TSTP Solution File: SWV077+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 16:22:24 EDT 2022

% Result   : Theorem 1.64s 2.01s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n024.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 15:43:18 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.75/1.10  *** allocated 10000 integers for termspace/termends
% 0.75/1.10  *** allocated 10000 integers for clauses
% 0.75/1.10  *** allocated 10000 integers for justifications
% 0.75/1.10  Bliksem 1.12
% 0.75/1.10  
% 0.75/1.10  
% 0.75/1.10  Automatic Strategy Selection
% 0.75/1.10  
% 0.75/1.10  
% 0.75/1.10  Clauses:
% 0.75/1.10  
% 0.75/1.10  { gt( X, Y ), gt( Y, X ), X = Y }.
% 0.75/1.10  { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 0.75/1.10  { ! gt( X, X ) }.
% 0.75/1.10  { leq( X, X ) }.
% 0.75/1.10  { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y ) }.
% 0.75/1.10  { ! lt( X, Y ), gt( Y, X ) }.
% 0.75/1.10  { ! gt( Y, X ), lt( X, Y ) }.
% 0.75/1.10  { ! geq( X, Y ), leq( Y, X ) }.
% 0.75/1.10  { ! leq( Y, X ), geq( X, Y ) }.
% 0.75/1.10  { ! gt( Y, X ), leq( X, Y ) }.
% 0.75/1.10  { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 0.75/1.10  { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 0.75/1.10  { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 0.75/1.10  { gt( succ( X ), X ) }.
% 0.75/1.10  { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 0.75/1.10  { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 0.75/1.10  { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 0.75/1.10  { ! leq( n0, X ), leq( uniform_int_rnd( Y, X ), X ) }.
% 0.75/1.10  { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y, X ) ) }.
% 0.75/1.10  { ! leq( Y, X ), ! leq( X, Z ), a_select2( tptp_const_array1( dim( Y, Z ), 
% 0.75/1.10    T ), X ) = T }.
% 0.75/1.10  { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T ), ! leq( T, W ), a_select3( 
% 0.75/1.10    tptp_const_array2( dim( Y, Z ), dim( U, W ), V0 ), X, T ) = V0 }.
% 0.75/1.10  { alpha11( Y, skol1( X, Y ), skol15( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.75/1.10     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T ) = 
% 0.75/1.10    a_select3( trans( X ), T, Z ) }.
% 0.75/1.10  { ! a_select3( X, skol1( X, Y ), skol15( X, Y ) ) = a_select3( X, skol15( X
% 0.75/1.10    , Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.75/1.10    leq( T, Y ), a_select3( trans( X ), Z, T ) = a_select3( trans( X ), T, Z
% 0.75/1.10     ) }.
% 0.75/1.10  { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 0.75/1.10  { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.10  { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.10  { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha11( X, Y, Z ) }.
% 0.75/1.10  { ! alpha1( X, Y ), leq( n0, Y ) }.
% 0.75/1.10  { ! alpha1( X, Y ), leq( Y, X ) }.
% 0.75/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y ) }.
% 0.75/1.10  { alpha12( Y, skol2( X, Y ), skol16( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.75/1.10     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) = 
% 0.75/1.10    a_select3( inv( X ), T, Z ) }.
% 0.75/1.10  { ! a_select3( X, skol2( X, Y ), skol16( X, Y ) ) = a_select3( X, skol16( X
% 0.75/1.10    , Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.75/1.10    leq( T, Y ), a_select3( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }
% 0.75/1.10    .
% 0.75/1.10  { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 0.75/1.10  { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.10  { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.10  { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha12( X, Y, Z ) }.
% 0.75/1.10  { ! alpha2( X, Y ), leq( n0, Y ) }.
% 0.75/1.10  { ! alpha2( X, Y ), leq( Y, X ) }.
% 0.75/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y ) }.
% 0.75/1.10  { alpha13( Y, skol3( X, Y ), skol17( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.75/1.10     ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), 
% 0.75/1.10    a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3( 
% 0.75/1.10    X, U, U, W ), T, Z ) }.
% 0.75/1.10  { ! a_select3( X, skol3( X, Y ), skol17( X, Y ) ) = a_select3( X, skol17( X
% 0.75/1.10    , Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.75/1.10    leq( T, Y ), ! leq( n0, U ), ! leq( U, Y ), a_select3( tptp_update3( X, U
% 0.75/1.10    , U, W ), Z, T ) = a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 0.75/1.10  { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 0.75/1.10  { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.10  { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.10  { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha13( X, Y, Z ) }.
% 0.75/1.10  { ! alpha3( X, Y ), leq( n0, Y ) }.
% 0.75/1.10  { ! alpha3( X, Y ), leq( Y, X ) }.
% 0.75/1.10  { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y ) }.
% 0.75/1.10  { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ), skol18( Y, Z ) ), ! leq( n0, T
% 0.75/1.10     ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X
% 0.75/1.10    , Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.75/1.10  { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z ), skol18( Y, Z ) ) = 
% 0.75/1.10    a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! leq( n0, T ), ! leq( T, 
% 0.75/1.10    Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_madd( X, Y ), T, U ) 
% 0.75/1.10    = a_select3( tptp_madd( X, Y ), U, T ) }.
% 0.75/1.10  { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 0.75/1.10  { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.10  { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.10  { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha23( X, Y, Z ) }.
% 0.75/1.11  { ! alpha14( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha14( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y ) }.
% 0.75/1.11  { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y ), skol19( X, Y ) ) }.
% 0.75/1.11  { ! alpha4( X, Y ), ! a_select3( X, skol5( X, Y ), skol19( X, Y ) ) = 
% 0.75/1.11    a_select3( X, skol19( X, Y ), skol5( X, Y ) ) }.
% 0.75/1.11  { ! alpha24( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha4
% 0.75/1.11    ( X, Y ) }.
% 0.75/1.11  { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 0.75/1.11  { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.11  { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.11  { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha24( X, Y, Z ) }.
% 0.75/1.11  { ! alpha15( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha15( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y ) }.
% 0.75/1.11  { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ), skol20( Y, Z ) ), ! leq( n0, T
% 0.75/1.11     ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X
% 0.75/1.11    , Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.75/1.11  { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z ), skol20( Y, Z ) ) = 
% 0.75/1.11    a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! leq( n0, T ), ! leq( T, 
% 0.75/1.11    Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( tptp_msub( X, Y ), T, U ) 
% 0.75/1.11    = a_select3( tptp_msub( X, Y ), U, T ) }.
% 0.75/1.11  { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 0.75/1.11  { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.11  { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.11  { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha25( X, Y, Z ) }.
% 0.75/1.11  { ! alpha16( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha16( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y ) }.
% 0.75/1.11  { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y ), skol21( X, Y ) ) }.
% 0.75/1.11  { ! alpha5( X, Y ), ! a_select3( X, skol7( X, Y ), skol21( X, Y ) ) = 
% 0.75/1.11    a_select3( X, skol21( X, Y ), skol7( X, Y ) ) }.
% 0.75/1.11  { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), alpha5
% 0.75/1.11    ( X, Y ) }.
% 0.75/1.11  { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 0.75/1.11  { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.11  { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.11  { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha26( X, Y, Z ) }.
% 0.75/1.11  { ! alpha17( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha17( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y ) }.
% 0.75/1.11  { alpha18( Y, skol8( X, Y ), skol22( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y
% 0.75/1.11     ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X
% 0.75/1.11    , trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( 
% 0.75/1.11    U ) ) ), T, Z ) }.
% 0.75/1.11  { ! a_select3( X, skol8( X, Y ), skol22( X, Y ) ) = a_select3( X, skol22( X
% 0.75/1.11    , Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! 
% 0.75/1.11    leq( T, Y ), a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T
% 0.75/1.11     ) = a_select3( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 0.75/1.11  { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 0.75/1.11  { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.11  { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.11  { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha18( X, Y, Z ) }.
% 0.75/1.11  { ! alpha6( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha6( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y ) }.
% 0.75/1.11  { alpha19( Y, skol9( X, Y ), skol23( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U
% 0.75/1.11     ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X
% 0.75/1.11    , trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( 
% 0.75/1.11    W ) ) ), T, Z ) }.
% 0.75/1.11  { ! a_select3( X, skol9( X, Y ), skol23( X, Y ) ) = a_select3( X, skol23( X
% 0.75/1.11    , Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! 
% 0.75/1.11    leq( T, U ), a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T
% 0.75/1.11     ) = a_select3( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 0.75/1.11  { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 0.75/1.11  { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.11  { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.11  { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha19( X, Y, Z ) }.
% 0.75/1.11  { ! alpha7( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha7( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y ) }.
% 0.75/1.11  { alpha8( Y ), alpha20( X, T ), alpha30( T, skol10( Z, T ), skol24( Z, T )
% 0.75/1.11     ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W, T ), 
% 0.75/1.11    a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( 
% 0.75/1.11    V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2
% 0.75/1.11     ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X, tptp_mmul
% 0.75/1.11    ( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) )
% 0.75/1.11    , tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U
% 0.75/1.11     ) }.
% 0.75/1.11  { alpha8( Y ), alpha20( X, T ), ! a_select3( Z, skol10( Z, T ), skol24( Z, 
% 0.75/1.11    T ) ) = a_select3( Z, skol24( Z, T ), skol10( Z, T ) ), ! leq( n0, U ), !
% 0.75/1.11     leq( U, T ), ! leq( n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, 
% 0.75/1.11    tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( 
% 0.75/1.11    V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) )
% 0.75/1.11     ), U, W ) = a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd
% 0.75/1.11    ( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul
% 0.75/1.11    ( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), W, U ) }.
% 0.75/1.11  { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 0.75/1.11  { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.11  { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.11  { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha30( X, Y, Z ) }.
% 0.75/1.11  { ! alpha27( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha27( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y ) }.
% 0.75/1.11  { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y ), skol25( X, Y ) ) }.
% 0.75/1.11  { ! alpha20( X, Y ), ! a_select3( X, skol11( X, Y ), skol25( X, Y ) ) = 
% 0.75/1.11    a_select3( X, skol25( X, Y ), skol11( X, Y ) ) }.
% 0.75/1.11  { ! alpha31( Y, Z, T ), a_select3( X, Z, T ) = a_select3( X, T, Z ), 
% 0.75/1.11    alpha20( X, Y ) }.
% 0.75/1.11  { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 0.75/1.11  { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.11  { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.11  { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha31( X, Y, Z ) }.
% 0.75/1.11  { ! alpha28( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha28( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y ) }.
% 0.75/1.11  { ! alpha8( X ), alpha29( Y, skol12( X, Y ), skol26( X, Y ) ) }.
% 0.75/1.11  { ! alpha8( X ), ! a_select3( X, skol12( X, Y ), skol26( X, Y ) ) = 
% 0.75/1.11    a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 0.75/1.11  { ! alpha29( skol28( X ), Y, Z ), a_select3( X, Y, Z ) = a_select3( X, Z, Y
% 0.75/1.11     ), alpha8( X ) }.
% 0.75/1.11  { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 0.75/1.11  { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 0.75/1.11  { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 0.75/1.11  { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z, X ), alpha29( X, Y, Z ) }.
% 0.75/1.11  { ! alpha21( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! alpha21( X, Y ), leq( Y, X ) }.
% 0.75/1.11  { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y ) }.
% 0.75/1.11  { sum( n0, tptp_minus_1, X ) = n0 }.
% 0.75/1.11  { tptp_float_0_0 = sum( n0, tptp_minus_1, X ) }.
% 0.75/1.11  { succ( tptp_minus_1 ) = n0 }.
% 0.75/1.11  { plus( X, n1 ) = succ( X ) }.
% 0.75/1.11  { plus( n1, X ) = succ( X ) }.
% 0.75/1.11  { plus( X, n2 ) = succ( succ( X ) ) }.
% 0.75/1.11  { plus( n2, X ) = succ( succ( X ) ) }.
% 0.75/1.11  { plus( X, n3 ) = succ( succ( succ( X ) ) ) }.
% 0.75/1.11  { plus( n3, X ) = succ( succ( succ( X ) ) ) }.
% 0.75/1.11  { plus( X, n4 ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.75/1.11  { plus( n4, X ) = succ( succ( succ( succ( X ) ) ) ) }.
% 0.75/1.11  { plus( X, n5 ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.11  { plus( n5, X ) = succ( succ( succ( succ( succ( X ) ) ) ) ) }.
% 0.75/1.11  { minus( X, n1 ) = pred( X ) }.
% 0.75/1.11  { pred( succ( X ) ) = X }.
% 0.75/1.11  { succ( pred( X ) ) = X }.
% 0.75/1.11  { ! leq( succ( X ), succ( Y ) ), leq( X, Y ) }.
% 0.75/1.11  { ! leq( X, Y ), leq( succ( X ), succ( Y ) ) }.
% 0.75/1.11  { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 0.75/1.11  { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 0.75/1.11  { a_select3( tptp_update3( X, Y, Z, T ), Y, Z ) = T }.
% 0.75/1.11  { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W, a_select3( tptp_update3( U, X
% 0.75/1.11    , Y, V0 ), Z, T ) = W }.
% 0.75/1.11  { leq( skol27( V0, T, V1, V2 ), T ), ! leq( n0, X ), ! leq( X, Z ), ! leq( 
% 0.75/1.11    n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W
% 0.75/1.11     }.
% 0.75/1.11  { alpha22( Z, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ), ! leq( n0, X )
% 0.75/1.11    , ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( tptp_update3( 
% 0.75/1.11    U, Z, T, W ), X, Y ) = W }.
% 0.75/1.11  { ! a_select3( U, skol13( Z, T, U, W ), skol27( Z, T, U, W ) ) = W, ! leq( 
% 0.75/1.11    n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( 
% 0.75/1.11    tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 0.75/1.11  { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 0.75/1.11  { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 0.75/1.11  { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X, Y, Z ) }.
% 0.75/1.11  { ! alpha9( X, Y ), leq( n0, X ) }.
% 0.75/1.11  { ! alpha9( X, Y ), leq( n0, Y ) }.
% 0.75/1.11  { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y ) }.
% 0.75/1.11  { a_select2( tptp_update2( X, Y, Z ), Y ) = Z }.
% 0.75/1.11  { X = Y, ! a_select2( Z, Y ) = T, a_select2( tptp_update2( Z, X, U ), Y ) =
% 0.75/1.11     T }.
% 0.75/1.11  { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X ), ! leq( X, Y ), a_select2( 
% 0.75/1.11    tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.11  { leq( skol14( Y, U, W ), Y ), ! leq( n0, X ), ! leq( X, Y ), a_select2( 
% 0.75/1.11    tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.11  { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! leq( n0, X ), ! leq( X, Y ), 
% 0.75/1.11    a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 0.75/1.11  { true }.
% 0.75/1.11  { ! def = use }.
% 0.75/1.11  { leq( n0, pv31 ) }.
% 0.75/1.11  { leq( pv31, minus( n5, n1 ) ) }.
% 0.75/1.11  { ! leq( n0, pv31 ), ! leq( pv31, minus( n5, n1 ) ), alpha10, n0 = pv40 }.
% 0.75/1.11  { ! leq( n0, pv31 ), ! leq( pv31, minus( n5, n1 ) ), alpha10, ! true }.
% 0.75/1.11  { ! alpha10, ! n0 = pv40 }.
% 0.75/1.11  { ! alpha10, ! leq( n0, pv31 ), ! leq( pv31, minus( n5, n1 ) ) }.
% 0.75/1.11  { n0 = pv40, leq( n0, pv31 ), alpha10 }.
% 0.75/1.11  { n0 = pv40, leq( pv31, minus( n5, n1 ) ), alpha10 }.
% 0.75/1.11  { gt( n5, n4 ) }.
% 0.75/1.11  { gt( n4, tptp_minus_1 ) }.
% 0.75/1.11  { gt( n5, tptp_minus_1 ) }.
% 0.75/1.11  { gt( n0, tptp_minus_1 ) }.
% 0.75/1.11  { gt( n1, tptp_minus_1 ) }.
% 0.75/1.11  { gt( n2, tptp_minus_1 ) }.
% 0.75/1.11  { gt( n3, tptp_minus_1 ) }.
% 0.75/1.11  { gt( n4, n0 ) }.
% 0.75/1.11  { gt( n5, n0 ) }.
% 0.75/1.11  { gt( n1, n0 ) }.
% 0.75/1.11  { gt( n2, n0 ) }.
% 0.75/1.11  { gt( n3, n0 ) }.
% 0.75/1.11  { gt( n4, n1 ) }.
% 0.75/1.11  { gt( n5, n1 ) }.
% 0.75/1.11  { gt( n2, n1 ) }.
% 0.75/1.11  { gt( n3, n1 ) }.
% 0.75/1.11  { gt( n4, n2 ) }.
% 0.75/1.11  { gt( n5, n2 ) }.
% 0.75/1.11  { gt( n3, n2 ) }.
% 0.75/1.11  { gt( n4, n3 ) }.
% 0.75/1.11  { gt( n5, n3 ) }.
% 0.75/1.11  { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X = n1, X = n2, X = n3, X = n4 }
% 0.75/1.11    .
% 0.75/1.11  { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X = n1, X = n2, X = n3, X = n4, X
% 0.75/1.11     = n5 }.
% 0.75/1.11  { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 0.75/1.11  { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X = n1 }.
% 0.75/1.11  { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X = n1, X = n2 }.
% 0.75/1.11  { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X = n1, X = n2, X = n3 }.
% 0.75/1.11  { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 0.75/1.11  { succ( succ( succ( succ( succ( n0 ) ) ) ) ) = n5 }.
% 0.75/1.11  { succ( n0 ) = n1 }.
% 0.75/1.11  { succ( succ( n0 ) ) = n2 }.
% 0.75/1.11  { succ( succ( succ( n0 ) ) ) = n3 }.
% 0.75/1.11  
% 0.75/1.11  percentage equality = 0.181481, percentage horn = 0.861244
% 0.75/1.11  This is a problem with some equality
% 0.75/1.11  
% 0.75/1.11  
% 0.75/1.11  
% 0.75/1.11  Options Used:
% 0.75/1.11  
% 0.75/1.11  useres =            1
% 0.75/1.11  useparamod =        1
% 0.75/1.11  useeqrefl =         1
% 0.75/1.11  useeqfact =         1
% 0.75/1.11  usefactor =         1
% 0.75/1.11  usesimpsplitting =  0
% 0.75/1.11  usesimpdemod =      5
% 0.75/1.11  usesimpres =        3
% 0.75/1.11  
% 0.75/1.11  resimpinuse      =  1000
% 0.75/1.11  resimpclauses =     20000
% 0.75/1.11  substype =          eqrewr
% 0.75/1.11  backwardsubs =      1
% 0.75/1.11  selectoldest =      5
% 0.75/1.11  
% 0.75/1.11  litorderings [0] =  split
% 0.75/1.11  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.75/1.11  
% 0.75/1.11  termordering =      kbo
% 0.75/1.11  
% 0.75/1.11  litapriori =        0
% 0.75/1.11  termapriori =       1
% 0.75/1.11  litaposteriori =    0
% 0.75/1.11  termaposteriori =   0
% 0.75/1.11  demodaposteriori =  0
% 0.75/1.11  ordereqreflfact =   0
% 0.75/1.11  
% 0.75/1.11  litselect =         negord
% 0.75/1.11  
% 0.75/1.11  maxweight =         15
% 0.75/1.11  maxdepth =          30000
% 0.75/1.11  maxlength =         115
% 0.75/1.11  maxnrvars =         195
% 0.75/1.11  excuselevel =       1
% 0.75/1.11  increasemaxweight = 1
% 0.75/1.11  
% 0.75/1.11  maxselected =       10000000
% 0.75/1.11  maxnrclauses =      10000000
% 0.75/1.11  
% 0.75/1.11  showgenerated =    0
% 0.75/1.11  showkept =         0
% 0.75/1.11  showselected =     0
% 0.75/1.11  showdeleted =      0
% 0.75/1.11  showresimp =       1
% 0.75/1.11  showstatus =       2000
% 0.75/1.11  
% 0.75/1.11  prologoutput =     0
% 0.75/1.11  nrgoals =          5000000
% 0.75/1.11  totalproof =       1
% 0.75/1.11  
% 0.75/1.11  Symbols occurring in the translation:
% 0.75/1.11  
% 0.75/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.11  .  [1, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.75/1.11  !  [4, 1]      (w:0, o:47, a:1, s:1, b:0), 
% 0.75/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.11  gt  [37, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 0.75/1.11  leq  [39, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 0.75/1.11  lt  [40, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 0.75/1.11  geq  [41, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 0.75/1.11  pred  [42, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 0.75/1.11  succ  [43, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 0.75/1.11  n0  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.75/1.11  uniform_int_rnd  [46, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 0.75/1.11  dim  [51, 2]      (w:1, o:115, a:1, s:1, b:0), 
% 0.75/1.11  tptp_const_array1  [52, 2]      (w:1, o:110, a:1, s:1, b:0), 
% 0.75/1.11  a_select2  [53, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 0.75/1.11  tptp_const_array2  [59, 3]      (w:1, o:137, a:1, s:1, b:0), 
% 0.75/1.11  a_select3  [60, 3]      (w:1, o:138, a:1, s:1, b:0), 
% 0.75/1.11  trans  [63, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 1.64/2.01  inv  [64, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 1.64/2.01  tptp_update3  [67, 4]      (w:1, o:155, a:1, s:1, b:0), 
% 1.64/2.01  tptp_madd  [69, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 1.64/2.01  tptp_msub  [70, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 1.64/2.01  tptp_mmul  [71, 2]      (w:1, o:113, a:1, s:1, b:0), 
% 1.64/2.01  tptp_minus_1  [77, 0]      (w:1, o:32, a:1, s:1, b:0), 
% 1.64/2.01  sum  [78, 3]      (w:1, o:135, a:1, s:1, b:0), 
% 1.64/2.01  tptp_float_0_0  [79, 0]      (w:1, o:33, a:1, s:1, b:0), 
% 1.64/2.01  n1  [80, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 1.64/2.01  plus  [81, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 1.64/2.01  n2  [82, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 1.64/2.01  n3  [83, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 1.64/2.01  n4  [84, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 1.64/2.01  n5  [85, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 1.64/2.01  minus  [86, 2]      (w:1, o:118, a:1, s:1, b:0), 
% 1.64/2.01  tptp_update2  [91, 3]      (w:1, o:139, a:1, s:1, b:0), 
% 1.64/2.01  true  [92, 0]      (w:1, o:41, a:1, s:1, b:0), 
% 1.64/2.01  def  [93, 0]      (w:1, o:42, a:1, s:1, b:0), 
% 1.64/2.01  use  [94, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 1.64/2.01  pv31  [95, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 1.64/2.01  pv40  [96, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 1.64/2.01  alpha1  [97, 2]      (w:1, o:119, a:1, s:1, b:1), 
% 1.64/2.01  alpha2  [98, 2]      (w:1, o:124, a:1, s:1, b:1), 
% 1.64/2.01  alpha3  [99, 2]      (w:1, o:129, a:1, s:1, b:1), 
% 1.64/2.01  alpha4  [100, 2]      (w:1, o:130, a:1, s:1, b:1), 
% 1.64/2.01  alpha5  [101, 2]      (w:1, o:131, a:1, s:1, b:1), 
% 1.64/2.01  alpha6  [102, 2]      (w:1, o:132, a:1, s:1, b:1), 
% 1.64/2.01  alpha7  [103, 2]      (w:1, o:133, a:1, s:1, b:1), 
% 1.64/2.01  alpha8  [104, 1]      (w:1, o:57, a:1, s:1, b:1), 
% 1.64/2.01  alpha9  [105, 2]      (w:1, o:134, a:1, s:1, b:1), 
% 1.64/2.01  alpha10  [106, 0]      (w:1, o:46, a:1, s:1, b:1), 
% 1.64/2.01  alpha11  [107, 3]      (w:1, o:140, a:1, s:1, b:1), 
% 1.64/2.01  alpha12  [108, 3]      (w:1, o:141, a:1, s:1, b:1), 
% 1.64/2.01  alpha13  [109, 3]      (w:1, o:142, a:1, s:1, b:1), 
% 1.64/2.01  alpha14  [110, 2]      (w:1, o:120, a:1, s:1, b:1), 
% 1.64/2.01  alpha15  [111, 2]      (w:1, o:121, a:1, s:1, b:1), 
% 1.64/2.01  alpha16  [112, 2]      (w:1, o:122, a:1, s:1, b:1), 
% 1.64/2.01  alpha17  [113, 2]      (w:1, o:123, a:1, s:1, b:1), 
% 1.64/2.01  alpha18  [114, 3]      (w:1, o:143, a:1, s:1, b:1), 
% 1.64/2.01  alpha19  [115, 3]      (w:1, o:144, a:1, s:1, b:1), 
% 1.64/2.01  alpha20  [116, 2]      (w:1, o:125, a:1, s:1, b:1), 
% 1.64/2.01  alpha21  [117, 2]      (w:1, o:126, a:1, s:1, b:1), 
% 1.64/2.01  alpha22  [118, 3]      (w:1, o:145, a:1, s:1, b:1), 
% 1.64/2.01  alpha23  [119, 3]      (w:1, o:146, a:1, s:1, b:1), 
% 1.64/2.01  alpha24  [120, 3]      (w:1, o:147, a:1, s:1, b:1), 
% 1.64/2.01  alpha25  [121, 3]      (w:1, o:148, a:1, s:1, b:1), 
% 1.64/2.01  alpha26  [122, 3]      (w:1, o:149, a:1, s:1, b:1), 
% 1.64/2.01  alpha27  [123, 2]      (w:1, o:127, a:1, s:1, b:1), 
% 1.64/2.01  alpha28  [124, 2]      (w:1, o:128, a:1, s:1, b:1), 
% 1.64/2.01  alpha29  [125, 3]      (w:1, o:150, a:1, s:1, b:1), 
% 1.64/2.01  alpha30  [126, 3]      (w:1, o:151, a:1, s:1, b:1), 
% 1.64/2.01  alpha31  [127, 3]      (w:1, o:152, a:1, s:1, b:1), 
% 1.64/2.01  skol1  [128, 2]      (w:1, o:86, a:1, s:1, b:1), 
% 1.64/2.01  skol2  [129, 2]      (w:1, o:95, a:1, s:1, b:1), 
% 1.64/2.01  skol3  [130, 2]      (w:1, o:103, a:1, s:1, b:1), 
% 1.64/2.01  skol4  [131, 2]      (w:1, o:104, a:1, s:1, b:1), 
% 1.64/2.01  skol5  [132, 2]      (w:1, o:105, a:1, s:1, b:1), 
% 1.64/2.01  skol6  [133, 2]      (w:1, o:106, a:1, s:1, b:1), 
% 1.64/2.01  skol7  [134, 2]      (w:1, o:107, a:1, s:1, b:1), 
% 1.64/2.01  skol8  [135, 2]      (w:1, o:108, a:1, s:1, b:1), 
% 1.64/2.01  skol9  [136, 2]      (w:1, o:109, a:1, s:1, b:1), 
% 1.64/2.01  skol10  [137, 2]      (w:1, o:87, a:1, s:1, b:1), 
% 1.64/2.01  skol11  [138, 2]      (w:1, o:88, a:1, s:1, b:1), 
% 1.64/2.01  skol12  [139, 2]      (w:1, o:89, a:1, s:1, b:1), 
% 1.64/2.01  skol13  [140, 4]      (w:1, o:153, a:1, s:1, b:1), 
% 1.64/2.01  skol14  [141, 3]      (w:1, o:136, a:1, s:1, b:1), 
% 1.64/2.01  skol15  [142, 2]      (w:1, o:90, a:1, s:1, b:1), 
% 1.64/2.01  skol16  [143, 2]      (w:1, o:91, a:1, s:1, b:1), 
% 1.64/2.01  skol17  [144, 2]      (w:1, o:92, a:1, s:1, b:1), 
% 1.64/2.01  skol18  [145, 2]      (w:1, o:93, a:1, s:1, b:1), 
% 1.64/2.01  skol19  [146, 2]      (w:1, o:94, a:1, s:1, b:1), 
% 1.64/2.01  skol20  [147, 2]      (w:1, o:96, a:1, s:1, b:1), 
% 1.64/2.01  skol21  [148, 2]      (w:1, o:97, a:1, s:1, b:1), 
% 1.64/2.01  skol22  [149, 2]      (w:1, o:98, a:1, s:1, b:1), 
% 1.64/2.01  skol23  [150, 2]      (w:1, o:99, a:1, s:1, b:1), 
% 1.64/2.01  skol24  [151, 2]      (w:1, o:100, a:1, s:1, b:1), 
% 1.64/2.01  skol25  [152, 2]      (w:1, o:101, a:1, s:1, b:1), 
% 1.64/2.01  skol26  [153, 2]      (w:1, o:102, a:1, s:1, b:1), 
% 1.64/2.01  skol27  [154, 4]      (w:1, o:154, a:1, s:1, b:1), 
% 1.64/2.01  skol28  [155, 1]      (w:1, o:54, a:1, s:1, b:1).
% 1.64/2.01  
% 1.64/2.01  
% 1.64/2.01  Starting Search:
% 1.64/2.01  
% 1.64/2.01  *** allocated 15000 integers for clauses
% 1.64/2.01  *** allocated 22500 integers for clauses
% 1.64/2.01  *** allocated 15000 integers for termspace/termends
% 1.64/2.01  *** allocated 33750 integers for clauses
% 1.64/2.01  *** allocated 50625 integers for clauses
% 1.64/2.01  *** allocated 22500 integers for termspace/termends
% 1.64/2.01  *** allocated 75937 integers for clauses
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  *** allocated 33750 integers for termspace/termends
% 1.64/2.01  *** allocated 113905 integers for clauses
% 1.64/2.01  *** allocated 50625 integers for termspace/termends
% 1.64/2.01  
% 1.64/2.01  Intermediate Status:
% 1.64/2.01  Generated:    8001
% 1.64/2.01  Kept:         2016
% 1.64/2.01  Inuse:        185
% 1.64/2.01  Deleted:      0
% 1.64/2.01  Deletedinuse: 0
% 1.64/2.01  
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  *** allocated 170857 integers for clauses
% 1.64/2.01  *** allocated 75937 integers for termspace/termends
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  *** allocated 256285 integers for clauses
% 1.64/2.01  *** allocated 113905 integers for termspace/termends
% 1.64/2.01  
% 1.64/2.01  Intermediate Status:
% 1.64/2.01  Generated:    16204
% 1.64/2.01  Kept:         4106
% 1.64/2.01  Inuse:        326
% 1.64/2.01  Deleted:      0
% 1.64/2.01  Deletedinuse: 0
% 1.64/2.01  
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  *** allocated 170857 integers for termspace/termends
% 1.64/2.01  *** allocated 384427 integers for clauses
% 1.64/2.01  
% 1.64/2.01  Intermediate Status:
% 1.64/2.01  Generated:    23421
% 1.64/2.01  Kept:         6137
% 1.64/2.01  Inuse:        456
% 1.64/2.01  Deleted:      0
% 1.64/2.01  Deletedinuse: 0
% 1.64/2.01  
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  *** allocated 256285 integers for termspace/termends
% 1.64/2.01  
% 1.64/2.01  Intermediate Status:
% 1.64/2.01  Generated:    31341
% 1.64/2.01  Kept:         8143
% 1.64/2.01  Inuse:        546
% 1.64/2.01  Deleted:      0
% 1.64/2.01  Deletedinuse: 0
% 1.64/2.01  
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  *** allocated 576640 integers for clauses
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  
% 1.64/2.01  Intermediate Status:
% 1.64/2.01  Generated:    36226
% 1.64/2.01  Kept:         10184
% 1.64/2.01  Inuse:        656
% 1.64/2.01  Deleted:      0
% 1.64/2.01  Deletedinuse: 0
% 1.64/2.01  
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  *** allocated 384427 integers for termspace/termends
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  
% 1.64/2.01  Intermediate Status:
% 1.64/2.01  Generated:    44282
% 1.64/2.01  Kept:         12186
% 1.64/2.01  Inuse:        790
% 1.64/2.01  Deleted:      15
% 1.64/2.01  Deletedinuse: 14
% 1.64/2.01  
% 1.64/2.01  Resimplifying inuse:
% 1.64/2.01  Done
% 1.64/2.01  
% 1.64/2.01  *** allocated 864960 integers for clauses
% 1.64/2.01  
% 1.64/2.01  Bliksems!, er is een bewijs:
% 1.64/2.01  % SZS status Theorem
% 1.64/2.01  % SZS output start Refutation
% 1.64/2.01  
% 1.64/2.01  (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.64/2.01  (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 1.64/2.01  (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv31 ) }.
% 1.64/2.01  (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv31, pred( n5 ) ) }.
% 1.64/2.01  (174) {G1,W6,D3,L3,V0,M3} I;d(146);r(171) { alpha10, ! true, ! leq( pv31, 
% 1.64/2.01    pred( n5 ) ) }.
% 1.64/2.01  (176) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha10, ! leq( pv31, pred( 
% 1.64/2.01    n5 ) ) }.
% 1.64/2.01  (13385) {G2,W0,D0,L0,V0,M0} S(174);r(176);r(169);r(172) {  }.
% 1.64/2.01  
% 1.64/2.01  
% 1.64/2.01  % SZS output end Refutation
% 1.64/2.01  found a proof!
% 1.64/2.01  
% 1.64/2.01  
% 1.64/2.01  Unprocessed initial clauses:
% 1.64/2.01  
% 1.64/2.01  (13387) {G0,W9,D2,L3,V2,M3}  { gt( X, Y ), gt( Y, X ), X = Y }.
% 1.64/2.01  (13388) {G0,W9,D2,L3,V3,M3}  { ! gt( X, Z ), ! gt( Z, Y ), gt( X, Y ) }.
% 1.64/2.01  (13389) {G0,W3,D2,L1,V1,M1}  { ! gt( X, X ) }.
% 1.64/2.01  (13390) {G0,W3,D2,L1,V1,M1}  { leq( X, X ) }.
% 1.64/2.01  (13391) {G0,W9,D2,L3,V3,M3}  { ! leq( X, Z ), ! leq( Z, Y ), leq( X, Y )
% 1.64/2.01     }.
% 1.64/2.01  (13392) {G0,W6,D2,L2,V2,M2}  { ! lt( X, Y ), gt( Y, X ) }.
% 1.64/2.01  (13393) {G0,W6,D2,L2,V2,M2}  { ! gt( Y, X ), lt( X, Y ) }.
% 1.64/2.01  (13394) {G0,W6,D2,L2,V2,M2}  { ! geq( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13395) {G0,W6,D2,L2,V2,M2}  { ! leq( Y, X ), geq( X, Y ) }.
% 1.64/2.01  (13396) {G0,W6,D2,L2,V2,M2}  { ! gt( Y, X ), leq( X, Y ) }.
% 1.64/2.01  (13397) {G0,W9,D2,L3,V2,M3}  { ! leq( X, Y ), X = Y, gt( Y, X ) }.
% 1.64/2.01  (13398) {G0,W7,D3,L2,V2,M2}  { ! leq( X, pred( Y ) ), gt( Y, X ) }.
% 1.64/2.01  (13399) {G0,W7,D3,L2,V2,M2}  { ! gt( Y, X ), leq( X, pred( Y ) ) }.
% 1.64/2.01  (13400) {G0,W4,D3,L1,V1,M1}  { gt( succ( X ), X ) }.
% 1.64/2.01  (13401) {G0,W7,D3,L2,V2,M2}  { ! leq( X, Y ), leq( X, succ( Y ) ) }.
% 1.64/2.01  (13402) {G0,W7,D3,L2,V2,M2}  { ! leq( X, Y ), gt( succ( Y ), X ) }.
% 1.64/2.01  (13403) {G0,W7,D3,L2,V2,M2}  { ! gt( succ( Y ), X ), leq( X, Y ) }.
% 1.64/2.01  (13404) {G0,W8,D3,L2,V2,M2}  { ! leq( n0, X ), leq( uniform_int_rnd( Y, X )
% 1.64/2.01    , X ) }.
% 1.64/2.01  (13405) {G0,W8,D3,L2,V2,M2}  { ! leq( n0, X ), leq( n0, uniform_int_rnd( Y
% 1.64/2.01    , X ) ) }.
% 1.64/2.01  (13406) {G0,W15,D5,L3,V4,M3}  { ! leq( Y, X ), ! leq( X, Z ), a_select2( 
% 1.64/2.01    tptp_const_array1( dim( Y, Z ), T ), X ) = T }.
% 1.64/2.01  (13407) {G0,W25,D5,L5,V7,M5}  { ! leq( Y, X ), ! leq( X, Z ), ! leq( U, T )
% 1.64/2.01    , ! leq( T, W ), a_select3( tptp_const_array2( dim( Y, Z ), dim( U, W ), 
% 1.64/2.01    V0 ), X, T ) = V0 }.
% 1.64/2.01  (13408) {G0,W31,D4,L6,V4,M6}  { alpha11( Y, skol1( X, Y ), skol15( X, Y ) )
% 1.64/2.01    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.01    ( trans( X ), Z, T ) = a_select3( trans( X ), T, Z ) }.
% 1.64/2.01  (13409) {G0,W40,D4,L6,V4,M6}  { ! a_select3( X, skol1( X, Y ), skol15( X, Y
% 1.64/2.01     ) ) = a_select3( X, skol15( X, Y ), skol1( X, Y ) ), ! leq( n0, Z ), ! 
% 1.64/2.01    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( trans( X ), Z, T )
% 1.64/2.01     = a_select3( trans( X ), T, Z ) }.
% 1.64/2.01  (13410) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), alpha1( X, Y ) }.
% 1.64/2.01  (13411) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13412) {G0,W7,D2,L2,V3,M2}  { ! alpha11( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13413) {G0,W13,D2,L4,V3,M4}  { ! alpha1( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha11( X, Y, Z ) }.
% 1.64/2.01  (13414) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13415) {G0,W6,D2,L2,V2,M2}  { ! alpha1( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13416) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha1( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13417) {G0,W31,D4,L6,V4,M6}  { alpha12( Y, skol2( X, Y ), skol16( X, Y ) )
% 1.64/2.01    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.01    ( inv( X ), Z, T ) = a_select3( inv( X ), T, Z ) }.
% 1.64/2.01  (13418) {G0,W40,D4,L6,V4,M6}  { ! a_select3( X, skol2( X, Y ), skol16( X, Y
% 1.64/2.01     ) ) = a_select3( X, skol16( X, Y ), skol2( X, Y ) ), ! leq( n0, Z ), ! 
% 1.64/2.01    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( inv( X ), Z, T ) =
% 1.64/2.01     a_select3( inv( X ), T, Z ) }.
% 1.64/2.01  (13419) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), alpha2( X, Y ) }.
% 1.64/2.01  (13420) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13421) {G0,W7,D2,L2,V3,M2}  { ! alpha12( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13422) {G0,W13,D2,L4,V3,M4}  { ! alpha2( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha12( X, Y, Z ) }.
% 1.64/2.01  (13423) {G0,W6,D2,L2,V2,M2}  { ! alpha2( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13424) {G0,W6,D2,L2,V2,M2}  { ! alpha2( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13425) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha2( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13426) {G0,W43,D4,L8,V6,M8}  { alpha13( Y, skol3( X, Y ), skol17( X, Y ) )
% 1.64/2.01    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0
% 1.64/2.01    , U ), ! leq( U, Y ), a_select3( tptp_update3( X, U, U, W ), Z, T ) = 
% 1.64/2.01    a_select3( tptp_update3( X, U, U, W ), T, Z ) }.
% 1.64/2.01  (13427) {G0,W52,D4,L8,V6,M8}  { ! a_select3( X, skol3( X, Y ), skol17( X, Y
% 1.64/2.01     ) ) = a_select3( X, skol17( X, Y ), skol3( X, Y ) ), ! leq( n0, Z ), ! 
% 1.64/2.01    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), ! leq( n0, U ), ! leq( U, Y )
% 1.64/2.01    , a_select3( tptp_update3( X, U, U, W ), Z, T ) = a_select3( tptp_update3
% 1.64/2.01    ( X, U, U, W ), T, Z ) }.
% 1.64/2.01  (13428) {G0,W7,D2,L2,V3,M2}  { ! alpha13( X, Y, Z ), alpha3( X, Y ) }.
% 1.64/2.01  (13429) {G0,W7,D2,L2,V3,M2}  { ! alpha13( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13430) {G0,W7,D2,L2,V3,M2}  { ! alpha13( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13431) {G0,W13,D2,L4,V3,M4}  { ! alpha3( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha13( X, Y, Z ) }.
% 1.64/2.01  (13432) {G0,W6,D2,L2,V2,M2}  { ! alpha3( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13433) {G0,W6,D2,L2,V2,M2}  { ! alpha3( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13434) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha3( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13435) {G0,W36,D4,L7,V5,M7}  { alpha4( X, Z ), alpha23( Z, skol4( Y, Z ), 
% 1.64/2.01    skol18( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.64/2.01    , Z ), a_select3( tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y
% 1.64/2.01     ), U, T ) }.
% 1.64/2.01  (13436) {G0,W45,D4,L7,V5,M7}  { alpha4( X, Z ), ! a_select3( Y, skol4( Y, Z
% 1.64/2.01     ), skol18( Y, Z ) ) = a_select3( Y, skol18( Y, Z ), skol4( Y, Z ) ), ! 
% 1.64/2.01    leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( 
% 1.64/2.01    tptp_madd( X, Y ), T, U ) = a_select3( tptp_madd( X, Y ), U, T ) }.
% 1.64/2.01  (13437) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), alpha14( X, Y ) }.
% 1.64/2.01  (13438) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13439) {G0,W7,D2,L2,V3,M2}  { ! alpha23( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13440) {G0,W13,D2,L4,V3,M4}  { ! alpha14( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha23( X, Y, Z ) }.
% 1.64/2.01  (13441) {G0,W6,D2,L2,V2,M2}  { ! alpha14( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13442) {G0,W6,D2,L2,V2,M2}  { ! alpha14( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13443) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha14( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13444) {G0,W11,D3,L2,V2,M2}  { ! alpha4( X, Y ), alpha24( Y, skol5( X, Y )
% 1.64/2.01    , skol19( X, Y ) ) }.
% 1.64/2.01  (13445) {G0,W20,D4,L2,V2,M2}  { ! alpha4( X, Y ), ! a_select3( X, skol5( X
% 1.64/2.01    , Y ), skol19( X, Y ) ) = a_select3( X, skol19( X, Y ), skol5( X, Y ) )
% 1.64/2.01     }.
% 1.64/2.01  (13446) {G0,W16,D3,L3,V4,M3}  { ! alpha24( Y, Z, T ), a_select3( X, Z, T ) 
% 1.64/2.01    = a_select3( X, T, Z ), alpha4( X, Y ) }.
% 1.64/2.01  (13447) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), alpha15( X, Y ) }.
% 1.64/2.01  (13448) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13449) {G0,W7,D2,L2,V3,M2}  { ! alpha24( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13450) {G0,W13,D2,L4,V3,M4}  { ! alpha15( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha24( X, Y, Z ) }.
% 1.64/2.01  (13451) {G0,W6,D2,L2,V2,M2}  { ! alpha15( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13452) {G0,W6,D2,L2,V2,M2}  { ! alpha15( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13453) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha15( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13454) {G0,W36,D4,L7,V5,M7}  { alpha5( X, Z ), alpha25( Z, skol6( Y, Z ), 
% 1.64/2.01    skol20( Y, Z ) ), ! leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U
% 1.64/2.01    , Z ), a_select3( tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y
% 1.64/2.01     ), U, T ) }.
% 1.64/2.01  (13455) {G0,W45,D4,L7,V5,M7}  { alpha5( X, Z ), ! a_select3( Y, skol6( Y, Z
% 1.64/2.01     ), skol20( Y, Z ) ) = a_select3( Y, skol20( Y, Z ), skol6( Y, Z ) ), ! 
% 1.64/2.01    leq( n0, T ), ! leq( T, Z ), ! leq( n0, U ), ! leq( U, Z ), a_select3( 
% 1.64/2.01    tptp_msub( X, Y ), T, U ) = a_select3( tptp_msub( X, Y ), U, T ) }.
% 1.64/2.01  (13456) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), alpha16( X, Y ) }.
% 1.64/2.01  (13457) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13458) {G0,W7,D2,L2,V3,M2}  { ! alpha25( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13459) {G0,W13,D2,L4,V3,M4}  { ! alpha16( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha25( X, Y, Z ) }.
% 1.64/2.01  (13460) {G0,W6,D2,L2,V2,M2}  { ! alpha16( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13461) {G0,W6,D2,L2,V2,M2}  { ! alpha16( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13462) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha16( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13463) {G0,W11,D3,L2,V2,M2}  { ! alpha5( X, Y ), alpha26( Y, skol7( X, Y )
% 1.64/2.01    , skol21( X, Y ) ) }.
% 1.64/2.01  (13464) {G0,W20,D4,L2,V2,M2}  { ! alpha5( X, Y ), ! a_select3( X, skol7( X
% 1.64/2.01    , Y ), skol21( X, Y ) ) = a_select3( X, skol21( X, Y ), skol7( X, Y ) )
% 1.64/2.01     }.
% 1.64/2.01  (13465) {G0,W16,D3,L3,V4,M3}  { ! alpha26( Y, Z, T ), a_select3( X, Z, T ) 
% 1.64/2.01    = a_select3( X, T, Z ), alpha5( X, Y ) }.
% 1.64/2.01  (13466) {G0,W7,D2,L2,V3,M2}  { ! alpha26( X, Y, Z ), alpha17( X, Y ) }.
% 1.64/2.01  (13467) {G0,W7,D2,L2,V3,M2}  { ! alpha26( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13468) {G0,W7,D2,L2,V3,M2}  { ! alpha26( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13469) {G0,W13,D2,L4,V3,M4}  { ! alpha17( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha26( X, Y, Z ) }.
% 1.64/2.01  (13470) {G0,W6,D2,L2,V2,M2}  { ! alpha17( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13471) {G0,W6,D2,L2,V2,M2}  { ! alpha17( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13472) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha17( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13473) {G0,W39,D6,L6,V5,M6}  { alpha18( Y, skol8( X, Y ), skol22( X, Y ) )
% 1.64/2.01    , ! leq( n0, Z ), ! leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3
% 1.64/2.01    ( tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( 
% 1.64/2.01    tptp_mmul( U, tptp_mmul( X, trans( U ) ) ), T, Z ) }.
% 1.64/2.01  (13474) {G0,W48,D6,L6,V5,M6}  { ! a_select3( X, skol8( X, Y ), skol22( X, Y
% 1.64/2.01     ) ) = a_select3( X, skol22( X, Y ), skol8( X, Y ) ), ! leq( n0, Z ), ! 
% 1.64/2.01    leq( Z, Y ), ! leq( n0, T ), ! leq( T, Y ), a_select3( tptp_mmul( U, 
% 1.64/2.01    tptp_mmul( X, trans( U ) ) ), Z, T ) = a_select3( tptp_mmul( U, tptp_mmul
% 1.64/2.01    ( X, trans( U ) ) ), T, Z ) }.
% 1.64/2.01  (13475) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), alpha6( X, Y ) }.
% 1.64/2.01  (13476) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13477) {G0,W7,D2,L2,V3,M2}  { ! alpha18( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13478) {G0,W13,D2,L4,V3,M4}  { ! alpha6( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha18( X, Y, Z ) }.
% 1.64/2.01  (13479) {G0,W6,D2,L2,V2,M2}  { ! alpha6( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13480) {G0,W6,D2,L2,V2,M2}  { ! alpha6( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13481) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha6( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13482) {G0,W39,D6,L6,V6,M6}  { alpha19( Y, skol9( X, Y ), skol23( X, Y ) )
% 1.64/2.01    , ! leq( n0, Z ), ! leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3
% 1.64/2.01    ( tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( 
% 1.64/2.01    tptp_mmul( W, tptp_mmul( X, trans( W ) ) ), T, Z ) }.
% 1.64/2.01  (13483) {G0,W48,D6,L6,V6,M6}  { ! a_select3( X, skol9( X, Y ), skol23( X, Y
% 1.64/2.01     ) ) = a_select3( X, skol23( X, Y ), skol9( X, Y ) ), ! leq( n0, Z ), ! 
% 1.64/2.01    leq( Z, U ), ! leq( n0, T ), ! leq( T, U ), a_select3( tptp_mmul( W, 
% 1.64/2.01    tptp_mmul( X, trans( W ) ) ), Z, T ) = a_select3( tptp_mmul( W, tptp_mmul
% 1.64/2.01    ( X, trans( W ) ) ), T, Z ) }.
% 1.64/2.01  (13484) {G0,W7,D2,L2,V3,M2}  { ! alpha19( X, Y, Z ), alpha7( X, Y ) }.
% 1.64/2.01  (13485) {G0,W7,D2,L2,V3,M2}  { ! alpha19( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13486) {G0,W7,D2,L2,V3,M2}  { ! alpha19( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13487) {G0,W13,D2,L4,V3,M4}  { ! alpha7( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha19( X, Y, Z ) }.
% 1.64/2.01  (13488) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13489) {G0,W6,D2,L2,V2,M2}  { ! alpha7( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13490) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha7( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13491) {G0,W72,D10,L8,V9,M8}  { alpha8( Y ), alpha20( X, T ), alpha30( T, 
% 1.64/2.01    skol10( Z, T ), skol24( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( 
% 1.64/2.01    n0, W ), ! leq( W, T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul
% 1.64/2.01    ( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2
% 1.64/2.01    , tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3
% 1.64/2.01    ( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, 
% 1.64/2.01    tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) )
% 1.64/2.01     ) ), trans( V0 ) ) ) ), W, U ) }.
% 1.64/2.01  (13492) {G0,W81,D10,L8,V9,M8}  { alpha8( Y ), alpha20( X, T ), ! a_select3
% 1.64/2.01    ( Z, skol10( Z, T ), skol24( Z, T ) ) = a_select3( Z, skol24( Z, T ), 
% 1.64/2.01    skol10( Z, T ) ), ! leq( n0, U ), ! leq( U, T ), ! leq( n0, W ), ! leq( W
% 1.64/2.01    , T ), a_select3( tptp_madd( X, tptp_mmul( V0, tptp_mmul( tptp_madd( 
% 1.64/2.01    tptp_mmul( V1, tptp_mmul( Y, trans( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z
% 1.64/2.01    , trans( V2 ) ) ) ), trans( V0 ) ) ) ), U, W ) = a_select3( tptp_madd( X
% 1.64/2.01    , tptp_mmul( V0, tptp_mmul( tptp_madd( tptp_mmul( V1, tptp_mmul( Y, trans
% 1.64/2.01    ( V1 ) ) ), tptp_mmul( V2, tptp_mmul( Z, trans( V2 ) ) ) ), trans( V0 ) )
% 1.64/2.01     ) ), W, U ) }.
% 1.64/2.01  (13493) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), alpha27( X, Y ) }.
% 1.64/2.01  (13494) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13495) {G0,W7,D2,L2,V3,M2}  { ! alpha30( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13496) {G0,W13,D2,L4,V3,M4}  { ! alpha27( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha30( X, Y, Z ) }.
% 1.64/2.01  (13497) {G0,W6,D2,L2,V2,M2}  { ! alpha27( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13498) {G0,W6,D2,L2,V2,M2}  { ! alpha27( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13499) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha27( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13500) {G0,W11,D3,L2,V2,M2}  { ! alpha20( X, Y ), alpha31( Y, skol11( X, Y
% 1.64/2.01     ), skol25( X, Y ) ) }.
% 1.64/2.01  (13501) {G0,W20,D4,L2,V2,M2}  { ! alpha20( X, Y ), ! a_select3( X, skol11( 
% 1.64/2.01    X, Y ), skol25( X, Y ) ) = a_select3( X, skol25( X, Y ), skol11( X, Y ) )
% 1.64/2.01     }.
% 1.64/2.01  (13502) {G0,W16,D3,L3,V4,M3}  { ! alpha31( Y, Z, T ), a_select3( X, Z, T ) 
% 1.64/2.01    = a_select3( X, T, Z ), alpha20( X, Y ) }.
% 1.64/2.01  (13503) {G0,W7,D2,L2,V3,M2}  { ! alpha31( X, Y, Z ), alpha28( X, Y ) }.
% 1.64/2.01  (13504) {G0,W7,D2,L2,V3,M2}  { ! alpha31( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13505) {G0,W7,D2,L2,V3,M2}  { ! alpha31( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13506) {G0,W13,D2,L4,V3,M4}  { ! alpha28( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha31( X, Y, Z ) }.
% 1.64/2.01  (13507) {G0,W6,D2,L2,V2,M2}  { ! alpha28( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13508) {G0,W6,D2,L2,V2,M2}  { ! alpha28( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13509) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha28( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13510) {G0,W10,D3,L2,V2,M2}  { ! alpha8( X ), alpha29( Y, skol12( X, Y ), 
% 1.64/2.01    skol26( X, Y ) ) }.
% 1.64/2.01  (13511) {G0,W19,D4,L2,V2,M2}  { ! alpha8( X ), ! a_select3( X, skol12( X, Y
% 1.64/2.01     ), skol26( X, Y ) ) = a_select3( X, skol26( X, Y ), skol12( X, Y ) ) }.
% 1.64/2.01  (13512) {G0,W16,D3,L3,V3,M3}  { ! alpha29( skol28( X ), Y, Z ), a_select3( 
% 1.64/2.01    X, Y, Z ) = a_select3( X, Z, Y ), alpha8( X ) }.
% 1.64/2.01  (13513) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), alpha21( X, Y ) }.
% 1.64/2.01  (13514) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), leq( n0, Z ) }.
% 1.64/2.01  (13515) {G0,W7,D2,L2,V3,M2}  { ! alpha29( X, Y, Z ), leq( Z, X ) }.
% 1.64/2.01  (13516) {G0,W13,D2,L4,V3,M4}  { ! alpha21( X, Y ), ! leq( n0, Z ), ! leq( Z
% 1.64/2.01    , X ), alpha29( X, Y, Z ) }.
% 1.64/2.01  (13517) {G0,W6,D2,L2,V2,M2}  { ! alpha21( X, Y ), leq( n0, Y ) }.
% 1.64/2.01  (13518) {G0,W6,D2,L2,V2,M2}  { ! alpha21( X, Y ), leq( Y, X ) }.
% 1.64/2.01  (13519) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, Y ), ! leq( Y, X ), alpha21( X, Y
% 1.64/2.01     ) }.
% 1.64/2.01  (13520) {G0,W6,D3,L1,V1,M1}  { sum( n0, tptp_minus_1, X ) = n0 }.
% 1.64/2.01  (13521) {G0,W6,D3,L1,V1,M1}  { tptp_float_0_0 = sum( n0, tptp_minus_1, X )
% 1.64/2.01     }.
% 1.64/2.01  (13522) {G0,W4,D3,L1,V0,M1}  { succ( tptp_minus_1 ) = n0 }.
% 1.64/2.01  (13523) {G0,W6,D3,L1,V1,M1}  { plus( X, n1 ) = succ( X ) }.
% 1.64/2.01  (13524) {G0,W6,D3,L1,V1,M1}  { plus( n1, X ) = succ( X ) }.
% 1.64/2.01  (13525) {G0,W7,D4,L1,V1,M1}  { plus( X, n2 ) = succ( succ( X ) ) }.
% 1.64/2.01  (13526) {G0,W7,D4,L1,V1,M1}  { plus( n2, X ) = succ( succ( X ) ) }.
% 1.64/2.01  (13527) {G0,W8,D5,L1,V1,M1}  { plus( X, n3 ) = succ( succ( succ( X ) ) )
% 1.64/2.01     }.
% 1.64/2.01  (13528) {G0,W8,D5,L1,V1,M1}  { plus( n3, X ) = succ( succ( succ( X ) ) )
% 1.64/2.01     }.
% 1.64/2.01  (13529) {G0,W9,D6,L1,V1,M1}  { plus( X, n4 ) = succ( succ( succ( succ( X )
% 1.64/2.01     ) ) ) }.
% 1.64/2.01  (13530) {G0,W9,D6,L1,V1,M1}  { plus( n4, X ) = succ( succ( succ( succ( X )
% 1.64/2.01     ) ) ) }.
% 1.64/2.01  (13531) {G0,W10,D7,L1,V1,M1}  { plus( X, n5 ) = succ( succ( succ( succ( 
% 1.64/2.01    succ( X ) ) ) ) ) }.
% 1.64/2.01  (13532) {G0,W10,D7,L1,V1,M1}  { plus( n5, X ) = succ( succ( succ( succ( 
% 1.64/2.01    succ( X ) ) ) ) ) }.
% 1.64/2.01  (13533) {G0,W6,D3,L1,V1,M1}  { minus( X, n1 ) = pred( X ) }.
% 1.64/2.01  (13534) {G0,W5,D4,L1,V1,M1}  { pred( succ( X ) ) = X }.
% 1.64/2.01  (13535) {G0,W5,D4,L1,V1,M1}  { succ( pred( X ) ) = X }.
% 1.64/2.01  (13536) {G0,W8,D3,L2,V2,M2}  { ! leq( succ( X ), succ( Y ) ), leq( X, Y )
% 1.64/2.01     }.
% 1.64/2.01  (13537) {G0,W8,D3,L2,V2,M2}  { ! leq( X, Y ), leq( succ( X ), succ( Y ) )
% 1.64/2.01     }.
% 1.64/2.01  (13538) {G0,W7,D3,L2,V2,M2}  { ! leq( succ( X ), Y ), gt( Y, X ) }.
% 1.64/2.01  (13539) {G0,W8,D3,L2,V2,M2}  { ! leq( minus( Y, X ), Y ), leq( n0, X ) }.
% 1.64/2.01  (13540) {G0,W10,D4,L1,V4,M1}  { a_select3( tptp_update3( X, Y, Z, T ), Y, Z
% 1.64/2.01     ) = T }.
% 1.64/2.01  (13541) {G0,W22,D4,L4,V7,M4}  { X = Z, ! Y = T, ! a_select3( U, Z, T ) = W
% 1.64/2.01    , a_select3( tptp_update3( U, X, Y, V0 ), Z, T ) = W }.
% 1.64/2.01  (13542) {G0,W29,D4,L6,V9,M6}  { leq( skol27( V0, T, V1, V2 ), T ), ! leq( 
% 1.64/2.01    n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T ), a_select3( 
% 1.64/2.01    tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.01  (13543) {G0,W34,D4,L6,V6,M6}  { alpha22( Z, skol13( Z, T, U, W ), skol27( Z
% 1.64/2.01    , T, U, W ) ), ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y ), ! leq( Y, T
% 1.64/2.01     ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.01  (13544) {G0,W36,D4,L6,V6,M6}  { ! a_select3( U, skol13( Z, T, U, W ), 
% 1.64/2.01    skol27( Z, T, U, W ) ) = W, ! leq( n0, X ), ! leq( X, Z ), ! leq( n0, Y )
% 1.64/2.01    , ! leq( Y, T ), a_select3( tptp_update3( U, Z, T, W ), X, Y ) = W }.
% 1.64/2.01  (13545) {G0,W7,D2,L2,V3,M2}  { ! alpha22( X, Y, Z ), alpha9( Y, Z ) }.
% 1.64/2.01  (13546) {G0,W7,D2,L2,V3,M2}  { ! alpha22( X, Y, Z ), leq( Y, X ) }.
% 1.64/2.01  (13547) {G0,W10,D2,L3,V3,M3}  { ! alpha9( Y, Z ), ! leq( Y, X ), alpha22( X
% 1.64/2.02    , Y, Z ) }.
% 1.64/2.02  (13548) {G0,W6,D2,L2,V2,M2}  { ! alpha9( X, Y ), leq( n0, X ) }.
% 1.64/2.02  (13549) {G0,W6,D2,L2,V2,M2}  { ! alpha9( X, Y ), leq( n0, Y ) }.
% 1.64/2.02  (13550) {G0,W9,D2,L3,V2,M3}  { ! leq( n0, X ), ! leq( n0, Y ), alpha9( X, Y
% 1.64/2.02     ) }.
% 1.64/2.02  (13551) {G0,W8,D4,L1,V3,M1}  { a_select2( tptp_update2( X, Y, Z ), Y ) = Z
% 1.64/2.02     }.
% 1.64/2.02  (13552) {G0,W16,D4,L3,V5,M3}  { X = Y, ! a_select2( Z, Y ) = T, a_select2( 
% 1.64/2.02    tptp_update2( Z, X, U ), Y ) = T }.
% 1.64/2.02  (13553) {G0,W20,D4,L4,V7,M4}  { leq( n0, skol14( U, W, V0 ) ), ! leq( n0, X
% 1.64/2.02     ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.64/2.02  (13554) {G0,W20,D4,L4,V6,M4}  { leq( skol14( Y, U, W ), Y ), ! leq( n0, X )
% 1.64/2.02    , ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T }.
% 1.64/2.02  (13555) {G0,W22,D4,L4,V4,M4}  { ! a_select2( Z, skol14( Y, Z, T ) ) = T, ! 
% 1.64/2.02    leq( n0, X ), ! leq( X, Y ), a_select2( tptp_update2( Z, Y, T ), X ) = T
% 1.64/2.02     }.
% 1.64/2.02  (13556) {G0,W1,D1,L1,V0,M1}  { true }.
% 1.64/2.02  (13557) {G0,W3,D2,L1,V0,M1}  { ! def = use }.
% 1.64/2.02  (13558) {G0,W3,D2,L1,V0,M1}  { leq( n0, pv31 ) }.
% 1.64/2.03  (13559) {G0,W5,D3,L1,V0,M1}  { leq( pv31, minus( n5, n1 ) ) }.
% 1.64/2.03  (13560) {G0,W12,D3,L4,V0,M4}  { ! leq( n0, pv31 ), ! leq( pv31, minus( n5, 
% 1.64/2.03    n1 ) ), alpha10, n0 = pv40 }.
% 1.64/2.03  (13561) {G0,W10,D3,L4,V0,M4}  { ! leq( n0, pv31 ), ! leq( pv31, minus( n5, 
% 1.64/2.03    n1 ) ), alpha10, ! true }.
% 1.64/2.03  (13562) {G0,W4,D2,L2,V0,M2}  { ! alpha10, ! n0 = pv40 }.
% 1.64/2.03  (13563) {G0,W9,D3,L3,V0,M3}  { ! alpha10, ! leq( n0, pv31 ), ! leq( pv31, 
% 1.64/2.03    minus( n5, n1 ) ) }.
% 1.64/2.03  (13564) {G0,W7,D2,L3,V0,M3}  { n0 = pv40, leq( n0, pv31 ), alpha10 }.
% 1.64/2.03  (13565) {G0,W9,D3,L3,V0,M3}  { n0 = pv40, leq( pv31, minus( n5, n1 ) ), 
% 1.64/2.03    alpha10 }.
% 1.64/2.03  (13566) {G0,W3,D2,L1,V0,M1}  { gt( n5, n4 ) }.
% 1.64/2.03  (13567) {G0,W3,D2,L1,V0,M1}  { gt( n4, tptp_minus_1 ) }.
% 1.64/2.03  (13568) {G0,W3,D2,L1,V0,M1}  { gt( n5, tptp_minus_1 ) }.
% 1.64/2.03  (13569) {G0,W3,D2,L1,V0,M1}  { gt( n0, tptp_minus_1 ) }.
% 1.64/2.03  (13570) {G0,W3,D2,L1,V0,M1}  { gt( n1, tptp_minus_1 ) }.
% 1.64/2.03  (13571) {G0,W3,D2,L1,V0,M1}  { gt( n2, tptp_minus_1 ) }.
% 1.64/2.03  (13572) {G0,W3,D2,L1,V0,M1}  { gt( n3, tptp_minus_1 ) }.
% 1.64/2.03  (13573) {G0,W3,D2,L1,V0,M1}  { gt( n4, n0 ) }.
% 1.64/2.03  (13574) {G0,W3,D2,L1,V0,M1}  { gt( n5, n0 ) }.
% 1.64/2.03  (13575) {G0,W3,D2,L1,V0,M1}  { gt( n1, n0 ) }.
% 1.64/2.03  (13576) {G0,W3,D2,L1,V0,M1}  { gt( n2, n0 ) }.
% 1.64/2.03  (13577) {G0,W3,D2,L1,V0,M1}  { gt( n3, n0 ) }.
% 1.64/2.03  (13578) {G0,W3,D2,L1,V0,M1}  { gt( n4, n1 ) }.
% 1.64/2.03  (13579) {G0,W3,D2,L1,V0,M1}  { gt( n5, n1 ) }.
% 1.64/2.03  (13580) {G0,W3,D2,L1,V0,M1}  { gt( n2, n1 ) }.
% 1.64/2.03  (13581) {G0,W3,D2,L1,V0,M1}  { gt( n3, n1 ) }.
% 1.64/2.03  (13582) {G0,W3,D2,L1,V0,M1}  { gt( n4, n2 ) }.
% 1.64/2.03  (13583) {G0,W3,D2,L1,V0,M1}  { gt( n5, n2 ) }.
% 1.64/2.03  (13584) {G0,W3,D2,L1,V0,M1}  { gt( n3, n2 ) }.
% 1.64/2.03  (13585) {G0,W3,D2,L1,V0,M1}  { gt( n4, n3 ) }.
% 1.64/2.03  (13586) {G0,W3,D2,L1,V0,M1}  { gt( n5, n3 ) }.
% 1.64/2.03  (13587) {G0,W21,D2,L7,V1,M7}  { ! leq( n0, X ), ! leq( X, n4 ), X = n0, X =
% 1.64/2.03     n1, X = n2, X = n3, X = n4 }.
% 1.64/2.03  (13588) {G0,W24,D2,L8,V1,M8}  { ! leq( n0, X ), ! leq( X, n5 ), X = n0, X =
% 1.64/2.03     n1, X = n2, X = n3, X = n4, X = n5 }.
% 1.64/2.03  (13589) {G0,W9,D2,L3,V1,M3}  { ! leq( n0, X ), ! leq( X, n0 ), X = n0 }.
% 1.64/2.03  (13590) {G0,W12,D2,L4,V1,M4}  { ! leq( n0, X ), ! leq( X, n1 ), X = n0, X =
% 1.64/2.03     n1 }.
% 1.64/2.03  (13591) {G0,W15,D2,L5,V1,M5}  { ! leq( n0, X ), ! leq( X, n2 ), X = n0, X =
% 1.64/2.03     n1, X = n2 }.
% 1.64/2.03  (13592) {G0,W18,D2,L6,V1,M6}  { ! leq( n0, X ), ! leq( X, n3 ), X = n0, X =
% 1.64/2.03     n1, X = n2, X = n3 }.
% 1.64/2.03  (13593) {G0,W7,D6,L1,V0,M1}  { succ( succ( succ( succ( n0 ) ) ) ) = n4 }.
% 1.64/2.03  (13594) {G0,W8,D7,L1,V0,M1}  { succ( succ( succ( succ( succ( n0 ) ) ) ) ) =
% 1.64/2.03     n5 }.
% 1.64/2.03  (13595) {G0,W4,D3,L1,V0,M1}  { succ( n0 ) = n1 }.
% 1.64/2.03  (13596) {G0,W5,D4,L1,V0,M1}  { succ( succ( n0 ) ) = n2 }.
% 1.64/2.03  (13597) {G0,W6,D5,L1,V0,M1}  { succ( succ( succ( n0 ) ) ) = n3 }.
% 1.64/2.03  
% 1.64/2.03  
% 1.64/2.03  Total Proof:
% 1.64/2.03  
% 1.64/2.03  subsumption: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.64/2.03  parent0: (13533) {G0,W6,D3,L1,V1,M1}  { minus( X, n1 ) = pred( X ) }.
% 1.64/2.03  substitution0:
% 1.64/2.03     X := X
% 1.64/2.03  end
% 1.64/2.03  permutation0:
% 1.64/2.03     0 ==> 0
% 1.64/2.03  end
% 1.64/2.03  
% 1.64/2.03  subsumption: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 1.64/2.03  parent0: (13556) {G0,W1,D1,L1,V0,M1}  { true }.
% 1.64/2.03  substitution0:
% 1.64/2.03  end
% 1.64/2.03  permutation0:
% 1.64/2.03     0 ==> 0
% 1.64/2.03  end
% 1.64/2.03  
% 1.64/2.03  *** allocated 576640 integers for termspace/termends
% 1.64/2.03  subsumption: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv31 ) }.
% 1.64/2.03  parent0: (13558) {G0,W3,D2,L1,V0,M1}  { leq( n0, pv31 ) }.
% 1.64/2.03  substitution0:
% 1.64/2.03  end
% 1.64/2.03  permutation0:
% 1.64/2.03     0 ==> 0
% 1.64/2.03  end
% 1.64/2.03  
% 1.64/2.03  paramod: (15746) {G1,W4,D3,L1,V0,M1}  { leq( pv31, pred( n5 ) ) }.
% 1.64/2.03  parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.64/2.03  parent1[0; 2]: (13559) {G0,W5,D3,L1,V0,M1}  { leq( pv31, minus( n5, n1 ) )
% 1.64/2.03     }.
% 1.64/2.03  substitution0:
% 1.64/2.03     X := n5
% 1.64/2.03  end
% 1.64/2.03  substitution1:
% 1.64/2.03  end
% 1.64/2.03  
% 1.64/2.03  subsumption: (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv31, pred( n5 ) )
% 1.64/2.03     }.
% 1.64/2.03  parent0: (15746) {G1,W4,D3,L1,V0,M1}  { leq( pv31, pred( n5 ) ) }.
% 1.64/2.03  substitution0:
% 1.64/2.03  end
% 1.64/2.03  permutation0:
% 1.64/2.03     0 ==> 0
% 1.64/2.03  end
% 1.64/2.03  
% 1.64/2.03  paramod: (16459) {G1,W9,D3,L4,V0,M4}  { ! leq( pv31, pred( n5 ) ), ! leq( 
% 1.64/2.03    n0, pv31 ), alpha10, ! true }.
% 1.64/2.03  parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.64/2.03  parent1[1; 3]: (13561) {G0,W10,D3,L4,V0,M4}  { ! leq( n0, pv31 ), ! leq( 
% 1.64/2.03    pv31, minus( n5, n1 ) ), alpha10, ! true }.
% 1.64/2.03  substitution0:
% 1.64/2.03     X := n5
% 1.64/2.03  end
% 1.64/2.03  substitution1:
% 1.64/2.03  end
% 1.64/2.03  
% 1.64/2.03  resolution: (16460) {G1,W6,D3,L3,V0,M3}  { ! leq( pv31, pred( n5 ) ), 
% 1.64/2.03    alpha10, ! true }.
% 1.64/2.03  parent0[1]: (16459) {G1,W9,D3,L4,V0,M4}  { ! leq( pv31, pred( n5 ) ), ! leq
% 1.64/2.04    ( n0, pv31 ), alpha10, ! true }.
% 1.64/2.04  parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv31 ) }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  substitution1:
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  subsumption: (174) {G1,W6,D3,L3,V0,M3} I;d(146);r(171) { alpha10, ! true, !
% 1.64/2.04     leq( pv31, pred( n5 ) ) }.
% 1.64/2.04  parent0: (16460) {G1,W6,D3,L3,V0,M3}  { ! leq( pv31, pred( n5 ) ), alpha10
% 1.64/2.04    , ! true }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  permutation0:
% 1.64/2.04     0 ==> 2
% 1.64/2.04     1 ==> 0
% 1.64/2.04     2 ==> 1
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  paramod: (17178) {G1,W8,D3,L3,V0,M3}  { ! leq( pv31, pred( n5 ) ), ! 
% 1.64/2.04    alpha10, ! leq( n0, pv31 ) }.
% 1.64/2.04  parent0[0]: (146) {G0,W6,D3,L1,V1,M1} I { minus( X, n1 ) ==> pred( X ) }.
% 1.64/2.04  parent1[2; 3]: (13563) {G0,W9,D3,L3,V0,M3}  { ! alpha10, ! leq( n0, pv31 )
% 1.64/2.04    , ! leq( pv31, minus( n5, n1 ) ) }.
% 1.64/2.04  substitution0:
% 1.64/2.04     X := n5
% 1.64/2.04  end
% 1.64/2.04  substitution1:
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  resolution: (17179) {G1,W5,D3,L2,V0,M2}  { ! leq( pv31, pred( n5 ) ), ! 
% 1.64/2.04    alpha10 }.
% 1.64/2.04  parent0[2]: (17178) {G1,W8,D3,L3,V0,M3}  { ! leq( pv31, pred( n5 ) ), ! 
% 1.64/2.04    alpha10, ! leq( n0, pv31 ) }.
% 1.64/2.04  parent1[0]: (171) {G0,W3,D2,L1,V0,M1} I { leq( n0, pv31 ) }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  substitution1:
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  subsumption: (176) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha10, ! leq( 
% 1.64/2.04    pv31, pred( n5 ) ) }.
% 1.64/2.04  parent0: (17179) {G1,W5,D3,L2,V0,M2}  { ! leq( pv31, pred( n5 ) ), ! 
% 1.64/2.04    alpha10 }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  permutation0:
% 1.64/2.04     0 ==> 1
% 1.64/2.04     1 ==> 0
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  resolution: (17180) {G2,W9,D3,L3,V0,M3}  { ! leq( pv31, pred( n5 ) ), ! 
% 1.64/2.04    true, ! leq( pv31, pred( n5 ) ) }.
% 1.64/2.04  parent0[0]: (176) {G1,W5,D3,L2,V0,M2} I;d(146);r(171) { ! alpha10, ! leq( 
% 1.64/2.04    pv31, pred( n5 ) ) }.
% 1.64/2.04  parent1[0]: (174) {G1,W6,D3,L3,V0,M3} I;d(146);r(171) { alpha10, ! true, ! 
% 1.64/2.04    leq( pv31, pred( n5 ) ) }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  substitution1:
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  factor: (17181) {G2,W5,D3,L2,V0,M2}  { ! leq( pv31, pred( n5 ) ), ! true
% 1.64/2.04     }.
% 1.64/2.04  parent0[0, 2]: (17180) {G2,W9,D3,L3,V0,M3}  { ! leq( pv31, pred( n5 ) ), ! 
% 1.64/2.04    true, ! leq( pv31, pred( n5 ) ) }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  resolution: (17182) {G1,W4,D3,L1,V0,M1}  { ! leq( pv31, pred( n5 ) ) }.
% 1.64/2.04  parent0[1]: (17181) {G2,W5,D3,L2,V0,M2}  { ! leq( pv31, pred( n5 ) ), ! 
% 1.64/2.04    true }.
% 1.64/2.04  parent1[0]: (169) {G0,W1,D1,L1,V0,M1} I { true }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  substitution1:
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  resolution: (17183) {G2,W0,D0,L0,V0,M0}  {  }.
% 1.64/2.04  parent0[0]: (17182) {G1,W4,D3,L1,V0,M1}  { ! leq( pv31, pred( n5 ) ) }.
% 1.64/2.04  parent1[0]: (172) {G1,W4,D3,L1,V0,M1} I;d(146) { leq( pv31, pred( n5 ) )
% 1.64/2.04     }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  substitution1:
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  subsumption: (13385) {G2,W0,D0,L0,V0,M0} S(174);r(176);r(169);r(172) {  }.
% 1.64/2.04  parent0: (17183) {G2,W0,D0,L0,V0,M0}  {  }.
% 1.64/2.04  substitution0:
% 1.64/2.04  end
% 1.64/2.04  permutation0:
% 1.64/2.04  end
% 1.64/2.04  
% 1.64/2.04  Proof check complete!
% 1.64/2.04  
% 1.64/2.04  Memory use:
% 1.64/2.04  
% 1.64/2.04  space for terms:        329397
% 1.64/2.04  space for clauses:      595886
% 1.64/2.04  
% 1.64/2.04  
% 1.64/2.04  clauses generated:      47325
% 1.64/2.04  clauses kept:           13386
% 1.64/2.04  clauses selected:       842
% 1.64/2.04  clauses deleted:        18
% 1.64/2.04  clauses inuse deleted:  14
% 1.64/2.04  
% 1.64/2.04  subsentry:          169200
% 1.64/2.04  literals s-matched: 69803
% 1.64/2.04  literals matched:   57295
% 1.64/2.04  full subsumption:   39113
% 1.64/2.04  
% 1.64/2.04  checksum:           -874727189
% 1.64/2.04  
% 1.64/2.04  
% 1.64/2.04  Bliksem ended
%------------------------------------------------------------------------------