TSTP Solution File: NUM926+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM926+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 : Mon Jul 18 06:27:45 EDT 2022
% Result : Timeout 300.02s 300.39s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM926+2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jul 5 10:11:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.84/1.30 *** allocated 10000 integers for termspace/termends
% 0.84/1.30 *** allocated 10000 integers for clauses
% 0.84/1.30 *** allocated 10000 integers for justifications
% 0.84/1.30 *** allocated 15000 integers for termspace/termends
% 0.84/1.30 Bliksem 1.12
% 0.84/1.30
% 0.84/1.30
% 0.84/1.30 Automatic Strategy Selection
% 0.84/1.30
% 0.84/1.30 *** allocated 22500 integers for termspace/termends
% 0.84/1.30 *** allocated 33750 integers for termspace/termends
% 0.84/1.30 *** allocated 50625 integers for termspace/termends
% 0.84/1.30
% 0.84/1.30 Clauses:
% 0.84/1.30
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), is_int( minus_minus_int( X, Y ) ) }.
% 0.84/1.30 { is_int( one_one_int ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), is_int( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), is_int( times_times_int( X, Y ) ) }.
% 0.84/1.30 { is_int( zero_zero_int ) }.
% 0.84/1.30 { is_int( undefined_int( int ) ) }.
% 0.84/1.30 { ! is_int( X ), is_int( bit0( X ) ) }.
% 0.84/1.30 { ! is_int( X ), is_int( bit1( X ) ) }.
% 0.84/1.30 { is_int( min ) }.
% 0.84/1.30 { is_int( pls ) }.
% 0.84/1.30 { ! is_int( X ), is_int( number_number_of_int( X ) ) }.
% 0.84/1.30 { ! is_int( X ), is_int( power_power_int( X, Y ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), is_int( legendre( X, Y ) ) }.
% 0.84/1.30 { is_int( twoSqu140629262sum2sq( X ) ) }.
% 0.84/1.30 { is_int( m ) }.
% 0.84/1.30 { is_int( s1 ) }.
% 0.84/1.30 { is_int( s ) }.
% 0.84/1.30 { is_int( t ) }.
% 0.84/1.30 { ord_less_eq_int( one_one_int, t ) }.
% 0.84/1.30 { ! t = one_one_int, is_int( skol1 ) }.
% 0.84/1.30 { ! t = one_one_int, is_int( skol11 ) }.
% 0.84/1.30 { ! t = one_one_int, plus_plus_int( power_power_int( skol1,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( skol11,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = plus_plus_int(
% 0.84/1.30 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.84/1.30 , one_one_int ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, t ), is_int( skol2 ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, t ), is_int( skol12 ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, t ), plus_plus_int( power_power_int( skol2,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( skol12,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = plus_plus_int(
% 0.84/1.30 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.84/1.30 , one_one_int ) }.
% 0.84/1.30 { ord_less_int( t, plus_plus_int( times_times_int( number_number_of_int(
% 0.84/1.30 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { zprime( plus_plus_int( times_times_int( number_number_of_int( bit0( bit0
% 0.84/1.30 ( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { plus_plus_int( power_power_int( s, number_number_of_nat( bit0( bit1( pls
% 0.84/1.30 ) ) ) ), one_one_int ) = times_times_int( plus_plus_int( times_times_int
% 0.84/1.30 ( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int )
% 0.84/1.30 , t ) }.
% 0.84/1.30 { twoSqu142715416sum2sq( times_times_int( plus_plus_int( times_times_int(
% 0.84/1.30 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ),
% 0.84/1.30 t ) ) }.
% 0.84/1.30 { power_power_int( plus_plus_int( X, Y ), number_number_of_nat( bit0( bit1
% 0.84/1.30 ( pls ) ) ) ) = plus_plus_int( plus_plus_int( power_power_int( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), times_times_int(
% 0.84/1.30 times_times_int( number_number_of_int( bit0( bit1( pls ) ) ), X ), Y ) )
% 0.84/1.30 , power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) }.
% 0.84/1.30 { power_power_int( plus_plus_int( X, Y ), number_number_of_nat( bit1( bit1
% 0.84/1.30 ( pls ) ) ) ) = plus_plus_int( plus_plus_int( plus_plus_int(
% 0.84/1.30 power_power_int( X, number_number_of_nat( bit1( bit1( pls ) ) ) ),
% 0.84/1.30 times_times_int( times_times_int( number_number_of_int( bit1( bit1( pls )
% 0.84/1.30 ) ), power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) )
% 0.84/1.30 , Y ) ), times_times_int( times_times_int( number_number_of_int( bit1(
% 0.84/1.30 bit1( pls ) ) ), X ), power_power_int( Y, number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) ) ), power_power_int( Y, number_number_of_nat( bit1(
% 0.84/1.30 bit1( pls ) ) ) ) ) }.
% 0.84/1.30 { power_power_real( plus_plus_real( X, Y ), number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) = plus_plus_real( plus_plus_real( power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_real( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), times_times_real(
% 0.84/1.30 times_times_real( number267125858f_real( bit0( bit1( pls ) ) ), X ), Y )
% 0.84/1.30 ) }.
% 0.84/1.30 { power_power_nat( plus_plus_nat( X, Y ), number_number_of_nat( bit0( bit1
% 0.84/1.30 ( pls ) ) ) ) = plus_plus_nat( plus_plus_nat( power_power_nat( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_nat( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), times_times_nat(
% 0.84/1.30 times_times_nat( number_number_of_nat( bit0( bit1( pls ) ) ), X ), Y ) )
% 0.84/1.30 }.
% 0.84/1.30 { power_power_int( plus_plus_int( X, Y ), number_number_of_nat( bit0( bit1
% 0.84/1.30 ( pls ) ) ) ) = plus_plus_int( plus_plus_int( power_power_int( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), times_times_int(
% 0.84/1.30 times_times_int( number_number_of_int( bit0( bit1( pls ) ) ), X ), Y ) )
% 0.84/1.30 }.
% 0.84/1.30 { power_power_nat( number_number_of_nat( X ), number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) = times_times_nat( number_number_of_nat( X ),
% 0.84/1.30 number_number_of_nat( X ) ) }.
% 0.84/1.30 { power_power_real( number267125858f_real( X ), number_number_of_nat( bit0
% 0.84/1.30 ( bit1( pls ) ) ) ) = times_times_real( number267125858f_real( X ),
% 0.84/1.30 number267125858f_real( X ) ) }.
% 0.84/1.30 { power_power_int( number_number_of_int( X ), number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) = times_times_int( number_number_of_int( X ),
% 0.84/1.30 number_number_of_int( X ) ) }.
% 0.84/1.30 { times_times_int( X, power_power_int( X, number_number_of_nat( bit0( bit1
% 0.84/1.30 ( pls ) ) ) ) ) = power_power_int( X, number_number_of_nat( bit1( bit1(
% 0.84/1.30 pls ) ) ) ) }.
% 0.84/1.30 { power_power_real( one_one_real, number_number_of_nat( bit0( bit1( pls ) )
% 0.84/1.30 ) ) = one_one_real }.
% 0.84/1.30 { power_power_nat( one_one_nat, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.84/1.30 ) = one_one_nat }.
% 0.84/1.30 { power_power_int( one_one_int, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.84/1.30 ) = one_one_int }.
% 0.84/1.30 { times_times_nat( X, X ) = power_power_nat( X, number_number_of_nat( bit0
% 0.84/1.30 ( bit1( pls ) ) ) ) }.
% 0.84/1.30 { times_times_real( X, X ) = power_power_real( X, number_number_of_nat(
% 0.84/1.30 bit0( bit1( pls ) ) ) ) }.
% 0.84/1.30 { times_times_int( X, X ) = power_power_int( X, number_number_of_nat( bit0
% 0.84/1.30 ( bit1( pls ) ) ) ) }.
% 0.84/1.30 { power_power_nat( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 times_times_nat( X, X ) }.
% 0.84/1.30 { power_power_real( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 times_times_real( X, X ) }.
% 0.84/1.30 { power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 times_times_int( X, X ) }.
% 0.84/1.30 { power_power_nat( X, times_times_nat( number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ), Y ) ) = times_times_nat( power_power_nat( X, Y ),
% 0.84/1.30 power_power_nat( X, Y ) ) }.
% 0.84/1.30 { power_power_real( X, times_times_nat( number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ), Y ) ) = times_times_real( power_power_real( X, Y ),
% 0.84/1.30 power_power_real( X, Y ) ) }.
% 0.84/1.30 { power_power_int( X, times_times_nat( number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ), Y ) ) = times_times_int( power_power_int( X, Y ),
% 0.84/1.30 power_power_int( X, Y ) ) }.
% 0.84/1.30 { plus_plus_real( one_one_real, number267125858f_real( X ) ) =
% 0.84/1.30 number267125858f_real( plus_plus_int( bit1( pls ), X ) ) }.
% 0.84/1.30 { plus_plus_int( one_one_int, number_number_of_int( X ) ) =
% 0.84/1.30 number_number_of_int( plus_plus_int( bit1( pls ), X ) ) }.
% 0.84/1.30 { plus_plus_real( number267125858f_real( X ), one_one_real ) =
% 0.84/1.30 number267125858f_real( plus_plus_int( X, bit1( pls ) ) ) }.
% 0.84/1.30 { plus_plus_int( number_number_of_int( X ), one_one_int ) =
% 0.84/1.30 number_number_of_int( plus_plus_int( X, bit1( pls ) ) ) }.
% 0.84/1.30 { plus_plus_real( one_one_real, one_one_real ) = number267125858f_real(
% 0.84/1.30 bit0( bit1( pls ) ) ) }.
% 0.84/1.30 { plus_plus_int( one_one_int, one_one_int ) = number_number_of_int( bit0(
% 0.84/1.30 bit1( pls ) ) ) }.
% 0.84/1.30 { is_int( skol3 ) }.
% 0.84/1.30 { plus_plus_int( power_power_int( s, number_number_of_nat( bit0( bit1( pls
% 0.84/1.30 ) ) ) ), one_one_int ) = times_times_int( plus_plus_int( times_times_int
% 0.84/1.30 ( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int )
% 0.84/1.30 , skol3 ) }.
% 0.84/1.30 { ord_less_eq_int( X, X ) }.
% 0.84/1.30 { ord_less_eq_int( X, Y ), ord_less_eq_int( Y, X ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( X, Y ), ord_less_eq_int( X
% 0.84/1.30 , Y ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( X, Y ), ! X = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( X, Y ), X = Y,
% 0.84/1.30 ord_less_int( X, Y ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ord_less_int( X, Y ), X = Y, ord_less_int(
% 0.84/1.30 Y, X ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ! ord_less_eq_int( Y, Z ), ord_less_eq_int( X
% 0.84/1.30 , Z ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( X, Y ), !
% 0.84/1.30 ord_less_eq_int( Y, X ), X = Y }.
% 0.84/1.30 { power_power_nat( power_power_nat( X, Y ), Z ) = power_power_nat( X,
% 0.84/1.30 times_times_nat( Y, Z ) ) }.
% 0.84/1.30 { power_power_real( power_power_real( X, Y ), Z ) = power_power_real( X,
% 0.84/1.30 times_times_nat( Y, Z ) ) }.
% 0.84/1.30 { power_power_int( power_power_int( X, Y ), Z ) = power_power_int( X,
% 0.84/1.30 times_times_nat( Y, Z ) ) }.
% 0.84/1.30 { power_power_nat( X, one_one_nat ) = X }.
% 0.84/1.30 { power_power_real( X, one_one_nat ) = X }.
% 0.84/1.30 { ! is_int( X ), power_power_int( X, one_one_nat ) = X }.
% 0.84/1.30 { power_power_int( power_power_int( X, Y ), Z ) = power_power_int( X,
% 0.84/1.30 times_times_nat( Y, Z ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( number267125858f_real( X ), number267125858f_real( Y
% 0.84/1.30 ) ), ! ord_less_real( number267125858f_real( Y ), number267125858f_real
% 0.84/1.30 ( X ) ) }.
% 0.84/1.30 { ord_less_real( number267125858f_real( Y ), number267125858f_real( X ) ),
% 0.84/1.30 ord_less_eq_real( number267125858f_real( X ), number267125858f_real( Y )
% 0.84/1.30 ) }.
% 0.84/1.30 { ! ord_less_eq_nat( number_number_of_nat( X ), number_number_of_nat( Y ) )
% 0.84/1.30 , ! ord_less_nat( number_number_of_nat( Y ), number_number_of_nat( X ) )
% 0.84/1.30 }.
% 0.84/1.30 { ord_less_nat( number_number_of_nat( Y ), number_number_of_nat( X ) ),
% 0.84/1.30 ord_less_eq_nat( number_number_of_nat( X ), number_number_of_nat( Y ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_eq_int( number_number_of_int( X ), number_number_of_int( Y ) )
% 0.84/1.30 , ! ord_less_int( number_number_of_int( Y ), number_number_of_int( X ) )
% 0.84/1.30 }.
% 0.84/1.30 { ord_less_int( number_number_of_int( Y ), number_number_of_int( X ) ),
% 0.84/1.30 ord_less_eq_int( number_number_of_int( X ), number_number_of_int( Y ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_real( number267125858f_real( X ), number267125858f_real( Y ) )
% 0.84/1.30 , ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_real( number267125858f_real( X ),
% 0.84/1.30 number267125858f_real( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( number_number_of_int( X ), number_number_of_int( Y ) ),
% 0.84/1.30 ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( number_number_of_int( X ),
% 0.84/1.30 number_number_of_int( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( number267125858f_real( X ), number267125858f_real( Y
% 0.84/1.30 ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_real( number267125858f_real( X ),
% 0.84/1.30 number267125858f_real( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( number_number_of_int( X ), number_number_of_int( Y ) )
% 0.84/1.30 , ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( number_number_of_int( X ),
% 0.84/1.30 number_number_of_int( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ! ord_less_eq_int( Z, T ), ord_less_int(
% 0.84/1.30 plus_plus_int( X, Z ), plus_plus_int( Y, T ) ) }.
% 0.84/1.30 { times_times_nat( power_power_nat( X, Y ), power_power_nat( X, Z ) ) =
% 0.84/1.30 power_power_nat( X, plus_plus_nat( Y, Z ) ) }.
% 0.84/1.30 { times_times_real( power_power_real( X, Y ), power_power_real( X, Z ) ) =
% 0.84/1.30 power_power_real( X, plus_plus_nat( Y, Z ) ) }.
% 0.84/1.30 { times_times_int( power_power_int( X, Y ), power_power_int( X, Z ) ) =
% 0.84/1.30 power_power_int( X, plus_plus_nat( Y, Z ) ) }.
% 0.84/1.30 { power_power_int( X, plus_plus_nat( Y, Z ) ) = times_times_int(
% 0.84/1.30 power_power_int( X, Y ), power_power_int( X, Z ) ) }.
% 0.84/1.30 { times_times_nat( number_number_of_nat( bit0( bit1( pls ) ) ), X ) =
% 0.84/1.30 plus_plus_nat( X, X ) }.
% 0.84/1.30 { times_times_nat( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 plus_plus_nat( X, X ) }.
% 0.84/1.30 { plus_plus_nat( one_one_nat, one_one_nat ) = number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) }.
% 0.84/1.30 { ! ord_less_int( bit1( X ), bit1( Y ) ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit1( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( bit1( X ), bit1( Y ) ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit1( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit1( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit1( X ), bit1( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit1( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit1( X ), bit1( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( pls, pls ) }.
% 0.84/1.30 { ! ord_less_int( bit0( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( bit0( X ), bit0( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( bit0( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( bit0( X ), bit0( Y ) ) }.
% 0.84/1.30 { ord_less_eq_int( pls, pls ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit0( X ), bit0( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit0( X ), bit0( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit0( X ), bit0( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit0( X ), bit0( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( number_number_of_int( X ), number_number_of_int( Y ) ),
% 0.84/1.30 ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( number_number_of_int( X ),
% 0.84/1.30 number_number_of_int( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( number_number_of_int( X ), number_number_of_int( Y ) )
% 0.84/1.30 , ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( number_number_of_int( X ),
% 0.84/1.30 number_number_of_int( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( plus_plus_int( X, Z ),
% 0.84/1.30 plus_plus_int( Y, Z ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( plus_plus_int( Z, X ),
% 0.84/1.30 plus_plus_int( Z, Y ) ) }.
% 0.84/1.30 { ! ord_less_int( Y, pls ), plus_plus_nat( number_number_of_nat( Y ),
% 0.84/1.30 number_number_of_nat( X ) ) = number_number_of_nat( X ) }.
% 0.84/1.30 { ord_less_int( Y, pls ), ! ord_less_int( X, pls ), plus_plus_nat(
% 0.84/1.30 number_number_of_nat( Y ), number_number_of_nat( X ) ) =
% 0.84/1.30 number_number_of_nat( Y ) }.
% 0.84/1.30 { ord_less_int( Y, pls ), ord_less_int( X, pls ), plus_plus_nat(
% 0.84/1.30 number_number_of_nat( Y ), number_number_of_nat( X ) ) =
% 0.84/1.30 number_number_of_nat( plus_plus_int( Y, X ) ) }.
% 0.84/1.30 { number_number_of_nat( bit1( pls ) ) = one_one_nat }.
% 0.84/1.30 { one_one_nat = number_number_of_nat( bit1( pls ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit1( X ), pls ), ord_less_int( X, pls ) }.
% 0.84/1.30 { ! ord_less_int( X, pls ), ord_less_eq_int( bit1( X ), pls ) }.
% 0.84/1.30 { ! ord_less_int( pls, bit1( X ) ), ord_less_eq_int( pls, X ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ord_less_int( pls, bit1( X ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_eq_int( bit1( X ), bit0( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_eq_int( bit1( X ), bit0( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( bit0( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_int( bit0( X ), bit1( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( bit0( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_int( bit0( X ), bit1( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_eq_int( plus_plus_int( X, one_one_int )
% 0.84/1.30 , Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( plus_plus_int( X, one_one_int ), Y ), ord_less_int( X
% 0.84/1.30 , Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_eq_int( plus_plus_int( X, one_one_int )
% 0.84/1.30 , Y ) }.
% 0.84/1.30 { ! ord_less_int( X, plus_plus_int( Y, one_one_int ) ), ord_less_eq_int( X
% 0.84/1.30 , Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_int( X, plus_plus_int( Y, one_one_int
% 0.84/1.30 ) ) }.
% 0.84/1.30 { zprime( number_number_of_int( bit0( bit1( pls ) ) ) ) }.
% 0.84/1.30 { ! twoSqu142715416sum2sq( X ), ! twoSqu142715416sum2sq( Y ),
% 0.84/1.30 twoSqu142715416sum2sq( times_times_int( X, Y ) ) }.
% 0.84/1.30 { times_times_real( times_times_real( X, Y ), times_times_real( Z, T ) ) =
% 0.84/1.30 times_times_real( times_times_real( X, Z ), times_times_real( Y, T ) ) }
% 0.84/1.30 .
% 0.84/1.30 { times_times_nat( times_times_nat( X, Y ), times_times_nat( Z, T ) ) =
% 0.84/1.30 times_times_nat( times_times_nat( X, Z ), times_times_nat( Y, T ) ) }.
% 0.84/1.30 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.84/1.30 times_times_int( times_times_int( X, Z ), times_times_int( Y, T ) ) }.
% 0.84/1.30 { times_times_real( times_times_real( X, Y ), times_times_real( Z, T ) ) =
% 0.84/1.30 times_times_real( Z, times_times_real( times_times_real( X, Y ), T ) ) }
% 0.84/1.30 .
% 0.84/1.30 { times_times_nat( times_times_nat( X, Y ), times_times_nat( Z, T ) ) =
% 0.84/1.30 times_times_nat( Z, times_times_nat( times_times_nat( X, Y ), T ) ) }.
% 0.84/1.30 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.84/1.30 times_times_int( Z, times_times_int( times_times_int( X, Y ), T ) ) }.
% 0.84/1.30 { times_times_real( times_times_real( X, Y ), times_times_real( Z, T ) ) =
% 0.84/1.30 times_times_real( X, times_times_real( Y, times_times_real( Z, T ) ) ) }
% 0.84/1.30 .
% 0.84/1.30 { times_times_nat( times_times_nat( X, Y ), times_times_nat( Z, T ) ) =
% 0.84/1.30 times_times_nat( X, times_times_nat( Y, times_times_nat( Z, T ) ) ) }.
% 0.84/1.30 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.84/1.30 times_times_int( X, times_times_int( Y, times_times_int( Z, T ) ) ) }.
% 0.84/1.30 { times_times_real( times_times_real( X, Y ), Z ) = times_times_real(
% 0.84/1.30 times_times_real( X, Z ), Y ) }.
% 0.84/1.30 { times_times_nat( times_times_nat( X, Y ), Z ) = times_times_nat(
% 0.84/1.30 times_times_nat( X, Z ), Y ) }.
% 0.84/1.30 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int(
% 0.84/1.30 times_times_int( X, Z ), Y ) }.
% 0.84/1.30 { times_times_real( times_times_real( X, Y ), Z ) = times_times_real( X,
% 0.84/1.30 times_times_real( Y, Z ) ) }.
% 0.84/1.30 { times_times_nat( times_times_nat( X, Y ), Z ) = times_times_nat( X,
% 0.84/1.30 times_times_nat( Y, Z ) ) }.
% 0.84/1.30 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int( X,
% 0.84/1.30 times_times_int( Y, Z ) ) }.
% 0.84/1.30 { times_times_real( X, times_times_real( Y, Z ) ) = times_times_real(
% 0.84/1.30 times_times_real( X, Y ), Z ) }.
% 0.84/1.30 { times_times_nat( X, times_times_nat( Y, Z ) ) = times_times_nat(
% 0.84/1.30 times_times_nat( X, Y ), Z ) }.
% 0.84/1.30 { times_times_int( X, times_times_int( Y, Z ) ) = times_times_int(
% 0.84/1.30 times_times_int( X, Y ), Z ) }.
% 0.84/1.30 { times_times_real( X, times_times_real( Y, Z ) ) = times_times_real( Y,
% 0.84/1.30 times_times_real( X, Z ) ) }.
% 0.84/1.30 { times_times_nat( X, times_times_nat( Y, Z ) ) = times_times_nat( Y,
% 0.84/1.30 times_times_nat( X, Z ) ) }.
% 0.84/1.30 { times_times_int( X, times_times_int( Y, Z ) ) = times_times_int( Y,
% 0.84/1.30 times_times_int( X, Z ) ) }.
% 0.84/1.30 { times_times_real( X, Y ) = times_times_real( Y, X ) }.
% 0.84/1.30 { times_times_nat( X, Y ) = times_times_nat( Y, X ) }.
% 0.84/1.30 { times_times_int( X, Y ) = times_times_int( Y, X ) }.
% 0.84/1.30 { plus_plus_real( plus_plus_real( X, Y ), plus_plus_real( Z, T ) ) =
% 0.84/1.30 plus_plus_real( plus_plus_real( X, Z ), plus_plus_real( Y, T ) ) }.
% 0.84/1.30 { plus_plus_nat( plus_plus_nat( X, Y ), plus_plus_nat( Z, T ) ) =
% 0.84/1.30 plus_plus_nat( plus_plus_nat( X, Z ), plus_plus_nat( Y, T ) ) }.
% 0.84/1.30 { plus_plus_int( plus_plus_int( X, Y ), plus_plus_int( Z, T ) ) =
% 0.84/1.30 plus_plus_int( plus_plus_int( X, Z ), plus_plus_int( Y, T ) ) }.
% 0.84/1.30 { plus_plus_real( plus_plus_real( X, Y ), Z ) = plus_plus_real(
% 0.84/1.30 plus_plus_real( X, Z ), Y ) }.
% 0.84/1.30 { plus_plus_nat( plus_plus_nat( X, Y ), Z ) = plus_plus_nat( plus_plus_nat
% 0.84/1.30 ( X, Z ), Y ) }.
% 0.84/1.30 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( plus_plus_int
% 0.84/1.30 ( X, Z ), Y ) }.
% 0.84/1.30 { plus_plus_real( plus_plus_real( X, Y ), Z ) = plus_plus_real( X,
% 0.84/1.30 plus_plus_real( Y, Z ) ) }.
% 0.84/1.30 { plus_plus_nat( plus_plus_nat( X, Y ), Z ) = plus_plus_nat( X,
% 0.84/1.30 plus_plus_nat( Y, Z ) ) }.
% 0.84/1.30 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( X,
% 0.84/1.30 plus_plus_int( Y, Z ) ) }.
% 0.84/1.30 { plus_plus_real( X, plus_plus_real( Y, Z ) ) = plus_plus_real(
% 0.84/1.30 plus_plus_real( X, Y ), Z ) }.
% 0.84/1.30 { plus_plus_nat( X, plus_plus_nat( Y, Z ) ) = plus_plus_nat( plus_plus_nat
% 0.84/1.30 ( X, Y ), Z ) }.
% 0.84/1.30 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( plus_plus_int
% 0.84/1.30 ( X, Y ), Z ) }.
% 0.84/1.30 { plus_plus_real( X, plus_plus_real( Y, Z ) ) = plus_plus_real( Y,
% 0.84/1.30 plus_plus_real( X, Z ) ) }.
% 0.84/1.30 { plus_plus_nat( X, plus_plus_nat( Y, Z ) ) = plus_plus_nat( Y,
% 0.84/1.30 plus_plus_nat( X, Z ) ) }.
% 0.84/1.30 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( Y,
% 0.84/1.30 plus_plus_int( X, Z ) ) }.
% 0.84/1.30 { plus_plus_real( X, Y ) = plus_plus_real( Y, X ) }.
% 0.84/1.30 { plus_plus_nat( X, Y ) = plus_plus_nat( Y, X ) }.
% 0.84/1.30 { plus_plus_int( X, Y ) = plus_plus_int( Y, X ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! number267125858f_real( X ) =
% 0.84/1.30 number267125858f_real( Y ), X = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = Y, number267125858f_real( X ) =
% 0.84/1.30 number267125858f_real( Y ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! number_number_of_int( X ) =
% 0.84/1.30 number_number_of_int( Y ), X = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = Y, number_number_of_int( X ) =
% 0.84/1.30 number_number_of_int( Y ) }.
% 0.84/1.30 { ! number267125858f_real( X ) = Y, Y = number267125858f_real( X ) }.
% 0.84/1.30 { ! Y = number267125858f_real( X ), number267125858f_real( X ) = Y }.
% 0.84/1.30 { ! is_int( X ), ! number_number_of_int( Y ) = X, X = number_number_of_int
% 0.84/1.30 ( Y ) }.
% 0.84/1.30 { ! is_int( X ), ! X = number_number_of_int( Y ), number_number_of_int( Y )
% 0.84/1.30 = X }.
% 0.84/1.30 { ! number_number_of_nat( X ) = Y, Y = number_number_of_nat( X ) }.
% 0.84/1.30 { ! Y = number_number_of_nat( X ), number_number_of_nat( X ) = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! bit1( X ) = bit1( Y ), X = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = Y, bit1( X ) = bit1( Y ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! bit0( X ) = bit0( Y ), X = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = Y, bit0( X ) = bit0( Y ) }.
% 0.84/1.30 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int( X,
% 0.84/1.30 times_times_int( Y, Z ) ) }.
% 0.84/1.30 { times_times_int( X, Y ) = times_times_int( Y, X ) }.
% 0.84/1.30 { ! is_int( X ), number_number_of_int( X ) = X }.
% 0.84/1.30 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( X,
% 0.84/1.30 plus_plus_int( Y, Z ) ) }.
% 0.84/1.30 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( Y,
% 0.84/1.30 plus_plus_int( X, Z ) ) }.
% 0.84/1.30 { plus_plus_int( X, Y ) = plus_plus_int( Y, X ) }.
% 0.84/1.30 { ! ord_less_int( bit1( X ), pls ), ord_less_int( X, pls ) }.
% 0.84/1.30 { ! ord_less_int( X, pls ), ord_less_int( bit1( X ), pls ) }.
% 0.84/1.30 { ! ord_less_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit0( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit0( Y ) ) }.
% 0.84/1.30 { ! ord_less_int( bit0( X ), pls ), ord_less_int( X, pls ) }.
% 0.84/1.30 { ! ord_less_int( X, pls ), ord_less_int( bit0( X ), pls ) }.
% 0.84/1.30 { ! ord_less_int( pls, bit0( X ) ), ord_less_int( pls, X ) }.
% 0.84/1.30 { ! ord_less_int( pls, X ), ord_less_int( pls, bit0( X ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, bit1( X ) ), ord_less_eq_int( pls, X ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ord_less_eq_int( pls, bit1( X ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit0( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit0( X ), bit1( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit0( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit0( X ), bit1( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit0( X ), pls ), ord_less_eq_int( X, pls ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, pls ), ord_less_eq_int( bit0( X ), pls ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, bit0( X ) ), ord_less_eq_int( pls, X ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ord_less_eq_int( pls, bit0( X ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( X, plus_plus_int( Y,
% 0.84/1.30 one_one_int ) ), ord_less_int( X, Y ), X = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( X, Y ), ord_less_int( X,
% 0.84/1.30 plus_plus_int( Y, one_one_int ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = Y, ord_less_int( X, plus_plus_int( Y
% 0.84/1.30 , one_one_int ) ) }.
% 0.84/1.30 { power_power_nat( X, times_times_nat( number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ), Y ) ) = power_power_nat( power_power_nat( X, Y ),
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) }.
% 0.84/1.30 { power_power_real( X, times_times_nat( number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ), Y ) ) = power_power_real( power_power_real( X, Y ),
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) }.
% 0.84/1.30 { power_power_int( X, times_times_nat( number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ), Y ) ) = power_power_int( power_power_int( X, Y ),
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) }.
% 0.84/1.30 { ! ord_less_real( number267125858f_real( X ), one_one_real ), ord_less_int
% 0.84/1.30 ( X, bit1( pls ) ) }.
% 0.84/1.30 { ! ord_less_int( X, bit1( pls ) ), ord_less_real( number267125858f_real( X
% 0.84/1.30 ), one_one_real ) }.
% 0.84/1.30 { ! ord_less_int( number_number_of_int( X ), one_one_int ), ord_less_int( X
% 0.84/1.30 , bit1( pls ) ) }.
% 0.84/1.30 { ! ord_less_int( X, bit1( pls ) ), ord_less_int( number_number_of_int( X )
% 0.84/1.30 , one_one_int ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, number267125858f_real( X ) ), ord_less_int
% 0.84/1.30 ( bit1( pls ), X ) }.
% 0.84/1.30 { ! ord_less_int( bit1( pls ), X ), ord_less_real( one_one_real,
% 0.84/1.30 number267125858f_real( X ) ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, number_number_of_int( X ) ), ord_less_int(
% 0.84/1.30 bit1( pls ), X ) }.
% 0.84/1.30 { ! ord_less_int( bit1( pls ), X ), ord_less_int( one_one_int,
% 0.84/1.30 number_number_of_int( X ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( number267125858f_real( X ), one_one_real ),
% 0.84/1.30 ord_less_eq_int( X, bit1( pls ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, bit1( pls ) ), ord_less_eq_real(
% 0.84/1.30 number267125858f_real( X ), one_one_real ) }.
% 0.84/1.30 { ! ord_less_eq_int( number_number_of_int( X ), one_one_int ),
% 0.84/1.30 ord_less_eq_int( X, bit1( pls ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, bit1( pls ) ), ord_less_eq_int(
% 0.84/1.30 number_number_of_int( X ), one_one_int ) }.
% 0.84/1.30 { ! ord_less_eq_real( one_one_real, number267125858f_real( X ) ),
% 0.84/1.30 ord_less_eq_int( bit1( pls ), X ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit1( pls ), X ), ord_less_eq_real( one_one_real,
% 0.84/1.30 number267125858f_real( X ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( one_one_int, number_number_of_int( X ) ),
% 0.84/1.30 ord_less_eq_int( bit1( pls ), X ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit1( pls ), X ), ord_less_eq_int( one_one_int,
% 0.84/1.30 number_number_of_int( X ) ) }.
% 0.84/1.30 { ! plus_plus_real( times_times_real( X, Y ), times_times_real( Z, T ) ) =
% 0.84/1.30 plus_plus_real( times_times_real( X, T ), times_times_real( Z, Y ) ), X =
% 0.84/1.30 Z, Y = T }.
% 0.84/1.30 { ! X = Z, plus_plus_real( times_times_real( X, Y ), times_times_real( Z, T
% 0.84/1.30 ) ) = plus_plus_real( times_times_real( X, T ), times_times_real( Z, Y )
% 0.84/1.30 ) }.
% 0.84/1.30 { ! Y = T, plus_plus_real( times_times_real( X, Y ), times_times_real( Z, T
% 0.84/1.30 ) ) = plus_plus_real( times_times_real( X, T ), times_times_real( Z, Y )
% 0.84/1.30 ) }.
% 0.84/1.30 { ! plus_plus_nat( times_times_nat( X, Y ), times_times_nat( Z, T ) ) =
% 0.84/1.30 plus_plus_nat( times_times_nat( X, T ), times_times_nat( Z, Y ) ), X = Z
% 0.84/1.30 , Y = T }.
% 0.84/1.30 { ! X = Z, plus_plus_nat( times_times_nat( X, Y ), times_times_nat( Z, T )
% 0.84/1.30 ) = plus_plus_nat( times_times_nat( X, T ), times_times_nat( Z, Y ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! Y = T, plus_plus_nat( times_times_nat( X, Y ), times_times_nat( Z, T )
% 0.84/1.30 ) = plus_plus_nat( times_times_nat( X, T ), times_times_nat( Z, Y ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! is_int( Z ), ! is_int( T ), !
% 0.84/1.30 plus_plus_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.84/1.30 plus_plus_int( times_times_int( X, T ), times_times_int( Z, Y ) ), X = Z
% 0.84/1.30 , Y = T }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! is_int( Z ), ! is_int( T ), ! X = Z,
% 0.84/1.30 plus_plus_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.84/1.30 plus_plus_int( times_times_int( X, T ), times_times_int( Z, Y ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! is_int( Z ), ! is_int( T ), ! Y = T,
% 0.84/1.30 plus_plus_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.84/1.30 plus_plus_int( times_times_int( X, T ), times_times_int( Z, Y ) ) }.
% 0.84/1.30 { plus_plus_real( times_times_real( X, Y ), times_times_real( Z, Y ) ) =
% 0.84/1.30 times_times_real( plus_plus_real( X, Z ), Y ) }.
% 0.84/1.30 { plus_plus_nat( times_times_nat( X, Y ), times_times_nat( Z, Y ) ) =
% 0.84/1.30 times_times_nat( plus_plus_nat( X, Z ), Y ) }.
% 0.84/1.30 { plus_plus_int( times_times_int( X, Y ), times_times_int( Z, Y ) ) =
% 0.84/1.30 times_times_int( plus_plus_int( X, Z ), Y ) }.
% 0.84/1.30 { times_times_real( plus_plus_real( X, Y ), Z ) = plus_plus_real(
% 0.84/1.30 times_times_real( X, Z ), times_times_real( Y, Z ) ) }.
% 0.84/1.30 { times_times_nat( plus_plus_nat( X, Y ), Z ) = plus_plus_nat(
% 0.84/1.30 times_times_nat( X, Z ), times_times_nat( Y, Z ) ) }.
% 0.84/1.30 { times_times_int( plus_plus_int( X, Y ), Z ) = plus_plus_int(
% 0.84/1.30 times_times_int( X, Z ), times_times_int( Y, Z ) ) }.
% 0.84/1.30 { Z = T, X = Y, ! plus_plus_real( times_times_real( Z, X ),
% 0.84/1.30 times_times_real( T, Y ) ) = plus_plus_real( times_times_real( Z, Y ),
% 0.84/1.30 times_times_real( T, X ) ) }.
% 0.84/1.30 { plus_plus_real( times_times_real( Z, X ), times_times_real( T, Y ) ) =
% 0.84/1.30 plus_plus_real( times_times_real( Z, Y ), times_times_real( T, X ) ), ! Z
% 0.84/1.30 = T }.
% 0.84/1.30 { plus_plus_real( times_times_real( Z, X ), times_times_real( T, Y ) ) =
% 0.84/1.30 plus_plus_real( times_times_real( Z, Y ), times_times_real( T, X ) ), ! X
% 0.84/1.30 = Y }.
% 0.84/1.30 { Z = T, X = Y, ! plus_plus_nat( times_times_nat( Z, X ), times_times_nat(
% 0.84/1.30 T, Y ) ) = plus_plus_nat( times_times_nat( Z, Y ), times_times_nat( T, X
% 0.84/1.30 ) ) }.
% 0.84/1.30 { plus_plus_nat( times_times_nat( Z, X ), times_times_nat( T, Y ) ) =
% 0.84/1.30 plus_plus_nat( times_times_nat( Z, Y ), times_times_nat( T, X ) ), ! Z =
% 0.84/1.30 T }.
% 0.84/1.30 { plus_plus_nat( times_times_nat( Z, X ), times_times_nat( T, Y ) ) =
% 0.84/1.30 plus_plus_nat( times_times_nat( Z, Y ), times_times_nat( T, X ) ), ! X =
% 0.84/1.30 Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! is_int( Z ), ! is_int( T ), Z = T, X = Y
% 0.84/1.30 , ! plus_plus_int( times_times_int( Z, X ), times_times_int( T, Y ) ) =
% 0.84/1.30 plus_plus_int( times_times_int( Z, Y ), times_times_int( T, X ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! is_int( Z ), ! is_int( T ), plus_plus_int
% 0.84/1.30 ( times_times_int( Z, X ), times_times_int( T, Y ) ) = plus_plus_int(
% 0.84/1.30 times_times_int( Z, Y ), times_times_int( T, X ) ), ! Z = T }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! is_int( Z ), ! is_int( T ), plus_plus_int
% 0.84/1.30 ( times_times_int( Z, X ), times_times_int( T, Y ) ) = plus_plus_int(
% 0.84/1.30 times_times_int( Z, Y ), times_times_int( T, X ) ), ! X = Y }.
% 0.84/1.30 { times_times_real( X, plus_plus_real( Y, Z ) ) = plus_plus_real(
% 0.84/1.30 times_times_real( X, Y ), times_times_real( X, Z ) ) }.
% 0.84/1.30 { times_times_nat( X, plus_plus_nat( Y, Z ) ) = plus_plus_nat(
% 0.84/1.30 times_times_nat( X, Y ), times_times_nat( X, Z ) ) }.
% 0.84/1.30 { times_times_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int(
% 0.84/1.30 times_times_int( X, Y ), times_times_int( X, Z ) ) }.
% 0.84/1.30 { times_times_real( X, one_one_real ) = X }.
% 0.84/1.30 { times_times_nat( X, one_one_nat ) = X }.
% 0.84/1.30 { ! is_int( X ), times_times_int( X, one_one_int ) = X }.
% 0.84/1.30 { times_times_real( one_one_real, X ) = X }.
% 0.84/1.30 { times_times_nat( one_one_nat, X ) = X }.
% 0.84/1.30 { ! is_int( X ), times_times_int( one_one_int, X ) = X }.
% 0.84/1.30 { power_power_nat( times_times_nat( X, Y ), Z ) = times_times_nat(
% 0.84/1.30 power_power_nat( X, Z ), power_power_nat( Y, Z ) ) }.
% 0.84/1.30 { power_power_real( times_times_real( X, Y ), Z ) = times_times_real(
% 0.84/1.30 power_power_real( X, Z ), power_power_real( Y, Z ) ) }.
% 0.84/1.30 { power_power_int( times_times_int( X, Y ), Z ) = times_times_int(
% 0.84/1.30 power_power_int( X, Z ), power_power_int( Y, Z ) ) }.
% 0.84/1.30 { ! bit1( X ) = pls }.
% 0.84/1.30 { ! pls = bit1( X ) }.
% 0.84/1.30 { ! bit1( X ) = bit0( Y ) }.
% 0.84/1.30 { ! bit0( X ) = bit1( Y ) }.
% 0.84/1.30 { ! is_int( X ), ! bit0( X ) = pls, X = pls }.
% 0.84/1.30 { ! is_int( X ), ! X = pls, bit0( X ) = pls }.
% 0.84/1.30 { ! is_int( X ), ! pls = bit0( X ), pls = X }.
% 0.84/1.30 { ! is_int( X ), ! pls = X, pls = bit0( X ) }.
% 0.84/1.30 { bit0( pls ) = pls }.
% 0.84/1.30 { times_times_int( pls, X ) = pls }.
% 0.84/1.30 { times_times_int( bit0( X ), Y ) = bit0( times_times_int( X, Y ) ) }.
% 0.84/1.30 { ! is_int( X ), plus_plus_int( X, pls ) = X }.
% 0.84/1.30 { ! is_int( X ), plus_plus_int( pls, X ) = X }.
% 0.84/1.30 { plus_plus_int( bit0( X ), bit0( Y ) ) = bit0( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { bit0( X ) = plus_plus_int( X, X ) }.
% 0.84/1.30 { ! is_int( X ), times_times_int( X, one_one_int ) = X }.
% 0.84/1.30 { ! is_int( X ), times_times_int( one_one_int, X ) = X }.
% 0.84/1.30 { times_times_int( number_number_of_int( X ), number_number_of_int( Y ) ) =
% 0.84/1.30 number_number_of_int( times_times_int( X, Y ) ) }.
% 0.84/1.30 { times_times_int( plus_plus_int( X, Y ), Z ) = plus_plus_int(
% 0.84/1.30 times_times_int( X, Z ), times_times_int( Y, Z ) ) }.
% 0.84/1.30 { times_times_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int(
% 0.84/1.30 times_times_int( X, Y ), times_times_int( X, Z ) ) }.
% 0.84/1.30 { plus_plus_int( number_number_of_int( X ), number_number_of_int( Y ) ) =
% 0.84/1.30 number_number_of_int( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ! ord_less_eq_int( pls, Y ),
% 0.84/1.30 times_times_real( number267125858f_real( X ), number267125858f_real( Y )
% 0.84/1.30 ) = number267125858f_real( times_times_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ! ord_less_eq_int( pls, Y ), times_times_nat
% 0.84/1.30 ( number_number_of_nat( X ), number_number_of_nat( Y ) ) =
% 0.84/1.30 number_number_of_nat( times_times_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ! ord_less_eq_int( pls, Y ), times_times_int
% 0.84/1.30 ( number_number_of_int( X ), number_number_of_int( Y ) ) =
% 0.84/1.30 number_number_of_int( times_times_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ! ord_less_eq_int( pls, Y ), plus_plus_real
% 0.84/1.30 ( number267125858f_real( X ), number267125858f_real( Y ) ) =
% 0.84/1.30 number267125858f_real( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ! ord_less_eq_int( pls, Y ), plus_plus_nat(
% 0.84/1.30 number_number_of_nat( X ), number_number_of_nat( Y ) ) =
% 0.84/1.30 number_number_of_nat( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ! ord_less_eq_int( pls, Y ), plus_plus_int(
% 0.84/1.30 number_number_of_int( X ), number_number_of_int( Y ) ) =
% 0.84/1.30 number_number_of_int( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { ord_less_eq_int( X, power_power_int( X, number_number_of_nat( bit0( bit1
% 0.84/1.30 ( pls ) ) ) ) ) }.
% 0.84/1.30 { times_times_real( plus_plus_real( X, Y ), number267125858f_real( Z ) ) =
% 0.84/1.30 plus_plus_real( times_times_real( X, number267125858f_real( Z ) ),
% 0.84/1.30 times_times_real( Y, number267125858f_real( Z ) ) ) }.
% 0.84/1.30 { times_times_nat( plus_plus_nat( X, Y ), number_number_of_nat( Z ) ) =
% 0.84/1.30 plus_plus_nat( times_times_nat( X, number_number_of_nat( Z ) ),
% 0.84/1.30 times_times_nat( Y, number_number_of_nat( Z ) ) ) }.
% 0.84/1.30 { times_times_int( plus_plus_int( X, Y ), number_number_of_int( Z ) ) =
% 0.84/1.30 plus_plus_int( times_times_int( X, number_number_of_int( Z ) ),
% 0.84/1.30 times_times_int( Y, number_number_of_int( Z ) ) ) }.
% 0.84/1.30 { times_times_real( number267125858f_real( X ), plus_plus_real( Y, Z ) ) =
% 0.84/1.30 plus_plus_real( times_times_real( number267125858f_real( X ), Y ),
% 0.84/1.30 times_times_real( number267125858f_real( X ), Z ) ) }.
% 0.84/1.30 { times_times_nat( number_number_of_nat( X ), plus_plus_nat( Y, Z ) ) =
% 0.84/1.30 plus_plus_nat( times_times_nat( number_number_of_nat( X ), Y ),
% 0.84/1.30 times_times_nat( number_number_of_nat( X ), Z ) ) }.
% 0.84/1.30 { times_times_int( number_number_of_int( X ), plus_plus_int( Y, Z ) ) =
% 0.84/1.30 plus_plus_int( times_times_int( number_number_of_int( X ), Y ),
% 0.84/1.30 times_times_int( number_number_of_int( X ), Z ) ) }.
% 0.84/1.30 { plus_plus_real( times_times_real( X, Y ), Y ) = times_times_real(
% 0.84/1.30 plus_plus_real( X, one_one_real ), Y ) }.
% 0.84/1.30 { plus_plus_nat( times_times_nat( X, Y ), Y ) = times_times_nat(
% 0.84/1.30 plus_plus_nat( X, one_one_nat ), Y ) }.
% 0.84/1.30 { plus_plus_int( times_times_int( X, Y ), Y ) = times_times_int(
% 0.84/1.30 plus_plus_int( X, one_one_int ), Y ) }.
% 0.84/1.30 { plus_plus_real( X, times_times_real( Y, X ) ) = times_times_real(
% 0.84/1.30 plus_plus_real( Y, one_one_real ), X ) }.
% 0.84/1.30 { plus_plus_nat( X, times_times_nat( Y, X ) ) = times_times_nat(
% 0.84/1.30 plus_plus_nat( Y, one_one_nat ), X ) }.
% 0.84/1.30 { plus_plus_int( X, times_times_int( Y, X ) ) = times_times_int(
% 0.84/1.30 plus_plus_int( Y, one_one_int ), X ) }.
% 0.84/1.30 { plus_plus_real( X, X ) = times_times_real( plus_plus_real( one_one_real,
% 0.84/1.30 one_one_real ), X ) }.
% 0.84/1.30 { plus_plus_nat( X, X ) = times_times_nat( plus_plus_nat( one_one_nat,
% 0.84/1.30 one_one_nat ), X ) }.
% 0.84/1.30 { plus_plus_int( X, X ) = times_times_int( plus_plus_int( one_one_int,
% 0.84/1.30 one_one_int ), X ) }.
% 0.84/1.30 { plus_plus_real( number267125858f_real( pls ), X ) = X }.
% 0.84/1.30 { ! is_int( X ), plus_plus_int( number_number_of_int( pls ), X ) = X }.
% 0.84/1.30 { plus_plus_real( X, number267125858f_real( pls ) ) = X }.
% 0.84/1.30 { ! is_int( X ), plus_plus_int( X, number_number_of_int( pls ) ) = X }.
% 0.84/1.30 { times_times_real( number267125858f_real( X ), times_times_real(
% 0.84/1.30 number267125858f_real( Y ), Z ) ) = times_times_real(
% 0.84/1.30 number267125858f_real( times_times_int( X, Y ) ), Z ) }.
% 0.84/1.30 { times_times_int( number_number_of_int( X ), times_times_int(
% 0.84/1.30 number_number_of_int( Y ), Z ) ) = times_times_int( number_number_of_int
% 0.84/1.30 ( times_times_int( X, Y ) ), Z ) }.
% 0.84/1.30 { times_times_real( number267125858f_real( X ), number267125858f_real( Y )
% 0.84/1.30 ) = number267125858f_real( times_times_int( X, Y ) ) }.
% 0.84/1.30 { times_times_int( number_number_of_int( X ), number_number_of_int( Y ) ) =
% 0.84/1.30 number_number_of_int( times_times_int( X, Y ) ) }.
% 0.84/1.30 { number267125858f_real( times_times_int( X, Y ) ) = times_times_real(
% 0.84/1.30 number267125858f_real( X ), number267125858f_real( Y ) ) }.
% 0.84/1.30 { number_number_of_int( times_times_int( X, Y ) ) = times_times_int(
% 0.84/1.30 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 0.84/1.30 { plus_plus_real( number267125858f_real( X ), plus_plus_real(
% 0.84/1.30 number267125858f_real( Y ), Z ) ) = plus_plus_real( number267125858f_real
% 0.84/1.30 ( plus_plus_int( X, Y ) ), Z ) }.
% 0.84/1.30 { plus_plus_int( number_number_of_int( X ), plus_plus_int(
% 0.84/1.30 number_number_of_int( Y ), Z ) ) = plus_plus_int( number_number_of_int(
% 0.84/1.30 plus_plus_int( X, Y ) ), Z ) }.
% 0.84/1.30 { plus_plus_real( number267125858f_real( X ), number267125858f_real( Y ) )
% 0.84/1.30 = number267125858f_real( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { plus_plus_int( number_number_of_int( X ), number_number_of_int( Y ) ) =
% 0.84/1.30 number_number_of_int( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { number267125858f_real( plus_plus_int( X, Y ) ) = plus_plus_real(
% 0.84/1.30 number267125858f_real( X ), number267125858f_real( Y ) ) }.
% 0.84/1.30 { number_number_of_int( plus_plus_int( X, Y ) ) = plus_plus_int(
% 0.84/1.30 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 0.84/1.30 { plus_plus_int( bit1( X ), bit0( Y ) ) = bit1( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { plus_plus_int( bit0( X ), bit1( Y ) ) = bit1( plus_plus_int( X, Y ) ) }.
% 0.84/1.30 { bit1( X ) = plus_plus_int( plus_plus_int( one_one_int, X ), X ) }.
% 0.84/1.30 { number267125858f_real( bit1( X ) ) = plus_plus_real( plus_plus_real(
% 0.84/1.30 one_one_real, number267125858f_real( X ) ), number267125858f_real( X ) )
% 0.84/1.30 }.
% 0.84/1.30 { number_number_of_int( bit1( X ) ) = plus_plus_int( plus_plus_int(
% 0.84/1.30 one_one_int, number_number_of_int( X ) ), number_number_of_int( X ) ) }.
% 0.84/1.30 { times_times_real( number267125858f_real( bit1( pls ) ), X ) = X }.
% 0.84/1.30 { ! is_int( X ), times_times_int( number_number_of_int( bit1( pls ) ), X )
% 0.84/1.30 = X }.
% 0.84/1.30 { times_times_real( X, number267125858f_real( bit1( pls ) ) ) = X }.
% 0.84/1.30 { ! is_int( X ), times_times_int( X, number_number_of_int( bit1( pls ) ) )
% 0.84/1.30 = X }.
% 0.84/1.30 { number267125858f_real( bit1( pls ) ) = one_one_real }.
% 0.84/1.30 { number_number_of_nat( bit1( pls ) ) = one_one_nat }.
% 0.84/1.30 { number_number_of_int( bit1( pls ) ) = one_one_int }.
% 0.84/1.30 { number267125858f_real( bit1( pls ) ) = one_one_real }.
% 0.84/1.30 { number_number_of_int( bit1( pls ) ) = one_one_int }.
% 0.84/1.30 { one_one_real = number267125858f_real( bit1( pls ) ) }.
% 0.84/1.30 { one_one_int = number_number_of_int( bit1( pls ) ) }.
% 0.84/1.30 { one_one_int = number_number_of_int( bit1( pls ) ) }.
% 0.84/1.30 { times_times_int( bit1( X ), Y ) = plus_plus_int( bit0( times_times_int( X
% 0.84/1.30 , Y ) ), Y ) }.
% 0.84/1.30 { times_times_real( plus_plus_real( one_one_real, one_one_real ),
% 0.84/1.30 number267125858f_real( X ) ) = number267125858f_real( bit0( X ) ) }.
% 0.84/1.30 { times_times_int( plus_plus_int( one_one_int, one_one_int ),
% 0.84/1.30 number_number_of_int( X ) ) = number_number_of_int( bit0( X ) ) }.
% 0.84/1.30 { power_power_nat( X, number_number_of_nat( bit1( bit1( pls ) ) ) ) =
% 0.84/1.30 times_times_nat( times_times_nat( X, X ), X ) }.
% 0.84/1.30 { power_power_real( X, number_number_of_nat( bit1( bit1( pls ) ) ) ) =
% 0.84/1.30 times_times_real( times_times_real( X, X ), X ) }.
% 0.84/1.30 { power_power_int( X, number_number_of_nat( bit1( bit1( pls ) ) ) ) =
% 0.84/1.30 times_times_int( times_times_int( X, X ), X ) }.
% 0.84/1.30 { power_power_int( power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 power_power_int( X, number_number_of_nat( bit0( bit0( bit1( pls ) ) ) ) )
% 0.84/1.30 }.
% 0.84/1.30 { times_times_real( number267125858f_real( bit0( bit1( pls ) ) ), X ) =
% 0.84/1.30 plus_plus_real( X, X ) }.
% 0.84/1.30 { times_times_nat( number_number_of_nat( bit0( bit1( pls ) ) ), X ) =
% 0.84/1.30 plus_plus_nat( X, X ) }.
% 0.84/1.30 { times_times_int( number_number_of_int( bit0( bit1( pls ) ) ), X ) =
% 0.84/1.30 plus_plus_int( X, X ) }.
% 0.84/1.30 { times_times_real( number267125858f_real( bit0( bit1( pls ) ) ), X ) =
% 0.84/1.30 plus_plus_real( X, X ) }.
% 0.84/1.30 { times_times_int( number_number_of_int( bit0( bit1( pls ) ) ), X ) =
% 0.84/1.30 plus_plus_int( X, X ) }.
% 0.84/1.30 { times_times_real( X, number267125858f_real( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 plus_plus_real( X, X ) }.
% 0.84/1.30 { times_times_nat( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 plus_plus_nat( X, X ) }.
% 0.84/1.30 { times_times_int( X, number_number_of_int( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 plus_plus_int( X, X ) }.
% 0.84/1.30 { times_times_real( X, number267125858f_real( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 plus_plus_real( X, X ) }.
% 0.84/1.30 { times_times_int( X, number_number_of_int( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 plus_plus_int( X, X ) }.
% 0.84/1.30 { plus_plus_real( one_one_real, one_one_real ) = number267125858f_real(
% 0.84/1.30 bit0( bit1( pls ) ) ) }.
% 0.84/1.30 { plus_plus_nat( one_one_nat, one_one_nat ) = number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) }.
% 0.84/1.30 { plus_plus_int( one_one_int, one_one_int ) = number_number_of_int( bit0(
% 0.84/1.30 bit1( pls ) ) ) }.
% 0.84/1.30 { ord_less_int( zero_zero_int, plus_plus_int( times_times_int(
% 0.84/1.30 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) )
% 0.84/1.30 }.
% 0.84/1.30 { dvd_dvd_int( plus_plus_int( times_times_int( number_number_of_int( bit0(
% 0.84/1.30 bit0( bit1( pls ) ) ) ), m ), one_one_int ), plus_plus_int(
% 0.84/1.30 power_power_int( s, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 one_one_int ) ) }.
% 0.84/1.30 { ! is_int( X ), ! zprime( X ), X = number_number_of_int( bit0( bit1( pls )
% 0.84/1.30 ) ), X = number_number_of_int( bit1( bit1( pls ) ) ), ord_less_eq_int(
% 0.84/1.30 number_number_of_int( bit1( bit0( bit1( pls ) ) ) ), X ) }.
% 0.84/1.30 { twoSqu140629262sum2sq( product_Pair_int_int( s, one_one_int ) ) =
% 0.84/1.30 times_times_int( plus_plus_int( times_times_int( number_number_of_int(
% 0.84/1.30 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ), t ) }.
% 0.84/1.30 { power_power_real( plus_plus_real( X, Y ), number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) = plus_plus_real( plus_plus_real( power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_real( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), times_times_real(
% 0.84/1.30 times_times_real( number267125858f_real( bit0( bit1( pls ) ) ), X ), Y )
% 0.84/1.30 ) }.
% 0.84/1.30 { times_times_real( number267125858f_real( bit0( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 power_power_real( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) =
% 0.84/1.30 power_power_real( times_times_real( number267125858f_real( bit0( bit1(
% 0.84/1.30 pls ) ) ), X ), number_number_of_nat( bit0( bit1( pls ) ) ) ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ord_less_real( power_power_real( X, Y
% 0.84/1.30 ), times_times_real( X, power_power_real( X, Y ) ) ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ord_less_nat( power_power_nat( X, Y ),
% 0.84/1.30 times_times_nat( X, power_power_nat( X, Y ) ) ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ord_less_int( power_power_int( X, Y ),
% 0.84/1.30 times_times_int( X, power_power_int( X, Y ) ) ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ord_less_real( one_one_real,
% 0.84/1.30 times_times_real( X, power_power_real( X, Y ) ) ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ord_less_nat( one_one_nat,
% 0.84/1.30 times_times_nat( X, power_power_nat( X, Y ) ) ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ord_less_int( one_one_int,
% 0.84/1.30 times_times_int( X, power_power_int( X, Y ) ) ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! ord_less_eq_real( power_power_real
% 0.84/1.30 ( X, Y ), power_power_real( X, Z ) ), ord_less_eq_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! ord_less_eq_nat( power_power_nat( X,
% 0.84/1.30 Y ), power_power_nat( X, Z ) ), ord_less_eq_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! ord_less_eq_int( power_power_int( X,
% 0.84/1.30 Y ), power_power_int( X, Z ) ), ord_less_eq_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! ord_less_eq_real( power_power_real
% 0.84/1.30 ( X, Y ), power_power_real( X, Z ) ), ord_less_eq_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! ord_less_eq_nat( Y, Z ),
% 0.84/1.30 ord_less_eq_real( power_power_real( X, Y ), power_power_real( X, Z ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! ord_less_eq_nat( power_power_nat( X,
% 0.84/1.30 Y ), power_power_nat( X, Z ) ), ord_less_eq_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! ord_less_eq_nat( Y, Z ),
% 0.84/1.30 ord_less_eq_nat( power_power_nat( X, Y ), power_power_nat( X, Z ) ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! ord_less_eq_int( power_power_int( X,
% 0.84/1.30 Y ), power_power_int( X, Z ) ), ord_less_eq_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! ord_less_eq_nat( Y, Z ),
% 0.84/1.30 ord_less_eq_int( power_power_int( X, Y ), power_power_int( X, Z ) ) }.
% 0.84/1.30 { zcong( power_power_int( s, number_number_of_nat( bit0( bit1( pls ) ) ) )
% 0.84/1.30 , power_power_int( s1, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { ord_less_eq_int( zero_zero_int, s ) }.
% 0.84/1.30 { ord_less_int( s, plus_plus_int( times_times_int( number_number_of_int(
% 0.84/1.30 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { zcong( s1, s, plus_plus_int( times_times_int( number_number_of_int( bit0
% 0.84/1.30 ( bit0( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { is_int( skol4 ) }.
% 0.84/1.30 { ord_less_eq_int( zero_zero_int, skol4 ) }.
% 0.84/1.30 { ord_less_int( skol4, plus_plus_int( times_times_int( number_number_of_int
% 0.84/1.30 ( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { zcong( s1, skol4, plus_plus_int( times_times_int( number_number_of_int(
% 0.84/1.30 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { ! is_int( X ), ! ord_less_eq_int( zero_zero_int, X ), ! ord_less_int( X,
% 0.84/1.30 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), m ), one_one_int ) ), ! zcong( s1, X, plus_plus_int(
% 0.84/1.30 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.84/1.30 , one_one_int ) ), X = skol4 }.
% 0.84/1.30 { is_int( skol5 ) }.
% 0.84/1.30 { ord_less_eq_int( zero_zero_int, skol5 ) }.
% 0.84/1.30 { ord_less_int( skol5, plus_plus_int( times_times_int( number_number_of_int
% 0.84/1.30 ( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { zcong( s1, skol5, plus_plus_int( times_times_int( number_number_of_int(
% 0.84/1.30 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.84/1.30 { zcong( power_power_int( s1, number_number_of_nat( bit0( bit1( pls ) ) ) )
% 0.84/1.30 , number_number_of_int( min ), plus_plus_int( times_times_int(
% 0.84/1.30 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) )
% 0.84/1.30 }.
% 0.84/1.30 { ! power_power_real( X, Y ) = zero_zero_real, X = zero_zero_real }.
% 0.84/1.30 { ! power_power_real( X, Y ) = zero_zero_real, ! Y = zero_zero_nat }.
% 0.84/1.30 { ! X = zero_zero_real, Y = zero_zero_nat, power_power_real( X, Y ) =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { ! power_power_nat( X, Y ) = zero_zero_nat, X = zero_zero_nat }.
% 0.84/1.30 { ! power_power_nat( X, Y ) = zero_zero_nat, ! Y = zero_zero_nat }.
% 0.84/1.30 { ! X = zero_zero_nat, Y = zero_zero_nat, power_power_nat( X, Y ) =
% 0.84/1.30 zero_zero_nat }.
% 0.84/1.30 { ! is_int( X ), ! power_power_int( X, Y ) = zero_zero_int, X =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! power_power_int( X, Y ) = zero_zero_int, ! Y =
% 0.84/1.30 zero_zero_nat }.
% 0.84/1.30 { ! is_int( X ), ! X = zero_zero_int, Y = zero_zero_nat, power_power_int( X
% 0.84/1.30 , Y ) = zero_zero_int }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), dvd_dvd_nat( power_power_nat( Z, X ),
% 0.84/1.30 power_power_nat( Z, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), dvd_dvd_int( power_power_int( Z, X ),
% 0.84/1.30 power_power_int( Z, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), dvd_dvd_real( power_power_real( Z, X ),
% 0.84/1.30 power_power_real( Z, Y ) ) }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), ! ord_less_eq_nat( Z, T ), dvd_dvd_nat(
% 0.84/1.30 power_power_nat( X, Z ), power_power_nat( Y, T ) ) }.
% 0.84/1.30 { ! dvd_dvd_int( X, Y ), ! ord_less_eq_nat( Z, T ), dvd_dvd_int(
% 0.84/1.30 power_power_int( X, Z ), power_power_int( Y, T ) ) }.
% 0.84/1.30 { ! dvd_dvd_real( X, Y ), ! ord_less_eq_nat( Z, T ), dvd_dvd_real(
% 0.84/1.30 power_power_real( X, Z ), power_power_real( Y, T ) ) }.
% 0.84/1.30 { ! dvd_dvd_nat( power_power_nat( X, Y ), Z ), ! ord_less_eq_nat( T, Y ),
% 0.84/1.30 dvd_dvd_nat( power_power_nat( X, T ), Z ) }.
% 0.84/1.30 { ! dvd_dvd_int( power_power_int( X, Y ), Z ), ! ord_less_eq_nat( T, Y ),
% 0.84/1.30 dvd_dvd_int( power_power_int( X, T ), Z ) }.
% 0.84/1.30 { ! dvd_dvd_real( power_power_real( X, Y ), Z ), ! ord_less_eq_nat( T, Y )
% 0.84/1.30 , dvd_dvd_real( power_power_real( X, T ), Z ) }.
% 0.84/1.30 { ! power_power_real( X, Y ) = power_power_real( Z, Y ), ! ord_less_eq_real
% 0.84/1.30 ( zero_zero_real, X ), ! ord_less_eq_real( zero_zero_real, Z ), !
% 0.84/1.30 ord_less_nat( zero_zero_nat, Y ), X = Z }.
% 0.84/1.30 { ! power_power_nat( X, Y ) = power_power_nat( Z, Y ), ! ord_less_eq_nat(
% 0.84/1.30 zero_zero_nat, X ), ! ord_less_eq_nat( zero_zero_nat, Z ), ! ord_less_nat
% 0.84/1.30 ( zero_zero_nat, Y ), X = Z }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! power_power_int( X, Z ) = power_power_int
% 0.84/1.30 ( Y, Z ), ! ord_less_eq_int( zero_zero_int, X ), ! ord_less_eq_int(
% 0.84/1.30 zero_zero_int, Y ), ! ord_less_nat( zero_zero_nat, Z ), X = Y }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, X ), ! ord_less_int( X, Y ), ! dvd_dvd_int
% 0.84/1.30 ( Y, X ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( zero_zero_int, Y ), !
% 0.84/1.30 ord_less_eq_int( zero_zero_int, X ), ! dvd_dvd_int( Y, X ), ! dvd_dvd_int
% 0.84/1.30 ( X, Y ), Y = X }.
% 0.84/1.30 { ! is_int( X ), ! dvd_dvd_int( times_times_int( X, Y ), times_times_int( X
% 0.84/1.30 , Z ) ), X = zero_zero_int, dvd_dvd_int( Y, Z ) }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), dvd_dvd_nat( power_power_nat( X, Z ),
% 0.84/1.30 power_power_nat( Y, Z ) ) }.
% 0.84/1.30 { ! dvd_dvd_int( X, Y ), dvd_dvd_int( power_power_int( X, Z ),
% 0.84/1.30 power_power_int( Y, Z ) ) }.
% 0.84/1.30 { ! dvd_dvd_real( X, Y ), dvd_dvd_real( power_power_real( X, Z ),
% 0.84/1.30 power_power_real( Y, Z ) ) }.
% 0.84/1.30 { X = zero_zero_real, ! power_power_real( X, Y ) = zero_zero_real }.
% 0.84/1.30 { ! is_int( X ), X = zero_zero_int, ! power_power_int( X, Y ) =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! X = zero_zero_nat, power_power_real( zero_zero_real, X ) = one_one_real
% 0.84/1.30 }.
% 0.84/1.30 { X = zero_zero_nat, power_power_real( zero_zero_real, X ) = zero_zero_real
% 0.84/1.30 }.
% 0.84/1.30 { ! X = zero_zero_nat, power_power_nat( zero_zero_nat, X ) = one_one_nat }
% 0.84/1.30 .
% 0.84/1.30 { X = zero_zero_nat, power_power_nat( zero_zero_nat, X ) = zero_zero_nat }
% 0.84/1.30 .
% 0.84/1.30 { ! X = zero_zero_nat, power_power_int( zero_zero_int, X ) = one_one_int }
% 0.84/1.30 .
% 0.84/1.30 { X = zero_zero_nat, power_power_int( zero_zero_int, X ) = zero_zero_int }
% 0.84/1.30 .
% 0.84/1.30 { ! dvd_dvd_int( X, Y ), ! ord_less_int( zero_zero_int, Y ),
% 0.84/1.30 ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_real( X, Y ), ! ord_less_eq_real( zero_zero_real, X ), !
% 0.84/1.30 ord_less_nat( zero_zero_nat, Z ), ord_less_real( power_power_real( X, Z )
% 0.84/1.30 , power_power_real( Y, Z ) ) }.
% 0.84/1.30 { ! ord_less_nat( X, Y ), ! ord_less_eq_nat( zero_zero_nat, X ), !
% 0.84/1.30 ord_less_nat( zero_zero_nat, Z ), ord_less_nat( power_power_nat( X, Z ),
% 0.84/1.30 power_power_nat( Y, Z ) ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ! ord_less_eq_int( zero_zero_int, X ), !
% 0.84/1.30 ord_less_nat( zero_zero_nat, Z ), ord_less_int( power_power_int( X, Z ),
% 0.84/1.30 power_power_int( Y, Z ) ) }.
% 0.84/1.30 { times_times_real( zero_zero_real, X ) = zero_zero_real }.
% 0.84/1.30 { times_times_nat( zero_zero_nat, X ) = zero_zero_nat }.
% 0.84/1.30 { times_times_int( zero_zero_int, X ) = zero_zero_int }.
% 0.84/1.30 { times_times_real( X, zero_zero_real ) = zero_zero_real }.
% 0.84/1.30 { times_times_nat( X, zero_zero_nat ) = zero_zero_nat }.
% 0.84/1.30 { times_times_int( X, zero_zero_int ) = zero_zero_int }.
% 0.84/1.30 { plus_plus_real( zero_zero_real, X ) = X }.
% 0.84/1.30 { plus_plus_nat( zero_zero_nat, X ) = X }.
% 0.84/1.30 { ! is_int( X ), plus_plus_int( zero_zero_int, X ) = X }.
% 0.84/1.30 { plus_plus_real( X, zero_zero_real ) = X }.
% 0.84/1.30 { plus_plus_nat( X, zero_zero_nat ) = X }.
% 0.84/1.30 { ! is_int( X ), plus_plus_int( X, zero_zero_int ) = X }.
% 0.84/1.30 { ! X = plus_plus_real( X, Y ), Y = zero_zero_real }.
% 0.84/1.30 { ! Y = zero_zero_real, X = plus_plus_real( X, Y ) }.
% 0.84/1.30 { ! X = plus_plus_nat( X, Y ), Y = zero_zero_nat }.
% 0.84/1.30 { ! Y = zero_zero_nat, X = plus_plus_nat( X, Y ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = plus_plus_int( X, Y ), Y =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! Y = zero_zero_int, X = plus_plus_int( X,
% 0.84/1.30 Y ) }.
% 0.84/1.30 { ! plus_plus_real( X, X ) = zero_zero_real, X = zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, plus_plus_real( X, X ) = zero_zero_real }.
% 0.84/1.30 { ! is_int( X ), ! plus_plus_int( X, X ) = zero_zero_int, X = zero_zero_int
% 0.84/1.30 }.
% 0.84/1.30 { ! is_int( X ), ! X = zero_zero_int, plus_plus_int( X, X ) = zero_zero_int
% 0.84/1.30 }.
% 0.84/1.30 { pls = zero_zero_int }.
% 0.84/1.30 { ! zero_zero_int = one_one_int }.
% 0.84/1.30 { ! is_int( X ), plus_plus_int( zero_zero_int, X ) = X }.
% 0.84/1.30 { ! is_int( X ), plus_plus_int( X, zero_zero_int ) = X }.
% 0.84/1.30 { ! ord_less_eq_real( zero_zero_real, X ), ord_less_eq_real( zero_zero_real
% 0.84/1.30 , power_power_real( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( zero_zero_nat, X ), ord_less_eq_nat( zero_zero_nat,
% 0.84/1.30 power_power_nat( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( zero_zero_int, X ), ord_less_eq_int( zero_zero_int,
% 0.84/1.30 power_power_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( X, Y ), ! ord_less_eq_real( zero_zero_real, X ),
% 0.84/1.30 ord_less_eq_real( power_power_real( X, Z ), power_power_real( Y, Z ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), ! ord_less_eq_nat( zero_zero_nat, X ),
% 0.84/1.30 ord_less_eq_nat( power_power_nat( X, Z ), power_power_nat( Y, Z ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ! ord_less_eq_int( zero_zero_int, X ),
% 0.84/1.30 ord_less_eq_int( power_power_int( X, Z ), power_power_int( Y, Z ) ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ord_less_real( zero_zero_real,
% 0.84/1.30 power_power_real( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, X ), ord_less_nat( zero_zero_nat,
% 0.84/1.30 power_power_nat( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, X ), ord_less_int( zero_zero_int,
% 0.84/1.30 power_power_int( X, Y ) ) }.
% 0.84/1.30 { ! zcong( power_power_int( X, Y ), one_one_int, Z ), zcong(
% 0.84/1.30 power_power_int( X, times_times_nat( Y, T ) ), one_one_int, Z ) }.
% 0.84/1.30 { ! dvd_dvd_int( X, plus_plus_int( Y, times_times_int( X, Z ) ) ),
% 0.84/1.30 dvd_dvd_int( X, Y ) }.
% 0.84/1.30 { ! dvd_dvd_int( X, Y ), dvd_dvd_int( X, plus_plus_int( Y, times_times_int
% 0.84/1.30 ( X, Z ) ) ) }.
% 0.84/1.30 { ! dvd_dvd_int( X, Y ), ! dvd_dvd_int( X, plus_plus_int( T, U ) ),
% 0.84/1.30 dvd_dvd_int( X, plus_plus_int( plus_plus_int( T, times_times_int( Z, Y )
% 0.84/1.30 ), U ) ) }.
% 0.84/1.30 { ! dvd_dvd_int( X, Y ), ! dvd_dvd_int( X, plus_plus_int( plus_plus_int( T
% 0.84/1.30 , times_times_int( Z, Y ) ), U ) ), dvd_dvd_int( X, plus_plus_int( T, U )
% 0.84/1.30 ) }.
% 0.84/1.30 { ! ord_less_real( power_power_real( X, Z ), power_power_real( Y, Z ) ), !
% 0.84/1.30 ord_less_eq_real( zero_zero_real, Y ), ord_less_real( X, Y ) }.
% 0.84/1.30 { ! ord_less_nat( power_power_nat( X, Z ), power_power_nat( Y, Z ) ), !
% 0.84/1.30 ord_less_eq_nat( zero_zero_nat, Y ), ord_less_nat( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( power_power_int( X, Z ), power_power_int( Y, Z ) ), !
% 0.84/1.30 ord_less_eq_int( zero_zero_int, Y ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), ! ord_less_eq_real( zero_zero_real, Z ), !
% 0.84/1.30 ord_less_eq_real( Z, one_one_real ), ord_less_eq_real( power_power_real(
% 0.84/1.30 Z, Y ), power_power_real( Z, X ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), ! ord_less_eq_nat( zero_zero_nat, Z ), !
% 0.84/1.30 ord_less_eq_nat( Z, one_one_nat ), ord_less_eq_nat( power_power_nat( Z, Y
% 0.84/1.30 ), power_power_nat( Z, X ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), ! ord_less_eq_int( zero_zero_int, Z ), !
% 0.84/1.30 ord_less_eq_int( Z, one_one_int ), ord_less_eq_int( power_power_int( Z, Y
% 0.84/1.30 ), power_power_int( Z, X ) ) }.
% 0.84/1.30 { ! ord_less_nat( X, Y ), ! ord_less_real( zero_zero_real, Z ), !
% 0.84/1.30 ord_less_real( Z, one_one_real ), ord_less_real( power_power_real( Z, Y )
% 0.84/1.30 , power_power_real( Z, X ) ) }.
% 0.84/1.30 { ! ord_less_nat( X, Y ), ! ord_less_nat( zero_zero_nat, Z ), !
% 0.84/1.30 ord_less_nat( Z, one_one_nat ), ord_less_nat( power_power_nat( Z, Y ),
% 0.84/1.30 power_power_nat( Z, X ) ) }.
% 0.84/1.30 { ! ord_less_nat( X, Y ), ! ord_less_int( zero_zero_int, Z ), !
% 0.84/1.30 ord_less_int( Z, one_one_int ), ord_less_int( power_power_int( Z, Y ),
% 0.84/1.30 power_power_int( Z, X ) ) }.
% 0.84/1.30 { ! ord_less_real( plus_plus_real( X, X ), zero_zero_real ), ord_less_real
% 0.84/1.30 ( X, zero_zero_real ) }.
% 0.84/1.30 { ! ord_less_real( X, zero_zero_real ), ord_less_real( plus_plus_real( X, X
% 0.84/1.30 ), zero_zero_real ) }.
% 0.84/1.30 { ! ord_less_int( plus_plus_int( X, X ), zero_zero_int ), ord_less_int( X,
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_int( X, zero_zero_int ), ord_less_int( plus_plus_int( X, X ),
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { ! plus_plus_real( times_times_real( X, X ), times_times_real( Y, Y ) ) =
% 0.84/1.30 zero_zero_real, X = zero_zero_real }.
% 0.84/1.30 { ! plus_plus_real( times_times_real( X, X ), times_times_real( Y, Y ) ) =
% 0.84/1.30 zero_zero_real, Y = zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, ! Y = zero_zero_real, plus_plus_real(
% 0.84/1.30 times_times_real( X, X ), times_times_real( Y, Y ) ) = zero_zero_real }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! plus_plus_int( times_times_int( X, X ),
% 0.84/1.30 times_times_int( Y, Y ) ) = zero_zero_int, X = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! plus_plus_int( times_times_int( X, X ),
% 0.84/1.30 times_times_int( Y, Y ) ) = zero_zero_int, Y = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = zero_zero_int, ! Y = zero_zero_int,
% 0.84/1.30 plus_plus_int( times_times_int( X, X ), times_times_int( Y, Y ) ) =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { X = zero_zero_real, ! T = U, Y = Z, ! plus_plus_real( T, times_times_real
% 0.84/1.30 ( X, Y ) ) = plus_plus_real( U, times_times_real( X, Z ) ) }.
% 0.84/1.30 { X = zero_zero_nat, ! T = U, Y = Z, ! plus_plus_nat( T, times_times_nat( X
% 0.84/1.30 , Y ) ) = plus_plus_nat( U, times_times_nat( X, Z ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! is_int( Z ), Z = zero_zero_int, ! T = U,
% 0.84/1.30 X = Y, ! plus_plus_int( T, times_times_int( Z, X ) ) = plus_plus_int( U,
% 0.84/1.30 times_times_int( Z, Y ) ) }.
% 0.84/1.30 { ! zprime( X ), ! dvd_dvd_int( X, power_power_int( Y, Z ) ), dvd_dvd_int(
% 0.84/1.30 X, Y ) }.
% 0.84/1.30 { zero_zero_real = number267125858f_real( pls ) }.
% 0.84/1.30 { zero_zero_int = number_number_of_int( pls ) }.
% 0.84/1.30 { number267125858f_real( pls ) = zero_zero_real }.
% 0.84/1.30 { number_number_of_int( pls ) = zero_zero_int }.
% 0.84/1.30 { number267125858f_real( pls ) = zero_zero_real }.
% 0.84/1.30 { number_number_of_nat( pls ) = zero_zero_nat }.
% 0.84/1.30 { number_number_of_int( pls ) = zero_zero_int }.
% 0.84/1.30 { ! ord_less_int( bit1( X ), zero_zero_int ), ord_less_int( X,
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_int( X, zero_zero_int ), ord_less_int( bit1( X ),
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_int( pls, zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_int( bit0( X ), zero_zero_int ), ord_less_int( X,
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_int( X, zero_zero_int ), ord_less_int( bit0( X ),
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { zero_zero_int = number_number_of_int( pls ) }.
% 0.84/1.30 { ord_less_int( zero_zero_int, one_one_int ) }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, X ), ! ord_less_int( zero_zero_int,
% 0.84/1.30 times_times_int( X, Y ) ), ord_less_int( zero_zero_int, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ! ord_less_int( zero_zero_int, Z ), ord_less_int
% 0.84/1.30 ( times_times_int( Z, X ), times_times_int( Z, Y ) ) }.
% 0.84/1.30 { ! plus_plus_int( plus_plus_int( one_one_int, X ), X ) = zero_zero_int }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_real( X, one_one_real )
% 0.84/1.30 , ord_less_real( times_times_real( X, power_power_real( X, Y ) ),
% 0.84/1.30 power_power_real( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, X ), ! ord_less_nat( X, one_one_nat ),
% 0.84/1.30 ord_less_nat( times_times_nat( X, power_power_nat( X, Y ) ),
% 0.84/1.30 power_power_nat( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, X ), ! ord_less_int( X, one_one_int ),
% 0.84/1.30 ord_less_int( times_times_int( X, power_power_int( X, Y ) ),
% 0.84/1.30 power_power_int( X, Y ) ) }.
% 0.84/1.30 { ! zprime( X ), dvd_dvd_int( X, Y ), ! dvd_dvd_int( power_power_int( X, Z
% 0.84/1.30 ), times_times_int( Y, T ) ), dvd_dvd_int( power_power_int( X, Z ), T )
% 0.84/1.30 }.
% 0.84/1.30 { ! zprime( X ), dvd_dvd_int( X, Y ), ! dvd_dvd_int( power_power_int( X, Z
% 0.84/1.30 ), times_times_int( T, Y ) ), dvd_dvd_int( power_power_int( X, Z ), T )
% 0.84/1.30 }.
% 0.84/1.30 { ord_less_eq_real( zero_zero_real, plus_plus_real( times_times_real( X, X
% 0.84/1.30 ), times_times_real( Y, Y ) ) ) }.
% 0.84/1.30 { ord_less_eq_int( zero_zero_int, plus_plus_int( times_times_int( X, X ),
% 0.84/1.30 times_times_int( Y, Y ) ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( plus_plus_real( times_times_real( X, X ),
% 0.84/1.30 times_times_real( Y, Y ) ), zero_zero_real ), X = zero_zero_real }.
% 0.84/1.30 { ! ord_less_eq_real( plus_plus_real( times_times_real( X, X ),
% 0.84/1.30 times_times_real( Y, Y ) ), zero_zero_real ), Y = zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, ! Y = zero_zero_real, ord_less_eq_real(
% 0.84/1.30 plus_plus_real( times_times_real( X, X ), times_times_real( Y, Y ) ),
% 0.84/1.30 zero_zero_real ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( plus_plus_int(
% 0.84/1.30 times_times_int( X, X ), times_times_int( Y, Y ) ), zero_zero_int ), X =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( plus_plus_int(
% 0.84/1.30 times_times_int( X, X ), times_times_int( Y, Y ) ), zero_zero_int ), Y =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = zero_zero_int, ! Y = zero_zero_int,
% 0.84/1.30 ord_less_eq_int( plus_plus_int( times_times_int( X, X ), times_times_int
% 0.84/1.30 ( Y, Y ) ), zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_nat( number_number_of_nat( X ), number_number_of_nat( Y ) ),
% 0.84/1.30 alpha1( X, Y ) }.
% 0.84/1.30 { ! ord_less_nat( number_number_of_nat( X ), number_number_of_nat( Y ) ),
% 0.84/1.30 ord_less_int( X, Y ) }.
% 0.84/1.30 { ! alpha1( X, Y ), ! ord_less_int( X, Y ), ord_less_nat(
% 0.84/1.30 number_number_of_nat( X ), number_number_of_nat( Y ) ) }.
% 0.84/1.30 { ! alpha1( X, Y ), ! ord_less_int( X, Y ), ord_less_int( pls, Y ) }.
% 0.84/1.30 { ord_less_int( X, Y ), alpha1( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( pls, Y ), alpha1( X, Y ) }.
% 0.84/1.30 { ! ord_less_real( plus_plus_real( times_times_real( X, X ),
% 0.84/1.30 times_times_real( Y, Y ) ), zero_zero_real ) }.
% 0.84/1.30 { ! ord_less_int( plus_plus_int( times_times_int( X, X ), times_times_int(
% 0.84/1.30 Y, Y ) ), zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, plus_plus_real( times_times_real( X, X )
% 0.84/1.30 , times_times_real( Y, Y ) ) ), ! X = zero_zero_real, ! Y =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { X = zero_zero_real, ord_less_real( zero_zero_real, plus_plus_real(
% 0.84/1.30 times_times_real( X, X ), times_times_real( Y, Y ) ) ) }.
% 0.84/1.30 { Y = zero_zero_real, ord_less_real( zero_zero_real, plus_plus_real(
% 0.84/1.30 times_times_real( X, X ), times_times_real( Y, Y ) ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( zero_zero_int,
% 0.84/1.30 plus_plus_int( times_times_int( X, X ), times_times_int( Y, Y ) ) ), ! X
% 0.84/1.30 = zero_zero_int, ! Y = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), X = zero_zero_int, ord_less_int(
% 0.84/1.30 zero_zero_int, plus_plus_int( times_times_int( X, X ), times_times_int( Y
% 0.84/1.30 , Y ) ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), Y = zero_zero_int, ord_less_int(
% 0.84/1.30 zero_zero_int, plus_plus_int( times_times_int( X, X ), times_times_int( Y
% 0.84/1.30 , Y ) ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( number_number_of_nat( X ), number_number_of_nat( Y ) )
% 0.84/1.30 , ord_less_eq_int( X, Y ), ord_less_eq_int( X, pls ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, Y ), ord_less_eq_nat( number_number_of_nat( X ),
% 0.84/1.30 number_number_of_nat( Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, pls ), ord_less_eq_nat( number_number_of_nat( X ),
% 0.84/1.30 number_number_of_nat( Y ) ) }.
% 0.84/1.30 { number267125858f_real( bit0( X ) ) = plus_plus_real( plus_plus_real(
% 0.84/1.30 zero_zero_real, number267125858f_real( X ) ), number267125858f_real( X )
% 0.84/1.30 ) }.
% 0.84/1.30 { number_number_of_int( bit0( X ) ) = plus_plus_int( plus_plus_int(
% 0.84/1.30 zero_zero_int, number_number_of_int( X ) ), number_number_of_int( X ) ) }
% 0.84/1.30 .
% 0.84/1.30 { power_power_nat( X, one_one_nat ) = X }.
% 0.84/1.30 { power_power_real( X, one_one_nat ) = X }.
% 0.84/1.30 { ! is_int( X ), power_power_int( X, one_one_nat ) = X }.
% 0.84/1.30 { ! ord_less_eq_int( one_one_int, X ), ord_less_int( zero_zero_int, X ) }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, X ), ord_less_eq_int( one_one_int, X ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( zero_zero_int, Y ), !
% 0.84/1.30 times_times_int( Y, X ) = one_one_int, Y = one_one_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( zero_zero_int, Y ), !
% 0.84/1.30 times_times_int( Y, X ) = one_one_int, X = one_one_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( zero_zero_int, Y ), ! Y =
% 0.84/1.30 one_one_int, ! X = one_one_int, times_times_int( Y, X ) = one_one_int }.
% 0.84/1.30 { ! ord_less_int( plus_plus_int( plus_plus_int( one_one_int, X ), X ),
% 0.84/1.30 zero_zero_int ), ord_less_int( X, zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_int( X, zero_zero_int ), ord_less_int( plus_plus_int(
% 0.84/1.30 plus_plus_int( one_one_int, X ), X ), zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, number267125858f_real( X ) ),
% 0.84/1.30 ord_less_int( pls, X ) }.
% 0.84/1.30 { ! ord_less_int( pls, X ), ord_less_real( zero_zero_real,
% 0.84/1.30 number267125858f_real( X ) ) }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, number_number_of_int( X ) ), ord_less_int
% 0.84/1.30 ( pls, X ) }.
% 0.84/1.30 { ! ord_less_int( pls, X ), ord_less_int( zero_zero_int,
% 0.84/1.30 number_number_of_int( X ) ) }.
% 0.84/1.30 { ! ord_less_real( number267125858f_real( X ), zero_zero_real ),
% 0.84/1.30 ord_less_int( X, pls ) }.
% 0.84/1.30 { ! ord_less_int( X, pls ), ord_less_real( number267125858f_real( X ),
% 0.84/1.30 zero_zero_real ) }.
% 0.84/1.30 { ! ord_less_int( number_number_of_int( X ), zero_zero_int ), ord_less_int
% 0.84/1.30 ( X, pls ) }.
% 0.84/1.30 { ! ord_less_int( X, pls ), ord_less_int( number_number_of_int( X ),
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_eq_real( zero_zero_real, number267125858f_real( X ) ),
% 0.84/1.30 ord_less_eq_int( pls, X ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ord_less_eq_real( zero_zero_real,
% 0.84/1.30 number267125858f_real( X ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( zero_zero_int, number_number_of_int( X ) ),
% 0.84/1.30 ord_less_eq_int( pls, X ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, X ), ord_less_eq_int( zero_zero_int,
% 0.84/1.30 number_number_of_int( X ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( number267125858f_real( X ), zero_zero_real ),
% 0.84/1.30 ord_less_eq_int( X, pls ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, pls ), ord_less_eq_real( number267125858f_real( X )
% 0.84/1.30 , zero_zero_real ) }.
% 0.84/1.30 { ! ord_less_eq_int( number_number_of_int( X ), zero_zero_int ),
% 0.84/1.30 ord_less_eq_int( X, pls ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, pls ), ord_less_eq_int( number_number_of_int( X ),
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_eq_int( zero_zero_int, X ), ord_less_int( zero_zero_int,
% 0.84/1.30 plus_plus_int( one_one_int, X ) ) }.
% 0.84/1.30 { power_power_real( zero_zero_real, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) = zero_zero_real }.
% 0.84/1.30 { power_power_nat( zero_zero_nat, number_number_of_nat( bit0( bit1( pls ) )
% 0.84/1.30 ) ) = zero_zero_nat }.
% 0.84/1.30 { power_power_int( zero_zero_int, number_number_of_nat( bit0( bit1( pls ) )
% 0.84/1.30 ) ) = zero_zero_int }.
% 0.84/1.30 { ! power_power_real( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 zero_zero_real, X = zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, power_power_real( X, number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) = zero_zero_real }.
% 0.84/1.30 { ! is_int( X ), ! power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ) = zero_zero_int, X = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! X = zero_zero_int, power_power_int( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) = zero_zero_int }.
% 0.84/1.30 { ord_less_eq_real( zero_zero_real, power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) }.
% 0.84/1.30 { ord_less_eq_int( zero_zero_int, power_power_int( X, number_number_of_nat
% 0.84/1.30 ( bit0( bit1( pls ) ) ) ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( power_power_real( X, number_number_of_nat( bit0( bit1
% 0.84/1.30 ( pls ) ) ) ), power_power_real( Y, number_number_of_nat( bit0( bit1( pls
% 0.84/1.30 ) ) ) ) ), ! ord_less_eq_real( zero_zero_real, Y ), ord_less_eq_real( X
% 0.84/1.30 , Y ) }.
% 0.84/1.30 { ! ord_less_eq_nat( power_power_nat( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_nat( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ), ! ord_less_eq_nat( zero_zero_nat, Y ), ord_less_eq_nat( X, Y )
% 0.84/1.30 }.
% 0.84/1.30 { ! ord_less_eq_int( power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ), ! ord_less_eq_int( zero_zero_int, Y ), ord_less_eq_int( X, Y )
% 0.84/1.30 }.
% 0.84/1.30 { ! power_power_real( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 power_power_real( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ), !
% 0.84/1.30 ord_less_eq_real( zero_zero_real, X ), ! ord_less_eq_real( zero_zero_real
% 0.84/1.30 , Y ), X = Y }.
% 0.84/1.30 { ! power_power_nat( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.84/1.30 power_power_nat( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ), !
% 0.84/1.30 ord_less_eq_nat( zero_zero_nat, X ), ! ord_less_eq_nat( zero_zero_nat, Y
% 0.84/1.30 ), X = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! power_power_int( X, number_number_of_nat
% 0.84/1.30 ( bit0( bit1( pls ) ) ) ) = power_power_int( Y, number_number_of_nat(
% 0.84/1.30 bit0( bit1( pls ) ) ) ), ! ord_less_eq_int( zero_zero_int, X ), !
% 0.84/1.30 ord_less_eq_int( zero_zero_int, Y ), X = Y }.
% 0.84/1.30 { ! ord_less_real( power_power_real( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), zero_zero_real ) }.
% 0.84/1.30 { ! ord_less_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 0.84/1.30 ) ) ) ), zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), ! X = zero_zero_real }.
% 0.84/1.30 { X = zero_zero_real, ord_less_real( zero_zero_real, power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) }.
% 0.84/1.30 { ! is_int( X ), ! ord_less_int( zero_zero_int, power_power_int( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), ! X = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), X = zero_zero_int, ord_less_int( zero_zero_int,
% 0.84/1.30 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) }.
% 0.84/1.30 { ! plus_plus_real( power_power_real( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_real( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ) = zero_zero_real, X = zero_zero_real }.
% 0.84/1.30 { ! plus_plus_real( power_power_real( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_real( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ) = zero_zero_real, Y = zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, ! Y = zero_zero_real, plus_plus_real(
% 0.84/1.30 power_power_real( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 power_power_real( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! plus_plus_int( power_power_int( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = zero_zero_int, X =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! plus_plus_int( power_power_int( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = zero_zero_int, Y =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = zero_zero_int, ! Y = zero_zero_int,
% 0.84/1.30 plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 0.84/1.30 ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.84/1.30 ) ) = zero_zero_int }.
% 0.84/1.30 { times_times_nat( power_power_nat( X, Y ), X ) = times_times_nat( X,
% 0.84/1.30 power_power_nat( X, Y ) ) }.
% 0.84/1.30 { times_times_real( power_power_real( X, Y ), X ) = times_times_real( X,
% 0.84/1.30 power_power_real( X, Y ) ) }.
% 0.84/1.30 { times_times_int( power_power_int( X, Y ), X ) = times_times_int( X,
% 0.84/1.30 power_power_int( X, Y ) ) }.
% 0.84/1.30 { power_power_nat( times_times_nat( X, Y ), Z ) = times_times_nat(
% 0.84/1.30 power_power_nat( X, Z ), power_power_nat( Y, Z ) ) }.
% 0.84/1.30 { power_power_real( times_times_real( X, Y ), Z ) = times_times_real(
% 0.84/1.30 power_power_real( X, Z ), power_power_real( Y, Z ) ) }.
% 0.84/1.30 { power_power_int( times_times_int( X, Y ), Z ) = times_times_int(
% 0.84/1.30 power_power_int( X, Z ), power_power_int( Y, Z ) ) }.
% 0.84/1.30 { power_power_nat( X, plus_plus_nat( Y, Z ) ) = times_times_nat(
% 0.84/1.30 power_power_nat( X, Y ), power_power_nat( X, Z ) ) }.
% 0.84/1.30 { power_power_real( X, plus_plus_nat( Y, Z ) ) = times_times_real(
% 0.84/1.30 power_power_real( X, Y ), power_power_real( X, Z ) ) }.
% 0.84/1.30 { power_power_int( X, plus_plus_nat( Y, Z ) ) = times_times_int(
% 0.84/1.30 power_power_int( X, Y ), power_power_int( X, Z ) ) }.
% 0.84/1.30 { power_power_real( one_one_real, X ) = one_one_real }.
% 0.84/1.30 { power_power_nat( one_one_nat, X ) = one_one_nat }.
% 0.84/1.30 { power_power_int( one_one_int, X ) = one_one_int }.
% 0.84/1.30 { power_power_nat( X, times_times_nat( Y, Z ) ) = power_power_nat(
% 0.84/1.30 power_power_nat( X, Y ), Z ) }.
% 0.84/1.30 { power_power_real( X, times_times_nat( Y, Z ) ) = power_power_real(
% 0.84/1.30 power_power_real( X, Y ), Z ) }.
% 0.84/1.30 { power_power_int( X, times_times_nat( Y, Z ) ) = power_power_int(
% 0.84/1.30 power_power_int( X, Y ), Z ) }.
% 0.84/1.30 { ! ord_less_real( power_power_real( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_real( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ), ! ord_less_eq_real( zero_zero_real, Y ), ord_less_real( X, Y )
% 0.84/1.30 }.
% 0.84/1.30 { ! ord_less_nat( power_power_nat( X, number_number_of_nat( bit0( bit1( pls
% 0.84/1.30 ) ) ) ), power_power_nat( Y, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.84/1.30 ) ), ! ord_less_eq_nat( zero_zero_nat, Y ), ord_less_nat( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 0.84/1.30 ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.84/1.30 ) ), ! ord_less_eq_int( zero_zero_int, Y ), ord_less_int( X, Y ) }.
% 0.84/1.30 { ord_less_eq_real( zero_zero_real, plus_plus_real( power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_real( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ) }.
% 0.84/1.30 { ord_less_eq_int( zero_zero_int, plus_plus_int( power_power_int( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( plus_plus_real( power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_real( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), zero_zero_real ), X =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { ! ord_less_eq_real( plus_plus_real( power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_real( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), zero_zero_real ), Y =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, ! Y = zero_zero_real, ord_less_eq_real(
% 0.84/1.30 plus_plus_real( power_power_real( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_real( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ), zero_zero_real ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( plus_plus_int(
% 0.84/1.30 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ),
% 0.84/1.30 zero_zero_int ), X = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( plus_plus_int(
% 0.84/1.30 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ),
% 0.84/1.30 zero_zero_int ), Y = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = zero_zero_int, ! Y = zero_zero_int,
% 0.84/1.30 ord_less_eq_int( plus_plus_int( power_power_int( X, number_number_of_nat
% 0.84/1.30 ( bit0( bit1( pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0
% 0.84/1.30 ( bit1( pls ) ) ) ) ), zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_real( plus_plus_real( power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_real( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), zero_zero_real ) }.
% 0.84/1.30 { ! ord_less_int( plus_plus_int( power_power_int( X, number_number_of_nat(
% 0.84/1.30 bit0( bit1( pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) ), zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, plus_plus_real( power_power_real( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_real( Y,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ), ! X = zero_zero_real,
% 0.84/1.30 ! Y = zero_zero_real }.
% 0.84/1.30 { X = zero_zero_real, ord_less_real( zero_zero_real, plus_plus_real(
% 0.84/1.30 power_power_real( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 power_power_real( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ) }
% 0.84/1.30 .
% 0.84/1.30 { Y = zero_zero_real, ord_less_real( zero_zero_real, plus_plus_real(
% 0.84/1.30 power_power_real( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 power_power_real( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( zero_zero_int,
% 0.84/1.30 plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 0.84/1.30 ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.84/1.30 ) ) ), ! X = zero_zero_int, ! Y = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), X = zero_zero_int, ord_less_int(
% 0.84/1.30 zero_zero_int, plus_plus_int( power_power_int( X, number_number_of_nat(
% 0.84/1.30 bit0( bit1( pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), Y = zero_zero_int, ord_less_int(
% 0.84/1.30 zero_zero_int, plus_plus_int( power_power_int( X, number_number_of_nat(
% 0.84/1.30 bit0( bit1( pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) ) ) }.
% 0.84/1.30 { ord_less_eq_real( zero_zero_real, power_power_real( X, times_times_nat(
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ), Y ) ) ) }.
% 0.84/1.30 { ord_less_eq_int( zero_zero_int, power_power_int( X, times_times_nat(
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ), Y ) ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( one_one_real, X ), ord_less_eq_real( one_one_real,
% 0.84/1.30 power_power_real( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( one_one_nat, X ), ord_less_eq_nat( one_one_nat,
% 0.84/1.30 power_power_nat( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( one_one_int, X ), ord_less_eq_int( one_one_int,
% 0.84/1.30 power_power_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), ! ord_less_eq_real( one_one_real, Z ),
% 0.84/1.30 ord_less_eq_real( power_power_real( Z, X ), power_power_real( Z, Y ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), ! ord_less_eq_nat( one_one_nat, Z ),
% 0.84/1.30 ord_less_eq_nat( power_power_nat( Z, X ), power_power_nat( Z, Y ) ) }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), ! ord_less_eq_int( one_one_int, Z ),
% 0.84/1.30 ord_less_eq_int( power_power_int( Z, X ), power_power_int( Z, Y ) ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! power_power_real( X, Y ) =
% 0.84/1.30 power_power_real( X, Z ), Y = Z }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! Y = Z, power_power_real( X, Y ) =
% 0.84/1.30 power_power_real( X, Z ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! power_power_nat( X, Y ) =
% 0.84/1.30 power_power_nat( X, Z ), Y = Z }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! Y = Z, power_power_nat( X, Y ) =
% 0.84/1.30 power_power_nat( X, Z ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! power_power_int( X, Y ) =
% 0.84/1.30 power_power_int( X, Z ), Y = Z }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! Y = Z, power_power_int( X, Y ) =
% 0.84/1.30 power_power_int( X, Z ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! ord_less_real( power_power_real( X
% 0.84/1.30 , Y ), power_power_real( X, Z ) ), ord_less_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! ord_less_nat( Y, Z ), ord_less_real
% 0.84/1.30 ( power_power_real( X, Y ), power_power_real( X, Z ) ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! ord_less_nat( power_power_nat( X, Y )
% 0.84/1.30 , power_power_nat( X, Z ) ), ord_less_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! ord_less_nat( Y, Z ), ord_less_nat(
% 0.84/1.30 power_power_nat( X, Y ), power_power_nat( X, Z ) ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! ord_less_int( power_power_int( X, Y )
% 0.84/1.30 , power_power_int( X, Z ) ), ord_less_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! ord_less_nat( Y, Z ), ord_less_int(
% 0.84/1.30 power_power_int( X, Y ), power_power_int( X, Z ) ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! ord_less_real( power_power_real( X
% 0.84/1.30 , Y ), power_power_real( X, Z ) ), ord_less_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! ord_less_nat( power_power_nat( X, Y )
% 0.84/1.30 , power_power_nat( X, Z ) ), ord_less_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! ord_less_int( power_power_int( X, Y )
% 0.84/1.30 , power_power_int( X, Z ) ), ord_less_nat( Y, Z ) }.
% 0.84/1.30 { ! ord_less_nat( X, Y ), ! ord_less_real( one_one_real, Z ), ord_less_real
% 0.84/1.30 ( power_power_real( Z, X ), power_power_real( Z, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( X, Y ), ! ord_less_nat( one_one_nat, Z ), ord_less_nat(
% 0.84/1.30 power_power_nat( Z, X ), power_power_nat( Z, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( X, Y ), ! ord_less_int( one_one_int, Z ), ord_less_int(
% 0.84/1.30 power_power_int( Z, X ), power_power_int( Z, Y ) ) }.
% 0.84/1.30 { zcong( power_power_int( s, number_number_of_nat( bit0( bit1( pls ) ) ) )
% 0.84/1.30 , number_number_of_int( min ), plus_plus_int( times_times_int(
% 0.84/1.30 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) )
% 0.84/1.30 }.
% 0.84/1.30 { zcong( X, zero_zero_int, Y ), ! zcong( power_power_int( Z,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), X, Y ), ! dvd_dvd_int( Y,
% 0.84/1.30 Z ) }.
% 0.84/1.30 { ! is_int( X ), ! ord_less_eq_int( zero_zero_int, X ), ! ord_less_int( X,
% 0.84/1.30 number_number_of_int( bit0( bit1( pls ) ) ) ), X = zero_zero_int, X =
% 0.84/1.30 one_one_int }.
% 0.84/1.30 { ! ord_less_eq_real( power_power_real( X, times_times_nat(
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ), Y ) ), zero_zero_real ), X =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { ! is_int( X ), ! ord_less_eq_int( power_power_int( X, times_times_nat(
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ), Y ) ), zero_zero_int ), X =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! zprime( X ), ord_less_int( one_one_int, X ) }.
% 0.84/1.30 { ! is_int( X ), ! zprime( X ), alpha2( X ) }.
% 0.84/1.30 { ! is_int( X ), ! ord_less_int( one_one_int, X ), ! alpha2( X ), zprime( X
% 0.84/1.30 ) }.
% 0.84/1.30 { ! alpha2( X ), ! is_int( Y ), alpha4( X, Y ) }.
% 0.84/1.30 { is_int( skol6( Y ) ), alpha2( X ) }.
% 0.84/1.30 { ! alpha4( X, skol6( X ) ), alpha2( X ) }.
% 0.84/1.30 { ! alpha4( X, Y ), ! alpha6( X, Y ), alpha7( X, Y ) }.
% 0.84/1.30 { alpha6( X, Y ), alpha4( X, Y ) }.
% 0.84/1.30 { ! alpha7( X, Y ), alpha4( X, Y ) }.
% 0.84/1.30 { ! alpha7( X, Y ), Y = one_one_int, Y = X }.
% 0.84/1.30 { ! Y = one_one_int, alpha7( X, Y ) }.
% 0.84/1.30 { ! Y = X, alpha7( X, Y ) }.
% 0.84/1.30 { ! alpha6( X, Y ), ord_less_eq_int( zero_zero_int, Y ) }.
% 0.84/1.30 { ! alpha6( X, Y ), dvd_dvd_int( Y, X ) }.
% 0.84/1.30 { ! ord_less_eq_int( zero_zero_int, Y ), ! dvd_dvd_int( Y, X ), alpha6( X,
% 0.84/1.30 Y ) }.
% 0.84/1.30 { is_int( skol7 ) }.
% 0.84/1.30 { zcong( power_power_int( skol7, number_number_of_nat( bit0( bit1( pls ) )
% 0.84/1.30 ) ), number_number_of_int( min ), plus_plus_int( times_times_int(
% 0.84/1.30 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) )
% 0.84/1.30 }.
% 0.84/1.30 { legendre( number_number_of_int( min ), plus_plus_int( times_times_int(
% 0.84/1.30 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) )
% 0.84/1.30 = one_one_int }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, power_power_nat( X, Y ) ), ord_less_nat(
% 0.84/1.30 zero_zero_nat, X ), Y = zero_zero_nat }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, X ), ord_less_nat( zero_zero_nat,
% 0.84/1.30 power_power_nat( X, Y ) ) }.
% 0.84/1.30 { ! Y = zero_zero_nat, ord_less_nat( zero_zero_nat, power_power_nat( X, Y )
% 0.84/1.30 ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, power_power_nat( X, Y ) ), Y =
% 0.84/1.30 zero_zero_nat, ord_less_nat( zero_zero_nat, X ) }.
% 0.84/1.30 { ! Y = zero_zero_nat, ord_less_nat( zero_zero_nat, power_power_nat( X, Y )
% 0.84/1.30 ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, X ), ord_less_nat( zero_zero_nat,
% 0.84/1.30 power_power_nat( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, power_power_nat( X, number_number_of_nat(
% 0.84/1.30 Y ) ) ), number_number_of_nat( Y ) = zero_zero_nat, ord_less_nat(
% 0.84/1.30 zero_zero_nat, X ) }.
% 0.84/1.30 { ! number_number_of_nat( Y ) = zero_zero_nat, ord_less_nat( zero_zero_nat
% 0.84/1.30 , power_power_nat( X, number_number_of_nat( Y ) ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, X ), ord_less_nat( zero_zero_nat,
% 0.84/1.30 power_power_nat( X, number_number_of_nat( Y ) ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, X ), ! ord_less_nat( power_power_nat( X, Y
% 0.84/1.30 ), power_power_nat( X, Z ) ), ord_less_nat( Y, Z ) }.
% 0.84/1.30 { ! is_int( X ), ! bit1( X ) = min, X = min }.
% 0.84/1.30 { ! is_int( X ), ! X = min, bit1( X ) = min }.
% 0.84/1.30 { ! is_int( X ), ! min = bit1( X ), min = X }.
% 0.84/1.30 { ! is_int( X ), ! min = X, min = bit1( X ) }.
% 0.84/1.30 { bit1( min ) = min }.
% 0.84/1.30 { ! pls = min }.
% 0.84/1.30 { ! min = pls }.
% 0.84/1.30 { ! bit0( X ) = min }.
% 0.84/1.30 { ! min = bit0( X ) }.
% 0.84/1.30 { ! ord_less_int( min, min ) }.
% 0.84/1.30 { ord_less_eq_int( min, min ) }.
% 0.84/1.30 { ord_less_real( zero_zero_real, times_times_real( X, X ) ), X =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, ! ord_less_real( zero_zero_real, times_times_real(
% 0.84/1.30 X, X ) ) }.
% 0.84/1.30 { ! ord_less_int( bit1( X ), min ), ord_less_int( X, min ) }.
% 0.84/1.30 { ! ord_less_int( X, min ), ord_less_int( bit1( X ), min ) }.
% 0.84/1.30 { ! ord_less_int( min, bit1( X ) ), ord_less_int( min, X ) }.
% 0.84/1.30 { ! ord_less_int( min, X ), ord_less_int( min, bit1( X ) ) }.
% 0.84/1.30 { ! ord_less_int( pls, min ) }.
% 0.84/1.30 { ord_less_int( min, pls ) }.
% 0.84/1.30 { ! ord_less_int( min, bit0( X ) ), ord_less_int( min, X ) }.
% 0.84/1.30 { ! ord_less_int( min, X ), ord_less_int( min, bit0( X ) ) }.
% 0.84/1.30 { ord_less_int( min, zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit1( X ), min ), ord_less_eq_int( X, min ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, min ), ord_less_eq_int( bit1( X ), min ) }.
% 0.84/1.30 { ! ord_less_eq_int( min, bit1( X ) ), ord_less_eq_int( min, X ) }.
% 0.84/1.30 { ! ord_less_eq_int( min, X ), ord_less_eq_int( min, bit1( X ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( pls, min ) }.
% 0.84/1.30 { ord_less_eq_int( min, pls ) }.
% 0.84/1.30 { ! ord_less_eq_int( bit0( X ), min ), ord_less_eq_int( X, min ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, min ), ord_less_eq_int( bit0( X ), min ) }.
% 0.84/1.30 { ! number_number_of_int( pls ) = number_number_of_int( min ) }.
% 0.84/1.30 { ! dvd_dvd_nat( power_power_nat( X, Y ), power_power_nat( X, Z ) ), !
% 0.84/1.30 ord_less_nat( one_one_nat, X ), ord_less_eq_nat( Y, Z ) }.
% 0.84/1.30 { power_power_real( X, zero_zero_nat ) = one_one_real }.
% 0.84/1.30 { power_power_nat( X, zero_zero_nat ) = one_one_nat }.
% 0.84/1.30 { power_power_int( X, zero_zero_nat ) = one_one_int }.
% 0.84/1.30 { power_power_real( X, zero_zero_nat ) = one_one_real }.
% 0.84/1.30 { power_power_nat( X, zero_zero_nat ) = one_one_nat }.
% 0.84/1.30 { power_power_int( X, zero_zero_nat ) = one_one_int }.
% 0.84/1.30 { number_number_of_nat( pls ) = zero_zero_nat }.
% 0.84/1.30 { zero_zero_nat = number_number_of_nat( pls ) }.
% 0.84/1.30 { ! ord_less_eq_int( min, bit0( X ) ), ord_less_int( min, X ) }.
% 0.84/1.30 { ! ord_less_int( min, X ), ord_less_eq_int( min, bit0( X ) ) }.
% 0.84/1.30 { ! ord_less_int( bit0( X ), min ), ord_less_eq_int( X, min ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, min ), ord_less_int( bit0( X ), min ) }.
% 0.84/1.30 { ! is_int( X ), ! times_times_int( X, Y ) = one_one_int, X = one_one_int,
% 0.84/1.30 X = number_number_of_int( min ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! times_times_int( X, Y ) = one_one_int,
% 0.84/1.30 alpha3( X, Y ), alpha5( X, Y ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! alpha3( X, Y ), times_times_int( X, Y ) =
% 0.84/1.30 one_one_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! alpha5( X, Y ), times_times_int( X, Y ) =
% 0.84/1.30 one_one_int }.
% 0.84/1.30 { ! alpha5( X, Y ), X = number_number_of_int( min ) }.
% 0.84/1.30 { ! alpha5( X, Y ), Y = number_number_of_int( min ) }.
% 0.84/1.30 { ! X = number_number_of_int( min ), ! Y = number_number_of_int( min ),
% 0.84/1.30 alpha5( X, Y ) }.
% 0.84/1.30 { ! alpha3( X, Y ), X = one_one_int }.
% 0.84/1.30 { ! alpha3( X, Y ), Y = one_one_int }.
% 0.84/1.30 { ! X = one_one_int, ! Y = one_one_int, alpha3( X, Y ) }.
% 0.84/1.30 { ! ord_less_real( one_one_real, X ), ! ord_less_nat( zero_zero_nat, Y ),
% 0.84/1.30 ord_less_real( one_one_real, power_power_real( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( one_one_nat, X ), ! ord_less_nat( zero_zero_nat, Y ),
% 0.84/1.30 ord_less_nat( one_one_nat, power_power_nat( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_int( one_one_int, X ), ! ord_less_nat( zero_zero_nat, Y ),
% 0.84/1.30 ord_less_int( one_one_int, power_power_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, Y ), dvd_dvd_nat( X, power_power_nat( X, Y
% 0.84/1.30 ) ) }.
% 0.84/1.30 { ! X = one_one_nat, dvd_dvd_nat( X, power_power_nat( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, Y ), dvd_dvd_int( X, power_power_int( X, Y
% 0.84/1.30 ) ) }.
% 0.84/1.30 { ! X = one_one_int, dvd_dvd_int( X, power_power_int( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, Y ), dvd_dvd_real( X, power_power_real( X
% 0.84/1.30 , Y ) ) }.
% 0.84/1.30 { ! X = one_one_real, dvd_dvd_real( X, power_power_real( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, number_number_of_nat( X ) ), ord_less_int
% 0.84/1.30 ( pls, X ) }.
% 0.84/1.30 { ! ord_less_int( pls, X ), ord_less_nat( zero_zero_nat,
% 0.84/1.30 number_number_of_nat( X ) ) }.
% 0.84/1.30 { ! number_number_of_nat( X ) = zero_zero_nat, ord_less_eq_int( X, pls ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_eq_int( X, pls ), number_number_of_nat( X ) = zero_zero_nat }
% 0.84/1.30 .
% 0.84/1.30 { ! zero_zero_nat = number_number_of_nat( X ), ord_less_eq_int( X, pls ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_eq_int( X, pls ), zero_zero_nat = number_number_of_nat( X ) }
% 0.84/1.30 .
% 0.84/1.30 { ! zcong( X, Y, Z ), zcong( Y, X, Z ) }.
% 0.84/1.30 { ! zcong( Y, X, Z ), zcong( X, Y, Z ) }.
% 0.84/1.30 { zcong( X, X, Y ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), ! zcong( Y, T, Z ), zcong( X, T, Z ) }.
% 0.84/1.30 { ord_less_nat( zero_zero_nat, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.84/1.30 ) }.
% 0.84/1.30 { ! ord_less_int( Z, pls ), times_times_nat( number_number_of_nat( Z ),
% 0.84/1.30 times_times_nat( number_number_of_nat( X ), Y ) ) = zero_zero_nat }.
% 0.84/1.30 { ord_less_int( Z, pls ), times_times_nat( number_number_of_nat( Z ),
% 0.84/1.30 times_times_nat( number_number_of_nat( X ), Y ) ) = times_times_nat(
% 0.84/1.30 number_number_of_nat( times_times_int( Z, X ) ), Y ) }.
% 0.84/1.30 { ! ord_less_int( Y, pls ), times_times_nat( number_number_of_nat( Y ),
% 0.84/1.30 number_number_of_nat( X ) ) = zero_zero_nat }.
% 0.84/1.30 { ord_less_int( Y, pls ), times_times_nat( number_number_of_nat( Y ),
% 0.84/1.30 number_number_of_nat( X ) ) = number_number_of_nat( times_times_int( Y, X
% 0.84/1.30 ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( X, Y ), X = Y, ord_less_real( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_nat( X, Y ), X = Y, ord_less_nat( X, Y ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( X, Y ), X = Y,
% 0.84/1.30 ord_less_int( X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ! ord_less_int( Z, Y ), ord_less_eq_int( X, Z ),
% 0.84/1.30 ord_less_eq_int( Z, X ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! zcong( X, Y, zero_zero_int ), X = Y }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! X = Y, zcong( X, Y, zero_zero_int ) }.
% 0.84/1.30 { zcong( X, Y, one_one_int ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( times_times_int( X, T ),
% 0.84/1.30 times_times_int( Y, U ), Z ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), zcong( times_times_int( T, X ), times_times_int( T, Y
% 0.84/1.30 ), Z ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), zcong( times_times_int( X, T ), times_times_int( Y, T
% 0.84/1.30 ), Z ) }.
% 0.84/1.30 { zcong( times_times_int( X, Y ), times_times_int( Z, Y ), Y ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( plus_plus_int( X, T ),
% 0.84/1.30 plus_plus_int( Y, U ), Z ) }.
% 0.84/1.30 { power_power_real( number267125858f_real( min ), times_times_nat(
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ), X ) ) = one_one_real }.
% 0.84/1.30 { power_power_int( number_number_of_int( min ), times_times_nat(
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ), X ) ) = one_one_int }.
% 0.84/1.30 { ! power_power_real( X, number_number_of_nat( Y ) ) = zero_zero_real, X =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { ! power_power_real( X, number_number_of_nat( Y ) ) = zero_zero_real, !
% 0.84/1.30 number_number_of_nat( Y ) = zero_zero_nat }.
% 0.84/1.30 { ! X = zero_zero_real, number_number_of_nat( Y ) = zero_zero_nat,
% 0.84/1.30 power_power_real( X, number_number_of_nat( Y ) ) = zero_zero_real }.
% 0.84/1.30 { ! power_power_nat( X, number_number_of_nat( Y ) ) = zero_zero_nat, X =
% 0.84/1.30 zero_zero_nat }.
% 0.84/1.30 { ! power_power_nat( X, number_number_of_nat( Y ) ) = zero_zero_nat, !
% 0.84/1.30 number_number_of_nat( Y ) = zero_zero_nat }.
% 0.84/1.30 { ! X = zero_zero_nat, number_number_of_nat( Y ) = zero_zero_nat,
% 0.84/1.30 power_power_nat( X, number_number_of_nat( Y ) ) = zero_zero_nat }.
% 0.84/1.30 { ! is_int( X ), ! power_power_int( X, number_number_of_nat( Y ) ) =
% 0.84/1.30 zero_zero_int, X = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! power_power_int( X, number_number_of_nat( Y ) ) =
% 0.84/1.30 zero_zero_int, ! number_number_of_nat( Y ) = zero_zero_nat }.
% 0.84/1.30 { ! is_int( X ), ! X = zero_zero_int, number_number_of_nat( Y ) =
% 0.84/1.30 zero_zero_nat, power_power_int( X, number_number_of_nat( Y ) ) =
% 0.84/1.30 zero_zero_int }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, X ), ! ord_less_int( X, Y ), !
% 0.84/1.30 ord_less_int( zero_zero_int, Z ), ! ord_less_int( Z, X ), ! zcong( X, Z,
% 0.84/1.30 Y ) }.
% 0.84/1.30 { ! is_int( X ), ! zcong( Y, X, Z ), is_int( skol8( T, U, W ) ) }.
% 0.84/1.30 { ! is_int( X ), ! zcong( Y, X, Z ), X = plus_plus_int( Y, times_times_int
% 0.84/1.30 ( Z, skol8( X, Y, Z ) ) ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( T ), ! X = plus_plus_int( Y, times_times_int( Z
% 0.84/1.30 , T ) ), zcong( Y, X, Z ) }.
% 0.84/1.30 { ! number_number_of_nat( X ) = zero_zero_nat, power_power_real(
% 0.84/1.30 zero_zero_real, number_number_of_nat( X ) ) = one_one_real }.
% 0.84/1.30 { number_number_of_nat( X ) = zero_zero_nat, power_power_real(
% 0.84/1.30 zero_zero_real, number_number_of_nat( X ) ) = zero_zero_real }.
% 0.84/1.30 { ! number_number_of_nat( X ) = zero_zero_nat, power_power_nat(
% 0.84/1.30 zero_zero_nat, number_number_of_nat( X ) ) = one_one_nat }.
% 0.84/1.30 { number_number_of_nat( X ) = zero_zero_nat, power_power_nat( zero_zero_nat
% 0.84/1.30 , number_number_of_nat( X ) ) = zero_zero_nat }.
% 0.84/1.30 { ! number_number_of_nat( X ) = zero_zero_nat, power_power_int(
% 0.84/1.30 zero_zero_int, number_number_of_nat( X ) ) = one_one_int }.
% 0.84/1.30 { number_number_of_nat( X ) = zero_zero_nat, power_power_int( zero_zero_int
% 0.84/1.30 , number_number_of_nat( X ) ) = zero_zero_int }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_eq_int( zero_zero_int, Y ), !
% 0.84/1.30 ord_less_int( Y, Z ), ! ord_less_eq_int( zero_zero_int, X ), !
% 0.84/1.30 ord_less_int( X, Z ), ! zcong( Y, X, Z ), Y = X }.
% 0.84/1.30 { ! is_int( X ), ! ord_less_eq_int( zero_zero_int, X ), ! ord_less_int( X,
% 0.84/1.30 Y ), ! zcong( X, zero_zero_int, Y ), X = zero_zero_int }.
% 0.84/1.30 { ! ord_less_eq_int( zero_zero_int, X ), ! zprime( Y ), ! dvd_dvd_int( Y,
% 0.84/1.30 times_times_int( X, Z ) ), dvd_dvd_int( Y, X ), dvd_dvd_int( Y, Z ) }.
% 0.84/1.30 { quadRes( plus_plus_int( times_times_int( number_number_of_int( bit0( bit0
% 0.84/1.30 ( bit1( pls ) ) ) ), m ), one_one_int ), number_number_of_int( min ) ) }
% 0.84/1.30 .
% 0.84/1.30 { dvd_dvd_int( plus_plus_int( times_times_int( number_number_of_int( bit0(
% 0.84/1.30 bit0( bit1( pls ) ) ) ), m ), one_one_int ), minus_minus_int(
% 0.84/1.30 power_power_int( s, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 number_number_of_int( min ) ) ) }.
% 0.84/1.30 { ! ord_less_int( number_number_of_int( bit0( bit1( pls ) ) ), X ), ! zcong
% 0.84/1.30 ( power_power_int( number_number_of_int( min ), Y ), power_power_int(
% 0.84/1.30 number_number_of_int( min ), Z ), X ), power_power_int(
% 0.84/1.30 number_number_of_int( min ), Y ) = power_power_int( number_number_of_int
% 0.84/1.30 ( min ), Z ) }.
% 0.84/1.30 { minus_minus_int( power_power_int( s, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), number_number_of_int( min ) ) = plus_plus_int(
% 0.84/1.30 power_power_int( s, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 one_one_int ) }.
% 0.84/1.30 { quadRes( plus_plus_int( times_times_int( number_number_of_int( bit0( bit0
% 0.84/1.30 ( bit1( pls ) ) ) ), m ), one_one_int ), number_number_of_int( min ) ), !
% 0.84/1.30 legendre( number_number_of_int( min ), plus_plus_int( times_times_int(
% 0.84/1.30 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) )
% 0.84/1.30 = one_one_int }.
% 0.84/1.30 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( minus_minus_int( X, T ),
% 0.84/1.30 minus_minus_int( Y, U ), Z ) }.
% 0.84/1.30 { ! is_int( X ), minus_minus_int( X, pls ) = X }.
% 0.84/1.30 { minus_minus_int( bit0( X ), bit0( Y ) ) = bit0( minus_minus_int( X, Y ) )
% 0.84/1.30 }.
% 0.84/1.30 { times_times_int( minus_minus_int( X, Y ), Z ) = minus_minus_int(
% 0.84/1.30 times_times_int( X, Z ), times_times_int( Y, Z ) ) }.
% 0.84/1.30 { times_times_int( X, minus_minus_int( Y, Z ) ) = minus_minus_int(
% 0.84/1.30 times_times_int( X, Y ), times_times_int( X, Z ) ) }.
% 0.84/1.30 { ! dvd_dvd_int( X, minus_minus_int( Y, Z ) ), ! dvd_dvd_int( X, Z ),
% 0.84/1.30 dvd_dvd_int( X, Y ) }.
% 0.84/1.30 { number_number_of_int( minus_minus_int( X, Y ) ) = minus_minus_int(
% 0.84/1.30 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 0.84/1.30 { minus_minus_int( bit1( X ), bit0( Y ) ) = bit1( minus_minus_int( X, Y ) )
% 0.84/1.30 }.
% 0.84/1.30 { minus_minus_int( bit1( X ), bit1( Y ) ) = bit0( minus_minus_int( X, Y ) )
% 0.84/1.30 }.
% 0.84/1.30 { minus_minus_int( pls, bit0( X ) ) = bit0( minus_minus_int( pls, X ) ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_int( minus_minus_int( X, Y ),
% 0.84/1.30 zero_zero_int ) }.
% 0.84/1.30 { ! ord_less_int( minus_minus_int( X, Y ), zero_zero_int ), ord_less_int( X
% 0.84/1.30 , Y ) }.
% 0.84/1.30 { plus_plus_int( times_times_int( minus_minus_int( X, times_times_int( Y, Z
% 0.84/1.30 ) ), T ), times_times_int( minus_minus_int( U, times_times_int( Y, W ) )
% 0.84/1.30 , V0 ) ) = minus_minus_int( plus_plus_int( times_times_int( X, T ),
% 0.84/1.30 times_times_int( U, V0 ) ), times_times_int( Y, plus_plus_int(
% 0.84/1.30 times_times_int( Z, T ), times_times_int( W, V0 ) ) ) ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), dvd_dvd_int( Z, minus_minus_int( X, Y ) ) }.
% 0.84/1.30 { ! dvd_dvd_int( Z, minus_minus_int( X, Y ) ), zcong( X, Y, Z ) }.
% 0.84/1.30 { ! is_int( X ), ! ord_less_int( zero_zero_int, X ), ! ord_less_int( X, Y )
% 0.84/1.30 , X = minus_minus_int( Y, one_one_int ), ord_less_int( X, minus_minus_int
% 0.84/1.30 ( Y, one_one_int ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( X, minus_minus_int( Y, one_one_int ) ), ord_less_int(
% 0.84/1.30 X, Y ) }.
% 0.84/1.30 { ! ord_less_int( X, Y ), ord_less_eq_int( X, minus_minus_int( Y,
% 0.84/1.30 one_one_int ) ) }.
% 0.84/1.30 { minus_minus_int( pls, bit1( X ) ) = bit1( minus_minus_int( min, X ) ) }.
% 0.84/1.30 { minus_minus_int( min, bit1( X ) ) = bit0( minus_minus_int( min, X ) ) }.
% 0.84/1.30 { minus_minus_int( min, bit0( X ) ) = bit1( minus_minus_int( min, X ) ) }.
% 0.84/1.30 { ! zcong( times_times_int( X, minus_minus_int( Y, one_one_int ) ),
% 0.84/1.30 one_one_int, Y ), zcong( X, minus_minus_int( Y, one_one_int ), Y ) }.
% 0.84/1.30 { ! zcong( X, minus_minus_int( Y, one_one_int ), Y ), zcong(
% 0.84/1.30 times_times_int( X, minus_minus_int( Y, one_one_int ) ), one_one_int, Y )
% 0.84/1.30 }.
% 0.84/1.30 { times_times_int( twoSqu140629262sum2sq( product_Pair_int_int( X, Y ) ),
% 0.84/1.30 twoSqu140629262sum2sq( product_Pair_int_int( Z, T ) ) ) =
% 0.84/1.30 twoSqu140629262sum2sq( product_Pair_int_int( plus_plus_int(
% 0.84/1.30 times_times_int( X, Z ), times_times_int( Y, T ) ), minus_minus_int(
% 0.84/1.30 times_times_int( X, T ), times_times_int( Y, Z ) ) ) ) }.
% 0.84/1.30 { ! zprime( X ), ! ord_less_int( zero_zero_int, Y ), ! zcong(
% 0.84/1.30 times_times_int( Y, Y ), one_one_int, X ), zcong( Y, one_one_int, X ),
% 0.84/1.30 zcong( Y, minus_minus_int( X, one_one_int ), X ) }.
% 0.84/1.30 { ! is_int( X ), ! zprime( Y ), ! ord_less_int( zero_zero_int, X ), !
% 0.84/1.30 ord_less_int( X, Y ), ! zcong( times_times_int( X, X ), one_one_int, Y )
% 0.84/1.30 , X = one_one_int, X = minus_minus_int( Y, one_one_int ) }.
% 0.84/1.30 { times_times_int( plus_plus_int( X, Y ), minus_minus_int( X, Y ) ) =
% 0.84/1.30 minus_minus_int( power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ) }.
% 0.84/1.30 { power_power_int( minus_minus_int( X, Y ), number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) = plus_plus_int( minus_minus_int( power_power_int( X,
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), times_times_int(
% 0.84/1.30 times_times_int( number_number_of_int( bit0( bit1( pls ) ) ), X ), Y ) )
% 0.84/1.30 , power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) }.
% 0.84/1.30 { power_power_int( minus_minus_int( X, Y ), number_number_of_nat( bit1(
% 0.84/1.30 bit1( pls ) ) ) ) = minus_minus_int( plus_plus_int( minus_minus_int(
% 0.84/1.30 power_power_int( X, number_number_of_nat( bit1( bit1( pls ) ) ) ),
% 0.84/1.30 times_times_int( times_times_int( number_number_of_int( bit1( bit1( pls )
% 0.84/1.30 ) ), power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) )
% 0.84/1.30 , Y ) ), times_times_int( times_times_int( number_number_of_int( bit1(
% 0.84/1.30 bit1( pls ) ) ), X ), power_power_int( Y, number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ) ) ), power_power_int( Y, number_number_of_nat( bit1(
% 0.84/1.30 bit1( pls ) ) ) ) ) }.
% 0.84/1.30 { power_power_int( number_number_of_int( min ), X ) = one_one_int,
% 0.84/1.30 power_power_int( number_number_of_int( min ), X ) = number_number_of_int
% 0.84/1.30 ( min ) }.
% 0.84/1.30 { ! zprime( plus_plus_int( times_times_int( number_number_of_int( bit0(
% 0.84/1.30 bit0( bit1( pls ) ) ) ), X ), one_one_int ) ), legendre(
% 0.84/1.30 number_number_of_int( min ), plus_plus_int( times_times_int(
% 0.84/1.30 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), X ), one_one_int ) )
% 0.84/1.30 = one_one_int }.
% 0.84/1.30 { ! ord_less_int( number_number_of_int( bit0( bit1( pls ) ) ), X ), ! zcong
% 0.84/1.30 ( one_one_int, number_number_of_int( min ), X ) }.
% 0.84/1.30 { ! ord_less_int( number_number_of_int( bit0( bit1( pls ) ) ), X ), ! zcong
% 0.84/1.30 ( Y, number_number_of_int( min ), X ), ! zcong( Y, one_one_int, X ) }.
% 0.84/1.30 { ! zcong( X, zero_zero_int, Y ), legendre( X, Y ) = zero_zero_int }.
% 0.84/1.30 { zcong( X, zero_zero_int, Y ), ! quadRes( Y, X ), legendre( X, Y ) =
% 0.84/1.30 one_one_int }.
% 0.84/1.30 { zcong( X, zero_zero_int, Y ), quadRes( Y, X ), legendre( X, Y ) =
% 0.84/1.30 number_number_of_int( min ) }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), Y = zero_zero_nat, Y = X, ord_less_eq_nat(
% 0.84/1.30 times_times_nat( number_number_of_nat( bit0( bit1( pls ) ) ), X ), Y ) }
% 0.84/1.30 .
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), ! dvd_dvd_nat( Y, X ), X = Y }.
% 0.84/1.30 { ! X = Y, dvd_dvd_nat( X, Y ) }.
% 0.84/1.30 { ! X = Y, dvd_dvd_nat( Y, X ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), ! Y = T, ! zcong( T, U, Z ), zcong( X, U, Z ) }.
% 0.84/1.30 { ! Y = zero_zero_nat, times_times_nat( Y, X ) = zero_zero_nat }.
% 0.84/1.30 { Y = zero_zero_nat, times_times_nat( Y, X ) = plus_plus_nat( X,
% 0.84/1.30 times_times_nat( minus_minus_nat( Y, one_one_nat ), X ) ) }.
% 0.84/1.30 { ! Y = zero_zero_nat, power_power_nat( X, Y ) = one_one_nat }.
% 0.84/1.30 { Y = zero_zero_nat, power_power_nat( X, Y ) = times_times_nat( X,
% 0.84/1.30 power_power_nat( X, minus_minus_nat( Y, one_one_nat ) ) ) }.
% 0.84/1.30 { minus_minus_nat( power_power_nat( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_nat( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ) = times_times_nat( plus_plus_nat( X, Y ), minus_minus_nat( X, Y
% 0.84/1.30 ) ) }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), ! dvd_dvd_nat( X, plus_plus_nat( Y, Z ) ),
% 0.84/1.30 dvd_dvd_nat( X, Z ) }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), dvd_dvd_nat( times_times_nat( Z, X ),
% 0.84/1.30 times_times_nat( Z, Y ) ) }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), dvd_dvd_nat( times_times_nat( X, Z ),
% 0.84/1.30 times_times_nat( Y, Z ) ) }.
% 0.84/1.30 { zcong( X, zero_zero_int, X ) }.
% 0.84/1.30 { ! times_times_nat( X, Y ) = one_one_nat, X = one_one_nat }.
% 0.84/1.30 { ! times_times_nat( X, Y ) = one_one_nat, Y = one_one_nat }.
% 0.84/1.30 { ! X = one_one_nat, ! Y = one_one_nat, times_times_nat( X, Y ) =
% 0.84/1.30 one_one_nat }.
% 0.84/1.30 { ! is_int( X ), ! minus_minus_int( X, Y ) = Z, X = plus_plus_int( Z, Y ) }
% 0.84/1.30 .
% 0.84/1.30 { ! zcong( X, Y, Z ), ! zcong( T, times_times_int( U, X ), Z ), zcong( T,
% 0.84/1.30 times_times_int( U, Y ), Z ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), ! zcong( T, times_times_int( U, Y ), Z ), zcong( T,
% 0.84/1.30 times_times_int( U, X ), Z ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), ! zcong( T, times_times_int( X, U ), Z ), zcong( T,
% 0.84/1.30 times_times_int( Y, U ), Z ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), ! zcong( T, times_times_int( Y, U ), Z ), zcong( T,
% 0.84/1.30 times_times_int( X, U ), Z ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), zcong( plus_plus_int( X, T ), plus_plus_int( Y, T ),
% 0.84/1.30 Z ) }.
% 0.84/1.30 { ! power_power_nat( X, Y ) = zero_zero_nat, ! Y = zero_zero_nat }.
% 0.84/1.30 { ! power_power_nat( X, Y ) = zero_zero_nat, X = zero_zero_nat }.
% 0.84/1.30 { Y = zero_zero_nat, ! X = zero_zero_nat, power_power_nat( X, Y ) =
% 0.84/1.30 zero_zero_nat }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), dvd_dvd_nat( power_power_nat( X, Z ),
% 0.84/1.30 power_power_nat( Y, Z ) ) }.
% 0.84/1.30 { ! zcong( X, Y, Z ), zcong( power_power_int( X, T ), power_power_int( Y, T
% 0.84/1.30 ), Z ) }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Y ), Y = zero_zero_nat, ord_less_eq_nat( X, Y ) }.
% 0.84/1.30 { ! dvd_dvd_nat( times_times_nat( X, Y ), times_times_nat( Z, Y ) ), Y =
% 0.84/1.30 zero_zero_nat, dvd_dvd_nat( X, Z ) }.
% 0.84/1.30 { ! Y = zero_zero_nat, dvd_dvd_nat( times_times_nat( X, Y ),
% 0.84/1.30 times_times_nat( Z, Y ) ) }.
% 0.84/1.30 { ! dvd_dvd_nat( X, Z ), dvd_dvd_nat( times_times_nat( X, Y ),
% 0.84/1.30 times_times_nat( Z, Y ) ) }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, X ), ! ord_less_int( X, Y ), ! zcong( X,
% 0.84/1.30 zero_zero_int, Y ) }.
% 0.84/1.30 { ! is_int( X ), ! is_int( Y ), ! ord_less_int( zero_zero_int, Y ), !
% 0.84/1.30 ord_less_int( zero_zero_int, X ), ! ord_less_int( zero_zero_int, Z ), !
% 0.84/1.30 zcong( Y, X, Z ), ! ord_less_int( Y, Z ), ! ord_less_int( X, Z ), Y = X }
% 0.84/1.30 .
% 0.84/1.30 { ! dvd_dvd_int( X, Y ), ord_less_eq_int( Y, zero_zero_int ),
% 0.84/1.30 ord_less_eq_int( X, Y ) }.
% 0.84/1.30 { X = zero_zero_nat, ! dvd_dvd_nat( power_power_nat( Y, X ), Z ),
% 0.84/1.30 dvd_dvd_nat( Y, Z ) }.
% 0.84/1.30 { ! dvd_dvd_nat( power_power_nat( X, Y ), power_power_nat( Z, Y ) ), Y =
% 0.84/1.30 zero_zero_nat, dvd_dvd_nat( X, Z ) }.
% 0.84/1.30 { ! zcong( X, zero_zero_int, Y ), dvd_dvd_int( Y, X ) }.
% 0.84/1.30 { ! dvd_dvd_int( Y, X ), zcong( X, zero_zero_int, Y ) }.
% 0.84/1.30 { ! zcong( X, zero_zero_int, Y ), dvd_dvd_int( Y, X ) }.
% 0.84/1.30 { ! dvd_dvd_int( Y, X ), zcong( X, zero_zero_int, Y ) }.
% 0.84/1.30 { ! power_power_nat( X, Y ) = one_one_nat, X = one_one_nat, Y =
% 0.84/1.30 zero_zero_nat }.
% 0.84/1.30 { ! X = one_one_nat, power_power_nat( X, Y ) = one_one_nat }.
% 0.84/1.30 { ! Y = zero_zero_nat, power_power_nat( X, Y ) = one_one_nat }.
% 0.84/1.30 { ! zprime( X ), ! dvd_dvd_int( X, times_times_int( Y, Z ) ), dvd_dvd_int(
% 0.84/1.30 X, Y ), dvd_dvd_int( X, Z ) }.
% 0.84/1.30 { ! is_int( X ), ! ord_less_eq_int( zero_zero_int, X ), ! ord_less_int( X,
% 0.84/1.30 Y ), ! zcong( X, zero_zero_int, Y ), X = zero_zero_int }.
% 0.84/1.30 { ! ord_less_nat( zero_zero_nat, X ), ! dvd_dvd_int( Y, Z ), dvd_dvd_int( Y
% 0.84/1.30 , power_power_int( Z, X ) ) }.
% 0.84/1.30 { ! zprime( X ), zcong( Y, zero_zero_int, X ), zcong( Z, zero_zero_int, X )
% 0.84/1.30 , ! zcong( times_times_int( Y, Z ), zero_zero_int, X ) }.
% 0.84/1.30 { ! X = plus_plus_nat( times_times_nat( T, Y ), Z ), ! ord_less_nat(
% 0.84/1.30 zero_zero_nat, Z ), ! ord_less_nat( Z, Y ), ! dvd_dvd_nat( Y, X ) }.
% 0.84/1.30 { ! zprime( X ), ! ord_less_int( zero_zero_int, Y ), zcong( Y,
% 0.84/1.30 zero_zero_int, X ), zcong( Z, zero_zero_int, X ), ! zcong(
% 0.84/1.30 times_times_int( Y, Z ), zero_zero_int, X ) }.
% 0.84/1.30 { ! zprime( X ), ! ord_less_int( zero_zero_int, Y ), ! zcong(
% 0.84/1.30 times_times_int( Y, Z ), zero_zero_int, X ), zcong( Y, zero_zero_int, X )
% 0.84/1.30 , zcong( Z, zero_zero_int, X ) }.
% 0.84/1.30 { ! zprime( X ), ! dvd_dvd_int( X, power_power_int( Y, Z ) ), !
% 0.84/1.30 ord_less_nat( zero_zero_nat, Z ), dvd_dvd_int( X, Y ) }.
% 0.84/1.30 { ! quadRes( X, Y ), is_int( skol9( Z, T ) ) }.
% 0.84/1.30 { ! quadRes( X, Y ), zcong( power_power_int( skol9( X, Y ),
% 0.84/1.30 number_number_of_nat( bit0( bit1( pls ) ) ) ), Y, X ) }.
% 0.84/1.30 { ! is_int( Z ), ! zcong( power_power_int( Z, number_number_of_nat( bit0(
% 0.84/1.30 bit1( pls ) ) ) ), Y, X ), quadRes( X, Y ) }.
% 0.84/1.30 { ! plus_plus_real( power_power_real( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_real( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ) = zero_zero_real, X = zero_zero_real }.
% 0.84/1.30 { ! plus_plus_real( power_power_real( X, number_number_of_nat( bit0( bit1(
% 0.84/1.30 pls ) ) ) ), power_power_real( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.30 ) ) ) ) = zero_zero_real, Y = zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, ! Y = zero_zero_real, plus_plus_real(
% 0.84/1.30 power_power_real( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.84/1.30 power_power_real( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) =
% 0.84/1.30 zero_zero_real }.
% 0.84/1.30 { ! ord_less_int( zero_zero_int, X ), ! X = plus_plus_int( Y,
% 0.84/1.30 times_times_int( X, Z ) ), ! ord_less_int( Y, X ), ord_less_eq_int(
% 0.84/1.30 one_one_int, Z ) }.
% 0.84/1.30 { ! zero_zero_real = one_one_real }.
% 0.84/1.30 { ! ord_less_eq_real( X, Y ), ord_less_eq_real( minus_minus_real( X, Y ),
% 0.84/1.30 zero_zero_real ) }.
% 0.84/1.30 { ! ord_less_eq_real( minus_minus_real( X, Y ), zero_zero_real ),
% 0.84/1.30 ord_less_eq_real( X, Y ) }.
% 0.84/1.30 { ! ord_less_real( X, Y ), ord_less_eq_real( X, Y ) }.
% 0.84/1.30 { ! ord_less_real( X, Y ), ! X = Y }.
% 0.84/1.30 { ! ord_less_eq_real( X, Y ), X = Y, ord_less_real( X, Y ) }.
% 0.84/1.30 { ! ord_less_eq_real( X, Y ), ord_less_real( X, Y ), X = Y }.
% 0.84/1.30 { ! ord_less_real( X, Y ), ord_less_eq_real( X, Y ) }.
% 0.84/1.30 { ! X = Y, ord_less_eq_real( X, Y ) }.
% 0.84/1.30 { times_times_real( one_one_real, X ) = X }.
% 0.84/1.30 { times_times_real( X, Y ) = times_times_real( Y, X ) }.
% 0.84/1.30 { times_times_real( times_times_real( X, Y ), Z ) = times_times_real( X,
% 0.84/1.30 times_times_real( Y, Z ) ) }.
% 0.84/1.30 { ! ord_less_eq_real( X, Y ), ord_less_eq_real( plus_plus_real( Z, X ),
% 0.84/1.30 plus_plus_real( Z, Y ) ) }.
% 0.84/1.30 { X = zero_zero_real, ! times_times_real( X, Y ) = times_times_real( X, Z )
% 0.84/1.30 , Y = Z }.
% 0.84/1.30 { X = zero_zero_real, ! Y = Z, times_times_real( X, Y ) = times_times_real
% 0.84/1.30 ( X, Z ) }.
% 0.84/1.30 { X = zero_zero_real, ! times_times_real( Y, X ) = times_times_real( Z, X )
% 0.84/1.30 , Y = Z }.
% 0.84/1.30 { X = zero_zero_real, ! Y = Z, times_times_real( Y, X ) = times_times_real
% 0.84/1.30 ( Z, X ) }.
% 0.84/1.30 { times_times_real( plus_plus_real( X, Y ), Z ) = plus_plus_real(
% 0.84/1.30 times_times_real( X, Z ), times_times_real( Y, Z ) ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_real( Y, Z ),
% 0.84/1.30 ord_less_real( times_times_real( X, Y ), times_times_real( X, Z ) ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_real( zero_zero_real, Y
% 0.84/1.30 ), ord_less_real( zero_zero_real, times_times_real( X, Y ) ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_eq_real(
% 0.84/1.30 times_times_real( X, Y ), times_times_real( X, Z ) ), ord_less_eq_real( Y
% 0.84/1.30 , Z ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_eq_real( Y, Z ),
% 0.84/1.30 ord_less_eq_real( times_times_real( X, Y ), times_times_real( X, Z ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_eq_real(
% 0.84/1.30 times_times_real( Y, X ), times_times_real( Z, X ) ), ord_less_eq_real( Y
% 0.84/1.30 , Z ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_eq_real( Y, Z ),
% 0.84/1.30 ord_less_eq_real( times_times_real( Y, X ), times_times_real( Z, X ) ) }
% 0.84/1.30 .
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_real( times_times_real(
% 0.84/1.30 Y, X ), times_times_real( Z, X ) ), ord_less_real( Y, Z ) }.
% 0.84/1.30 { ! ord_less_real( zero_zero_real, X ), ! ord_less_real( Y, Z ),
% 0.84/1.30 ord_less_real( times_times_real( Y, X ), times_times_real( Z, X ) ) }.
% 0.84/1.30 { ! plus_plus_real( times_times_real( X, X ), times_times_real( Y, Y ) ) =
% 0.84/1.30 zero_zero_real, X = zero_zero_real }.
% 0.84/1.30 { ! plus_plus_real( times_times_real( X, X ), times_times_real( Y, Y ) ) =
% 0.84/1.30 zero_zero_real, Y = zero_zero_real }.
% 0.84/1.30 { ! X = zero_zero_real, ! Y = zero_zero_real, plus_plus_real(
% 0.84/1.30 times_times_real( X, X ), times_times_real( Y, Y ) ) = zero_zero_real }.
% 0.84/1.30 { ord_less_eq_real( one_one_real, power_power_real( number267125858f_real(
% 0.84/1.30 bit0( bit1( pls ) ) ), X ) ) }.
% 0.84/1.30 { ! ord_less_eq_int( zero_zero_int, plus_plus_int( times_times_int( X, Y )
% 0.84/1.30 , Z ) ), ! ord_less_int( Z, X ), ! ord_less_int( zero_zero_int, X ),
% 0.84/1.30 ord_less_eq_int( zero_zero_int, Y ) }.
% 0.84/1.30 { ! ord_less_int( plus_plus_int( times_times_int( X, Y ), Z ),
% 0.84/1.31 zero_zero_int ), ! ord_less_eq_int( zero_zero_int, Z ), ! ord_less_int(
% 0.84/1.31 zero_zero_int, X ), ord_less_eq_int( Y, zero_zero_int ) }.
% 0.84/1.31 { ! ord_less_eq_int( plus_plus_int( times_times_int( X, Y ), Z ),
% 0.84/1.31 plus_plus_int( times_times_int( X, T ), U ) ), ! ord_less_eq_int(
% 0.84/1.31 zero_zero_int, Z ), ! ord_less_int( Z, X ), ! ord_less_int( U, X ),
% 0.84/1.31 ord_less_eq_int( Y, T ) }.
% 0.84/1.31 { ! plus_plus_int( times_times_int( X, Y ), Z ) = plus_plus_int(
% 0.84/1.31 times_times_int( T, U ), W ), ! ord_less_eq_int( zero_zero_int,
% 0.84/1.31 plus_plus_int( times_times_int( T, U ), W ) ), ! ord_less_int( W, T ), !
% 0.84/1.31 ord_less_eq_int( zero_zero_int, Z ), ! ord_less_int( zero_zero_int, T ),
% 0.84/1.31 ! ord_less_eq_int( T, X ), ord_less_eq_int( Y, U ) }.
% 0.84/1.31 { ! ord_less_eq_int( plus_plus_int( times_times_int( X, Y ), Z ),
% 0.84/1.31 plus_plus_int( times_times_int( X, T ), U ) ), ! ord_less_eq_int( U,
% 0.84/1.31 zero_zero_int ), ! ord_less_int( X, U ), ! ord_less_int( X, Z ),
% 0.84/1.31 ord_less_eq_int( T, Y ) }.
% 0.84/1.31 { ! plus_plus_int( times_times_int( X, Y ), Z ) = plus_plus_int(
% 0.84/1.31 times_times_int( T, U ), W ), ! ord_less_int( plus_plus_int(
% 0.84/1.31 times_times_int( T, U ), W ), zero_zero_int ), ! ord_less_int( Z, X ), !
% 0.84/1.31 ord_less_eq_int( zero_zero_int, W ), ! ord_less_int( zero_zero_int, T ),
% 0.84/1.31 ! ord_less_eq_int( T, X ), ord_less_eq_int( U, Y ) }.
% 0.84/1.31 { ! ord_less_int( zero_zero_int, X ), ! X = plus_plus_int( Y,
% 0.84/1.31 times_times_int( X, Z ) ), ! ord_less_eq_int( zero_zero_int, Y ),
% 0.84/1.31 ord_less_eq_int( Z, one_one_int ) }.
% 0.84/1.31 { ord_less_eq_int( zero_zero_int, number_number_of_int( bit0( bit1( pls ) )
% 0.84/1.31 ) ) }.
% 0.84/1.31 { ! ord_less_eq_real( X, Y ), ! ord_less_eq_real( Y, X ), X = Y }.
% 0.84/1.31 { ! ord_less_eq_real( X, Y ), ! ord_less_eq_real( Y, Z ), ord_less_eq_real
% 0.84/1.31 ( X, Z ) }.
% 0.84/1.31 { ord_less_eq_real( X, Y ), ord_less_eq_real( Y, X ) }.
% 0.84/1.31 { ord_less_eq_real( X, X ) }.
% 0.84/1.31 { ord_less_eq_int( zero_zero_int, zero_zero_int ) }.
% 0.84/1.31 { ord_less_eq_int( zero_zero_int, one_one_int ) }.
% 0.84/1.31 { ! ord_less_eq_int( zero_zero_int, X ), ! ord_less_eq_int( zero_zero_int,
% 0.84/1.31 Y ), ord_less_eq_int( zero_zero_int, times_times_int( X, Y ) ) }.
% 0.84/1.31 { ! ord_less_eq_int( zero_zero_int, X ), ! ord_less_eq_int( zero_zero_int,
% 0.84/1.31 Y ), ord_less_eq_int( zero_zero_int, plus_plus_int( X, Y ) ) }.
% 0.84/1.31 { ! ord_less_eq_int( zero_zero_int, X ), ord_less_eq_int( zero_zero_int,
% 0.84/1.31 power_power_int( X, Y ) ) }.
% 0.84/1.31 { ord_less_eq_int( zero_zero_int, number_number_of_int( bit1( bit1( pls ) )
% 0.84/1.31 ) ) }.
% 0.84/1.31 { ! ord_less_nat( zero_zero_nat, X ), ! ord_less_real( zero_zero_real, Y )
% 0.84/1.31 , ord_less_real( zero_zero_real, skol10( Z, T ) ) }.
% 0.84/1.31 { ! ord_less_nat( zero_zero_nat, X ), ! ord_less_real( zero_zero_real, Y )
% 0.84/1.31 , power_power_real( skol10( X, Y ), X ) = Y }.
% 0.84/1.31 { ! plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.84/1.31 pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls )
% 0.84/1.31 ) ) ) ) = plus_plus_int( times_times_int( number_number_of_int( bit0(
% 0.84/1.31 bit0( bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.84/1.31
% 0.84/1.31 *** allocated 15000 integers for clauses
% 0.84/1.31 *** allocated 22500 integers for clauses
% 0.84/1.31 *** allocated 33750 integers for clauses
% 0.84/1.31 *** allocated 50625 integers for clauses
% 0.84/1.31 percentage equality = 0.339387, percentage horn = 0.912515
% 0.84/1.31 This is a problem with some equality
% 0.84/1.31
% 0.84/1.31
% 0.84/1.31
% 0.84/1.31 Options Used:
% 0.84/1.31
% 0.84/1.31 useres = 1
% 0.84/1.31 useparamod = 1
% 0.84/1.31 useeqrefl = 1
% 0.84/1.31 useeqfact = 1
% 0.84/1.31 usefactor = 1
% 0.84/1.31 usesimpsplitting = 0
% 0.84/1.31 usesimpdemod = 5
% 0.84/1.31 usesimpres = 3
% 0.84/1.31
% 0.84/1.31 resimpinuse = 1000
% 0.84/1.31 resimpclauses = 20000
% 0.84/1.31 substype = eqrewr
% 0.84/1.31 backwardsubs = 1
% 0.84/1.31 selectoldest = 5
% 0.84/1.31
% 0.84/1.31 litorderings [0] = split
% 0.84/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.84/1.31
% 0.84/1.31 termordering = kbo
% 0.84/1.31
% 0.84/1.31 litapriori = 0
% 0.84/1.31 termapriori = 1
% 0.84/1.31 litaposteriori = 0
% 0.84/1.31 termaposteriori = 0
% 0.84/1.31 demodaposteriori = 0
% 0.84/1.31 ordereqreflfact = 0
% 0.84/1.31
% 0.84/1.31 litselect = negord
% 0.84/1.31
% 0.84/1.31 maxweight = 15
% 0.84/1.31 maxdepth = 30000
% 0.84/1.31 maxlength = 115
% 0.84/1.31 maxnrvars = 195
% 0.84/1.31 excuselevel = 1
% 0.84/1.31 increasemaxweight = 1
% 0.84/1.31
% 0.84/1.31 maxselected = 10000000
% 0.84/1.31 maxnrclauses = 10000000
% 0.84/1.31
% 0.84/1.31 showgenerated = 0
% 0.84/1.31 showkept = 0
% 0.84/1.31 showselected = 0
% 0.84/1.31 showdeleted = 0
% 0.84/1.31 showresimp = 1
% 13.93/14.29 showstatus = 2000
% 13.93/14.29
% 13.93/14.29 prologoutput = 0
% 13.93/14.29 nrgoals = 5000000
% 13.93/14.29 totalproof = 1
% 13.93/14.29
% 13.93/14.29 Symbols occurring in the translation:
% 13.93/14.29
% 13.93/14.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 13.93/14.29 . [1, 2] (w:1, o:327, a:1, s:1, b:0),
% 13.93/14.29 ! [4, 1] (w:0, o:310, a:1, s:1, b:0),
% 13.93/14.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.93/14.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 13.93/14.29 is_int [37, 1] (w:1, o:315, a:1, s:1, b:0),
% 13.93/14.29 minus_minus_int [38, 2] (w:1, o:352, a:1, s:1, b:0),
% 13.93/14.29 one_one_int [39, 0] (w:1, o:75, a:1, s:1, b:0),
% 13.93/14.29 plus_plus_int [40, 2] (w:1, o:359, a:1, s:1, b:0),
% 13.93/14.29 times_times_int [41, 2] (w:1, o:362, a:1, s:1, b:0),
% 13.93/14.29 zero_zero_int [42, 0] (w:1, o:76, a:1, s:1, b:0),
% 13.93/14.29 int [43, 0] (w:1, o:77, a:1, s:1, b:0),
% 13.93/14.29 undefined_int [44, 1] (w:1, o:319, a:1, s:1, b:0),
% 13.93/14.29 bit0 [45, 1] (w:1, o:321, a:1, s:1, b:0),
% 13.93/14.29 bit1 [46, 1] (w:1, o:322, a:1, s:1, b:0),
% 13.93/14.29 min [47, 0] (w:1, o:78, a:1, s:1, b:0),
% 13.93/14.29 pls [48, 0] (w:1, o:81, a:1, s:1, b:0),
% 13.93/14.29 number_number_of_int [49, 1] (w:1, o:323, a:1, s:1, b:0),
% 13.93/14.29 power_power_int [50, 2] (w:1, o:363, a:1, s:1, b:0),
% 13.93/14.29 legendre [51, 2] (w:1, o:351, a:1, s:1, b:0),
% 13.93/14.29 twoSqu140629262sum2sq [52, 1] (w:1, o:317, a:1, s:1, b:0),
% 13.93/14.29 m [53, 0] (w:1, o:82, a:1, s:1, b:0),
% 13.93/14.29 s1 [54, 0] (w:1, o:83, a:1, s:1, b:0),
% 13.93/14.29 s [55, 0] (w:1, o:84, a:1, s:1, b:0),
% 13.93/14.29 t [56, 0] (w:1, o:93, a:1, s:1, b:0),
% 13.93/14.29 ord_less_eq_int [57, 2] (w:1, o:353, a:1, s:1, b:0),
% 13.93/14.29 number_number_of_nat [60, 1] (w:1, o:324, a:1, s:1, b:0),
% 13.93/14.29 ord_less_int [61, 2] (w:1, o:354, a:1, s:1, b:0),
% 13.93/14.29 zprime [62, 1] (w:1, o:325, a:1, s:1, b:0),
% 13.93/14.29 twoSqu142715416sum2sq [63, 1] (w:1, o:318, a:1, s:1, b:0),
% 13.93/14.29 plus_plus_real [68, 2] (w:1, o:364, a:1, s:1, b:0),
% 13.93/14.29 power_power_real [69, 2] (w:1, o:365, a:1, s:1, b:0),
% 13.93/14.29 number267125858f_real [70, 1] (w:1, o:326, a:1, s:1, b:0),
% 13.93/14.29 times_times_real [71, 2] (w:1, o:366, a:1, s:1, b:0),
% 13.93/14.29 plus_plus_nat [72, 2] (w:1, o:367, a:1, s:1, b:0),
% 13.93/14.29 power_power_nat [73, 2] (w:1, o:368, a:1, s:1, b:0),
% 13.93/14.29 times_times_nat [74, 2] (w:1, o:369, a:1, s:1, b:0),
% 13.93/14.29 one_one_real [76, 0] (w:1, o:79, a:1, s:1, b:0),
% 13.93/14.29 one_one_nat [77, 0] (w:1, o:80, a:1, s:1, b:0),
% 13.93/14.29 ord_less_eq_real [99, 2] (w:1, o:355, a:1, s:1, b:0),
% 13.93/14.29 ord_less_real [100, 2] (w:1, o:356, a:1, s:1, b:0),
% 13.93/14.29 ord_less_eq_nat [101, 2] (w:1, o:357, a:1, s:1, b:0),
% 13.93/14.29 ord_less_nat [102, 2] (w:1, o:358, a:1, s:1, b:0),
% 13.93/14.29 dvd_dvd_int [222, 2] (w:1, o:370, a:1, s:1, b:0),
% 13.93/14.29 product_Pair_int_int [224, 2] (w:1, o:371, a:1, s:1, b:0),
% 13.93/14.29 zcong [232, 3] (w:1, o:383, a:1, s:1, b:0),
% 13.93/14.29 zero_zero_real [235, 0] (w:1, o:299, a:1, s:1, b:0),
% 13.93/14.29 zero_zero_nat [236, 0] (w:1, o:300, a:1, s:1, b:0),
% 13.93/14.29 dvd_dvd_nat [240, 2] (w:1, o:372, a:1, s:1, b:0),
% 13.93/14.29 dvd_dvd_real [241, 2] (w:1, o:373, a:1, s:1, b:0),
% 13.93/14.29 quadRes [355, 2] (w:1, o:374, a:1, s:1, b:0),
% 13.93/14.29 minus_minus_nat [360, 2] (w:1, o:375, a:1, s:1, b:0),
% 13.93/14.29 minus_minus_real [361, 2] (w:1, o:376, a:1, s:1, b:0),
% 13.93/14.29 alpha1 [366, 2] (w:1, o:377, a:1, s:1, b:1),
% 13.93/14.29 alpha2 [367, 1] (w:1, o:320, a:1, s:1, b:1),
% 13.93/14.29 alpha3 [368, 2] (w:1, o:378, a:1, s:1, b:1),
% 13.93/14.29 alpha4 [369, 2] (w:1, o:379, a:1, s:1, b:1),
% 13.93/14.29 alpha5 [370, 2] (w:1, o:380, a:1, s:1, b:1),
% 13.93/14.29 alpha6 [371, 2] (w:1, o:381, a:1, s:1, b:1),
% 13.93/14.29 alpha7 [372, 2] (w:1, o:382, a:1, s:1, b:1),
% 13.93/14.29 skol1 [373, 0] (w:1, o:85, a:1, s:1, b:1),
% 13.93/14.29 skol2 [374, 0] (w:1, o:88, a:1, s:1, b:1),
% 13.93/14.29 skol3 [375, 0] (w:1, o:89, a:1, s:1, b:1),
% 13.93/14.29 skol4 [376, 0] (w:1, o:90, a:1, s:1, b:1),
% 13.93/14.29 skol5 [377, 0] (w:1, o:91, a:1, s:1, b:1),
% 13.93/14.29 skol6 [378, 1] (w:1, o:316, a:1, s:1, b:1),
% 13.93/14.29 skol7 [379, 0] (w:1, o:92, a:1, s:1, b:1),
% 13.93/14.29 skol8 [380, 3] (w:1, o:384, a:1, s:1, b:1),
% 13.93/14.29 skol9 [381, 2] (w:1, o:360, a:1, s:1, b:1),
% 13.93/14.29 skol10 [382, 2] (w:1, o:361, a:1, s:1, b:1),
% 13.93/14.29 skol11 [383, 0] (w:1, o:86, a:1, s:1, b:1),
% 13.93/14.29 skol12 [384, 0] (w:1, o:87, a:1, s:1, b:1).
% 13.93/14.29
% 13.93/14.29
% 13.93/14.29 Starting Search:
% 13.93/14.29
% 13.93/14.29 *** allocated 75937 integers for clauses
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 *** allocated 113905 integers for clauses
% 58.03/58.38 *** allocated 170857 integers for clauses
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 2819
% 58.03/58.38 Kept: 2007
% 58.03/58.38 Inuse: 129
% 58.03/58.38 Deleted: 24
% 58.03/58.38 Deletedinuse: 0
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 *** allocated 75937 integers for termspace/termends
% 58.03/58.38 *** allocated 256285 integers for clauses
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 9917
% 58.03/58.38 Kept: 4013
% 58.03/58.38 Inuse: 254
% 58.03/58.38 Deleted: 40
% 58.03/58.38 Deletedinuse: 0
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 *** allocated 113905 integers for termspace/termends
% 58.03/58.38 *** allocated 384427 integers for clauses
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 15171
% 58.03/58.38 Kept: 6028
% 58.03/58.38 Inuse: 393
% 58.03/58.38 Deleted: 94
% 58.03/58.38 Deletedinuse: 40
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 *** allocated 170857 integers for termspace/termends
% 58.03/58.38 *** allocated 576640 integers for clauses
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 19281
% 58.03/58.38 Kept: 8029
% 58.03/58.38 Inuse: 497
% 58.03/58.38 Deleted: 109
% 58.03/58.38 Deletedinuse: 40
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 25020
% 58.03/58.38 Kept: 10033
% 58.03/58.38 Inuse: 625
% 58.03/58.38 Deleted: 112
% 58.03/58.38 Deletedinuse: 40
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 *** allocated 864960 integers for clauses
% 58.03/58.38 *** allocated 256285 integers for termspace/termends
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 37519
% 58.03/58.38 Kept: 12989
% 58.03/58.38 Inuse: 659
% 58.03/58.38 Deleted: 117
% 58.03/58.38 Deletedinuse: 40
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 46446
% 58.03/58.38 Kept: 15005
% 58.03/58.38 Inuse: 678
% 58.03/58.38 Deleted: 117
% 58.03/58.38 Deletedinuse: 40
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 51477
% 58.03/58.38 Kept: 17021
% 58.03/58.38 Inuse: 741
% 58.03/58.38 Deleted: 225
% 58.03/58.38 Deletedinuse: 138
% 58.03/58.38
% 58.03/58.38 *** allocated 1297440 integers for clauses
% 58.03/58.38 *** allocated 384427 integers for termspace/termends
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 57176
% 58.03/58.38 Kept: 19027
% 58.03/58.38 Inuse: 756
% 58.03/58.38 Deleted: 227
% 58.03/58.38 Deletedinuse: 138
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying clauses:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 73738
% 58.03/58.38 Kept: 21068
% 58.03/58.38 Inuse: 781
% 58.03/58.38 Deleted: 2858
% 58.03/58.38 Deletedinuse: 138
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 90583
% 58.03/58.38 Kept: 23165
% 58.03/58.38 Inuse: 806
% 58.03/58.38 Deleted: 2860
% 58.03/58.38 Deletedinuse: 140
% 58.03/58.38
% 58.03/58.38 *** allocated 576640 integers for termspace/termends
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 118608
% 58.03/58.38 Kept: 25187
% 58.03/58.38 Inuse: 829
% 58.03/58.38 Deleted: 2860
% 58.03/58.38 Deletedinuse: 140
% 58.03/58.38
% 58.03/58.38 *** allocated 1946160 integers for clauses
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 129146
% 58.03/58.38 Kept: 27196
% 58.03/58.38 Inuse: 889
% 58.03/58.38 Deleted: 2860
% 58.03/58.38 Deletedinuse: 140
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 143896
% 58.03/58.38 Kept: 29570
% 58.03/58.38 Inuse: 934
% 58.03/58.38 Deleted: 2860
% 58.03/58.38 Deletedinuse: 140
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 152213
% 58.03/58.38 Kept: 31606
% 58.03/58.38 Inuse: 1013
% 58.03/58.38 Deleted: 2900
% 58.03/58.38 Deletedinuse: 152
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 *** allocated 864960 integers for termspace/termends
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 157698
% 58.03/58.38 Kept: 34311
% 58.03/58.38 Inuse: 1043
% 58.03/58.38 Deleted: 2916
% 58.03/58.38 Deletedinuse: 158
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 *** allocated 2919240 integers for clauses
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 163876
% 58.03/58.38 Kept: 38809
% 58.03/58.38 Inuse: 1052
% 58.03/58.38 Deleted: 2924
% 58.03/58.38 Deletedinuse: 165
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 166957
% 58.03/58.38 Kept: 41100
% 58.03/58.38 Inuse: 1053
% 58.03/58.38 Deleted: 2928
% 58.03/58.38 Deletedinuse: 165
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying clauses:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 174424
% 58.03/58.38 Kept: 46193
% 58.03/58.38 Inuse: 1058
% 58.03/58.38 Deleted: 4666
% 58.03/58.38 Deletedinuse: 165
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 186753
% 58.03/58.38 Kept: 52610
% 58.03/58.38 Inuse: 1073
% 58.03/58.38 Deleted: 4666
% 58.03/58.38 Deletedinuse: 165
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38 Resimplifying inuse:
% 58.03/58.38 Done
% 58.03/58.38
% 58.03/58.38
% 58.03/58.38 Intermediate Status:
% 58.03/58.38 Generated: 191844
% 131.90/132.25 Kept: 54610
% 131.90/132.25 Inuse: 1105
% 131.90/132.25 Deleted: 4666
% 131.90/132.25 Deletedinuse: 165
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 *** allocated 1297440 integers for termspace/termends
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 207075
% 131.90/132.25 Kept: 56779
% 131.90/132.25 Inuse: 1122
% 131.90/132.25 Deleted: 4670
% 131.90/132.25 Deletedinuse: 166
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 236736
% 131.90/132.25 Kept: 59201
% 131.90/132.25 Inuse: 1145
% 131.90/132.25 Deleted: 4670
% 131.90/132.25 Deletedinuse: 166
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 *** allocated 4378860 integers for clauses
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 252711
% 131.90/132.25 Kept: 61224
% 131.90/132.25 Inuse: 1187
% 131.90/132.25 Deleted: 4672
% 131.90/132.25 Deletedinuse: 168
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying clauses:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 261883
% 131.90/132.25 Kept: 65440
% 131.90/132.25 Inuse: 1220
% 131.90/132.25 Deleted: 5646
% 131.90/132.25 Deletedinuse: 170
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 266079
% 131.90/132.25 Kept: 68261
% 131.90/132.25 Inuse: 1230
% 131.90/132.25 Deleted: 5646
% 131.90/132.25 Deletedinuse: 170
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 276949
% 131.90/132.25 Kept: 72811
% 131.90/132.25 Inuse: 1250
% 131.90/132.25 Deleted: 5646
% 131.90/132.25 Deletedinuse: 170
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 285857
% 131.90/132.25 Kept: 74915
% 131.90/132.25 Inuse: 1280
% 131.90/132.25 Deleted: 5646
% 131.90/132.25 Deletedinuse: 170
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 292035
% 131.90/132.25 Kept: 76956
% 131.90/132.25 Inuse: 1316
% 131.90/132.25 Deleted: 5648
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 299035
% 131.90/132.25 Kept: 79008
% 131.90/132.25 Inuse: 1343
% 131.90/132.25 Deleted: 5648
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 *** allocated 1946160 integers for termspace/termends
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 305811
% 131.90/132.25 Kept: 81019
% 131.90/132.25 Inuse: 1366
% 131.90/132.25 Deleted: 5648
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying clauses:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 312966
% 131.90/132.25 Kept: 83066
% 131.90/132.25 Inuse: 1394
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 318687
% 131.90/132.25 Kept: 85975
% 131.90/132.25 Inuse: 1400
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 324303
% 131.90/132.25 Kept: 88860
% 131.90/132.25 Inuse: 1405
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 337874
% 131.90/132.25 Kept: 90899
% 131.90/132.25 Inuse: 1415
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 380807
% 131.90/132.25 Kept: 94030
% 131.90/132.25 Inuse: 1425
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 *** allocated 6568290 integers for clauses
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 409967
% 131.90/132.25 Kept: 96041
% 131.90/132.25 Inuse: 1441
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 416584
% 131.90/132.25 Kept: 98043
% 131.90/132.25 Inuse: 1461
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 424110
% 131.90/132.25 Kept: 100048
% 131.90/132.25 Inuse: 1481
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 433968
% 131.90/132.25 Kept: 104164
% 131.90/132.25 Inuse: 1495
% 131.90/132.25 Deleted: 6547
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying clauses:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 440782
% 131.90/132.25 Kept: 107442
% 131.90/132.25 Inuse: 1500
% 131.90/132.25 Deleted: 7154
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 456981
% 131.90/132.25 Kept: 109866
% 131.90/132.25 Inuse: 1510
% 131.90/132.25 Deleted: 7154
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 Done
% 131.90/132.25
% 131.90/132.25
% 131.90/132.25 Intermediate Status:
% 131.90/132.25 Generated: 462730
% 131.90/132.25 Kept: 111906
% 131.90/132.25 Inuse: 1540
% 131.90/132.25 Deleted: 7154
% 131.90/132.25 Deletedinuse: 172
% 131.90/132.25
% 131.90/132.25 Resimplifying inuse:
% 131.90/132.25 DoCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------