TSTP Solution File: GEO519+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO519+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.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 02:54:29 EDT 2022

% Result   : Timeout 300.04s 300.40s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO519+1 : TPTP v8.1.0. Released v7.0.0.
% 0.08/0.14  % Command  : bliksem %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Sat Jun 18 01:53:14 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.86/1.33  *** allocated 10000 integers for termspace/termends
% 0.86/1.33  *** allocated 10000 integers for clauses
% 0.86/1.33  *** allocated 10000 integers for justifications
% 0.86/1.33  Bliksem 1.12
% 0.86/1.33  
% 0.86/1.33  
% 0.86/1.33  Automatic Strategy Selection
% 0.86/1.33  
% 0.86/1.33  *** allocated 15000 integers for termspace/termends
% 0.86/1.33  *** allocated 22500 integers for termspace/termends
% 0.86/1.33  *** allocated 33750 integers for termspace/termends
% 0.86/1.33  
% 0.86/1.33  Clauses:
% 0.86/1.33  
% 0.86/1.33  { s_e( X, Y, Y, X ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, T ), ! s_e( X, Y, U, W ), s_e( Z, T, U, W ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, Z ), X = Y }.
% 0.86/1.33  { s_t( X, Y, ext( X, Y, Z, T ) ) }.
% 0.86/1.33  { s_e( Y, ext( X, Y, Z, T ), Z, T ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, T ), ! s_e( Y, U, T, W ), ! s_e( X, V0, Z, V1 ), ! s_e( Y
% 0.86/1.33    , V0, T, V1 ), ! s_t( X, Y, U ), ! s_t( Z, T, W ), X = Y, s_e( U, V0, W, 
% 0.86/1.33    V1 ) }.
% 0.86/1.33  { ! s_t( X, Y, X ), X = Y }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( Y, ip( X, Y, Z, T, U ), T ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), s_t( U, ip( X, Y, Z, T, U ), X ) }.
% 0.86/1.33  { ! s_t( alpha, beta, gamma ) }.
% 0.86/1.33  { ! s_t( beta, gamma, alpha ) }.
% 0.86/1.33  { ! s_t( gamma, alpha, beta ) }.
% 0.86/1.33  { s_e( X, Y, X, Y ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, T ), s_e( Z, T, X, Y ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, T ), ! s_e( Z, T, U, W ), s_e( X, Y, U, W ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, T ), s_e( Y, X, Z, T ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, T ), s_e( X, Y, T, Z ) }.
% 0.86/1.33  { s_e( X, X, Y, Y ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Y, T, U ), ! s_e( Y, Z, U, 
% 0.86/1.33    W ), s_e( X, Z, T, W ) }.
% 0.86/1.33  { X = Y, ! s_t( X, Y, Z ), ! s_e( Y, Z, T, U ), Z = ext( X, Y, T, U ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, Z ), X = Y }.
% 0.86/1.33  { ! s_e( X, Y, Z, T ), s_e( Y, X, T, Z ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Y, U, W ), ! s_e( Y, Z, T, 
% 0.86/1.33    U ), s_e( X, Z, T, W ) }.
% 0.86/1.33  { s_t( X, Y, Y ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), s_t( Z, Y, X ) }.
% 0.86/1.33  { s_t( X, X, Y ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( Y, X, Z ), X = Y }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X, Y, T ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( Y, Z, T ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z, s_t( X, Z, T ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( Y, T, Z ), s_t( X, T, Z ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( X, Z, T ), s_t( X, Y, T ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( Y, Z, T ), Y = Z, s_t( X, Y, T ) }.
% 0.86/1.33  { ! alpha = beta }.
% 0.86/1.33  { ! beta = gamma }.
% 0.86/1.33  { ! alpha = gamma }.
% 0.86/1.33  { s_t( X, Y, ext( X, Y, alpha, gamma ) ) }.
% 0.86/1.33  { ! X = ext( Y, X, alpha, gamma ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X, W, T ), s_t( W, crossbar( X
% 0.86/1.33    , Y, Z, T, U, W ), Z ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, Z ), ! s_t( X, W, T ), s_t( Y, crossbar( X
% 0.86/1.33    , Y, Z, T, U, W ), U ) }.
% 0.86/1.33  { ! s_ifs( U, X, W, Y, V0, Z, V1, T ), s_e( X, Y, Z, T ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, W ), ! s_e( X, Z, T, W ), ! s_e( Y, Z, U, 
% 0.86/1.33    W ), s_e( X, Y, T, U ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_t( T, insert( X, Y, T, U ), U )
% 0.86/1.33     }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_e( X, Z, T, U ), s_e3( X, Y, Z, T, insert( X, Y, T
% 0.86/1.33    , U ), U ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_t( T, U, W ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), s_col( Y, Z, X ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), s_col( Z, X, Y ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), s_col( Z, Y, X ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), s_col( X, Z, Y ) }.
% 0.86/1.33  { s_col( X, X, Y ) }.
% 0.86/1.33  { s_col( X, Y, X ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_col( T, U, W ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_e( X, Y, T, U ), s_e3( X, Y, Z, T, U, insert5( X
% 0.86/1.33    , Y, Z, T, U ) ) }.
% 0.86/1.33  { ! s_fs( X, Y, Z, T, V0, V1, U, W ), X = Y, s_e( Z, T, U, W ) }.
% 0.86/1.33  { X = Y, ! s_col( X, Y, Z ), ! s_e( X, T, X, U ), ! s_e( Y, T, Y, U ), s_e
% 0.86/1.33    ( Z, T, Z, U ) }.
% 0.86/1.33  { X = Y, ! s_col( X, Y, Z ), ! s_e( X, Z, X, T ), ! s_e( Y, Z, Y, T ), Z = 
% 0.86/1.33    T }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_e( X, Y, X, T ), ! s_e( Z, Y, Z, T ), Y = T }.
% 0.86/1.33  { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ), s_t( X, Z, T ), s_t( X, T, Z )
% 0.86/1.33     }.
% 0.86/1.33  { X = Y, ! s_t( X, Y, Z ), ! s_t( X, Y, T ), s_t( Y, Z, T ), s_t( Y, T, Z )
% 0.86/1.33     }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( X, T, Z ), s_t( X, Y, T ), s_t( X, T, Y ) }.
% 0.86/1.33  { ! le( X, Y, Z, T ), s_t( X, Y, ins( Z, T, X, Y ) ) }.
% 0.86/1.33  { ! le( X, Y, Z, T ), s_e( X, ins( Z, T, X, Y ), Z, T ) }.
% 0.86/1.33  { ! le( X, Y, Z, T ), ins( Z, T, X, Y ) = ext( X, Y, insert( X, Y, Z, T ), 
% 0.86/1.33    T ) }.
% 0.86/1.33  { le( X, Y, Z, T ), ! s_t( X, Y, U ), ! s_e( X, U, Z, T ) }.
% 0.86/1.33  { ! le( X, Y, Z, T ), ! s_e( X, Y, U, W ), ! s_e( Z, T, V0, V1 ), le( U, W
% 0.86/1.33    , V0, V1 ) }.
% 0.86/1.33  { le( X, Y, X, Y ) }.
% 0.86/1.33  { ! le( X, Y, Z, T ), ! le( Z, T, U, W ), le( X, Y, U, W ) }.
% 0.86/1.33  { ! le( X, Y, Z, T ), ! le( Z, T, X, Y ), s_e( X, Y, Z, T ) }.
% 0.86/1.33  { le( X, Y, Z, T ), le( Z, T, X, Y ) }.
% 0.86/1.33  { le( X, X, Y, Z ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( X, Y, X, Z ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_t( X, Y, Z ), le( Y, Z, X, Z ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_e( X, Z, X, Y ), Z = Y }.
% 0.86/1.33  { ! s_col( X, Y, Z ), s_t( X, Y, Z ), ! le( X, Y, X, Z ), ! le( Y, Z, X, Z
% 0.86/1.33     ) }.
% 0.86/1.33  { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t( Z, Y, T ), sameside( X, Y, 
% 0.86/1.33    Z ) }.
% 0.86/1.33  { X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), s_t( Z, Y, T ), ! sameside( X, Y, 
% 0.86/1.33    Z ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), ! X = Y }.
% 0.86/1.33  { ! sameside( X, Y, Z ), ! Z = Y }.
% 0.86/1.33  { ! sameside( X, Y, Z ), ! c63( X, Y, Z ) = Y }.
% 0.86/1.33  { ! sameside( X, Y, Z ), s_t( X, Y, c63( X, Y, Z ) ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), s_t( Z, Y, c63( X, Y, Z ) ) }.
% 0.86/1.33  { sameside( X, Y, Z ), X = Y, Z = Y, T = Y, ! s_t( X, Y, T ), ! s_t( Z, Y, 
% 0.86/1.33    T ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), s_col( X, Y, Z ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 0.86/1.33  { sameside( X, Y, Z ), ! s_col( X, Y, Z ), s_t( X, Y, Z ) }.
% 0.86/1.33  { X = Y, sameside( X, Y, X ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), sameside( Z, Y, X ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), ! sameside( Z, Y, T ), sameside( X, Y, T ) }.
% 0.86/1.33  { X = Y, Z = T, sameside( insert( Z, T, Y, X ), Y, X ) }.
% 0.86/1.33  { X = Y, Z = T, s_e( Y, insert( Z, T, Y, X ), Z, T ) }.
% 0.86/1.33  { X = Y, Z = T, ! sameside( U, Y, X ), ! s_e( Y, U, Z, T ), ! sameside( W, 
% 0.86/1.33    Y, X ), ! s_e( Y, W, Z, T ), U = W }.
% 0.86/1.33  { ! sameside( X, Y, Z ), ! le( Y, X, Y, Z ), s_t( Y, X, Z ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), le( Y, X, Y, Z ), ! s_t( Y, X, Z ) }.
% 0.86/1.33  { X = Y, X = Z, ! s_t( Y, X, Z ), ! s_col( T, X, Y ), T = X, sameside( T, X
% 0.86/1.33    , Y ), sameside( T, X, Z ) }.
% 0.86/1.33  { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside( T, X, Y ), s_col( T, X, Y ) }
% 0.86/1.33    .
% 0.86/1.33  { X = Y, X = Z, ! s_t( Y, X, Z ), ! sameside( T, X, Z ), s_col( T, X, Y ) }
% 0.86/1.33    .
% 0.86/1.33  { X = Y, X = Z, ! s_t( Y, X, Z ), ! T = X, s_col( T, X, Y ) }.
% 0.86/1.33  { X = Y, ! s_t( Z, X, Y ), ! s_t( T, X, Y ), s_t( T, Z, Y ), s_t( Z, T, Y )
% 0.86/1.33     }.
% 0.86/1.33  { X = Y, Z = X, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), s_col( X, Z, T ) }
% 0.86/1.33    .
% 0.86/1.33  { X = Y, s_col( X, Y, X ) }.
% 0.86/1.33  { X = Y, ! s_col( X, Y, Z ), s_col( Y, X, Z ) }.
% 0.86/1.33  { X = Y, Z = T, ! s_col( Z, T, X ), ! s_col( Z, T, Y ), ! s_col( Z, T, U )
% 0.86/1.33    , s_col( X, Y, U ) }.
% 0.86/1.33  { X = Y, Z = T, ! s_col( X, Y, U ), ! s_col( Z, T, U ), ! s_col( X, Y, W )
% 0.86/1.33    , ! s_col( Z, T, W ), U = W, ! s_col( X, Y, V0 ), s_col( Z, T, V0 ) }.
% 0.86/1.33  { X = Y, ! s_col( X, Y, pointOffLine( X, Y ) ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), ! sameside( T, U, W ), ! s_e( Y, X, U, T ), ! s_e
% 0.86/1.33    ( Y, Z, U, W ), s_e( X, Z, T, W ) }.
% 0.86/1.33  { ! s_m( X, Y, Z ), s_m( Z, Y, X ) }.
% 0.86/1.33  { ! s_m( X, Y, X ), Y = X }.
% 0.86/1.33  { s_m( X, Y, X ), ! Y = X }.
% 0.86/1.33  { s_m( X, Y, s( Y, X ) ) }.
% 0.86/1.33  { ! s_m( X, Y, Z ), ! s_m( X, Y, T ), Z = T }.
% 0.86/1.33  { ! s_m( X, Y, Z ), Z = s( Y, X ) }.
% 0.86/1.33  { s( X, s( X, Y ) ) = Y }.
% 0.86/1.33  { ! s( X, Y ) = Z, ! s( X, T ) = Z, Y = T }.
% 0.86/1.33  { ! s( Z, X ) = s( Z, Y ), X = Y }.
% 0.86/1.33  { ! s( X, Y ) = Y, Y = X }.
% 0.86/1.33  { s( X, Y ) = Y, ! Y = X }.
% 0.86/1.33  { s_e( X, Y, s( Z, X ), s( Z, Y ) ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), s_t( s( T, X ), s( T, Y ), s( T, Z ) ) }.
% 0.86/1.33  { s_t( X, Y, Z ), ! s_t( s( T, X ), s( T, Y ), s( T, Z ) ) }.
% 0.86/1.33  { ! s_e( X, Y, Z, T ), s_e( s( U, X ), s( U, Y ), s( U, Z ), s( U, T ) ) }
% 0.86/1.33    .
% 0.86/1.33  { s_e( X, Y, Z, T ), ! s_e( s( U, X ), s( U, Y ), s( U, Z ), s( U, T ) ) }
% 0.86/1.33    .
% 0.86/1.33  { ! s_m( X, Y, Z ), ! s_m( X, T, Z ), Y = T }.
% 0.86/1.33  { ! s( X, Z ) = s( Y, Z ), X = Y }.
% 0.86/1.33  { ! s( X, s( Y, Z ) ) = s( Y, s( X, Z ) ), X = Y }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_e( Y, X, Y, Z ), X = Z, s_m( X, Y, Z ) }.
% 0.86/1.33  { s_col( X, Y, Z ), Y = T, ! s_e( X, Y, Z, T ), ! s_e( Y, Z, T, X ), ! 
% 0.86/1.33    s_col( X, U, Z ), ! s_col( Y, U, T ), s_m( X, U, Z ) }.
% 0.86/1.33  { ! s_kf( X, Y, W, Z, V0, T, U ), s_t( Y, Z, T ), ! le( Z, X, Z, U ) }.
% 0.86/1.33  { ! s_kf( T, X, U, Y, W, Z, V0 ), s_t( X, Y, Z ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, Y, U ), ! s_e( Y, X, Y, T ), ! s_e( Y, Z, Y, 
% 0.86/1.33    U ), ! s_m( X, W, T ), ! s_m( Z, V0, U ), s_t( W, Y, V0 ) }.
% 0.86/1.33  { ! s_e( X, Y, X, Z ), s_m( Y, isomidpoint( Y, Z, X ), Z ) }.
% 0.86/1.33  { ! s_r( X, Y, Z ), s_r( Z, Y, X ) }.
% 0.86/1.33  { ! s_r( X, Y, Z ), X = Y, ! s_col( Y, X, T ), s_r( T, Y, Z ) }.
% 0.86/1.33  { ! s_r( X, Y, Z ), s_r( X, Y, s( Y, Z ) ) }.
% 0.86/1.33  { s_r( X, Y, Y ) }.
% 0.86/1.33  { ! s_r( X, Y, Z ), ! s_r( T, Y, Z ), ! s_t( X, Z, T ), Y = Z }.
% 0.86/1.33  { ! s_r( X, Y, Z ), ! s_r( X, Z, Y ), Y = Z }.
% 0.86/1.33  { ! s_r( X, Y, X ), X = Y }.
% 0.86/1.33  { ! s_r( X, Y, Z ), ! s_col( X, Y, Z ), X = Y, Z = Y }.
% 0.86/1.33  { ! s_r( X, Y, Z ), ! s_e3( X, Y, Z, T, U, W ), s_r( T, U, W ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), perpAt( T, U, Z, X, Y ) }.
% 0.86/1.33  { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), ! X = Y }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), ! T = U }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), s_col( T, U, Z ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, Z ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, f813( X, Y, T, U, Z ) ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), s_col( T, U, g813( X, Y, T, U, Z ) ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), ! Z = f813( X, Y, T, U, Z ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), ! Z = g813( X, Y, T, U, Z ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), s_r( f813( X, Y, T, U, Z ), Z, g813( X, Y, T, 
% 0.86/1.33    U, Z ) ) }.
% 0.86/1.33  { X = Y, Z = T, ! s_col( Z, T, U ), ! s_col( X, Y, U ), ! s_col( X, Y, W )
% 0.86/1.33    , ! s_col( Z, T, V0 ), U = W, U = V0, ! s_r( W, U, V0 ), perpAt( X, Y, U
% 0.86/1.33    , Z, T ) }.
% 0.86/1.33  { ! perp( X, Y, Z, T ), ! s_col( X, Y, Z ), ! s_col( X, Y, T ) }.
% 0.86/1.33  { ! perp( X, Y, Z, T ), ! s_col( X, Y, U ), ! s_col( Z, T, U ), perpAt( X, 
% 0.86/1.33    Y, U, Z, T ) }.
% 0.86/1.33  { ! perpAt( X, Y, Z, T, U ), Z = il( X, Y, T, U ) }.
% 0.86/1.33  { X = Y, ! s_col( X, Y, Z ), ! perp( X, Y, T, Z ), perpAt( X, Y, Z, T, Z )
% 0.86/1.33     }.
% 0.86/1.33  { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, ! s_col( X, Y, U )
% 0.86/1.33    , ! perp( X, Y, U, Z ) }.
% 0.86/1.33  { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, s_r( U, Z, T ), ! 
% 0.86/1.33    perp( X, Y, U, Z ) }.
% 0.86/1.33  { X = Y, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), T = Z, perp( X, Y, U, Z )
% 0.86/1.33    , s_col( X, Y, U ), ! s_r( U, Z, T ) }.
% 0.86/1.33  { s_col( X, Y, Z ), ! s_col( X, Y, T ), ! s_col( X, Y, U ), ! perp( X, Y, Z
% 0.86/1.33    , T ), ! perp( X, Y, Z, U ), T = U }.
% 0.86/1.33  { s_col( X, Y, Z ), s_col( X, Y, foot( X, Y, Z ) ) }.
% 0.86/1.33  { s_col( X, Y, Z ), perp( X, Y, Z, foot( X, Y, Z ) ) }.
% 0.86/1.33  { ! s_r( X, Y, Z ), ! s_m( s( X, Z ), T, s( Y, Z ) ), s_r( Y, X, T ) }.
% 0.86/1.33  { ! s_r( X, Y, Z ), ! s_m( s( X, Z ), T, s( Y, Z ) ), Y = Z, ! X = T }.
% 0.86/1.33  { ! perp( X, Y, Z, T ), perp( Y, X, Z, T ) }.
% 0.86/1.33  { X = Y, Z = T, ! s_col( X, Y, Z ), ! s_col( X, Y, T ), ! s_col( Z, T, U )
% 0.86/1.33    , s_col( X, Y, U ) }.
% 0.86/1.33  { X = Y, perp( X, Y, erect21a( X, Y, Z ), X ), s_col( X, Y, Z ) }.
% 0.86/1.33  { X = Y, s_col( X, Y, erectAux21a( X, Y, Z ) ), s_col( X, Y, Z ) }.
% 0.86/1.33  { X = Y, s_t( Z, erectAux21a( X, Y, Z ), erect21a( X, Y, Z ) ), s_col( X, Y
% 0.86/1.33    , Z ) }.
% 0.86/1.33  { X = Y, perp( X, Y, erect( X, Y, Z ), X ) }.
% 0.86/1.33  { X = Y, s_col( X, Y, erectAux( X, Y, Z ) ) }.
% 0.86/1.33  { X = Y, s_t( Z, erectAux( X, Y, Z ), erect( X, Y, Z ) ) }.
% 0.86/1.33  { ! le( X, Y, Z, T ), ! perp( X, Z, X, Y ), ! perp( X, Z, Z, T ), ! s_t( Y
% 0.86/1.33    , U, T ), ! s_col( X, Z, U ), s_m( X, midpointAux( X, Z, Y, T, U ), Z ) }
% 0.86/1.33    .
% 0.86/1.33  { s_m( X, midpoint( X, Y ), Y ) }.
% 0.86/1.33  { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z ), ! s_col( Y, Z, U ), ! s_t( X
% 0.86/1.33    , U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z, W ), ! V0 = ip( X, U, T, Z, W
% 0.86/1.33     ), s_m( Y, V0, Z ) }.
% 0.86/1.33  { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z ), ! s_col( Y, Z, U ), ! s_t( X
% 0.86/1.33    , U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z, W ), ! V0 = ip( X, U, T, Z, W
% 0.86/1.33     ), s_m( X, V0, W ) }.
% 0.86/1.33  { ! perp( X, Y, Y, Z ), ! perp( T, Z, Y, Z ), ! s_col( Y, Z, U ), ! s_t( X
% 0.86/1.33    , U, T ), ! s_t( Z, W, T ), ! s_e( Y, X, Z, W ), s_m( X, midpoint( Y, Z )
% 0.86/1.33    , W ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), X = Y, s_col( X, Z, T ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z = T, X = Y, ! perpAt( Z, T, U, 
% 0.86/1.33    W, V0 ), perpAt( X, Y, U, W, V0 ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z = T, X = Y, ! perp( Z, T, U, W
% 0.86/1.33     ), perp( X, Y, U, W ) }.
% 0.86/1.33  { X = Y, X = Z, Y = Z, T = Z, X = T, ! perp( Y, X, X, Z ), ! s_col( X, Z, T
% 0.86/1.33     ), perp( Y, X, X, T ) }.
% 0.86/1.33  { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_col( X, Y, T ), Z = T, X = Y, perp( Z, T, U, W )
% 0.86/1.33    , ! perp( X, Y, U, W ) }.
% 0.86/1.33  { ! s_col( xa, xb, xp ), ! s_col( xa, xb, xq ), xp = xq, xa = xb, perp( xc
% 0.86/1.33    , xd, xp, xq ), ! perp( xc, xd, xa, xb ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), X = Y, X = Z, ! samesideline( T, U, X, Y ), 
% 0.86/1.33    samesideline( T, U, X, Z ) }.
% 0.86/1.33  { X = Y, ! samesideline( Z, T, X, Y ), samesideline( Z, T, Y, X ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), opposite( T, Y, Z, X ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U ), ! s_m( X, U, T ), ! s_col( 
% 0.86/1.33    Y, Z, W ), ! sameside( X, W, V0 ), opposite( V0, Y, Z, T ), ! s_t( W, V0
% 0.86/1.33    , X ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U ), ! s_m( X, U, T ), ! s_col( 
% 0.86/1.33    Y, Z, W ), ! sameside( X, W, V0 ), opposite( V0, Y, Z, T ) }.
% 0.86/1.33  { ! sameside( X, Y, Z ), sameside( s( T, X ), s( T, Y ), s( T, Z ) ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ), 
% 0.86/1.33    ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), ! sameside
% 0.86/1.33    ( V1, W, X ), ! le( U, T, W, X ), W = U, sameside( s( V0, V1 ), U, T ) }
% 0.86/1.33    .
% 0.86/1.33  { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ), 
% 0.86/1.33    ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), sameside( 
% 0.86/1.33    V1, W, X ), ! le( U, T, W, X ), W = U, ! sameside( s( V0, V1 ), U, T ) }
% 0.86/1.33    .
% 0.86/1.33  { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ), 
% 0.86/1.33    ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), ! sameside
% 0.86/1.33    ( V1, W, X ), ! W = U, sameside( s( V0, V1 ), U, T ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ), 
% 0.86/1.33    ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), ! sameside
% 0.86/1.33    ( V1, W, X ), sameside( s( V0, V1 ), U, T ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), Y = Z, ! s_col( Y, Z, U ), ! s_col( Y, Z, W ), 
% 0.86/1.33    ! perp( Y, Z, X, W ), ! perp( Y, Z, T, U ), ! s_m( W, V0, U ), ! sameside
% 0.86/1.33    ( V1, W, X ), ! sameside( V2, U, T ), opposite( V1, Y, Z, V2 ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), ! s_col( Y, Z, U ), ! sameside( X, U, W ), 
% 0.86/1.33    opposite( W, Y, Z, T ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, Y ), s_t( X, op( U, T, Z, Y, X ), T ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( T, U, Y ), s_t( Z, U, op( U, T, Z, Y, X ) ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), opposite( U, Y, Z, T ), ! samesideline( X, U, Y
% 0.86/1.33    , Z ) }.
% 0.86/1.33  { ! opposite( X, Y, Z, T ), ! samesideline( X, T, Y, Z ) }.
% 0.86/1.33  { ! skol1 = skol2 }.
% 0.86/1.33  { samesideline( skol3, skol4, skol1, skol2 ) }.
% 0.86/1.33  { samesideline( skol4, skol5, skol1, skol2 ) }.
% 0.86/1.33  { ! samesideline( skol3, skol5, skol1, skol2 ) }.
% 0.86/1.33  { insert( X, Y, Z, T ) = ext( ext( T, Z, alpha, gamma ), Z, X, Y ) }.
% 0.86/1.33  { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( X, Y, Z ) }.
% 0.86/1.33  { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_t( U, W, V0 ) }.
% 0.86/1.33  { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, Y, U, W ) }.
% 0.86/1.33  { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, Z, W, V0 ) }.
% 0.86/1.33  { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.86/1.33  { ! s_afs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, T, W, V1 ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e( X, Y, U, W ), ! s_e( Y, Z, W
% 0.86/1.33    , V0 ), ! s_e( X, T, U, V1 ), ! s_e( Y, T, W, V1 ), s_afs( X, Y, Z, T, U
% 0.86/1.33    , W, V0, V1 ) }.
% 0.86/1.33  { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( X, Y, Z ) }.
% 0.86/1.33  { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_t( U, W, V0 ) }.
% 0.86/1.33  { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, Z, U, V0 ) }.
% 0.86/1.33  { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, Z, W, V0 ) }.
% 0.86/1.33  { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.86/1.33  { ! s_ifs( X, Y, Z, T, U, W, V0, V1 ), s_e( Z, T, V0, V1 ) }.
% 0.86/1.33  { ! s_t( X, Y, Z ), ! s_t( U, W, V0 ), ! s_e( X, Z, U, V0 ), ! s_e( Y, Z, W
% 0.86/1.33    , V0 ), ! s_e( X, T, U, V1 ), ! s_e( Z, T, V0, V1 ), s_ifs( X, Y, Z, T, U
% 0.86/1.33    , W, V0, V1 ) }.
% 0.86/1.33  { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Y, T, U ) }.
% 0.86/1.33  { ! s_e3( X, Y, Z, T, U, W ), s_e( X, Z, T, W ) }.
% 0.86/1.33  { ! s_e3( X, Y, Z, T, U, W ), s_e( Y, Z, U, W ) }.
% 0.86/1.33  { ! s_e( X, Y, T, U ), ! s_e( X, Z, T, W ), ! s_e( Y, Z, U, W ), s_e3( X, Y
% 0.86/1.33    , Z, T, U, W ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), s_t( X, Y, Z ), s_t( Y, Z, X ), s_t( Z, X, Y ) }.
% 0.86/1.33  { s_col( X, Y, Z ), ! s_t( X, Y, Z ) }.
% 0.86/1.33  { s_col( X, Y, Z ), ! s_t( Y, Z, X ) }.
% 0.86/1.33  { s_col( X, Y, Z ), ! s_t( Z, X, Y ) }.
% 0.86/1.33  { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_col( X, Y, Z ) }.
% 0.86/1.33  { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e3( X, Y, Z, U, W, V0 ) }.
% 0.86/1.33  { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( X, T, U, V1 ) }.
% 0.86/1.33  { ! s_fs( X, Y, Z, T, U, W, V0, V1 ), s_e( Y, T, W, V1 ) }.
% 0.86/1.33  { ! s_col( X, Y, Z ), ! s_e3( X, Y, Z, U, W, V0 ), ! s_e( X, T, U, V1 ), ! 
% 0.86/1.33    s_e( Y, T, W, V1 ), s_fs( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.86/1.33  { ! le( X, Y, Z, T ), s_t( Z, insert( X, Y, Z, T ), T ) }.
% 1.40/1.75  { ! le( X, Y, Z, T ), s_e( X, Y, Z, insert( X, Y, Z, T ) ) }.
% 1.40/1.75  { ! s_t( Z, U, T ), ! s_e( X, Y, Z, U ), le( X, Y, Z, T ) }.
% 1.40/1.75  { ! sameside( X, Y, Z ), ! X = Y }.
% 1.40/1.75  { ! sameside( X, Y, Z ), ! Z = Y }.
% 1.40/1.75  { ! sameside( X, Y, Z ), s_t( Y, X, Z ), s_t( Y, Z, X ) }.
% 1.40/1.75  { ! s_t( Y, X, Z ), X = Y, xb = Y, sameside( X, Y, Z ) }.
% 1.40/1.75  { ! s_t( Y, Z, X ), X = Y, Z = Y, sameside( X, Y, Z ) }.
% 1.40/1.75  { ! s_m( X, Y, Z ), s_t( X, Y, Z ) }.
% 1.40/1.75  { ! s_m( X, Y, Z ), s_e( Y, X, Y, Z ) }.
% 1.40/1.75  { ! s_t( X, Y, Z ), ! s_e( Y, X, Y, Z ), s_m( X, Y, Z ) }.
% 1.40/1.75  { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( X, T, V0 ) }.
% 1.40/1.75  { ! s_kf( X, Y, Z, T, U, W, V0 ), s_t( Z, T, U ) }.
% 1.40/1.75  { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, X, T, Z ) }.
% 1.40/1.75  { ! s_kf( X, Y, Z, T, U, W, V0 ), s_e( T, V0, T, U ) }.
% 1.40/1.75  { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( X, Y, Z ) }.
% 1.40/1.75  { ! s_kf( X, Y, Z, T, U, W, V0 ), s_m( V0, W, U ) }.
% 1.40/1.75  { ! s_t( X, T, V0 ), ! s_t( Z, T, U ), ! s_e( T, X, T, Z ), ! s_e( T, V0, T
% 1.40/1.75    , U ), ! s_m( X, Y, Z ), ! s_m( V0, W, U ), s_kf( X, Y, Z, T, U, W, V0 )
% 1.40/1.75     }.
% 1.40/1.75  { ! s_r( X, Y, Z ), s_e( X, Z, X, s( Y, Z ) ) }.
% 1.40/1.75  { s_r( X, Y, Z ), ! s_e( X, Z, X, s( Y, Z ) ) }.
% 1.40/1.75  { ! perpAt( X, Y, Z, T, U ), s_col( X, Y, Z ) }.
% 1.40/1.75  { ! perpAt( X, Y, Z, T, U ), s_col( T, U, Z ) }.
% 1.40/1.75  { ! perpAt( X, Y, Z, T, U ), ! X = Y }.
% 1.40/1.75  { ! perpAt( X, Y, Z, T, U ), ! T = U }.
% 1.40/1.75  { ! perpAt( X, Y, Z, T, U ), ! s_col( X, Y, W ), ! s_col( T, U, V0 ), s_r( 
% 1.40/1.75    W, Z, V0 ) }.
% 1.40/1.75  { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 1.40/1.75    , Z ), s_col( X, Y, f811( X, Y, T, U, Z ) ) }.
% 1.40/1.75  { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 1.40/1.75    , Z ), s_col( T, U, g811( X, Y, T, U, Z ) ) }.
% 1.40/1.75  { perpAt( X, Y, Z, T, U ), X = Y, T = U, ! s_col( X, Y, Z ), ! s_col( T, U
% 1.40/1.75    , Z ), ! s_r( f811( X, Y, T, U, Z ), Z, g811( X, Y, T, U, Z ) ) }.
% 1.40/1.75  { ! perp( X, Y, Z, T ), perpAt( X, Y, il( X, Y, Z, T ), Z, T ) }.
% 1.40/1.75  { perp( X, Y, Z, T ), ! perpAt( X, Y, U, Z, T ) }.
% 1.40/1.75  { X = Y, s_col( X, Y, Z ), s_col( X, Y, T ), ! s_t( Z, U, T ), ! s_col( X, 
% 1.40/1.75    Y, U ), opposite( Z, X, Y, T ) }.
% 1.40/1.75  { ! opposite( Z, X, Y, T ), ! s_col( X, Y, Z ) }.
% 1.40/1.75  { ! opposite( Z, X, Y, T ), ! s_col( X, Y, T ) }.
% 1.40/1.75  { ! opposite( Z, X, Y, T ), s_t( Z, il( Z, T, X, Y ), T ) }.
% 1.40/1.75  { ! opposite( Z, X, Y, T ), s_col( X, Y, il( Z, T, X, Y ) ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), s_col( Z, T, ss1( X, Y, Z, T ) ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), s_col( Z, T, ss2( X, Y, Z, T ) ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), s_t( X, ss1( X, Y, Z, T ), ss3( X, Y, Z, T
% 1.40/1.75     ) ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), s_t( Y, ss2( X, Y, Z, T ), ss3( X, Y, Z, T
% 1.40/1.75     ) ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), ! X = ss1( X, Y, Z, T ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), ! Y = ss2( X, Y, Z, T ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), ! ss3( X, Y, Z, T ) = ss1( X, Y, Z, T ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), ! ss3( X, Y, Z, T ) = ss2( X, Y, Z, T ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), ! Z = T }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), ! s_col( Z, T, X ) }.
% 1.40/1.75  { ! samesideline( X, Y, Z, T ), ! s_col( Z, T, Y ) }.
% 1.40/1.75  { ! s_t( X, U, W ), ! s_t( Y, V0, W ), ! s_col( Z, T, U ), ! s_col( Z, T, 
% 1.40/1.75    V0 ), Z = T, W = U, W = V0, X = U, Y = V0, s_col( Z, T, X ), s_col( Z, T
% 1.40/1.75    , Y ), samesideline( X, Y, Z, T ) }.
% 1.40/1.75  
% 1.40/1.75  *** allocated 15000 integers for clauses
% 1.40/1.75  percentage equality = 0.186683, percentage horn = 0.755639
% 1.40/1.75  This is a problem with some equality
% 1.40/1.75  
% 1.40/1.75  
% 1.40/1.75  
% 1.40/1.75  Options Used:
% 1.40/1.75  
% 1.40/1.75  useres =            1
% 1.40/1.75  useparamod =        1
% 1.40/1.75  useeqrefl =         1
% 1.40/1.75  useeqfact =         1
% 1.40/1.75  usefactor =         1
% 1.40/1.75  usesimpsplitting =  0
% 1.40/1.75  usesimpdemod =      5
% 1.40/1.75  usesimpres =        3
% 1.40/1.75  
% 1.40/1.75  resimpinuse      =  1000
% 1.40/1.75  resimpclauses =     20000
% 1.40/1.75  substype =          eqrewr
% 1.40/1.75  backwardsubs =      1
% 1.40/1.75  selectoldest =      5
% 1.40/1.75  
% 1.40/1.75  litorderings [0] =  split
% 1.40/1.75  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.40/1.75  
% 1.40/1.75  termordering =      kbo
% 1.40/1.75  
% 1.40/1.75  litapriori =        0
% 1.40/1.75  termapriori =       1
% 1.40/1.75  litaposteriori =    0
% 1.40/1.75  termaposteriori =   0
% 1.40/1.75  demodaposteriori =  0
% 1.40/1.75  ordereqreflfact =   0
% 1.40/1.75  
% 1.40/1.75  litselect =         negord
% 1.40/1.75  
% 1.40/1.75  maxweight =         15
% 1.40/1.75  maxdepth =          30000
% 1.40/1.75  maxlength =         115
% 1.40/1.75  maxnrvars =         195
% 1.40/1.75  excuselevel =       1
% 1.40/1.75  increasemaxweight = 1
% 1.40/1.75  
% 1.40/1.75  maxselected =       10000000
% 1.40/1.75  maxnrclauses =      10000000
% 45.09/45.44  
% 45.09/45.44  showgenerated =    0
% 45.09/45.44  showkept =         0
% 45.09/45.44  showselected =     0
% 45.09/45.44  showdeleted =      0
% 45.09/45.44  showresimp =       1
% 45.09/45.44  showstatus =       2000
% 45.09/45.44  
% 45.09/45.44  prologoutput =     0
% 45.09/45.44  nrgoals =          5000000
% 45.09/45.44  totalproof =       1
% 45.09/45.44  
% 45.09/45.44  Symbols occurring in the translation:
% 45.09/45.44  
% 45.09/45.44  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 45.09/45.44  .  [1, 2]      (w:1, o:71, a:1, s:1, b:0), 
% 45.09/45.44  !  [4, 1]      (w:0, o:66, a:1, s:1, b:0), 
% 45.09/45.44  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 45.09/45.44  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 45.09/45.44  s_e  [37, 4]      (w:1, o:110, a:1, s:1, b:0), 
% 45.09/45.44  ext  [43, 4]      (w:1, o:111, a:1, s:1, b:0), 
% 45.09/45.44  s_t  [44, 3]      (w:1, o:98, a:1, s:1, b:0), 
% 45.09/45.44  ip  [54, 5]      (w:1, o:122, a:1, s:1, b:0), 
% 45.09/45.44  alpha  [55, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 45.09/45.44  beta  [56, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 45.09/45.44  gamma  [57, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 45.09/45.44  crossbar  [67, 6]      (w:1, o:131, a:1, s:1, b:0), 
% 45.09/45.44  s_ifs  [69, 8]      (w:1, o:134, a:1, s:1, b:0), 
% 45.09/45.44  insert  [70, 4]      (w:1, o:112, a:1, s:1, b:0), 
% 45.09/45.44  s_e3  [71, 6]      (w:1, o:132, a:1, s:1, b:0), 
% 45.09/45.44  s_col  [72, 3]      (w:1, o:99, a:1, s:1, b:0), 
% 45.09/45.44  insert5  [73, 5]      (w:1, o:123, a:1, s:1, b:0), 
% 45.09/45.44  s_fs  [74, 8]      (w:1, o:135, a:1, s:1, b:0), 
% 45.09/45.44  le  [75, 4]      (w:1, o:113, a:1, s:1, b:0), 
% 45.09/45.44  ins  [76, 4]      (w:1, o:114, a:1, s:1, b:0), 
% 45.09/45.44  sameside  [77, 3]      (w:1, o:100, a:1, s:1, b:0), 
% 45.09/45.44  c63  [78, 3]      (w:1, o:101, a:1, s:1, b:0), 
% 45.09/45.44  pointOffLine  [81, 2]      (w:1, o:95, a:1, s:1, b:0), 
% 45.09/45.44  s_m  [83, 3]      (w:1, o:102, a:1, s:1, b:0), 
% 45.09/45.44  s  [84, 2]      (w:1, o:96, a:1, s:1, b:0), 
% 45.09/45.44  s_kf  [89, 7]      (w:1, o:133, a:1, s:1, b:0), 
% 45.09/45.44  isomidpoint  [90, 3]      (w:1, o:103, a:1, s:1, b:0), 
% 45.09/45.44  s_r  [91, 3]      (w:1, o:104, a:1, s:1, b:0), 
% 45.09/45.44  perpAt  [92, 5]      (w:1, o:125, a:1, s:1, b:0), 
% 45.09/45.44  perp  [93, 4]      (w:1, o:116, a:1, s:1, b:0), 
% 45.09/45.44  f813  [94, 5]      (w:1, o:126, a:1, s:1, b:0), 
% 45.09/45.44  g813  [95, 5]      (w:1, o:128, a:1, s:1, b:0), 
% 45.09/45.44  il  [98, 4]      (w:1, o:117, a:1, s:1, b:0), 
% 45.09/45.44  foot  [99, 3]      (w:1, o:109, a:1, s:1, b:0), 
% 45.09/45.44  erect21a  [100, 3]      (w:1, o:105, a:1, s:1, b:0), 
% 45.09/45.44  erectAux21a  [101, 3]      (w:1, o:106, a:1, s:1, b:0), 
% 45.09/45.44  erect  [102, 3]      (w:1, o:107, a:1, s:1, b:0), 
% 45.09/45.44  erectAux  [103, 3]      (w:1, o:108, a:1, s:1, b:0), 
% 45.09/45.44  midpointAux  [105, 5]      (w:1, o:129, a:1, s:1, b:0), 
% 45.09/45.44  midpoint  [106, 2]      (w:1, o:97, a:1, s:1, b:0), 
% 45.09/45.44  xa  [107, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 45.09/45.44  xb  [108, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 45.09/45.44  xp  [109, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 45.09/45.44  xq  [110, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 45.09/45.44  xc  [111, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 45.09/45.44  xd  [112, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 45.09/45.44  samesideline  [113, 4]      (w:1, o:118, a:1, s:1, b:0), 
% 45.09/45.44  opposite  [114, 4]      (w:1, o:115, a:1, s:1, b:0), 
% 45.09/45.44  op  [115, 5]      (w:1, o:124, a:1, s:1, b:0), 
% 45.09/45.44  s_afs  [120, 8]      (w:1, o:136, a:1, s:1, b:0), 
% 45.09/45.44  f811  [123, 5]      (w:1, o:127, a:1, s:1, b:0), 
% 45.09/45.44  g811  [124, 5]      (w:1, o:130, a:1, s:1, b:0), 
% 45.09/45.44  ss1  [129, 4]      (w:1, o:119, a:1, s:1, b:0), 
% 45.09/45.44  ss2  [130, 4]      (w:1, o:120, a:1, s:1, b:0), 
% 45.09/45.44  ss3  [131, 4]      (w:1, o:121, a:1, s:1, b:0), 
% 45.09/45.44  skol1  [132, 0]      (w:1, o:61, a:1, s:1, b:1), 
% 45.09/45.44  skol2  [133, 0]      (w:1, o:62, a:1, s:1, b:1), 
% 45.09/45.44  skol3  [134, 0]      (w:1, o:63, a:1, s:1, b:1), 
% 45.09/45.44  skol4  [135, 0]      (w:1, o:64, a:1, s:1, b:1), 
% 45.09/45.44  skol5  [136, 0]      (w:1, o:65, a:1, s:1, b:1).
% 45.09/45.44  
% 45.09/45.44  
% 45.09/45.44  Starting Search:
% 45.09/45.44  
% 45.09/45.44  *** allocated 22500 integers for clauses
% 45.09/45.44  *** allocated 33750 integers for clauses
% 45.09/45.44  *** allocated 50625 integers for clauses
% 45.09/45.44  *** allocated 50625 integers for termspace/termends
% 45.09/45.44  Resimplifying inuse:
% 45.09/45.44  Done
% 45.09/45.44  
% 45.09/45.44  *** allocated 75937 integers for clauses
% 45.09/45.44  *** allocated 113905 integers for clauses
% 45.09/45.44  *** allocated 75937 integers for termspace/termends
% 45.09/45.44  
% 45.09/45.44  Intermediate Status:
% 45.09/45.44  Generated:    10936
% 45.09/45.44  Kept:         2000
% 45.09/45.44  Inuse:        94
% 45.09/45.44  Deleted:      0
% 45.09/45.44  Deletedinuse: 0
% 45.09/45.44  
% 45.09/45.44  Resimplifying inuse:
% 45.09/45.44  Done
% 45.09/45.44  
% 45.09/45.44  *** allocated 170857 integers for clauses
% 45.09/45.44  Resimplifying inuse:
% 45.09/45.44  Done
% 45.09/45.44  
% 45.09/45.44  *** allocated 113905 integers for termspace/termends
% 45.09/45.44  *** allocated 256285 integers for clauses
% 45.09/45.44  
% 45.09/45.44  Intermediate Status:
% 45.09/45.44  Generated:    19348
% 45.09/45.44  Kept:         4004
% 45.09/45.44  Inuse:        148
% 45.09/45.44  Deleted:      4
% 45.09/45.44  Deletedinuse: 0
% 45.09/45.44  
% 45.09/45.44  Resimplifying inuse:
% 45.09/45.44  Done
% 45.09/45.44  
% 45.09/45.44  *** allocated 170857 integers for termspace/termends
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  *** allocated 384427 integers for clauses
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    31097
% 201.94/202.35  Kept:         6029
% 201.94/202.35  Inuse:        210
% 201.94/202.35  Deleted:      12
% 201.94/202.35  Deletedinuse: 0
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    41043
% 201.94/202.35  Kept:         8061
% 201.94/202.35  Inuse:        259
% 201.94/202.35  Deleted:      12
% 201.94/202.35  Deletedinuse: 0
% 201.94/202.35  
% 201.94/202.35  *** allocated 256285 integers for termspace/termends
% 201.94/202.35  *** allocated 576640 integers for clauses
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    53429
% 201.94/202.35  Kept:         10061
% 201.94/202.35  Inuse:        289
% 201.94/202.35  Deleted:      14
% 201.94/202.35  Deletedinuse: 0
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    68204
% 201.94/202.35  Kept:         12106
% 201.94/202.35  Inuse:        324
% 201.94/202.35  Deleted:      14
% 201.94/202.35  Deletedinuse: 0
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  *** allocated 864960 integers for clauses
% 201.94/202.35  *** allocated 384427 integers for termspace/termends
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    82393
% 201.94/202.35  Kept:         14115
% 201.94/202.35  Inuse:        344
% 201.94/202.35  Deleted:      14
% 201.94/202.35  Deletedinuse: 0
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    112507
% 201.94/202.35  Kept:         16115
% 201.94/202.35  Inuse:        370
% 201.94/202.35  Deleted:      15
% 201.94/202.35  Deletedinuse: 0
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  *** allocated 576640 integers for termspace/termends
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    150949
% 201.94/202.35  Kept:         19626
% 201.94/202.35  Inuse:        395
% 201.94/202.35  Deleted:      17
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  *** allocated 1297440 integers for clauses
% 201.94/202.35  Resimplifying clauses:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    164310
% 201.94/202.35  Kept:         22259
% 201.94/202.35  Inuse:        415
% 201.94/202.35  Deleted:      245
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    181172
% 201.94/202.35  Kept:         25987
% 201.94/202.35  Inuse:        430
% 201.94/202.35  Deleted:      245
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    193636
% 201.94/202.35  Kept:         28083
% 201.94/202.35  Inuse:        450
% 201.94/202.35  Deleted:      245
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  *** allocated 864960 integers for termspace/termends
% 201.94/202.35  *** allocated 1946160 integers for clauses
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    208287
% 201.94/202.35  Kept:         30736
% 201.94/202.35  Inuse:        465
% 201.94/202.35  Deleted:      245
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    223844
% 201.94/202.35  Kept:         32883
% 201.94/202.35  Inuse:        475
% 201.94/202.35  Deleted:      245
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    242813
% 201.94/202.35  Kept:         34922
% 201.94/202.35  Inuse:        496
% 201.94/202.35  Deleted:      245
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    262261
% 201.94/202.35  Kept:         37850
% 201.94/202.35  Inuse:        517
% 201.94/202.35  Deleted:      253
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    276064
% 201.94/202.35  Kept:         39898
% 201.94/202.35  Inuse:        530
% 201.94/202.35  Deleted:      253
% 201.94/202.35  Deletedinuse: 1
% 201.94/202.35  
% 201.94/202.35  Resimplifying clauses:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    292189
% 201.94/202.35  Kept:         41944
% 201.94/202.35  Inuse:        560
% 201.94/202.35  Deleted:      478
% 201.94/202.35  Deletedinuse: 2
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    307378
% 201.94/202.35  Kept:         44010
% 201.94/202.35  Inuse:        584
% 201.94/202.35  Deleted:      478
% 201.94/202.35  Deletedinuse: 2
% 201.94/202.35  
% 201.94/202.35  *** allocated 1297440 integers for termspace/termends
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  *** allocated 2919240 integers for clauses
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    363936
% 201.94/202.35  Kept:         46054
% 201.94/202.35  Inuse:        601
% 201.94/202.35  Deleted:      480
% 201.94/202.35  Deletedinuse: 2
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    397889
% 201.94/202.35  Kept:         48113
% 201.94/202.35  Inuse:        619
% 201.94/202.35  Deleted:      481
% 201.94/202.35  Deletedinuse: 2
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    422815
% 201.94/202.35  Kept:         50600
% 201.94/202.35  Inuse:        639
% 201.94/202.35  Deleted:      481
% 201.94/202.35  Deletedinuse: 2
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  Generated:    429427
% 201.94/202.35  Kept:         53077
% 201.94/202.35  Inuse:        643
% 201.94/202.35  Deleted:      481
% 201.94/202.35  Deletedinuse: 2
% 201.94/202.35  
% 201.94/202.35  Resimplifying inuse:
% 201.94/202.35  Done
% 201.94/202.35  
% 201.94/202.35  
% 201.94/202.35  Intermediate Status:
% 201.94/202.35  GeneratCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------