TSTP Solution File: GEO346+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO346+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 02:53:49 EDT 2022

% Result   : Unknown 1.77s 2.15s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO346+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Sat Jun 18 00:19:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.78/1.38  *** allocated 10000 integers for termspace/termends
% 0.78/1.38  *** allocated 10000 integers for clauses
% 0.78/1.38  *** allocated 10000 integers for justifications
% 0.78/1.38  Bliksem 1.12
% 0.78/1.38  
% 0.78/1.38  
% 0.78/1.38  Automatic Strategy Selection
% 0.78/1.38  
% 0.78/1.38  *** allocated 15000 integers for termspace/termends
% 0.78/1.38  *** allocated 22500 integers for termspace/termends
% 0.78/1.38  *** allocated 33750 integers for termspace/termends
% 0.78/1.38  *** allocated 50625 integers for termspace/termends
% 0.78/1.38  
% 0.78/1.38  Clauses:
% 0.78/1.38  
% 0.78/1.38  { ! rless( vangle( vd1409, vd1401, vd1400 ), vangle( vd1399, vd1409, vd1401
% 0.78/1.38     ) ) }.
% 0.78/1.38  { vangle( vd1399, vd1409, vd1401 ) = vplus( vangle( vd1399, vd1401, vd1400
% 0.78/1.38     ), vangle( vd1400, vd1401, vd1409 ) ) }.
% 0.78/1.38  { vd1418 = vskolem1419 }.
% 0.78/1.38  { ! ron( vd1409, X ), ! ron( vd1401, X ), ! rline( X ), X = vskolem1419 }.
% 0.78/1.38  { ron( vd1409, vskolem1419 ) }.
% 0.78/1.38  { ron( vd1401, vskolem1419 ) }.
% 0.78/1.38  { rline( vskolem1419 ) }.
% 0.78/1.38  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.78/1.38     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.78/1.38    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.78/1.38    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus( 
% 0.78/1.38    vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.78/1.38  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.78/1.38     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.78/1.38    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.78/1.38    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus( 
% 0.78/1.38    vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.78/1.38  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.78/1.38     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.78/1.38    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.78/1.38    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T, 
% 0.78/1.38    W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.78/1.38    .
% 0.78/1.38  { ! vd1409 = vd1401 }.
% 0.78/1.38  { rpoint( vd1409 ) }.
% 0.78/1.38  { vd1406 = vd1407 }.
% 0.78/1.38  { ron( vd1400, vd1406 ) }.
% 0.78/1.38  { ron( vd1399, vd1406 ) }.
% 0.78/1.38  { rline( vd1407 ) }.
% 0.78/1.38  { ! vd1400 = vd1401 }.
% 0.78/1.38  { ! vd1399 = vd1401 }.
% 0.78/1.38  { ! vd1399 = vd1400 }.
% 0.78/1.38  { vd1401 = skol1 }.
% 0.78/1.38  { rpoint( skol1 ) }.
% 0.78/1.38  { vd1400 = skol49 }.
% 0.78/1.38  { rpoint( skol49 ) }.
% 0.78/1.38  { vd1399 = skol54 }.
% 0.78/1.38  { rpoint( skol54 ) }.
% 0.78/1.38  { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, ! 
% 0.78/1.38    rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.78/1.38     V1, ! rpoint( V1 ), X = Y }.
% 0.78/1.38  { vd1415 = vskolem1416 }.
% 0.78/1.38  { ! ron( vd1399, X ), ! ron( vd1401, X ), ! rline( X ), X = vskolem1416 }.
% 0.78/1.38  { ron( vd1399, vskolem1416 ) }.
% 0.78/1.38  { ron( vd1401, vskolem1416 ) }.
% 0.78/1.38  { rline( vskolem1416 ) }.
% 0.78/1.38  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.78/1.38    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.78/1.38    ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.78/1.38  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.78/1.38    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! 
% 0.78/1.38    vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.78/1.38  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.78/1.38    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! 
% 0.78/1.38    vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.78/1.38  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol2( U, W
% 0.78/1.38     ) ) }.
% 0.78/1.38  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol2( U, 
% 0.78/1.38    Y ) ) }.
% 0.78/1.38  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol2( X, 
% 0.78/1.38    Y ) ) }.
% 0.78/1.38  { vf( vd1400, vd1401 ) = vf( vd1400, vd1409 ) }.
% 0.78/1.38  { vf( vd1399, vd1401 ) = vf( vd1399, vd1409 ) }.
% 0.78/1.38  { rS( vd1401, vd1409, vd1406 ) }.
% 0.78/1.38  { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.78/1.38     Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V2, ! V1 = V3, ! rR
% 0.78/1.38    ( Z, X, V1 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V2 ), vangle( Z
% 0.78/1.38    , Y, V0 ) = vangle( Y, Z, V1 ) }.
% 0.78/1.38  { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.78/1.38     Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V1, ! V2 = V3, ! rR
% 0.78/1.38    ( Z, X, V2 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V1 ), vangle( X
% 0.78/1.38    , Y, Z ) = vangle( X, Z, Y ) }.
% 0.78/1.38  { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.78/1.38    rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.78/1.38  { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.78/1.38    rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.78/1.38  { vangle( vd1399, vd1401, vd1409 ) = vangle( vd1399, vd1409, vd1401 ) }.
% 0.78/1.38  { ! vangle( X, Y, Z ) = vangle( X, Z, Y ), Y = Z, X = Z, X = Y, ! Z = T, ! 
% 0.78/1.38    rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), vf( X, Y ) =
% 0.78/1.38     vf( X, Z ) }.
% 0.78/1.38  { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, ! 
% 0.78/1.38    rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.78/1.38  { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, ! 
% 0.78/1.38    rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.78/1.38  { rline( skol3( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.78/1.38    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint( 
% 0.78/1.38    V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.78/1.38     = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, ! 
% 0.78/1.38    rpoint( V8 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.78/1.38  { ron( T, skol3( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.78/1.38    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint( 
% 0.78/1.38    V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.78/1.38     = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, ! 
% 0.78/1.38    rpoint( V7 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.78/1.38  { alpha1( U, W, skol3( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.78/1.38    , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.78/1.38    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z, 
% 0.78/1.38    X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = 
% 0.78/1.38    V5, ! rpoint( V5 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.78/1.38  { ! alpha1( X, Y, Z ), ron( Y, Z ) }.
% 0.78/1.38  { ! alpha1( X, Y, Z ), ron( X, Z ) }.
% 0.78/1.38  { ! ron( Y, Z ), ! ron( X, Z ), alpha1( X, Y, Z ) }.
% 0.78/1.38  { rline( skol4( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.78/1.38    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint( 
% 0.78/1.38    V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.78/1.38     = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, ! 
% 0.78/1.38    rpoint( V8 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.78/1.38  { ron( T, skol4( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.78/1.38    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint( 
% 0.78/1.38    V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.78/1.38     = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, ! 
% 0.78/1.38    rpoint( V7 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.78/1.38  { alpha2( U, W, skol4( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.78/1.38    , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.78/1.38    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z, 
% 0.78/1.38    X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = 
% 0.78/1.38    V5, ! rpoint( V5 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.78/1.38  { ! alpha2( X, Y, Z ), ron( Y, Z ) }.
% 0.78/1.38  { ! alpha2( X, Y, Z ), ron( X, Z ) }.
% 0.78/1.38  { ! ron( Y, Z ), ! ron( X, Z ), alpha2( X, Y, Z ) }.
% 0.78/1.38  { rline( skol5( W, V0, V1 ) ), ! vangle( X, V2, Y ) = vangle( Z, U, T ), ! 
% 0.78/1.38    vf( V2, Y ) = vf( U, T ), ! vf( V2, X ) = vf( U, Z ), ! T = V3, ! rpoint
% 0.78/1.38    ( V3 ), ! Z = V4, ! rpoint( V4 ), ! U = V5, ! rpoint( V5 ), X = Y, V2 = Y
% 0.78/1.38    , V2 = X, ! Y = V6, ! rpoint( V6 ), ! X = V7, ! rpoint( V7 ), ! V2 = V8, 
% 0.78/1.38    ! rpoint( V8 ), vf( X, Y ) = vf( Z, T ) }.
% 0.78/1.38  { ron( U, skol5( W, V0, U ) ), ! vangle( X, V1, Y ) = vangle( Z, U, T ), ! 
% 0.78/1.38    vf( V1, Y ) = vf( U, T ), ! vf( V1, X ) = vf( U, Z ), ! T = V2, ! rpoint
% 0.78/1.38    ( V2 ), ! Z = V3, ! rpoint( V3 ), ! U = V4, ! rpoint( V4 ), X = Y, V1 = Y
% 0.78/1.38    , V1 = X, ! Y = V5, ! rpoint( V5 ), ! X = V6, ! rpoint( V6 ), ! V1 = V7, 
% 0.78/1.38    ! rpoint( V7 ), vf( X, Y ) = vf( Z, T ) }.
% 0.78/1.38  { alpha3( Z, T, skol5( Z, T, U ) ), ! vangle( X, W, Y ) = vangle( Z, U, T )
% 0.78/1.38    , ! vf( W, Y ) = vf( U, T ), ! vf( W, X ) = vf( U, Z ), ! T = V0, ! 
% 0.78/1.38    rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! U = V2, ! rpoint( V2 ), X = Y, 
% 0.78/1.38    W = Y, W = X, ! Y = V3, ! rpoint( V3 ), ! X = V4, ! rpoint( V4 ), ! W = 
% 0.78/1.38    V5, ! rpoint( V5 ), vf( X, Y ) = vf( Z, T ) }.
% 0.78/1.38  { ! alpha3( X, Y, Z ), ron( Y, Z ) }.
% 0.78/1.38  { ! alpha3( X, Y, Z ), ron( X, Z ) }.
% 0.78/1.38  { ! ron( Y, Z ), ! ron( X, Z ), alpha3( X, Y, Z ) }.
% 0.78/1.38  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.78/1.38    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.78/1.38    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol6( V3, V4, V5, V6 )
% 0.78/1.38     ) }.
% 0.78/1.38  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.78/1.38    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.78/1.38    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol6( X, V3, V4, V5 ), X
% 0.78/1.38     ) }.
% 0.78/1.38  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.78/1.38    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.78/1.38    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha4( Y, Z, T, skol6( X, Y, Z
% 0.78/1.38    , T ) ) }.
% 0.78/1.38  { ! alpha4( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.78/1.38  { ! alpha4( X, Y, Z, T ), ron( T, X ) }.
% 0.78/1.38  { rS( T, Z, Y ), ! ron( T, X ), alpha4( X, Y, Z, T ) }.
% 0.78/1.38  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.78/1.38    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.78/1.38    Y ), vf( X, vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) = vf( U, V0 ) }.
% 0.78/1.38  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.78/1.38    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.78/1.38    Y ), rR( vskolem1120( X, Y, Z, T, U, W, V0, V1 ), X, Z ) }.
% 0.78/1.38  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.78/1.38    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.78/1.38    Y ), rpoint( vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) }.
% 0.78/1.38  { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.78/1.38     ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), 
% 0.78/1.38    X = Y }.
% 0.78/1.38  { ! X = Y, ! rcircle( Y ), rpoint( skol7( Z ) ) }.
% 0.78/1.38  { ! X = Y, ! rcircle( Y ), ! rinside( skol7( X ), X ) }.
% 0.78/1.38  { ! X = Y, ! rcircle( Y ), ! ron( skol7( X ), X ) }.
% 0.78/1.38  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U 
% 0.78/1.38    = X, ! rpoint( W ), vf( X, Y ) = vf( U, vskolem1078( U, W, X, Y ) ) }.
% 0.78/1.38  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U 
% 0.78/1.38    = X, ! rpoint( W ), rpoint( vskolem1078( U, W, X, Y ) ) }.
% 0.78/1.38  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.78/1.38    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.78/1.38    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol8( V3, V4, V5, V6 )
% 0.78/1.38     ) }.
% 0.78/1.38  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.78/1.38    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.78/1.38    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol8( X, V3, V4, V5 ), X
% 0.78/1.38     ) }.
% 0.78/1.38  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.78/1.38    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.78/1.38    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha5( Y, Z, T, skol8( X, Y, Z
% 0.78/1.38    , T ) ) }.
% 0.78/1.38  { ! alpha5( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.78/1.38  { ! alpha5( X, Y, Z, T ), ron( T, X ) }.
% 0.78/1.38  { ! rS( T, Z, Y ), ! ron( T, X ), alpha5( X, Y, Z, T ) }.
% 0.78/1.38  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 0.78/1.38    ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 0.78/1.38  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 0.78/1.38    , vskolem1052( X, Y, Z, T ) ) }.
% 0.78/1.38  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint( 
% 0.78/1.38    vskolem1052( X, Y, Z, T ) ) }.
% 0.78/1.38  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.78/1.38    , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.78/1.38  { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.78/1.38     = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ), 
% 0.78/1.38    ron( X, Y ) }.
% 0.78/1.38  { ! X = Y, ! rcircle( Y ), rpoint( skol9( Z ) ) }.
% 0.78/1.38  { ! X = Y, ! rcircle( Y ), rinside( skol9( X ), X ) }.
% 0.78/1.38  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.78/1.38    .
% 0.78/1.38  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol10( U, W ) ) }
% 0.78/1.38    .
% 0.78/1.38  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol10( X, Y
% 0.78/1.38     ) }.
% 0.78/1.38  { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.78/1.38  { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, ! 
% 0.78/1.38    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.78/1.38    , Z ) }.
% 0.78/1.38  { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.78/1.38     = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ), 
% 0.78/1.38    ron( X, Y ) }.
% 0.78/1.38  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.78/1.38    , ! rpoint( W ), alpha6( X, Y, Z ) }.
% 0.78/1.38  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.78/1.38    , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.78/1.38  { ! alpha6( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.78/1.38  { ! alpha6( X, Y, Z ), ! X = Z }.
% 0.78/1.38  { ! alpha6( X, Y, Z ), ! X = Y }.
% 0.78/1.38  { rR( X, Y, Z ), X = Z, X = Y, alpha6( X, Y, Z ) }.
% 0.78/1.38  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.78/1.38    alpha25( X, Y, skol11( X, Y ), skol50( X, Y ) ) }.
% 0.78/1.38  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.78/1.38    rpoint( skol11( X, Y ) ) }.
% 0.78/1.38  { ! alpha25( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha25( X, Y, Z, T ), ron( Z, X ) }.
% 0.78/1.38  { ! alpha31( X, Y, Z, T ), ! ron( Z, X ), alpha25( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha31( X, Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha31( X, Y, Z, T ), ron( Z, Y ) }.
% 0.78/1.38  { ! alpha36( X, Y, Z, T ), ! ron( Z, Y ), alpha31( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha36( X, Y, Z, T ), alpha7( Y, Z, T ) }.
% 0.78/1.38  { ! alpha36( X, Y, Z, T ), ron( T, X ) }.
% 0.78/1.38  { ! alpha36( X, Y, Z, T ), rpoint( T ) }.
% 0.78/1.38  { ! alpha7( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha36( X, Y, Z, T )
% 0.78/1.38     }.
% 0.78/1.38  { ! alpha7( X, Y, Z ), ! Y = Z }.
% 0.78/1.38  { ! alpha7( X, Y, Z ), ron( Z, X ) }.
% 0.78/1.38  { Y = Z, ! ron( Z, X ), alpha7( X, Y, Z ) }.
% 0.78/1.38  { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.78/1.38    , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W, 
% 0.78/1.38    T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.78/1.38    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = 
% 0.78/1.38    V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), 
% 0.78/1.38    vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.78/1.38  { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.78/1.38    rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.78/1.38  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.78/1.38     }.
% 0.78/1.38  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.78/1.38     }.
% 0.78/1.38  { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W, 
% 0.78/1.38    ! rpoint( W ), rS( Y, X, Z ) }.
% 0.78/1.38  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.78/1.38    U ), ! X = W, ! rcircle( W ), rpoint( skol12( V0, V1, V2 ) ) }.
% 0.78/1.38  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.78/1.38    U ), ! X = W, ! rcircle( W ), ron( skol12( X, V0, V1 ), X ) }.
% 0.78/1.38  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.78/1.38    U ), ! X = W, ! rcircle( W ), alpha8( Y, Z, skol12( X, Y, Z ) ) }.
% 0.78/1.38  { ! alpha8( X, Y, Z ), ! Z = Y }.
% 0.78/1.38  { ! alpha8( X, Y, Z ), ! Z = X }.
% 0.78/1.38  { Z = Y, Z = X, alpha8( X, Y, Z ) }.
% 0.78/1.38  { ! V4 = V5, alpha32( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.78/1.38    ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.78/1.38    , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.78/1.38     rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.78/1.38     T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, ! 
% 0.78/1.38    rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ), 
% 0.78/1.38    ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 = 
% 0.78/1.38    V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), ! 
% 0.78/1.38    V6 = V27, ! rpoint( V27 ), alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.78/1.38    .
% 0.78/1.38  { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.78/1.38    ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.78/1.38     ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.78/1.38    , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.78/1.38     ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, ! 
% 0.78/1.38    rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! 
% 0.78/1.38    V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! 
% 0.78/1.38    rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! 
% 0.78/1.38    V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha37( X, Y, Z
% 0.78/1.38    , T, U, W, V0, V1, V2, V3 ) }.
% 0.78/1.38  { ! alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) = 
% 0.78/1.38    vangle( V1, V2, V3 ) }.
% 0.78/1.38  { ! alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.78/1.38    .
% 0.78/1.38  { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ), 
% 0.78/1.38    alpha37( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.78/1.38  { ! alpha32( X, Y, Z, T, U, W, V0 ), rS( skol13( X, V1, V2, V3, V4, V5, V0
% 0.78/1.38     ), V0, X ) }.
% 0.78/1.38  { ! alpha32( X, Y, Z, T, U, W, V0 ), alpha9( X, U, W, skol51( X, V1, V2, V3
% 0.78/1.38    , U, W, V4 ) ) }.
% 0.78/1.38  { ! alpha32( X, Y, Z, T, U, W, V0 ), alpha26( Y, Z, T, U, skol13( X, Y, Z, 
% 0.78/1.38    T, U, W, V0 ), skol51( X, Y, Z, T, U, W, V0 ) ) }.
% 0.78/1.38  { ! rS( V1, V0, X ), ! alpha9( X, U, W, V2 ), ! alpha26( Y, Z, T, U, V1, V2
% 0.78/1.38     ), alpha32( X, Y, Z, T, U, W, V0 ) }.
% 0.78/1.38  { ! alpha26( X, Y, Z, T, U, W ), rpoint( skol14( V0, V1, V2, V3, V4, V5 ) )
% 0.78/1.38     }.
% 0.78/1.38  { ! alpha26( X, Y, Z, T, U, W ), alpha38( X, Y, Z, T, U, W, skol14( X, Y, Z
% 0.78/1.38    , T, U, W ) ) }.
% 0.78/1.38  { ! alpha38( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha26( X, Y, Z, T, U
% 0.78/1.38    , W ) }.
% 0.78/1.38  { ! alpha38( X, Y, Z, T, U, W, V0 ), alpha42( X, Y, Z, T, U, W, V0 ) }.
% 0.78/1.38  { ! alpha38( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.78/1.38  { ! alpha42( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha38( X, Y, Z, T, U
% 0.78/1.38    , W, V0 ) }.
% 0.78/1.38  { ! alpha42( X, Y, Z, T, U, W, V0 ), alpha33( X, Y, Z, U, W, V0 ) }.
% 0.78/1.38  { ! alpha42( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.78/1.38  { ! alpha42( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.78/1.38  { ! alpha33( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha42( X, Y, Z
% 0.78/1.38    , T, U, W, V0 ) }.
% 0.78/1.38  { ! alpha33( X, Y, Z, T, U, W ), alpha39( X, Y, Z, T, U, W ) }.
% 0.78/1.38  { ! alpha33( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.78/1.38  { ! alpha39( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ), 
% 0.78/1.38    alpha33( X, Y, Z, T, U, W ) }.
% 0.78/1.38  { ! alpha39( X, Y, Z, T, U, W ), alpha43( X, Y, Z, T, U, W ) }.
% 0.78/1.38  { ! alpha39( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.78/1.38  { ! alpha43( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ), 
% 0.78/1.38    alpha39( X, Y, Z, T, U, W ) }.
% 0.78/1.38  { ! alpha43( X, Y, Z, T, U, W ), alpha45( X, Y, Z, T, U, W ) }.
% 0.78/1.38  { ! alpha43( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.78/1.38  { ! alpha45( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ), 
% 0.78/1.38    alpha43( X, Y, Z, T, U, W ) }.
% 0.78/1.38  { ! alpha45( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.78/1.38  { ! alpha45( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.78/1.38  { ! alpha45( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.78/1.38  { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf( 
% 0.78/1.38    W, U ), alpha45( X, Y, Z, T, U, W ) }.
% 0.78/1.38  { ! alpha9( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.78/1.38  { ! alpha9( X, Y, Z, T ), ron( T, X ) }.
% 0.78/1.38  { rR( Y, T, Z ), ! ron( T, X ), alpha9( X, Y, Z, T ) }.
% 0.78/1.38  { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ), 
% 0.78/1.38    ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1, 
% 0.78/1.38    ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T = 
% 0.78/1.38    V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.78/1.38     X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.78/1.38  { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.78/1.38    , X ), X = Y }.
% 0.78/1.38  { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.78/1.38     U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.78/1.38  { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.78/1.38    , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, ! 
% 0.78/1.38    rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.78/1.38  { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.78/1.38    ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, ! 
% 0.78/1.38    rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.78/1.38  { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.78/1.38    ( X, Y ) }.
% 0.78/1.38  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.78/1.38    rpoint( skol15( U, W ) ) }.
% 0.78/1.38  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.78/1.38    ron( skol15( U, Y ), Y ) }.
% 0.78/1.38  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.78/1.38    ron( skol15( X, Y ), X ) }.
% 0.78/1.38  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol16( U
% 0.78/1.38    , W ) ) }.
% 0.78/1.38  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol16( U
% 0.78/1.38    , Y ) ) }.
% 0.78/1.38  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol16
% 0.78/1.38    ( X, Y ) ) }.
% 0.78/1.38  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.38    vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.78/1.38  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.38    vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.78/1.38  { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.78/1.38    ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.78/1.38     ) }.
% 0.78/1.38  { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W, 
% 0.78/1.38    ! rpoint( W ), ! ron( X, Y ) }.
% 0.78/1.38  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint( 
% 0.78/1.38    skol17( U, W ) ) }.
% 0.78/1.38  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol17
% 0.78/1.38    ( U, Y ) = Y }.
% 0.78/1.38  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron( 
% 0.78/1.38    skol17( X, Y ), X ) }.
% 0.78/1.38  { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X 
% 0.78/1.38    = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! 
% 0.78/1.38    rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.78/1.38    , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.78/1.38  { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X 
% 0.78/1.38    = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! 
% 0.78/1.38    rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.78/1.38    , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.78/1.38  { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.78/1.38    ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.78/1.38  { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.78/1.38    , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = 
% 0.78/1.38    V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.78/1.38  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.78/1.38    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.78/1.38    rcircle( V1 ), rpoint( skol18( V2, V3, V4, V5 ) ) }.
% 0.78/1.38  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.78/1.38    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.78/1.38    rcircle( V1 ), ron( skol18( X, V2, V3, V4 ), X ) }.
% 0.78/1.38  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.78/1.38    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.78/1.38    rcircle( V1 ), alpha10( Y, Z, T, skol18( X, Y, Z, T ) ) }.
% 0.78/1.38  { ! alpha10( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.78/1.38  { ! alpha10( X, Y, Z, T ), ron( T, X ) }.
% 0.78/1.38  { ! rR( Y, T, Z ), ! ron( T, X ), alpha10( X, Y, Z, T ) }.
% 0.78/1.38  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.78/1.38    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.78/1.38    ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol19( V2, V3, V4, V5 ) ) }.
% 0.78/1.38  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.78/1.38    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.78/1.38    ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol19( V2, Y, V3, V4 ), Y ) }.
% 0.78/1.38  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.78/1.38    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.78/1.38    ( V0 ), ! X = V1, ! rcircle( V1 ), alpha11( X, Z, T, skol19( X, Y, Z, T )
% 0.78/1.38     ) }.
% 0.78/1.38  { ! alpha11( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.78/1.38  { ! alpha11( X, Y, Z, T ), ron( T, X ) }.
% 0.78/1.38  { ! rR( T, Y, Z ), ! ron( T, X ), alpha11( X, Y, Z, T ) }.
% 0.78/1.38  { ! rcenter( X, Y ), rcircle( skol20( Z, T ) ) }.
% 0.78/1.38  { ! rcenter( X, Y ), Y = skol20( Z, Y ) }.
% 0.78/1.38  { ! rcenter( X, Y ), alpha12( X ) }.
% 0.78/1.38  { ! alpha12( X ), rpoint( skol21( Y ) ) }.
% 0.78/1.38  { ! alpha12( X ), X = skol21( X ) }.
% 0.78/1.38  { ! X = Y, ! rpoint( Y ), alpha12( X ) }.
% 0.78/1.38  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.38    rgeq( vg( X, Y, Z ), v0 ) }.
% 0.78/1.38  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.78/1.38     ) }.
% 0.78/1.38  { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.78/1.38  { v0 = vd684 }.
% 0.78/1.38  { rreal( vd684 ) }.
% 0.78/1.38  { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.78/1.38  { ! X = Y, ! rcircle( Y ), rpoint( skol22( Z ) ) }.
% 0.78/1.38  { ! X = Y, ! rcircle( Y ), ron( skol22( X ), X ) }.
% 0.78/1.38  { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, ! 
% 0.78/1.38    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.78/1.38    , Y, Z ) = v0, ron( Z, T ) }.
% 0.78/1.38  { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, ! 
% 0.78/1.38    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.78/1.38    , T ), vg( X, Y, Z ) = v0 }.
% 0.78/1.38  { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint( 
% 0.78/1.38    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.78/1.38    rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T ) 
% 0.78/1.38    = vperp }.
% 0.78/1.38  { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint( 
% 0.78/1.38    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.78/1.38    rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.78/1.38    , Z, Y ) }.
% 0.78/1.38  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.78/1.38    .
% 0.78/1.38  { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.78/1.38     rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.78/1.38  { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.78/1.38    ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.78/1.38  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.78/1.38    ( Y, X ) }.
% 0.78/1.38  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol23( U, W ) ) }.
% 0.78/1.38  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol23( X, 
% 0.78/1.38    Y ) }.
% 0.78/1.38  { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, ! 
% 0.78/1.38    rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.78/1.38  { rS( Y, Z, skol24( Y, Z ) ), alpha13( X, Z ), ! ron( Y, X ), ! U = T, ! 
% 0.78/1.38    rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.78/1.38    , ! rpoint( V1 ), rintersect( skol52( X ), X ) }.
% 0.78/1.38  { rS( Y, Z, skol24( Y, Z ) ), alpha13( X, Z ), ! rinside( Y, X ), ! U = T, 
% 0.78/1.38    ! rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = 
% 0.78/1.38    V1, ! rpoint( V1 ), rintersect( skol52( X ), X ) }.
% 0.78/1.38  { ! alpha13( X, Y ), ! ron( Y, X ) }.
% 0.78/1.38  { ! alpha13( X, Y ), ! rinside( Y, X ) }.
% 0.78/1.38  { ron( Y, X ), rinside( Y, X ), alpha13( X, Y ) }.
% 0.78/1.38  { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.78/1.38     ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ), 
% 0.78/1.38    rintersect( X, Y ) }.
% 0.78/1.38  { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ), 
% 0.78/1.38    ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.78/1.38    , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! 
% 0.78/1.38    rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, ! 
% 0.78/1.38    rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.78/1.38  { ! rR( T, Z, X ), rinside( T, Y ), alpha14( Y, Z ), ! Y = U, ! rcircle( U
% 0.78/1.38     ), ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint
% 0.78/1.38    ( V1 ), ! ron( X, Y ) }.
% 0.78/1.38  { ! rR( T, Z, X ), rinside( T, Y ), alpha14( Y, Z ), ! Y = U, ! rcircle( U
% 0.78/1.38     ), ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint
% 0.78/1.38    ( V1 ), ! ron( X, Y ) }.
% 0.78/1.38  { ! alpha14( X, Y ), ! ron( Y, X ) }.
% 0.78/1.38  { ! alpha14( X, Y ), ! rinside( Y, X ) }.
% 0.78/1.38  { ron( Y, X ), rinside( Y, X ), alpha14( X, Y ) }.
% 0.78/1.38  { ! rR( X, Z, T ), alpha15( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U )
% 0.78/1.38    , ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( 
% 0.78/1.38    V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.78/1.38  { ! rR( X, Z, T ), alpha15( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle( 
% 0.78/1.38    U ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.78/1.38    ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.78/1.38  { ! alpha15( X, Y ), ! ron( Y, X ) }.
% 0.78/1.38  { ! alpha15( X, Y ), ! rinside( Y, X ) }.
% 0.78/1.38  { ron( Y, X ), rinside( Y, X ), alpha15( X, Y ) }.
% 0.78/1.38  { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), ! 
% 0.78/1.38    ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline( 
% 0.78/1.38    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.78/1.38    rpoint( V3 ), rR( X, Y, Z ) }.
% 0.78/1.38  { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), ! 
% 0.78/1.38    ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.78/1.38     ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.78/1.38     V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline( 
% 0.78/1.38    V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.78/1.38  { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.78/1.38    ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.78/1.38     W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.78/1.38     ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.78/1.38    ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.78/1.38  { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.78/1.38    , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.78/1.38    ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, ! 
% 0.78/1.38    rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.78/1.38    , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.78/1.38  { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.78/1.38    , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X 
% 0.78/1.38    = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.78/1.38    rpoint( V3 ), rR( Y, X, Z ) }.
% 0.78/1.38  { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.78/1.38     W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.78/1.38    ( X, Y, Z ) }.
% 0.78/1.38  { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, ! 
% 0.78/1.38    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.78/1.38    , Z ) }.
% 0.78/1.38  { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.78/1.38     ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.78/1.38    ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.78/1.38  { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, ! 
% 0.78/1.38    rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.78/1.38    , Z ) }.
% 0.78/1.38  { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.78/1.38     }.
% 0.78/1.38  { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, ! 
% 0.78/1.38    rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.78/1.38    , Y, Z ) }.
% 0.78/1.38  { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, ! 
% 0.78/1.38    rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.78/1.38    , Y ) }.
% 0.78/1.38  { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.78/1.38  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.78/1.38    alpha27( X, Y, skol25( X, Y ), skol53( X, Y ) ) }.
% 0.78/1.38  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.78/1.38    rpoint( skol25( X, Y ) ) }.
% 0.78/1.38  { ! alpha27( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha27( X, Y, Z, T ), ron( Z, Y ) }.
% 0.78/1.38  { ! alpha34( X, Y, Z, T ), ! ron( Z, Y ), alpha27( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha34( X, Y, Z, T ), alpha40( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha34( X, Y, Z, T ), ron( Z, X ) }.
% 0.78/1.38  { ! alpha40( X, Y, Z, T ), ! ron( Z, X ), alpha34( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha40( X, Y, Z, T ), alpha16( X, Z, T ) }.
% 0.78/1.38  { ! alpha40( X, Y, Z, T ), ron( T, Y ) }.
% 0.78/1.38  { ! alpha40( X, Y, Z, T ), rpoint( T ) }.
% 0.78/1.38  { ! alpha16( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha40( X, Y, Z, T )
% 0.78/1.38     }.
% 0.78/1.38  { ! alpha16( X, Y, Z ), ! Y = Z }.
% 0.78/1.38  { ! alpha16( X, Y, Z ), ron( Z, X ) }.
% 0.78/1.38  { Y = Z, ! ron( Z, X ), alpha16( X, Y, Z ) }.
% 0.78/1.38  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.78/1.38    rpoint( skol26( U, W ) ) }.
% 0.78/1.38  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.78/1.38    ( skol26( U, Y ), Y ) }.
% 0.78/1.38  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.78/1.38    ( skol26( X, Y ), X ) }.
% 0.78/1.38  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), 
% 0.78/1.38    rpoint( skol27( U, W ) ) }.
% 0.78/1.38  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron( 
% 0.78/1.38    skol27( U, Y ), Y ) }.
% 0.78/1.38  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron( 
% 0.78/1.38    skol27( X, Y ), X ) }.
% 0.78/1.38  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.78/1.38    skol28( U, W ) ) }.
% 0.78/1.38  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol28
% 0.78/1.38    ( X, Y ), Y, X ) }.
% 0.78/1.38  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.78/1.38    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.78/1.38    rpoint( skol29( V2, V3, V4, V5 ) ) }.
% 0.78/1.38  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.78/1.38    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.78/1.38    rS( skol29( X, Y, V2, V3 ), Y, X ) }.
% 0.78/1.38  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.78/1.38    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.78/1.38    alpha28( Y, Z, T, skol29( X, Y, Z, T ) ) }.
% 0.78/1.38  { ! alpha28( X, Y, Z, T ), alpha17( Y, Z, T ) }.
% 0.78/1.38  { ! alpha28( X, Y, Z, T ), ! T = X }.
% 0.78/1.38  { ! alpha17( Y, Z, T ), T = X, alpha28( X, Y, Z, T ) }.
% 0.78/1.38  { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.78/1.38  { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.78/1.38  { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.78/1.38  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.78/1.38    T ), ! X = W, ! rline( W ), rpoint( skol30( V0, V1, V2 ) ) }.
% 0.78/1.38  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.78/1.38    T ), ! X = W, ! rline( W ), alpha18( Y, Z, skol30( V0, Y, Z ) ) }.
% 0.78/1.38  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.78/1.38    T ), ! X = W, ! rline( W ), rS( skol30( X, Y, Z ), Y, X ) }.
% 0.78/1.38  { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.78/1.38  { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.78/1.38  { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.78/1.38  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.78/1.38    skol31( U, W ) ) }.
% 0.78/1.38  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol31( U, 
% 0.78/1.38    Y ) = Y }.
% 0.78/1.38  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol31( X
% 0.78/1.38    , Y ), Y, X ) }.
% 0.78/1.38  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.78/1.38    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.78/1.38    rpoint( skol32( V2, V3, V4 ) ) }.
% 0.78/1.38  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.78/1.38    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.78/1.38    ! skol32( V2, V3, Z ) = Z }.
% 0.78/1.38  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.78/1.38    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.78/1.38    rR( Y, X, skol32( X, Y, Z ) ) }.
% 0.78/1.38  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.78/1.38    rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol33( V0, V1 ) ) }.
% 0.78/1.38  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.78/1.38    rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol33( X, Y ) ) }.
% 0.78/1.38  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.78/1.38    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.78/1.38    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint( 
% 0.78/1.38    skol34( V4, V5, V6, V7 ) ) }.
% 0.78/1.38  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.78/1.38    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.78/1.38    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha19
% 0.78/1.38    ( Z, T, skol34( V4, V5, Z, T ) ) }.
% 0.78/1.38  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.78/1.38    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.78/1.38    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR( 
% 0.78/1.38    skol34( X, Y, Z, T ), X, Y ) }.
% 0.78/1.38  { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.78/1.38  { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.78/1.38  { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.78/1.38  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.78/1.38    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.78/1.38    rpoint( skol35( V2, V3, V4 ) ) }.
% 0.78/1.38  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.78/1.38    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.78/1.38    ! skol35( V2, V3, Z ) = Z }.
% 0.78/1.38  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.78/1.39    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.78/1.39    rR( skol35( X, Y, Z ), X, Y ) }.
% 0.78/1.39  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.78/1.39    rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol36( V0, V1 ) ) }.
% 0.78/1.39  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.78/1.39    rpoint( U ), ! Z = W, ! rline( W ), rR( skol36( X, Y ), X, Y ) }.
% 0.78/1.39  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.78/1.39    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.78/1.39    rpoint( skol37( V2, V3, V4 ) ) }.
% 0.78/1.39  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.78/1.39    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.78/1.39    ron( skol37( X, V2, V3 ), X ) }.
% 0.78/1.39  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.78/1.39    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.78/1.39    alpha20( Y, Z, skol37( X, Y, Z ) ) }.
% 0.78/1.39  { ! alpha20( X, Y, Z ), ! Z = Y }.
% 0.78/1.39  { ! alpha20( X, Y, Z ), ! Z = X }.
% 0.78/1.39  { Z = Y, Z = X, alpha20( X, Y, Z ) }.
% 0.78/1.39  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.78/1.39    U ), ! X = W, ! rline( W ), rpoint( skol38( V0, V1, V2 ) ) }.
% 0.78/1.39  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.78/1.39    U ), ! X = W, ! rline( W ), ron( skol38( X, V0, V1 ), X ) }.
% 0.78/1.39  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.78/1.39    U ), ! X = W, ! rline( W ), alpha21( Y, Z, skol38( X, Y, Z ) ) }.
% 0.78/1.39  { ! alpha21( X, Y, Z ), ! Z = Y }.
% 0.78/1.39  { ! alpha21( X, Y, Z ), ! Z = X }.
% 0.78/1.39  { Z = Y, Z = X, alpha21( X, Y, Z ) }.
% 0.78/1.39  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.78/1.39    skol39( U, W ) ) }.
% 0.78/1.39  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol39( U
% 0.78/1.39    , Y ) = Y }.
% 0.78/1.39  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol39
% 0.78/1.39    ( X, Y ), X ) }.
% 0.78/1.39  { ! X = Y, ! rline( Y ), rpoint( skol40( Z ) ) }.
% 0.78/1.39  { ! X = Y, ! rline( Y ), ron( skol40( X ), X ) }.
% 0.78/1.39  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.78/1.39    , ! X = V1, ! rpoint( V1 ), rpoint( skol41( V2, V3, V4, V5 ) ) }.
% 0.78/1.39  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.78/1.39    , ! X = V1, ! rpoint( V1 ), ! skol41( X, V2, V3, V4 ) = X }.
% 0.78/1.39  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.78/1.39    , ! X = V1, ! rpoint( V1 ), alpha29( Y, Z, T, skol41( X, Y, Z, T ) ) }.
% 0.78/1.39  { ! alpha29( X, Y, Z, T ), alpha22( Y, Z, T ) }.
% 0.78/1.39  { ! alpha29( X, Y, Z, T ), ! T = X }.
% 0.78/1.39  { ! alpha22( Y, Z, T ), T = X, alpha29( X, Y, Z, T ) }.
% 0.78/1.39  { ! alpha22( X, Y, Z ), ! Z = Y }.
% 0.78/1.39  { ! alpha22( X, Y, Z ), ! Z = X }.
% 0.78/1.39  { Z = Y, Z = X, alpha22( X, Y, Z ) }.
% 0.78/1.39  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.39    rpoint( skol42( V0, V1, V2 ) ) }.
% 0.78/1.39  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.78/1.39     skol42( X, V0, V1 ) = X }.
% 0.78/1.39  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.39    alpha23( Y, Z, skol42( X, Y, Z ) ) }.
% 0.78/1.39  { ! alpha23( X, Y, Z ), ! Z = Y }.
% 0.78/1.39  { ! alpha23( X, Y, Z ), ! Z = X }.
% 0.78/1.39  { Z = Y, Z = X, alpha23( X, Y, Z ) }.
% 0.78/1.39  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol43( U, W ) )
% 0.78/1.39     }.
% 0.78/1.39  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol43( U, Y ) = Y }.
% 0.78/1.39  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol43( X, Y ) = X }.
% 0.78/1.39  { ! X = Y, ! rpoint( Y ), rpoint( skol44( Z ) ) }.
% 0.78/1.39  { ! X = Y, ! rpoint( Y ), ! skol44( X ) = X }.
% 0.78/1.39  { rpoint( vd14 ) }.
% 0.78/1.39  { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha41( X, Y, Z ) }.
% 0.78/1.39  { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha35( X ) }.
% 0.78/1.39  { ! alpha41( X, Y, Z ), alpha44( X, Y, Z ) }.
% 0.78/1.39  { ! alpha41( X, Y, Z ), alpha30( Y ) }.
% 0.78/1.39  { ! alpha44( X, Y, Z ), ! alpha30( Y ), alpha41( X, Y, Z ) }.
% 0.78/1.39  { ! alpha44( X, Y, Z ), alpha46( X, Y, Z ) }.
% 0.78/1.39  { ! alpha44( X, Y, Z ), alpha24( Z ) }.
% 0.78/1.39  { ! alpha46( X, Y, Z ), ! alpha24( Z ), alpha44( X, Y, Z ) }.
% 0.78/1.39  { ! alpha46( X, Y, Z ), ! Y = Z }.
% 0.78/1.39  { ! alpha46( X, Y, Z ), ! X = Z }.
% 0.78/1.39  { ! alpha46( X, Y, Z ), ! X = Y }.
% 0.78/1.39  { Y = Z, X = Z, X = Y, alpha46( X, Y, Z ) }.
% 0.78/1.39  { ! alpha35( X ), rpoint( skol45( Y ) ) }.
% 0.78/1.39  { ! alpha35( X ), X = skol45( X ) }.
% 0.78/1.39  { ! X = Y, ! rpoint( Y ), alpha35( X ) }.
% 0.78/1.39  { ! alpha30( X ), rpoint( skol46( Y ) ) }.
% 0.78/1.39  { ! alpha30( X ), X = skol46( X ) }.
% 0.78/1.39  { ! X = Y, ! rpoint( Y ), alpha30( X ) }.
% 0.78/1.39  { ! alpha24( X ), rpoint( skol47( Y ) ) }.
% 0.78/1.39  { ! alpha24( X ), X = skol47( X ) }.
% 0.78/1.39  { ! X = Y, ! rpoint( Y ), alpha24( X ) }.
% 0.78/1.39  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.78/1.39  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.39    rreal( skol48( V0, V1, V2 ) ) }.
% 0.78/1.39  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.39    vg( X, Y, Z ) = skol48( X, Y, Z ) }.
% 0.78/1.39  { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp, 
% 0.78/1.39    vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), ! 
% 0.78/1.39    ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, ! 
% 0.78/1.39    rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5, 
% 0.78/1.39    ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U 
% 0.78/1.39    = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y, 
% 0.78/1.39    Z ), rS( Y, X, T ) }.
% 0.78/1.39  { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp, 
% 0.78/1.39    vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), ! 
% 0.78/1.39    ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, ! 
% 0.78/1.39    rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5, 
% 0.78/1.39    ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U 
% 0.78/1.39    = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.78/1.39  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.39    rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.78/1.39  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.78/1.39    rleq( v0, vangle( X, Y, Z ) ) }.
% 0.78/1.39  
% 0.78/1.39  *** allocated 15000 integers for clauses
% 0.78/1.39  *** allocated 22500 integers for clauses
% 0.78/1.39  percentage equality = 0.396143, percentage horn = 0.720317
% 0.78/1.39  This is a problem with some equality
% 0.78/1.39  
% 0.78/1.39  
% 0.78/1.39  
% 0.78/1.39  Options Used:
% 0.78/1.39  
% 0.78/1.39  useres =            1
% 0.78/1.39  useparamod =        1
% 0.78/1.39  useeqrefl =         1
% 0.78/1.39  useeqfact =         1
% 0.78/1.39  usefactor =         1
% 0.78/1.39  usesimpsplitting =  0
% 0.78/1.39  usesimpdemod =      5
% 0.78/1.39  usesimpres =        3
% 0.78/1.39  
% 0.78/1.39  resimpinuse      =  1000
% 0.78/1.39  resimpclauses =     20000
% 0.78/1.39  substype =          eqrewr
% 0.78/1.39  backwardsubs =      1
% 0.78/1.39  selectoldest =      5
% 0.78/1.39  
% 0.78/1.39  litorderings [0] =  split
% 0.78/1.39  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.78/1.39  
% 0.78/1.39  termordering =      kbo
% 0.78/1.39  
% 0.78/1.39  litapriori =        0
% 0.78/1.39  termapriori =       1
% 0.78/1.39  litaposteriori =    0
% 0.78/1.39  termaposteriori =   0
% 0.78/1.39  demodaposteriori =  0
% 0.78/1.39  ordereqreflfact =   0
% 0.78/1.39  
% 0.78/1.39  litselect =         negord
% 0.78/1.39  
% 0.78/1.39  maxweight =         15
% 0.78/1.39  maxdepth =          30000
% 0.78/1.39  maxlength =         115
% 0.78/1.39  maxnrvars =         195
% 0.78/1.39  excuselevel =       1
% 0.78/1.39  increasemaxweight = 1
% 0.78/1.39  
% 0.78/1.39  maxselected =       10000000
% 0.78/1.39  maxnrclauses =      10000000
% 0.78/1.39  
% 0.78/1.39  showgenerated =    0
% 0.78/1.39  showkept =         0
% 0.78/1.39  showselected =     0
% 0.78/1.39  showdeleted =      0
% 0.78/1.39  showresimp =       1
% 0.78/1.39  showstatus =       2000
% 0.78/1.39  
% 0.78/1.39  prologoutput =     0
% 0.78/1.39  nrgoals =          5000000
% 0.78/1.39  totalproof =       1
% 0.78/1.39  
% 0.78/1.39  Symbols occurring in the translation:
% 0.78/1.39  
% 0.78/1.39  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.78/1.39  .  [1, 2]      (w:1, o:824, a:1, s:1, b:0), 
% 0.78/1.39  !  [4, 1]      (w:0, o:800, a:1, s:1, b:0), 
% 0.78/1.39  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.78/1.39  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.78/1.39  vd1409  [35, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.78/1.39  vd1401  [36, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.78/1.39  vd1400  [37, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.78/1.39  vangle  [38, 3]      (w:1, o:880, a:1, s:1, b:0), 
% 0.78/1.39  vd1399  [39, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.78/1.39  rless  [40, 2]      (w:1, o:848, a:1, s:1, b:0), 
% 0.78/1.39  vplus  [41, 2]      (w:1, o:849, a:1, s:1, b:0), 
% 0.78/1.39  vd1418  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.78/1.39  vskolem1419  [43, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.78/1.39  ron  [45, 2]      (w:1, o:850, a:1, s:1, b:0), 
% 0.78/1.39  rline  [46, 1]      (w:1, o:805, a:1, s:1, b:0), 
% 0.78/1.39  rpoint  [56, 1]      (w:1, o:806, a:1, s:1, b:0), 
% 0.78/1.39  rS  [60, 3]      (w:1, o:882, a:1, s:1, b:0), 
% 0.78/1.39  vd1406  [61, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.78/1.39  vd1407  [62, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.78/1.39  vd1415  [74, 0]      (w:1, o:644, a:1, s:1, b:0), 
% 0.78/1.39  vskolem1416  [75, 0]      (w:1, o:645, a:1, s:1, b:0), 
% 1.77/2.15  rR  [84, 3]      (w:1, o:881, a:1, s:1, b:0), 
% 1.77/2.15  v0  [85, 0]      (w:1, o:646, a:1, s:1, b:0), 
% 1.77/2.15  vf  [91, 2]      (w:1, o:851, a:1, s:1, b:0), 
% 1.77/2.15  rcenter  [106, 2]      (w:1, o:852, a:1, s:1, b:0), 
% 1.77/2.15  rinside  [109, 2]      (w:1, o:853, a:1, s:1, b:0), 
% 1.77/2.15  rintersect  [142, 2]      (w:1, o:854, a:1, s:1, b:0), 
% 1.77/2.15  rcircle  [144, 1]      (w:1, o:807, a:1, s:1, b:0), 
% 1.77/2.15  vskolem1120  [155, 8]      (w:1, o:946, a:1, s:1, b:0), 
% 1.77/2.15  vskolem1078  [172, 4]      (w:1, o:913, a:1, s:1, b:0), 
% 1.77/2.15  vskolem1052  [187, 4]      (w:1, o:914, a:1, s:1, b:0), 
% 1.77/2.15  rreal  [214, 1]      (w:1, o:808, a:1, s:1, b:0), 
% 1.77/2.15  vg  [257, 3]      (w:1, o:883, a:1, s:1, b:0), 
% 1.77/2.15  rgeq  [441, 2]      (w:1, o:855, a:1, s:1, b:0), 
% 1.77/2.15  vd684  [448, 0]      (w:1, o:791, a:1, s:1, b:0), 
% 1.77/2.15  vperp  [472, 0]      (w:1, o:792, a:1, s:1, b:0), 
% 1.77/2.15  rleq  [477, 2]      (w:1, o:856, a:1, s:1, b:0), 
% 1.77/2.15  vd14  [805, 0]      (w:1, o:795, a:1, s:1, b:0), 
% 1.77/2.15  vtriangle  [810, 3]      (w:1, o:884, a:1, s:1, b:0), 
% 1.77/2.15  rtriangle  [811, 1]      (w:1, o:809, a:1, s:1, b:0), 
% 1.77/2.15  alpha1  [848, 3]      (w:1, o:885, a:1, s:1, b:1), 
% 1.77/2.15  alpha2  [849, 3]      (w:1, o:890, a:1, s:1, b:1), 
% 1.77/2.15  alpha3  [850, 3]      (w:1, o:895, a:1, s:1, b:1), 
% 1.77/2.15  alpha4  [851, 4]      (w:1, o:918, a:1, s:1, b:1), 
% 1.77/2.15  alpha5  [852, 4]      (w:1, o:920, a:1, s:1, b:1), 
% 1.77/2.15  alpha6  [853, 3]      (w:1, o:896, a:1, s:1, b:1), 
% 1.77/2.15  alpha7  [854, 3]      (w:1, o:897, a:1, s:1, b:1), 
% 1.77/2.15  alpha8  [855, 3]      (w:1, o:898, a:1, s:1, b:1), 
% 1.77/2.15  alpha9  [856, 4]      (w:1, o:921, a:1, s:1, b:1), 
% 1.77/2.15  alpha10  [857, 4]      (w:1, o:922, a:1, s:1, b:1), 
% 1.77/2.15  alpha11  [858, 4]      (w:1, o:923, a:1, s:1, b:1), 
% 1.77/2.15  alpha12  [859, 1]      (w:1, o:810, a:1, s:1, b:1), 
% 1.77/2.15  alpha13  [860, 2]      (w:1, o:857, a:1, s:1, b:1), 
% 1.77/2.15  alpha14  [861, 2]      (w:1, o:858, a:1, s:1, b:1), 
% 1.77/2.15  alpha15  [862, 2]      (w:1, o:859, a:1, s:1, b:1), 
% 1.77/2.15  alpha16  [863, 3]      (w:1, o:886, a:1, s:1, b:1), 
% 1.77/2.15  alpha17  [864, 3]      (w:1, o:887, a:1, s:1, b:1), 
% 1.77/2.15  alpha18  [865, 3]      (w:1, o:888, a:1, s:1, b:1), 
% 1.77/2.15  alpha19  [866, 3]      (w:1, o:889, a:1, s:1, b:1), 
% 1.77/2.15  alpha20  [867, 3]      (w:1, o:891, a:1, s:1, b:1), 
% 1.77/2.15  alpha21  [868, 3]      (w:1, o:892, a:1, s:1, b:1), 
% 1.77/2.15  alpha22  [869, 3]      (w:1, o:893, a:1, s:1, b:1), 
% 1.77/2.15  alpha23  [870, 3]      (w:1, o:894, a:1, s:1, b:1), 
% 1.77/2.15  alpha24  [871, 1]      (w:1, o:811, a:1, s:1, b:1), 
% 1.77/2.15  alpha25  [872, 4]      (w:1, o:924, a:1, s:1, b:1), 
% 1.77/2.15  alpha26  [873, 6]      (w:1, o:935, a:1, s:1, b:1), 
% 1.77/2.15  alpha27  [874, 4]      (w:1, o:925, a:1, s:1, b:1), 
% 1.77/2.15  alpha28  [875, 4]      (w:1, o:926, a:1, s:1, b:1), 
% 1.77/2.15  alpha29  [876, 4]      (w:1, o:927, a:1, s:1, b:1), 
% 1.77/2.15  alpha30  [877, 1]      (w:1, o:812, a:1, s:1, b:1), 
% 1.77/2.15  alpha31  [878, 4]      (w:1, o:915, a:1, s:1, b:1), 
% 1.77/2.15  alpha32  [879, 7]      (w:1, o:941, a:1, s:1, b:1), 
% 1.77/2.15  alpha33  [880, 6]      (w:1, o:936, a:1, s:1, b:1), 
% 1.77/2.15  alpha34  [881, 4]      (w:1, o:916, a:1, s:1, b:1), 
% 1.77/2.15  alpha35  [882, 1]      (w:1, o:813, a:1, s:1, b:1), 
% 1.77/2.15  alpha36  [883, 4]      (w:1, o:917, a:1, s:1, b:1), 
% 1.77/2.15  alpha37  [884, 10]      (w:1, o:947, a:1, s:1, b:1), 
% 1.77/2.15  alpha38  [885, 7]      (w:1, o:942, a:1, s:1, b:1), 
% 1.77/2.15  alpha39  [886, 6]      (w:1, o:937, a:1, s:1, b:1), 
% 1.77/2.15  alpha40  [887, 4]      (w:1, o:919, a:1, s:1, b:1), 
% 1.77/2.15  alpha41  [888, 3]      (w:1, o:899, a:1, s:1, b:1), 
% 1.77/2.15  alpha42  [889, 7]      (w:1, o:943, a:1, s:1, b:1), 
% 1.77/2.15  alpha43  [890, 6]      (w:1, o:938, a:1, s:1, b:1), 
% 1.77/2.15  alpha44  [891, 3]      (w:1, o:900, a:1, s:1, b:1), 
% 1.77/2.15  alpha45  [892, 6]      (w:1, o:939, a:1, s:1, b:1), 
% 1.77/2.15  alpha46  [893, 3]      (w:1, o:901, a:1, s:1, b:1), 
% 1.77/2.15  skol1  [894, 0]      (w:1, o:797, a:1, s:1, b:1), 
% 1.77/2.15  skol2  [895, 2]      (w:1, o:865, a:1, s:1, b:1), 
% 1.77/2.15  skol3  [896, 3]      (w:1, o:902, a:1, s:1, b:1), 
% 1.77/2.15  skol4  [897, 3]      (w:1, o:908, a:1, s:1, b:1), 
% 1.77/2.15  skol5  [898, 3]      (w:1, o:911, a:1, s:1, b:1), 
% 1.77/2.15  skol6  [899, 4]      (w:1, o:928, a:1, s:1, b:1), 
% 1.77/2.15  skol7  [900, 1]      (w:1, o:814, a:1, s:1, b:1), 
% 1.77/2.15  skol8  [901, 4]      (w:1, o:929, a:1, s:1, b:1), 
% 1.77/2.15  skol9  [902, 1]      (w:1, o:815, a:1, s:1, b:1), 
% 1.77/2.15  skol10  [903, 2]      (w:1, o:860, a:1, s:1, b:1), 
% 1.77/2.15  skol11  [904, 2]      (w:1, o:861, a:1, s:1, b:1), 
% 1.77/2.15  skol12  [905, 3]      (w:1, o:912, a:1, s:1, b:1), 
% 1.77/2.15  skol13  [906, 7]      (w:1, o:944, a:1, s:1, b:1), 
% 1.77/2.15  skol14  [907, 6]      (w:1, o:940, a:1, s:1, b:1), 
% 1.77/2.15  skol15  [908, 2]      (w:1, o:862, a:1, s:1, b:1), 
% 1.77/2.15  skol16  [909, 2]      (w:1, o:863, a:1, s:1, b:1), 
% 1.77/2.15  skol17  [910, 2]      (w:1, o:864, a:1, s:1, b:1), 
% 1.77/2.15  skol18  [911, 4]      (w:1, o:930, a:1, s:1, b:1), 
% 1.77/2.15  skol19  [912, 4]      (w:1, o:931, a:1, s:1, b:1), 
% 1.77/2.15  skol20  [913, 2]      (w:1, o:866, a:1, s:1, b:1), 
% 1.77/2.15  skol21  [914, 1]      (w:1, o:816, a:1, s:1, b:1), 
% 1.77/2.15  skol22  [915, 1]      (w:1, o:817, a:1, s:1, b:1), 
% 1.77/2.15  skol23  [916, 2]      (w:1, o:867, a:1, s:1, b:1), 
% 1.77/2.15  skol24  [917, 2]      (w:1, o:868, a:1, s:1, b:1), 
% 1.77/2.15  skol25  [918, 2]      (w:1, o:869, a:1, s:1, b:1), 
% 1.77/2.15  skol26  [919, 2]      (w:1, o:870, a:1, s:1, b:1), 
% 1.77/2.15  skol27  [920, 2]      (w:1, o:871, a:1, s:1, b:1), 
% 1.77/2.15  skol28  [921, 2]      (w:1, o:872, a:1, s:1, b:1), 
% 1.77/2.15  skol29  [922, 4]      (w:1, o:932, a:1, s:1, b:1), 
% 1.77/2.15  skol30  [923, 3]      (w:1, o:903, a:1, s:1, b:1), 
% 1.77/2.15  skol31  [924, 2]      (w:1, o:873, a:1, s:1, b:1), 
% 1.77/2.15  skol32  [925, 3]      (w:1, o:904, a:1, s:1, b:1), 
% 1.77/2.15  skol33  [926, 2]      (w:1, o:874, a:1, s:1, b:1), 
% 1.77/2.15  skol34  [927, 4]      (w:1, o:933, a:1, s:1, b:1), 
% 1.77/2.15  skol35  [928, 3]      (w:1, o:905, a:1, s:1, b:1), 
% 1.77/2.15  skol36  [929, 2]      (w:1, o:875, a:1, s:1, b:1), 
% 1.77/2.15  skol37  [930, 3]      (w:1, o:906, a:1, s:1, b:1), 
% 1.77/2.15  skol38  [931, 3]      (w:1, o:907, a:1, s:1, b:1), 
% 1.77/2.15  skol39  [932, 2]      (w:1, o:876, a:1, s:1, b:1), 
% 1.77/2.15  skol40  [933, 1]      (w:1, o:818, a:1, s:1, b:1), 
% 1.77/2.15  skol41  [934, 4]      (w:1, o:934, a:1, s:1, b:1), 
% 1.77/2.15  skol42  [935, 3]      (w:1, o:909, a:1, s:1, b:1), 
% 1.77/2.15  skol43  [936, 2]      (w:1, o:877, a:1, s:1, b:1), 
% 1.77/2.15  skol44  [937, 1]      (w:1, o:819, a:1, s:1, b:1), 
% 1.77/2.15  skol45  [938, 1]      (w:1, o:820, a:1, s:1, b:1), 
% 1.77/2.15  skol46  [939, 1]      (w:1, o:821, a:1, s:1, b:1), 
% 1.77/2.15  skol47  [940, 1]      (w:1, o:822, a:1, s:1, b:1), 
% 1.77/2.15  skol48  [941, 3]      (w:1, o:910, a:1, s:1, b:1), 
% 1.77/2.15  skol49  [942, 0]      (w:1, o:798, a:1, s:1, b:1), 
% 1.77/2.15  skol50  [943, 2]      (w:1, o:878, a:1, s:1, b:1), 
% 1.77/2.15  skol51  [944, 7]      (w:1, o:945, a:1, s:1, b:1), 
% 1.77/2.15  skol52  [945, 1]      (w:1, o:823, a:1, s:1, b:1), 
% 1.77/2.15  skol53  [946, 2]      (w:1, o:879, a:1, s:1, b:1), 
% 1.77/2.15  skol54  [947, 0]      (w:1, o:799, a:1, s:1, b:1).
% 1.77/2.15  
% 1.77/2.15  
% 1.77/2.15  Starting Search:
% 1.77/2.15  
% 1.77/2.15  *** allocated 33750 integers for clauses
% 1.77/2.15  *** allocated 50625 integers for clauses
% 1.77/2.15  *** allocated 75937 integers for termspace/termends
% 1.77/2.15  *** allocated 113905 integers for termspace/termends
% 1.77/2.15  *** allocated 75937 integers for clauses
% 1.77/2.15  *** allocated 113905 integers for clauses
% 1.77/2.15  *** allocated 170857 integers for termspace/termends
% 1.77/2.15  matchinglists is full
% 1.77/2.15  
% 1.77/2.15  Memory use:
% 1.77/2.15  
% 1.77/2.15  space for terms:        119844
% 1.77/2.15  space for clauses:      82399
% 1.77/2.15  
% 1.77/2.15  
% 1.77/2.15  clauses generated:      60086
% 1.77/2.15  clauses kept:           1597
% 1.77/2.15  clauses selected:       0
% 1.77/2.15  clauses deleted:        0
% 1.77/2.15  clauses inuse deleted:  0
% 1.77/2.15  
% 1.77/2.15  subsentry:          29910
% 1.77/2.15  literals s-matched: 16761
% 1.77/2.15  literals matched:   13959
% 1.77/2.15  full subsumption:   13858
% 1.77/2.15  
% 1.77/2.15  checksum:           -564739781
% 1.77/2.15  
% 1.77/2.15  
% 1.77/2.15  Bliksem ended
%------------------------------------------------------------------------------