TSTP Solution File: SWV167+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV167+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 : Wed Jul 20 16:22:47 EDT 2022

% Result   : Theorem 163.96s 164.34s
% Output   : Refutation 163.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV167+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Wed Jun 15 13:52:02 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.74/1.10  *** allocated 10000 integers for termspace/termends
% 0.74/1.10  *** allocated 10000 integers for clauses
% 0.74/1.10  *** allocated 10000 integers for justifications
% 0.74/1.10  Bliksem 1.12
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Automatic Strategy Selection
% 0.74/1.10  
% 0.74/1.10  *** allocated 15000 integers for termspace/termends
% 0.74/1.10  
% 0.74/1.10  Clauses:
% 0.74/1.10  
% 0.74/1.10  { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.74/1.10  { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.74/1.10  { ! gt( X, X ) }.
% 0.74/1.10  { leq( X, X ) }.
% 0.74/1.10  { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.74/1.10  { ! lt( X, Y ), gt( Y, X ) }.
% 0.74/1.10  { ! gt( Y, X ), lt( X, Y ) }.
% 0.74/1.10  { ! geq( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( Y, X ), geq( X, Y ) }.
% 0.74/1.10  { ! gt( Y, X ), leq( X, Y ) }.
% 0.74/1.10  { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.74/1.10  { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.74/1.10  { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.74/1.10  { gt( succ( X ), X ) }.
% 0.74/1.10  { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.74/1.10  { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.74/1.10  { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.74/1.10  { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.74/1.10  { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.74/1.10  { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ), 
% 0.74/1.10    T ), X ) = T }.
% 0.74/1.10  { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3( 
% 0.74/1.10    tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.74/1.10  { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.10     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) = 
% 0.74/1.10    a_select3( trans( X ), T, Z ) }.
% 0.74/1.10  { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.74/1.10    , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.74/1.10    leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.74/1.10     ) }.
% 0.74/1.10  { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.74/1.10  { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.74/1.10  { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.74/1.10  { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.10     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) = 
% 0.74/1.10    a_select3( inv( X ), T, Z ) }.
% 0.74/1.10  { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.74/1.10    , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.74/1.10    leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.74/1.10    .
% 0.74/1.10  { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.74/1.10  { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.74/1.10  { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.74/1.10  { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.10     ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), 
% 0.74/1.10    a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3( 
% 0.74/1.10    X, U, U, W ), T, Z ) }.
% 0.74/1.10  { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.74/1.10    , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.74/1.10    leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.74/1.10    , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.74/1.10  { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.74/1.10  { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.74/1.10  { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.74/1.10  { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.74/1.10     ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.74/1.10    , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.74/1.10  { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) = 
% 0.74/1.10    a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T, 
% 0.74/1.10    Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U ) 
% 0.74/1.10    = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.74/1.10  { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.74/1.10  { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.74/1.10  { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.74/1.10  { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.74/1.10  { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) = 
% 0.74/1.10    a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.74/1.10  { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.74/1.10    ( X, Y ) }.
% 0.74/1.10  { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.74/1.10  { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.74/1.10  { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.74/1.10  { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.74/1.10     ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.74/1.10    , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.74/1.10  { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) = 
% 0.74/1.10    a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T, 
% 0.74/1.10    Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U ) 
% 0.74/1.10    = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.74/1.10  { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.74/1.10  { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.74/1.10  { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.74/1.10  { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.74/1.10  { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) = 
% 0.74/1.10    a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.74/1.10  { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.74/1.10    ( X, Y ) }.
% 0.74/1.10  { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.74/1.10  { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.74/1.10  { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.74/1.10  { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.74/1.10     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.74/1.10    , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( 
% 0.74/1.10    U ) ) ), T, Z ) }.
% 0.74/1.10  { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.74/1.10    , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.74/1.10    leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.74/1.10     ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.74/1.10  { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.74/1.10  { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.74/1.10  { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.74/1.10  { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.74/1.10     ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.74/1.10    , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( 
% 0.74/1.10    W ) ) ), T, Z ) }.
% 0.74/1.10  { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.74/1.10    , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! 
% 0.74/1.10    leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.74/1.10     ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.74/1.10  { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.74/1.10  { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.74/1.10  { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.74/1.10  { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.74/1.10     ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ), 
% 0.74/1.10    a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( 
% 0.74/1.10    V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.74/1.10     ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.74/1.10    ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.74/1.10    , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.74/1.10     ) }.
% 0.74/1.10  { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z, 
% 0.74/1.10    T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.74/1.10     leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, 
% 0.74/1.10    tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( 
% 0.74/1.10    V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.74/1.10     ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.74/1.10    ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.74/1.10    ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.74/1.10  { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.74/1.10  { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.74/1.10  { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.74/1.10  { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.74/1.10  { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) = 
% 0.74/1.10    a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.74/1.10  { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), 
% 0.74/1.10    alpha19( X, Y ) }.
% 0.74/1.10  { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.74/1.10  { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.74/1.10  { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.74/1.10  { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.74/1.10  { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) = 
% 0.74/1.10    a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.74/1.10  { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.74/1.10     ), alpha8( X ) }.
% 0.74/1.10  { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.74/1.10  { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.74/1.10  { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.74/1.10  { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.74/1.10  { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.74/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.74/1.10  { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.74/1.10  { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.74/1.10  { succ( tptp_minus_1 ) = n0 }.
% 0.74/1.10  { plus( X, n1 ) = succ( X ) }.
% 0.74/1.10  { plus( n1, X ) = succ( X ) }.
% 0.74/1.10  { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.74/1.10  { plus( n2, X ) = succ( succ( X ) ) }.
% 0.74/1.10  { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.74/1.10  { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.74/1.10  { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.74/1.10  { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.74/1.10  { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.74/1.10  { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.74/1.10  { minus( X, n1 ) = pred( X ) }.
% 0.74/1.10  { pred( succ( X ) ) = X }.
% 0.74/1.10  { succ( pred( X ) ) = X }.
% 0.74/1.10  { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.74/1.10  { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.74/1.10  { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.74/1.10  { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.74/1.10  { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.74/1.10  { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.74/1.10    , Y, V0 ), Z, T ) = W }.
% 0.74/1.10  { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq( 
% 0.74/1.10    n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.74/1.10     }.
% 0.74/1.10  { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.74/1.10    , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( 
% 0.74/1.10    U, Z, T, W ), X, Y ) = W }.
% 0.74/1.10  { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq( 
% 0.74/1.10    n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( 
% 0.74/1.10    tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.74/1.10  { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.74/1.10  { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.74/1.10  { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.74/1.10  { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.74/1.10  { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.74/1.10  { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.74/1.10  { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.74/1.10     T }.
% 0.74/1.10  { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2( 
% 0.74/1.10    tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.10  { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2( 
% 0.74/1.10    tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.10  { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ), 
% 0.74/1.10    a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.74/1.10  { true }.
% 0.74/1.10  { ! def = use }.
% 0.74/1.10  { a_select2( mu_init, pv40 ) = init }.
% 0.74/1.10  { a_select2( sigma_init, pv40 ) = init }.
% 0.74/1.10  { leq( n0, pv40 ) }.
% 0.74/1.10  { leq( pv40, n4 ) }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n135299 ), ! leq( n0, Y ), ! leq( Y, n4 ), 
% 0.74/1.10    a_select3( q_init, X, Y ) = init }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n4 ), a_select2( rho_init, X ) = init }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), a_select2( mu_init, X ) = init
% 0.74/1.10     }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), a_select2( sigma_init, X ) = 
% 0.74/1.10    init }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n4 ), a_select3( center_init, X, n0 ) = init }
% 0.74/1.10    .
% 0.74/1.10  { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2( 
% 0.74/1.10    muold_init, X ) = init }.
% 0.74/1.10  { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2( 
% 0.74/1.10    rhoold_init, X ) = init }.
% 0.74/1.10  { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! leq( X, n4 ), a_select2( 
% 0.74/1.10    sigmaold_init, X ) = init }.
% 0.74/1.10  { leq( n0, skol15 ) }.
% 0.74/1.10  { leq( skol15, pv40 ) }.
% 0.74/1.10  { ! a_select2( mu_init, skol15 ) = init }.
% 0.74/1.10  { gt( n5, n4 ) }.
% 0.74/1.10  { gt( n135299, n4 ) }.
% 0.74/1.10  { gt( n135299, n5 ) }.
% 0.74/1.10  { gt( n4, tptp_minus_1 ) }.
% 0.74/1.10  { gt( n5, tptp_minus_1 ) }.
% 0.74/1.10  { gt( n135299, tptp_minus_1 ) }.
% 0.74/1.10  { gt( n0, tptp_minus_1 ) }.
% 0.74/1.10  { gt( n1, tptp_minus_1 ) }.
% 0.74/1.10  { gt( n2, tptp_minus_1 ) }.
% 0.74/1.10  { gt( n3, tptp_minus_1 ) }.
% 0.74/1.10  { gt( n4, n0 ) }.
% 0.74/1.10  { gt( n5, n0 ) }.
% 0.74/1.10  { gt( n135299, n0 ) }.
% 0.74/1.10  { gt( n1, n0 ) }.
% 0.74/1.10  { gt( n2, n0 ) }.
% 0.74/1.10  { gt( n3, n0 ) }.
% 0.74/1.10  { gt( n4, n1 ) }.
% 0.74/1.10  { gt( n5, n1 ) }.
% 0.74/1.10  { gt( n135299, n1 ) }.
% 0.74/1.10  { gt( n2, n1 ) }.
% 0.74/1.10  { gt( n3, n1 ) }.
% 0.74/1.10  { gt( n4, n2 ) }.
% 0.74/1.10  { gt( n5, n2 ) }.
% 0.74/1.10  { gt( n135299, n2 ) }.
% 0.74/1.10  { gt( n3, n2 ) }.
% 0.74/1.10  { gt( n4, n3 ) }.
% 0.74/1.10  { gt( n5, n3 ) }.
% 0.74/1.10  { gt( n135299, n3 ) }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.74/1.10    .
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.74/1.10     = n5 }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.74/1.10  { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.74/1.10  { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.74/1.10  { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.74/1.10  { succ( n0 ) = n1 }.
% 0.74/1.10  { succ( succ( n0 ) ) = n2 }.
% 0.74/1.10  { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.74/1.10  
% 0.74/1.10  percentage equality = 0.188380, percentage horn = 0.875556
% 0.74/1.10  This is a problem with some equality
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Options Used:
% 0.74/1.10  
% 0.74/1.10  useres =            1
% 0.74/1.10  useparamod =        1
% 0.74/1.10  useeqrefl =         1
% 0.74/1.10  useeqfact =         1
% 0.74/1.10  usefactor =         1
% 0.74/1.10  usesimpsplitting =  0
% 0.74/1.10  usesimpdemod =      5
% 0.74/1.10  usesimpres =        3
% 0.74/1.10  
% 0.74/1.10  resimpinuse      =  1000
% 0.74/1.10  resimpclauses =     20000
% 0.74/1.10  substype =          eqrewr
% 0.74/1.10  backwardsubs =      1
% 0.74/1.10  selectoldest =      5
% 0.74/1.10  
% 0.74/1.10  litorderings [0] =  split
% 0.74/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.74/1.10  
% 0.74/1.10  termordering =      kbo
% 0.74/1.10  
% 0.74/1.10  litapriori =        0
% 0.74/1.10  termapriori =       1
% 0.74/1.10  litaposteriori =    0
% 0.74/1.10  termaposteriori =   0
% 0.74/1.10  demodaposteriori =  0
% 0.74/1.10  ordereqreflfact =   0
% 0.74/1.10  
% 0.74/1.10  litselect =         negord
% 0.74/1.10  
% 0.74/1.10  maxweight =         15
% 0.74/1.10  maxdepth =          30000
% 0.74/1.10  maxlength =         115
% 0.74/1.10  maxnrvars =         195
% 0.74/1.10  excuselevel =       1
% 0.74/1.10  increasemaxweight = 1
% 0.74/1.10  
% 0.74/1.10  maxselected =       10000000
% 0.74/1.10  maxnrclauses =      10000000
% 0.74/1.10  
% 0.74/1.10  showgenerated =    0
% 0.74/1.10  showkept =         0
% 0.74/1.10  showselected =     0
% 0.74/1.10  showdeleted =      0
% 0.74/1.10  showresimp =       1
% 0.74/1.10  showstatus =       2000
% 0.74/1.10  
% 0.74/1.10  prologoutput =     0
% 0.74/1.10  nrgoals =          5000000
% 0.74/1.10  totalproof =       1
% 0.74/1.10  
% 0.74/1.10  Symbols occurring in the translation:
% 0.74/1.10  
% 0.74/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.74/1.10  .  [1, 2]      (w:1, o:70, a:1, s:1, b:0), 
% 0.74/1.10  !  [4, 1]      (w:0, o:59, a:1, s:1, b:0), 
% 0.74/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 16.99/17.37  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 16.99/17.37  gt  [37, 2]      (w:1, o:94, a:1, s:1, b:0), 
% 16.99/17.37  leq  [39, 2]      (w:1, o:95, a:1, s:1, b:0), 
% 16.99/17.37  lt  [40, 2]      (w:1, o:96, a:1, s:1, b:0), 
% 16.99/17.37  geq  [41, 2]      (w:1, o:97, a:1, s:1, b:0), 
% 16.99/17.37  pred  [42, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 16.99/17.37  succ  [43, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 16.99/17.37  n0  [45, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 16.99/17.37  uniform_int_rnd  [46, 2]      (w:1, o:126, a:1, s:1, b:0), 
% 16.99/17.37  dim  [51, 2]      (w:1, o:127, a:1, s:1, b:0), 
% 16.99/17.37  tptp_const_array1  [52, 2]      (w:1, o:122, a:1, s:1, b:0), 
% 16.99/17.37  a_select2  [53, 2]      (w:1, o:128, a:1, s:1, b:0), 
% 16.99/17.37  tptp_const_array2  [59, 3]      (w:1, o:149, a:1, s:1, b:0), 
% 16.99/17.37  a_select3  [60, 3]      (w:1, o:150, a:1, s:1, b:0), 
% 16.99/17.37  trans  [63, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 16.99/17.37  inv  [64, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 16.99/17.37  tptp_update3  [67, 4]      (w:1, o:167, a:1, s:1, b:0), 
% 16.99/17.37  tptp_madd  [69, 2]      (w:1, o:123, a:1, s:1, b:0), 
% 16.99/17.37  tptp_msub  [70, 2]      (w:1, o:124, a:1, s:1, b:0), 
% 16.99/17.37  tptp_mmul  [71, 2]      (w:1, o:125, a:1, s:1, b:0), 
% 16.99/17.37  tptp_minus_1  [77, 0]      (w:1, o:41, a:1, s:1, b:0), 
% 16.99/17.37  sum  [78, 3]      (w:1, o:147, a:1, s:1, b:0), 
% 16.99/17.37  tptp_float_0_0  [79, 0]      (w:1, o:42, a:1, s:1, b:0), 
% 16.99/17.37  n1  [80, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 16.99/17.37  plus  [81, 2]      (w:1, o:129, a:1, s:1, b:0), 
% 16.99/17.37  n2  [82, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 16.99/17.37  n3  [83, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 16.99/17.37  n4  [84, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 16.99/17.37  n5  [85, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 16.99/17.37  minus  [86, 2]      (w:1, o:130, a:1, s:1, b:0), 
% 16.99/17.37  tptp_update2  [91, 3]      (w:1, o:151, a:1, s:1, b:0), 
% 16.99/17.37  true  [92, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 16.99/17.37  def  [93, 0]      (w:1, o:53, a:1, s:1, b:0), 
% 16.99/17.37  use  [94, 0]      (w:1, o:54, a:1, s:1, b:0), 
% 16.99/17.37  mu_init  [95, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 16.99/17.37  pv40  [96, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 16.99/17.37  init  [97, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 16.99/17.37  sigma_init  [98, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 16.99/17.37  n135299  [99, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 16.99/17.37  q_init  [100, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 16.99/17.37  rho_init  [101, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 16.99/17.37  center_init  [102, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 16.99/17.37  loopcounter  [103, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 16.99/17.37  muold_init  [105, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 16.99/17.37  rhoold_init  [107, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 16.99/17.37  sigmaold_init  [108, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 16.99/17.37  alpha1  [109, 2]      (w:1, o:131, a:1, s:1, b:1), 
% 16.99/17.37  alpha2  [110, 2]      (w:1, o:137, a:1, s:1, b:1), 
% 16.99/17.37  alpha3  [111, 2]      (w:1, o:141, a:1, s:1, b:1), 
% 16.99/17.37  alpha4  [112, 2]      (w:1, o:142, a:1, s:1, b:1), 
% 16.99/17.37  alpha5  [113, 2]      (w:1, o:143, a:1, s:1, b:1), 
% 16.99/17.37  alpha6  [114, 2]      (w:1, o:144, a:1, s:1, b:1), 
% 16.99/17.37  alpha7  [115, 2]      (w:1, o:145, a:1, s:1, b:1), 
% 16.99/17.37  alpha8  [116, 1]      (w:1, o:69, a:1, s:1, b:1), 
% 16.99/17.37  alpha9  [117, 2]      (w:1, o:146, a:1, s:1, b:1), 
% 16.99/17.37  alpha10  [118, 3]      (w:1, o:152, a:1, s:1, b:1), 
% 16.99/17.37  alpha11  [119, 3]      (w:1, o:153, a:1, s:1, b:1), 
% 16.99/17.37  alpha12  [120, 3]      (w:1, o:154, a:1, s:1, b:1), 
% 16.99/17.37  alpha13  [121, 2]      (w:1, o:132, a:1, s:1, b:1), 
% 16.99/17.37  alpha14  [122, 2]      (w:1, o:133, a:1, s:1, b:1), 
% 16.99/17.37  alpha15  [123, 2]      (w:1, o:134, a:1, s:1, b:1), 
% 16.99/17.37  alpha16  [124, 2]      (w:1, o:135, a:1, s:1, b:1), 
% 16.99/17.37  alpha17  [125, 3]      (w:1, o:155, a:1, s:1, b:1), 
% 16.99/17.37  alpha18  [126, 3]      (w:1, o:156, a:1, s:1, b:1), 
% 16.99/17.37  alpha19  [127, 2]      (w:1, o:136, a:1, s:1, b:1), 
% 16.99/17.37  alpha20  [128, 2]      (w:1, o:138, a:1, s:1, b:1), 
% 16.99/17.37  alpha21  [129, 3]      (w:1, o:157, a:1, s:1, b:1), 
% 16.99/17.37  alpha22  [130, 3]      (w:1, o:158, a:1, s:1, b:1), 
% 16.99/17.37  alpha23  [131, 3]      (w:1, o:159, a:1, s:1, b:1), 
% 16.99/17.37  alpha24  [132, 3]      (w:1, o:160, a:1, s:1, b:1), 
% 16.99/17.37  alpha25  [133, 3]      (w:1, o:161, a:1, s:1, b:1), 
% 16.99/17.37  alpha26  [134, 2]      (w:1, o:139, a:1, s:1, b:1), 
% 16.99/17.37  alpha27  [135, 2]      (w:1, o:140, a:1, s:1, b:1), 
% 16.99/17.37  alpha28  [136, 3]      (w:1, o:162, a:1, s:1, b:1), 
% 16.99/17.37  alpha29  [137, 3]      (w:1, o:163, a:1, s:1, b:1), 
% 16.99/17.37  alpha30  [138, 3]      (w:1, o:164, a:1, s:1, b:1), 
% 16.99/17.37  skol1  [139, 2]      (w:1, o:98, a:1, s:1, b:1), 
% 16.99/17.37  skol2  [140, 2]      (w:1, o:106, a:1, s:1, b:1), 
% 16.99/17.37  skol3  [141, 2]      (w:1, o:115, a:1, s:1, b:1), 
% 163.96/164.34  skol4  [142, 2]      (w:1, o:116, a:1, s:1, b:1), 
% 163.96/164.34  skol5  [143, 2]      (w:1, o:117, a:1, s:1, b:1), 
% 163.96/164.34  skol6  [144, 2]      (w:1, o:118, a:1, s:1, b:1), 
% 163.96/164.34  skol7  [145, 2]      (w:1, o:119, a:1, s:1, b:1), 
% 163.96/164.34  skol8  [146, 2]      (w:1, o:120, a:1, s:1, b:1), 
% 163.96/164.34  skol9  [147, 2]      (w:1, o:121, a:1, s:1, b:1), 
% 163.96/164.34  skol10  [148, 2]      (w:1, o:99, a:1, s:1, b:1), 
% 163.96/164.34  skol11  [149, 2]      (w:1, o:100, a:1, s:1, b:1), 
% 163.96/164.34  skol12  [150, 2]      (w:1, o:101, a:1, s:1, b:1), 
% 163.96/164.34  skol13  [151, 4]      (w:1, o:165, a:1, s:1, b:1), 
% 163.96/164.34  skol14  [152, 3]      (w:1, o:148, a:1, s:1, b:1), 
% 163.96/164.34  skol15  [153, 0]      (w:1, o:40, a:1, s:1, b:1), 
% 163.96/164.34  skol16  [154, 2]      (w:1, o:102, a:1, s:1, b:1), 
% 163.96/164.34  skol17  [155, 2]      (w:1, o:103, a:1, s:1, b:1), 
% 163.96/164.34  skol18  [156, 2]      (w:1, o:104, a:1, s:1, b:1), 
% 163.96/164.34  skol19  [157, 2]      (w:1, o:105, a:1, s:1, b:1), 
% 163.96/164.34  skol20  [158, 2]      (w:1, o:107, a:1, s:1, b:1), 
% 163.96/164.34  skol21  [159, 2]      (w:1, o:108, a:1, s:1, b:1), 
% 163.96/164.34  skol22  [160, 2]      (w:1, o:109, a:1, s:1, b:1), 
% 163.96/164.34  skol23  [161, 2]      (w:1, o:110, a:1, s:1, b:1), 
% 163.96/164.34  skol24  [162, 2]      (w:1, o:111, a:1, s:1, b:1), 
% 163.96/164.34  skol25  [163, 2]      (w:1, o:112, a:1, s:1, b:1), 
% 163.96/164.34  skol26  [164, 2]      (w:1, o:113, a:1, s:1, b:1), 
% 163.96/164.34  skol27  [165, 2]      (w:1, o:114, a:1, s:1, b:1), 
% 163.96/164.34  skol28  [166, 4]      (w:1, o:166, a:1, s:1, b:1), 
% 163.96/164.34  skol29  [167, 1]      (w:1, o:66, a:1, s:1, b:1).
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Starting Search:
% 163.96/164.34  
% 163.96/164.34  *** allocated 15000 integers for clauses
% 163.96/164.34  *** allocated 22500 integers for clauses
% 163.96/164.34  *** allocated 33750 integers for clauses
% 163.96/164.34  *** allocated 22500 integers for termspace/termends
% 163.96/164.34  *** allocated 50625 integers for clauses
% 163.96/164.34  *** allocated 75937 integers for clauses
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 33750 integers for termspace/termends
% 163.96/164.34  *** allocated 113905 integers for clauses
% 163.96/164.34  *** allocated 50625 integers for termspace/termends
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    7966
% 163.96/164.34  Kept:         2046
% 163.96/164.34  Inuse:        171
% 163.96/164.34  Deleted:      0
% 163.96/164.34  Deletedinuse: 0
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 170857 integers for clauses
% 163.96/164.34  *** allocated 75937 integers for termspace/termends
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 113905 integers for termspace/termends
% 163.96/164.34  *** allocated 256285 integers for clauses
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    16072
% 163.96/164.34  Kept:         4047
% 163.96/164.34  Inuse:        326
% 163.96/164.34  Deleted:      0
% 163.96/164.34  Deletedinuse: 0
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 170857 integers for termspace/termends
% 163.96/164.34  *** allocated 384427 integers for clauses
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    23241
% 163.96/164.34  Kept:         6056
% 163.96/164.34  Inuse:        456
% 163.96/164.34  Deleted:      0
% 163.96/164.34  Deletedinuse: 0
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 256285 integers for termspace/termends
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    31369
% 163.96/164.34  Kept:         8089
% 163.96/164.34  Inuse:        551
% 163.96/164.34  Deleted:      0
% 163.96/164.34  Deletedinuse: 0
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 576640 integers for clauses
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    36111
% 163.96/164.34  Kept:         10132
% 163.96/164.34  Inuse:        670
% 163.96/164.34  Deleted:      0
% 163.96/164.34  Deletedinuse: 0
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 384427 integers for termspace/termends
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    44383
% 163.96/164.34  Kept:         12201
% 163.96/164.34  Inuse:        795
% 163.96/164.34  Deleted:      13
% 163.96/164.34  Deletedinuse: 12
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 864960 integers for clauses
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    48920
% 163.96/164.34  Kept:         14327
% 163.96/164.34  Inuse:        869
% 163.96/164.34  Deleted:      14
% 163.96/164.34  Deletedinuse: 12
% 163.96/164.34  
% 163.96/164.34  *** allocated 576640 integers for termspace/termends
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    81357
% 163.96/164.34  Kept:         16425
% 163.96/164.34  Inuse:        889
% 163.96/164.34  Deleted:      14
% 163.96/164.34  Deletedinuse: 12
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    142567
% 163.96/164.34  Kept:         18694
% 163.96/164.34  Inuse:        904
% 163.96/164.34  Deleted:      14
% 163.96/164.34  Deletedinuse: 12
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 864960 integers for termspace/termends
% 163.96/164.34  *** allocated 1297440 integers for clauses
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    178933
% 163.96/164.34  Kept:         20860
% 163.96/164.34  Inuse:        914
% 163.96/164.34  Deleted:      14
% 163.96/164.34  Deletedinuse: 12
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying clauses:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    220525
% 163.96/164.34  Kept:         23334
% 163.96/164.34  Inuse:        1258
% 163.96/164.34  Deleted:      1701
% 163.96/164.34  Deletedinuse: 27
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    685176
% 163.96/164.34  Kept:         25997
% 163.96/164.34  Inuse:        1587
% 163.96/164.34  Deleted:      1707
% 163.96/164.34  Deletedinuse: 32
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    724312
% 163.96/164.34  Kept:         28663
% 163.96/164.34  Inuse:        1802
% 163.96/164.34  Deleted:      1707
% 163.96/164.34  Deletedinuse: 32
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 1946160 integers for clauses
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    750759
% 163.96/164.34  Kept:         30680
% 163.96/164.34  Inuse:        1920
% 163.96/164.34  Deleted:      1729
% 163.96/164.34  Deletedinuse: 32
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    770797
% 163.96/164.34  Kept:         33358
% 163.96/164.34  Inuse:        1992
% 163.96/164.34  Deleted:      1737
% 163.96/164.34  Deletedinuse: 32
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    787722
% 163.96/164.34  Kept:         35837
% 163.96/164.34  Inuse:        2007
% 163.96/164.34  Deleted:      1737
% 163.96/164.34  Deletedinuse: 32
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    807579
% 163.96/164.34  Kept:         37843
% 163.96/164.34  Inuse:        2081
% 163.96/164.34  Deleted:      1755
% 163.96/164.34  Deletedinuse: 33
% 163.96/164.34  
% 163.96/164.34  *** allocated 1297440 integers for termspace/termends
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    834503
% 163.96/164.34  Kept:         39854
% 163.96/164.34  Inuse:        2184
% 163.96/164.34  Deleted:      1780
% 163.96/164.34  Deletedinuse: 33
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying clauses:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    853334
% 163.96/164.34  Kept:         41895
% 163.96/164.34  Inuse:        2265
% 163.96/164.34  Deleted:      7856
% 163.96/164.34  Deletedinuse: 33
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    876630
% 163.96/164.34  Kept:         43971
% 163.96/164.34  Inuse:        2371
% 163.96/164.34  Deleted:      7862
% 163.96/164.34  Deletedinuse: 39
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  *** allocated 2919240 integers for clauses
% 163.96/164.34  
% 163.96/164.34  Intermediate Status:
% 163.96/164.34  Generated:    893143
% 163.96/164.34  Kept:         46091
% 163.96/164.34  Inuse:        2461
% 163.96/164.34  Deleted:      7862
% 163.96/164.34  Deletedinuse: 39
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  Done
% 163.96/164.34  
% 163.96/164.34  Resimplifying inuse:
% 163.96/164.34  
% 163.96/164.34  Bliksems!, er is een bewijs:
% 163.96/164.34  % SZS status Theorem
% 163.96/164.34  % SZS output start Refutation
% 163.96/164.34  
% 163.96/164.34  (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 163.96/164.34  (12) {G0,W7,D3,L2,V2,M2} I { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 163.96/164.34  (171) {G0,W5,D3,L1,V0,M1} I { a_select2( mu_init, pv40 ) ==> init }.
% 163.96/164.34  (177) {G0,W12,D3,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), 
% 163.96/164.34    a_select2( mu_init, X ) ==> init }.
% 163.96/164.34  (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 163.96/164.34  (184) {G0,W3,D2,L1,V0,M1} I { leq( skol15, pv40 ) }.
% 163.96/164.34  (185) {G0,W5,D3,L1,V0,M1} I { ! a_select2( mu_init, skol15 ) ==> init }.
% 163.96/164.34  (741) {G1,W10,D3,L3,V2,M3} R(12,10) { leq( X, pred( Y ) ), ! leq( X, Y ), X
% 163.96/164.34     = Y }.
% 163.96/164.34  (13819) {G1,W4,D3,L1,V0,M1} R(177,183);r(185) { ! leq( skol15, pred( pv40 )
% 163.96/164.34     ) }.
% 163.96/164.34  (46920) {G2,W3,D2,L1,V0,M1} R(741,184);r(13819) { pv40 ==> skol15 }.
% 163.96/164.34  (48079) {G3,W0,D0,L0,V0,M0} S(171);d(46920);r(185) {  }.
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  % SZS output end Refutation
% 163.96/164.34  found a proof!
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Unprocessed initial clauses:
% 163.96/164.34  
% 163.96/164.34  (48081) {G0,W9,D2,L3,V2,M3}  { gt( X, Y ), gt( Y, X ), X = Y }.
% 163.96/164.34  (48082) {G0,W9,D2,L3,V3,M3}  { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 163.96/164.34  (48083) {G0,W3,D2,L1,V1,M1}  { ! gt( X, X ) }.
% 163.96/164.34  (48084) {G0,W3,D2,L1,V1,M1}  { leq( X, X ) }.
% 163.96/164.34  (48085) {G0,W9,D2,L3,V3,M3}  { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 163.96/164.34     }.
% 163.96/164.34  (48086) {G0,W6,D2,L2,V2,M2}  { ! lt( X, Y ), gt( Y, X ) }.
% 163.96/164.34  (48087) {G0,W6,D2,L2,V2,M2}  { ! gt( Y, X ), lt( X, Y ) }.
% 163.96/164.34  (48088) {G0,W6,D2,L2,V2,M2}  { ! geq( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48089) {G0,W6,D2,L2,V2,M2}  { ! leq( Y, X ), geq( X, Y ) }.
% 163.96/164.34  (48090) {G0,W6,D2,L2,V2,M2}  { ! gt( Y, X ), leq( X, Y ) }.
% 163.96/164.34  (48091) {G0,W9,D2,L3,V2,M3}  { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 163.96/164.34  (48092) {G0,W7,D3,L2,V2,M2}  { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 163.96/164.34  (48093) {G0,W7,D3,L2,V2,M2}  { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 163.96/164.34  (48094) {G0,W4,D3,L1,V1,M1}  { gt( succ( X ), X ) }.
% 163.96/164.34  (48095) {G0,W7,D3,L2,V2,M2}  { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 163.96/164.34  (48096) {G0,W7,D3,L2,V2,M2}  { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 163.96/164.34  (48097) {G0,W7,D3,L2,V2,M2}  { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 163.96/164.34  (48098) {G0,W8,D3,L2,V2,M2}  { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 163.96/164.34    , X ) }.
% 163.96/164.34  (48099) {G0,W8,D3,L2,V2,M2}  { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 163.96/164.34    , X ) ) }.
% 163.96/164.34  (48100) {G0,W15,D5,L3,V4,M3}  { ! leq( Y, X ), ! leq( X, Z ), a_select2( 
% 163.96/164.34    tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 163.96/164.34  (48101) {G0,W25,D5,L5,V7,M5}  { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 163.96/164.34    , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ), 
% 163.96/164.34    V0 ), X, T ) = V0 }.
% 163.96/164.34  (48102) {G0,W31,D4,L6,V4,M6}  { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 163.96/164.34    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 163.96/164.34    ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 163.96/164.34  (48103) {G0,W40,D4,L6,V4,M6}  { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 163.96/164.34     ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! 
% 163.96/164.34    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 163.96/164.34     = a_select3( trans( X ), T, Z ) }.
% 163.96/164.34  (48104) {G0,W7,D2,L2,V3,M2}  { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 163.96/164.34  (48105) {G0,W7,D2,L2,V3,M2}  { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48106) {G0,W7,D2,L2,V3,M2}  { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48107) {G0,W13,D2,L4,V3,M4}  { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha10( X, Y, Z ) }.
% 163.96/164.34  (48108) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48109) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48110) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48111) {G0,W31,D4,L6,V4,M6}  { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 163.96/164.34    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 163.96/164.34    ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 163.96/164.34  (48112) {G0,W40,D4,L6,V4,M6}  { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 163.96/164.34     ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! 
% 163.96/164.34    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 163.96/164.34     a_select3( inv( X ), T, Z ) }.
% 163.96/164.34  (48113) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 163.96/164.34  (48114) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48115) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48116) {G0,W13,D2,L4,V3,M4}  { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha11( X, Y, Z ) }.
% 163.96/164.34  (48117) {G0,W6,D2,L2,V2,M2}  { ! alpha2( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48118) {G0,W6,D2,L2,V2,M2}  { ! alpha2( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48119) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48120) {G0,W43,D4,L8,V6,M8}  { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 163.96/164.34    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 163.96/164.34    , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) = 
% 163.96/164.34    a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 163.96/164.34  (48121) {G0,W52,D4,L8,V6,M8}  { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 163.96/164.34     ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! 
% 163.96/164.34    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 163.96/164.34    , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 163.96/164.34    ( X, U, U, W ), T, Z ) }.
% 163.96/164.34  (48122) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 163.96/164.34  (48123) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48124) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48125) {G0,W13,D2,L4,V3,M4}  { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha12( X, Y, Z ) }.
% 163.96/164.34  (48126) {G0,W6,D2,L2,V2,M2}  { ! alpha3( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48127) {G0,W6,D2,L2,V2,M2}  { ! alpha3( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48128) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48129) {G0,W36,D4,L7,V5,M7}  { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), 
% 163.96/164.34    skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 163.96/164.34    , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 163.96/164.34     ), U, T ) }.
% 163.96/164.34  (48130) {G0,W45,D4,L7,V5,M7}  { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 163.96/164.34     ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! 
% 163.96/164.34    leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( 
% 163.96/164.34    tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 163.96/164.34  (48131) {G0,W7,D2,L2,V3,M2}  { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 163.96/164.34  (48132) {G0,W7,D2,L2,V3,M2}  { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48133) {G0,W7,D2,L2,V3,M2}  { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48134) {G0,W13,D2,L4,V3,M4}  { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha22( X, Y, Z ) }.
% 163.96/164.34  (48135) {G0,W6,D2,L2,V2,M2}  { ! alpha13( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48136) {G0,W6,D2,L2,V2,M2}  { ! alpha13( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48137) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48138) {G0,W11,D3,L2,V2,M2}  { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 163.96/164.34    , skol20( X, Y ) ) }.
% 163.96/164.34  (48139) {G0,W20,D4,L2,V2,M2}  { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 163.96/164.34    , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 163.96/164.34     }.
% 163.96/164.34  (48140) {G0,W16,D3,L3,V4,M3}  { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) 
% 163.96/164.34    = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 163.96/164.34  (48141) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 163.96/164.34  (48142) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48143) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48144) {G0,W13,D2,L4,V3,M4}  { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha23( X, Y, Z ) }.
% 163.96/164.34  (48145) {G0,W6,D2,L2,V2,M2}  { ! alpha14( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48146) {G0,W6,D2,L2,V2,M2}  { ! alpha14( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48147) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48148) {G0,W36,D4,L7,V5,M7}  { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), 
% 163.96/164.34    skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 163.96/164.34    , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 163.96/164.34     ), U, T ) }.
% 163.96/164.34  (48149) {G0,W45,D4,L7,V5,M7}  { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 163.96/164.34     ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! 
% 163.96/164.34    leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( 
% 163.96/164.34    tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 163.96/164.34  (48150) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 163.96/164.34  (48151) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48152) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48153) {G0,W13,D2,L4,V3,M4}  { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha24( X, Y, Z ) }.
% 163.96/164.34  (48154) {G0,W6,D2,L2,V2,M2}  { ! alpha15( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48155) {G0,W6,D2,L2,V2,M2}  { ! alpha15( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48156) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48157) {G0,W11,D3,L2,V2,M2}  { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 163.96/164.34    , skol22( X, Y ) ) }.
% 163.96/164.34  (48158) {G0,W20,D4,L2,V2,M2}  { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 163.96/164.34    , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 163.96/164.34     }.
% 163.96/164.34  (48159) {G0,W16,D3,L3,V4,M3}  { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) 
% 163.96/164.34    = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 163.96/164.34  (48160) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 163.96/164.34  (48161) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48162) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48163) {G0,W13,D2,L4,V3,M4}  { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha25( X, Y, Z ) }.
% 163.96/164.34  (48164) {G0,W6,D2,L2,V2,M2}  { ! alpha16( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48165) {G0,W6,D2,L2,V2,M2}  { ! alpha16( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48166) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48167) {G0,W39,D6,L6,V5,M6}  { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 163.96/164.34    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 163.96/164.34    ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( 
% 163.96/164.34    tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 163.96/164.34  (48168) {G0,W48,D6,L6,V5,M6}  { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 163.96/164.34     ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! 
% 163.96/164.34    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, 
% 163.96/164.34    tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 163.96/164.34    ( X, trans( U ) ) ), T, Z ) }.
% 163.96/164.34  (48169) {G0,W7,D2,L2,V3,M2}  { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 163.96/164.34  (48170) {G0,W7,D2,L2,V3,M2}  { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48171) {G0,W7,D2,L2,V3,M2}  { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48172) {G0,W13,D2,L4,V3,M4}  { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha17( X, Y, Z ) }.
% 163.96/164.34  (48173) {G0,W6,D2,L2,V2,M2}  { ! alpha6( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48174) {G0,W6,D2,L2,V2,M2}  { ! alpha6( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48175) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48176) {G0,W39,D6,L6,V6,M6}  { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 163.96/164.34    , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 163.96/164.34    ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( 
% 163.96/164.34    tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 163.96/164.34  (48177) {G0,W48,D6,L6,V6,M6}  { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 163.96/164.34     ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! 
% 163.96/164.34    leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, 
% 163.96/164.34    tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 163.96/164.34    ( X, trans( W ) ) ), T, Z ) }.
% 163.96/164.34  (48178) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 163.96/164.34  (48179) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48180) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48181) {G0,W13,D2,L4,V3,M4}  { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha18( X, Y, Z ) }.
% 163.96/164.34  (48182) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48183) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48184) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48185) {G0,W72,D10,L8,V9,M8}  { alpha8( Y ), alpha19( X, T ), alpha29( T, 
% 163.96/164.34    skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( 
% 163.96/164.34    n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 163.96/164.34    ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 163.96/164.34    , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 163.96/164.34    ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, 
% 163.96/164.34    tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 163.96/164.34     ) ), trans( V0 ) ) ) ), W, U ) }.
% 163.96/164.34  (48186) {G0,W81,D10,L8,V9,M8}  { alpha8( Y ), alpha19( X, T ), ! a_select3
% 163.96/164.34    ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ), 
% 163.96/164.34    skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 163.96/164.34    , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( 
% 163.96/164.34    tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 163.96/164.34    , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 163.96/164.34    , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 163.96/164.34    ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 163.96/164.34     ) ), W, U ) }.
% 163.96/164.34  (48187) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 163.96/164.34  (48188) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48189) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48190) {G0,W13,D2,L4,V3,M4}  { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha29( X, Y, Z ) }.
% 163.96/164.34  (48191) {G0,W6,D2,L2,V2,M2}  { ! alpha26( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48192) {G0,W6,D2,L2,V2,M2}  { ! alpha26( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48193) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48194) {G0,W11,D3,L2,V2,M2}  { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 163.96/164.34     ), skol26( X, Y ) ) }.
% 163.96/164.34  (48195) {G0,W20,D4,L2,V2,M2}  { ! alpha19( X, Y ), ! a_select3( X, skol11( 
% 163.96/164.34    X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 163.96/164.34     }.
% 163.96/164.34  (48196) {G0,W16,D3,L3,V4,M3}  { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) 
% 163.96/164.34    = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 163.96/164.34  (48197) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 163.96/164.34  (48198) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48199) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48200) {G0,W13,D2,L4,V3,M4}  { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha30( X, Y, Z ) }.
% 163.96/164.34  (48201) {G0,W6,D2,L2,V2,M2}  { ! alpha27( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48202) {G0,W6,D2,L2,V2,M2}  { ! alpha27( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48203) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48204) {G0,W10,D3,L2,V2,M2}  { ! alpha8( X ), alpha28( Y, skol12( X, Y ), 
% 163.96/164.34    skol27( X, Y ) ) }.
% 163.96/164.34  (48205) {G0,W19,D4,L2,V2,M2}  { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 163.96/164.34     ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 163.96/164.34  (48206) {G0,W16,D3,L3,V3,M3}  { ! alpha28( skol29( X ), Y, Z ), a_select3( 
% 163.96/164.34    X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 163.96/164.34  (48207) {G0,W7,D2,L2,V3,M2}  { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 163.96/164.34  (48208) {G0,W7,D2,L2,V3,M2}  { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 163.96/164.34  (48209) {G0,W7,D2,L2,V3,M2}  { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 163.96/164.34  (48210) {G0,W13,D2,L4,V3,M4}  { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 163.96/164.34    , X ), alpha28( X, Y, Z ) }.
% 163.96/164.34  (48211) {G0,W6,D2,L2,V2,M2}  { ! alpha20( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48212) {G0,W6,D2,L2,V2,M2}  { ! alpha20( X, Y ), leq( Y, X ) }.
% 163.96/164.34  (48213) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48214) {G0,W6,D3,L1,V1,M1}  { sum( n0, tptp_minus_1, X ) = n0 }.
% 163.96/164.34  (48215) {G0,W6,D3,L1,V1,M1}  { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 163.96/164.34     }.
% 163.96/164.34  (48216) {G0,W4,D3,L1,V0,M1}  { succ( tptp_minus_1 ) = n0 }.
% 163.96/164.34  (48217) {G0,W6,D3,L1,V1,M1}  { plus( X, n1 ) = succ( X ) }.
% 163.96/164.34  (48218) {G0,W6,D3,L1,V1,M1}  { plus( n1, X ) = succ( X ) }.
% 163.96/164.34  (48219) {G0,W7,D4,L1,V1,M1}  { plus( X, n2 ) = succ( succ( X ) ) }.
% 163.96/164.34  (48220) {G0,W7,D4,L1,V1,M1}  { plus( n2, X ) = succ( succ( X ) ) }.
% 163.96/164.34  (48221) {G0,W8,D5,L1,V1,M1}  { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 163.96/164.34     }.
% 163.96/164.34  (48222) {G0,W8,D5,L1,V1,M1}  { plus( n3, X ) = succ( succ( succ( X ) ) )
% 163.96/164.34     }.
% 163.96/164.34  (48223) {G0,W9,D6,L1,V1,M1}  { plus( X, n4 ) = succ( succ( succ( succ( X )
% 163.96/164.34     ) ) ) }.
% 163.96/164.34  (48224) {G0,W9,D6,L1,V1,M1}  { plus( n4, X ) = succ( succ( succ( succ( X )
% 163.96/164.34     ) ) ) }.
% 163.96/164.34  (48225) {G0,W10,D7,L1,V1,M1}  { plus( X, n5 ) = succ( succ( succ( succ( 
% 163.96/164.34    succ( X ) ) ) ) ) }.
% 163.96/164.34  (48226) {G0,W10,D7,L1,V1,M1}  { plus( n5, X ) = succ( succ( succ( succ( 
% 163.96/164.34    succ( X ) ) ) ) ) }.
% 163.96/164.34  (48227) {G0,W6,D3,L1,V1,M1}  { minus( X, n1 ) = pred( X ) }.
% 163.96/164.34  (48228) {G0,W5,D4,L1,V1,M1}  { pred( succ( X ) ) = X }.
% 163.96/164.34  (48229) {G0,W5,D4,L1,V1,M1}  { succ( pred( X ) ) = X }.
% 163.96/164.34  (48230) {G0,W8,D3,L2,V2,M2}  { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 163.96/164.34     }.
% 163.96/164.34  (48231) {G0,W8,D3,L2,V2,M2}  { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 163.96/164.34     }.
% 163.96/164.34  (48232) {G0,W7,D3,L2,V2,M2}  { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 163.96/164.34  (48233) {G0,W8,D3,L2,V2,M2}  { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 163.96/164.34  (48234) {G0,W10,D4,L1,V4,M1}  { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 163.96/164.34     ) = T }.
% 163.96/164.34  (48235) {G0,W22,D4,L4,V7,M4}  { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 163.96/164.34    , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 163.96/164.34  (48236) {G0,W29,D4,L6,V9,M6}  { leq( skol28( V0, T, V1, V2 ), T ), ! leq( 
% 163.96/164.34    n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( 
% 163.96/164.34    tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 163.96/164.34  (48237) {G0,W34,D4,L6,V6,M6}  { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 163.96/164.34    , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 163.96/164.34     ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 163.96/164.34  (48238) {G0,W36,D4,L6,V6,M6}  { ! a_select3( U, skol13( Z, T, U, W ), 
% 163.96/164.34    skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 163.96/164.34    , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 163.96/164.34  (48239) {G0,W7,D2,L2,V3,M2}  { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 163.96/164.34  (48240) {G0,W7,D2,L2,V3,M2}  { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 163.96/164.34  (48241) {G0,W10,D2,L3,V3,M3}  { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 163.96/164.34    , Y, Z ) }.
% 163.96/164.34  (48242) {G0,W6,D2,L2,V2,M2}  { ! alpha9( X, Y ), leq( n0, X ) }.
% 163.96/164.34  (48243) {G0,W6,D2,L2,V2,M2}  { ! alpha9( X, Y ), leq( n0, Y ) }.
% 163.96/164.34  (48244) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 163.96/164.34     ) }.
% 163.96/164.34  (48245) {G0,W8,D4,L1,V3,M1}  { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 163.96/164.34     }.
% 163.96/164.34  (48246) {G0,W16,D4,L3,V5,M3}  { X = Y, ! a_select2( Z, Y ) = T, a_select2( 
% 163.96/164.34    tptp_update2( Z, X, U ), Y ) = T }.
% 163.96/164.34  (48247) {G0,W20,D4,L4,V7,M4}  { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 163.96/164.34     ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 163.96/164.34  (48248) {G0,W20,D4,L4,V6,M4}  { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 163.96/164.34    , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 163.96/164.34  (48249) {G0,W22,D4,L4,V4,M4}  { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! 
% 163.96/164.34    leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 163.96/164.34     }.
% 163.96/164.34  (48250) {G0,W1,D1,L1,V0,M1}  { true }.
% 163.96/164.34  (48251) {G0,W3,D2,L1,V0,M1}  { ! def = use }.
% 163.96/164.34  (48252) {G0,W5,D3,L1,V0,M1}  { a_select2( mu_init, pv40 ) = init }.
% 163.96/164.34  (48253) {G0,W5,D3,L1,V0,M1}  { a_select2( sigma_init, pv40 ) = init }.
% 163.96/164.34  (48254) {G0,W3,D2,L1,V0,M1}  { leq( n0, pv40 ) }.
% 163.96/164.34  (48255) {G0,W3,D2,L1,V0,M1}  { leq( pv40, n4 ) }.
% 163.96/164.34  (48256) {G0,W18,D3,L5,V2,M5}  { ! leq( n0, X ), ! leq( X, n135299 ), ! leq
% 163.96/164.34    ( n0, Y ), ! leq( Y, n4 ), a_select3( q_init, X, Y ) = init }.
% 163.96/164.34  (48257) {G0,W11,D3,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, n4 ), a_select2( 
% 163.96/164.34    rho_init, X ) = init }.
% 163.96/164.34  (48258) {G0,W12,D3,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), 
% 163.96/164.34    a_select2( mu_init, X ) = init }.
% 163.96/164.34  (48259) {G0,W12,D3,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, pred( pv40 ) ), 
% 163.96/164.34    a_select2( sigma_init, X ) = init }.
% 163.96/164.34  (48260) {G0,W12,D3,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, n4 ), a_select3( 
% 163.96/164.34    center_init, X, n0 ) = init }.
% 163.96/164.34  (48261) {G0,W14,D3,L4,V1,M4}  { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! 
% 163.96/164.34    leq( X, n4 ), a_select2( muold_init, X ) = init }.
% 163.96/164.34  (48262) {G0,W14,D3,L4,V1,M4}  { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! 
% 163.96/164.34    leq( X, n4 ), a_select2( rhoold_init, X ) = init }.
% 163.96/164.34  (48263) {G0,W14,D3,L4,V1,M4}  { ! gt( loopcounter, n1 ), ! leq( n0, X ), ! 
% 163.96/164.34    leq( X, n4 ), a_select2( sigmaold_init, X ) = init }.
% 163.96/164.34  (48264) {G0,W3,D2,L1,V0,M1}  { leq( n0, skol15 ) }.
% 163.96/164.34  (48265) {G0,W3,D2,L1,V0,M1}  { leq( skol15, pv40 ) }.
% 163.96/164.34  (48266) {G0,W5,D3,L1,V0,M1}  { ! a_select2( mu_init, skol15 ) = init }.
% 163.96/164.34  (48267) {G0,W3,D2,L1,V0,M1}  { gt( n5, n4 ) }.
% 163.96/164.34  (48268) {G0,W3,D2,L1,V0,M1}  { gt( n135299, n4 ) }.
% 163.96/164.34  (48269) {G0,W3,D2,L1,V0,M1}  { gt( n135299, n5 ) }.
% 163.96/164.34  (48270) {G0,W3,D2,L1,V0,M1}  { gt( n4, tptp_minus_1 ) }.
% 163.96/164.34  (48271) {G0,W3,D2,L1,V0,M1}  { gt( n5, tptp_minus_1 ) }.
% 163.96/164.34  (48272) {G0,W3,D2,L1,V0,M1}  { gt( n135299, tptp_minus_1 ) }.
% 163.96/164.34  (48273) {G0,W3,D2,L1,V0,M1}  { gt( n0, tptp_minus_1 ) }.
% 163.96/164.34  (48274) {G0,W3,D2,L1,V0,M1}  { gt( n1, tptp_minus_1 ) }.
% 163.96/164.34  (48275) {G0,W3,D2,L1,V0,M1}  { gt( n2, tptp_minus_1 ) }.
% 163.96/164.34  (48276) {G0,W3,D2,L1,V0,M1}  { gt( n3, tptp_minus_1 ) }.
% 163.96/164.34  (48277) {G0,W3,D2,L1,V0,M1}  { gt( n4, n0 ) }.
% 163.96/164.34  (48278) {G0,W3,D2,L1,V0,M1}  { gt( n5, n0 ) }.
% 163.96/164.34  (48279) {G0,W3,D2,L1,V0,M1}  { gt( n135299, n0 ) }.
% 163.96/164.34  (48280) {G0,W3,D2,L1,V0,M1}  { gt( n1, n0 ) }.
% 163.96/164.34  (48281) {G0,W3,D2,L1,V0,M1}  { gt( n2, n0 ) }.
% 163.96/164.34  (48282) {G0,W3,D2,L1,V0,M1}  { gt( n3, n0 ) }.
% 163.96/164.34  (48283) {G0,W3,D2,L1,V0,M1}  { gt( n4, n1 ) }.
% 163.96/164.34  (48284) {G0,W3,D2,L1,V0,M1}  { gt( n5, n1 ) }.
% 163.96/164.34  (48285) {G0,W3,D2,L1,V0,M1}  { gt( n135299, n1 ) }.
% 163.96/164.34  (48286) {G0,W3,D2,L1,V0,M1}  { gt( n2, n1 ) }.
% 163.96/164.34  (48287) {G0,W3,D2,L1,V0,M1}  { gt( n3, n1 ) }.
% 163.96/164.34  (48288) {G0,W3,D2,L1,V0,M1}  { gt( n4, n2 ) }.
% 163.96/164.34  (48289) {G0,W3,D2,L1,V0,M1}  { gt( n5, n2 ) }.
% 163.96/164.34  (48290) {G0,W3,D2,L1,V0,M1}  { gt( n135299, n2 ) }.
% 163.96/164.34  (48291) {G0,W3,D2,L1,V0,M1}  { gt( n3, n2 ) }.
% 163.96/164.34  (48292) {G0,W3,D2,L1,V0,M1}  { gt( n4, n3 ) }.
% 163.96/164.34  (48293) {G0,W3,D2,L1,V0,M1}  { gt( n5, n3 ) }.
% 163.96/164.34  (48294) {G0,W3,D2,L1,V0,M1}  { gt( n135299, n3 ) }.
% 163.96/164.34  (48295) {G0,W21,D2,L7,V1,M7}  { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 163.96/164.34     n1, X = n2, X = n3, X = n4 }.
% 163.96/164.34  (48296) {G0,W24,D2,L8,V1,M8}  { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 163.96/164.34     n1, X = n2, X = n3, X = n4, X = n5 }.
% 163.96/164.34  (48297) {G0,W9,D2,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 163.96/164.34  (48298) {G0,W12,D2,L4,V1,M4}  { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 163.96/164.34     n1 }.
% 163.96/164.34  (48299) {G0,W15,D2,L5,V1,M5}  { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 163.96/164.34     n1, X = n2 }.
% 163.96/164.34  (48300) {G0,W18,D2,L6,V1,M6}  { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 163.96/164.34     n1, X = n2, X = n3 }.
% 163.96/164.34  (48301) {G0,W7,D6,L1,V0,M1}  { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 163.96/164.34  (48302) {G0,W8,D7,L1,V0,M1}  { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 163.96/164.34     n5 }.
% 163.96/164.34  (48303) {G0,W4,D3,L1,V0,M1}  { succ( n0 ) = n1 }.
% 163.96/164.34  (48304) {G0,W5,D4,L1,V0,M1}  { succ( succ( n0 ) ) = n2 }.
% 163.96/164.34  (48305) {G0,W6,D5,L1,V0,M1}  { succ( succ( succ( n0 ) ) ) = n3 }.
% 163.96/164.34  
% 163.96/164.34  
% 163.96/164.34  Total Proof:
% 163.96/164.34  
% 163.96/164.34  subsumption: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 163.96/164.36     }.
% 163.96/164.36  parent0: (48091) {G0,W9,D2,L3,V2,M3}  { ! leq( X, Y ), X = Y, gt( Y, X )
% 163.96/164.36     }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := X
% 163.96/164.36     Y := Y
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36     1 ==> 1
% 163.96/164.36     2 ==> 2
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (12) {G0,W7,D3,L2,V2,M2} I { ! gt( Y, X ), leq( X, pred( Y ) )
% 163.96/164.36     }.
% 163.96/164.36  parent0: (48093) {G0,W7,D3,L2,V2,M2}  { ! gt( Y, X ), leq( X, pred( Y ) )
% 163.96/164.36     }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := X
% 163.96/164.36     Y := Y
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36     1 ==> 1
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (171) {G0,W5,D3,L1,V0,M1} I { a_select2( mu_init, pv40 ) ==> 
% 163.96/164.36    init }.
% 163.96/164.36  parent0: (48252) {G0,W5,D3,L1,V0,M1}  { a_select2( mu_init, pv40 ) = init
% 163.96/164.36     }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (177) {G0,W12,D3,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred
% 163.96/164.36    ( pv40 ) ), a_select2( mu_init, X ) ==> init }.
% 163.96/164.36  parent0: (48258) {G0,W12,D3,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, pred( 
% 163.96/164.36    pv40 ) ), a_select2( mu_init, X ) = init }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := X
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36     1 ==> 1
% 163.96/164.36     2 ==> 2
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 163.96/164.36  parent0: (48264) {G0,W3,D2,L1,V0,M1}  { leq( n0, skol15 ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (184) {G0,W3,D2,L1,V0,M1} I { leq( skol15, pv40 ) }.
% 163.96/164.36  parent0: (48265) {G0,W3,D2,L1,V0,M1}  { leq( skol15, pv40 ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (185) {G0,W5,D3,L1,V0,M1} I { ! a_select2( mu_init, skol15 ) 
% 163.96/164.36    ==> init }.
% 163.96/164.36  parent0: (48266) {G0,W5,D3,L1,V0,M1}  { ! a_select2( mu_init, skol15 ) = 
% 163.96/164.36    init }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  eqswap: (51010) {G0,W9,D2,L3,V2,M3}  { Y = X, ! leq( X, Y ), gt( Y, X ) }.
% 163.96/164.36  parent0[1]: (10) {G0,W9,D2,L3,V2,M3} I { ! leq( X, Y ), X = Y, gt( Y, X )
% 163.96/164.36     }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := X
% 163.96/164.36     Y := Y
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  resolution: (51011) {G1,W10,D3,L3,V2,M3}  { leq( Y, pred( X ) ), X = Y, ! 
% 163.96/164.36    leq( Y, X ) }.
% 163.96/164.36  parent0[0]: (12) {G0,W7,D3,L2,V2,M2} I { ! gt( Y, X ), leq( X, pred( Y ) )
% 163.96/164.36     }.
% 163.96/164.36  parent1[2]: (51010) {G0,W9,D2,L3,V2,M3}  { Y = X, ! leq( X, Y ), gt( Y, X )
% 163.96/164.36     }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := Y
% 163.96/164.36     Y := X
% 163.96/164.36  end
% 163.96/164.36  substitution1:
% 163.96/164.36     X := Y
% 163.96/164.36     Y := X
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  eqswap: (51012) {G1,W10,D3,L3,V2,M3}  { Y = X, leq( Y, pred( X ) ), ! leq( 
% 163.96/164.36    Y, X ) }.
% 163.96/164.36  parent0[1]: (51011) {G1,W10,D3,L3,V2,M3}  { leq( Y, pred( X ) ), X = Y, ! 
% 163.96/164.36    leq( Y, X ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := X
% 163.96/164.36     Y := Y
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (741) {G1,W10,D3,L3,V2,M3} R(12,10) { leq( X, pred( Y ) ), ! 
% 163.96/164.36    leq( X, Y ), X = Y }.
% 163.96/164.36  parent0: (51012) {G1,W10,D3,L3,V2,M3}  { Y = X, leq( Y, pred( X ) ), ! leq
% 163.96/164.36    ( Y, X ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := Y
% 163.96/164.36     Y := X
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 2
% 163.96/164.36     1 ==> 0
% 163.96/164.36     2 ==> 1
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  eqswap: (51013) {G0,W12,D3,L3,V1,M3}  { init ==> a_select2( mu_init, X ), !
% 163.96/164.36     leq( n0, X ), ! leq( X, pred( pv40 ) ) }.
% 163.96/164.36  parent0[2]: (177) {G0,W12,D3,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, pred( 
% 163.96/164.36    pv40 ) ), a_select2( mu_init, X ) ==> init }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := X
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  eqswap: (51014) {G0,W5,D3,L1,V0,M1}  { ! init ==> a_select2( mu_init, 
% 163.96/164.36    skol15 ) }.
% 163.96/164.36  parent0[0]: (185) {G0,W5,D3,L1,V0,M1} I { ! a_select2( mu_init, skol15 ) 
% 163.96/164.36    ==> init }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  resolution: (51015) {G1,W9,D3,L2,V0,M2}  { init ==> a_select2( mu_init, 
% 163.96/164.36    skol15 ), ! leq( skol15, pred( pv40 ) ) }.
% 163.96/164.36  parent0[1]: (51013) {G0,W12,D3,L3,V1,M3}  { init ==> a_select2( mu_init, X
% 163.96/164.36     ), ! leq( n0, X ), ! leq( X, pred( pv40 ) ) }.
% 163.96/164.36  parent1[0]: (183) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := skol15
% 163.96/164.36  end
% 163.96/164.36  substitution1:
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  resolution: (51016) {G1,W4,D3,L1,V0,M1}  { ! leq( skol15, pred( pv40 ) )
% 163.96/164.36     }.
% 163.96/164.36  parent0[0]: (51014) {G0,W5,D3,L1,V0,M1}  { ! init ==> a_select2( mu_init, 
% 163.96/164.36    skol15 ) }.
% 163.96/164.36  parent1[0]: (51015) {G1,W9,D3,L2,V0,M2}  { init ==> a_select2( mu_init, 
% 163.96/164.36    skol15 ), ! leq( skol15, pred( pv40 ) ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  substitution1:
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (13819) {G1,W4,D3,L1,V0,M1} R(177,183);r(185) { ! leq( skol15
% 163.96/164.36    , pred( pv40 ) ) }.
% 163.96/164.36  parent0: (51016) {G1,W4,D3,L1,V0,M1}  { ! leq( skol15, pred( pv40 ) ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  eqswap: (51017) {G1,W10,D3,L3,V2,M3}  { Y = X, leq( X, pred( Y ) ), ! leq( 
% 163.96/164.36    X, Y ) }.
% 163.96/164.36  parent0[2]: (741) {G1,W10,D3,L3,V2,M3} R(12,10) { leq( X, pred( Y ) ), ! 
% 163.96/164.36    leq( X, Y ), X = Y }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := X
% 163.96/164.36     Y := Y
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  resolution: (51018) {G1,W7,D3,L2,V0,M2}  { pv40 = skol15, leq( skol15, pred
% 163.96/164.36    ( pv40 ) ) }.
% 163.96/164.36  parent0[2]: (51017) {G1,W10,D3,L3,V2,M3}  { Y = X, leq( X, pred( Y ) ), ! 
% 163.96/164.36    leq( X, Y ) }.
% 163.96/164.36  parent1[0]: (184) {G0,W3,D2,L1,V0,M1} I { leq( skol15, pv40 ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36     X := skol15
% 163.96/164.36     Y := pv40
% 163.96/164.36  end
% 163.96/164.36  substitution1:
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  resolution: (51019) {G2,W3,D2,L1,V0,M1}  { pv40 = skol15 }.
% 163.96/164.36  parent0[0]: (13819) {G1,W4,D3,L1,V0,M1} R(177,183);r(185) { ! leq( skol15, 
% 163.96/164.36    pred( pv40 ) ) }.
% 163.96/164.36  parent1[1]: (51018) {G1,W7,D3,L2,V0,M2}  { pv40 = skol15, leq( skol15, pred
% 163.96/164.36    ( pv40 ) ) }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  substitution1:
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (46920) {G2,W3,D2,L1,V0,M1} R(741,184);r(13819) { pv40 ==> 
% 163.96/164.36    skol15 }.
% 163.96/164.36  parent0: (51019) {G2,W3,D2,L1,V0,M1}  { pv40 = skol15 }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36     0 ==> 0
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  paramod: (51024) {G1,W5,D3,L1,V0,M1}  { a_select2( mu_init, skol15 ) ==> 
% 163.96/164.36    init }.
% 163.96/164.36  parent0[0]: (46920) {G2,W3,D2,L1,V0,M1} R(741,184);r(13819) { pv40 ==> 
% 163.96/164.36    skol15 }.
% 163.96/164.36  parent1[0; 3]: (171) {G0,W5,D3,L1,V0,M1} I { a_select2( mu_init, pv40 ) ==>
% 163.96/164.36     init }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  substitution1:
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  resolution: (51025) {G1,W0,D0,L0,V0,M0}  {  }.
% 163.96/164.36  parent0[0]: (185) {G0,W5,D3,L1,V0,M1} I { ! a_select2( mu_init, skol15 ) 
% 163.96/164.36    ==> init }.
% 163.96/164.36  parent1[0]: (51024) {G1,W5,D3,L1,V0,M1}  { a_select2( mu_init, skol15 ) ==>
% 163.96/164.36     init }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  substitution1:
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  subsumption: (48079) {G3,W0,D0,L0,V0,M0} S(171);d(46920);r(185) {  }.
% 163.96/164.36  parent0: (51025) {G1,W0,D0,L0,V0,M0}  {  }.
% 163.96/164.36  substitution0:
% 163.96/164.36  end
% 163.96/164.36  permutation0:
% 163.96/164.36  end
% 163.96/164.36  
% 163.96/164.36  Proof check complete!
% 163.96/164.36  
% 163.96/164.36  Memory use:
% 163.96/164.36  
% 163.96/164.36  space for terms:        979004
% 163.96/164.36  space for clauses:      2035267
% 163.96/164.36  
% 163.96/164.36  
% 163.96/164.36  clauses generated:      904471
% 163.96/164.36  clauses kept:           48080
% 163.96/164.36  clauses selected:       2496
% 163.96/164.36  clauses deleted:        7953
% 163.96/164.36  clauses inuse deleted:  130
% 163.96/164.36  
% 163.96/164.36  subsentry:          1636664
% 163.96/164.36  literals s-matched: 821589
% 163.96/164.36  literals matched:   766059
% 163.96/164.36  full subsumption:   450284
% 163.96/164.36  
% 163.96/164.36  checksum:           394759547
% 163.96/164.36  
% 163.96/164.36  
% 163.96/164.36  Bliksem ended
%------------------------------------------------------------------------------