TSTP Solution File: GEO331+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 02:53:45 EDT 2022

% Result   : Unknown 2.25s 2.64s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO331+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sat Jun 18 15:58:54 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.81/1.41  *** allocated 10000 integers for termspace/termends
% 0.81/1.41  *** allocated 10000 integers for clauses
% 0.81/1.41  *** allocated 10000 integers for justifications
% 0.81/1.41  Bliksem 1.12
% 0.81/1.41  
% 0.81/1.41  
% 0.81/1.41  Automatic Strategy Selection
% 0.81/1.41  
% 0.81/1.41  *** allocated 15000 integers for termspace/termends
% 0.81/1.41  *** allocated 22500 integers for termspace/termends
% 0.81/1.41  *** allocated 33750 integers for termspace/termends
% 0.81/1.41  *** allocated 50625 integers for termspace/termends
% 0.81/1.41  
% 0.81/1.41  Clauses:
% 0.81/1.41  
% 0.81/1.41  { ! vf( vd1352, vd1353 ) = vf( vd1352, vd1354 ) }.
% 0.81/1.41  { vangle( vd1352, vd1353, vd1354 ) = vangle( vd1352, vd1354, vd1353 ) }.
% 0.81/1.41  { ! vd1353 = vd1354 }.
% 0.81/1.41  { ! vd1352 = vd1354 }.
% 0.81/1.41  { ! vd1352 = vd1353 }.
% 0.81/1.41  { vd1354 = skol1 }.
% 0.81/1.41  { rpoint( skol1 ) }.
% 0.81/1.41  { vd1353 = skol2 }.
% 0.81/1.41  { rpoint( skol2 ) }.
% 0.81/1.41  { vd1352 = skol3 }.
% 0.81/1.41  { rpoint( skol3 ) }.
% 0.81/1.41  { ! vangle( X, Y, Z ) = vangle( X, Z, Y ), Y = Z, X = Z, X = Y, ! Z = T, ! 
% 0.81/1.41    rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), vf( X, Y ) =
% 0.81/1.41     vf( X, Z ), rless( vf( X, Y ), vf( X, Z ) ), rless( vf( X, Z ), vf( X, Y
% 0.81/1.41     ) ) }.
% 0.81/1.41  { ! vangle( X, Y, Z ) = vangle( X, Z, Y ), Y = Z, X = Z, X = Y, ! Z = T, ! 
% 0.81/1.41    rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), vf( X, Y ) =
% 0.81/1.41     vf( X, Z ), ! rless( vf( X, Y ), vf( X, Z ) ) }.
% 0.81/1.41  { ! vangle( X, Y, Z ) = vangle( X, Z, Y ), Y = Z, X = Z, X = Y, ! Z = T, ! 
% 0.81/1.41    rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), vf( X, Y ) =
% 0.81/1.41     vf( X, Z ), ! rless( vf( X, Z ), vf( X, Y ) ) }.
% 0.81/1.41  { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.81/1.41     Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V2, ! V1 = V3, ! rR
% 0.81/1.41    ( Z, X, V1 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V2 ), vangle( Z
% 0.81/1.41    , Y, V0 ) = vangle( Y, Z, V1 ) }.
% 0.81/1.41  { ! vf( X, Y ) = vf( X, Z ), Y = Z, X = Z, X = Y, ! Z = T, ! rpoint( T ), !
% 0.81/1.41     Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), ! V0 = V1, ! V2 = V3, ! rR
% 0.81/1.41    ( Z, X, V2 ), ! rpoint( V3 ), ! rR( Y, X, V0 ), ! rpoint( V1 ), vangle( X
% 0.81/1.41    , Y, Z ) = vangle( X, Z, Y ) }.
% 0.81/1.41  { rline( skol4( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.81/1.41    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint( 
% 0.81/1.41    V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.81/1.41     = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, ! 
% 0.81/1.41    rpoint( V8 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.81/1.41  { ron( T, skol4( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.81/1.41    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint( 
% 0.81/1.41    V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.81/1.41     = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, ! 
% 0.81/1.41    rpoint( V7 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.81/1.41  { alpha1( U, W, skol4( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.81/1.41    , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.81/1.41    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z, 
% 0.81/1.41    X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = 
% 0.81/1.41    V5, ! rpoint( V5 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.81/1.41  { ! alpha1( X, Y, Z ), ron( Y, Z ) }.
% 0.81/1.41  { ! alpha1( X, Y, Z ), ron( X, Z ) }.
% 0.81/1.41  { ! ron( Y, Z ), ! ron( X, Z ), alpha1( X, Y, Z ) }.
% 0.81/1.41  { rline( skol5( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.81/1.41    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint( 
% 0.81/1.41    V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.81/1.41     = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, ! 
% 0.81/1.41    rpoint( V8 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.81/1.41  { ron( T, skol5( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.81/1.41    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint( 
% 0.81/1.41    V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.81/1.41     = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, ! 
% 0.81/1.41    rpoint( V7 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.81/1.41  { alpha2( U, W, skol5( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.81/1.41    , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.81/1.41    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z, 
% 0.81/1.41    X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = 
% 0.81/1.41    V5, ! rpoint( V5 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.81/1.41  { ! alpha2( X, Y, Z ), ron( Y, Z ) }.
% 0.81/1.41  { ! alpha2( X, Y, Z ), ron( X, Z ) }.
% 0.81/1.41  { ! ron( Y, Z ), ! ron( X, Z ), alpha2( X, Y, Z ) }.
% 0.81/1.41  { rline( skol6( W, V0, V1 ) ), ! vangle( X, V2, Y ) = vangle( Z, U, T ), ! 
% 0.81/1.41    vf( V2, Y ) = vf( U, T ), ! vf( V2, X ) = vf( U, Z ), ! T = V3, ! rpoint
% 0.81/1.41    ( V3 ), ! Z = V4, ! rpoint( V4 ), ! U = V5, ! rpoint( V5 ), X = Y, V2 = Y
% 0.81/1.41    , V2 = X, ! Y = V6, ! rpoint( V6 ), ! X = V7, ! rpoint( V7 ), ! V2 = V8, 
% 0.81/1.41    ! rpoint( V8 ), vf( X, Y ) = vf( Z, T ) }.
% 0.81/1.41  { ron( U, skol6( W, V0, U ) ), ! vangle( X, V1, Y ) = vangle( Z, U, T ), ! 
% 0.81/1.41    vf( V1, Y ) = vf( U, T ), ! vf( V1, X ) = vf( U, Z ), ! T = V2, ! rpoint
% 0.81/1.41    ( V2 ), ! Z = V3, ! rpoint( V3 ), ! U = V4, ! rpoint( V4 ), X = Y, V1 = Y
% 0.81/1.41    , V1 = X, ! Y = V5, ! rpoint( V5 ), ! X = V6, ! rpoint( V6 ), ! V1 = V7, 
% 0.81/1.41    ! rpoint( V7 ), vf( X, Y ) = vf( Z, T ) }.
% 0.81/1.41  { alpha3( Z, T, skol6( Z, T, U ) ), ! vangle( X, W, Y ) = vangle( Z, U, T )
% 0.81/1.41    , ! vf( W, Y ) = vf( U, T ), ! vf( W, X ) = vf( U, Z ), ! T = V0, ! 
% 0.81/1.41    rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! U = V2, ! rpoint( V2 ), X = Y, 
% 0.81/1.41    W = Y, W = X, ! Y = V3, ! rpoint( V3 ), ! X = V4, ! rpoint( V4 ), ! W = 
% 0.81/1.41    V5, ! rpoint( V5 ), vf( X, Y ) = vf( Z, T ) }.
% 0.81/1.41  { ! alpha3( X, Y, Z ), ron( Y, Z ) }.
% 0.81/1.41  { ! alpha3( X, Y, Z ), ron( X, Z ) }.
% 0.81/1.41  { ! ron( Y, Z ), ! ron( X, Z ), alpha3( X, Y, Z ) }.
% 0.81/1.41  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.81/1.41    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.81/1.41    Y ), vf( X, vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) = vf( U, V0 ) }.
% 0.81/1.41  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.81/1.41    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.81/1.41    Y ), rR( vskolem1120( X, Y, Z, T, U, W, V0, V1 ), X, Z ) }.
% 0.81/1.41  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.81/1.41    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.81/1.41    Y ), rpoint( vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) }.
% 0.81/1.41  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.81/1.41    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.81/1.41    ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.81/1.41  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.81/1.41    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! 
% 0.81/1.41    vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.81/1.41  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.81/1.41    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! 
% 0.81/1.41    vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.81/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.81/1.41    .
% 0.81/1.41  { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W, 
% 0.81/1.41    ! rpoint( W ), ! ron( X, Y ) }.
% 0.81/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U 
% 0.81/1.41    = X, ! rpoint( W ), vf( X, Y ) = vf( U, vskolem1078( U, W, X, Y ) ) }.
% 0.81/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U 
% 0.81/1.41    = X, ! rpoint( W ), rpoint( vskolem1078( U, W, X, Y ) ) }.
% 0.81/1.41  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.41     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.81/1.41    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.41    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus( 
% 0.81/1.41    vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.81/1.41  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.41     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.81/1.41    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.41    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus( 
% 0.81/1.41    vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.81/1.41  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.81/1.41     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.81/1.41    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.81/1.41    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T, 
% 0.81/1.41    W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.81/1.41    .
% 0.81/1.41  { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.81/1.41    rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.81/1.41  { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.81/1.41    rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.81/1.41  { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, ! 
% 0.81/1.41    rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.81/1.41  { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, ! 
% 0.81/1.41    rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.81/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.81/1.41     }.
% 0.81/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.81/1.41     }.
% 0.81/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol7( U, W ) ) }
% 0.81/1.41    .
% 0.81/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol7( X, Y
% 0.81/1.41     ) }.
% 0.81/1.41  { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.81/1.41  { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.81/1.41    , X ), X = Y }.
% 0.81/1.41  { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.81/1.41     U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.81/1.41  { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.81/1.41    , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, ! 
% 0.81/1.41    rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.81/1.41  { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.81/1.41    ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, ! 
% 0.81/1.41    rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.81/1.41  { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.81/1.41    , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = 
% 0.81/1.41    V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.81/1.41  { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, ! 
% 0.81/1.41    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.81/1.41    , Z ) }.
% 0.81/1.41  { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.81/1.41     = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ), 
% 0.81/1.41    ron( X, Y ) }.
% 0.81/1.41  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.41    , ! rpoint( W ), alpha4( X, Y, Z ) }.
% 0.81/1.41  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.41    , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.81/1.41  { ! alpha4( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.81/1.41  { ! alpha4( X, Y, Z ), ! X = Z }.
% 0.81/1.41  { ! alpha4( X, Y, Z ), ! X = Y }.
% 0.81/1.41  { rR( X, Y, Z ), X = Z, X = Y, alpha4( X, Y, Z ) }.
% 0.81/1.41  { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.81/1.41    ( X, Y ) }.
% 0.81/1.41  { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, ! 
% 0.81/1.41    rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.81/1.41     V1, ! rpoint( V1 ), X = Y }.
% 0.81/1.41  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.81/1.41    alpha25( X, Y, skol8( X, Y ), skol51( X, Y ) ) }.
% 0.81/1.41  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.81/1.41    rpoint( skol8( X, Y ) ) }.
% 0.81/1.41  { ! alpha25( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha25( X, Y, Z, T ), ron( Z, X ) }.
% 0.81/1.41  { ! alpha31( X, Y, Z, T ), ! ron( Z, X ), alpha25( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha31( X, Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha31( X, Y, Z, T ), ron( Z, Y ) }.
% 0.81/1.41  { ! alpha36( X, Y, Z, T ), ! ron( Z, Y ), alpha31( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha36( X, Y, Z, T ), alpha5( Y, Z, T ) }.
% 0.81/1.41  { ! alpha36( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.41  { ! alpha36( X, Y, Z, T ), rpoint( T ) }.
% 0.81/1.41  { ! alpha5( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha36( X, Y, Z, T )
% 0.81/1.41     }.
% 0.81/1.41  { ! alpha5( X, Y, Z ), ! Y = Z }.
% 0.81/1.41  { ! alpha5( X, Y, Z ), ron( Z, X ) }.
% 0.81/1.41  { Y = Z, ! ron( Z, X ), alpha5( X, Y, Z ) }.
% 0.81/1.41  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.81/1.41    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.41    ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol9( V2, V3, V4, V5 ) ) }.
% 0.81/1.41  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.81/1.41    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.41    ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol9( V2, Y, V3, V4 ), Y ) }.
% 0.81/1.41  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.81/1.41    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.81/1.41    ( V0 ), ! X = V1, ! rcircle( V1 ), alpha6( X, Z, T, skol9( X, Y, Z, T ) )
% 0.81/1.41     }.
% 0.81/1.41  { ! alpha6( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.81/1.41  { ! alpha6( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.41  { ! rR( T, Y, Z ), ! ron( T, X ), alpha6( X, Y, Z, T ) }.
% 0.81/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol10( U
% 0.81/1.41    , W ) ) }.
% 0.81/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol10( U
% 0.81/1.41    , Y ) ) }.
% 0.81/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol10
% 0.81/1.41    ( X, Y ) ) }.
% 0.81/1.41  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 0.81/1.41    ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 0.81/1.41  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 0.81/1.41    , vskolem1052( X, Y, Z, T ) ) }.
% 0.81/1.41  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint( 
% 0.81/1.41    vskolem1052( X, Y, Z, T ) ) }.
% 0.81/1.41  { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.81/1.41    ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.81/1.41  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.81/1.41     ) }.
% 0.81/1.41  { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.81/1.41  { v0 = vd684 }.
% 0.81/1.41  { rreal( vd684 ) }.
% 0.81/1.41  { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.81/1.41     = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ), 
% 0.81/1.41    ron( X, Y ) }.
% 0.81/1.41  { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ), 
% 0.81/1.41    ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1, 
% 0.81/1.41    ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T = 
% 0.81/1.41    V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.81/1.41     X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.81/1.41  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.81/1.41    , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.81/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol11( U, 
% 0.81/1.41    W ) ) }.
% 0.81/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol11( U
% 0.81/1.41    , Y ) ) }.
% 0.81/1.41  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol11( X
% 0.81/1.41    , Y ) ) }.
% 0.81/1.41  { ! rcenter( X, Y ), rcircle( skol12( Z, T ) ) }.
% 0.81/1.41  { ! rcenter( X, Y ), Y = skol12( Z, Y ) }.
% 0.81/1.41  { ! rcenter( X, Y ), alpha7( X ) }.
% 0.81/1.41  { ! alpha7( X ), rpoint( skol13( Y ) ) }.
% 0.81/1.41  { ! alpha7( X ), X = skol13( X ) }.
% 0.81/1.41  { ! X = Y, ! rpoint( Y ), alpha7( X ) }.
% 0.81/1.41  { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.81/1.41    rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.81/1.41  { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.81/1.41     rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.81/1.41  { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.81/1.41    ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.81/1.41  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.81/1.41    ( Y, X ) }.
% 0.81/1.41  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol14( U, W ) ) }.
% 0.81/1.41  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol14( X, 
% 0.81/1.41    Y ) }.
% 0.81/1.41  { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, ! 
% 0.81/1.41    rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.81/1.41  { rS( Y, Z, skol15( Y, Z ) ), alpha8( X, Z ), ! ron( Y, X ), ! U = T, ! 
% 0.81/1.41    rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.81/1.41    , ! rpoint( V1 ), rintersect( skol52( X ), X ) }.
% 0.81/1.41  { rS( Y, Z, skol15( Y, Z ) ), alpha8( X, Z ), ! rinside( Y, X ), ! U = T, !
% 0.81/1.41     rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = 
% 0.81/1.41    V1, ! rpoint( V1 ), rintersect( skol52( X ), X ) }.
% 0.81/1.41  { ! alpha8( X, Y ), ! ron( Y, X ) }.
% 0.81/1.41  { ! alpha8( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.41  { ron( Y, X ), rinside( Y, X ), alpha8( X, Y ) }.
% 0.81/1.41  { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.81/1.41     ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ), 
% 0.81/1.41    rintersect( X, Y ) }.
% 0.81/1.41  { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ), 
% 0.81/1.41    ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.81/1.41    , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! 
% 0.81/1.41    rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, ! 
% 0.81/1.41    rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.81/1.41  { ! rR( T, Z, X ), rinside( T, Y ), alpha9( Y, Z ), ! Y = U, ! rcircle( U )
% 0.81/1.41    , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( 
% 0.81/1.41    V1 ), ! ron( X, Y ) }.
% 0.81/1.41  { ! rR( T, Z, X ), rinside( T, Y ), alpha9( Y, Z ), ! Y = U, ! rcircle( U )
% 0.81/1.41    , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( 
% 0.81/1.41    V1 ), ! ron( X, Y ) }.
% 0.81/1.41  { ! alpha9( X, Y ), ! ron( Y, X ) }.
% 0.81/1.41  { ! alpha9( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.41  { ron( Y, X ), rinside( Y, X ), alpha9( X, Y ) }.
% 0.81/1.41  { ! rR( X, Z, T ), alpha10( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U )
% 0.81/1.41    , ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( 
% 0.81/1.41    V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.81/1.41  { ! rR( X, Z, T ), alpha10( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle( 
% 0.81/1.41    U ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.81/1.41    ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.81/1.41  { ! alpha10( X, Y ), ! ron( Y, X ) }.
% 0.81/1.41  { ! alpha10( X, Y ), ! rinside( Y, X ) }.
% 0.81/1.41  { ron( Y, X ), rinside( Y, X ), alpha10( X, Y ) }.
% 0.81/1.41  { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), ! 
% 0.81/1.41    ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline( 
% 0.81/1.41    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.81/1.41    rpoint( V3 ), rR( X, Y, Z ) }.
% 0.81/1.41  { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), ! 
% 0.81/1.41    ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.81/1.41     ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.81/1.41     V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline( 
% 0.81/1.41    V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.81/1.41  { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.81/1.41    ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.81/1.41     W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.81/1.41     ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.81/1.41    ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.81/1.41  { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.81/1.41    , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.81/1.41    ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, ! 
% 0.81/1.41    rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.81/1.41    , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.81/1.41  { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.81/1.41    , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X 
% 0.81/1.41    = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.81/1.41    rpoint( V3 ), rR( Y, X, Z ) }.
% 0.81/1.41  { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.81/1.41    ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.81/1.41     ) }.
% 0.81/1.41  { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.81/1.41     W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.81/1.41    ( X, Y, Z ) }.
% 0.81/1.41  { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, ! 
% 0.81/1.41    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.81/1.41    , Z ) }.
% 0.81/1.41  { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.81/1.41     ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.81/1.41    ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.81/1.41  { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, ! 
% 0.81/1.41    rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.81/1.41    , Z ) }.
% 0.81/1.41  { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W, 
% 0.81/1.41    ! rpoint( W ), rS( Y, X, Z ) }.
% 0.81/1.41  { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.81/1.41     }.
% 0.81/1.41  { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, ! 
% 0.81/1.41    rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.81/1.41    , Y, Z ) }.
% 0.81/1.41  { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, ! 
% 0.81/1.41    rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.81/1.41    , Y ) }.
% 0.81/1.41  { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.81/1.41  { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.81/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.81/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.81/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol16( V3, V4, V5, V6
% 0.81/1.41     ) ) }.
% 0.81/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.81/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.81/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol16( X, V3, V4, V5 ), X
% 0.81/1.41     ) }.
% 0.81/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.81/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.81/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha11( Y, Z, T, skol16( X, Y
% 0.81/1.41    , Z, T ) ) }.
% 0.81/1.41  { ! alpha11( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.81/1.41  { ! alpha11( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.41  { rS( T, Z, Y ), ! ron( T, X ), alpha11( X, Y, Z, T ) }.
% 0.81/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.81/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.81/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol17( V3, V4, V5, V6
% 0.81/1.41     ) ) }.
% 0.81/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.81/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.81/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol17( X, V3, V4, V5 ), X
% 0.81/1.41     ) }.
% 0.81/1.41  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.81/1.41    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.81/1.41    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha12( Y, Z, T, skol17( X, Y
% 0.81/1.41    , Z, T ) ) }.
% 0.81/1.41  { ! alpha12( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.81/1.41  { ! alpha12( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.41  { ! rS( T, Z, Y ), ! ron( T, X ), alpha12( X, Y, Z, T ) }.
% 0.81/1.41  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.81/1.41    rpoint( skol18( U, W ) ) }.
% 0.81/1.41  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.81/1.41    ron( skol18( U, Y ), Y ) }.
% 0.81/1.41  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.81/1.41    ron( skol18( X, Y ), X ) }.
% 0.81/1.41  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.41    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.81/1.41    rcircle( V1 ), rpoint( skol19( V2, V3, V4, V5 ) ) }.
% 0.81/1.41  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.41    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.81/1.41    rcircle( V1 ), ron( skol19( X, V2, V3, V4 ), X ) }.
% 0.81/1.41  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.81/1.41    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.81/1.41    rcircle( V1 ), alpha13( Y, Z, T, skol19( X, Y, Z, T ) ) }.
% 0.81/1.41  { ! alpha13( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.81/1.41  { ! alpha13( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.41  { ! rR( Y, T, Z ), ! ron( T, X ), alpha13( X, Y, Z, T ) }.
% 0.81/1.41  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.81/1.41    alpha26( X, Y, skol20( X, Y ), skol53( X, Y ) ) }.
% 0.81/1.41  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.81/1.41    rpoint( skol20( X, Y ) ) }.
% 0.81/1.41  { ! alpha26( X, Y, Z, T ), alpha32( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha26( X, Y, Z, T ), ron( Z, Y ) }.
% 0.81/1.41  { ! alpha32( X, Y, Z, T ), ! ron( Z, Y ), alpha26( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha32( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha32( X, Y, Z, T ), ron( Z, X ) }.
% 0.81/1.41  { ! alpha37( X, Y, Z, T ), ! ron( Z, X ), alpha32( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha37( X, Y, Z, T ), alpha14( X, Z, T ) }.
% 0.81/1.41  { ! alpha37( X, Y, Z, T ), ron( T, Y ) }.
% 0.81/1.41  { ! alpha37( X, Y, Z, T ), rpoint( T ) }.
% 0.81/1.41  { ! alpha14( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha37( X, Y, Z, T )
% 0.81/1.41     }.
% 0.81/1.41  { ! alpha14( X, Y, Z ), ! Y = Z }.
% 0.81/1.41  { ! alpha14( X, Y, Z ), ron( Z, X ) }.
% 0.81/1.41  { Y = Z, ! ron( Z, X ), alpha14( X, Y, Z ) }.
% 0.81/1.41  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.81/1.41    rpoint( skol21( U, W ) ) }.
% 0.81/1.41  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.81/1.41    ( skol21( U, Y ), Y ) }.
% 0.81/1.41  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.81/1.41    ( skol21( X, Y ), X ) }.
% 0.81/1.41  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), 
% 0.81/1.41    rpoint( skol22( U, W ) ) }.
% 0.81/1.41  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron( 
% 0.81/1.41    skol22( U, Y ), Y ) }.
% 0.81/1.41  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron( 
% 0.81/1.41    skol22( X, Y ), X ) }.
% 0.81/1.41  { ! X = Y, ! rcircle( Y ), rpoint( skol23( Z ) ) }.
% 0.81/1.41  { ! X = Y, ! rcircle( Y ), ! rinside( skol23( X ), X ) }.
% 0.81/1.41  { ! X = Y, ! rcircle( Y ), ! ron( skol23( X ), X ) }.
% 0.81/1.41  { ! X = Y, ! rcircle( Y ), rpoint( skol24( Z ) ) }.
% 0.81/1.41  { ! X = Y, ! rcircle( Y ), rinside( skol24( X ), X ) }.
% 0.81/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.81/1.41    U ), ! X = W, ! rcircle( W ), rpoint( skol25( V0, V1, V2 ) ) }.
% 0.81/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.81/1.41    U ), ! X = W, ! rcircle( W ), ron( skol25( X, V0, V1 ), X ) }.
% 0.81/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.81/1.41    U ), ! X = W, ! rcircle( W ), alpha15( Y, Z, skol25( X, Y, Z ) ) }.
% 0.81/1.41  { ! alpha15( X, Y, Z ), ! Z = Y }.
% 0.81/1.41  { ! alpha15( X, Y, Z ), ! Z = X }.
% 0.81/1.41  { Z = Y, Z = X, alpha15( X, Y, Z ) }.
% 0.81/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint( 
% 0.81/1.41    skol26( U, W ) ) }.
% 0.81/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol26
% 0.81/1.41    ( U, Y ) = Y }.
% 0.81/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron( 
% 0.81/1.41    skol26( X, Y ), X ) }.
% 0.81/1.41  { ! X = Y, ! rcircle( Y ), rpoint( skol27( Z ) ) }.
% 0.81/1.41  { ! X = Y, ! rcircle( Y ), ron( skol27( X ), X ) }.
% 0.81/1.41  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.81/1.41    skol28( U, W ) ) }.
% 0.81/1.41  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol28
% 0.81/1.41    ( X, Y ), Y, X ) }.
% 0.81/1.41  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.81/1.41    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.81/1.41    rpoint( skol29( V2, V3, V4, V5 ) ) }.
% 0.81/1.41  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.81/1.41    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.81/1.41    rS( skol29( X, Y, V2, V3 ), Y, X ) }.
% 0.81/1.41  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.81/1.41    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.81/1.41    alpha27( Y, Z, T, skol29( X, Y, Z, T ) ) }.
% 0.81/1.41  { ! alpha27( X, Y, Z, T ), alpha16( Y, Z, T ) }.
% 0.81/1.41  { ! alpha27( X, Y, Z, T ), ! T = X }.
% 0.81/1.41  { ! alpha16( Y, Z, T ), T = X, alpha27( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha16( X, Y, Z ), ! Z = Y }.
% 0.81/1.41  { ! alpha16( X, Y, Z ), ! Z = X }.
% 0.81/1.41  { Z = Y, Z = X, alpha16( X, Y, Z ) }.
% 0.81/1.41  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.81/1.41    T ), ! X = W, ! rline( W ), rpoint( skol30( V0, V1, V2 ) ) }.
% 0.81/1.41  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.81/1.41    T ), ! X = W, ! rline( W ), alpha17( Y, Z, skol30( V0, Y, Z ) ) }.
% 0.81/1.41  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.81/1.41    T ), ! X = W, ! rline( W ), rS( skol30( X, Y, Z ), Y, X ) }.
% 0.81/1.41  { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.81/1.41  { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.81/1.41  { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.81/1.41  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.81/1.41    skol31( U, W ) ) }.
% 0.81/1.41  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol31( U, 
% 0.81/1.41    Y ) = Y }.
% 0.81/1.41  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol31( X
% 0.81/1.41    , Y ), Y, X ) }.
% 0.81/1.41  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.81/1.41    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.81/1.41    rpoint( skol32( V2, V3, V4 ) ) }.
% 0.81/1.41  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.81/1.41    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.81/1.41    ! skol32( V2, V3, Z ) = Z }.
% 0.81/1.41  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.81/1.41    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.81/1.41    rR( Y, X, skol32( X, Y, Z ) ) }.
% 0.81/1.41  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.81/1.41    rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol33( V0, V1 ) ) }.
% 0.81/1.41  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.81/1.41    rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol33( X, Y ) ) }.
% 0.81/1.41  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.41    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.81/1.41    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint( 
% 0.81/1.41    skol34( V4, V5, V6, V7 ) ) }.
% 0.81/1.41  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.41    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.81/1.41    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha18
% 0.81/1.41    ( Z, T, skol34( V4, V5, Z, T ) ) }.
% 0.81/1.41  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.81/1.41    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.81/1.41    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR( 
% 0.81/1.41    skol34( X, Y, Z, T ), X, Y ) }.
% 0.81/1.41  { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.81/1.41  { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.81/1.41  { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.81/1.41  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.81/1.41    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.81/1.41    rpoint( skol35( V2, V3, V4 ) ) }.
% 0.81/1.41  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.81/1.41    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.81/1.41    ! skol35( V2, V3, Z ) = Z }.
% 0.81/1.41  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.81/1.41    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.81/1.41    rR( skol35( X, Y, Z ), X, Y ) }.
% 0.81/1.41  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.81/1.41    rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol36( V0, V1 ) ) }.
% 0.81/1.41  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.81/1.41    rpoint( U ), ! Z = W, ! rline( W ), rR( skol36( X, Y ), X, Y ) }.
% 0.81/1.41  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.81/1.41    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.81/1.41    rpoint( skol37( V2, V3, V4 ) ) }.
% 0.81/1.41  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.81/1.41    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.81/1.41    ron( skol37( X, V2, V3 ), X ) }.
% 0.81/1.41  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.81/1.41    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.81/1.41    alpha19( Y, Z, skol37( X, Y, Z ) ) }.
% 0.81/1.41  { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.81/1.41  { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.81/1.41  { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.81/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.81/1.41    U ), ! X = W, ! rline( W ), rpoint( skol38( V0, V1, V2 ) ) }.
% 0.81/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.81/1.41    U ), ! X = W, ! rline( W ), ron( skol38( X, V0, V1 ), X ) }.
% 0.81/1.41  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.81/1.41    U ), ! X = W, ! rline( W ), alpha20( Y, Z, skol38( X, Y, Z ) ) }.
% 0.81/1.41  { ! alpha20( X, Y, Z ), ! Z = Y }.
% 0.81/1.41  { ! alpha20( X, Y, Z ), ! Z = X }.
% 0.81/1.41  { Z = Y, Z = X, alpha20( X, Y, Z ) }.
% 0.81/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.81/1.41    skol39( U, W ) ) }.
% 0.81/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol39( U
% 0.81/1.41    , Y ) = Y }.
% 0.81/1.41  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol39
% 0.81/1.41    ( X, Y ), X ) }.
% 0.81/1.41  { ! X = Y, ! rline( Y ), rpoint( skol40( Z ) ) }.
% 0.81/1.41  { ! X = Y, ! rline( Y ), ron( skol40( X ), X ) }.
% 0.81/1.41  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.41    , ! X = V1, ! rpoint( V1 ), rpoint( skol41( V2, V3, V4, V5 ) ) }.
% 0.81/1.41  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.41    , ! X = V1, ! rpoint( V1 ), ! skol41( X, V2, V3, V4 ) = X }.
% 0.81/1.41  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.81/1.41    , ! X = V1, ! rpoint( V1 ), alpha28( Y, Z, T, skol41( X, Y, Z, T ) ) }.
% 0.81/1.41  { ! alpha28( X, Y, Z, T ), alpha21( Y, Z, T ) }.
% 0.81/1.41  { ! alpha28( X, Y, Z, T ), ! T = X }.
% 0.81/1.41  { ! alpha21( Y, Z, T ), T = X, alpha28( X, Y, Z, T ) }.
% 0.81/1.41  { ! alpha21( X, Y, Z ), ! Z = Y }.
% 0.81/1.41  { ! alpha21( X, Y, Z ), ! Z = X }.
% 0.81/1.41  { Z = Y, Z = X, alpha21( X, Y, Z ) }.
% 0.81/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.41    rpoint( skol42( V0, V1, V2 ) ) }.
% 0.81/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.81/1.41     skol42( X, V0, V1 ) = X }.
% 0.81/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.41    alpha22( Y, Z, skol42( X, Y, Z ) ) }.
% 0.81/1.41  { ! alpha22( X, Y, Z ), ! Z = Y }.
% 0.81/1.41  { ! alpha22( X, Y, Z ), ! Z = X }.
% 0.81/1.41  { Z = Y, Z = X, alpha22( X, Y, Z ) }.
% 0.81/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol43( U, W ) )
% 0.81/1.41     }.
% 0.81/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol43( U, Y ) = Y }.
% 0.81/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol43( X, Y ) = X }.
% 0.81/1.41  { ! X = Y, ! rpoint( Y ), rpoint( skol44( Z ) ) }.
% 0.81/1.41  { ! X = Y, ! rpoint( Y ), ! skol44( X ) = X }.
% 0.81/1.41  { rpoint( vd14 ) }.
% 0.81/1.41  { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha38( X, Y, Z ) }.
% 0.81/1.41  { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha33( X ) }.
% 0.81/1.41  { ! alpha38( X, Y, Z ), alpha42( X, Y, Z ) }.
% 0.81/1.41  { ! alpha38( X, Y, Z ), alpha29( Y ) }.
% 0.81/1.41  { ! alpha42( X, Y, Z ), ! alpha29( Y ), alpha38( X, Y, Z ) }.
% 0.81/1.41  { ! alpha42( X, Y, Z ), alpha45( X, Y, Z ) }.
% 0.81/1.41  { ! alpha42( X, Y, Z ), alpha23( Z ) }.
% 0.81/1.41  { ! alpha45( X, Y, Z ), ! alpha23( Z ), alpha42( X, Y, Z ) }.
% 0.81/1.41  { ! alpha45( X, Y, Z ), ! Y = Z }.
% 0.81/1.41  { ! alpha45( X, Y, Z ), ! X = Z }.
% 0.81/1.41  { ! alpha45( X, Y, Z ), ! X = Y }.
% 0.81/1.41  { Y = Z, X = Z, X = Y, alpha45( X, Y, Z ) }.
% 0.81/1.41  { ! alpha33( X ), rpoint( skol45( Y ) ) }.
% 0.81/1.41  { ! alpha33( X ), X = skol45( X ) }.
% 0.81/1.41  { ! X = Y, ! rpoint( Y ), alpha33( X ) }.
% 0.81/1.41  { ! alpha29( X ), rpoint( skol46( Y ) ) }.
% 0.81/1.41  { ! alpha29( X ), X = skol46( X ) }.
% 0.81/1.41  { ! X = Y, ! rpoint( Y ), alpha29( X ) }.
% 0.81/1.41  { ! alpha23( X ), rpoint( skol47( Y ) ) }.
% 0.81/1.41  { ! alpha23( X ), X = skol47( X ) }.
% 0.81/1.41  { ! X = Y, ! rpoint( Y ), alpha23( X ) }.
% 0.81/1.41  { ! V4 = V5, alpha34( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.81/1.41    ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.81/1.41    , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.81/1.41     rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.81/1.41     T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, ! 
% 0.81/1.41    rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ), 
% 0.81/1.41    ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 = 
% 0.81/1.41    V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), ! 
% 0.81/1.41    V6 = V27, ! rpoint( V27 ), alpha39( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.81/1.41    .
% 0.81/1.41  { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.81/1.41    ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.81/1.41     ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.81/1.41    , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.81/1.41     ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, ! 
% 0.81/1.41    rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! 
% 0.81/1.41    V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! 
% 0.81/1.41    rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! 
% 0.81/1.41    V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha39( X, Y, Z
% 0.81/1.41    , T, U, W, V0, V1, V2, V3 ) }.
% 0.81/1.41  { ! alpha39( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) = 
% 0.81/1.41    vangle( V1, V2, V3 ) }.
% 0.81/1.41  { ! alpha39( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.81/1.41    .
% 0.81/1.41  { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ), 
% 0.81/1.41    alpha39( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.81/1.41  { ! alpha34( X, Y, Z, T, U, W, V0 ), rS( skol48( X, V1, V2, V3, V4, V5, V0
% 0.81/1.41     ), V0, X ) }.
% 0.81/1.41  { ! alpha34( X, Y, Z, T, U, W, V0 ), alpha24( X, U, W, skol54( X, V1, V2, 
% 0.81/1.41    V3, U, W, V4 ) ) }.
% 0.81/1.41  { ! alpha34( X, Y, Z, T, U, W, V0 ), alpha30( Y, Z, T, U, skol48( X, Y, Z, 
% 0.81/1.41    T, U, W, V0 ), skol54( X, Y, Z, T, U, W, V0 ) ) }.
% 0.81/1.41  { ! rS( V1, V0, X ), ! alpha24( X, U, W, V2 ), ! alpha30( Y, Z, T, U, V1, 
% 0.81/1.41    V2 ), alpha34( X, Y, Z, T, U, W, V0 ) }.
% 0.81/1.41  { ! alpha30( X, Y, Z, T, U, W ), rpoint( skol49( V0, V1, V2, V3, V4, V5 ) )
% 0.81/1.41     }.
% 0.81/1.41  { ! alpha30( X, Y, Z, T, U, W ), alpha40( X, Y, Z, T, U, W, skol49( X, Y, Z
% 0.81/1.42    , T, U, W ) ) }.
% 0.81/1.42  { ! alpha40( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha30( X, Y, Z, T, U
% 0.81/1.42    , W ) }.
% 0.81/1.42  { ! alpha40( X, Y, Z, T, U, W, V0 ), alpha43( X, Y, Z, T, U, W, V0 ) }.
% 0.81/1.42  { ! alpha40( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.81/1.42  { ! alpha43( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha40( X, Y, Z, T, U
% 0.81/1.42    , W, V0 ) }.
% 0.81/1.42  { ! alpha43( X, Y, Z, T, U, W, V0 ), alpha35( X, Y, Z, U, W, V0 ) }.
% 0.81/1.42  { ! alpha43( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.81/1.42  { ! alpha43( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.81/1.42  { ! alpha35( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha43( X, Y, Z
% 0.81/1.42    , T, U, W, V0 ) }.
% 0.81/1.42  { ! alpha35( X, Y, Z, T, U, W ), alpha41( X, Y, Z, T, U, W ) }.
% 0.81/1.42  { ! alpha35( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.81/1.42  { ! alpha41( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ), 
% 0.81/1.42    alpha35( X, Y, Z, T, U, W ) }.
% 0.81/1.42  { ! alpha41( X, Y, Z, T, U, W ), alpha44( X, Y, Z, T, U, W ) }.
% 0.81/1.42  { ! alpha41( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.81/1.42  { ! alpha44( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ), 
% 0.81/1.42    alpha41( X, Y, Z, T, U, W ) }.
% 0.81/1.42  { ! alpha44( X, Y, Z, T, U, W ), alpha46( X, Y, Z, T, U, W ) }.
% 0.81/1.42  { ! alpha44( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.81/1.42  { ! alpha46( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ), 
% 0.81/1.42    alpha44( X, Y, Z, T, U, W ) }.
% 0.81/1.42  { ! alpha46( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.81/1.42  { ! alpha46( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.81/1.42  { ! alpha46( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.81/1.42  { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf( 
% 0.81/1.42    W, U ), alpha46( X, Y, Z, T, U, W ) }.
% 0.81/1.42  { ! alpha24( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.81/1.42  { ! alpha24( X, Y, Z, T ), ron( T, X ) }.
% 0.81/1.42  { rR( Y, T, Z ), ! ron( T, X ), alpha24( X, Y, Z, T ) }.
% 0.81/1.42  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.81/1.42    .
% 0.81/1.42  { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X 
% 0.81/1.42    = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! 
% 0.81/1.42    rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.81/1.42    , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.81/1.42  { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X 
% 0.81/1.42    = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! 
% 0.81/1.42    rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.81/1.42    , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.81/1.42  { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint( 
% 0.81/1.42    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.81/1.42    rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T ) 
% 0.81/1.42    = vperp }.
% 0.81/1.42  { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint( 
% 0.81/1.42    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.81/1.42    rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.81/1.42    , Z, Y ) }.
% 0.81/1.42  { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.81/1.42     ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), 
% 0.81/1.42    X = Y }.
% 0.81/1.42  { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.81/1.42    , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W, 
% 0.81/1.42    T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.81/1.42    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = 
% 0.81/1.42    V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), 
% 0.81/1.42    vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.81/1.42  { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, ! 
% 0.81/1.42    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.81/1.42    , Y, Z ) = v0, ron( Z, T ) }.
% 0.81/1.42  { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, ! 
% 0.81/1.42    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.81/1.42    , T ), vg( X, Y, Z ) = v0 }.
% 0.81/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.42    vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.81/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.42    vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.81/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.42    rreal( skol50( V0, V1, V2 ) ) }.
% 0.81/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.42    vg( X, Y, Z ) = skol50( X, Y, Z ) }.
% 0.81/1.42  { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp, 
% 0.81/1.42    vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), ! 
% 0.81/1.42    ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, ! 
% 0.81/1.42    rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5, 
% 0.81/1.42    ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U 
% 0.81/1.42    = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y, 
% 0.81/1.42    Z ), rS( Y, X, T ) }.
% 0.81/1.42  { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp, 
% 0.81/1.42    vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), ! 
% 0.81/1.42    ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, ! 
% 0.81/1.42    rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5, 
% 0.81/1.42    ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U 
% 0.81/1.42    = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.81/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.42    rgeq( vg( X, Y, Z ), v0 ) }.
% 0.81/1.42  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.81/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.42    rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.81/1.42  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.81/1.42    rleq( v0, vangle( X, Y, Z ) ) }.
% 0.81/1.42  
% 0.81/1.42  *** allocated 15000 integers for clauses
% 0.81/1.42  *** allocated 22500 integers for clauses
% 0.81/1.42  percentage equality = 0.399357, percentage horn = 0.700831
% 0.81/1.42  This is a problem with some equality
% 0.81/1.42  
% 0.81/1.42  
% 0.81/1.42  
% 0.81/1.42  Options Used:
% 0.81/1.42  
% 0.81/1.42  useres =            1
% 0.81/1.42  useparamod =        1
% 0.81/1.42  useeqrefl =         1
% 0.81/1.42  useeqfact =         1
% 0.81/1.42  usefactor =         1
% 0.81/1.42  usesimpsplitting =  0
% 0.81/1.42  usesimpdemod =      5
% 0.81/1.42  usesimpres =        3
% 0.81/1.42  
% 0.81/1.42  resimpinuse      =  1000
% 0.81/1.42  resimpclauses =     20000
% 0.81/1.42  substype =          eqrewr
% 0.81/1.42  backwardsubs =      1
% 0.81/1.42  selectoldest =      5
% 0.81/1.42  
% 0.81/1.42  litorderings [0] =  split
% 0.81/1.42  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.81/1.42  
% 0.81/1.42  termordering =      kbo
% 0.81/1.42  
% 0.81/1.42  litapriori =        0
% 0.81/1.42  termapriori =       1
% 0.81/1.42  litaposteriori =    0
% 0.81/1.42  termaposteriori =   0
% 0.81/1.42  demodaposteriori =  0
% 0.81/1.42  ordereqreflfact =   0
% 0.81/1.42  
% 0.81/1.42  litselect =         negord
% 0.81/1.42  
% 0.81/1.42  maxweight =         15
% 0.81/1.42  maxdepth =          30000
% 0.81/1.42  maxlength =         115
% 0.81/1.42  maxnrvars =         195
% 0.81/1.42  excuselevel =       1
% 0.81/1.42  increasemaxweight = 1
% 0.81/1.42  
% 0.81/1.42  maxselected =       10000000
% 0.81/1.42  maxnrclauses =      10000000
% 0.81/1.42  
% 0.81/1.42  showgenerated =    0
% 0.81/1.42  showkept =         0
% 0.81/1.42  showselected =     0
% 0.81/1.42  showdeleted =      0
% 0.81/1.42  showresimp =       1
% 0.81/1.42  showstatus =       2000
% 0.81/1.42  
% 0.81/1.42  prologoutput =     0
% 0.81/1.42  nrgoals =          5000000
% 0.81/1.42  totalproof =       1
% 0.81/1.42  
% 0.81/1.42  Symbols occurring in the translation:
% 0.81/1.42  
% 0.81/1.42  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.81/1.42  .  [1, 2]      (w:1, o:816, a:1, s:1, b:0), 
% 0.81/1.42  !  [4, 1]      (w:0, o:792, a:1, s:1, b:0), 
% 0.81/1.42  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.81/1.42  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.81/1.42  vd1352  [35, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.81/1.42  vd1353  [36, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.81/1.42  vf  [37, 2]      (w:1, o:840, a:1, s:1, b:0), 
% 0.81/1.42  vd1354  [38, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.81/1.42  vangle  [39, 3]      (w:1, o:872, a:1, s:1, b:0), 
% 0.81/1.42  rpoint  [41, 1]      (w:1, o:797, a:1, s:1, b:0), 
% 0.81/1.42  rless  [50, 2]      (w:1, o:841, a:1, s:1, b:0), 
% 0.81/1.42  rR  [61, 3]      (w:1, o:873, a:1, s:1, b:0), 
% 0.81/1.42  ron  [69, 2]      (w:1, o:842, a:1, s:1, b:0), 
% 0.81/1.42  rline  [70, 1]      (w:1, o:798, a:1, s:1, b:0), 
% 0.81/1.42  vskolem1120  [85, 8]      (w:1, o:938, a:1, s:1, b:0), 
% 0.81/1.42  v0  [94, 0]      (w:1, o:604, a:1, s:1, b:0), 
% 0.81/1.42  rS  [103, 3]      (w:1, o:874, a:1, s:1, b:0), 
% 0.81/1.42  vskolem1078  [112, 4]      (w:1, o:905, a:1, s:1, b:0), 
% 0.81/1.42  vplus  [125, 2]      (w:1, o:843, a:1, s:1, b:0), 
% 0.81/1.42  rcenter  [130, 2]      (w:1, o:844, a:1, s:1, b:0), 
% 0.81/1.42  rinside  [133, 2]      (w:1, o:845, a:1, s:1, b:0), 
% 0.81/1.42  rreal  [149, 1]      (w:1, o:799, a:1, s:1, b:0), 
% 0.81/1.42  rintersect  [162, 2]      (w:1, o:846, a:1, s:1, b:0), 
% 0.81/1.42  rcircle  [168, 1]      (w:1, o:800, a:1, s:1, b:0), 
% 0.81/1.42  vskolem1052  [238, 4]      (w:1, o:906, a:1, s:1, b:0), 
% 0.81/1.42  vd684  [251, 0]      (w:1, o:704, a:1, s:1, b:0), 
% 0.81/1.42  vd14  [693, 0]      (w:1, o:779, a:1, s:1, b:0), 
% 2.25/2.64  vtriangle  [698, 3]      (w:1, o:875, a:1, s:1, b:0), 
% 2.25/2.64  rtriangle  [699, 1]      (w:1, o:801, a:1, s:1, b:0), 
% 2.25/2.64  rleq  [744, 2]      (w:1, o:847, a:1, s:1, b:0), 
% 2.25/2.64  vg  [755, 3]      (w:1, o:876, a:1, s:1, b:0), 
% 2.25/2.64  vperp  [766, 0]      (w:1, o:788, a:1, s:1, b:0), 
% 2.25/2.64  rgeq  [829, 2]      (w:1, o:848, a:1, s:1, b:0), 
% 2.25/2.64  alpha1  [840, 3]      (w:1, o:877, a:1, s:1, b:1), 
% 2.25/2.64  alpha2  [841, 3]      (w:1, o:884, a:1, s:1, b:1), 
% 2.25/2.64  alpha3  [842, 3]      (w:1, o:888, a:1, s:1, b:1), 
% 2.25/2.64  alpha4  [843, 3]      (w:1, o:890, a:1, s:1, b:1), 
% 2.25/2.64  alpha5  [844, 3]      (w:1, o:893, a:1, s:1, b:1), 
% 2.25/2.64  alpha6  [845, 4]      (w:1, o:907, a:1, s:1, b:1), 
% 2.25/2.64  alpha7  [846, 1]      (w:1, o:802, a:1, s:1, b:1), 
% 2.25/2.64  alpha8  [847, 2]      (w:1, o:849, a:1, s:1, b:1), 
% 2.25/2.64  alpha9  [848, 2]      (w:1, o:850, a:1, s:1, b:1), 
% 2.25/2.64  alpha10  [849, 2]      (w:1, o:851, a:1, s:1, b:1), 
% 2.25/2.64  alpha11  [850, 4]      (w:1, o:908, a:1, s:1, b:1), 
% 2.25/2.64  alpha12  [851, 4]      (w:1, o:909, a:1, s:1, b:1), 
% 2.25/2.64  alpha13  [852, 4]      (w:1, o:910, a:1, s:1, b:1), 
% 2.25/2.64  alpha14  [853, 3]      (w:1, o:878, a:1, s:1, b:1), 
% 2.25/2.64  alpha15  [854, 3]      (w:1, o:879, a:1, s:1, b:1), 
% 2.25/2.64  alpha16  [855, 3]      (w:1, o:880, a:1, s:1, b:1), 
% 2.25/2.64  alpha17  [856, 3]      (w:1, o:881, a:1, s:1, b:1), 
% 2.25/2.64  alpha18  [857, 3]      (w:1, o:882, a:1, s:1, b:1), 
% 2.25/2.64  alpha19  [858, 3]      (w:1, o:883, a:1, s:1, b:1), 
% 2.25/2.64  alpha20  [859, 3]      (w:1, o:885, a:1, s:1, b:1), 
% 2.25/2.64  alpha21  [860, 3]      (w:1, o:886, a:1, s:1, b:1), 
% 2.25/2.64  alpha22  [861, 3]      (w:1, o:887, a:1, s:1, b:1), 
% 2.25/2.64  alpha23  [862, 1]      (w:1, o:803, a:1, s:1, b:1), 
% 2.25/2.64  alpha24  [863, 4]      (w:1, o:911, a:1, s:1, b:1), 
% 2.25/2.64  alpha25  [864, 4]      (w:1, o:912, a:1, s:1, b:1), 
% 2.25/2.64  alpha26  [865, 4]      (w:1, o:913, a:1, s:1, b:1), 
% 2.25/2.64  alpha27  [866, 4]      (w:1, o:914, a:1, s:1, b:1), 
% 2.25/2.64  alpha28  [867, 4]      (w:1, o:915, a:1, s:1, b:1), 
% 2.25/2.64  alpha29  [868, 1]      (w:1, o:804, a:1, s:1, b:1), 
% 2.25/2.64  alpha30  [869, 6]      (w:1, o:927, a:1, s:1, b:1), 
% 2.25/2.64  alpha31  [870, 4]      (w:1, o:916, a:1, s:1, b:1), 
% 2.25/2.64  alpha32  [871, 4]      (w:1, o:917, a:1, s:1, b:1), 
% 2.25/2.64  alpha33  [872, 1]      (w:1, o:805, a:1, s:1, b:1), 
% 2.25/2.64  alpha34  [873, 7]      (w:1, o:933, a:1, s:1, b:1), 
% 2.25/2.64  alpha35  [874, 6]      (w:1, o:928, a:1, s:1, b:1), 
% 2.25/2.64  alpha36  [875, 4]      (w:1, o:918, a:1, s:1, b:1), 
% 2.25/2.64  alpha37  [876, 4]      (w:1, o:919, a:1, s:1, b:1), 
% 2.25/2.64  alpha38  [877, 3]      (w:1, o:889, a:1, s:1, b:1), 
% 2.25/2.64  alpha39  [878, 10]      (w:1, o:939, a:1, s:1, b:1), 
% 2.25/2.64  alpha40  [879, 7]      (w:1, o:934, a:1, s:1, b:1), 
% 2.25/2.64  alpha41  [880, 6]      (w:1, o:929, a:1, s:1, b:1), 
% 2.25/2.64  alpha42  [881, 3]      (w:1, o:891, a:1, s:1, b:1), 
% 2.25/2.64  alpha43  [882, 7]      (w:1, o:935, a:1, s:1, b:1), 
% 2.25/2.64  alpha44  [883, 6]      (w:1, o:930, a:1, s:1, b:1), 
% 2.25/2.64  alpha45  [884, 3]      (w:1, o:892, a:1, s:1, b:1), 
% 2.25/2.64  alpha46  [885, 6]      (w:1, o:931, a:1, s:1, b:1), 
% 2.25/2.64  skol1  [886, 0]      (w:1, o:789, a:1, s:1, b:1), 
% 2.25/2.64  skol2  [887, 0]      (w:1, o:790, a:1, s:1, b:1), 
% 2.25/2.64  skol3  [888, 0]      (w:1, o:791, a:1, s:1, b:1), 
% 2.25/2.64  skol4  [889, 3]      (w:1, o:899, a:1, s:1, b:1), 
% 2.25/2.64  skol5  [890, 3]      (w:1, o:901, a:1, s:1, b:1), 
% 2.25/2.64  skol6  [891, 3]      (w:1, o:903, a:1, s:1, b:1), 
% 2.25/2.64  skol7  [892, 2]      (w:1, o:852, a:1, s:1, b:1), 
% 2.25/2.64  skol8  [893, 2]      (w:1, o:853, a:1, s:1, b:1), 
% 2.25/2.64  skol9  [894, 4]      (w:1, o:920, a:1, s:1, b:1), 
% 2.25/2.64  skol10  [895, 2]      (w:1, o:854, a:1, s:1, b:1), 
% 2.25/2.64  skol11  [896, 2]      (w:1, o:855, a:1, s:1, b:1), 
% 2.25/2.64  skol12  [897, 2]      (w:1, o:856, a:1, s:1, b:1), 
% 2.25/2.64  skol13  [898, 1]      (w:1, o:806, a:1, s:1, b:1), 
% 2.25/2.64  skol14  [899, 2]      (w:1, o:857, a:1, s:1, b:1), 
% 2.25/2.64  skol15  [900, 2]      (w:1, o:858, a:1, s:1, b:1), 
% 2.25/2.64  skol16  [901, 4]      (w:1, o:921, a:1, s:1, b:1), 
% 2.25/2.64  skol17  [902, 4]      (w:1, o:922, a:1, s:1, b:1), 
% 2.25/2.64  skol18  [903, 2]      (w:1, o:859, a:1, s:1, b:1), 
% 2.25/2.64  skol19  [904, 4]      (w:1, o:923, a:1, s:1, b:1), 
% 2.25/2.64  skol20  [905, 2]      (w:1, o:860, a:1, s:1, b:1), 
% 2.25/2.64  skol21  [906, 2]      (w:1, o:861, a:1, s:1, b:1), 
% 2.25/2.64  skol22  [907, 2]      (w:1, o:862, a:1, s:1, b:1), 
% 2.25/2.64  skol23  [908, 1]      (w:1, o:807, a:1, s:1, b:1), 
% 2.25/2.64  skol24  [909, 1]      (w:1, o:808, a:1, s:1, b:1), 
% 2.25/2.64  skol25  [910, 3]      (w:1, o:904, a:1, s:1, b:1), 
% 2.25/2.64  skol26  [911, 2]      (w:1, o:863, a:1, s:1, b:1), 
% 2.25/2.64  skol27  [912, 1]      (w:1, o:809, a:1, s:1, b:1), 
% 2.25/2.64  skol28  [913, 2]      (w:1, o:864, a:1, s:1, b:1), 
% 2.25/2.64  skol29  [914, 4]      (w:1, o:924, a:1, s:1, b:1), 
% 2.25/2.64  skol30  [915, 3]      (w:1, o:894, a:1, s:1, b:1), 
% 2.25/2.64  skol31  [916, 2]      (w:1, o:865, a:1, s:1, b:1), 
% 2.25/2.64  skol32  [917, 3]      (w:1, o:895, a:1, s:1, b:1), 
% 2.25/2.64  skol33  [918, 2]      (w:1, o:866, a:1, s:1, b:1), 
% 2.25/2.64  skol34  [919, 4]      (w:1, o:925, a:1, s:1, b:1), 
% 2.25/2.64  skol35  [920, 3]      (w:1, o:896, a:1, s:1, b:1), 
% 2.25/2.64  skol36  [921, 2]      (w:1, o:867, a:1, s:1, b:1), 
% 2.25/2.64  skol37  [922, 3]      (w:1, o:897, a:1, s:1, b:1), 
% 2.25/2.64  skol38  [923, 3]      (w:1, o:898, a:1, s:1, b:1), 
% 2.25/2.64  skol39  [924, 2]      (w:1, o:868, a:1, s:1, b:1), 
% 2.25/2.64  skol40  [925, 1]      (w:1, o:810, a:1, s:1, b:1), 
% 2.25/2.64  skol41  [926, 4]      (w:1, o:926, a:1, s:1, b:1), 
% 2.25/2.64  skol42  [927, 3]      (w:1, o:900, a:1, s:1, b:1), 
% 2.25/2.64  skol43  [928, 2]      (w:1, o:869, a:1, s:1, b:1), 
% 2.25/2.64  skol44  [929, 1]      (w:1, o:811, a:1, s:1, b:1), 
% 2.25/2.64  skol45  [930, 1]      (w:1, o:812, a:1, s:1, b:1), 
% 2.25/2.64  skol46  [931, 1]      (w:1, o:813, a:1, s:1, b:1), 
% 2.25/2.64  skol47  [932, 1]      (w:1, o:814, a:1, s:1, b:1), 
% 2.25/2.64  skol48  [933, 7]      (w:1, o:936, a:1, s:1, b:1), 
% 2.25/2.64  skol49  [934, 6]      (w:1, o:932, a:1, s:1, b:1), 
% 2.25/2.64  skol50  [935, 3]      (w:1, o:902, a:1, s:1, b:1), 
% 2.25/2.64  skol51  [936, 2]      (w:1, o:870, a:1, s:1, b:1), 
% 2.25/2.64  skol52  [937, 1]      (w:1, o:815, a:1, s:1, b:1), 
% 2.25/2.64  skol53  [938, 2]      (w:1, o:871, a:1, s:1, b:1), 
% 2.25/2.64  skol54  [939, 7]      (w:1, o:937, a:1, s:1, b:1).
% 2.25/2.64  
% 2.25/2.64  
% 2.25/2.64  Starting Search:
% 2.25/2.64  
% 2.25/2.64  *** allocated 33750 integers for clauses
% 2.25/2.64  *** allocated 75937 integers for termspace/termends
% 2.25/2.64  *** allocated 50625 integers for clauses
% 2.25/2.64  *** allocated 113905 integers for termspace/termends
% 2.25/2.64  *** allocated 75937 integers for clauses
% 2.25/2.64  *** allocated 113905 integers for clauses
% 2.25/2.64  *** allocated 170857 integers for termspace/termends
% 2.25/2.64  *** allocated 170857 integers for clauses
% 2.25/2.64  matchinglists is full
% 2.25/2.64  
% 2.25/2.64  Memory use:
% 2.25/2.64  
% 2.25/2.64  space for terms:        162774
% 2.25/2.64  space for clauses:      123717
% 2.25/2.64  
% 2.25/2.64  
% 2.25/2.64  clauses generated:      81420
% 2.25/2.64  clauses kept:           2568
% 2.25/2.64  clauses selected:       0
% 2.25/2.64  clauses deleted:        0
% 2.25/2.64  clauses inuse deleted:  0
% 2.25/2.64  
% 2.25/2.64  subsentry:          92039
% 2.25/2.64  literals s-matched: 68825
% 2.25/2.64  literals matched:   59081
% 2.25/2.64  full subsumption:   58700
% 2.25/2.64  
% 2.25/2.64  checksum:           341407262
% 2.25/2.64  
% 2.25/2.64  
% 2.25/2.64  Bliksem ended
%------------------------------------------------------------------------------