TSTP Solution File: SWV204+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV204+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 16:22:55 EDT 2022

% Result   : Theorem 13.51s 13.89s
% Output   : Refutation 13.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV204+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.14  % Command  : bliksem %s
% 0.14/0.36  % Computer : n025.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 : Thu Jun 16 04:38:26 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.79/1.21  *** allocated 10000 integers for termspace/termends
% 0.79/1.21  *** allocated 10000 integers for clauses
% 0.79/1.21  *** allocated 10000 integers for justifications
% 0.79/1.21  Bliksem 1.12
% 0.79/1.21  
% 0.79/1.21  
% 0.79/1.21  Automatic Strategy Selection
% 0.79/1.21  
% 0.79/1.21  *** allocated 15000 integers for termspace/termends
% 0.79/1.21  
% 0.79/1.21  Clauses:
% 0.79/1.21  
% 0.79/1.21  { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.79/1.21  { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.79/1.21  { ! gt( X, X ) }.
% 0.79/1.21  { leq( X, X ) }.
% 0.79/1.21  { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.79/1.21  { ! lt( X, Y ), gt( Y, X ) }.
% 0.79/1.21  { ! gt( Y, X ), lt( X, Y ) }.
% 0.79/1.21  { ! geq( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( Y, X ), geq( X, Y ) }.
% 0.79/1.21  { ! gt( Y, X ), leq( X, Y ) }.
% 0.79/1.21  { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.79/1.21  { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.79/1.21  { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.79/1.21  { gt( succ( X ), X ) }.
% 0.79/1.21  { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.79/1.21  { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.79/1.21  { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.79/1.21  { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.79/1.21  { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.79/1.21  { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ), 
% 0.79/1.21    T ), X ) = T }.
% 0.79/1.21  { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3( 
% 0.79/1.21    tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.79/1.21  { alpha10( Y, skol1( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.79/1.21     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) = 
% 0.79/1.21    a_select3( trans( X ), T, Z ) }.
% 0.79/1.21  { ! a_select3( X, skol1( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.79/1.21    , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.79/1.21    leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.79/1.21     ) }.
% 0.79/1.21  { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 0.79/1.21  { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha10( X, Y, Z ) }.
% 0.79/1.21  { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.79/1.21  { alpha11( Y, skol2( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.79/1.21     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) = 
% 0.79/1.21    a_select3( inv( X ), T, Z ) }.
% 0.79/1.21  { ! a_select3( X, skol2( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.79/1.21    , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.79/1.21    leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.79/1.21    .
% 0.79/1.21  { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 0.79/1.21  { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.79/1.21  { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.79/1.21  { alpha12( Y, skol3( X, Y ), skol18( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.79/1.21     ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), 
% 0.79/1.21    a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3( 
% 0.79/1.21    X, U, U, W ), T, Z ) }.
% 0.79/1.21  { ! a_select3( X, skol3( X, Y ), skol18( X, Y ) ) = a_select3( X, skol18( X
% 0.79/1.21    , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.79/1.21    leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.79/1.21    , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.79/1.21  { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 0.79/1.21  { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.79/1.21  { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.79/1.21  { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), skol19( Y, Z ) ), ! leq( n0, T
% 0.79/1.21     ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.79/1.21    , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.79/1.21  { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol19( Y, Z ) ) = 
% 0.79/1.21    a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T, 
% 0.79/1.21    Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U ) 
% 0.79/1.21    = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.79/1.21  { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 0.79/1.21  { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha22( X, Y, Z ) }.
% 0.79/1.21  { ! alpha13( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha13( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y ) }.
% 0.79/1.21  { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y ), skol20( X, Y ) ) }.
% 0.79/1.21  { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol20( X, Y ) ) = 
% 0.79/1.21    a_select3( X, skol20( X, Y ), skol5( X, Y ) ) }.
% 0.79/1.21  { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.79/1.21    ( X, Y ) }.
% 0.79/1.21  { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.79/1.21  { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.79/1.21  { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.79/1.21  { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), skol21( Y, Z ) ), ! leq( n0, T
% 0.79/1.21     ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.79/1.21    , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.79/1.21  { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol21( Y, Z ) ) = 
% 0.79/1.21    a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T, 
% 0.79/1.21    Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U ) 
% 0.79/1.21    = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.79/1.21  { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.79/1.21  { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.79/1.21  { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.79/1.21  { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y ), skol22( X, Y ) ) }.
% 0.79/1.21  { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol22( X, Y ) ) = 
% 0.79/1.21    a_select3( X, skol22( X, Y ), skol7( X, Y ) ) }.
% 0.79/1.21  { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.79/1.21    ( X, Y ) }.
% 0.79/1.21  { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.79/1.21  { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.79/1.21  { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.79/1.21  { alpha17( Y, skol8( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.79/1.21     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.79/1.21    , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( 
% 0.79/1.21    U ) ) ), T, Z ) }.
% 0.79/1.21  { ! a_select3( X, skol8( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.79/1.21    , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.79/1.21    leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.79/1.21     ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.79/1.21  { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 0.79/1.21  { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha17( X, Y, Z ) }.
% 0.79/1.21  { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.79/1.21  { alpha18( Y, skol9( X, Y ), skol24( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.79/1.21     ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.79/1.21    , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( 
% 0.79/1.21    W ) ) ), T, Z ) }.
% 0.79/1.21  { ! a_select3( X, skol9( X, Y ), skol24( X, Y ) ) = a_select3( X, skol24( X
% 0.79/1.21    , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! 
% 0.79/1.21    leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.79/1.21     ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.79/1.21  { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 0.79/1.21  { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.79/1.21  { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.79/1.21  { alpha8( Y ), alpha19( X, T ), alpha29( T, skol10( Z, T ), skol25( Z, T )
% 0.79/1.21     ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ), 
% 0.79/1.21    a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( 
% 0.79/1.21    V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.79/1.21     ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.79/1.21    ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.79/1.21    , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.79/1.21     ) }.
% 0.79/1.21  { alpha8( Y ), alpha19( X, T ), ! a_select3( Z, skol10( Z, T ), skol25( Z, 
% 0.79/1.21    T ) ) = a_select3( Z, skol25( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.79/1.21     leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, 
% 0.79/1.21    tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( 
% 0.79/1.21    V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.79/1.21     ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.79/1.21    ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.79/1.21    ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.79/1.21  { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 0.79/1.21  { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.79/1.21  { ! alpha26( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha26( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y ) }.
% 0.79/1.21  { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y ), skol26( X, Y ) ) }.
% 0.79/1.21  { ! alpha19( X, Y ), ! a_select3( X, skol11( X, Y ), skol26( X, Y ) ) = 
% 0.79/1.21    a_select3( X, skol26( X, Y ), skol11( X, Y ) ) }.
% 0.79/1.21  { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), 
% 0.79/1.21    alpha19( X, Y ) }.
% 0.79/1.21  { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.79/1.21  { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.79/1.21  { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.79/1.21  { ! alpha8( X ), alpha28( Y, skol12( X, Y ), skol27( X, Y ) ) }.
% 0.79/1.21  { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol27( X, Y ) ) = 
% 0.79/1.21    a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 0.79/1.21  { ! alpha28( skol29( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.79/1.21     ), alpha8( X ) }.
% 0.79/1.21  { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 0.79/1.21  { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 0.79/1.21  { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 0.79/1.21  { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha28( X, Y, Z ) }.
% 0.79/1.21  { ! alpha20( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! alpha20( X, Y ), leq( Y, X ) }.
% 0.79/1.21  { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y ) }.
% 0.79/1.21  { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.79/1.21  { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.79/1.21  { succ( tptp_minus_1 ) = n0 }.
% 0.79/1.21  { plus( X, n1 ) = succ( X ) }.
% 0.79/1.21  { plus( n1, X ) = succ( X ) }.
% 0.79/1.21  { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.79/1.21  { plus( n2, X ) = succ( succ( X ) ) }.
% 0.79/1.21  { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.79/1.21  { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.79/1.21  { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.79/1.21  { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.79/1.21  { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.79/1.21  { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.79/1.21  { minus( X, n1 ) = pred( X ) }.
% 0.79/1.21  { pred( succ( X ) ) = X }.
% 0.79/1.21  { succ( pred( X ) ) = X }.
% 0.79/1.21  { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.79/1.21  { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.79/1.21  { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.79/1.21  { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.79/1.21  { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.79/1.21  { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.79/1.21    , Y, V0 ), Z, T ) = W }.
% 0.79/1.21  { leq( skol28( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq( 
% 0.79/1.21    n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.79/1.21     }.
% 0.79/1.21  { alpha21( Z, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ), ! leq( n0, X )
% 0.79/1.21    , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( 
% 0.79/1.21    U, Z, T, W ), X, Y ) = W }.
% 0.79/1.21  { ! a_select3( U, skol13( Z, T, U, W ), skol28( Z, T, U, W ) ) = W, ! leq( 
% 0.79/1.21    n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( 
% 0.79/1.21    tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.79/1.21  { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 0.79/1.21  { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 0.79/1.21  { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X, Y, Z ) }.
% 0.79/1.21  { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.79/1.21  { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.79/1.21  { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.79/1.21  { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.79/1.21  { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.79/1.21     T }.
% 0.79/1.21  { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2( 
% 0.79/1.21    tptp_update2( Z, Y, T ), X ) = T }.
% 0.79/1.21  { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2( 
% 0.79/1.21    tptp_update2( Z, Y, T ), X ) = T }.
% 0.79/1.21  { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ), 
% 0.79/1.21    a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.79/1.21  { true }.
% 0.79/1.21  { ! def = use }.
% 0.79/1.21  { a_select2( rho_defuse, n0 ) = use }.
% 0.79/1.21  { a_select2( rho_defuse, n1 ) = use }.
% 0.79/1.21  { a_select2( rho_defuse, n2 ) = use }.
% 0.79/1.21  { a_select2( sigma_defuse, n0 ) = use }.
% 0.79/1.21  { a_select2( sigma_defuse, n1 ) = use }.
% 0.79/1.21  { a_select2( sigma_defuse, n2 ) = use }.
% 0.79/1.21  { a_select2( sigma_defuse, n3 ) = use }.
% 0.79/1.21  { a_select2( sigma_defuse, n4 ) = use }.
% 0.79/1.21  { a_select2( sigma_defuse, n5 ) = use }.
% 0.79/1.21  { a_select3( u_defuse, n0, n0 ) = use }.
% 0.79/1.21  { a_select3( u_defuse, n1, n0 ) = use }.
% 0.79/1.21  { a_select3( u_defuse, n2, n0 ) = use }.
% 0.79/1.21  { a_select2( xinit_defuse, n3 ) = use }.
% 0.79/1.21  { a_select2( xinit_defuse, n4 ) = use }.
% 0.79/1.21  { a_select2( xinit_defuse, n5 ) = use }.
% 0.79/1.21  { a_select2( xinit_mean_defuse, n0 ) = use }.
% 0.79/1.21  { a_select2( xinit_mean_defuse, n1 ) = use }.
% 0.79/1.21  { a_select2( xinit_mean_defuse, n2 ) = use }.
% 0.79/1.21  { a_select2( xinit_mean_defuse, n3 ) = use }.
% 0.79/1.21  { a_select2( xinit_mean_defuse, n4 ) = use }.
% 0.79/1.21  { a_select2( xinit_mean_defuse, n5 ) = use }.
% 0.79/1.21  { a_select2( xinit_noise_defuse, n0 ) = use }.
% 0.79/1.21  { a_select2( xinit_noise_defuse, n1 ) = use }.
% 0.79/1.21  { a_select2( xinit_noise_defuse, n2 ) = use }.
% 0.79/1.21  { a_select2( xinit_noise_defuse, n3 ) = use }.
% 0.79/1.21  { a_select2( xinit_noise_defuse, n4 ) = use }.
% 0.79/1.21  { a_select2( xinit_noise_defuse, n5 ) = use }.
% 0.79/1.21  { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, n998 ), 
% 0.79/1.21    a_select3( u_defuse, X, Y ) = use }.
% 0.79/1.21  { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, n2 ), ! leq( Y, n998 ), 
% 0.79/1.21    a_select3( z_defuse, X, Y ) = use }.
% 0.79/1.21  { leq( n0, skol15 ) }.
% 0.79/1.21  { leq( skol15, n2 ) }.
% 0.79/1.21  { ! a_select2( rho_defuse, skol15 ) = use }.
% 0.79/1.21  { gt( n5, n4 ) }.
% 0.79/1.21  { gt( n998, n4 ) }.
% 0.79/1.21  { gt( n998, n5 ) }.
% 0.79/1.21  { gt( n4, tptp_minus_1 ) }.
% 0.79/1.21  { gt( n5, tptp_minus_1 ) }.
% 0.79/1.21  { gt( n998, tptp_minus_1 ) }.
% 0.79/1.21  { gt( n0, tptp_minus_1 ) }.
% 0.79/1.21  { gt( n1, tptp_minus_1 ) }.
% 0.79/1.21  { gt( n2, tptp_minus_1 ) }.
% 0.79/1.21  { gt( n3, tptp_minus_1 ) }.
% 0.79/1.21  { gt( n4, n0 ) }.
% 0.79/1.21  { gt( n5, n0 ) }.
% 0.79/1.21  { gt( n998, n0 ) }.
% 0.79/1.21  { gt( n1, n0 ) }.
% 0.79/1.21  { gt( n2, n0 ) }.
% 0.79/1.21  { gt( n3, n0 ) }.
% 0.79/1.21  { gt( n4, n1 ) }.
% 0.79/1.21  { gt( n5, n1 ) }.
% 0.79/1.21  { gt( n998, n1 ) }.
% 0.79/1.21  { gt( n2, n1 ) }.
% 0.79/1.21  { gt( n3, n1 ) }.
% 0.79/1.21  { gt( n4, n2 ) }.
% 0.79/1.21  { gt( n5, n2 ) }.
% 0.79/1.21  { gt( n998, n2 ) }.
% 0.79/1.21  { gt( n3, n2 ) }.
% 0.79/1.21  { gt( n4, n3 ) }.
% 0.79/1.21  { gt( n5, n3 ) }.
% 0.79/1.21  { gt( n998, n3 ) }.
% 0.79/1.21  { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.79/1.21    .
% 0.79/1.21  { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.79/1.21     = n5 }.
% 0.79/1.21  { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.79/1.21  { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.79/1.21  { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.79/1.21  { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.79/1.21  { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.79/1.21  { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.79/1.21  { succ( n0 ) = n1 }.
% 0.79/1.21  { succ( succ( n0 ) ) = n2 }.
% 0.79/1.21  { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.79/1.21  
% 0.79/1.21  percentage equality = 0.220280, percentage horn = 0.884298
% 0.79/1.21  This is a problem with some equality
% 0.79/1.21  
% 0.79/1.21  
% 0.79/1.21  
% 0.79/1.21  Options Used:
% 0.79/1.21  
% 0.79/1.21  useres =            1
% 0.79/1.21  useparamod =        1
% 0.79/1.21  useeqrefl =         1
% 0.79/1.21  useeqfact =         1
% 0.79/1.21  usefactor =         1
% 0.79/1.21  usesimpsplitting =  0
% 0.79/1.21  usesimpdemod =      5
% 0.79/1.21  usesimpres =        3
% 0.79/1.21  
% 0.79/1.21  resimpinuse      =  1000
% 0.79/1.21  resimpclauses =     20000
% 0.79/1.21  substype =          eqrewr
% 0.79/1.21  backwardsubs =      1
% 0.79/1.21  selectoldest =      5
% 0.79/1.21  
% 0.79/1.21  litorderings [0] =  split
% 0.79/1.21  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.79/1.21  
% 0.79/1.21  termordering =      kbo
% 0.79/1.21  
% 0.79/1.21  litapriori =        0
% 0.79/1.21  termapriori =       1
% 0.79/1.21  litaposteriori =    0
% 0.79/1.21  termaposteriori =   0
% 0.79/1.21  demodaposteriori =  0
% 0.79/1.21  ordereqreflfact =   0
% 0.79/1.21  
% 0.79/1.21  litselect =         negord
% 0.79/1.21  
% 0.79/1.21  maxweight =         15
% 0.79/1.21  maxdepth =          30000
% 0.79/1.21  maxlength =         115
% 0.79/1.21  maxnrvars =         195
% 13.08/13.47  excuselevel =       1
% 13.08/13.47  increasemaxweight = 1
% 13.08/13.47  
% 13.08/13.47  maxselected =       10000000
% 13.08/13.47  maxnrclauses =      10000000
% 13.08/13.47  
% 13.08/13.47  showgenerated =    0
% 13.08/13.47  showkept =         0
% 13.08/13.47  showselected =     0
% 13.08/13.47  showdeleted =      0
% 13.08/13.47  showresimp =       1
% 13.08/13.47  showstatus =       2000
% 13.08/13.47  
% 13.08/13.47  prologoutput =     0
% 13.08/13.47  nrgoals =          5000000
% 13.08/13.47  totalproof =       1
% 13.08/13.47  
% 13.08/13.47  Symbols occurring in the translation:
% 13.08/13.47  
% 13.08/13.47  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 13.08/13.47  .  [1, 2]      (w:1, o:64, a:1, s:1, b:0), 
% 13.08/13.47  !  [4, 1]      (w:0, o:53, a:1, s:1, b:0), 
% 13.08/13.47  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 13.08/13.47  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 13.08/13.47  gt  [37, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 13.08/13.47  leq  [39, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 13.08/13.47  lt  [40, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 13.08/13.47  geq  [41, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 13.08/13.47  pred  [42, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 13.08/13.47  succ  [43, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 13.08/13.47  n0  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 13.08/13.47  uniform_int_rnd  [46, 2]      (w:1, o:120, a:1, s:1, b:0), 
% 13.08/13.47  dim  [51, 2]      (w:1, o:121, a:1, s:1, b:0), 
% 13.08/13.47  tptp_const_array1  [52, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 13.08/13.48  a_select2  [53, 2]      (w:1, o:122, a:1, s:1, b:0), 
% 13.08/13.48  tptp_const_array2  [59, 3]      (w:1, o:143, a:1, s:1, b:0), 
% 13.08/13.48  a_select3  [60, 3]      (w:1, o:144, a:1, s:1, b:0), 
% 13.08/13.48  trans  [63, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 13.08/13.48  inv  [64, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 13.08/13.48  tptp_update3  [67, 4]      (w:1, o:161, a:1, s:1, b:0), 
% 13.08/13.48  tptp_madd  [69, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 13.08/13.48  tptp_msub  [70, 2]      (w:1, o:118, a:1, s:1, b:0), 
% 13.08/13.48  tptp_mmul  [71, 2]      (w:1, o:119, a:1, s:1, b:0), 
% 13.08/13.48  tptp_minus_1  [77, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 13.08/13.48  sum  [78, 3]      (w:1, o:141, a:1, s:1, b:0), 
% 13.08/13.48  tptp_float_0_0  [79, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 13.08/13.48  n1  [80, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 13.08/13.48  plus  [81, 2]      (w:1, o:123, a:1, s:1, b:0), 
% 13.08/13.48  n2  [82, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 13.08/13.48  n3  [83, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 13.08/13.48  n4  [84, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 13.08/13.48  n5  [85, 0]      (w:1, o:40, a:1, s:1, b:0), 
% 13.08/13.48  minus  [86, 2]      (w:1, o:124, a:1, s:1, b:0), 
% 13.08/13.48  tptp_update2  [91, 3]      (w:1, o:145, a:1, s:1, b:0), 
% 13.08/13.48  true  [92, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 13.08/13.48  def  [93, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 13.08/13.48  use  [94, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 13.08/13.48  rho_defuse  [95, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 13.08/13.48  sigma_defuse  [96, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 13.08/13.48  u_defuse  [97, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 13.08/13.48  xinit_defuse  [98, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 13.08/13.48  xinit_mean_defuse  [99, 0]      (w:1, o:49, a:1, s:1, b:0), 
% 13.08/13.48  xinit_noise_defuse  [100, 0]      (w:1, o:50, a:1, s:1, b:0), 
% 13.08/13.48  n998  [101, 0]      (w:1, o:51, a:1, s:1, b:0), 
% 13.08/13.48  z_defuse  [102, 0]      (w:1, o:52, a:1, s:1, b:0), 
% 13.08/13.48  alpha1  [103, 2]      (w:1, o:125, a:1, s:1, b:1), 
% 13.08/13.48  alpha2  [104, 2]      (w:1, o:131, a:1, s:1, b:1), 
% 13.08/13.48  alpha3  [105, 2]      (w:1, o:135, a:1, s:1, b:1), 
% 13.08/13.48  alpha4  [106, 2]      (w:1, o:136, a:1, s:1, b:1), 
% 13.08/13.48  alpha5  [107, 2]      (w:1, o:137, a:1, s:1, b:1), 
% 13.08/13.48  alpha6  [108, 2]      (w:1, o:138, a:1, s:1, b:1), 
% 13.08/13.48  alpha7  [109, 2]      (w:1, o:139, a:1, s:1, b:1), 
% 13.08/13.48  alpha8  [110, 1]      (w:1, o:63, a:1, s:1, b:1), 
% 13.08/13.48  alpha9  [111, 2]      (w:1, o:140, a:1, s:1, b:1), 
% 13.08/13.48  alpha10  [112, 3]      (w:1, o:146, a:1, s:1, b:1), 
% 13.08/13.48  alpha11  [113, 3]      (w:1, o:147, a:1, s:1, b:1), 
% 13.08/13.48  alpha12  [114, 3]      (w:1, o:148, a:1, s:1, b:1), 
% 13.08/13.48  alpha13  [115, 2]      (w:1, o:126, a:1, s:1, b:1), 
% 13.08/13.48  alpha14  [116, 2]      (w:1, o:127, a:1, s:1, b:1), 
% 13.08/13.48  alpha15  [117, 2]      (w:1, o:128, a:1, s:1, b:1), 
% 13.08/13.48  alpha16  [118, 2]      (w:1, o:129, a:1, s:1, b:1), 
% 13.08/13.48  alpha17  [119, 3]      (w:1, o:149, a:1, s:1, b:1), 
% 13.08/13.48  alpha18  [120, 3]      (w:1, o:150, a:1, s:1, b:1), 
% 13.08/13.48  alpha19  [121, 2]      (w:1, o:130, a:1, s:1, b:1), 
% 13.08/13.48  alpha20  [122, 2]      (w:1, o:132, a:1, s:1, b:1), 
% 13.08/13.48  alpha21  [123, 3]      (w:1, o:151, a:1, s:1, b:1), 
% 13.08/13.48  alpha22  [124, 3]      (w:1, o:152, a:1, s:1, b:1), 
% 13.08/13.48  alpha23  [125, 3]      (w:1, o:153, a:1, s:1, b:1), 
% 13.08/13.48  alpha24  [126, 3]      (w:1, o:154, a:1, s:1, b:1), 
% 13.08/13.48  alpha25  [127, 3]      (w:1, o:155, a:1, s:1, b:1), 
% 13.08/13.48  alpha26  [128, 2]      (w:1, o:133, a:1, s:1, b:1), 
% 13.08/13.48  alpha27  [129, 2]      (w:1, o:134, a:1, s:1, b:1), 
% 13.46/13.89  alpha28  [130, 3]      (w:1, o:156, a:1, s:1, b:1), 
% 13.46/13.89  alpha29  [131, 3]      (w:1, o:157, a:1, s:1, b:1), 
% 13.46/13.89  alpha30  [132, 3]      (w:1, o:158, a:1, s:1, b:1), 
% 13.46/13.89  skol1  [133, 2]      (w:1, o:92, a:1, s:1, b:1), 
% 13.46/13.89  skol2  [134, 2]      (w:1, o:100, a:1, s:1, b:1), 
% 13.46/13.89  skol3  [135, 2]      (w:1, o:109, a:1, s:1, b:1), 
% 13.46/13.89  skol4  [136, 2]      (w:1, o:110, a:1, s:1, b:1), 
% 13.46/13.89  skol5  [137, 2]      (w:1, o:111, a:1, s:1, b:1), 
% 13.46/13.89  skol6  [138, 2]      (w:1, o:112, a:1, s:1, b:1), 
% 13.46/13.89  skol7  [139, 2]      (w:1, o:113, a:1, s:1, b:1), 
% 13.46/13.89  skol8  [140, 2]      (w:1, o:114, a:1, s:1, b:1), 
% 13.46/13.89  skol9  [141, 2]      (w:1, o:115, a:1, s:1, b:1), 
% 13.46/13.89  skol10  [142, 2]      (w:1, o:93, a:1, s:1, b:1), 
% 13.46/13.89  skol11  [143, 2]      (w:1, o:94, a:1, s:1, b:1), 
% 13.46/13.89  skol12  [144, 2]      (w:1, o:95, a:1, s:1, b:1), 
% 13.46/13.89  skol13  [145, 4]      (w:1, o:159, a:1, s:1, b:1), 
% 13.46/13.89  skol14  [146, 3]      (w:1, o:142, a:1, s:1, b:1), 
% 13.46/13.89  skol15  [147, 0]      (w:1, o:33, a:1, s:1, b:1), 
% 13.46/13.89  skol16  [148, 2]      (w:1, o:96, a:1, s:1, b:1), 
% 13.46/13.89  skol17  [149, 2]      (w:1, o:97, a:1, s:1, b:1), 
% 13.46/13.89  skol18  [150, 2]      (w:1, o:98, a:1, s:1, b:1), 
% 13.46/13.89  skol19  [151, 2]      (w:1, o:99, a:1, s:1, b:1), 
% 13.46/13.89  skol20  [152, 2]      (w:1, o:101, a:1, s:1, b:1), 
% 13.46/13.89  skol21  [153, 2]      (w:1, o:102, a:1, s:1, b:1), 
% 13.46/13.89  skol22  [154, 2]      (w:1, o:103, a:1, s:1, b:1), 
% 13.46/13.89  skol23  [155, 2]      (w:1, o:104, a:1, s:1, b:1), 
% 13.46/13.89  skol24  [156, 2]      (w:1, o:105, a:1, s:1, b:1), 
% 13.46/13.89  skol25  [157, 2]      (w:1, o:106, a:1, s:1, b:1), 
% 13.46/13.89  skol26  [158, 2]      (w:1, o:107, a:1, s:1, b:1), 
% 13.46/13.89  skol27  [159, 2]      (w:1, o:108, a:1, s:1, b:1), 
% 13.46/13.89  skol28  [160, 4]      (w:1, o:160, a:1, s:1, b:1), 
% 13.46/13.89  skol29  [161, 1]      (w:1, o:60, a:1, s:1, b:1).
% 13.46/13.89  
% 13.46/13.89  
% 13.46/13.89  Starting Search:
% 13.46/13.89  
% 13.46/13.89  *** allocated 15000 integers for clauses
% 13.46/13.89  *** allocated 22500 integers for clauses
% 13.46/13.89  *** allocated 33750 integers for clauses
% 13.46/13.89  *** allocated 22500 integers for termspace/termends
% 13.46/13.89  *** allocated 50625 integers for clauses
% 13.46/13.89  *** allocated 75937 integers for clauses
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 33750 integers for termspace/termends
% 13.46/13.89  *** allocated 113905 integers for clauses
% 13.46/13.89  *** allocated 50625 integers for termspace/termends
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    7986
% 13.46/13.89  Kept:         2066
% 13.46/13.89  Inuse:        171
% 13.46/13.89  Deleted:      0
% 13.46/13.89  Deletedinuse: 0
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 170857 integers for clauses
% 13.46/13.89  *** allocated 75937 integers for termspace/termends
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 113905 integers for termspace/termends
% 13.46/13.89  *** allocated 256285 integers for clauses
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    16476
% 13.46/13.89  Kept:         4074
% 13.46/13.89  Inuse:        331
% 13.46/13.89  Deleted:      0
% 13.46/13.89  Deletedinuse: 0
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 170857 integers for termspace/termends
% 13.46/13.89  *** allocated 384427 integers for clauses
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    23453
% 13.46/13.89  Kept:         6136
% 13.46/13.89  Inuse:        461
% 13.46/13.89  Deleted:      0
% 13.46/13.89  Deletedinuse: 0
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 256285 integers for termspace/termends
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    31451
% 13.46/13.89  Kept:         8207
% 13.46/13.89  Inuse:        556
% 13.46/13.89  Deleted:      0
% 13.46/13.89  Deletedinuse: 0
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 576640 integers for clauses
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    36767
% 13.46/13.89  Kept:         10312
% 13.46/13.89  Inuse:        736
% 13.46/13.89  Deleted:      0
% 13.46/13.89  Deletedinuse: 0
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 384427 integers for termspace/termends
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    44668
% 13.46/13.89  Kept:         12385
% 13.46/13.89  Inuse:        805
% 13.46/13.89  Deleted:      13
% 13.46/13.89  Deletedinuse: 12
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 864960 integers for clauses
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 576640 integers for termspace/termends
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    82958
% 13.46/13.89  Kept:         15609
% 13.46/13.89  Inuse:        984
% 13.46/13.89  Deleted:      14
% 13.46/13.89  Deletedinuse: 12
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    148400
% 13.46/13.89  Kept:         18068
% 13.46/13.89  Inuse:        999
% 13.46/13.89  Deleted:      14
% 13.46/13.89  Deletedinuse: 12
% 13.46/13.89  
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 864960 integers for termspace/termends
% 13.46/13.89  Resimplifying inuse:
% 13.46/13.89  Done
% 13.46/13.89  
% 13.46/13.89  *** allocated 1297440 integers for clauses
% 13.46/13.89  
% 13.46/13.89  Intermediate Status:
% 13.46/13.89  Generated:    186169
% 13.51/13.89  Kept:         20310
% 13.51/13.89  Inuse:        1009
% 13.51/13.89  Deleted:      14
% 13.51/13.89  Deletedinuse: 12
% 13.51/13.89  
% 13.51/13.89  Resimplifying inuse:
% 13.51/13.89  Done
% 13.51/13.89  
% 13.51/13.89  Resimplifying clauses:
% 13.51/13.89  
% 13.51/13.89  Bliksems!, er is een bewijs:
% 13.51/13.89  % SZS status Theorem
% 13.51/13.89  % SZS output start Refutation
% 13.51/13.89  
% 13.51/13.89  (3) {G0,W3,D2,L1,V1,M1} I { leq( X, X ) }.
% 13.51/13.89  (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 13.51/13.89  (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 13.51/13.89     }.
% 13.51/13.89  (171) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n0 ) ==> use }.
% 13.51/13.89  (172) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n1 ) ==> use }.
% 13.51/13.89  (173) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n2 ) ==> use }.
% 13.51/13.89  (200) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 13.51/13.89  (201) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n2 ) }.
% 13.51/13.89  (202) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_defuse, skol15 ) ==> use }.
% 13.51/13.89  (216) {G0,W3,D2,L1,V0,M1} I { gt( n1, n0 ) }.
% 13.51/13.89  (233) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 13.51/13.89  (234) {G0,W12,D2,L4,V1,M4} I { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = 
% 13.51/13.89    n1 }.
% 13.51/13.89  (235) {G0,W15,D2,L5,V1,M5} I { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = 
% 13.51/13.89    n1, X = n2 }.
% 13.51/13.89  (239) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 13.51/13.89  (557) {G1,W3,D2,L1,V0,M1} R(9,216) { leq( n0, n1 ) }.
% 13.51/13.89  (16959) {G1,W6,D2,L2,V0,M2} R(233,200) { ! leq( skol15, n0 ), skol15 ==> n0
% 13.51/13.89     }.
% 13.51/13.89  (16992) {G2,W3,D2,L1,V0,M1} P(233,202);d(171);d(16959);q;r(3) { ! leq( 
% 13.51/13.89    skol15, n0 ) }.
% 13.51/13.89  (17275) {G3,W4,D3,L1,V0,M1} R(16992,149);d(239) { ! leq( succ( skol15 ), n1
% 13.51/13.89     ) }.
% 13.51/13.89  (17382) {G1,W9,D2,L3,V0,M3} R(234,200) { ! leq( skol15, n1 ), skol15 ==> n0
% 13.51/13.89    , n1 ==> skol15 }.
% 13.51/13.89  (17410) {G3,W6,D2,L2,V0,M2} P(234,16992);d(17382);f;r(3) { ! leq( skol15, 
% 13.51/13.89    n1 ), n1 ==> skol15 }.
% 13.51/13.89  (17426) {G1,W6,D2,L2,V0,M2} P(234,202);d(172);q;r(200) { ! leq( skol15, n1
% 13.51/13.89     ), skol15 ==> n0 }.
% 13.51/13.89  (18145) {G1,W9,D2,L3,V0,M3} R(235,200);r(201) { skol15 ==> n0, n1 ==> 
% 13.51/13.89    skol15, n2 ==> skol15 }.
% 13.51/13.89  (18199) {G2,W9,D2,L3,V0,M3} P(235,202);d(173);d(18145);q;r(200) { skol15 
% 13.51/13.89    ==> n0, n1 ==> skol15, ! leq( skol15, skol15 ) }.
% 13.51/13.89  (20368) {G3,W6,D2,L2,V0,M2} S(18199);r(3) { skol15 ==> n0, n1 ==> skol15
% 13.51/13.89     }.
% 13.51/13.89  (20425) {G4,W3,D2,L1,V0,M1} S(17410);d(20368);r(557) { n1 ==> skol15 }.
% 13.51/13.89  (20429) {G4,W3,D2,L1,V0,M1} S(17426);d(20368);r(3) { skol15 ==> n0 }.
% 13.51/13.89  (20435) {G5,W0,D0,L0,V0,M0} S(17275);d(20429);d(239);d(20425);d(20429);r(3)
% 13.51/13.89     {  }.
% 13.51/13.89  
% 13.51/13.89  
% 13.51/13.89  % SZS output end Refutation
% 13.51/13.89  found a proof!
% 13.51/13.89  
% 13.51/13.89  
% 13.51/13.89  Unprocessed initial clauses:
% 13.51/13.89  
% 13.51/13.89  (20437) {G0,W9,D2,L3,V2,M3}  { gt( X, Y ), gt( Y, X ), X = Y }.
% 13.51/13.89  (20438) {G0,W9,D2,L3,V3,M3}  { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 13.51/13.89  (20439) {G0,W3,D2,L1,V1,M1}  { ! gt( X, X ) }.
% 13.51/13.89  (20440) {G0,W3,D2,L1,V1,M1}  { leq( X, X ) }.
% 13.51/13.89  (20441) {G0,W9,D2,L3,V3,M3}  { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 13.51/13.89     }.
% 13.51/13.89  (20442) {G0,W6,D2,L2,V2,M2}  { ! lt( X, Y ), gt( Y, X ) }.
% 13.51/13.89  (20443) {G0,W6,D2,L2,V2,M2}  { ! gt( Y, X ), lt( X, Y ) }.
% 13.51/13.89  (20444) {G0,W6,D2,L2,V2,M2}  { ! geq( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20445) {G0,W6,D2,L2,V2,M2}  { ! leq( Y, X ), geq( X, Y ) }.
% 13.51/13.89  (20446) {G0,W6,D2,L2,V2,M2}  { ! gt( Y, X ), leq( X, Y ) }.
% 13.51/13.89  (20447) {G0,W9,D2,L3,V2,M3}  { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 13.51/13.89  (20448) {G0,W7,D3,L2,V2,M2}  { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 13.51/13.89  (20449) {G0,W7,D3,L2,V2,M2}  { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 13.51/13.89  (20450) {G0,W4,D3,L1,V1,M1}  { gt( succ( X ), X ) }.
% 13.51/13.89  (20451) {G0,W7,D3,L2,V2,M2}  { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 13.51/13.89  (20452) {G0,W7,D3,L2,V2,M2}  { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 13.51/13.89  (20453) {G0,W7,D3,L2,V2,M2}  { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 13.51/13.89  (20454) {G0,W8,D3,L2,V2,M2}  { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 13.51/13.89    , X ) }.
% 13.51/13.89  (20455) {G0,W8,D3,L2,V2,M2}  { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 13.51/13.89    , X ) ) }.
% 13.51/13.89  (20456) {G0,W15,D5,L3,V4,M3}  { ! leq( Y, X ), ! leq( X, Z ), a_select2( 
% 13.51/13.89    tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 13.51/13.89  (20457) {G0,W25,D5,L5,V7,M5}  { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 13.51/13.89    , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ), 
% 13.51/13.89    V0 ), X, T ) = V0 }.
% 13.51/13.89  (20458) {G0,W31,D4,L6,V4,M6}  { alpha10( Y, skol1( X, Y ), skol16( X, Y ) )
% 13.51/13.89    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.51/13.89    ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 13.51/13.89  (20459) {G0,W40,D4,L6,V4,M6}  { ! a_select3( X, skol1( X, Y ), skol16( X, Y
% 13.51/13.89     ) ) = a_select3( X, skol16( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! 
% 13.51/13.89    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 13.51/13.89     = a_select3( trans( X ), T, Z ) }.
% 13.51/13.89  (20460) {G0,W7,D2,L2,V3,M2}  { ! alpha10( X, Y, Z ), alpha1( X, Y ) }.
% 13.51/13.89  (20461) {G0,W7,D2,L2,V3,M2}  { ! alpha10( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20462) {G0,W7,D2,L2,V3,M2}  { ! alpha10( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20463) {G0,W13,D2,L4,V3,M4}  { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha10( X, Y, Z ) }.
% 13.51/13.89  (20464) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20465) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20466) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20467) {G0,W31,D4,L6,V4,M6}  { alpha11( Y, skol2( X, Y ), skol17( X, Y ) )
% 13.51/13.89    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.51/13.89    ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 13.51/13.89  (20468) {G0,W40,D4,L6,V4,M6}  { ! a_select3( X, skol2( X, Y ), skol17( X, Y
% 13.51/13.89     ) ) = a_select3( X, skol17( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! 
% 13.51/13.89    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 13.51/13.89     a_select3( inv( X ), T, Z ) }.
% 13.51/13.89  (20469) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), alpha2( X, Y ) }.
% 13.51/13.89  (20470) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20471) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20472) {G0,W13,D2,L4,V3,M4}  { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha11( X, Y, Z ) }.
% 13.51/13.89  (20473) {G0,W6,D2,L2,V2,M2}  { ! alpha2( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20474) {G0,W6,D2,L2,V2,M2}  { ! alpha2( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20475) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20476) {G0,W43,D4,L8,V6,M8}  { alpha12( Y, skol3( X, Y ), skol18( X, Y ) )
% 13.51/13.89    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 13.51/13.89    , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) = 
% 13.51/13.89    a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 13.51/13.89  (20477) {G0,W52,D4,L8,V6,M8}  { ! a_select3( X, skol3( X, Y ), skol18( X, Y
% 13.51/13.89     ) ) = a_select3( X, skol18( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! 
% 13.51/13.89    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 13.51/13.89    , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 13.51/13.89    ( X, U, U, W ), T, Z ) }.
% 13.51/13.89  (20478) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), alpha3( X, Y ) }.
% 13.51/13.89  (20479) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20480) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20481) {G0,W13,D2,L4,V3,M4}  { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha12( X, Y, Z ) }.
% 13.51/13.89  (20482) {G0,W6,D2,L2,V2,M2}  { ! alpha3( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20483) {G0,W6,D2,L2,V2,M2}  { ! alpha3( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20484) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20485) {G0,W36,D4,L7,V5,M7}  { alpha4( X, Z ), alpha22( Z, skol4( Y, Z ), 
% 13.51/13.89    skol19( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 13.51/13.89    , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 13.51/13.89     ), U, T ) }.
% 13.51/13.89  (20486) {G0,W45,D4,L7,V5,M7}  { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 13.51/13.89     ), skol19( Y, Z ) ) = a_select3( Y, skol19( Y, Z ), skol4( Y, Z ) ), ! 
% 13.51/13.89    leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( 
% 13.51/13.89    tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 13.51/13.89  (20487) {G0,W7,D2,L2,V3,M2}  { ! alpha22( X, Y, Z ), alpha13( X, Y ) }.
% 13.51/13.89  (20488) {G0,W7,D2,L2,V3,M2}  { ! alpha22( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20489) {G0,W7,D2,L2,V3,M2}  { ! alpha22( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20490) {G0,W13,D2,L4,V3,M4}  { ! alpha13( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha22( X, Y, Z ) }.
% 13.51/13.89  (20491) {G0,W6,D2,L2,V2,M2}  { ! alpha13( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20492) {G0,W6,D2,L2,V2,M2}  { ! alpha13( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20493) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha13( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20494) {G0,W11,D3,L2,V2,M2}  { ! alpha4( X, Y ), alpha23( Y, skol5( X, Y )
% 13.51/13.89    , skol20( X, Y ) ) }.
% 13.51/13.89  (20495) {G0,W20,D4,L2,V2,M2}  { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 13.51/13.89    , Y ), skol20( X, Y ) ) = a_select3( X, skol20( X, Y ), skol5( X, Y ) )
% 13.51/13.89     }.
% 13.51/13.89  (20496) {G0,W16,D3,L3,V4,M3}  { ! alpha23( Y, Z, T ), a_select3( X, Z, T ) 
% 13.51/13.89    = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 13.51/13.89  (20497) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 13.51/13.89  (20498) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20499) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20500) {G0,W13,D2,L4,V3,M4}  { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha23( X, Y, Z ) }.
% 13.51/13.89  (20501) {G0,W6,D2,L2,V2,M2}  { ! alpha14( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20502) {G0,W6,D2,L2,V2,M2}  { ! alpha14( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20503) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20504) {G0,W36,D4,L7,V5,M7}  { alpha5( X, Z ), alpha24( Z, skol6( Y, Z ), 
% 13.51/13.89    skol21( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 13.51/13.89    , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 13.51/13.89     ), U, T ) }.
% 13.51/13.89  (20505) {G0,W45,D4,L7,V5,M7}  { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 13.51/13.89     ), skol21( Y, Z ) ) = a_select3( Y, skol21( Y, Z ), skol6( Y, Z ) ), ! 
% 13.51/13.89    leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( 
% 13.51/13.89    tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 13.51/13.89  (20506) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 13.51/13.89  (20507) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20508) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20509) {G0,W13,D2,L4,V3,M4}  { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha24( X, Y, Z ) }.
% 13.51/13.89  (20510) {G0,W6,D2,L2,V2,M2}  { ! alpha15( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20511) {G0,W6,D2,L2,V2,M2}  { ! alpha15( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20512) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20513) {G0,W11,D3,L2,V2,M2}  { ! alpha5( X, Y ), alpha25( Y, skol7( X, Y )
% 13.51/13.89    , skol22( X, Y ) ) }.
% 13.51/13.89  (20514) {G0,W20,D4,L2,V2,M2}  { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 13.51/13.89    , Y ), skol22( X, Y ) ) = a_select3( X, skol22( X, Y ), skol7( X, Y ) )
% 13.51/13.89     }.
% 13.51/13.89  (20515) {G0,W16,D3,L3,V4,M3}  { ! alpha25( Y, Z, T ), a_select3( X, Z, T ) 
% 13.51/13.89    = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 13.51/13.89  (20516) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 13.51/13.89  (20517) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20518) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20519) {G0,W13,D2,L4,V3,M4}  { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha25( X, Y, Z ) }.
% 13.51/13.89  (20520) {G0,W6,D2,L2,V2,M2}  { ! alpha16( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20521) {G0,W6,D2,L2,V2,M2}  { ! alpha16( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20522) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20523) {G0,W39,D6,L6,V5,M6}  { alpha17( Y, skol8( X, Y ), skol23( X, Y ) )
% 13.51/13.89    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 13.51/13.89    ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( 
% 13.51/13.89    tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 13.51/13.89  (20524) {G0,W48,D6,L6,V5,M6}  { ! a_select3( X, skol8( X, Y ), skol23( X, Y
% 13.51/13.89     ) ) = a_select3( X, skol23( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! 
% 13.51/13.89    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, 
% 13.51/13.89    tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 13.51/13.89    ( X, trans( U ) ) ), T, Z ) }.
% 13.51/13.89  (20525) {G0,W7,D2,L2,V3,M2}  { ! alpha17( X, Y, Z ), alpha6( X, Y ) }.
% 13.51/13.89  (20526) {G0,W7,D2,L2,V3,M2}  { ! alpha17( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20527) {G0,W7,D2,L2,V3,M2}  { ! alpha17( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20528) {G0,W13,D2,L4,V3,M4}  { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha17( X, Y, Z ) }.
% 13.51/13.89  (20529) {G0,W6,D2,L2,V2,M2}  { ! alpha6( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20530) {G0,W6,D2,L2,V2,M2}  { ! alpha6( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20531) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20532) {G0,W39,D6,L6,V6,M6}  { alpha18( Y, skol9( X, Y ), skol24( X, Y ) )
% 13.51/13.89    , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 13.51/13.89    ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( 
% 13.51/13.89    tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 13.51/13.89  (20533) {G0,W48,D6,L6,V6,M6}  { ! a_select3( X, skol9( X, Y ), skol24( X, Y
% 13.51/13.89     ) ) = a_select3( X, skol24( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! 
% 13.51/13.89    leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, 
% 13.51/13.89    tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 13.51/13.89    ( X, trans( W ) ) ), T, Z ) }.
% 13.51/13.89  (20534) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), alpha7( X, Y ) }.
% 13.51/13.89  (20535) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20536) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20537) {G0,W13,D2,L4,V3,M4}  { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha18( X, Y, Z ) }.
% 13.51/13.89  (20538) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20539) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20540) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20541) {G0,W72,D10,L8,V9,M8}  { alpha8( Y ), alpha19( X, T ), alpha29( T, 
% 13.51/13.89    skol10( Z, T ), skol25( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( 
% 13.51/13.89    n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 13.51/13.89    ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 13.51/13.89    , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 13.51/13.89    ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, 
% 13.51/13.89    tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 13.51/13.89     ) ), trans( V0 ) ) ) ), W, U ) }.
% 13.51/13.89  (20542) {G0,W81,D10,L8,V9,M8}  { alpha8( Y ), alpha19( X, T ), ! a_select3
% 13.51/13.89    ( Z, skol10( Z, T ), skol25( Z, T ) ) = a_select3( Z, skol25( Z, T ), 
% 13.51/13.89    skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 13.51/13.89    , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( 
% 13.51/13.89    tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 13.51/13.89    , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 13.51/13.89    , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 13.51/13.89    ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 13.51/13.89     ) ), W, U ) }.
% 13.51/13.89  (20543) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), alpha26( X, Y ) }.
% 13.51/13.89  (20544) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20545) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20546) {G0,W13,D2,L4,V3,M4}  { ! alpha26( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha29( X, Y, Z ) }.
% 13.51/13.89  (20547) {G0,W6,D2,L2,V2,M2}  { ! alpha26( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20548) {G0,W6,D2,L2,V2,M2}  { ! alpha26( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20549) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha26( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20550) {G0,W11,D3,L2,V2,M2}  { ! alpha19( X, Y ), alpha30( Y, skol11( X, Y
% 13.51/13.89     ), skol26( X, Y ) ) }.
% 13.51/13.89  (20551) {G0,W20,D4,L2,V2,M2}  { ! alpha19( X, Y ), ! a_select3( X, skol11( 
% 13.51/13.89    X, Y ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol11( X, Y ) )
% 13.51/13.89     }.
% 13.51/13.89  (20552) {G0,W16,D3,L3,V4,M3}  { ! alpha30( Y, Z, T ), a_select3( X, Z, T ) 
% 13.51/13.89    = a_select3( X, T, Z ), alpha19( X, Y ) }.
% 13.51/13.89  (20553) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 13.51/13.89  (20554) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20555) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20556) {G0,W13,D2,L4,V3,M4}  { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha30( X, Y, Z ) }.
% 13.51/13.89  (20557) {G0,W6,D2,L2,V2,M2}  { ! alpha27( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20558) {G0,W6,D2,L2,V2,M2}  { ! alpha27( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20559) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20560) {G0,W10,D3,L2,V2,M2}  { ! alpha8( X ), alpha28( Y, skol12( X, Y ), 
% 13.51/13.89    skol27( X, Y ) ) }.
% 13.51/13.89  (20561) {G0,W19,D4,L2,V2,M2}  { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 13.51/13.89     ), skol27( X, Y ) ) = a_select3( X, skol27( X, Y ), skol12( X, Y ) ) }.
% 13.51/13.89  (20562) {G0,W16,D3,L3,V3,M3}  { ! alpha28( skol29( X ), Y, Z ), a_select3( 
% 13.51/13.89    X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 13.51/13.89  (20563) {G0,W7,D2,L2,V3,M2}  { ! alpha28( X, Y, Z ), alpha20( X, Y ) }.
% 13.51/13.89  (20564) {G0,W7,D2,L2,V3,M2}  { ! alpha28( X, Y, Z ), leq( n0, Z ) }.
% 13.51/13.89  (20565) {G0,W7,D2,L2,V3,M2}  { ! alpha28( X, Y, Z ), leq( Z, X ) }.
% 13.51/13.89  (20566) {G0,W13,D2,L4,V3,M4}  { ! alpha20( X, Y ), ! leq( n0, Z ), ! leq( Z
% 13.51/13.89    , X ), alpha28( X, Y, Z ) }.
% 13.51/13.89  (20567) {G0,W6,D2,L2,V2,M2}  { ! alpha20( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20568) {G0,W6,D2,L2,V2,M2}  { ! alpha20( X, Y ), leq( Y, X ) }.
% 13.51/13.89  (20569) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha20( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20570) {G0,W6,D3,L1,V1,M1}  { sum( n0, tptp_minus_1, X ) = n0 }.
% 13.51/13.89  (20571) {G0,W6,D3,L1,V1,M1}  { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 13.51/13.89     }.
% 13.51/13.89  (20572) {G0,W4,D3,L1,V0,M1}  { succ( tptp_minus_1 ) = n0 }.
% 13.51/13.89  (20573) {G0,W6,D3,L1,V1,M1}  { plus( X, n1 ) = succ( X ) }.
% 13.51/13.89  (20574) {G0,W6,D3,L1,V1,M1}  { plus( n1, X ) = succ( X ) }.
% 13.51/13.89  (20575) {G0,W7,D4,L1,V1,M1}  { plus( X, n2 ) = succ( succ( X ) ) }.
% 13.51/13.89  (20576) {G0,W7,D4,L1,V1,M1}  { plus( n2, X ) = succ( succ( X ) ) }.
% 13.51/13.89  (20577) {G0,W8,D5,L1,V1,M1}  { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 13.51/13.89     }.
% 13.51/13.89  (20578) {G0,W8,D5,L1,V1,M1}  { plus( n3, X ) = succ( succ( succ( X ) ) )
% 13.51/13.89     }.
% 13.51/13.89  (20579) {G0,W9,D6,L1,V1,M1}  { plus( X, n4 ) = succ( succ( succ( succ( X )
% 13.51/13.89     ) ) ) }.
% 13.51/13.89  (20580) {G0,W9,D6,L1,V1,M1}  { plus( n4, X ) = succ( succ( succ( succ( X )
% 13.51/13.89     ) ) ) }.
% 13.51/13.89  (20581) {G0,W10,D7,L1,V1,M1}  { plus( X, n5 ) = succ( succ( succ( succ( 
% 13.51/13.89    succ( X ) ) ) ) ) }.
% 13.51/13.89  (20582) {G0,W10,D7,L1,V1,M1}  { plus( n5, X ) = succ( succ( succ( succ( 
% 13.51/13.89    succ( X ) ) ) ) ) }.
% 13.51/13.89  (20583) {G0,W6,D3,L1,V1,M1}  { minus( X, n1 ) = pred( X ) }.
% 13.51/13.89  (20584) {G0,W5,D4,L1,V1,M1}  { pred( succ( X ) ) = X }.
% 13.51/13.89  (20585) {G0,W5,D4,L1,V1,M1}  { succ( pred( X ) ) = X }.
% 13.51/13.89  (20586) {G0,W8,D3,L2,V2,M2}  { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 13.51/13.89     }.
% 13.51/13.89  (20587) {G0,W8,D3,L2,V2,M2}  { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 13.51/13.89     }.
% 13.51/13.89  (20588) {G0,W7,D3,L2,V2,M2}  { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 13.51/13.89  (20589) {G0,W8,D3,L2,V2,M2}  { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 13.51/13.89  (20590) {G0,W10,D4,L1,V4,M1}  { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 13.51/13.89     ) = T }.
% 13.51/13.89  (20591) {G0,W22,D4,L4,V7,M4}  { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 13.51/13.89    , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 13.51/13.89  (20592) {G0,W29,D4,L6,V9,M6}  { leq( skol28( V0, T, V1, V2 ), T ), ! leq( 
% 13.51/13.89    n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( 
% 13.51/13.89    tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.51/13.89  (20593) {G0,W34,D4,L6,V6,M6}  { alpha21( Z, skol13( Z, T, U, W ), skol28( Z
% 13.51/13.89    , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 13.51/13.89     ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.51/13.89  (20594) {G0,W36,D4,L6,V6,M6}  { ! a_select3( U, skol13( Z, T, U, W ), 
% 13.51/13.89    skol28( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 13.51/13.89    , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 13.51/13.89  (20595) {G0,W7,D2,L2,V3,M2}  { ! alpha21( X, Y, Z ), alpha9( Y, Z ) }.
% 13.51/13.89  (20596) {G0,W7,D2,L2,V3,M2}  { ! alpha21( X, Y, Z ), leq( Y, X ) }.
% 13.51/13.89  (20597) {G0,W10,D2,L3,V3,M3}  { ! alpha9( Y, Z ), ! leq( Y, X ), alpha21( X
% 13.51/13.89    , Y, Z ) }.
% 13.51/13.89  (20598) {G0,W6,D2,L2,V2,M2}  { ! alpha9( X, Y ), leq( n0, X ) }.
% 13.51/13.89  (20599) {G0,W6,D2,L2,V2,M2}  { ! alpha9( X, Y ), leq( n0, Y ) }.
% 13.51/13.89  (20600) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 13.51/13.89     ) }.
% 13.51/13.89  (20601) {G0,W8,D4,L1,V3,M1}  { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 13.51/13.89     }.
% 13.51/13.89  (20602) {G0,W16,D4,L3,V5,M3}  { X = Y, ! a_select2( Z, Y ) = T, a_select2( 
% 13.51/13.89    tptp_update2( Z, X, U ), Y ) = T }.
% 13.51/13.89  (20603) {G0,W20,D4,L4,V7,M4}  { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 13.51/13.89     ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 13.51/13.89  (20604) {G0,W20,D4,L4,V6,M4}  { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 13.51/13.89    , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 13.51/13.89  (20605) {G0,W22,D4,L4,V4,M4}  { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! 
% 13.51/13.89    leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 13.51/13.89     }.
% 13.51/13.89  (20606) {G0,W1,D1,L1,V0,M1}  { true }.
% 13.51/13.89  (20607) {G0,W3,D2,L1,V0,M1}  { ! def = use }.
% 13.51/13.89  (20608) {G0,W5,D3,L1,V0,M1}  { a_select2( rho_defuse, n0 ) = use }.
% 13.51/13.89  (20609) {G0,W5,D3,L1,V0,M1}  { a_select2( rho_defuse, n1 ) = use }.
% 13.51/13.89  (20610) {G0,W5,D3,L1,V0,M1}  { a_select2( rho_defuse, n2 ) = use }.
% 13.51/13.89  (20611) {G0,W5,D3,L1,V0,M1}  { a_select2( sigma_defuse, n0 ) = use }.
% 13.51/13.89  (20612) {G0,W5,D3,L1,V0,M1}  { a_select2( sigma_defuse, n1 ) = use }.
% 13.51/13.89  (20613) {G0,W5,D3,L1,V0,M1}  { a_select2( sigma_defuse, n2 ) = use }.
% 13.51/13.89  (20614) {G0,W5,D3,L1,V0,M1}  { a_select2( sigma_defuse, n3 ) = use }.
% 13.51/13.89  (20615) {G0,W5,D3,L1,V0,M1}  { a_select2( sigma_defuse, n4 ) = use }.
% 13.51/13.89  (20616) {G0,W5,D3,L1,V0,M1}  { a_select2( sigma_defuse, n5 ) = use }.
% 13.51/13.89  (20617) {G0,W6,D3,L1,V0,M1}  { a_select3( u_defuse, n0, n0 ) = use }.
% 13.51/13.89  (20618) {G0,W6,D3,L1,V0,M1}  { a_select3( u_defuse, n1, n0 ) = use }.
% 13.51/13.89  (20619) {G0,W6,D3,L1,V0,M1}  { a_select3( u_defuse, n2, n0 ) = use }.
% 13.51/13.89  (20620) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_defuse, n3 ) = use }.
% 13.51/13.89  (20621) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_defuse, n4 ) = use }.
% 13.51/13.89  (20622) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_defuse, n5 ) = use }.
% 13.51/13.89  (20623) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_mean_defuse, n0 ) = use }.
% 13.51/13.89  (20624) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_mean_defuse, n1 ) = use }.
% 13.51/13.89  (20625) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_mean_defuse, n2 ) = use }.
% 13.51/13.89  (20626) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_mean_defuse, n3 ) = use }.
% 13.51/13.89  (20627) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_mean_defuse, n4 ) = use }.
% 13.51/13.89  (20628) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_mean_defuse, n5 ) = use }.
% 13.51/13.89  (20629) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_noise_defuse, n0 ) = use
% 13.51/13.89     }.
% 13.51/13.89  (20630) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_noise_defuse, n1 ) = use
% 13.51/13.89     }.
% 13.51/13.89  (20631) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_noise_defuse, n2 ) = use
% 13.51/13.89     }.
% 13.51/13.89  (20632) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_noise_defuse, n3 ) = use
% 13.51/13.89     }.
% 13.51/13.89  (20633) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_noise_defuse, n4 ) = use
% 13.51/13.89     }.
% 13.51/13.89  (20634) {G0,W5,D3,L1,V0,M1}  { a_select2( xinit_noise_defuse, n5 ) = use
% 13.51/13.89     }.
% 13.51/13.89  (20635) {G0,W18,D3,L5,V2,M5}  { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, 
% 13.51/13.89    n2 ), ! leq( Y, n998 ), a_select3( u_defuse, X, Y ) = use }.
% 13.51/13.89  (20636) {G0,W18,D3,L5,V2,M5}  { ! leq( n0, X ), ! leq( n0, Y ), ! leq( X, 
% 13.51/13.89    n2 ), ! leq( Y, n998 ), a_select3( z_defuse, X, Y ) = use }.
% 13.51/13.89  (20637) {G0,W3,D2,L1,V0,M1}  { leq( n0, skol15 ) }.
% 13.51/13.89  (20638) {G0,W3,D2,L1,V0,M1}  { leq( skol15, n2 ) }.
% 13.51/13.89  (20639) {G0,W5,D3,L1,V0,M1}  { ! a_select2( rho_defuse, skol15 ) = use }.
% 13.51/13.89  (20640) {G0,W3,D2,L1,V0,M1}  { gt( n5, n4 ) }.
% 13.51/13.89  (20641) {G0,W3,D2,L1,V0,M1}  { gt( n998, n4 ) }.
% 13.51/13.89  (20642) {G0,W3,D2,L1,V0,M1}  { gt( n998, n5 ) }.
% 13.51/13.89  (20643) {G0,W3,D2,L1,V0,M1}  { gt( n4, tptp_minus_1 ) }.
% 13.51/13.89  (20644) {G0,W3,D2,L1,V0,M1}  { gt( n5, tptp_minus_1 ) }.
% 13.51/13.89  (20645) {G0,W3,D2,L1,V0,M1}  { gt( n998, tptp_minus_1 ) }.
% 13.51/13.89  (20646) {G0,W3,D2,L1,V0,M1}  { gt( n0, tptp_minus_1 ) }.
% 13.51/13.89  (20647) {G0,W3,D2,L1,V0,M1}  { gt( n1, tptp_minus_1 ) }.
% 13.51/13.89  (20648) {G0,W3,D2,L1,V0,M1}  { gt( n2, tptp_minus_1 ) }.
% 13.51/13.89  (20649) {G0,W3,D2,L1,V0,M1}  { gt( n3, tptp_minus_1 ) }.
% 13.51/13.89  (20650) {G0,W3,D2,L1,V0,M1}  { gt( n4, n0 ) }.
% 13.51/13.89  (20651) {G0,W3,D2,L1,V0,M1}  { gt( n5, n0 ) }.
% 13.51/13.89  (20652) {G0,W3,D2,L1,V0,M1}  { gt( n998, n0 ) }.
% 13.51/13.89  (20653) {G0,W3,D2,L1,V0,M1}  { gt( n1, n0 ) }.
% 13.51/13.89  (20654) {G0,W3,D2,L1,V0,M1}  { gt( n2, n0 ) }.
% 13.51/13.89  (20655) {G0,W3,D2,L1,V0,M1}  { gt( n3, n0 ) }.
% 13.51/13.89  (20656) {G0,W3,D2,L1,V0,M1}  { gt( n4, n1 ) }.
% 13.51/13.89  (20657) {G0,W3,D2,L1,V0,M1}  { gt( n5, n1 ) }.
% 13.51/13.89  (20658) {G0,W3,D2,L1,V0,M1}  { gt( n998, n1 ) }.
% 13.51/13.89  (20659) {G0,W3,D2,L1,V0,M1}  { gt( n2, n1 ) }.
% 13.51/13.89  (20660) {G0,W3,D2,L1,V0,M1}  { gt( n3, n1 ) }.
% 13.51/13.89  (20661) {G0,W3,D2,L1,V0,M1}  { gt( n4, n2 ) }.
% 13.51/13.89  (20662) {G0,W3,D2,L1,V0,M1}  { gt( n5, n2 ) }.
% 13.51/13.89  (20663) {G0,W3,D2,L1,V0,M1}  { gt( n998, n2 ) }.
% 13.51/13.89  (20664) {G0,W3,D2,L1,V0,M1}  { gt( n3, n2 ) }.
% 13.51/13.89  (20665) {G0,W3,D2,L1,V0,M1}  { gt( n4, n3 ) }.
% 13.51/13.89  (20666) {G0,W3,D2,L1,V0,M1}  { gt( n5, n3 ) }.
% 13.51/13.89  (20667) {G0,W3,D2,L1,V0,M1}  { gt( n998, n3 ) }.
% 13.51/13.89  (20668) {G0,W21,D2,L7,V1,M7}  { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 13.51/13.89     n1, X = n2, X = n3, X = n4 }.
% 13.51/13.89  (20669) {G0,W24,D2,L8,V1,M8}  { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 13.51/13.89     n1, X = n2, X = n3, X = n4, X = n5 }.
% 13.51/13.89  (20670) {G0,W9,D2,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 13.51/13.89  (20671) {G0,W12,D2,L4,V1,M4}  { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 13.51/13.89     n1 }.
% 13.51/13.89  (20672) {G0,W15,D2,L5,V1,M5}  { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 13.51/13.89     n1, X = n2 }.
% 13.51/13.89  (20673) {G0,W18,D2,L6,V1,M6}  { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 13.57/13.96     n1, X = n2, X = n3 }.
% 13.57/13.96  (20674) {G0,W7,D6,L1,V0,M1}  { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 13.57/13.96  (20675) {G0,W8,D7,L1,V0,M1}  { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 13.57/13.96     n5 }.
% 13.57/13.96  (20676) {G0,W4,D3,L1,V0,M1}  { succ( n0 ) = n1 }.
% 13.57/13.96  (20677) {G0,W5,D4,L1,V0,M1}  { succ( succ( n0 ) ) = n2 }.
% 13.57/13.96  (20678) {G0,W6,D5,L1,V0,M1}  { succ( succ( succ( n0 ) ) ) = n3 }.
% 13.57/13.96  
% 13.57/13.96  
% 13.57/13.96  Total Proof:
% 13.57/13.96  
% 13.57/13.96  subsumption: (3) {G0,W3,D2,L1,V1,M1} I { leq( X, X ) }.
% 13.57/13.96  parent0: (20440) {G0,W3,D2,L1,V1,M1}  { leq( X, X ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := X
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 13.57/13.96  parent0: (20446) {G0,W6,D2,L2,V2,M2}  { ! gt( Y, X ), leq( X, Y ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := X
% 13.57/13.96     Y := Y
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96     1 ==> 1
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ), 
% 13.57/13.96    leq( X, Y ) }.
% 13.57/13.96  parent0: (20586) {G0,W8,D3,L2,V2,M2}  { ! leq( succ( X ), succ( Y ) ), leq
% 13.57/13.96    ( X, Y ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := X
% 13.57/13.96     Y := Y
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96     1 ==> 1
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (171) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n0 ) ==> 
% 13.57/13.96    use }.
% 13.57/13.96  parent0: (20608) {G0,W5,D3,L1,V0,M1}  { a_select2( rho_defuse, n0 ) = use
% 13.57/13.96     }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (172) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n1 ) ==> 
% 13.57/13.96    use }.
% 13.57/13.96  parent0: (20609) {G0,W5,D3,L1,V0,M1}  { a_select2( rho_defuse, n1 ) = use
% 13.57/13.96     }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (173) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n2 ) ==> 
% 13.57/13.96    use }.
% 13.57/13.96  parent0: (20610) {G0,W5,D3,L1,V0,M1}  { a_select2( rho_defuse, n2 ) = use
% 13.57/13.96     }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (200) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 13.57/13.96  parent0: (20637) {G0,W3,D2,L1,V0,M1}  { leq( n0, skol15 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (201) {G0,W3,D2,L1,V0,M1} I { leq( skol15, n2 ) }.
% 13.57/13.96  parent0: (20638) {G0,W3,D2,L1,V0,M1}  { leq( skol15, n2 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (202) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_defuse, skol15
% 13.57/13.96     ) ==> use }.
% 13.57/13.96  parent0: (20639) {G0,W5,D3,L1,V0,M1}  { ! a_select2( rho_defuse, skol15 ) =
% 13.57/13.96     use }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (216) {G0,W3,D2,L1,V0,M1} I { gt( n1, n0 ) }.
% 13.57/13.96  parent0: (20653) {G0,W3,D2,L1,V0,M1}  { gt( n1, n0 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (233) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ), 
% 13.57/13.96    X = n0 }.
% 13.57/13.96  parent0: (20670) {G0,W9,D2,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, n0 ), X =
% 13.57/13.96     n0 }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := X
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96     1 ==> 1
% 13.57/13.96     2 ==> 2
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (234) {G0,W12,D2,L4,V1,M4} I { ! leq( n0, X ), ! leq( X, n1 )
% 13.57/13.96    , X = n0, X = n1 }.
% 13.57/13.96  parent0: (20671) {G0,W12,D2,L4,V1,M4}  { ! leq( n0, X ), ! leq( X, n1 ), X 
% 13.57/13.96    = n0, X = n1 }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := X
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96     1 ==> 1
% 13.57/13.96     2 ==> 2
% 13.57/13.96     3 ==> 3
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  *** allocated 1297440 integers for termspace/termends
% 13.57/13.96  subsumption: (235) {G0,W15,D2,L5,V1,M5} I { ! leq( n0, X ), ! leq( X, n2 )
% 13.57/13.96    , X = n0, X = n1, X = n2 }.
% 13.57/13.96  parent0: (20672) {G0,W15,D2,L5,V1,M5}  { ! leq( n0, X ), ! leq( X, n2 ), X 
% 13.57/13.96    = n0, X = n1, X = n2 }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := X
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96     1 ==> 1
% 13.57/13.96     2 ==> 2
% 13.57/13.96     3 ==> 3
% 13.57/13.96     4 ==> 4
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (239) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 13.57/13.96  parent0: (20676) {G0,W4,D3,L1,V0,M1}  { succ( n0 ) = n1 }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  resolution: (27641) {G1,W3,D2,L1,V0,M1}  { leq( n0, n1 ) }.
% 13.57/13.96  parent0[0]: (9) {G0,W6,D2,L2,V2,M2} I { ! gt( Y, X ), leq( X, Y ) }.
% 13.57/13.96  parent1[0]: (216) {G0,W3,D2,L1,V0,M1} I { gt( n1, n0 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := n0
% 13.57/13.96     Y := n1
% 13.57/13.96  end
% 13.57/13.96  substitution1:
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (557) {G1,W3,D2,L1,V0,M1} R(9,216) { leq( n0, n1 ) }.
% 13.57/13.96  parent0: (27641) {G1,W3,D2,L1,V0,M1}  { leq( n0, n1 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  eqswap: (27642) {G0,W9,D2,L3,V1,M3}  { n0 = X, ! leq( n0, X ), ! leq( X, n0
% 13.57/13.96     ) }.
% 13.57/13.96  parent0[2]: (233) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ), X
% 13.57/13.96     = n0 }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := X
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  resolution: (27643) {G1,W6,D2,L2,V0,M2}  { n0 = skol15, ! leq( skol15, n0 )
% 13.57/13.96     }.
% 13.57/13.96  parent0[1]: (27642) {G0,W9,D2,L3,V1,M3}  { n0 = X, ! leq( n0, X ), ! leq( X
% 13.57/13.96    , n0 ) }.
% 13.57/13.96  parent1[0]: (200) {G0,W3,D2,L1,V0,M1} I { leq( n0, skol15 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := skol15
% 13.57/13.96  end
% 13.57/13.96  substitution1:
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  eqswap: (27644) {G1,W6,D2,L2,V0,M2}  { skol15 = n0, ! leq( skol15, n0 ) }.
% 13.57/13.96  parent0[0]: (27643) {G1,W6,D2,L2,V0,M2}  { n0 = skol15, ! leq( skol15, n0 )
% 13.57/13.96     }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  subsumption: (16959) {G1,W6,D2,L2,V0,M2} R(233,200) { ! leq( skol15, n0 ), 
% 13.57/13.96    skol15 ==> n0 }.
% 13.57/13.96  parent0: (27644) {G1,W6,D2,L2,V0,M2}  { skol15 = n0, ! leq( skol15, n0 )
% 13.57/13.96     }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  permutation0:
% 13.57/13.96     0 ==> 1
% 13.57/13.96     1 ==> 0
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  eqswap: (27646) {G0,W5,D3,L1,V0,M1}  { ! use ==> a_select2( rho_defuse, 
% 13.57/13.96    skol15 ) }.
% 13.57/13.96  parent0[0]: (202) {G0,W5,D3,L1,V0,M1} I { ! a_select2( rho_defuse, skol15 )
% 13.57/13.96     ==> use }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  paramod: (27652) {G1,W11,D3,L3,V0,M3}  { ! use ==> a_select2( rho_defuse, 
% 13.57/13.96    n0 ), ! leq( n0, skol15 ), ! leq( skol15, n0 ) }.
% 13.57/13.96  parent0[2]: (233) {G0,W9,D2,L3,V1,M3} I { ! leq( n0, X ), ! leq( X, n0 ), X
% 13.57/13.96     = n0 }.
% 13.57/13.96  parent1[0; 5]: (27646) {G0,W5,D3,L1,V0,M1}  { ! use ==> a_select2( 
% 13.57/13.96    rho_defuse, skol15 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96     X := skol15
% 13.57/13.96  end
% 13.57/13.96  substitution1:
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  paramod: (27730) {G1,W9,D2,L3,V0,M3}  { ! use ==> use, ! leq( n0, skol15 )
% 13.57/13.96    , ! leq( skol15, n0 ) }.
% 13.57/13.96  parent0[0]: (171) {G0,W5,D3,L1,V0,M1} I { a_select2( rho_defuse, n0 ) ==> 
% 13.57/13.96    use }.
% 13.57/13.96  parent1[0; 3]: (27652) {G1,W11,D3,L3,V0,M3}  { ! use ==> a_select2( 
% 13.57/13.96    rho_defuse, n0 ), ! leq( n0, skol15 ), ! leq( skol15, n0 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  substitution1:
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  paramod: (27731) {G2,W12,D2,L4,V0,M4}  { ! leq( n0, n0 ), ! leq( skol15, n0
% 13.57/13.96     ), ! use ==> use, ! leq( skol15, n0 ) }.
% 13.57/13.96  parent0[1]: (16959) {G1,W6,D2,L2,V0,M2} R(233,200) { ! leq( skol15, n0 ), 
% 13.57/13.96    skol15 ==> n0 }.
% 13.57/13.96  parent1[1; 3]: (27730) {G1,W9,D2,L3,V0,M3}  { ! use ==> use, ! leq( n0, 
% 13.57/13.96    skol15 ), ! leq( skol15, n0 ) }.
% 13.57/13.96  substitution0:
% 13.57/13.96  end
% 13.57/13.96  substitution1:
% 13.57/13.96  end
% 13.57/13.96  
% 13.57/13.96  factor: (27742) {G2,W9,D2,L3,V0,M3}  { ! leq( n0, n0 ), ! leq( skol15, n0 )
% 13.57/13.97    , ! use ==> use }.
% 13.57/13.97  parent0[1, 3]: (27731) {G2,W12,D2,L4,V0,M4}  { ! leq( n0, n0 ), ! leq( 
% 13.57/13.97    skol15, n0 ), ! use ==> use, ! leq( skol15, n0 ) }.
% 13.57/13.97  substitution0:
% 13.57/13.97  end
% 13.57/13.97  
% 13.57/13.97  eqrefl: (27743) {G0,W6,D2,L2,V0,M2}  { ! leq( n0, n0 ), ! leq( skol15, n0 )
% 13.57/13.97     }.
% 13.57/13.97  parent0[2]: (27742) {G2,W9,D2,L3,V0,M3}  { ! leq( n0, n0 ), ! leq( skol15, 
% 13.57/13.97    n0 ), ! use ==> use }.
% 13.57/13.97  substitution0:
% 13.57/13.97  end
% 13.57/13.97  
% 13.57/13.97  resolution: (27744) {G1,W3,D2,L1,V0,M1}  { ! leq( skol15, n0 ) }.
% 13.57/13.97  parent0[0]: (27743) {G0,W6,D2,L2,V0,M2}  { ! leq( n0, n0 ), ! leq( skol15, 
% 13.57/13.97    n0 ) }.
% 13.57/13.97  parent1[0]: (3) {G0,W3,D2,L1,V1,M1} I { leq( X, X ) }.
% 13.57/13.97  substitution0:
% 13.57/13.97  end
% 13.57/13.97  substitution1:
% 13.57/13.97     X := n0
% 13.57/13.97  end
% 13.57/13.97  
% 13.57/13.97  subsumption: (16992) {G2,W3,D2,L1,V0,M1} P(233,202);d(171);d(16959);q;r(3)
% 13.57/13.97     { ! leq( skol15, n0 ) }.
% 13.57/13.97  parent0: (27744) {G1,W3,D2,L1,V0,M1}  { ! leq( skol15, n0 ) }.
% 13.57/13.97  substitution0:
% 13.57/13.97  end
% 13.57/13.97  permutation0:
% 13.57/13.97     0 ==> 0
% 13.57/13.97  end
% 13.57/13.97  
% 13.57/13.97  resolution: (27746) {G1,W5,D3,L1,V0,M1}  { ! leq( succ( skol15 ), succ( n0
% 13.57/13.97     ) ) }.
% 13.57/13.97  parent0[0]: (16992) {G2,W3,D2,L1,V0,M1} P(233,202);d(171);d(16959);q;r(3)
% 13.57/13.97     { ! leq( skol15, n0 ) }.
% 13.57/13.97  parent1[1]: (149) {G0,W8,D3,L2,V2,M2} I { ! leq( succ( X ), succ( Y ) ), 
% 13.57/13.97    leq( X, Y ) }.
% 13.57/13.97  substitution0:
% 13.57/13.97  end
% 13.57/13.97  substitution1:
% 13.57/13.97     X := skol15
% 13.57/13.97     Y := n0
% 13.57/13.97  end
% 13.57/13.97  
% 13.57/13.97  paramod: (27747) {G1,W4,D3,L1,V0,M1}  { ! leq( succ( skol15 ), n1 ) }.
% 13.57/13.97  parent0[0]: (239) {G0,W4,D3,L1,V0,M1} I { succ( n0 ) ==> n1 }.
% 13.57/13.97  parent1[0; 4]: (27746) {G1,W5,D3,L1,V0,M1}  { ! leq( succ( skol15 ), succ( 
% 13.57/13.97    n0 ) ) }.
% 13.57/13.97  substitution0:
% 13.57/13.97  end
% 13.57/13.97  substitution1:
% 13.57/13.97  end
% 13.57/13.97  
% 13.57/13.97  subsumption: (17275) {G3,W4,D3,L1,V0,M1} R(16992,149);d(239) { ! leq( succ
% 13.57/13.97    ( skol15 ), n1 ) }.
% 13.57/13.97  parent0: (27747) {G1,W4,D3,L1,V0,M1}  { ! leq( succ( skol15 ), n1 ) }.
% 13.57/13.97  substitution0:
% 13.57/13.97  end
% 13.57/13.97  permutation0:
% 13.57/13.97     0 ==> 0
% 13.57/13.97  end
% 13.57/13.97  
% 13.57/13.97  eqswap: (27748) {G0,W12,D2,L4,V1,M4}  { n0 = X, ! leq( n0, X ), ! leq( X, 
% 13.57/13.97    n1 ), X = n1 }.
% 13.57/13.97  parent0[2]: (234) {G0,W12,D2,L4,V1,M4} I { ! leq( n0, X ), ! leq( X, n1 ), 
% 13.57/13.97    X = n0, X = n1 }.
% 13.57/13.97  substitution0:
% 13.57/13.97     X := X
% 13.57/13.97  end
% 13.57/13.97  
% 13.57/13.97  resolution: (27751) {G1,W9,D2,L3,V0,M3}  { n0 = skol15, ! leq( skol15, n1 )
% 13.57/13.97    , skol15 = n1 }.
% 13.57/13.97  parent0[1]: (27748) {G0,W12,D2,L4,V1Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------