      (w:1, o:914, a:1, s:1, b:0), 
% 1.76/2.10  v0  [155, 0]      (w:1, o:645, a:1, s:1, b:0), 
% 1.76/2.10  rcenter  [163, 2]      (w:1, o:853, a:1, s:1, b:0), 
% 1.76/2.10  rintersect  [164, 2]      (w:1, o:854, a:1, s:1, b:0), 
% 1.76/2.10  rreal  [206, 1]      (w:1, o:808, a:1, s:1, b:0), 
% 1.76/2.10  vg  [381, 3]      (w:1, o:883, a:1, s:1, b:0), 
% 1.76/2.10  vd684  [394, 0]      (w:1, o:789, a:1, s:1, b:0), 
% 1.76/2.10  vd14  [763, 0]      (w:1, o:793, a:1, s:1, b:0), 
% 1.76/2.10  vtriangle  [768, 3]      (w:1, o:884, a:1, s:1, b:0), 
% 1.76/2.10  rtriangle  [769, 1]      (w:1, o:809, a:1, s:1, b:0), 
% 1.76/2.10  vperp  [783, 0]      (w:1, o:795, a:1, s:1, b:0), 
% 1.76/2.10  rleq  [788, 2]      (w:1, o:855, a:1, s:1, b:0), 
% 1.76/2.10  rgeq  [836, 2]      (w:1, o:856, a:1, s:1, b:0), 
% 1.76/2.10  alpha1  [847, 3]      (w:1, o:885, a:1, s:1, b:1), 
% 1.76/2.10  alpha2  [848, 3]      (w:1, o:890, a:1, s:1, b:1), 
% 1.76/2.10  alpha3  [849, 3]      (w:1, o:895, a:1, s:1, b:1), 
% 1.76/2.10  alpha4  [850, 3]      (w:1, o:896, a:1, s:1, b:1), 
% 1.76/2.10  alpha5  [851, 4]      (w:1, o:916, a:1, s:1, b:1), 
% 1.76/2.10  alpha6  [852, 3]      (w:1, o:897, a:1, s:1, b:1), 
% 1.76/2.10  alpha7  [853, 4]      (w:1, o:917, a:1, s:1, b:1), 
% 1.76/2.10  alpha8  [854, 4]      (w:1, o:918, a:1, s:1, b:1), 
% 1.76/2.10  alpha9  [855, 3]      (w:1, o:898, a:1, s:1, b:1), 
% 1.76/2.10  alpha10  [856, 4]      (w:1, o:919, a:1, s:1, b:1), 
% 1.76/2.10  alpha11  [857, 1]      (w:1, o:810, a:1, s:1, b:1), 
% 1.76/2.10  alpha12  [858, 2]      (w:1, o:857, a:1, s:1, b:1), 
% 1.76/2.10  alpha13  [859, 2]      (w:1, o:858, a:1, s:1, b:1), 
% 1.76/2.10  alpha14  [860, 2]      (w:1, o:859, a:1, s:1, b:1), 
% 1.76/2.10  alpha15  [861, 4]      (w:1, o:920, a:1, s:1, b:1), 
% 1.76/2.10  alpha16  [862, 3]      (w:1, o:886, a:1, s:1, b:1), 
% 1.76/2.10  alpha17  [863, 3]      (w:1, o:887, a:1, s:1, b:1), 
% 1.76/2.10  alpha18  [864, 3]      (w:1, o:888, a:1, s:1, b:1), 
% 1.76/2.10  alpha19  [865, 3]      (w:1, o:889, a:1, s:1, b:1), 
% 1.76/2.10  alpha20  [866, 3]      (w:1, o:891, a:1, s:1, b:1), 
% 1.76/2.10  alpha21  [867, 3]      (w:1, o:892, a:1, s:1, b:1), 
% 1.76/2.10  alpha22  [868, 3]      (w:1, o:893, a:1, s:1, b:1), 
% 1.76/2.10  alpha23  [869, 3]      (w:1, o:894, a:1, s:1, b:1), 
% 1.76/2.10  alpha24  [870, 1]      (w:1, o:811, a:1, s:1, b:1), 
% 1.76/2.10  alpha25  [871, 6]      (w:1, o:935, a:1, s:1, b:1), 
% 1.76/2.11  alpha26  [872, 4]      (w:1, o:921, a:1, s:1, b:1), 
% 1.76/2.11  alpha27  [873, 4]      (w:1, o:922, a:1, s:1, b:1), 
% 1.76/2.11  alpha28  [874, 4]      (w:1, o:923, a:1, s:1, b:1), 
% 1.76/2.11  alpha29  [875, 4]      (w:1, o:924, a:1, s:1, b:1), 
% 1.76/2.11  alpha30  [876, 1]      (w:1, o:812, a:1, s:1, b:1), 
% 1.76/2.11  alpha31  [877, 7]      (w:1, o:941, a:1, s:1, b:1), 
% 1.76/2.11  alpha32  [878, 6]      (w:1, o:936, a:1, s:1, b:1), 
% 1.76/2.11  alpha33  [879, 4]      (w:1, o:925, a:1, s:1, b:1), 
% 1.76/2.11  alpha34  [880, 4]      (w:1, o:926, a:1, s:1, b:1), 
% 1.76/2.11  alpha35  [881, 1]      (w:1, o:813, a:1, s:1, b:1), 
% 1.76/2.11  alpha36  [882, 10]      (w:1, o:947, a:1, s:1, b:1), 
% 1.76/2.11  alpha37  [883, 7]      (w:1, o:942, a:1, s:1, b:1), 
% 1.76/2.11  alpha38  [884, 6]      (w:1, o:937, a:1, s:1, b:1), 
% 1.76/2.11  alpha39  [885, 4]      (w:1, o:927, a:1, s:1, b:1), 
% 1.76/2.11  alpha40  [886, 4]      (w:1, o:915, a:1, s:1, b:1), 
% 1.76/2.11  alpha41  [887, 3]      (w:1, o:899, a:1, s:1, b:1), 
% 1.76/2.11  alpha42  [888, 7]      (w:1, o:943, a:1, s:1, b:1), 
% 1.76/2.11  alpha43  [889, 6]      (w:1, o:938, a:1, s:1, b:1), 
% 1.76/2.11  alpha44  [890, 3]      (w:1, o:900, a:1, s:1, b:1), 
% 1.76/2.11  alpha45  [891, 6]      (w:1, o:939, a:1, s:1, b:1), 
% 1.76/2.11  alpha46  [892, 3]      (w:1, o:901, a:1, s:1, b:1), 
% 1.76/2.11  skol1  [893, 0]      (w:1, o:796, a:1, s:1, b:1), 
% 1.76/2.11  skol2  [894, 0]      (w:1, o:797, a:1, s:1, b:1), 
% 1.76/2.11  skol3  [895, 2]      (w:1, o:868, a:1, s:1, b:1), 
% 1.76/2.11  skol4  [896, 1]      (w:1, o:814, a:1, s:1, b:1), 
% 1.76/2.11  skol5  [897, 3]      (w:1, o:904, a:1, s:1, b:1), 
% 1.76/2.11  skol6  [898, 3]      (w:1, o:905, a:1, s:1, b:1), 
% 1.76/2.11  skol7  [899, 3]      (w:1, o:906, a:1, s:1, b:1), 
% 1.76/2.11  skol8  [900, 1]      (w:1, o:815, a:1, s:1, b:1), 
% 1.76/2.11  skol9  [901, 3]      (w:1, o:907, a:1, s:1, b:1), 
% 1.76/2.11  skol10  [902, 4]      (w:1, o:928, a:1, s:1, b:1), 
% 1.76/2.11  skol11  [903, 2]      (w:1, o:869, a:1, s:1, b:1), 
% 1.76/2.11  skol12  [904, 2]      (w:1, o:870, a:1, s:1, b:1), 
% 1.76/2.11  skol13  [905, 4]      (w:1, o:929, a:1, s:1, b:1), 
% 1.76/2.11  skol14  [906, 7]      (w:1, o:944, a:1, s:1, b:1), 
% 1.76/2.11  skol15  [907, 6]      (w:1, o:940, a:1, s:1, b:1), 
% 1.76/2.11  skol16  [908, 2]      (w:1, o:871, a:1, s:1, b:1), 
% 1.76/2.11  skol17  [909, 2]      (w:1, o:872, a:1, s:1, b:1), 
% 1.76/2.11  skol18  [910, 1]      (w:1, o:816, a:1, s:1, b:1), 
% 1.76/2.11  skol19  [911, 4]      (w:1, o:930, a:1, s:1, b:1), 
% 1.76/2.11  skol20  [912, 2]      (w:1, o:860, a:1, s:1, b:1), 
% 1.76/2.11  skol21  [913, 2]      (w:1, o:861, a:1, s:1, b:1), 
% 1.76/2.11  skol22  [914, 1]      (w:1, o:817, a:1, s:1, b:1), 
% 1.76/2.11  skol23  [915, 2]      (w:1, o:862, a:1, s:1, b:1), 
% 1.76/2.11  skol24  [916, 2]      (w:1, o:863, a:1, s:1, b:1), 
% 1.76/2.11  skol25  [917, 2]      (w:1, o:864, a:1, s:1, b:1), 
% 1.76/2.11  skol26  [918, 4]      (w:1, o:931, a:1, s:1, b:1), 
% 1.76/2.11  skol27  [919, 2]      (w:1, o:865, a:1, s:1, b:1), 
% 1.76/2.11  skol28  [920, 2]      (w:1, o:866, a:1, s:1, b:1), 
% 1.76/2.11  skol29  [921, 2]      (w:1, o:867, a:1, s:1, b:1), 
% 1.76/2.11  skol30  [922, 4]      (w:1, o:932, a:1, s:1, b:1), 
% 1.76/2.11  skol31  [923, 3]      (w:1, o:908, a:1, s:1, b:1), 
% 1.76/2.11  skol32  [924, 2]      (w:1, o:873, a:1, s:1, b:1), 
% 1.76/2.11  skol33  [925, 3]      (w:1, o:909, a:1, s:1, b:1), 
% 1.76/2.11  skol34  [926, 2]      (w:1, o:874, a:1, s:1, b:1), 
% 1.76/2.11  skol35  [927, 4]      (w:1, o:933, a:1, s:1, b:1), 
% 1.76/2.11  skol36  [928, 3]      (w:1, o:910, a:1, s:1, b:1), 
% 1.76/2.11  skol37  [929, 2]      (w:1, o:875, a:1, s:1, b:1), 
% 1.76/2.11  skol38  [930, 3]      (w:1, o:911, a:1, s:1, b:1), 
% 1.76/2.11  skol39  [931, 3]      (w:1, o:912, a:1, s:1, b:1), 
% 1.76/2.11  skol40  [932, 2]      (w:1, o:876, a:1, s:1, b:1), 
% 1.76/2.11  skol41  [933, 1]      (w:1, o:818, a:1, s:1, b:1), 
% 1.76/2.11  skol42  [934, 4]      (w:1, o:934, a:1, s:1, b:1), 
% 1.76/2.11  skol43  [935, 3]      (w:1, o:902, a:1, s:1, b:1), 
% 1.76/2.11  skol44  [936, 2]      (w:1, o:877, a:1, s:1, b:1), 
% 1.76/2.11  skol45  [937, 1]      (w:1, o:819, a:1, s:1, b:1), 
% 1.76/2.11  skol46  [938, 1]      (w:1, o:820, a:1, s:1, b:1), 
% 1.76/2.11  skol47  [939, 1]      (w:1, o:821, a:1, s:1, b:1), 
% 1.76/2.11  skol48  [940, 1]      (w:1, o:822, a:1, s:1, b:1), 
% 1.76/2.11  skol49  [941, 3]      (w:1, o:903, a:1, s:1, b:1), 
% 1.76/2.11  skol50  [942, 0]      (w:1, o:798, a:1, s:1, b:1), 
% 1.76/2.11  skol51  [943, 7]      (w:1, o:945, a:1, s:1, b:1), 
% 1.76/2.11  skol52  [944, 2]      (w:1, o:878, a:1, s:1, b:1), 
% 1.76/2.11  skol53  [945, 1]      (w:1, o:823, a:1, s:1, b:1), 
% 1.76/2.11  skol54  [946, 2]      (w:1, o:879, a:1, s:1, b:1), 
% 1.76/2.11  skol55  [947, 0]      (w:1, o:799, a:1, s:1, b:1).
% 1.76/2.11  
% 1.76/2.11  
% 1.76/2.11  Starting Search:
% 1.76/2.11  
% 1.76/2.11  *** allocated 33750 integers for clauses
% 1.76/2.11  *** allocated 50625 integers for clauses
% 1.76/2.11  *** allocated 75937 integers for termspace/termends
% 1.76/2.11  *** allocated 113905 integers for termspace/termends
% 1.76/2.11  *** allocated 75937 integers for clauses
% 1.76/2.11  *** allocated 113905 integers for clauses
% 1.76/2.11  *** allocated 170857 integers for termspace/termends
% 1.76/2.11  matchinglists is full
% 1.76/2.11  
% 1.76/2.11  Memory use:
% 1.76/2.11  
% 1.76/2.11  space for terms:        114132
% 1.76/2.11  space for clauses:      78821
% 1.76/2.11  
% 1.76/2.11  
% 1.76/2.11  clauses generated:      57511
% 1.76/2.11  clauses kept:           1530
% 1.76/2.11  clauses selected:       0
% 1.76/2.11  clauses deleted:        0
% 1.76/2.11  clauses inuse deleted:  0
% 1.76/2.11  
% 1.76/2.11  subsentry:          47894
% 1.76/2.11  literals s-matched: 18579
% 1.76/2.11  literals matched:   15793
% 1.76/2.11  full subsumption:   15696
% 1.76/2.11  
% 1.76/2.11  checksum:           1870507565
% 1.76/2.11  
% 1.76/2.11  
% 1.76/2.11  Bliksem ended
%------------------------------------------------------------------------------