TSTP Solution File: GEO319+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO319+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n005.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 02:53:41 EDT 2022

% Result   : Unknown 2.34s 2.74s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO319+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n005.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 11:34:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.76/1.39  *** allocated 10000 integers for termspace/termends
% 0.76/1.39  *** allocated 10000 integers for clauses
% 0.76/1.39  *** allocated 10000 integers for justifications
% 0.76/1.39  Bliksem 1.12
% 0.76/1.39  
% 0.76/1.39  
% 0.76/1.39  Automatic Strategy Selection
% 0.76/1.39  
% 0.76/1.39  *** allocated 15000 integers for termspace/termends
% 0.76/1.39  *** allocated 22500 integers for termspace/termends
% 0.76/1.39  *** allocated 33750 integers for termspace/termends
% 0.76/1.39  *** allocated 50625 integers for termspace/termends
% 0.76/1.39  
% 0.76/1.39  Clauses:
% 0.76/1.39  
% 0.76/1.39  { vd1329 = vd1302 }.
% 0.76/1.39  { ! vd1329 = vd1287 }.
% 0.76/1.39  { ron( vd1329, vd1295 ) }.
% 0.76/1.39  { rR( vd1329, vd1287, vd1299 ) }.
% 0.76/1.39  { rpoint( vd1329 ) }.
% 0.76/1.39  { vd1299 = vd1300 }.
% 0.76/1.39  { rpoint( vd1300 ) }.
% 0.76/1.39  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.76/1.39    , ! rpoint( W ), alpha1( X, Y, Z ) }.
% 0.76/1.39  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.76/1.39    , ! rpoint( W ), rR( Y, Z, X ) }.
% 0.76/1.39  { ! alpha1( X, Y, Z ), ! rR( X, Y, Z ) }.
% 0.76/1.39  { ! alpha1( X, Y, Z ), ! X = Z }.
% 0.76/1.39  { ! alpha1( X, Y, Z ), ! X = Y }.
% 0.76/1.39  { rR( X, Y, Z ), X = Z, X = Y, alpha1( X, Y, Z ) }.
% 0.76/1.39  { vf( vd1287, vd1302 ) = vf( vd1287, vd1329 ) }.
% 0.76/1.39  { ron( vd1299, vd1295 ) }.
% 0.76/1.39  { vd1302 = vd1303 }.
% 0.76/1.39  { rR( vd1289, vd1287, vd1302 ) }.
% 0.76/1.39  { rpoint( vd1303 ) }.
% 0.76/1.39  { rR( vd1288, vd1287, vd1299 ) }.
% 0.76/1.39  { ron( vd1287, vd1295 ) }.
% 0.76/1.39  { rline( vd1295 ) }.
% 0.76/1.39  { vf( vd1287, vd1288 ) = vf( vd1287, vd1289 ) }.
% 0.76/1.39  { ! vd1288 = vd1289 }.
% 0.76/1.39  { ! vd1287 = vd1289 }.
% 0.76/1.39  { ! vd1287 = vd1288 }.
% 0.76/1.39  { vd1289 = skol1 }.
% 0.76/1.39  { rpoint( skol1 ) }.
% 0.76/1.39  { vd1288 = skol49 }.
% 0.76/1.39  { rpoint( skol49 ) }.
% 0.76/1.39  { vd1287 = skol54 }.
% 0.76/1.39  { rpoint( skol54 ) }.
% 0.76/1.39  { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( X, U, T ), ! rline( Z ), ! T
% 0.76/1.39     = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ), 
% 0.76/1.39    ron( X, Y ) }.
% 0.76/1.39  { ron( vd1289, vd1297 ) }.
% 0.76/1.39  { ron( vd1287, vd1297 ) }.
% 0.76/1.39  { rline( vd1297 ) }.
% 0.76/1.39  { ron( vd1288, vd1295 ) }.
% 0.76/1.39  { ! Y = Z, ! ron( T, Y ), ! ron( U, Y ), ! rR( T, U, X ), ! rline( Z ), ! X
% 0.76/1.39     = W, ! rpoint( W ), ! T = V0, ! rpoint( V0 ), ! U = V1, ! rpoint( V1 ), 
% 0.76/1.39    ron( X, Y ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1287, 
% 0.76/1.39    vd1289, vd1288 ) = vangle( vd1287, vd1288, vd1289 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vplus( vangle( 
% 0.76/1.39    vd1288, vd1289, vd1299 ), vangle( vd1287, vd1289, vd1288 ) ) = vangle( 
% 0.76/1.39    vd1287, vd1289, vd1299 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1288, 
% 0.76/1.39    vd1289, vd1299 ) = vangle( vd1289, vd1288, vskolem1306 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1299, 
% 0.76/1.39    vd1288, vd1289 ) = vangle( vskolem1306, vd1289, vd1288 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vf( vd1288, vd1299
% 0.76/1.39     ) = vf( vd1289, vskolem1306 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1288, 
% 0.76/1.39    vd1299, vd1289 ) = vangle( vd1289, vskolem1306, vd1288 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vf( vd1299, vd1289
% 0.76/1.39     ) = vf( vd1288, vskolem1306 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1287, 
% 0.76/1.39    vd1288, vskolem1306 ) = vangle( vd1287, vd1289, vd1299 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1287, 
% 0.76/1.39    vd1299, vd1289 ) = vangle( vd1287, vskolem1306, vd1288 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vf( vd1299, vd1289
% 0.76/1.39     ) = vf( vskolem1306, vd1288 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1288, 
% 0.76/1.39    vd1287, vd1289 ) = vangle( vd1299, vd1287, vd1289 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vangle( vd1288, 
% 0.76/1.39    vd1287, vd1289 ) = vangle( vd1288, vd1287, vskolem1306 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! rR( vd1287, 
% 0.76/1.39    vd1289, vskolem1306 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! rR( vd1287, 
% 0.76/1.39    vd1288, vd1299 ) }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vskolem1306 = 
% 0.76/1.39    vd1287 }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vd1299 = vd1287
% 0.76/1.39     }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vd1289 = vd1287
% 0.76/1.39     }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vd1288 = vd1287
% 0.76/1.39     }.
% 0.76/1.39  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1289, 
% 0.76/1.40    vd1297 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1288, 
% 0.76/1.40    vd1295 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vskolem1306, 
% 0.76/1.40    vd1297 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1287, 
% 0.76/1.40    vd1297 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1299, 
% 0.76/1.40    vd1295 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vd1287, 
% 0.76/1.40    vd1295 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vd1299 = vd1287
% 0.76/1.40     }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vskolem1306 = 
% 0.76/1.40    vd1302 }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ! vskolem1306 = 
% 0.76/1.40    vd1287 }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), ron( vskolem1306, 
% 0.76/1.40    vd1297 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), vf( vd1287, vd1299
% 0.76/1.40     ) = vf( vd1287, vskolem1306 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), rR( vskolem1306, 
% 0.76/1.40    vd1287, vd1302 ) }.
% 0.76/1.40  { ! rless( vf( vd1287, vd1299 ), vf( vd1287, vd1302 ) ), rpoint( 
% 0.76/1.40    vskolem1306 ) }.
% 0.76/1.40  { ron( vd1302, vd1297 ) }.
% 0.76/1.40  { rline( skol2( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.76/1.40    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint( 
% 0.76/1.40    V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.76/1.40     = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, ! 
% 0.76/1.40    rpoint( V8 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.76/1.40  { ron( T, skol2( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.76/1.40    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint( 
% 0.76/1.40    V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.76/1.40     = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, ! 
% 0.76/1.40    rpoint( V7 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.76/1.40  { alpha2( U, W, skol2( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.76/1.40    , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.76/1.40    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z, 
% 0.76/1.40    X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = 
% 0.76/1.40    V5, ! rpoint( V5 ), vangle( X, Z, Y ) = vangle( T, W, U ) }.
% 0.76/1.40  { ! alpha2( X, Y, Z ), ron( Y, Z ) }.
% 0.76/1.40  { ! alpha2( X, Y, Z ), ron( X, Z ) }.
% 0.76/1.40  { ! ron( Y, Z ), ! ron( X, Z ), alpha2( X, Y, Z ) }.
% 0.76/1.40  { rline( skol3( V0, V1, V2 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.76/1.40    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V3, ! rpoint( 
% 0.76/1.40    V3 ), ! U = V4, ! rpoint( V4 ), ! T = V5, ! rpoint( V5 ), Y = Z, X = Z, X
% 0.76/1.40     = Y, ! Z = V6, ! rpoint( V6 ), ! Y = V7, ! rpoint( V7 ), ! X = V8, ! 
% 0.76/1.40    rpoint( V8 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.76/1.40  { ron( T, skol3( T, V0, V1 ) ), ! vangle( Y, X, Z ) = vangle( U, T, W ), ! 
% 0.76/1.40    vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V2, ! rpoint( 
% 0.76/1.40    V2 ), ! U = V3, ! rpoint( V3 ), ! T = V4, ! rpoint( V4 ), Y = Z, X = Z, X
% 0.76/1.40     = Y, ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), ! X = V7, ! 
% 0.76/1.40    rpoint( V7 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.76/1.40  { alpha3( U, W, skol3( T, U, W ) ), ! vangle( Y, X, Z ) = vangle( U, T, W )
% 0.76/1.40    , ! vf( X, Z ) = vf( T, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.76/1.40    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), Y = Z, 
% 0.76/1.40    X = Z, X = Y, ! Z = V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = 
% 0.76/1.40    V5, ! rpoint( V5 ), vangle( X, Y, Z ) = vangle( T, U, W ) }.
% 0.76/1.40  { ! alpha3( X, Y, Z ), ron( Y, Z ) }.
% 0.76/1.40  { ! alpha3( X, Y, Z ), ron( X, Z ) }.
% 0.76/1.40  { ! ron( Y, Z ), ! ron( X, Z ), alpha3( X, Y, Z ) }.
% 0.76/1.40  { rline( skol4( W, V0, V1 ) ), ! vangle( X, V2, Y ) = vangle( Z, U, T ), ! 
% 0.76/1.40    vf( V2, Y ) = vf( U, T ), ! vf( V2, X ) = vf( U, Z ), ! T = V3, ! rpoint
% 0.76/1.40    ( V3 ), ! Z = V4, ! rpoint( V4 ), ! U = V5, ! rpoint( V5 ), X = Y, V2 = Y
% 0.76/1.40    , V2 = X, ! Y = V6, ! rpoint( V6 ), ! X = V7, ! rpoint( V7 ), ! V2 = V8, 
% 0.76/1.40    ! rpoint( V8 ), vf( X, Y ) = vf( Z, T ) }.
% 0.76/1.40  { ron( U, skol4( W, V0, U ) ), ! vangle( X, V1, Y ) = vangle( Z, U, T ), ! 
% 0.76/1.40    vf( V1, Y ) = vf( U, T ), ! vf( V1, X ) = vf( U, Z ), ! T = V2, ! rpoint
% 0.76/1.40    ( V2 ), ! Z = V3, ! rpoint( V3 ), ! U = V4, ! rpoint( V4 ), X = Y, V1 = Y
% 0.76/1.40    , V1 = X, ! Y = V5, ! rpoint( V5 ), ! X = V6, ! rpoint( V6 ), ! V1 = V7, 
% 0.76/1.40    ! rpoint( V7 ), vf( X, Y ) = vf( Z, T ) }.
% 0.76/1.40  { alpha4( Z, T, skol4( Z, T, U ) ), ! vangle( X, W, Y ) = vangle( Z, U, T )
% 0.76/1.40    , ! vf( W, Y ) = vf( U, T ), ! vf( W, X ) = vf( U, Z ), ! T = V0, ! 
% 0.76/1.40    rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! U = V2, ! rpoint( V2 ), X = Y, 
% 0.76/1.40    W = Y, W = X, ! Y = V3, ! rpoint( V3 ), ! X = V4, ! rpoint( V4 ), ! W = 
% 0.76/1.40    V5, ! rpoint( V5 ), vf( X, Y ) = vf( Z, T ) }.
% 0.76/1.40  { ! alpha4( X, Y, Z ), ron( Y, Z ) }.
% 0.76/1.40  { ! alpha4( X, Y, Z ), ron( X, Z ) }.
% 0.76/1.40  { ! ron( Y, Z ), ! ron( X, Z ), alpha4( X, Y, Z ) }.
% 0.76/1.40  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.76/1.40    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.76/1.40    Y ), vf( X, vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) = vf( U, V0 ) }.
% 0.76/1.40  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.76/1.40    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.76/1.40    Y ), rR( vskolem1120( X, Y, Z, T, U, W, V0, V1 ), X, Z ) }.
% 0.76/1.40  { ! rless( vf( U, V0 ), vf( X, Z ) ), U = V0, X = Z, ! V0 = V1, ! rpoint( 
% 0.76/1.40    V1 ), ! U = W, ! rpoint( W ), ! Z = T, ! rpoint( T ), ! X = Y, ! rpoint( 
% 0.76/1.40    Y ), rpoint( vskolem1120( X, Y, Z, T, U, W, V0, V1 ) ) }.
% 0.76/1.40  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rline( skol5( U, W
% 0.76/1.40     ) ) }.
% 0.76/1.40  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol5( U, 
% 0.76/1.40    Y ) ) }.
% 0.76/1.40  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( X, skol5( X, 
% 0.76/1.40    Y ) ) }.
% 0.76/1.40  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.76/1.40    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR
% 0.76/1.40    ( X, Y, Z ), ! ron( Z, T ), vangle( Y, X, Z ) = v0 }.
% 0.76/1.40  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.76/1.40    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! 
% 0.76/1.40    vangle( Y, X, Z ) = v0, ! rR( X, Y, Z ) }.
% 0.76/1.40  { ! ron( Y, T ), ! ron( X, T ), X = Z, X = Y, ! T = U, ! rline( U ), ! Z = 
% 0.76/1.40    W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! 
% 0.76/1.40    vangle( Y, X, Z ) = v0, ron( Z, T ) }.
% 0.76/1.40  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = vf( Y, X ) }
% 0.76/1.40    .
% 0.76/1.40  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rreal( skol6( U, W ) ) }
% 0.76/1.40    .
% 0.76/1.40  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vf( X, Y ) = skol6( X, Y
% 0.76/1.40     ) }.
% 0.76/1.40  { ! X = Y, ! rreal( Y ), ! rless( X, X ) }.
% 0.76/1.40  { ! rS( X, Z, Y ), ! Y = T, ! rline( T ), ! Z = U, ! rpoint( U ), ! X = W, 
% 0.76/1.40    ! rpoint( W ), ! ron( X, Y ) }.
% 0.76/1.40  { ! rR( T, Y, Z ), ! rR( Y, X, T ), ! Z = U, ! rpoint( U ), ! T = W, ! 
% 0.76/1.40    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Y, X
% 0.76/1.40    , Z ) }.
% 0.76/1.40  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.76/1.40     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.76/1.40    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.76/1.40    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus( 
% 0.76/1.40    vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Z, T, U ) }.
% 0.76/1.40  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.76/1.40     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.76/1.40    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.76/1.40    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! vangle( Y, X, Z ) = vplus( 
% 0.76/1.40    vangle( Y, X, T ), vangle( T, X, Z ) ), rS( Y, T, W ) }.
% 0.76/1.40  { U = W, ron( T, W ), ron( T, U ), X = Z, X = Y, ! ron( Z, W ), ! ron( Y, U
% 0.76/1.40     ), ! ron( X, W ), ! ron( X, U ), ! W = V0, ! rline( V0 ), ! U = V1, ! 
% 0.76/1.40    rline( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = V3, ! rpoint( V3 ), ! Y = V4
% 0.76/1.40    , ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), ! rS( Z, T, U ), ! rS( Y, T, 
% 0.76/1.40    W ), vangle( Y, X, Z ) = vplus( vangle( Y, X, T ), vangle( T, X, Z ) ) }
% 0.76/1.40    .
% 0.76/1.40  { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.76/1.40    rpoint( W ), ! rless( vf( Z, X ), vf( Z, Y ) ), rinside( X, T ) }.
% 0.76/1.40  { ! ron( Y, T ), ! rcenter( Z, T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.76/1.40    rpoint( W ), ! rinside( X, T ), rless( vf( Z, X ), vf( Z, Y ) ) }.
% 0.76/1.40  { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, ! 
% 0.76/1.40    rpoint( W ), ! vf( Y, X ) = vf( Y, T ), ron( X, Z ) }.
% 0.76/1.40  { ! ron( T, Z ), ! T = U, ! rpoint( U ), ! rcenter( Y, Z ), ! X = W, ! 
% 0.76/1.40    rpoint( W ), ! ron( X, Z ), vf( Y, X ) = vf( Y, T ) }.
% 0.76/1.40  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! vf( X, Y ) = v0, X = Y
% 0.76/1.40     }.
% 0.76/1.40  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! X = Y, vf( X, Y ) = v0
% 0.76/1.40     }.
% 0.76/1.40  { ! ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron( T, X ), ! Z =
% 0.76/1.40     U, ! rpoint( U ), ! T = W, ! rpoint( W ), rintersect( X, Y ) }.
% 0.76/1.40  { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! ron( Z, X ), ! ron( T
% 0.76/1.40    , X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, ! 
% 0.76/1.40    rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.76/1.40  { rinside( Z, Y ), ron( Z, Y ), ! rinside( T, Y ), ! rinside( Z, X ), ! ron
% 0.76/1.40    ( T, X ), ! Y = U, ! rcircle( U ), ! X = W, ! rcircle( W ), ! Z = V0, ! 
% 0.76/1.40    rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rintersect( X, Y ) }.
% 0.76/1.40  { ! rinside( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rpoint( T ), ! ron
% 0.76/1.40    ( X, Y ) }.
% 0.76/1.40  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.76/1.40    alpha25( X, Y, skol7( X, Y ), skol50( X, Y ) ) }.
% 0.76/1.40  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.76/1.40    rpoint( skol7( X, Y ) ) }.
% 0.76/1.40  { ! alpha25( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha25( X, Y, Z, T ), ron( Z, X ) }.
% 0.76/1.40  { ! alpha31( X, Y, Z, T ), ! ron( Z, X ), alpha25( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha31( X, Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha31( X, Y, Z, T ), ron( Z, Y ) }.
% 0.76/1.40  { ! alpha36( X, Y, Z, T ), ! ron( Z, Y ), alpha31( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha36( X, Y, Z, T ), alpha5( Y, Z, T ) }.
% 0.76/1.40  { ! alpha36( X, Y, Z, T ), ron( T, X ) }.
% 0.76/1.40  { ! alpha36( X, Y, Z, T ), rpoint( T ) }.
% 0.76/1.40  { ! alpha5( Y, Z, T ), ! ron( T, X ), ! rpoint( T ), alpha36( X, Y, Z, T )
% 0.76/1.40     }.
% 0.76/1.40  { ! alpha5( X, Y, Z ), ! Y = Z }.
% 0.76/1.40  { ! alpha5( X, Y, Z ), ron( Z, X ) }.
% 0.76/1.40  { Y = Z, ! ron( Z, X ), alpha5( X, Y, Z ) }.
% 0.76/1.40  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.76/1.40    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.76/1.40    ( V0 ), ! X = V1, ! rcircle( V1 ), rpoint( skol8( V2, V3, V4, V5 ) ) }.
% 0.76/1.40  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.76/1.40    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.76/1.40    ( V0 ), ! X = V1, ! rcircle( V1 ), ron( skol8( V2, Y, V3, V4 ), Y ) }.
% 0.76/1.40  { ! ron( T, Y ), ron( T, X ), rinside( T, X ), ! T = U, ! rpoint( U ), ! 
% 0.76/1.40    ron( Z, Y ), ! rinside( Z, X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline
% 0.76/1.40    ( V0 ), ! X = V1, ! rcircle( V1 ), alpha6( X, Z, T, skol8( X, Y, Z, T ) )
% 0.76/1.40     }.
% 0.76/1.40  { ! alpha6( X, Y, Z, T ), rR( T, Y, Z ) }.
% 0.76/1.40  { ! alpha6( X, Y, Z, T ), ron( T, X ) }.
% 0.76/1.40  { ! rR( T, Y, Z ), ! ron( T, X ), alpha6( X, Y, Z, T ) }.
% 0.76/1.40  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcircle( skol9( U
% 0.76/1.40    , W ) ) }.
% 0.76/1.40  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ron( Y, skol9( U, 
% 0.76/1.40    Y ) ) }.
% 0.76/1.40  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rcenter( X, skol9
% 0.76/1.40    ( X, Y ) ) }.
% 0.76/1.40  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U 
% 0.76/1.40    = X, ! rpoint( W ), vf( X, Y ) = vf( U, vskolem1078( U, W, X, Y ) ) }.
% 0.76/1.40  { X = Y, ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! U = W, U = Y, U 
% 0.76/1.40    = X, ! rpoint( W ), rpoint( vskolem1078( U, W, X, Y ) ) }.
% 0.76/1.40  { rR( X, Z, U ), rR( X, Y, T ), U = X, T = X, Z = X, Y = X, ! ron( U, W ), 
% 0.76/1.40    ! ron( Z, W ), ! ron( T, V0 ), ! ron( Y, V0 ), ! ron( X, V0 ), ! W = V1, 
% 0.76/1.40    ! rline( V1 ), ! V0 = V2, ! rline( V2 ), ! U = V3, ! rpoint( V3 ), ! T = 
% 0.76/1.40    V4, ! rpoint( V4 ), ! Z = V5, ! rpoint( V5 ), ! Y = V6, ! rpoint( V6 ), !
% 0.76/1.40     X = V7, ! rpoint( V7 ), vangle( Y, X, Z ) = vangle( T, X, U ) }.
% 0.76/1.40  { ! vplus( X, Z ) = vplus( Y, Z ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal
% 0.76/1.40    ( U ), ! X = W, ! rreal( W ), X = Y }.
% 0.76/1.40  { ! rless( X, Y ), ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), ! rless( Y
% 0.76/1.40    , X ), X = Y }.
% 0.76/1.40  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = vplus( Y, X
% 0.76/1.40     ) }.
% 0.76/1.40  { ! X = Y, ! rreal( Y ), vplus( X, v0 ) = X }.
% 0.76/1.40  { v0 = vd684 }.
% 0.76/1.40  { rreal( vd684 ) }.
% 0.76/1.40  { ! T = U, ! ron( Z, T ), ! ron( Y, T ), ! ron( X, T ), ! rline( U ), Y = Z
% 0.76/1.40    , X = Z, X = Y, ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = 
% 0.76/1.40    V1, ! rpoint( V1 ), rR( Y, X, Z ), rR( X, Y, Z ), rR( Z, X, Y ) }.
% 0.76/1.40  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( Z, vskolem1052
% 0.76/1.40    ( X, Y, Z, T ) ) = vf( vskolem1052( X, Y, Z, T ), X ) }.
% 0.76/1.40  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), vf( X, Z ) = vf( Z
% 0.76/1.40    , vskolem1052( X, Y, Z, T ) ) }.
% 0.76/1.40  { ! Z = T, X = Z, ! rpoint( T ), ! X = Y, ! rpoint( Y ), rpoint( 
% 0.76/1.40    vskolem1052( X, Y, Z, T ) ) }.
% 0.76/1.40  { ! rR( Y, X, Z ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W
% 0.76/1.40    , ! rpoint( W ), vplus( vf( X, Y ), vf( Y, Z ) ) = vf( X, Z ) }.
% 0.76/1.40  { ! rcenter( X, Y ), rinside( X, Y ) }.
% 0.76/1.40  { ! ron( Z, Y ), ! ron( Z, X ), ! ron( T, Y ), ! ron( T, X ), ! Y = U, ! 
% 0.76/1.40    rline( U ), ! X = W, ! rline( W ), T = Z, ! Z = V0, ! rpoint( V0 ), ! T =
% 0.76/1.40     V1, ! rpoint( V1 ), X = Y }.
% 0.76/1.40  { ! X = Y, ! rcircle( Y ), rpoint( skol10( Z ) ) }.
% 0.76/1.40  { ! X = Y, ! rcircle( Y ), ! rinside( skol10( X ), X ) }.
% 0.76/1.40  { ! X = Y, ! rcircle( Y ), ! ron( skol10( X ), X ) }.
% 0.76/1.40  { X = Z, X = Y, ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! 
% 0.76/1.40    rpoint( W ), vangle( X, Y, Z ) = vangle( Z, Y, X ) }.
% 0.76/1.40  { ! rless( X, Y ), ! Z = T, ! rreal( T ), ! Y = U, ! rreal( U ), ! X = W, !
% 0.76/1.40     rreal( W ), rless( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.76/1.40  { ! rless( Z, Y ), ! rless( X, Z ), ! Y = T, ! rreal( T ), ! Z = U, ! rreal
% 0.76/1.40    ( U ), ! X = W, ! rreal( W ), rless( X, Y ) }.
% 0.76/1.40  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rless( X, Y ), X = Y, rless
% 0.76/1.40    ( Y, X ) }.
% 0.76/1.40  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), rreal( skol11( U, W ) ) }.
% 0.76/1.40  { ! Y = Z, ! rreal( Z ), ! X = T, ! rreal( T ), vplus( X, Y ) = skol11( X, 
% 0.76/1.40    Y ) }.
% 0.76/1.40  { ! ron( Z, Y ), ! rinside( Z, X ), ! Y = T, ! rline( T ), ! X = U, ! 
% 0.76/1.40    rcircle( U ), ! Z = W, ! rpoint( W ), rintersect( Y, X ) }.
% 0.76/1.40  { rS( Y, Z, skol12( Y, Z ) ), alpha7( X, Z ), ! ron( Y, X ), ! U = T, ! 
% 0.76/1.40    rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1
% 0.76/1.40    , ! rpoint( V1 ), rintersect( skol51( X ), X ) }.
% 0.76/1.40  { rS( Y, Z, skol12( Y, Z ) ), alpha7( X, Z ), ! rinside( Y, X ), ! U = T, !
% 0.76/1.40     rcircle( T ), ! X = W, ! rcircle( W ), ! Z = V0, ! rpoint( V0 ), ! Y = 
% 0.76/1.40    V1, ! rpoint( V1 ), rintersect( skol51( X ), X ) }.
% 0.76/1.40  { ! alpha7( X, Y ), ! ron( Y, X ) }.
% 0.76/1.40  { ! alpha7( X, Y ), ! rinside( Y, X ) }.
% 0.76/1.40  { ron( Y, X ), rinside( Y, X ), alpha7( X, Y ) }.
% 0.76/1.40  { ! X = Z, ! Y = T, ! ron( U, Y ), ! ron( W, Y ), ! rline( T ), rS( W, U, X
% 0.76/1.40     ), ! rline( Z ), ! U = V0, ! rpoint( V0 ), ! W = V1, ! rpoint( V1 ), 
% 0.76/1.40    rintersect( X, Y ) }.
% 0.76/1.40  { ! ron( T, Z ), ! ron( U, Z ), ! Z = W, ! rline( W ), ! rcenter( T, V0 ), 
% 0.76/1.40    ! rcenter( U, V1 ), X = Y, ! ron( Y, V0 ), ! ron( Y, V1 ), ! ron( X, V0 )
% 0.76/1.40    , ! ron( X, V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! 
% 0.76/1.40    rintersect( V1, V0 ), V1 = V0, ! V0 = V4, ! rcircle( V4 ), ! V1 = V5, ! 
% 0.76/1.40    rcircle( V5 ), ! rS( X, Y, Z ) }.
% 0.76/1.40  { ! rR( T, Z, X ), rinside( T, Y ), alpha8( Y, Z ), ! Y = U, ! rcircle( U )
% 0.76/1.40    , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( 
% 0.76/1.40    V1 ), ! ron( X, Y ) }.
% 0.76/1.40  { ! rR( T, Z, X ), rinside( T, Y ), alpha8( Y, Z ), ! Y = U, ! rcircle( U )
% 0.76/1.40    , ! T = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( 
% 0.76/1.40    V1 ), ! ron( X, Y ) }.
% 0.76/1.40  { ! alpha8( X, Y ), ! ron( Y, X ) }.
% 0.76/1.40  { ! alpha8( X, Y ), ! rinside( Y, X ) }.
% 0.76/1.40  { ron( Y, X ), rinside( Y, X ), alpha8( X, Y ) }.
% 0.76/1.40  { ! rR( X, Z, T ), alpha9( Y, T ), ! ron( Z, Y ), ! Y = U, ! rcircle( U ), 
% 0.76/1.40    ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2
% 0.76/1.40     ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.76/1.40  { ! rR( X, Z, T ), alpha9( Y, T ), ! rinside( Z, Y ), ! Y = U, ! rcircle( U
% 0.76/1.40     ), ! V0 = W, ! rline( W ), ! X = V1, ! rpoint( V1 ), ! T = V2, ! rpoint
% 0.76/1.40    ( V2 ), ! Z = V3, ! rpoint( V3 ), rinside( X, Y ) }.
% 0.76/1.40  { ! alpha9( X, Y ), ! ron( Y, X ) }.
% 0.76/1.40  { ! alpha9( X, Y ), ! rinside( Y, X ) }.
% 0.76/1.40  { ron( Y, X ), rinside( Y, X ), alpha9( X, Y ) }.
% 0.76/1.40  { Y = Z, ! ron( Z, T ), ! ron( Y, T ), ! rinside( X, T ), ! ron( Z, U ), ! 
% 0.76/1.40    ron( Y, U ), ! ron( X, U ), ! T = W, ! rcircle( W ), ! U = V0, ! rline( 
% 0.76/1.40    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.76/1.40    rpoint( V3 ), rR( X, Y, Z ) }.
% 0.76/1.40  { ! rS( Y, Z, T ), ! rS( W, Z, U ), ! rS( V0, Y, T ), ! rS( Y, W, X ), ! 
% 0.76/1.40    ron( W, T ), ! ron( Y, U ), ! ron( V0, X ), ! ron( V1, T ), ! ron( V1, U
% 0.76/1.40     ), ! ron( V1, X ), ! W = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), !
% 0.76/1.40     V0 = V4, ! rpoint( V4 ), ! V1 = V5, ! rpoint( V5 ), ! T = V6, ! rline( 
% 0.76/1.40    V6 ), ! U = V7, ! rline( V7 ), ! X = V8, ! rline( V8 ), rS( Y, Z, X ) }.
% 0.76/1.40  { Y = T, ron( W, U ), rS( Y, W, U ), ! rS( Z, W, V0 ), ! ron( W, X ), ! ron
% 0.76/1.40    ( Z, U ), ! ron( Y, V0 ), ! ron( T, X ), ! ron( T, U ), ! ron( T, V0 ), !
% 0.76/1.40     W = V1, ! rpoint( V1 ), ! Z = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3
% 0.76/1.40     ), ! T = V4, ! rpoint( V4 ), ! X = V5, ! rline( V5 ), ! U = V6, ! rline
% 0.76/1.40    ( V6 ), ! V0 = V7, ! rline( V7 ), rS( Y, Z, X ) }.
% 0.76/1.40  { ! rS( Y, U, T ), ! rS( U, Z, W ), ! ron( Z, T ), ! ron( U, T ), ! ron( Y
% 0.76/1.40    , W ), ! ron( V0, T ), ! ron( V0, X ), ! ron( V0, W ), ! Z = V1, ! rpoint
% 0.76/1.40    ( V1 ), ! U = V2, ! rpoint( V2 ), ! Y = V3, ! rpoint( V3 ), ! V0 = V4, ! 
% 0.76/1.40    rpoint( V4 ), ! T = V5, ! rline( V5 ), ! X = V6, ! rline( V6 ), ! W = V7
% 0.76/1.40    , ! rline( V7 ), ! rS( Y, Z, X ) }.
% 0.76/1.40  { ! ron( Y, T ), ! ron( Y, U ), rS( X, Z, T ), ! ron( Z, U ), ! ron( X, U )
% 0.76/1.40    , T = U, ! U = W, ! rline( W ), ! T = V0, ! rline( V0 ), Y = Z, X = Z, X 
% 0.76/1.40    = Y, ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.76/1.40    rpoint( V3 ), rR( Y, X, Z ) }.
% 0.76/1.40  { ! ron( T, Z ), ! rR( T, X, Y ), ! Z = U, ! rline( U ), ! Y = W, ! rpoint
% 0.76/1.40    ( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! rS( X, Y, Z
% 0.76/1.40     ) }.
% 0.76/1.40  { ron( X, Z ), ! ron( T, Z ), ! rR( X, T, Y ), ! Z = U, ! rline( U ), ! Y =
% 0.76/1.40     W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS
% 0.76/1.40    ( X, Y, Z ) }.
% 0.76/1.40  { ! rS( X, T, Z ), ! rR( Y, X, T ), ! Z = U, ! rline( U ), ! T = W, ! 
% 0.76/1.40    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rS( X, Y
% 0.76/1.40    , Z ) }.
% 0.76/1.40  { rS( X, Y, T ), ron( Z, T ), ron( Y, T ), ron( X, T ), ! T = U, ! rline( U
% 0.76/1.40     ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint
% 0.76/1.40    ( V1 ), rS( X, Z, T ), rS( Y, Z, T ) }.
% 0.76/1.40  { ! rS( T, Y, Z ), ! rS( T, X, Z ), ! Z = U, ! rline( U ), ! Y = W, ! 
% 0.76/1.40    rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), rS( X, Y
% 0.76/1.40    , Z ) }.
% 0.76/1.40  { ! rS( X, Y, Z ), ! Z = T, ! rline( T ), ! Y = U, ! rpoint( U ), ! X = W, 
% 0.76/1.40    ! rpoint( W ), rS( Y, X, Z ) }.
% 0.76/1.40  { ron( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rpoint( T ), rS( X, X, Y )
% 0.76/1.40     }.
% 0.76/1.40  { ! rR( X, T, Z ), ! rR( X, T, Y ), ! Z = U, ! rpoint( U ), ! Y = W, ! 
% 0.76/1.40    rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rpoint( V1 ), ! rR( X
% 0.76/1.40    , Y, Z ) }.
% 0.76/1.40  { ! rR( Z, X, T ), ! rR( T, X, Y ), ! Z = U, ! rpoint( U ), ! Y = W, ! 
% 0.76/1.40    rpoint( W ), ! T = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), rR( Z, X
% 0.76/1.40    , Y ) }.
% 0.76/1.40  { ! rcenter( Y, Z ), ! rcenter( X, Z ), ! Z = T, ! rcircle( T ), X = Y }.
% 0.76/1.40  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.76/1.40    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.76/1.40    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol13( V3, V4, V5, V6
% 0.76/1.40     ) ) }.
% 0.76/1.40  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.76/1.40    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.76/1.40    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol13( X, V3, V4, V5 ), X
% 0.76/1.40     ) }.
% 0.76/1.40  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.76/1.40    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.76/1.40    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha10( Y, Z, T, skol13( X, Y
% 0.76/1.40    , Z, T ) ) }.
% 0.76/1.40  { ! alpha10( X, Y, Z, T ), ! rS( T, Z, Y ) }.
% 0.76/1.40  { ! alpha10( X, Y, Z, T ), ron( T, X ) }.
% 0.76/1.40  { rS( T, Z, Y ), ! ron( T, X ), alpha10( X, Y, Z, T ) }.
% 0.76/1.40  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.76/1.40    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.76/1.40    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), rpoint( skol14( V3, V4, V5, V6
% 0.76/1.40     ) ) }.
% 0.76/1.40  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.76/1.40    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.76/1.40    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), ron( skol14( X, V3, V4, V5 ), X
% 0.76/1.40     ) }.
% 0.76/1.40  { ron( T, Z ), ! ron( U, Z ), ! ron( W, Z ), ! rcenter( U, Y ), ! rcenter( 
% 0.76/1.40    W, X ), ! rintersect( X, Y ), ! Z = V0, ! rline( V0 ), ! Y = V1, ! 
% 0.76/1.40    rcircle( V1 ), ! X = V2, ! rcircle( V2 ), alpha11( Y, Z, T, skol14( X, Y
% 0.76/1.40    , Z, T ) ) }.
% 0.76/1.40  { ! alpha11( X, Y, Z, T ), rS( T, Z, Y ) }.
% 0.76/1.40  { ! alpha11( X, Y, Z, T ), ron( T, X ) }.
% 0.76/1.40  { ! rS( T, Z, Y ), ! ron( T, X ), alpha11( X, Y, Z, T ) }.
% 0.76/1.40  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.76/1.40    rpoint( skol15( U, W ) ) }.
% 0.76/1.40  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.76/1.40    ron( skol15( U, Y ), Y ) }.
% 0.76/1.40  { ! rintersect( X, Y ), ! Y = Z, ! rcircle( Z ), ! X = T, ! rcircle( T ), 
% 0.76/1.40    ron( skol15( X, Y ), X ) }.
% 0.76/1.40  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.76/1.40    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.76/1.40    rcircle( V1 ), rpoint( skol16( V2, V3, V4, V5 ) ) }.
% 0.76/1.40  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.76/1.40    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.76/1.40    rcircle( V1 ), ron( skol16( X, V2, V3, V4 ), X ) }.
% 0.76/1.40  { T = Z, ! ron( T, Y ), ! T = U, ! rpoint( U ), ! ron( Z, Y ), ! rinside( Z
% 0.76/1.40    , X ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rline( V0 ), ! X = V1, ! 
% 0.76/1.40    rcircle( V1 ), alpha12( Y, Z, T, skol16( X, Y, Z, T ) ) }.
% 0.76/1.40  { ! alpha12( X, Y, Z, T ), rR( Y, T, Z ) }.
% 0.76/1.40  { ! alpha12( X, Y, Z, T ), ron( T, X ) }.
% 0.76/1.40  { ! rR( Y, T, Z ), ! ron( T, X ), alpha12( X, Y, Z, T ) }.
% 0.76/1.40  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.76/1.40    alpha26( X, Y, skol17( X, Y ), skol52( X, Y ) ) }.
% 0.76/1.40  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.76/1.40    rpoint( skol17( X, Y ) ) }.
% 0.76/1.40  { ! alpha26( X, Y, Z, T ), alpha32( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha26( X, Y, Z, T ), ron( Z, Y ) }.
% 0.76/1.40  { ! alpha32( X, Y, Z, T ), ! ron( Z, Y ), alpha26( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha32( X, Y, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha32( X, Y, Z, T ), ron( Z, X ) }.
% 0.76/1.40  { ! alpha37( X, Y, Z, T ), ! ron( Z, X ), alpha32( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha37( X, Y, Z, T ), alpha13( X, Z, T ) }.
% 0.76/1.40  { ! alpha37( X, Y, Z, T ), ron( T, Y ) }.
% 0.76/1.40  { ! alpha37( X, Y, Z, T ), rpoint( T ) }.
% 0.76/1.40  { ! alpha13( X, Z, T ), ! ron( T, Y ), ! rpoint( T ), alpha37( X, Y, Z, T )
% 0.76/1.40     }.
% 0.76/1.40  { ! alpha13( X, Y, Z ), ! Y = Z }.
% 0.76/1.40  { ! alpha13( X, Y, Z ), ron( Z, X ) }.
% 0.76/1.40  { Y = Z, ! ron( Z, X ), alpha13( X, Y, Z ) }.
% 0.76/1.40  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), 
% 0.76/1.40    rpoint( skol18( U, W ) ) }.
% 0.76/1.40  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.76/1.40    ( skol18( U, Y ), Y ) }.
% 0.76/1.40  { ! rintersect( Y, X ), ! Y = Z, ! rline( Z ), ! X = T, ! rcircle( T ), ron
% 0.76/1.40    ( skol18( X, Y ), X ) }.
% 0.76/1.40  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), 
% 0.76/1.40    rpoint( skol19( U, W ) ) }.
% 0.76/1.40  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron( 
% 0.76/1.40    skol19( U, Y ), Y ) }.
% 0.76/1.40  { ! rintersect( X, Y ), ! Y = Z, ! rline( Z ), ! X = T, ! rline( T ), ron( 
% 0.76/1.40    skol19( X, Y ), X ) }.
% 0.76/1.40  { ! X = Y, ! rcircle( Y ), rpoint( skol20( Z ) ) }.
% 0.76/1.40  { ! X = Y, ! rcircle( Y ), rinside( skol20( X ), X ) }.
% 0.76/1.40  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.76/1.40    U ), ! X = W, ! rcircle( W ), rpoint( skol21( V0, V1, V2 ) ) }.
% 0.76/1.40  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.76/1.40    U ), ! X = W, ! rcircle( W ), ron( skol21( X, V0, V1 ), X ) }.
% 0.76/1.40  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.76/1.40    U ), ! X = W, ! rcircle( W ), alpha14( Y, Z, skol21( X, Y, Z ) ) }.
% 0.76/1.40  { ! alpha14( X, Y, Z ), ! Z = Y }.
% 0.76/1.40  { ! alpha14( X, Y, Z ), ! Z = X }.
% 0.76/1.40  { Z = Y, Z = X, alpha14( X, Y, Z ) }.
% 0.76/1.40  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), rpoint( 
% 0.76/1.40    skol22( U, W ) ) }.
% 0.76/1.40  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ! skol22
% 0.76/1.40    ( U, Y ) = Y }.
% 0.76/1.40  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rcircle( T ), ron( 
% 0.76/1.40    skol22( X, Y ), X ) }.
% 0.76/1.40  { ! X = Y, ! rcircle( Y ), rpoint( skol23( Z ) ) }.
% 0.76/1.40  { ! X = Y, ! rcircle( Y ), ron( skol23( X ), X ) }.
% 0.76/1.40  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.76/1.40    skol24( U, W ) ) }.
% 0.76/1.40  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! rS( skol24
% 0.76/1.40    ( X, Y ), Y, X ) }.
% 0.76/1.40  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.76/1.40    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.76/1.40    rpoint( skol25( V2, V3, V4, V5 ) ) }.
% 0.76/1.40  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.76/1.40    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.76/1.40    rS( skol25( X, Y, V2, V3 ), Y, X ) }.
% 0.76/1.40  { ! Y = U, ! Z = W, ! T = V0, ! rS( T, Y, X ), ! rpoint( V0 ), ! rS( Z, Y, 
% 0.76/1.40    X ), ! rpoint( W ), ron( Y, X ), ! rpoint( U ), ! X = V1, ! rline( V1 ), 
% 0.76/1.40    alpha27( Y, Z, T, skol25( X, Y, Z, T ) ) }.
% 0.76/1.40  { ! alpha27( X, Y, Z, T ), alpha15( Y, Z, T ) }.
% 0.76/1.40  { ! alpha27( X, Y, Z, T ), ! T = X }.
% 0.76/1.40  { ! alpha15( Y, Z, T ), T = X, alpha27( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha15( X, Y, Z ), ! Z = Y }.
% 0.76/1.40  { ! alpha15( X, Y, Z ), ! Z = X }.
% 0.76/1.40  { Z = Y, Z = X, alpha15( X, Y, Z ) }.
% 0.76/1.40  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.76/1.40    T ), ! X = W, ! rline( W ), rpoint( skol26( V0, V1, V2 ) ) }.
% 0.76/1.40  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.76/1.40    T ), ! X = W, ! rline( W ), alpha16( Y, Z, skol26( V0, Y, Z ) ) }.
% 0.76/1.40  { ! Y = T, ! Z = U, ! rS( Z, Y, X ), ! rpoint( U ), ron( Y, X ), ! rpoint( 
% 0.76/1.40    T ), ! X = W, ! rline( W ), rS( skol26( X, Y, Z ), Y, X ) }.
% 0.76/1.40  { ! alpha16( X, Y, Z ), ! Z = Y }.
% 0.76/1.40  { ! alpha16( X, Y, Z ), ! Z = X }.
% 0.76/1.40  { Z = Y, Z = X, alpha16( X, Y, Z ) }.
% 0.76/1.40  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.76/1.40    skol27( U, W ) ) }.
% 0.76/1.40  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), ! skol27( U, 
% 0.76/1.40    Y ) = Y }.
% 0.76/1.40  { ! Y = Z, ron( Y, X ), ! rpoint( Z ), ! X = T, ! rline( T ), rS( skol27( X
% 0.76/1.40    , Y ), Y, X ) }.
% 0.76/1.40  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.76/1.40    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.76/1.40    rpoint( skol28( V2, V3, V4 ) ) }.
% 0.76/1.40  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.76/1.40    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.76/1.40    ! skol28( V2, V3, Z ) = Z }.
% 0.76/1.40  { ! Z = T, ! rR( Y, X, Z ), ! rpoint( T ), ! ron( Y, U ), ! ron( X, U ), ! 
% 0.76/1.40    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! U = V1, ! rline( V1 ), 
% 0.76/1.40    rR( Y, X, skol28( X, Y, Z ) ) }.
% 0.76/1.40  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.76/1.40    rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol29( V0, V1 ) ) }.
% 0.76/1.40  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.76/1.40    rpoint( U ), ! Z = W, ! rline( W ), rR( Y, X, skol29( X, Y ) ) }.
% 0.76/1.40  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.76/1.40    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.76/1.40    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rpoint( 
% 0.76/1.40    skol30( V4, V5, V6, V7 ) ) }.
% 0.76/1.40  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.76/1.40    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.76/1.40    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), alpha17
% 0.76/1.40    ( Z, T, skol30( V4, V5, Z, T ) ) }.
% 0.76/1.40  { ! rR( T, X, Y ), ! rR( Z, X, Y ), ! ron( Z, U ), ! ron( Y, U ), ! ron( X
% 0.76/1.40    , U ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), ! Y = V1, ! 
% 0.76/1.40    rpoint( V1 ), ! X = V2, ! rpoint( V2 ), ! U = V3, ! rline( V3 ), rR( 
% 0.76/1.40    skol30( X, Y, Z, T ), X, Y ) }.
% 0.76/1.40  { ! alpha17( X, Y, Z ), ! Z = Y }.
% 0.76/1.40  { ! alpha17( X, Y, Z ), ! Z = X }.
% 0.76/1.40  { Z = Y, Z = X, alpha17( X, Y, Z ) }.
% 0.76/1.40  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.76/1.40    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.76/1.40    rpoint( skol31( V2, V3, V4 ) ) }.
% 0.76/1.40  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.76/1.40    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.76/1.40    ! skol31( V2, V3, Z ) = Z }.
% 0.76/1.40  { ! rR( Z, X, Y ), ! ron( Y, T ), ! ron( X, T ), ! Z = U, ! rpoint( U ), ! 
% 0.76/1.40    Y = W, ! rpoint( W ), ! X = V0, ! rpoint( V0 ), ! T = V1, ! rline( V1 ), 
% 0.76/1.40    rR( skol31( X, Y, Z ), X, Y ) }.
% 0.76/1.40  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.76/1.40    rpoint( U ), ! Z = W, ! rline( W ), rpoint( skol32( V0, V1 ) ) }.
% 0.76/1.40  { X = Y, ! ron( Y, Z ), ! ron( X, Z ), ! Y = T, ! rpoint( T ), ! X = U, ! 
% 0.76/1.40    rpoint( U ), ! Z = W, ! rline( W ), rR( skol32( X, Y ), X, Y ) }.
% 0.76/1.40  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.76/1.40    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.76/1.40    rpoint( skol33( V2, V3, V4 ) ) }.
% 0.76/1.40  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.76/1.40    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.76/1.40    ron( skol33( X, V2, V3 ), X ) }.
% 0.76/1.40  { ! ron( T, X ), ! ron( Z, X ), ! ron( Y, X ), ! T = U, ! rpoint( U ), ! Z 
% 0.76/1.40    = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rline( V1 ), 
% 0.76/1.40    alpha18( Y, Z, skol33( X, Y, Z ) ) }.
% 0.76/1.40  { ! alpha18( X, Y, Z ), ! Z = Y }.
% 0.76/1.40  { ! alpha18( X, Y, Z ), ! Z = X }.
% 0.76/1.40  { Z = Y, Z = X, alpha18( X, Y, Z ) }.
% 0.76/1.40  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.76/1.40    U ), ! X = W, ! rline( W ), rpoint( skol34( V0, V1, V2 ) ) }.
% 0.76/1.40  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.76/1.40    U ), ! X = W, ! rline( W ), ron( skol34( X, V0, V1 ), X ) }.
% 0.76/1.40  { ! ron( Z, X ), ! ron( Y, X ), ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( 
% 0.76/1.40    U ), ! X = W, ! rline( W ), alpha19( Y, Z, skol34( X, Y, Z ) ) }.
% 0.76/1.40  { ! alpha19( X, Y, Z ), ! Z = Y }.
% 0.76/1.40  { ! alpha19( X, Y, Z ), ! Z = X }.
% 0.76/1.40  { Z = Y, Z = X, alpha19( X, Y, Z ) }.
% 0.76/1.40  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), rpoint( 
% 0.76/1.40    skol35( U, W ) ) }.
% 0.76/1.40  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ! skol35( U
% 0.76/1.40    , Y ) = Y }.
% 0.76/1.40  { ! ron( Y, X ), ! Y = Z, ! rpoint( Z ), ! X = T, ! rline( T ), ron( skol35
% 0.76/1.40    ( X, Y ), X ) }.
% 0.76/1.40  { ! X = Y, ! rline( Y ), rpoint( skol36( Z ) ) }.
% 0.76/1.40  { ! X = Y, ! rline( Y ), ron( skol36( X ), X ) }.
% 0.76/1.40  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.76/1.40    , ! X = V1, ! rpoint( V1 ), rpoint( skol37( V2, V3, V4, V5 ) ) }.
% 0.76/1.40  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.76/1.40    , ! X = V1, ! rpoint( V1 ), ! skol37( X, V2, V3, V4 ) = X }.
% 0.76/1.40  { ! T = U, ! rpoint( U ), ! Z = W, ! rpoint( W ), ! Y = V0, ! rpoint( V0 )
% 0.76/1.40    , ! X = V1, ! rpoint( V1 ), alpha28( Y, Z, T, skol37( X, Y, Z, T ) ) }.
% 0.76/1.40  { ! alpha28( X, Y, Z, T ), alpha20( Y, Z, T ) }.
% 0.76/1.40  { ! alpha28( X, Y, Z, T ), ! T = X }.
% 0.76/1.40  { ! alpha20( Y, Z, T ), T = X, alpha28( X, Y, Z, T ) }.
% 0.76/1.40  { ! alpha20( X, Y, Z ), ! Z = Y }.
% 0.76/1.40  { ! alpha20( X, Y, Z ), ! Z = X }.
% 0.76/1.40  { Z = Y, Z = X, alpha20( X, Y, Z ) }.
% 0.76/1.40  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.40    rpoint( skol38( V0, V1, V2 ) ) }.
% 0.76/1.40  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), !
% 0.76/1.40     skol38( X, V0, V1 ) = X }.
% 0.76/1.40  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.40    alpha21( Y, Z, skol38( X, Y, Z ) ) }.
% 0.76/1.40  { ! alpha21( X, Y, Z ), ! Z = Y }.
% 0.76/1.40  { ! alpha21( X, Y, Z ), ! Z = X }.
% 0.76/1.40  { Z = Y, Z = X, alpha21( X, Y, Z ) }.
% 0.76/1.40  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rpoint( skol39( U, W ) )
% 0.76/1.40     }.
% 0.76/1.40  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol39( U, Y ) = Y }.
% 0.76/1.40  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), ! skol39( X, Y ) = X }.
% 0.76/1.40  { ! X = Y, ! rpoint( Y ), rpoint( skol40( Z ) ) }.
% 0.76/1.40  { ! X = Y, ! rpoint( Y ), ! skol40( X ) = X }.
% 0.76/1.40  { rpoint( vd14 ) }.
% 0.76/1.40  { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha38( X, Y, Z ) }.
% 0.76/1.40  { ! vtriangle( X, Y, Z ) = T, ! rtriangle( T ), alpha33( X ) }.
% 0.76/1.40  { ! alpha38( X, Y, Z ), alpha42( X, Y, Z ) }.
% 0.76/1.40  { ! alpha38( X, Y, Z ), alpha29( Y ) }.
% 0.76/1.40  { ! alpha42( X, Y, Z ), ! alpha29( Y ), alpha38( X, Y, Z ) }.
% 0.76/1.40  { ! alpha42( X, Y, Z ), alpha45( X, Y, Z ) }.
% 0.76/1.40  { ! alpha42( X, Y, Z ), alpha22( Z ) }.
% 0.76/1.40  { ! alpha45( X, Y, Z ), ! alpha22( Z ), alpha42( X, Y, Z ) }.
% 0.76/1.40  { ! alpha45( X, Y, Z ), ! Y = Z }.
% 0.76/1.40  { ! alpha45( X, Y, Z ), ! X = Z }.
% 0.76/1.40  { ! alpha45( X, Y, Z ), ! X = Y }.
% 0.76/1.40  { Y = Z, X = Z, X = Y, alpha45( X, Y, Z ) }.
% 0.76/1.40  { ! alpha33( X ), rpoint( skol41( Y ) ) }.
% 0.76/1.40  { ! alpha33( X ), X = skol41( X ) }.
% 0.76/1.40  { ! X = Y, ! rpoint( Y ), alpha33( X ) }.
% 0.76/1.40  { ! alpha29( X ), rpoint( skol42( Y ) ) }.
% 0.76/1.40  { ! alpha29( X ), X = skol42( X ) }.
% 0.76/1.40  { ! X = Y, ! rpoint( Y ), alpha29( X ) }.
% 0.76/1.40  { ! alpha22( X ), rpoint( skol43( Y ) ) }.
% 0.76/1.40  { ! alpha22( X ), X = skol43( X ) }.
% 0.76/1.40  { ! X = Y, ! rpoint( Y ), alpha22( X ) }.
% 0.76/1.40  { ! rcenter( X, Y ), rcircle( skol44( Z, T ) ) }.
% 0.76/1.40  { ! rcenter( X, Y ), Y = skol44( Z, Y ) }.
% 0.76/1.40  { ! rcenter( X, Y ), alpha23( X ) }.
% 0.76/1.40  { ! alpha23( X ), rpoint( skol45( Y ) ) }.
% 0.76/1.40  { ! alpha23( X ), X = skol45( X ) }.
% 0.76/1.40  { ! X = Y, ! rpoint( Y ), alpha23( X ) }.
% 0.76/1.40  { ! V4 = V5, alpha34( V4, V6, V7, V8, V9, V10, V11 ), ron( V11, V4 ), ! ron
% 0.76/1.40    ( V10, V4 ), ! ron( V9, V4 ), ! rline( V5 ), ! V3 = V12, ! rpoint( V12 )
% 0.76/1.40    , ! V2 = V13, ! rpoint( V13 ), ! V1 = V14, ! rpoint( V14 ), ! V0 = V15, !
% 0.76/1.40     rpoint( V15 ), ! W = V16, ! rpoint( V16 ), ! U = V17, ! rpoint( V17 ), !
% 0.76/1.40     T = V18, ! rpoint( V18 ), ! Z = V19, ! rpoint( V19 ), ! Y = V20, ! 
% 0.76/1.40    rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! V11 = V22, ! rpoint( V22 ), 
% 0.76/1.40    ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! rpoint( V24 ), V7 = V8, V6 = 
% 0.76/1.40    V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! V7 = V26, ! rpoint( V26 ), ! 
% 0.76/1.40    V6 = V27, ! rpoint( V27 ), alpha39( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }
% 0.76/1.40    .
% 0.76/1.40  { ! V4 = V5, ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf
% 0.76/1.40    ( Z, T ), ron( V11, V4 ), ! ron( V10, V4 ), ! ron( V9, V4 ), ! rline( V5
% 0.76/1.40     ), ! V3 = V12, ! rpoint( V12 ), ! V2 = V13, ! rpoint( V13 ), ! V1 = V14
% 0.76/1.40    , ! rpoint( V14 ), ! V0 = V15, ! rpoint( V15 ), ! W = V16, ! rpoint( V16
% 0.76/1.40     ), ! U = V17, ! rpoint( V17 ), ! T = V18, ! rpoint( V18 ), ! Z = V19, ! 
% 0.76/1.40    rpoint( V19 ), ! Y = V20, ! rpoint( V20 ), ! X = V21, ! rpoint( V21 ), ! 
% 0.76/1.40    V11 = V22, ! rpoint( V22 ), ! V10 = V23, ! rpoint( V23 ), ! V9 = V24, ! 
% 0.76/1.40    rpoint( V24 ), V7 = V8, V6 = V8, V6 = V7, ! V8 = V25, ! rpoint( V25 ), ! 
% 0.76/1.40    V7 = V26, ! rpoint( V26 ), ! V6 = V27, ! rpoint( V27 ), alpha39( X, Y, Z
% 0.76/1.40    , T, U, W, V0, V1, V2, V3 ) }.
% 0.76/1.40  { ! alpha39( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vangle( U, W, V0 ) = 
% 0.76/1.40    vangle( V1, V2, V3 ) }.
% 0.76/1.40  { ! alpha39( X, Y, Z, T, U, W, V0, V1, V2, V3 ), vf( X, Y ) = vf( Z, T ) }
% 0.76/1.40    .
% 0.76/1.40  { ! vangle( U, W, V0 ) = vangle( V1, V2, V3 ), ! vf( X, Y ) = vf( Z, T ), 
% 0.76/1.40    alpha39( X, Y, Z, T, U, W, V0, V1, V2, V3 ) }.
% 0.76/1.40  { ! alpha34( X, Y, Z, T, U, W, V0 ), rS( skol46( X, V1, V2, V3, V4, V5, V0
% 0.76/1.40     ), V0, X ) }.
% 0.76/1.40  { ! alpha34( X, Y, Z, T, U, W, V0 ), alpha24( X, U, W, skol53( X, V1, V2, 
% 0.76/1.40    V3, U, W, V4 ) ) }.
% 0.76/1.40  { ! alpha34( X, Y, Z, T, U, W, V0 ), alpha30( Y, Z, T, U, skol46( X, Y, Z, 
% 0.76/1.40    T, U, W, V0 ), skol53( X, Y, Z, T, U, W, V0 ) ) }.
% 0.76/1.40  { ! rS( V1, V0, X ), ! alpha24( X, U, W, V2 ), ! alpha30( Y, Z, T, U, V1, 
% 0.76/1.40    V2 ), alpha34( X, Y, Z, T, U, W, V0 ) }.
% 0.76/1.40  { ! alpha30( X, Y, Z, T, U, W ), rpoint( skol47( V0, V1, V2, V3, V4, V5 ) )
% 0.76/1.40     }.
% 0.76/1.40  { ! alpha30( X, Y, Z, T, U, W ), alpha40( X, Y, Z, T, U, W, skol47( X, Y, Z
% 0.76/1.40    , T, U, W ) ) }.
% 0.76/1.40  { ! alpha40( X, Y, Z, T, U, W, V0 ), ! rpoint( V0 ), alpha30( X, Y, Z, T, U
% 0.76/1.40    , W ) }.
% 0.76/1.40  { ! alpha40( X, Y, Z, T, U, W, V0 ), alpha43( X, Y, Z, T, U, W, V0 ) }.
% 0.76/1.40  { ! alpha40( X, Y, Z, T, U, W, V0 ), rpoint( W ) }.
% 0.76/1.40  { ! alpha43( X, Y, Z, T, U, W, V0 ), ! rpoint( W ), alpha40( X, Y, Z, T, U
% 0.76/1.40    , W, V0 ) }.
% 0.76/1.40  { ! alpha43( X, Y, Z, T, U, W, V0 ), alpha35( X, Y, Z, U, W, V0 ) }.
% 0.76/1.40  { ! alpha43( X, Y, Z, T, U, W, V0 ), V0 = T }.
% 0.76/1.40  { ! alpha43( X, Y, Z, T, U, W, V0 ), rpoint( U ) }.
% 0.76/1.40  { ! alpha35( X, Y, Z, U, W, V0 ), ! V0 = T, ! rpoint( U ), alpha43( X, Y, Z
% 0.76/1.40    , T, U, W, V0 ) }.
% 0.76/1.40  { ! alpha35( X, Y, Z, T, U, W ), alpha41( X, Y, Z, T, U, W ) }.
% 0.76/1.40  { ! alpha35( X, Y, Z, T, U, W ), vangle( T, U, W ) = vangle( Z, Y, X ) }.
% 0.76/1.40  { ! alpha41( X, Y, Z, T, U, W ), ! vangle( T, U, W ) = vangle( Z, Y, X ), 
% 0.76/1.40    alpha35( X, Y, Z, T, U, W ) }.
% 0.76/1.40  { ! alpha41( X, Y, Z, T, U, W ), alpha44( X, Y, Z, T, U, W ) }.
% 0.76/1.40  { ! alpha41( X, Y, Z, T, U, W ), vangle( U, W, T ) = vangle( Y, X, Z ) }.
% 0.76/1.40  { ! alpha44( X, Y, Z, T, U, W ), ! vangle( U, W, T ) = vangle( Y, X, Z ), 
% 0.76/1.40    alpha41( X, Y, Z, T, U, W ) }.
% 0.76/1.40  { ! alpha44( X, Y, Z, T, U, W ), alpha46( X, Y, Z, T, U, W ) }.
% 0.76/1.40  { ! alpha44( X, Y, Z, T, U, W ), vangle( W, T, U ) = vangle( X, Z, Y ) }.
% 0.76/1.40  { ! alpha46( X, Y, Z, T, U, W ), ! vangle( W, T, U ) = vangle( X, Z, Y ), 
% 0.76/1.40    alpha44( X, Y, Z, T, U, W ) }.
% 0.76/1.40  { ! alpha46( X, Y, Z, T, U, W ), vf( X, Z ) = vf( W, T ) }.
% 0.76/1.40  { ! alpha46( X, Y, Z, T, U, W ), vf( Y, Z ) = vf( U, T ) }.
% 0.76/1.40  { ! alpha46( X, Y, Z, T, U, W ), vf( X, Y ) = vf( W, U ) }.
% 0.76/1.41  { ! vf( X, Z ) = vf( W, T ), ! vf( Y, Z ) = vf( U, T ), ! vf( X, Y ) = vf( 
% 0.76/1.41    W, U ), alpha46( X, Y, Z, T, U, W ) }.
% 0.76/1.41  { ! alpha24( X, Y, Z, T ), ! rR( Y, T, Z ) }.
% 0.76/1.41  { ! alpha24( X, Y, Z, T ), ron( T, X ) }.
% 0.76/1.41  { rR( Y, T, Z ), ! ron( T, X ), alpha24( X, Y, Z, T ) }.
% 0.76/1.41  { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint( 
% 0.76/1.41    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.76/1.41    rpoint( V3 ), ! vangle( X, Z, T ) = vangle( T, Z, Y ), vangle( X, Z, T ) 
% 0.76/1.41    = vperp }.
% 0.76/1.41  { ron( T, U ), ! rR( Z, X, Y ), ! U = W, ! rline( W ), ! T = V0, ! rpoint( 
% 0.76/1.41    V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! rpoint( V2 ), ! X = V3, ! 
% 0.76/1.41    rpoint( V3 ), ! vangle( X, Z, T ) = vperp, vangle( X, Z, T ) = vangle( T
% 0.76/1.41    , Z, Y ) }.
% 0.76/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), rleq( v0, vf( X, Y ) ) }
% 0.76/1.41    .
% 0.76/1.41  { ! vf( U, Z ) = vf( U, T ), ! ron( T, Y ), ! ron( Z, X ), ! rcenter( U, Y
% 0.76/1.41     ), ! rcenter( U, X ), ! T = W, ! rpoint( W ), ! Z = V0, ! rpoint( V0 ), 
% 0.76/1.41    X = Y }.
% 0.76/1.41  { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X 
% 0.76/1.41    = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! 
% 0.76/1.41    rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! rR( Z, X, Y ), vplus( vg( X, Z
% 0.76/1.41    , T ), vg( T, Z, Y ) ) = vg( X, T, Y ) }.
% 0.76/1.41  { ron( T, U ), ! U = W, ! rline( W ), Z = T, Y = T, Y = Z, X = T, X = Z, X 
% 0.76/1.41    = Y, ! T = V0, ! rpoint( V0 ), ! Z = V1, ! rpoint( V1 ), ! Y = V2, ! 
% 0.76/1.41    rpoint( V2 ), ! X = V3, ! rpoint( V3 ), ! vplus( vg( X, Z, T ), vg( T, Z
% 0.76/1.41    , Y ) ) = vg( X, T, Y ), rR( Z, X, Y ) }.
% 0.76/1.41  { ! vangle( Z, X, Y ) = vangle( W, T, U ), ! vangle( Y, Z, X ) = vangle( U
% 0.76/1.41    , W, T ), ! vangle( X, Y, Z ) = vangle( T, U, W ), ! vf( Z, X ) = vf( W, 
% 0.76/1.41    T ), ! vf( Y, Z ) = vf( U, W ), ! vf( X, Y ) = vf( T, U ), ! W = V0, ! 
% 0.76/1.41    rpoint( V0 ), ! U = V1, ! rpoint( V1 ), ! T = V2, ! rpoint( V2 ), ! Z = 
% 0.76/1.41    V3, ! rpoint( V3 ), ! Y = V4, ! rpoint( V4 ), ! X = V5, ! rpoint( V5 ), 
% 0.76/1.41    vg( X, Y, Z ) = vg( T, U, W ) }.
% 0.76/1.41  { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, ! 
% 0.76/1.41    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! vg( X
% 0.76/1.41    , Y, Z ) = v0, ron( Z, T ) }.
% 0.76/1.41  { ! ron( Y, T ), ! ron( X, T ), X = Y, ! T = U, ! rline( U ), ! Z = W, ! 
% 0.76/1.41    rpoint( W ), ! Y = V0, ! rpoint( V0 ), ! X = V1, ! rpoint( V1 ), ! ron( Z
% 0.76/1.41    , T ), vg( X, Y, Z ) = v0 }.
% 0.76/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.41    vg( X, Y, Z ) = vg( X, Z, Y ) }.
% 0.76/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.41    vg( X, Y, Z ) = vg( Z, X, Y ) }.
% 0.76/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.41    rreal( skol48( V0, V1, V2 ) ) }.
% 0.76/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.41    vg( X, Y, Z ) = skol48( X, Y, Z ) }.
% 0.76/1.41  { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp, 
% 0.76/1.41    vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), ! 
% 0.76/1.41    ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, ! 
% 0.76/1.41    rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5, 
% 0.76/1.41    ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U 
% 0.76/1.41    = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), ! ron( Y, T ), ! ron( Y, 
% 0.76/1.41    Z ), rS( Y, X, T ) }.
% 0.76/1.41  { ! rless( vplus( vangle( X, U, W ), vangle( U, W, V0 ) ), vplus( vperp, 
% 0.76/1.41    vperp ) ), ! rS( X, V0, T ), U = W, ! ron( V0, V1 ), ! ron( W, V1 ), ! 
% 0.76/1.41    ron( W, T ), ! ron( U, T ), ! ron( U, Z ), ! ron( X, Z ), ! V1 = V2, ! 
% 0.76/1.41    rline( V2 ), ! T = V3, ! rline( V3 ), ! Z = V4, ! rline( V4 ), ! Y = V5, 
% 0.76/1.41    ! rpoint( V5 ), ! V0 = V6, ! rpoint( V6 ), ! W = V7, ! rpoint( V7 ), ! U 
% 0.76/1.41    = V8, ! rpoint( V8 ), ! X = V9, ! rpoint( V9 ), rintersect( Z, T ) }.
% 0.76/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.41    rgeq( vg( X, Y, Z ), v0 ) }.
% 0.76/1.41  { ! Y = Z, ! rpoint( Z ), ! X = T, ! rpoint( T ), vg( X, X, Y ) = v0 }.
% 0.76/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.41    rleq( vangle( X, Y, Z ), vplus( vperp, vperp ) ) }.
% 0.76/1.41  { ! Z = T, ! rpoint( T ), ! Y = U, ! rpoint( U ), ! X = W, ! rpoint( W ), 
% 0.76/1.41    rleq( v0, vangle( X, Y, Z ) ) }.
% 0.76/1.41  
% 0.76/1.41  *** allocated 15000 integers for clauses
% 0.76/1.41  *** allocated 22500 integers for clauses
% 0.76/1.41  percentage equality = 0.391304, percentage horn = 0.726064
% 0.76/1.41  This is a problem with some equality
% 0.76/1.41  
% 0.76/1.41  
% 0.76/1.41  
% 0.76/1.41  Options Used:
% 0.76/1.41  
% 0.76/1.41  useres =            1
% 0.76/1.41  useparamod =        1
% 0.76/1.41  useeqrefl =         1
% 0.76/1.41  useeqfact =         1
% 0.76/1.41  usefactor =         1
% 0.76/1.41  usesimpsplitting =  0
% 0.76/1.41  usesimpdemod =      5
% 0.76/1.41  usesimpres =        3
% 0.76/1.41  
% 0.76/1.41  resimpinuse      =  1000
% 0.76/1.41  resimpclauses =     20000
% 0.76/1.41  substype =          eqrewr
% 0.76/1.41  backwardsubs =      1
% 0.76/1.41  selectoldest =      5
% 0.76/1.41  
% 0.76/1.41  litorderings [0] =  split
% 0.76/1.41  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.76/1.41  
% 0.76/1.41  termordering =      kbo
% 0.76/1.41  
% 0.76/1.41  litapriori =        0
% 0.76/1.41  termapriori =       1
% 0.76/1.41  litaposteriori =    0
% 0.76/1.41  termaposteriori =   0
% 0.76/1.41  demodaposteriori =  0
% 0.76/1.41  ordereqreflfact =   0
% 0.76/1.41  
% 0.76/1.41  litselect =         negord
% 0.76/1.41  
% 0.76/1.41  maxweight =         15
% 0.76/1.41  maxdepth =          30000
% 0.76/1.41  maxlength =         115
% 0.76/1.41  maxnrvars =         195
% 0.76/1.41  excuselevel =       1
% 0.76/1.41  increasemaxweight = 1
% 0.76/1.41  
% 0.76/1.41  maxselected =       10000000
% 0.76/1.41  maxnrclauses =      10000000
% 0.76/1.41  
% 0.76/1.41  showgenerated =    0
% 0.76/1.41  showkept =         0
% 0.76/1.41  showselected =     0
% 0.76/1.41  showdeleted =      0
% 0.76/1.41  showresimp =       1
% 0.76/1.41  showstatus =       2000
% 0.76/1.41  
% 0.76/1.41  prologoutput =     0
% 0.76/1.41  nrgoals =          5000000
% 0.76/1.41  totalproof =       1
% 0.76/1.41  
% 0.76/1.41  Symbols occurring in the translation:
% 0.76/1.41  
% 0.76/1.41  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.76/1.41  .  [1, 2]      (w:1, o:808, a:1, s:1, b:0), 
% 0.76/1.41  !  [4, 1]      (w:0, o:784, a:1, s:1, b:0), 
% 0.76/1.41  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.41  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.41  vd1329  [35, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.76/1.41  vd1302  [36, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.76/1.41  vd1287  [37, 0]      (w:1, o:6, a:1, s:1, b:0), 
% 0.76/1.41  vd1295  [38, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.76/1.41  ron  [39, 2]      (w:1, o:832, a:1, s:1, b:0), 
% 0.76/1.41  vd1299  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.76/1.41  rR  [41, 3]      (w:1, o:864, a:1, s:1, b:0), 
% 0.76/1.41  rpoint  [42, 1]      (w:1, o:789, a:1, s:1, b:0), 
% 0.76/1.41  vd1300  [43, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.76/1.41  vf  [50, 2]      (w:1, o:833, a:1, s:1, b:0), 
% 0.76/1.41  vd1303  [51, 0]      (w:1, o:251, a:1, s:1, b:0), 
% 0.76/1.41  vd1289  [52, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.76/1.41  vd1288  [53, 0]      (w:1, o:7, a:1, s:1, b:0), 
% 0.76/1.41  rline  [54, 1]      (w:1, o:790, a:1, s:1, b:0), 
% 0.76/1.41  vd1297  [66, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.76/1.41  rless  [75, 2]      (w:1, o:834, a:1, s:1, b:0), 
% 0.76/1.41  vangle  [76, 3]      (w:1, o:865, a:1, s:1, b:0), 
% 0.76/1.41  vplus  [77, 2]      (w:1, o:835, a:1, s:1, b:0), 
% 0.76/1.41  vskolem1306  [78, 0]      (w:1, o:293, a:1, s:1, b:0), 
% 0.76/1.41  vskolem1120  [100, 8]      (w:1, o:930, a:1, s:1, b:0), 
% 0.76/1.41  v0  [114, 0]      (w:1, o:659, a:1, s:1, b:0), 
% 0.76/1.41  rreal  [124, 1]      (w:1, o:791, a:1, s:1, b:0), 
% 0.76/1.41  rS  [131, 3]      (w:1, o:866, a:1, s:1, b:0), 
% 0.76/1.41  rcenter  [158, 2]      (w:1, o:836, a:1, s:1, b:0), 
% 0.76/1.41  rinside  [161, 2]      (w:1, o:837, a:1, s:1, b:0), 
% 0.76/1.41  rintersect  [178, 2]      (w:1, o:838, a:1, s:1, b:0), 
% 0.76/1.41  rcircle  [184, 1]      (w:1, o:792, a:1, s:1, b:0), 
% 0.76/1.41  vskolem1078  [218, 4]      (w:1, o:897, a:1, s:1, b:0), 
% 0.76/1.41  vd684  [249, 0]      (w:1, o:718, a:1, s:1, b:0), 
% 0.76/1.41  vskolem1052  [262, 4]      (w:1, o:898, a:1, s:1, b:0), 
% 0.76/1.41  vd14  [681, 0]      (w:1, o:771, a:1, s:1, b:0), 
% 0.76/1.41  vtriangle  [686, 3]      (w:1, o:867, a:1, s:1, b:0), 
% 0.76/1.41  rtriangle  [687, 1]      (w:1, o:793, a:1, s:1, b:0), 
% 0.76/1.41  vperp  [742, 0]      (w:1, o:780, a:1, s:1, b:0), 
% 0.76/1.41  rleq  [747, 2]      (w:1, o:839, a:1, s:1, b:0), 
% 0.76/1.41  vg  [765, 3]      (w:1, o:868, a:1, s:1, b:0), 
% 0.76/1.41  rgeq  [821, 2]      (w:1, o:840, a:1, s:1, b:0), 
% 0.76/1.41  alpha1  [832, 3]      (w:1, o:869, a:1, s:1, b:1), 
% 0.76/1.41  alpha2  [833, 3]      (w:1, o:877, a:1, s:1, b:1), 
% 0.76/1.41  alpha3  [834, 3]      (w:1, o:880, a:1, s:1, b:1), 
% 0.76/1.41  alpha4  [835, 3]      (w:1, o:882, a:1, s:1, b:1), 
% 0.76/1.41  alpha5  [836, 3]      (w:1, o:885, a:1, s:1, b:1), 
% 0.76/1.41  alpha6  [837, 4]      (w:1, o:899, a:1, s:1, b:1), 
% 0.76/1.41  alpha7  [838, 2]      (w:1, o:841, a:1, s:1, b:1), 
% 0.76/1.41  alpha8  [839, 2]      (w:1, o:842, a:1, s:1, b:1), 
% 0.76/1.41  alpha9  [840, 2]      (w:1, o:843, a:1, s:1, b:1), 
% 0.76/1.41  alpha10  [841, 4]      (w:1, o:900, a:1, s:1, b:1), 
% 0.76/1.41  alpha11  [842, 4]      (w:1, o:901, a:1, s:1, b:1), 
% 0.76/1.41  alpha12  [843, 4]      (w:1, o:902, a:1, s:1, b:1), 
% 0.76/1.41  alpha13  [844, 3]      (w:1, o:870, a:1, s:1, b:1), 
% 0.76/1.41  alpha14  [845, 3]      (w:1, o:871, a:1, s:1, b:1), 
% 0.76/1.41  alpha15  [846, 3]      (w:1, o:872, a:1, s:1, b:1), 
% 2.34/2.74  alpha16  [847, 3]      (w:1, o:873, a:1, s:1, b:1), 
% 2.34/2.74  alpha17  [848, 3]      (w:1, o:874, a:1, s:1, b:1), 
% 2.34/2.74  alpha18  [849, 3]      (w:1, o:875, a:1, s:1, b:1), 
% 2.34/2.74  alpha19  [850, 3]      (w:1, o:876, a:1, s:1, b:1), 
% 2.34/2.74  alpha20  [851, 3]      (w:1, o:878, a:1, s:1, b:1), 
% 2.34/2.74  alpha21  [852, 3]      (w:1, o:879, a:1, s:1, b:1), 
% 2.34/2.74  alpha22  [853, 1]      (w:1, o:794, a:1, s:1, b:1), 
% 2.34/2.74  alpha23  [854, 1]      (w:1, o:795, a:1, s:1, b:1), 
% 2.34/2.74  alpha24  [855, 4]      (w:1, o:903, a:1, s:1, b:1), 
% 2.34/2.74  alpha25  [856, 4]      (w:1, o:904, a:1, s:1, b:1), 
% 2.34/2.74  alpha26  [857, 4]      (w:1, o:905, a:1, s:1, b:1), 
% 2.34/2.74  alpha27  [858, 4]      (w:1, o:906, a:1, s:1, b:1), 
% 2.34/2.74  alpha28  [859, 4]      (w:1, o:907, a:1, s:1, b:1), 
% 2.34/2.74  alpha29  [860, 1]      (w:1, o:796, a:1, s:1, b:1), 
% 2.34/2.74  alpha30  [861, 6]      (w:1, o:919, a:1, s:1, b:1), 
% 2.34/2.74  alpha31  [862, 4]      (w:1, o:908, a:1, s:1, b:1), 
% 2.34/2.74  alpha32  [863, 4]      (w:1, o:909, a:1, s:1, b:1), 
% 2.34/2.74  alpha33  [864, 1]      (w:1, o:797, a:1, s:1, b:1), 
% 2.34/2.74  alpha34  [865, 7]      (w:1, o:925, a:1, s:1, b:1), 
% 2.34/2.74  alpha35  [866, 6]      (w:1, o:920, a:1, s:1, b:1), 
% 2.34/2.74  alpha36  [867, 4]      (w:1, o:910, a:1, s:1, b:1), 
% 2.34/2.74  alpha37  [868, 4]      (w:1, o:911, a:1, s:1, b:1), 
% 2.34/2.74  alpha38  [869, 3]      (w:1, o:881, a:1, s:1, b:1), 
% 2.34/2.74  alpha39  [870, 10]      (w:1, o:931, a:1, s:1, b:1), 
% 2.34/2.74  alpha40  [871, 7]      (w:1, o:926, a:1, s:1, b:1), 
% 2.34/2.74  alpha41  [872, 6]      (w:1, o:921, a:1, s:1, b:1), 
% 2.34/2.74  alpha42  [873, 3]      (w:1, o:883, a:1, s:1, b:1), 
% 2.34/2.74  alpha43  [874, 7]      (w:1, o:927, a:1, s:1, b:1), 
% 2.34/2.74  alpha44  [875, 6]      (w:1, o:922, a:1, s:1, b:1), 
% 2.34/2.74  alpha45  [876, 3]      (w:1, o:884, a:1, s:1, b:1), 
% 2.34/2.74  alpha46  [877, 6]      (w:1, o:923, a:1, s:1, b:1), 
% 2.34/2.74  skol1  [878, 0]      (w:1, o:781, a:1, s:1, b:1), 
% 2.34/2.74  skol2  [879, 3]      (w:1, o:886, a:1, s:1, b:1), 
% 2.34/2.74  skol3  [880, 3]      (w:1, o:890, a:1, s:1, b:1), 
% 2.34/2.74  skol4  [881, 3]      (w:1, o:895, a:1, s:1, b:1), 
% 2.34/2.74  skol5  [882, 2]      (w:1, o:845, a:1, s:1, b:1), 
% 2.34/2.74  skol6  [883, 2]      (w:1, o:848, a:1, s:1, b:1), 
% 2.34/2.74  skol7  [884, 2]      (w:1, o:849, a:1, s:1, b:1), 
% 2.34/2.74  skol8  [885, 4]      (w:1, o:912, a:1, s:1, b:1), 
% 2.34/2.74  skol9  [886, 2]      (w:1, o:850, a:1, s:1, b:1), 
% 2.34/2.74  skol10  [887, 1]      (w:1, o:798, a:1, s:1, b:1), 
% 2.34/2.74  skol11  [888, 2]      (w:1, o:851, a:1, s:1, b:1), 
% 2.34/2.74  skol12  [889, 2]      (w:1, o:852, a:1, s:1, b:1), 
% 2.34/2.74  skol13  [890, 4]      (w:1, o:913, a:1, s:1, b:1), 
% 2.34/2.74  skol14  [891, 4]      (w:1, o:914, a:1, s:1, b:1), 
% 2.34/2.74  skol15  [892, 2]      (w:1, o:853, a:1, s:1, b:1), 
% 2.34/2.74  skol16  [893, 4]      (w:1, o:915, a:1, s:1, b:1), 
% 2.34/2.74  skol17  [894, 2]      (w:1, o:854, a:1, s:1, b:1), 
% 2.34/2.74  skol18  [895, 2]      (w:1, o:855, a:1, s:1, b:1), 
% 2.34/2.74  skol19  [896, 2]      (w:1, o:856, a:1, s:1, b:1), 
% 2.34/2.74  skol20  [897, 1]      (w:1, o:799, a:1, s:1, b:1), 
% 2.34/2.74  skol21  [898, 3]      (w:1, o:887, a:1, s:1, b:1), 
% 2.34/2.74  skol22  [899, 2]      (w:1, o:857, a:1, s:1, b:1), 
% 2.34/2.74  skol23  [900, 1]      (w:1, o:800, a:1, s:1, b:1), 
% 2.34/2.74  skol24  [901, 2]      (w:1, o:858, a:1, s:1, b:1), 
% 2.34/2.74  skol25  [902, 4]      (w:1, o:916, a:1, s:1, b:1), 
% 2.34/2.74  skol26  [903, 3]      (w:1, o:888, a:1, s:1, b:1), 
% 2.34/2.74  skol27  [904, 2]      (w:1, o:859, a:1, s:1, b:1), 
% 2.34/2.74  skol28  [905, 3]      (w:1, o:889, a:1, s:1, b:1), 
% 2.34/2.74  skol29  [906, 2]      (w:1, o:860, a:1, s:1, b:1), 
% 2.34/2.74  skol30  [907, 4]      (w:1, o:917, a:1, s:1, b:1), 
% 2.34/2.74  skol31  [908, 3]      (w:1, o:891, a:1, s:1, b:1), 
% 2.34/2.74  skol32  [909, 2]      (w:1, o:861, a:1, s:1, b:1), 
% 2.34/2.74  skol33  [910, 3]      (w:1, o:892, a:1, s:1, b:1), 
% 2.34/2.74  skol34  [911, 3]      (w:1, o:893, a:1, s:1, b:1), 
% 2.34/2.74  skol35  [912, 2]      (w:1, o:862, a:1, s:1, b:1), 
% 2.34/2.74  skol36  [913, 1]      (w:1, o:801, a:1, s:1, b:1), 
% 2.34/2.74  skol37  [914, 4]      (w:1, o:918, a:1, s:1, b:1), 
% 2.34/2.74  skol38  [915, 3]      (w:1, o:894, a:1, s:1, b:1), 
% 2.34/2.74  skol39  [916, 2]      (w:1, o:863, a:1, s:1, b:1), 
% 2.34/2.74  skol40  [917, 1]      (w:1, o:802, a:1, s:1, b:1), 
% 2.34/2.74  skol41  [918, 1]      (w:1, o:803, a:1, s:1, b:1), 
% 2.34/2.74  skol42  [919, 1]      (w:1, o:804, a:1, s:1, b:1), 
% 2.34/2.74  skol43  [920, 1]      (w:1, o:805, a:1, s:1, b:1), 
% 2.34/2.74  skol44  [921, 2]      (w:1, o:844, a:1, s:1, b:1), 
% 2.34/2.74  skol45  [922, 1]      (w:1, o:806, a:1, s:1, b:1), 
% 2.34/2.74  skol46  [923, 7]      (w:1, o:928, a:1, s:1, b:1), 
% 2.34/2.74  skol47  [924, 6]      (w:1, o:924, a:1, s:1, b:1), 
% 2.34/2.74  skol48  [925, 3]      (w:1, o:896, a:1, s:1, b:1), 
% 2.34/2.74  skol49  [926, 0]      (w:1, o:782, a:1, s:1, b:1), 
% 2.34/2.74  skol50  [927, 2]      (w:1, o:846, a:1, s:1, b:1), 
% 2.34/2.74  skol51  [928, 1]      (w:1, o:807, a:1, s:1, b:1), 
% 2.34/2.74  skol52  [929, 2]      (w:1, o:847, a:1, s:1, b:1), 
% 2.34/2.74  skol53  [930, 7]      (w:1, o:929, a:1, s:1, b:1), 
% 2.34/2.74  skol54  [931, 0]      (w:1, o:783, a:1, s:1, b:1).
% 2.34/2.74  
% 2.34/2.74  
% 2.34/2.74  Starting Search:
% 2.34/2.74  
% 2.34/2.74  *** allocated 33750 integers for clauses
% 2.34/2.74  *** allocated 50625 integers for clauses
% 2.34/2.74  *** allocated 75937 integers for termspace/termends
% 2.34/2.74  *** allocated 113905 integers for termspace/termends
% 2.34/2.74  *** allocated 75937 integers for clauses
% 2.34/2.74  *** allocated 113905 integers for clauses
% 2.34/2.74  *** allocated 170857 integers for termspace/termends
% 2.34/2.74  *** allocated 170857 integers for clauses
% 2.34/2.74  matchinglists is full
% 2.34/2.74  
% 2.34/2.74  Memory use:
% 2.34/2.74  
% 2.34/2.74  space for terms:        158333
% 2.34/2.74  space for clauses:      121136
% 2.34/2.74  
% 2.34/2.74  
% 2.34/2.74  clauses generated:      78639
% 2.34/2.74  clauses kept:           2514
% 2.34/2.74  clauses selected:       0
% 2.34/2.74  clauses deleted:        0
% 2.34/2.74  clauses inuse deleted:  0
% 2.34/2.74  
% 2.34/2.74  subsentry:          76820
% 2.34/2.74  literals s-matched: 53624
% 2.34/2.74  literals matched:   45240
% 2.34/2.74  full subsumption:   44826
% 2.34/2.74  
% 2.34/2.74  checksum:           -820372086
% 2.34/2.74  
% 2.34/2.74  
% 2.34/2.74  Bliksem ended
%------------------------------------------------------------------------------