TSTP Solution File: NUM924+6 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 06:27:38 EDT 2022
% Result : Timeout 300.03s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM924+6 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n013.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 21:25:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.92/1.40 *** allocated 10000 integers for termspace/termends
% 0.92/1.40 *** allocated 10000 integers for clauses
% 0.92/1.40 *** allocated 10000 integers for justifications
% 0.92/1.40 *** allocated 15000 integers for termspace/termends
% 0.92/1.40 Bliksem 1.12
% 0.92/1.40
% 0.92/1.40
% 0.92/1.40 Automatic Strategy Selection
% 0.92/1.40
% 0.92/1.40 *** allocated 22500 integers for termspace/termends
% 0.92/1.40 *** allocated 33750 integers for termspace/termends
% 0.92/1.40 *** allocated 50625 integers for termspace/termends
% 0.92/1.40
% 0.92/1.40 Clauses:
% 0.92/1.40
% 0.92/1.40 { ! ab_group_add( X ), minus_minus( X, ti( X, Y ), Z ) = minus_minus( X, Y
% 0.92/1.40 , Z ) }.
% 0.92/1.40 { ! ab_group_add( X ), minus_minus( X, Y, ti( X, Z ) ) = minus_minus( X, Y
% 0.92/1.40 , Z ) }.
% 0.92/1.40 { ! ab_group_add( X ), ti( X, minus_minus( X, Y, Z ) ) = minus_minus( X, Y
% 0.92/1.40 , Z ) }.
% 0.92/1.40 { minus_minus( nat, ti( nat, X ), Y ) = minus_minus( nat, X, Y ) }.
% 0.92/1.40 { minus_minus( nat, X, ti( nat, Y ) ) = minus_minus( nat, X, Y ) }.
% 0.92/1.40 { ti( nat, minus_minus( nat, X, Y ) ) = minus_minus( nat, X, Y ) }.
% 0.92/1.40 { ! zero_neq_one( X ), ti( X, one_one( X ) ) = one_one( X ) }.
% 0.92/1.40 { ! power( X ), ti( X, one_one( X ) ) = one_one( X ) }.
% 0.92/1.40 { ! semiring( X ), plus_plus( X, ti( X, Y ), Z ) = plus_plus( X, Y, Z ) }.
% 0.92/1.40 { ! semiring( X ), plus_plus( X, Y, ti( X, Z ) ) = plus_plus( X, Y, Z ) }.
% 0.92/1.40 { ! semiring( X ), ti( X, plus_plus( X, Y, Z ) ) = plus_plus( X, Y, Z ) }.
% 0.92/1.40 { ! ab_group_add( X ), plus_plus( X, ti( X, Y ), Z ) = plus_plus( X, Y, Z )
% 0.92/1.40 }.
% 0.92/1.40 { ! ab_group_add( X ), plus_plus( X, Y, ti( X, Z ) ) = plus_plus( X, Y, Z )
% 0.92/1.40 }.
% 0.92/1.40 { ! ab_group_add( X ), ti( X, plus_plus( X, Y, Z ) ) = plus_plus( X, Y, Z )
% 0.92/1.40 }.
% 0.92/1.40 { ! dvd( X ), times_times( X, ti( X, Y ), Z ) = times_times( X, Y, Z ) }.
% 0.92/1.40 { ! dvd( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X, Y, Z ) }.
% 0.92/1.40 { ! dvd( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X, Y, Z ) }.
% 0.92/1.40 { ! semiring( X ), times_times( X, ti( X, Y ), Z ) = times_times( X, Y, Z )
% 0.92/1.40 }.
% 0.92/1.40 { ! semiring( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X, Y, Z )
% 0.92/1.40 }.
% 0.92/1.40 { ! semiring( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X, Y, Z )
% 0.92/1.40 }.
% 0.92/1.40 { ! no_zero_divisors( X ), times_times( X, ti( X, Y ), Z ) = times_times( X
% 0.92/1.40 , Y, Z ) }.
% 0.92/1.40 { ! no_zero_divisors( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X
% 0.92/1.40 , Y, Z ) }.
% 0.92/1.40 { ! no_zero_divisors( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X
% 0.92/1.40 , Y, Z ) }.
% 0.92/1.40 { ! mult_zero( X ), times_times( X, ti( X, Y ), Z ) = times_times( X, Y, Z
% 0.92/1.40 ) }.
% 0.92/1.40 { ! mult_zero( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X, Y, Z
% 0.92/1.40 ) }.
% 0.92/1.40 { ! mult_zero( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X, Y, Z
% 0.92/1.40 ) }.
% 0.92/1.40 { ! power( X ), times_times( X, ti( X, Y ), Z ) = times_times( X, Y, Z ) }
% 0.92/1.40 .
% 0.92/1.40 { ! power( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X, Y, Z ) }
% 0.92/1.40 .
% 0.92/1.40 { ! power( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X, Y, Z ) }
% 0.92/1.40 .
% 0.92/1.40 { ! zero_neq_one( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }.
% 0.92/1.40 { ! no_zero_divisors( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }.
% 0.92/1.40 { ! mult_zero( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }.
% 0.92/1.40 { ! linord219039673up_add( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }
% 0.92/1.40 .
% 0.92/1.40 { ti( X, undefined( X ) ) = undefined( X ) }.
% 0.92/1.40 { ! zcong( ti( int, X ), Y, Z ), zcong( X, Y, Z ) }.
% 0.92/1.40 { ! zcong( X, Y, Z ), zcong( ti( int, X ), Y, Z ) }.
% 0.92/1.40 { ! zcong( X, ti( int, Y ), Z ), zcong( X, Y, Z ) }.
% 0.92/1.40 { ! zcong( X, Y, Z ), zcong( X, ti( int, Y ), Z ) }.
% 0.92/1.40 { ! zcong( X, Y, ti( int, Z ) ), zcong( X, Y, Z ) }.
% 0.92/1.40 { ! zcong( X, Y, Z ), zcong( X, Y, ti( int, Z ) ) }.
% 0.92/1.40 { ! zprime( ti( int, X ) ), zprime( X ) }.
% 0.92/1.40 { ! zprime( X ), zprime( ti( int, X ) ) }.
% 0.92/1.40 { bit0( ti( int, X ) ) = bit0( X ) }.
% 0.92/1.40 { ti( int, bit0( X ) ) = bit0( X ) }.
% 0.92/1.40 { bit1( ti( int, X ) ) = bit1( X ) }.
% 0.92/1.40 { ti( int, bit1( X ) ) = bit1( X ) }.
% 0.92/1.40 { ti( int, min ) = min }.
% 0.92/1.40 { ti( int, pls ) = pls }.
% 0.92/1.40 { ! number( X ), number_number_of( X, ti( int, Y ) ) = number_number_of( X
% 0.92/1.40 , Y ) }.
% 0.92/1.40 { ! number( X ), ti( X, number_number_of( X, Y ) ) = number_number_of( X, Y
% 0.92/1.40 ) }.
% 0.92/1.40 { ! order( X ), ! ord_less( X, ti( X, Y ), Z ), ord_less( X, Y, Z ) }.
% 0.92/1.40 { ! order( X ), ! ord_less( X, Y, Z ), ord_less( X, ti( X, Y ), Z ) }.
% 0.92/1.40 { ! order( X ), ! ord_less( X, Y, ti( X, Z ) ), ord_less( X, Y, Z ) }.
% 0.92/1.40 { ! order( X ), ! ord_less( X, Y, Z ), ord_less( X, Y, ti( X, Z ) ) }.
% 0.92/1.40 { ! order( X ), ! ord_less_eq( X, ti( X, Y ), Z ), ord_less_eq( X, Y, Z ) }
% 0.92/1.40 .
% 0.92/1.40 { ! order( X ), ! ord_less_eq( X, Y, Z ), ord_less_eq( X, ti( X, Y ), Z ) }
% 0.92/1.40 .
% 0.92/1.40 { ! order( X ), ! ord_less_eq( X, Y, ti( X, Z ) ), ord_less_eq( X, Y, Z ) }
% 0.92/1.40 .
% 0.92/1.40 { ! order( X ), ! ord_less_eq( X, Y, Z ), ord_less_eq( X, Y, ti( X, Z ) ) }
% 0.92/1.40 .
% 0.92/1.40 { ! power( X ), power_power( X, ti( X, Y ), Z ) = power_power( X, Y, Z ) }
% 0.92/1.40 .
% 0.92/1.40 { ! power( X ), power_power( X, Y, ti( nat, Z ) ) = power_power( X, Y, Z )
% 0.92/1.40 }.
% 0.92/1.40 { ! power( X ), ti( X, power_power( X, Y, Z ) ) = power_power( X, Y, Z ) }
% 0.92/1.40 .
% 0.92/1.40 { legendre( ti( int, X ), Y ) = legendre( X, Y ) }.
% 0.92/1.40 { legendre( X, ti( int, Y ) ) = legendre( X, Y ) }.
% 0.92/1.40 { ti( int, legendre( X, Y ) ) = legendre( X, Y ) }.
% 0.92/1.40 { ! quadRes( ti( int, X ), Y ), quadRes( X, Y ) }.
% 0.92/1.40 { ! quadRes( X, Y ), quadRes( ti( int, X ), Y ) }.
% 0.92/1.40 { ! quadRes( X, ti( int, Y ) ), quadRes( X, Y ) }.
% 0.92/1.40 { ! quadRes( X, Y ), quadRes( X, ti( int, Y ) ) }.
% 0.92/1.40 { ! dvd( X ), ! dvd_dvd( X, ti( X, Y ), Z ), dvd_dvd( X, Y, Z ) }.
% 0.92/1.40 { ! dvd( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, ti( X, Y ), Z ) }.
% 0.92/1.40 { ! dvd( X ), ! dvd_dvd( X, Y, ti( X, Z ) ), dvd_dvd( X, Y, Z ) }.
% 0.92/1.40 { ! dvd( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, Y, ti( X, Z ) ) }.
% 0.92/1.40 { ! twoSqu420862341sum2sq( ti( int, X ) ), twoSqu420862341sum2sq( X ) }.
% 0.92/1.40 { ! twoSqu420862341sum2sq( X ), twoSqu420862341sum2sq( ti( int, X ) ) }.
% 0.92/1.40 { ti( int, m ) = m }.
% 0.92/1.40 { ti( int, s1 ) = s1 }.
% 0.92/1.40 { ti( int, s ) = s }.
% 0.92/1.40 { ti( int, t ) = t }.
% 0.92/1.40 { ord_less( int, t, zero_zero( int ) ) }.
% 0.92/1.40 { ord_less( int, t, one_one( int ) ) }.
% 0.92/1.40 { ord_less( int, times_times( int, plus_plus( int, times_times( int,
% 0.92/1.40 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.92/1.40 ), t ), times_times( int, plus_plus( int, times_times( int,
% 0.92/1.40 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.92/1.40 ), zero_zero( int ) ) ) }.
% 0.92/1.40 { plus_plus( int, power_power( int, s, number_number_of( nat, bit0( bit1(
% 0.92/1.40 pls ) ) ) ), one_one( int ) ) = times_times( int, plus_plus( int,
% 0.92/1.40 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.92/1.40 ), one_one( int ) ), t ) }.
% 0.92/1.40 { ! t = zero_zero( int ), plus_plus( int, power_power( int, s,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), one_one( int ) ) =
% 0.92/1.40 zero_zero( int ) }.
% 0.92/1.40 { ! ord_less_eq( int, one_one( int ), t ) }.
% 0.92/1.40 { ord_less( int, zero_zero( int ), plus_plus( int, times_times( int,
% 0.92/1.40 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.92/1.40 ) ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ord_less( X, plus_plus( X, power_power( X, Y,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), zero_zero( X ) ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ord_less( X, zero_zero( X ), plus_plus( X,
% 0.92/1.40 power_power( X, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.92/1.40 power_power( X, Z, number_number_of( nat, bit0( bit1( pls ) ) ) ) ) ), !
% 0.92/1.40 ti( X, Y ) = zero_zero( X ), ! ti( X, Z ) = zero_zero( X ) }.
% 0.92/1.40 { ! linordered_idom( X ), ti( X, Y ) = zero_zero( X ), ord_less( X,
% 0.92/1.40 zero_zero( X ), plus_plus( X, power_power( X, Y, number_number_of( nat,
% 0.92/1.40 bit0( bit1( pls ) ) ) ), power_power( X, Z, number_number_of( nat, bit0(
% 0.92/1.40 bit1( pls ) ) ) ) ) ) }.
% 0.92/1.40 { ! linordered_idom( X ), ti( X, Z ) = zero_zero( X ), ord_less( X,
% 0.92/1.40 zero_zero( X ), plus_plus( X, power_power( X, Y, number_number_of( nat,
% 0.92/1.40 bit0( bit1( pls ) ) ) ), power_power( X, Z, number_number_of( nat, bit0(
% 0.92/1.40 bit1( pls ) ) ) ) ) ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! plus_plus( X, power_power( X, Y,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) ) = zero_zero( X ), ti( X
% 0.92/1.40 , Y ) = zero_zero( X ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! plus_plus( X, power_power( X, Y,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) ) = zero_zero( X ), ti( X
% 0.92/1.40 , Z ) = zero_zero( X ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z ) =
% 0.92/1.40 zero_zero( X ), plus_plus( X, power_power( X, Y, number_number_of( nat,
% 0.92/1.40 bit0( bit1( pls ) ) ) ), power_power( X, Z, number_number_of( nat, bit0(
% 0.92/1.40 bit1( pls ) ) ) ) ) = zero_zero( X ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ord_less( X, power_power( X, Y,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), zero_zero( X ) ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ord_less( X, zero_zero( X ), power_power( X, Y
% 0.92/1.40 , number_number_of( nat, bit0( bit1( pls ) ) ) ) ), ! ti( X, Y ) =
% 0.92/1.40 zero_zero( X ) }.
% 0.92/1.40 { ! linordered_idom( X ), ti( X, Y ) = zero_zero( X ), ord_less( X,
% 0.92/1.40 zero_zero( X ), power_power( X, Y, number_number_of( nat, bit0( bit1( pls
% 0.92/1.40 ) ) ) ) ) }.
% 0.92/1.40 { ! semiring_1( X ), power_power( X, one_one( X ), number_number_of( nat,
% 0.92/1.40 bit0( bit1( pls ) ) ) ) = one_one( X ) }.
% 0.92/1.40 { ! semiring_1( X ), power_power( X, zero_zero( X ), number_number_of( nat
% 0.92/1.40 , bit0( bit1( pls ) ) ) ) = zero_zero( X ) }.
% 0.92/1.40 { ! ring_11004092258visors( X ), ! power_power( X, Y, number_number_of( nat
% 0.92/1.40 , bit0( bit1( pls ) ) ) ) = zero_zero( X ), ti( X, Y ) = zero_zero( X ) }
% 0.92/1.40 .
% 0.92/1.40 { ! ring_11004092258visors( X ), ! ti( X, Y ) = zero_zero( X ), power_power
% 0.92/1.40 ( X, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ) = zero_zero( X ) }
% 0.92/1.40 .
% 0.92/1.40 { ! number_ring( X ), plus_plus( X, one_one( X ), number_number_of( X, Y )
% 0.92/1.40 ) = number_number_of( X, plus_plus( int, bit1( pls ), Y ) ) }.
% 0.92/1.40 { ! number_ring( X ), plus_plus( X, number_number_of( X, Y ), one_one( X )
% 0.92/1.40 ) = number_number_of( X, plus_plus( int, Y, bit1( pls ) ) ) }.
% 0.92/1.40 { ord_less( int, t, plus_plus( int, times_times( int, number_number_of( int
% 0.92/1.40 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { plus_plus( int, power_power( int, s, number_number_of( nat, bit0( bit1(
% 0.92/1.40 pls ) ) ) ), one_one( int ) ) = times_times( int, plus_plus( int,
% 0.92/1.40 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.92/1.40 ), one_one( int ) ), skol1 ) }.
% 0.92/1.40 { zprime( plus_plus( int, times_times( int, number_number_of( int, bit0(
% 0.92/1.40 bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { twoSqu420862341sum2sq( times_times( int, plus_plus( int, times_times( int
% 0.92/1.40 , number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int
% 0.92/1.40 ) ), t ) ) }.
% 0.92/1.40 { ord_less_eq( int, X, X ) }.
% 0.92/1.40 { number_number_of( int, X ) = ti( int, X ) }.
% 0.92/1.40 { times_times( int, X, Y ) = times_times( int, Y, X ) }.
% 0.92/1.40 { ord_less_eq( int, X, Y ), ord_less_eq( int, Y, X ) }.
% 0.92/1.40 { times_times( int, number_number_of( int, X ), number_number_of( int, Y )
% 0.92/1.40 ) = number_number_of( int, times_times( int, X, Y ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, number_number_of( int, X ), number_number_of( int, Y
% 0.92/1.40 ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, number_number_of( int, X )
% 0.92/1.40 , number_number_of( int, Y ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X,
% 0.92/1.40 number_number_of( X, Y ), number_number_of( X, Z ) ), ord_less_eq( int, Y
% 0.92/1.40 , Z ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, Y, Z ),
% 0.92/1.40 ord_less_eq( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.92/1.40 { times_times( int, times_times( int, X, Y ), Z ) = times_times( int, X,
% 0.92/1.40 times_times( int, Y, Z ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ! ord_less_eq( int, Y, Z ), ord_less_eq( int
% 0.92/1.40 , X, Z ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ! ord_less_eq( int, Y, X ), ti( int, X ) = ti
% 0.92/1.40 ( int, Y ) }.
% 0.92/1.40 { power_power( int, X, plus_plus( nat, Y, Z ) ) = times_times( int,
% 0.92/1.40 power_power( int, X, Y ), power_power( int, X, Z ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit1( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit1( X ), bit1( Y ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit1( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit1( X ), bit1( Y ) ) }.
% 0.92/1.40 { ord_less_eq( int, pls, pls ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit0( X ), bit0( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit0( X ), bit0( Y ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit0( X ), bit0( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit0( X ), bit0( Y ) ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ! ti( int, X ) = ti( int, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ti( int, X ) = ti( int, Y ), ord_less( int, X
% 0.92/1.40 , Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, plus_plus( int, Z, X ),
% 0.92/1.40 plus_plus( int, Z, Y ) ) }.
% 0.92/1.40 { ! number_number_of( nat, X ) = zero_zero( nat ), ord_less_eq( int, X, pls
% 0.92/1.40 ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, pls ), number_number_of( nat, X ) = zero_zero( nat
% 0.92/1.40 ) }.
% 0.92/1.40 { ! zero_zero( nat ) = number_number_of( nat, X ), ord_less_eq( int, X, pls
% 0.92/1.40 ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, pls ), zero_zero( nat ) = number_number_of( nat, X
% 0.92/1.40 ) }.
% 0.92/1.40 { ! number_semiring( X ), ! ord_less_eq( int, pls, Y ), ! ord_less_eq( int
% 0.92/1.40 , pls, Z ), times_times( X, number_number_of( X, Y ), number_number_of( X
% 0.92/1.40 , Z ) ) = number_number_of( X, times_times( int, Y, Z ) ) }.
% 0.92/1.40 { ! number_ring( X ), times_times( X, number_number_of( X, Y ), times_times
% 0.92/1.40 ( X, number_number_of( X, Z ), T ) ) = times_times( X, number_number_of(
% 0.92/1.40 X, times_times( int, Y, Z ) ), T ) }.
% 0.92/1.40 { ! number_ring( X ), times_times( X, number_number_of( X, Y ),
% 0.92/1.40 number_number_of( X, Z ) ) = number_number_of( X, times_times( int, Y, Z
% 0.92/1.40 ) ) }.
% 0.92/1.40 { ! number_ring( X ), number_number_of( X, times_times( int, Y, Z ) ) =
% 0.92/1.40 times_times( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.92/1.40 { ! linord581940658strict( X ), ! ord_less_eq( X, plus_plus( X, times_times
% 0.92/1.40 ( X, Y, Y ), times_times( X, Z, Z ) ), zero_zero( X ) ), ti( X, Y ) =
% 0.92/1.40 zero_zero( X ) }.
% 0.92/1.40 { ! linord581940658strict( X ), ! ord_less_eq( X, plus_plus( X, times_times
% 0.92/1.40 ( X, Y, Y ), times_times( X, Z, Z ) ), zero_zero( X ) ), ti( X, Z ) =
% 0.92/1.40 zero_zero( X ) }.
% 0.92/1.40 { ! linord581940658strict( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z )
% 0.92/1.40 = zero_zero( X ), ord_less_eq( X, plus_plus( X, times_times( X, Y, Y ),
% 0.92/1.40 times_times( X, Z, Z ) ), zero_zero( X ) ) }.
% 0.92/1.40 { ! linordered_ring( X ), ord_less_eq( X, zero_zero( X ), plus_plus( X,
% 0.92/1.40 times_times( X, Y, Y ), times_times( X, Z, Z ) ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X,
% 0.92/1.40 number_number_of( X, Y ), zero_zero( X ) ), ord_less_eq( int, Y, pls ) }
% 0.92/1.40 .
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, Y, pls )
% 0.92/1.40 , ord_less_eq( X, number_number_of( X, Y ), zero_zero( X ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X, zero_zero(
% 0.92/1.40 X ), number_number_of( X, Y ) ), ord_less_eq( int, pls, Y ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, pls, Y )
% 0.92/1.40 , ord_less_eq( X, zero_zero( X ), number_number_of( X, Y ) ) }.
% 0.92/1.40 { ! ord_less( nat, zero_zero( nat ), number_number_of( nat, X ) ), ord_less
% 0.92/1.40 ( int, pls, X ) }.
% 0.92/1.40 { ! ord_less( int, pls, X ), ord_less( nat, zero_zero( nat ),
% 0.92/1.40 number_number_of( nat, X ) ) }.
% 0.92/1.40 { ! number( X ), ! linorder( X ), ! ord_less_eq( X, number_number_of( X, Y
% 0.92/1.40 ), number_number_of( X, Z ) ), ! ord_less( X, number_number_of( X, Z ),
% 0.92/1.40 number_number_of( X, Y ) ) }.
% 0.92/1.40 { ! number( X ), ! linorder( X ), ord_less( X, number_number_of( X, Z ),
% 0.92/1.40 number_number_of( X, Y ) ), ord_less_eq( X, number_number_of( X, Y ),
% 0.92/1.40 number_number_of( X, Z ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, pls, bit1( X ) ), ord_less_eq( int, pls, X ) }.
% 0.92/1.40 { ! ord_less_eq( int, pls, X ), ord_less_eq( int, pls, bit1( X ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit0( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit0( X ), bit1( Y ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit0( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit0( X ), bit1( Y ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit0( X ), pls ), ord_less_eq( int, X, pls ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, pls ), ord_less_eq( int, bit0( X ), pls ) }.
% 0.92/1.40 { ! ord_less_eq( int, pls, bit0( X ) ), ord_less_eq( int, pls, X ) }.
% 0.92/1.40 { ! ord_less_eq( int, pls, X ), ord_less_eq( int, pls, bit0( X ) ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ! ord_less_eq( int, Z, T ), ord_less( int,
% 0.92/1.40 plus_plus( int, X, Z ), plus_plus( int, Y, T ) ) }.
% 0.92/1.40 { number_number_of( nat, pls ) = zero_zero( nat ) }.
% 0.92/1.40 { zero_zero( nat ) = number_number_of( nat, pls ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X,
% 0.92/1.40 number_number_of( X, Y ), one_one( X ) ), ord_less_eq( int, Y, bit1( pls
% 0.92/1.40 ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, Y, bit1(
% 0.92/1.40 pls ) ), ord_less_eq( X, number_number_of( X, Y ), one_one( X ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X, one_one( X
% 0.92/1.40 ), number_number_of( X, Y ) ), ord_less_eq( int, bit1( pls ), Y ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, bit1( pls
% 0.92/1.40 ), Y ), ord_less_eq( X, one_one( X ), number_number_of( X, Y ) ) }.
% 0.92/1.40 { plus_plus( nat, one_one( nat ), one_one( nat ) ) = number_number_of( nat
% 0.92/1.40 , bit0( bit1( pls ) ) ) }.
% 0.92/1.40 { times_times( int, pls, X ) = pls }.
% 0.92/1.40 { times_times( int, bit0( X ), Y ) = bit0( times_times( int, X, Y ) ) }.
% 0.92/1.40 { ! ord_less( int, number_number_of( int, X ), number_number_of( int, Y ) )
% 0.92/1.40 , ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, number_number_of( int, X ),
% 0.92/1.40 number_number_of( int, Y ) ) }.
% 0.92/1.40 { times_times( int, X, one_one( int ) ) = ti( int, X ) }.
% 0.92/1.40 { times_times( int, one_one( int ), X ) = ti( int, X ) }.
% 0.92/1.40 { plus_plus( int, number_number_of( int, X ), number_number_of( int, Y ) )
% 0.92/1.40 = number_number_of( int, plus_plus( int, X, Y ) ) }.
% 0.92/1.40 { times_times( int, plus_plus( int, X, Y ), Z ) = plus_plus( int,
% 0.92/1.40 times_times( int, X, Z ), times_times( int, Y, Z ) ) }.
% 0.92/1.40 { times_times( int, X, plus_plus( int, Y, Z ) ) = plus_plus( int,
% 0.92/1.40 times_times( int, X, Y ), times_times( int, X, Z ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit1( X ), pls ), ord_less( int, X, pls ) }.
% 0.92/1.40 { ! ord_less( int, X, pls ), ord_less_eq( int, bit1( X ), pls ) }.
% 0.92/1.40 { ! ord_less( int, pls, bit1( X ) ), ord_less_eq( int, pls, X ) }.
% 0.92/1.40 { ! ord_less_eq( int, pls, X ), ord_less( int, pls, bit1( X ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit1( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less_eq( int, bit1( X ), bit0( Y ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, bit1( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less_eq( int, bit1( X ), bit0( Y ) ) }.
% 0.92/1.40 { ! ord_less( int, bit0( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less( int, bit0( X ), bit1( Y ) ) }.
% 0.92/1.40 { ! ord_less( int, bit0( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less( int, bit0( X ), bit1( Y ) ) }.
% 0.92/1.40 { ! ord_less( nat, number_number_of( nat, X ), number_number_of( nat, Y ) )
% 0.92/1.40 , alpha1( X, Y ) }.
% 0.92/1.40 { ! ord_less( nat, number_number_of( nat, X ), number_number_of( nat, Y ) )
% 0.92/1.40 , ord_less( int, X, Y ) }.
% 0.92/1.40 { ! alpha1( X, Y ), ! ord_less( int, X, Y ), ord_less( nat,
% 0.92/1.40 number_number_of( nat, X ), number_number_of( nat, Y ) ) }.
% 0.92/1.40 { ! alpha1( X, Y ), ! ord_less( int, X, Y ), ord_less( int, pls, Y ) }.
% 0.92/1.40 { ord_less( int, X, Y ), alpha1( X, Y ) }.
% 0.92/1.40 { ! ord_less( int, pls, Y ), alpha1( X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, one_one( int ), X ), ord_less( int, zero_zero( int )
% 0.92/1.40 , X ) }.
% 0.92/1.40 { ! ord_less( int, zero_zero( int ), X ), ord_less_eq( int, one_one( int )
% 0.92/1.40 , X ) }.
% 0.92/1.40 { number_number_of( nat, bit1( pls ) ) = one_one( nat ) }.
% 0.92/1.40 { one_one( nat ) = number_number_of( nat, bit1( pls ) ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less_eq( int, plus_plus( int, X, one_one(
% 0.92/1.40 int ) ), Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, plus_plus( int, X, one_one( int ) ), Y ), ord_less(
% 0.92/1.40 int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less_eq( int, plus_plus( int, X, one_one(
% 0.92/1.40 int ) ), Y ) }.
% 0.92/1.40 { ! ord_less( int, X, plus_plus( int, Y, one_one( int ) ) ), ord_less_eq(
% 0.92/1.40 int, X, Y ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less( int, X, plus_plus( int, Y, one_one
% 0.92/1.40 ( int ) ) ) }.
% 0.92/1.40 { ! number_semiring( X ), ! ord_less_eq( int, pls, Y ), ! ord_less_eq( int
% 0.92/1.40 , pls, Z ), plus_plus( X, number_number_of( X, Y ), number_number_of( X,
% 0.92/1.40 Z ) ) = number_number_of( X, plus_plus( int, Y, Z ) ) }.
% 0.92/1.40 { ! ord_less( int, Y, pls ), plus_plus( nat, number_number_of( nat, Y ),
% 0.92/1.40 number_number_of( nat, X ) ) = number_number_of( nat, X ) }.
% 0.92/1.40 { ord_less( int, Y, pls ), ! ord_less( int, X, pls ), plus_plus( nat,
% 0.92/1.40 number_number_of( nat, Y ), number_number_of( nat, X ) ) =
% 0.92/1.40 number_number_of( nat, Y ) }.
% 0.92/1.40 { ord_less( int, Y, pls ), ord_less( int, X, pls ), plus_plus( nat,
% 0.92/1.40 number_number_of( nat, Y ), number_number_of( nat, X ) ) =
% 0.92/1.40 number_number_of( nat, plus_plus( int, Y, X ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, zero_zero( int ), X ), ord_less( int, zero_zero( int
% 0.92/1.40 ), plus_plus( int, one_one( int ), X ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! ring_char_0( X ), ! number_number_of( X, Y ) =
% 0.92/1.40 number_number_of( X, Z ), ti( int, Y ) = ti( int, Z ) }.
% 0.92/1.40 { ! number_ring( X ), ! ring_char_0( X ), ! ti( int, Y ) = ti( int, Z ),
% 0.92/1.40 number_number_of( X, Y ) = number_number_of( X, Z ) }.
% 0.92/1.40 { ! number( X ), ! number_number_of( X, Y ) = ti( X, Z ), ti( X, Z ) =
% 0.92/1.40 number_number_of( X, Y ) }.
% 0.92/1.40 { ! number( X ), ! ti( X, Z ) = number_number_of( X, Y ), number_number_of
% 0.92/1.40 ( X, Y ) = ti( X, Z ) }.
% 0.92/1.40 { ! bit1( X ) = bit1( Y ), ti( int, X ) = ti( int, Y ) }.
% 0.92/1.40 { ! ti( int, X ) = ti( int, Y ), bit1( X ) = bit1( Y ) }.
% 0.92/1.40 { ! bit0( X ) = bit0( Y ), ti( int, X ) = ti( int, Y ) }.
% 0.92/1.40 { ! ti( int, X ) = ti( int, Y ), bit0( X ) = bit0( Y ) }.
% 0.92/1.40 { ord_less( int, X, Y ), ti( int, X ) = ti( int, Y ), ord_less( int, Y, X )
% 0.92/1.40 }.
% 0.92/1.40 { ! linord581940658strict( X ), ! plus_plus( X, times_times( X, Y, Y ),
% 0.92/1.40 times_times( X, Z, Z ) ) = zero_zero( X ), ti( X, Y ) = zero_zero( X ) }
% 0.92/1.40 .
% 0.92/1.40 { ! linord581940658strict( X ), ! plus_plus( X, times_times( X, Y, Y ),
% 0.92/1.40 times_times( X, Z, Z ) ) = zero_zero( X ), ti( X, Z ) = zero_zero( X ) }
% 0.92/1.40 .
% 0.92/1.40 { ! linord581940658strict( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z )
% 0.92/1.40 = zero_zero( X ), plus_plus( X, times_times( X, Y, Y ), times_times( X,
% 0.92/1.40 Z, Z ) ) = zero_zero( X ) }.
% 0.92/1.40 { ! number( X ), ! semiring( X ), times_times( X, plus_plus( X, Y, Z ),
% 0.92/1.40 number_number_of( X, T ) ) = plus_plus( X, times_times( X, Y,
% 0.92/1.40 number_number_of( X, T ) ), times_times( X, Z, number_number_of( X, T ) )
% 0.92/1.40 ) }.
% 0.92/1.40 { ! number( X ), ! semiring( X ), times_times( X, number_number_of( X, Y )
% 0.92/1.40 , plus_plus( X, Z, T ) ) = plus_plus( X, times_times( X, number_number_of
% 0.92/1.40 ( X, Y ), Z ), times_times( X, number_number_of( X, Y ), T ) ) }.
% 0.92/1.40 { plus_plus( int, plus_plus( int, X, Y ), Z ) = plus_plus( int, X,
% 0.92/1.40 plus_plus( int, Y, Z ) ) }.
% 0.92/1.40 { plus_plus( int, X, plus_plus( int, Y, Z ) ) = plus_plus( int, Y,
% 0.92/1.40 plus_plus( int, X, Z ) ) }.
% 0.92/1.40 { plus_plus( int, X, Y ) = plus_plus( int, Y, X ) }.
% 0.92/1.40 { zero_zero( int ) = number_number_of( int, pls ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ! ord_less( int, zero_zero( int ), Z ), ord_less
% 0.92/1.40 ( int, times_times( int, Z, X ), times_times( int, Z, Y ) ) }.
% 0.92/1.40 { ! linordered_semidom( X ), ! power_power( X, Y, number_number_of( nat,
% 0.92/1.40 bit0( bit1( pls ) ) ) ) = power_power( X, Z, number_number_of( nat, bit0
% 0.92/1.40 ( bit1( pls ) ) ) ), ! ord_less_eq( X, zero_zero( X ), Y ), ! ord_less_eq
% 0.92/1.40 ( X, zero_zero( X ), Z ), ti( X, Y ) = ti( X, Z ) }.
% 0.92/1.40 { ! linordered_semidom( X ), ! ord_less_eq( X, power_power( X, Y,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), ! ord_less_eq( X,
% 0.92/1.40 zero_zero( X ), Z ), ord_less_eq( X, Y, Z ) }.
% 0.92/1.40 { ! linordered_idom( X ), ord_less_eq( X, zero_zero( X ), power_power( X, Y
% 0.92/1.40 , number_number_of( nat, bit0( bit1( pls ) ) ) ) ) }.
% 0.92/1.40 { ! linordered_semidom( X ), ! ord_less( X, power_power( X, Y,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), ! ord_less_eq( X,
% 0.92/1.40 zero_zero( X ), Z ), ord_less( X, Y, Z ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ord_less_eq( X, plus_plus( X, power_power( X, Y
% 0.92/1.40 , number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), zero_zero( X ) ), ti( X
% 0.92/1.40 , Y ) = zero_zero( X ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ord_less_eq( X, plus_plus( X, power_power( X, Y
% 0.92/1.40 , number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), zero_zero( X ) ), ti( X
% 0.92/1.40 , Z ) = zero_zero( X ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z ) =
% 0.92/1.40 zero_zero( X ), ord_less_eq( X, plus_plus( X, power_power( X, Y,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), zero_zero( X ) ) }.
% 0.92/1.40 { ! linordered_idom( X ), ord_less_eq( X, zero_zero( X ), plus_plus( X,
% 0.92/1.40 power_power( X, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.92/1.40 power_power( X, Z, number_number_of( nat, bit0( bit1( pls ) ) ) ) ) ) }.
% 0.92/1.40 { ! linord581940658strict( X ), ! ord_less( X, zero_zero( X ), plus_plus( X
% 0.92/1.40 , times_times( X, Y, Y ), times_times( X, Z, Z ) ) ), ! ti( X, Y ) =
% 0.92/1.40 zero_zero( X ), ! ti( X, Z ) = zero_zero( X ) }.
% 0.92/1.40 { ! linord581940658strict( X ), ti( X, Y ) = zero_zero( X ), ord_less( X,
% 0.92/1.40 zero_zero( X ), plus_plus( X, times_times( X, Y, Y ), times_times( X, Z,
% 0.92/1.40 Z ) ) ) }.
% 0.92/1.40 { ! linord581940658strict( X ), ti( X, Z ) = zero_zero( X ), ord_less( X,
% 0.92/1.40 zero_zero( X ), plus_plus( X, times_times( X, Y, Y ), times_times( X, Z,
% 0.92/1.40 Z ) ) ) }.
% 0.92/1.40 { ! linordered_ring( X ), ! ord_less( X, plus_plus( X, times_times( X, Y, Y
% 0.92/1.40 ), times_times( X, Z, Z ) ), zero_zero( X ) ) }.
% 0.92/1.40 { ! number_ring( X ), times_times( X, number_number_of( X, bit1( pls ) ), Y
% 0.92/1.40 ) = ti( X, Y ) }.
% 0.92/1.40 { ! number_ring( X ), times_times( X, Y, number_number_of( X, bit1( pls ) )
% 0.92/1.40 ) = ti( X, Y ) }.
% 0.92/1.40 { one_one( int ) = number_number_of( int, bit1( pls ) ) }.
% 0.92/1.40 { times_times( int, bit1( X ), Y ) = plus_plus( int, bit0( times_times( int
% 0.92/1.40 , X, Y ) ), Y ) }.
% 0.92/1.40 { ! ord_less( int, zero_zero( int ), X ), ! times_times( int, X, Y ) =
% 0.92/1.40 one_one( int ), ti( int, X ) = one_one( int ) }.
% 0.92/1.40 { ! ord_less( int, zero_zero( int ), X ), ! times_times( int, X, Y ) =
% 0.92/1.40 one_one( int ), ti( int, Y ) = one_one( int ) }.
% 0.92/1.40 { ! ord_less( int, zero_zero( int ), X ), ! ti( int, X ) = one_one( int ),
% 0.92/1.40 ! ti( int, Y ) = one_one( int ), times_times( int, X, Y ) = one_one( int
% 0.92/1.40 ) }.
% 0.92/1.40 { ! linord219039673up_add( X ), ! plus_plus( X, Y, Y ) = zero_zero( X ), ti
% 0.92/1.40 ( X, Y ) = zero_zero( X ) }.
% 0.92/1.40 { ! linord219039673up_add( X ), ! ti( X, Y ) = zero_zero( X ), plus_plus( X
% 0.92/1.40 , Y, Y ) = zero_zero( X ) }.
% 0.92/1.40 { ! bit1( X ) = pls }.
% 0.92/1.40 { ! pls = bit1( X ) }.
% 0.92/1.40 { ! bit1( X ) = bit0( Y ) }.
% 0.92/1.40 { ! bit0( X ) = bit1( Y ) }.
% 0.92/1.40 { ! bit0( X ) = pls, ti( int, X ) = pls }.
% 0.92/1.40 { ! ti( int, X ) = pls, bit0( X ) = pls }.
% 0.92/1.40 { ! pls = bit0( X ), pls = ti( int, X ) }.
% 0.92/1.40 { ! pls = ti( int, X ), pls = bit0( X ) }.
% 0.92/1.40 { bit0( pls ) = pls }.
% 0.92/1.40 { pls = zero_zero( int ) }.
% 0.92/1.40 { ! ord_less( int, bit1( X ), bit1( Y ) ), ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, bit1( X ), bit1( Y ) ) }.
% 0.92/1.40 { ! ord_less( int, bit1( X ), bit1( Y ) ), ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, bit1( X ), bit1( Y ) ) }.
% 0.92/1.40 { ! ord_less( int, pls, pls ) }.
% 0.92/1.40 { ! ord_less( int, bit0( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, bit0( X ), bit0( Y ) ) }.
% 0.92/1.40 { ! ord_less( int, bit0( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, bit0( X ), bit0( Y ) ) }.
% 0.92/1.40 { ! zero_zero( int ) = one_one( int ) }.
% 0.92/1.40 { plus_plus( int, X, pls ) = ti( int, X ) }.
% 0.92/1.40 { plus_plus( int, pls, X ) = ti( int, X ) }.
% 0.92/1.40 { plus_plus( int, bit0( X ), bit0( Y ) ) = bit0( plus_plus( int, X, Y ) ) }
% 0.92/1.40 .
% 0.92/1.40 { bit0( X ) = plus_plus( int, X, X ) }.
% 0.92/1.40 { plus_plus( int, X, zero_zero( int ) ) = ti( int, X ) }.
% 0.92/1.40 { plus_plus( int, zero_zero( int ), X ) = ti( int, X ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, plus_plus( int, X, Z ), plus_plus
% 0.92/1.40 ( int, Y, Z ) ) }.
% 0.92/1.40 { ! number_ring( X ), times_times( X, plus_plus( X, one_one( X ), one_one(
% 0.92/1.40 X ) ), number_number_of( X, Y ) ) = number_number_of( X, bit0( Y ) ) }.
% 0.92/1.40 { ! monoid_mult( X ), power_power( X, Y, number_number_of( nat, bit1( bit1
% 0.92/1.40 ( pls ) ) ) ) = times_times( X, times_times( X, Y, Y ), Y ) }.
% 0.92/1.40 { ! number_semiring( X ), times_times( X, number_number_of( X, bit0( bit1(
% 0.92/1.40 pls ) ) ), Y ) = plus_plus( X, Y, Y ) }.
% 0.92/1.40 { ! number_ring( X ), times_times( X, number_number_of( X, bit0( bit1( pls
% 0.92/1.40 ) ) ), Y ) = plus_plus( X, Y, Y ) }.
% 0.92/1.40 { ! number_semiring( X ), times_times( X, Y, number_number_of( X, bit0(
% 0.92/1.40 bit1( pls ) ) ) ) = plus_plus( X, Y, Y ) }.
% 0.92/1.40 { ! number_ring( X ), times_times( X, Y, number_number_of( X, bit0( bit1(
% 0.92/1.40 pls ) ) ) ) = plus_plus( X, Y, Y ) }.
% 0.92/1.40 { ! monoid_mult( X ), power_power( X, Y, number_number_of( nat, bit0( bit1
% 0.92/1.40 ( pls ) ) ) ) = times_times( X, Y, Y ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ord_less( X, plus_plus( X, Y, Y ), zero_zero( X
% 0.92/1.40 ) ), ord_less( X, Y, zero_zero( X ) ) }.
% 0.92/1.40 { ! linordered_idom( X ), ! ord_less( X, Y, zero_zero( X ) ), ord_less( X,
% 0.92/1.40 plus_plus( X, Y, Y ), zero_zero( X ) ) }.
% 0.92/1.40 { ! number_semiring( X ), number_number_of( X, pls ) = zero_zero( X ) }.
% 0.92/1.40 { ! number_ring( X ), number_number_of( X, pls ) = zero_zero( X ) }.
% 0.92/1.40 { ! number_ring( X ), zero_zero( X ) = number_number_of( X, pls ) }.
% 0.92/1.40 { ! number_ring( X ), plus_plus( X, number_number_of( X, pls ), Y ) = ti( X
% 0.92/1.40 , Y ) }.
% 0.92/1.40 { ! number_ring( X ), plus_plus( X, Y, number_number_of( X, pls ) ) = ti( X
% 0.92/1.40 , Y ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X,
% 0.92/1.40 number_number_of( X, Y ), number_number_of( X, Z ) ), ord_less( int, Y, Z
% 0.92/1.40 ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, Y, Z ),
% 0.92/1.40 ord_less( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.92/1.40 { ! number_ring( X ), plus_plus( X, number_number_of( X, Y ), plus_plus( X
% 0.92/1.40 , number_number_of( X, Z ), T ) ) = plus_plus( X, number_number_of( X,
% 0.92/1.40 plus_plus( int, Y, Z ) ), T ) }.
% 0.92/1.40 { ! number_ring( X ), plus_plus( X, number_number_of( X, Y ),
% 0.92/1.40 number_number_of( X, Z ) ) = number_number_of( X, plus_plus( int, Y, Z )
% 0.92/1.40 ) }.
% 0.92/1.40 { ! number_ring( X ), number_number_of( X, plus_plus( int, Y, Z ) ) =
% 0.92/1.40 plus_plus( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.92/1.40 { ! ord_less( int, bit1( X ), pls ), ord_less( int, X, pls ) }.
% 0.92/1.40 { ! ord_less( int, X, pls ), ord_less( int, bit1( X ), pls ) }.
% 0.92/1.40 { ! ord_less( int, bit1( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, bit1( X ), bit0( Y ) ) }.
% 0.92/1.40 { ! ord_less( int, bit1( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, bit1( X ), bit0( Y ) ) }.
% 0.92/1.40 { ! ord_less( int, bit1( X ), zero_zero( int ) ), ord_less( int, X,
% 0.92/1.40 zero_zero( int ) ) }.
% 0.92/1.40 { ! ord_less( int, X, zero_zero( int ) ), ord_less( int, bit1( X ),
% 0.92/1.40 zero_zero( int ) ) }.
% 0.92/1.40 { ! ord_less( int, bit0( X ), pls ), ord_less( int, X, pls ) }.
% 0.92/1.40 { ! ord_less( int, X, pls ), ord_less( int, bit0( X ), pls ) }.
% 0.92/1.40 { ! ord_less( int, pls, bit0( X ) ), ord_less( int, pls, X ) }.
% 0.92/1.40 { ! ord_less( int, pls, X ), ord_less( int, pls, bit0( X ) ) }.
% 0.92/1.40 { ! ord_less( int, pls, zero_zero( int ) ) }.
% 0.92/1.40 { ! ord_less( int, bit0( X ), zero_zero( int ) ), ord_less( int, X,
% 0.92/1.40 zero_zero( int ) ) }.
% 0.92/1.40 { ! ord_less( int, X, zero_zero( int ) ), ord_less( int, bit0( X ),
% 0.92/1.40 zero_zero( int ) ) }.
% 0.92/1.40 { plus_plus( int, bit1( X ), bit0( Y ) ) = bit1( plus_plus( int, X, Y ) ) }
% 0.92/1.40 .
% 0.92/1.40 { plus_plus( int, bit0( X ), bit1( Y ) ) = bit1( plus_plus( int, X, Y ) ) }
% 0.92/1.40 .
% 0.92/1.40 { ord_less( int, zero_zero( int ), one_one( int ) ) }.
% 0.92/1.40 { bit1( X ) = plus_plus( int, plus_plus( int, one_one( int ), X ), X ) }.
% 0.92/1.40 { ! plus_plus( int, plus_plus( int, one_one( int ), X ), X ) = zero_zero(
% 0.92/1.40 int ) }.
% 0.92/1.40 { ! ord_less( int, X, plus_plus( int, Y, one_one( int ) ) ), ord_less( int
% 0.92/1.40 , X, Y ), ti( int, X ) = ti( int, Y ) }.
% 0.92/1.40 { ! ord_less( int, X, Y ), ord_less( int, X, plus_plus( int, Y, one_one(
% 0.92/1.40 int ) ) ) }.
% 0.92/1.40 { ! ti( int, X ) = ti( int, Y ), ord_less( int, X, plus_plus( int, Y,
% 0.92/1.40 one_one( int ) ) ) }.
% 0.92/1.40 { ! monoid_mult( X ), ! number( X ), power_power( X, number_number_of( X, Y
% 0.92/1.40 ), number_number_of( nat, bit0( bit1( pls ) ) ) ) = times_times( X,
% 0.92/1.40 number_number_of( X, Y ), number_number_of( X, Y ) ) }.
% 0.92/1.40 { ! number_semiring( X ), power_power( X, plus_plus( X, Y, Z ),
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ) = plus_plus( X, plus_plus
% 0.92/1.40 ( X, power_power( X, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.92/1.40 power_power( X, Z, number_number_of( nat, bit0( bit1( pls ) ) ) ) ),
% 0.92/1.40 times_times( X, times_times( X, number_number_of( X, bit0( bit1( pls ) )
% 0.92/1.40 ), Y ), Z ) ) }.
% 0.92/1.40 { ! number_ring( X ), number_number_of( X, bit0( Y ) ) = plus_plus( X,
% 0.92/1.40 plus_plus( X, zero_zero( X ), number_number_of( X, Y ) ),
% 0.92/1.40 number_number_of( X, Y ) ) }.
% 0.92/1.40 { ! number_ring( X ), number_number_of( X, bit1( Y ) ) = plus_plus( X,
% 0.92/1.40 plus_plus( X, one_one( X ), number_number_of( X, Y ) ), number_number_of
% 0.92/1.40 ( X, Y ) ) }.
% 0.92/1.40 { ! number_semiring( X ), number_number_of( X, bit1( pls ) ) = one_one( X )
% 0.92/1.40 }.
% 0.92/1.40 { ! number_ring( X ), number_number_of( X, bit1( pls ) ) = one_one( X ) }.
% 0.92/1.40 { ! number_ring( X ), one_one( X ) = number_number_of( X, bit1( pls ) ) }.
% 0.92/1.40 { ! ord_less( int, plus_plus( int, plus_plus( int, one_one( int ), X ), X )
% 0.92/1.40 , zero_zero( int ) ), ord_less( int, X, zero_zero( int ) ) }.
% 0.92/1.40 { ! ord_less( int, X, zero_zero( int ) ), ord_less( int, plus_plus( int,
% 0.92/1.40 plus_plus( int, one_one( int ), X ), X ), zero_zero( int ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X,
% 0.92/1.40 number_number_of( X, Y ), zero_zero( X ) ), ord_less( int, Y, pls ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, Y, pls ),
% 0.92/1.40 ord_less( X, number_number_of( X, Y ), zero_zero( X ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X, zero_zero( X )
% 0.92/1.40 , number_number_of( X, Y ) ), ord_less( int, pls, Y ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, pls, Y ),
% 0.92/1.40 ord_less( X, zero_zero( X ), number_number_of( X, Y ) ) }.
% 0.92/1.40 { ! number_semiring( X ), plus_plus( X, one_one( X ), one_one( X ) ) =
% 0.92/1.40 number_number_of( X, bit0( bit1( pls ) ) ) }.
% 0.92/1.40 { ! number_ring( X ), plus_plus( X, one_one( X ), one_one( X ) ) =
% 0.92/1.40 number_number_of( X, bit0( bit1( pls ) ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X,
% 0.92/1.40 number_number_of( X, Y ), one_one( X ) ), ord_less( int, Y, bit1( pls ) )
% 0.92/1.40 }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, Y, bit1( pls
% 0.92/1.40 ) ), ord_less( X, number_number_of( X, Y ), one_one( X ) ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X, one_one( X ),
% 0.92/1.40 number_number_of( X, Y ) ), ord_less( int, bit1( pls ), Y ) }.
% 0.92/1.40 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, bit1( pls )
% 0.92/1.40 , Y ), ord_less( X, one_one( X ), number_number_of( X, Y ) ) }.
% 0.92/1.40 { dvd_dvd( int, plus_plus( int, times_times( int, number_number_of( int,
% 0.92/1.40 bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), plus_plus( int,
% 0.92/1.40 power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.92/1.40 one_one( int ) ) ) }.
% 0.92/1.40 { power_power( int, plus_plus( int, X, Y ), number_number_of( nat, bit1(
% 0.92/1.40 bit1( pls ) ) ) ) = plus_plus( int, plus_plus( int, plus_plus( int,
% 0.92/1.40 power_power( int, X, number_number_of( nat, bit1( bit1( pls ) ) ) ),
% 0.92/1.40 times_times( int, times_times( int, number_number_of( int, bit1( bit1(
% 0.92/1.40 pls ) ) ), power_power( int, X, number_number_of( nat, bit0( bit1( pls )
% 0.92/1.40 ) ) ) ), Y ) ), times_times( int, times_times( int, number_number_of(
% 0.92/1.40 int, bit1( bit1( pls ) ) ), X ), power_power( int, Y, number_number_of(
% 0.92/1.40 nat, bit0( bit1( pls ) ) ) ) ) ), power_power( int, Y, number_number_of(
% 0.92/1.40 nat, bit1( bit1( pls ) ) ) ) ) }.
% 0.92/1.40 { power_power( int, plus_plus( int, X, Y ), number_number_of( nat, bit0(
% 0.92/1.40 bit1( pls ) ) ) ) = plus_plus( int, plus_plus( int, power_power( int, X,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ) ), times_times( int,
% 0.92/1.40 times_times( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), Y )
% 0.92/1.40 ), power_power( int, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ) )
% 0.92/1.40 }.
% 0.92/1.40 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X,
% 0.92/1.40 number_number_of( int, bit0( bit1( pls ) ) ) ), ti( int, X ) = zero_zero
% 0.92/1.40 ( int ), ti( int, X ) = one_one( int ) }.
% 0.92/1.40 { ord_less_eq( int, zero_zero( int ), s ) }.
% 0.92/1.40 { ord_less( int, s, plus_plus( int, times_times( int, number_number_of( int
% 0.92/1.40 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { zcong( s1, s, plus_plus( int, times_times( int, number_number_of( int,
% 0.92/1.40 bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { times_times( int, X, power_power( int, X, number_number_of( nat, bit0(
% 0.92/1.40 bit1( pls ) ) ) ) ) = power_power( int, X, number_number_of( nat, bit1(
% 0.92/1.40 bit1( pls ) ) ) ) }.
% 0.92/1.40 { ord_less_eq( int, X, power_power( int, X, number_number_of( nat, bit0(
% 0.92/1.40 bit1( pls ) ) ) ) ) }.
% 0.92/1.40 { ! ord_less( int, zero_zero( int ), X ), ! ti( int, X ) = plus_plus( int,
% 0.92/1.40 Y, times_times( int, X, Z ) ), ! ord_less( int, Y, X ), ord_less_eq( int
% 0.92/1.40 , one_one( int ), Z ) }.
% 0.92/1.40 { ! ord_less( int, zero_zero( int ), X ), ! ti( int, X ) = plus_plus( int,
% 0.92/1.40 Y, times_times( int, X, Z ) ), ! ord_less_eq( int, zero_zero( int ), Y )
% 0.92/1.40 , ord_less_eq( int, Z, one_one( int ) ) }.
% 0.92/1.40 { ord_less_eq( int, zero_zero( int ), number_number_of( int, bit0( bit1(
% 0.92/1.40 pls ) ) ) ) }.
% 0.92/1.40 { ! comm_semiring_1( X ), power_power( X, Y, times_times( nat,
% 0.92/1.40 number_number_of( nat, bit0( bit1( pls ) ) ), Z ) ) = times_times( X,
% 0.92/1.40 power_power( X, Y, Z ), power_power( X, Y, Z ) ) }.
% 0.92/1.40 { zcong( power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) )
% 0.92/1.40 ), power_power( int, s1, number_number_of( nat, bit0( bit1( pls ) ) ) )
% 0.92/1.40 , plus_plus( int, times_times( int, number_number_of( int, bit0( bit0(
% 0.92/1.40 bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { ord_less_eq( int, zero_zero( int ), skol2 ) }.
% 0.92/1.40 { ord_less( int, skol2, plus_plus( int, times_times( int, number_number_of
% 0.92/1.40 ( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { zcong( s1, skol2, plus_plus( int, times_times( int, number_number_of( int
% 0.92/1.40 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X, plus_plus
% 0.92/1.40 ( int, times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) )
% 0.92/1.40 ) ), m ), one_one( int ) ) ), ! zcong( s1, X, plus_plus( int,
% 0.92/1.40 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.92/1.40 ), one_one( int ) ) ), ti( int, X ) = ti( int, skol2 ) }.
% 0.92/1.40 { ord_less_eq( int, zero_zero( int ), skol3 ) }.
% 0.92/1.40 { ord_less( int, skol3, plus_plus( int, times_times( int, number_number_of
% 0.92/1.40 ( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { zcong( s1, skol3, plus_plus( int, times_times( int, number_number_of( int
% 0.92/1.40 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.92/1.40 { zcong( power_power( int, s1, number_number_of( nat, bit0( bit1( pls ) ) )
% 0.92/1.40 ), number_number_of( int, min ), plus_plus( int, times_times( int,
% 0.92/1.40 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.92/1.40 ) ) }.
% 0.92/1.40 { ! ord_less( nat, zero_zero( nat ), power_power( nat, X, Y ) ), Y =
% 0.92/1.40 zero_zero( nat ), ord_less( nat, zero_zero( nat ), X ) }.
% 0.92/1.40 { ! Y = zero_zero( nat ), ord_less( nat, zero_zero( nat ), power_power( nat
% 0.92/1.40 , X, Y ) ) }.
% 0.92/1.40 { ! ord_less( nat, zero_zero( nat ), X ), ord_less( nat, zero_zero( nat ),
% 0.92/1.40 power_power( nat, X, Y ) ) }.
% 0.92/1.40 { ! zprime( X ), ! dvd_dvd( int, X, power_power( int, Y, Z ) ), dvd_dvd(
% 0.92/1.40 int, X, Y ) }.
% 0.92/1.40 { ! comm_semiring_1( X ), power_power( X, power_power( X, Y, Z ), T ) =
% 0.92/1.40 power_power( X, Y, times_times( nat, Z, T ) ) }.
% 0.92/1.40 { ! zprime( X ), dvd_dvd( int, X, Y ), ! dvd_dvd( int, power_power( int, X
% 0.92/1.40 , Z ), times_times( int, T, Y ) ), dvd_dvd( int, power_power( int, X, Z )
% 0.92/1.40 , T ) }.
% 0.92/1.40 { ! zprime( X ), dvd_dvd( int, X, Y ), ! dvd_dvd( int, power_power( int, X
% 0.92/1.40 , Z ), times_times( int, Y, T ) ), dvd_dvd( int, power_power( int, X, Z )
% 0.92/1.40 , T ) }.
% 0.92/1.40 { power_power( int, power_power( int, X, Y ), Z ) = power_power( int, X,
% 0.92/1.40 times_times( nat, Y, Z ) ) }.
% 0.92/1.40 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.92/1.40 dvd_dvd( int, Y, X ) }.
% 0.92/1.40 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less_eq( int, zero_zero
% 0.92/1.40 ( int ), Y ), ! dvd_dvd( int, X, Y ), ! dvd_dvd( int, Y, X ), ti( int, X
% 0.92/1.40 ) = ti( int, Y ) }.
% 0.92/1.40 { ! dvd_dvd( int, times_times( int, X, Y ), times_times( int, X, Z ) ), ti
% 0.92/1.40 ( int, X ) = zero_zero( int ), dvd_dvd( int, Y, Z ) }.
% 0.92/1.40 { ! dvd_dvd( int, X, plus_plus( int, Y, times_times( int, X, Z ) ) ),
% 0.92/1.40 dvd_dvd( int, X, Y ) }.
% 0.92/1.40 { ! dvd_dvd( int, X, Y ), dvd_dvd( int, X, plus_plus( int, Y, times_times(
% 0.92/1.40 int, X, Z ) ) ) }.
% 0.92/1.40 { ! dvd_dvd( int, X, Y ), ! dvd_dvd( int, X, plus_plus( int, T, U ) ),
% 0.92/1.40 dvd_dvd( int, X, plus_plus( int, plus_plus( int, T, times_times( int, Z,
% 0.92/1.40 Y ) ), U ) ) }.
% 0.92/1.40 { ! dvd_dvd( int, X, Y ), ! dvd_dvd( int, X, plus_plus( int, plus_plus( int
% 0.92/1.40 , T, times_times( int, Z, Y ) ), U ) ), dvd_dvd( int, X, plus_plus( int,
% 0.92/1.40 T, U ) ) }.
% 0.92/1.40 { zprime( number_number_of( int, bit0( bit1( pls ) ) ) ) }.
% 0.92/1.40 { ! dvd_dvd( int, X, Y ), ! ord_less( int, zero_zero( int ), Y ),
% 0.92/1.40 ord_less_eq( int, X, Y ) }.
% 0.92/1.40 { ! twoSqu420862341sum2sq( X ), ! twoSqu420862341sum2sq( Y ),
% 0.92/1.40 twoSqu420862341sum2sq( times_times( int, X, Y ) ) }.
% 0.92/1.40 { ! ord_less_eq( nat, number_number_of( nat, X ), number_number_of( nat, Y
% 0.92/1.40 ) ), ord_less_eq( int, X, Y ), ord_less_eq( int, X, pls ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, Y ), ord_less_eq( nat, number_number_of( nat, X )
% 0.92/1.40 , number_number_of( nat, Y ) ) }.
% 0.92/1.40 { ! ord_less_eq( int, X, pls ), ord_less_eq( nat, number_number_of( nat, X
% 0.92/1.40 ), number_number_of( nat, Y ) ) }.
% 0.92/1.40 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ),
% 0.92/1.40 times_times( X, T, U ) ) = times_times( X, times_times( X, Y, T ),
% 0.92/1.40 times_times( X, Z, U ) ) }.
% 0.92/1.40 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ),
% 0.92/1.40 times_times( X, T, U ) ) = times_times( X, T, times_times( X, times_times
% 0.92/1.40 ( X, Y, Z ), U ) ) }.
% 0.92/1.40 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ),
% 0.92/1.40 times_times( X, T, U ) ) = times_times( X, Y, times_times( X, Z,
% 0.92/1.40 times_times( X, T, U ) ) ) }.
% 0.92/1.40 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ), T ) =
% 0.92/1.40 times_times( X, times_times( X, Y, T ), Z ) }.
% 0.92/1.40 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ), T ) =
% 0.92/1.40 times_times( X, Y, times_times( X, Z, T ) ) }.
% 0.92/1.40 { ! comm_semiring_1( X ), times_times( X, Y, times_times( X, Z, T ) ) =
% 0.92/1.41 times_times( X, times_times( X, Y, Z ), T ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, Y, times_times( X, Z, T ) ) =
% 0.92/1.41 times_times( X, Z, times_times( X, Y, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, Y, Z ) = times_times( X, Z, Y ) }
% 0.92/1.41 .
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, Y, Z ) = plus_plus( X, Z, Y ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, Y, plus_plus( X, Z, T ) ) =
% 0.92/1.41 plus_plus( X, Z, plus_plus( X, Y, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, Y, plus_plus( X, Z, T ) ) =
% 0.92/1.41 plus_plus( X, plus_plus( X, Y, Z ), T ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, plus_plus( X, Y, Z ), T ) =
% 0.92/1.41 plus_plus( X, Y, plus_plus( X, Z, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, plus_plus( X, Y, Z ), T ) =
% 0.92/1.41 plus_plus( X, plus_plus( X, Y, T ), Z ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, plus_plus( X, Y, Z ), plus_plus( X
% 0.92/1.41 , T, U ) ) = plus_plus( X, plus_plus( X, Y, T ), plus_plus( X, Z, U ) ) }
% 0.92/1.41 .
% 0.92/1.41 { ! comm_semiring_1( X ), power_power( X, Y, one_one( nat ) ) = ti( X, Y )
% 0.92/1.41 }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), power_power( nat, X, number_number_of
% 0.92/1.41 ( nat, Y ) ) ), number_number_of( nat, Y ) = zero_zero( nat ), ord_less(
% 0.92/1.41 nat, zero_zero( nat ), X ) }.
% 0.92/1.41 { ! number_number_of( nat, Y ) = zero_zero( nat ), ord_less( nat, zero_zero
% 0.92/1.41 ( nat ), power_power( nat, X, number_number_of( nat, Y ) ) ) }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), X ), ord_less( nat, zero_zero( nat ),
% 0.92/1.41 power_power( nat, X, number_number_of( nat, Y ) ) ) }.
% 0.92/1.41 { times_times( nat, X, number_number_of( nat, bit0( bit1( pls ) ) ) ) =
% 0.92/1.41 plus_plus( nat, X, X ) }.
% 0.92/1.41 { times_times( nat, number_number_of( nat, bit0( bit1( pls ) ) ), X ) =
% 0.92/1.41 plus_plus( nat, X, X ) }.
% 0.92/1.41 { ! ord_less( int, Y, pls ), times_times( nat, number_number_of( nat, Y ),
% 0.92/1.41 number_number_of( nat, X ) ) = zero_zero( nat ) }.
% 0.92/1.41 { ord_less( int, Y, pls ), times_times( nat, number_number_of( nat, Y ),
% 0.92/1.41 number_number_of( nat, X ) ) = number_number_of( nat, times_times( int, Y
% 0.92/1.41 , X ) ) }.
% 0.92/1.41 { ! ord_less( int, Z, pls ), times_times( nat, number_number_of( nat, Z ),
% 0.92/1.41 times_times( nat, number_number_of( nat, X ), Y ) ) = zero_zero( nat ) }
% 0.92/1.41 .
% 0.92/1.41 { ord_less( int, Z, pls ), times_times( nat, number_number_of( nat, Z ),
% 0.92/1.41 times_times( nat, number_number_of( nat, X ), Y ) ) = times_times( nat,
% 0.92/1.41 number_number_of( nat, times_times( int, Z, X ) ), Y ) }.
% 0.92/1.41 { ! monoid_mult( X ), power_power( X, Y, times_times( nat, number_number_of
% 0.92/1.41 ( nat, bit0( bit1( pls ) ) ), Z ) ) = power_power( X, power_power( X, Y,
% 0.92/1.41 Z ), number_number_of( nat, bit0( bit1( pls ) ) ) ) }.
% 0.92/1.41 { ! linordered_idom( X ), ! ord_less_eq( X, power_power( X, Y, times_times
% 0.92/1.41 ( nat, number_number_of( nat, bit0( bit1( pls ) ) ), Z ) ), zero_zero( X
% 0.92/1.41 ) ), ti( X, Y ) = zero_zero( X ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, zero_zero( X ), Y ) = zero_zero(
% 0.92/1.41 X ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, Y, zero_zero( X ) ) = zero_zero(
% 0.92/1.41 X ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, zero_zero( X ), Y ) = ti( X, Y ) }
% 0.92/1.41 .
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, Y, zero_zero( X ) ) = ti( X, Y ) }
% 0.92/1.41 .
% 0.92/1.41 { ! semiri456707255roduct( X ), ! ti( X, Y ) = plus_plus( X, Y, Z ), ti( X
% 0.92/1.41 , Z ) = zero_zero( X ) }.
% 0.92/1.41 { ! semiri456707255roduct( X ), ! ti( X, Z ) = zero_zero( X ), ti( X, Y ) =
% 0.92/1.41 plus_plus( X, Y, Z ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, Y, plus_plus( X, Z, T ) ) =
% 0.92/1.41 plus_plus( X, times_times( X, Y, Z ), times_times( X, Y, T ) ) }.
% 0.92/1.41 { ! semiri456707255roduct( X ), ti( X, T ) = ti( X, U ), ti( X, Y ) = ti( X
% 0.92/1.41 , Z ), ! plus_plus( X, times_times( X, T, Y ), times_times( X, U, Z ) ) =
% 0.92/1.41 plus_plus( X, times_times( X, T, Z ), times_times( X, U, Y ) ) }.
% 0.92/1.41 { ! semiri456707255roduct( X ), plus_plus( X, times_times( X, T, Y ),
% 0.92/1.41 times_times( X, U, Z ) ) = plus_plus( X, times_times( X, T, Z ),
% 0.92/1.41 times_times( X, U, Y ) ), ! ti( X, T ) = ti( X, U ) }.
% 0.92/1.41 { ! semiri456707255roduct( X ), plus_plus( X, times_times( X, T, Y ),
% 0.92/1.41 times_times( X, U, Z ) ) = plus_plus( X, times_times( X, T, Z ),
% 0.92/1.41 times_times( X, U, Y ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, plus_plus( X, Y, Z ), T ) =
% 0.92/1.41 plus_plus( X, times_times( X, Y, T ), times_times( X, Z, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, times_times( X, Y, Z ), times_times
% 0.92/1.41 ( X, T, Z ) ) = times_times( X, plus_plus( X, Y, T ), Z ) }.
% 0.92/1.41 { ! semiri456707255roduct( X ), ! plus_plus( X, times_times( X, Y, Z ),
% 0.92/1.41 times_times( X, T, U ) ) = plus_plus( X, times_times( X, Y, U ),
% 0.92/1.41 times_times( X, T, Z ) ), ti( X, Y ) = ti( X, T ), ti( X, Z ) = ti( X, U
% 0.92/1.41 ) }.
% 0.92/1.41 { ! semiri456707255roduct( X ), ! ti( X, Y ) = ti( X, T ), plus_plus( X,
% 0.92/1.41 times_times( X, Y, Z ), times_times( X, T, U ) ) = plus_plus( X,
% 0.92/1.41 times_times( X, Y, U ), times_times( X, T, Z ) ) }.
% 0.92/1.41 { ! semiri456707255roduct( X ), ! ti( X, Z ) = ti( X, U ), plus_plus( X,
% 0.92/1.41 times_times( X, Y, Z ), times_times( X, T, U ) ) = plus_plus( X,
% 0.92/1.41 times_times( X, Y, U ), times_times( X, T, Z ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, one_one( X ), Y ) = ti( X, Y ) }
% 0.92/1.41 .
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, Y, one_one( X ) ) = ti( X, Y ) }
% 0.92/1.41 .
% 0.92/1.41 { ! comm_semiring_1( X ), power_power( X, times_times( X, Y, Z ), T ) =
% 0.92/1.41 times_times( X, power_power( X, Y, T ), power_power( X, Z, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, power_power( X, Y, Z ),
% 0.92/1.41 power_power( X, Y, T ) ) = power_power( X, Y, plus_plus( nat, Z, T ) ) }
% 0.92/1.41 .
% 0.92/1.41 { ! comm_semiring_1( X ), power_power( X, Y, zero_zero( nat ) ) = one_one(
% 0.92/1.41 X ) }.
% 0.92/1.41 { ord_less_eq( int, zero_zero( int ), zero_zero( int ) ) }.
% 0.92/1.41 { ! linordered_idom( X ), ord_less_eq( X, zero_zero( X ), power_power( X, Y
% 0.92/1.41 , times_times( nat, number_number_of( nat, bit0( bit1( pls ) ) ), Z ) ) )
% 0.92/1.41 }.
% 0.92/1.41 { ! semiri456707255roduct( X ), ti( X, Y ) = zero_zero( X ), ! ti( X, U ) =
% 0.92/1.41 ti( X, W ), ti( X, Z ) = ti( X, T ), ! plus_plus( X, U, times_times( X,
% 0.92/1.41 Y, Z ) ) = plus_plus( X, W, times_times( X, Y, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, Y, Y ) = times_times( X, plus_plus
% 0.92/1.41 ( X, one_one( X ), one_one( X ) ), Y ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, Y, times_times( X, Z, Y ) ) =
% 0.92/1.41 times_times( X, plus_plus( X, Z, one_one( X ) ), Y ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), plus_plus( X, times_times( X, Y, Z ), Z ) =
% 0.92/1.41 times_times( X, plus_plus( X, Y, one_one( X ) ), Z ) }.
% 0.92/1.41 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.92/1.41 X ), ! power_power( X, Y, number_number_of( nat, Z ) ) = zero_zero( X ),
% 0.92/1.41 ti( X, Y ) = zero_zero( X ) }.
% 0.92/1.41 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.92/1.41 X ), ! power_power( X, Y, number_number_of( nat, Z ) ) = zero_zero( X ),
% 0.92/1.41 ! number_number_of( nat, Z ) = zero_zero( nat ) }.
% 0.92/1.41 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.92/1.41 X ), ! ti( X, Y ) = zero_zero( X ), number_number_of( nat, Z ) =
% 0.92/1.41 zero_zero( nat ), power_power( X, Y, number_number_of( nat, Z ) ) =
% 0.92/1.41 zero_zero( X ) }.
% 0.92/1.41 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, zero_zero( int )
% 0.92/1.41 , times_times( int, X, Y ) ), ord_less( int, zero_zero( int ), Y ) }.
% 0.92/1.41 { ord_less_eq( int, zero_zero( int ), one_one( int ) ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less_eq( int, zero_zero
% 0.92/1.41 ( int ), Y ), ord_less_eq( int, zero_zero( int ), times_times( int, X, Y
% 0.92/1.41 ) ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less_eq( int, zero_zero
% 0.92/1.41 ( int ), Y ), ord_less_eq( int, zero_zero( int ), plus_plus( int, X, Y )
% 0.92/1.41 ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), X ), ord_less_eq( int, zero_zero(
% 0.92/1.41 int ), power_power( int, X, Y ) ) }.
% 0.92/1.41 { ! power( X ), ! semiring_0( X ), ! number_number_of( nat, Y ) = zero_zero
% 0.92/1.41 ( nat ), power_power( X, zero_zero( X ), number_number_of( nat, Y ) ) =
% 0.92/1.41 one_one( X ) }.
% 0.92/1.41 { ! power( X ), ! semiring_0( X ), number_number_of( nat, Y ) = zero_zero(
% 0.92/1.41 nat ), power_power( X, zero_zero( X ), number_number_of( nat, Y ) ) =
% 0.92/1.41 zero_zero( X ) }.
% 0.92/1.41 { ord_less_eq( int, zero_zero( int ), number_number_of( int, bit1( bit1(
% 0.92/1.41 pls ) ) ) ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), plus_plus( int, times_times( int, X
% 0.92/1.41 , Y ), Z ) ), ! ord_less( int, Z, X ), ! ord_less( int, zero_zero( int )
% 0.92/1.41 , X ), ord_less_eq( int, zero_zero( int ), Y ) }.
% 0.92/1.41 { ! ord_less( int, plus_plus( int, times_times( int, X, Y ), Z ), zero_zero
% 0.92/1.41 ( int ) ), ! ord_less_eq( int, zero_zero( int ), Z ), ! ord_less( int,
% 0.92/1.41 zero_zero( int ), X ), ord_less_eq( int, Y, zero_zero( int ) ) }.
% 0.92/1.41 { ! ord_less_eq( int, plus_plus( int, times_times( int, X, Y ), Z ),
% 0.92/1.41 plus_plus( int, times_times( int, X, T ), U ) ), ! ord_less_eq( int,
% 0.92/1.41 zero_zero( int ), Z ), ! ord_less( int, Z, X ), ! ord_less( int, U, X ),
% 0.92/1.41 ord_less_eq( int, Y, T ) }.
% 0.92/1.41 { ! plus_plus( int, times_times( int, X, Y ), Z ) = plus_plus( int,
% 0.92/1.41 times_times( int, T, U ), W ), ! ord_less_eq( int, zero_zero( int ),
% 0.92/1.41 plus_plus( int, times_times( int, T, U ), W ) ), ! ord_less( int, W, T )
% 0.92/1.41 , ! ord_less_eq( int, zero_zero( int ), Z ), ! ord_less( int, zero_zero(
% 0.92/1.41 int ), T ), ! ord_less_eq( int, T, X ), ord_less_eq( int, Y, U ) }.
% 0.92/1.41 { ! ord_less_eq( int, plus_plus( int, times_times( int, X, Y ), Z ),
% 0.92/1.41 plus_plus( int, times_times( int, X, T ), U ) ), ! ord_less_eq( int, U,
% 0.92/1.41 zero_zero( int ) ), ! ord_less( int, X, U ), ! ord_less( int, X, Z ),
% 0.92/1.41 ord_less_eq( int, T, Y ) }.
% 0.92/1.41 { ! plus_plus( int, times_times( int, X, Y ), Z ) = plus_plus( int,
% 0.92/1.41 times_times( int, T, U ), W ), ! ord_less( int, plus_plus( int,
% 0.92/1.41 times_times( int, T, U ), W ), zero_zero( int ) ), ! ord_less( int, Z, X
% 0.92/1.41 ), ! ord_less_eq( int, zero_zero( int ), W ), ! ord_less( int, zero_zero
% 0.92/1.41 ( int ), T ), ! ord_less_eq( int, T, X ), ord_less_eq( int, U, Y ) }.
% 0.92/1.41 { power_power( int, power_power( int, X, number_number_of( nat, bit0( bit1
% 0.92/1.41 ( pls ) ) ) ), number_number_of( nat, bit0( bit1( pls ) ) ) ) =
% 0.92/1.41 power_power( int, X, number_number_of( nat, bit0( bit0( bit1( pls ) ) ) )
% 0.92/1.41 ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), times_times( X, Y, Y ) = power_power( X, Y,
% 0.92/1.41 number_number_of( nat, bit0( bit1( pls ) ) ) ) }.
% 0.92/1.41 { zcong( power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) )
% 0.92/1.41 ), number_number_of( int, min ), plus_plus( int, times_times( int,
% 0.92/1.41 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.92/1.41 ) ) }.
% 0.92/1.41 { zcong( X, zero_zero( int ), Y ), ! zcong( power_power( int, Z,
% 0.92/1.41 number_number_of( nat, bit0( bit1( pls ) ) ) ), X, Y ), ! dvd_dvd( int, Y
% 0.92/1.41 , Z ) }.
% 0.92/1.41 { ! zprime( X ), ord_less( int, one_one( int ), X ) }.
% 0.92/1.41 { ! zprime( X ), alpha2( X ) }.
% 0.92/1.41 { ! ord_less( int, one_one( int ), X ), ! alpha2( X ), zprime( X ) }.
% 0.92/1.41 { ! alpha2( X ), ! alpha6( X, Y ), alpha10( X, Y ) }.
% 0.92/1.41 { alpha6( X, skol4( X ) ), alpha2( X ) }.
% 0.92/1.41 { ! alpha10( X, skol4( X ) ), alpha2( X ) }.
% 0.92/1.41 { ! alpha10( X, Y ), ti( int, Y ) = one_one( int ), ti( int, Y ) = ti( int
% 0.92/1.41 , X ) }.
% 0.92/1.41 { ! ti( int, Y ) = one_one( int ), alpha10( X, Y ) }.
% 0.92/1.41 { ! ti( int, Y ) = ti( int, X ), alpha10( X, Y ) }.
% 0.92/1.41 { ! alpha6( X, Y ), ord_less_eq( int, zero_zero( int ), Y ) }.
% 0.92/1.41 { ! alpha6( X, Y ), dvd_dvd( int, Y, X ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), Y ), ! dvd_dvd( int, Y, X ), alpha6
% 0.92/1.41 ( X, Y ) }.
% 0.92/1.41 { ! zprime( X ), ti( int, X ) = number_number_of( int, bit0( bit1( pls ) )
% 0.92/1.41 ), ti( int, X ) = number_number_of( int, bit1( bit1( pls ) ) ),
% 0.92/1.41 ord_less_eq( int, number_number_of( int, bit1( bit0( bit1( pls ) ) ) ), X
% 0.92/1.41 ) }.
% 0.92/1.41 { ord_less( nat, zero_zero( nat ), number_number_of( nat, bit0( bit1( pls )
% 0.92/1.41 ) ) ) }.
% 0.92/1.41 { zcong( power_power( int, skol5, number_number_of( nat, bit0( bit1( pls )
% 0.92/1.41 ) ) ), number_number_of( int, min ), plus_plus( int, times_times( int,
% 0.92/1.41 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.92/1.41 ) ) }.
% 0.92/1.41 { legendre( number_number_of( int, min ), plus_plus( int, times_times( int
% 0.92/1.41 , number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int
% 0.92/1.41 ) ) ) = one_one( int ) }.
% 0.92/1.41 { bit1( min ) = min }.
% 0.92/1.41 { ! min = bit1( X ), min = ti( int, X ) }.
% 0.92/1.41 { ! min = ti( int, X ), min = bit1( X ) }.
% 0.92/1.41 { ! bit1( X ) = min, ti( int, X ) = min }.
% 0.92/1.41 { ! ti( int, X ) = min, bit1( X ) = min }.
% 0.92/1.41 { ! min = pls }.
% 0.92/1.41 { ! pls = min }.
% 0.92/1.41 { ! min = bit0( X ) }.
% 0.92/1.41 { ! bit0( X ) = min }.
% 0.92/1.41 { ! ord_less( int, min, min ) }.
% 0.92/1.41 { ord_less_eq( int, min, min ) }.
% 0.92/1.41 { ! ord_less( int, bit1( X ), min ), ord_less( int, X, min ) }.
% 0.92/1.41 { ! ord_less( int, X, min ), ord_less( int, bit1( X ), min ) }.
% 0.92/1.41 { ! ord_less( int, min, bit1( X ) ), ord_less( int, min, X ) }.
% 0.92/1.41 { ! ord_less( int, min, X ), ord_less( int, min, bit1( X ) ) }.
% 0.92/1.41 { ! ord_less( int, pls, min ) }.
% 0.92/1.41 { ord_less( int, min, pls ) }.
% 0.92/1.41 { ! ord_less( int, min, bit0( X ) ), ord_less( int, min, X ) }.
% 0.92/1.41 { ! ord_less( int, min, X ), ord_less( int, min, bit0( X ) ) }.
% 0.92/1.41 { ord_less( int, min, zero_zero( int ) ) }.
% 0.92/1.41 { ! ord_less_eq( int, min, bit1( X ) ), ord_less_eq( int, min, X ) }.
% 0.92/1.41 { ! ord_less_eq( int, min, X ), ord_less_eq( int, min, bit1( X ) ) }.
% 0.92/1.41 { ! ord_less_eq( int, bit1( X ), min ), ord_less_eq( int, X, min ) }.
% 0.92/1.41 { ! ord_less_eq( int, X, min ), ord_less_eq( int, bit1( X ), min ) }.
% 0.92/1.41 { ord_less_eq( int, min, pls ) }.
% 0.92/1.41 { ! ord_less_eq( int, pls, min ) }.
% 0.92/1.41 { ! ord_less_eq( int, bit0( X ), min ), ord_less_eq( int, X, min ) }.
% 0.92/1.41 { ! ord_less_eq( int, X, min ), ord_less_eq( int, bit0( X ), min ) }.
% 0.92/1.41 { ! number_number_of( int, pls ) = number_number_of( int, min ) }.
% 0.92/1.41 { ! ord_less( int, bit0( X ), min ), ord_less_eq( int, X, min ) }.
% 0.92/1.41 { ! ord_less_eq( int, X, min ), ord_less( int, bit0( X ), min ) }.
% 0.92/1.41 { ! ord_less_eq( int, min, bit0( X ) ), ord_less( int, min, X ) }.
% 0.92/1.41 { ! ord_less( int, min, X ), ord_less_eq( int, min, bit0( X ) ) }.
% 0.92/1.41 { ! times_times( int, X, Y ) = one_one( int ), alpha3( X, Y ), alpha7( X, Y
% 0.92/1.41 ) }.
% 0.92/1.41 { ! alpha3( X, Y ), times_times( int, X, Y ) = one_one( int ) }.
% 0.92/1.41 { ! alpha7( X, Y ), times_times( int, X, Y ) = one_one( int ) }.
% 0.92/1.41 { ! alpha7( X, Y ), ti( int, X ) = number_number_of( int, min ) }.
% 0.92/1.41 { ! alpha7( X, Y ), ti( int, Y ) = number_number_of( int, min ) }.
% 0.92/1.41 { ! ti( int, X ) = number_number_of( int, min ), ! ti( int, Y ) =
% 0.92/1.41 number_number_of( int, min ), alpha7( X, Y ) }.
% 0.92/1.41 { ! alpha3( X, Y ), ti( int, X ) = one_one( int ) }.
% 0.92/1.41 { ! alpha3( X, Y ), ti( int, Y ) = one_one( int ) }.
% 0.92/1.41 { ! ti( int, X ) = one_one( int ), ! ti( int, Y ) = one_one( int ), alpha3
% 0.92/1.41 ( X, Y ) }.
% 0.92/1.41 { ! times_times( int, X, Y ) = one_one( int ), ti( int, X ) = one_one( int
% 0.92/1.41 ), ti( int, X ) = number_number_of( int, min ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), zcong( Y, X, Z ) }.
% 0.92/1.41 { ! zcong( Y, X, Z ), zcong( X, Y, Z ) }.
% 0.92/1.41 { zcong( X, X, Y ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! zcong( Y, T, Z ), zcong( X, T, Z ) }.
% 0.92/1.41 { ! order( X ), ! ord_less_eq( X, Y, Z ), ti( X, Y ) = ti( X, Z ), ord_less
% 0.92/1.41 ( X, Y, Z ) }.
% 0.92/1.41 { ! ord_less( int, X, Y ), ! ord_less( int, Z, Y ), ord_less_eq( int, X, Z
% 0.92/1.41 ), ord_less_eq( int, Z, X ) }.
% 0.92/1.41 { ! zcong( X, Y, zero_zero( int ) ), ti( int, X ) = ti( int, Y ) }.
% 0.92/1.41 { ! ti( int, X ) = ti( int, Y ), zcong( X, Y, zero_zero( int ) ) }.
% 0.92/1.41 { zcong( X, Y, one_one( int ) ) }.
% 0.92/1.41 { zcong( times_times( int, X, Y ), times_times( int, Z, Y ), Y ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), zcong( times_times( int, X, T ), times_times( int, Y
% 0.92/1.41 , T ), Z ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), zcong( times_times( int, T, X ), times_times( int, T
% 0.92/1.41 , Y ), Z ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( times_times( int, X, T ),
% 0.92/1.41 times_times( int, Y, U ), Z ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( plus_plus( int, X, T ),
% 0.92/1.41 plus_plus( int, Y, U ), Z ) }.
% 0.92/1.41 { ! number_ring( X ), power_power( X, number_number_of( X, min ),
% 0.92/1.41 times_times( nat, number_number_of( nat, bit0( bit1( pls ) ) ), Y ) ) =
% 0.92/1.41 one_one( X ) }.
% 0.92/1.41 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.92/1.41 ord_less( int, zero_zero( int ), Z ), ! ord_less( int, Z, X ), ! zcong( X
% 0.92/1.41 , Z, Y ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ti( int, Y ) = plus_plus( int, X, times_times( int, Z
% 0.92/1.41 , skol6( X, Y, Z ) ) ) }.
% 0.92/1.41 { ! ti( int, Y ) = plus_plus( int, X, times_times( int, Z, T ) ), zcong( X
% 0.92/1.41 , Y, Z ) }.
% 0.92/1.41 { times_times( real, number_number_of( real, bit0( bit0( bit1( pls ) ) ) )
% 0.92/1.41 , power_power( real, X, number_number_of( nat, bit0( bit1( pls ) ) ) ) )
% 0.92/1.41 = power_power( real, times_times( real, number_number_of( real, bit0(
% 0.92/1.41 bit1( pls ) ) ), X ), number_number_of( nat, bit0( bit1( pls ) ) ) ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.92/1.41 zcong( X, zero_zero( int ), Y ), ti( int, X ) = zero_zero( int ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.92/1.41 ord_less_eq( int, zero_zero( int ), Z ), ! ord_less( int, Z, Y ), ! zcong
% 0.92/1.41 ( X, Z, Y ), ti( int, X ) = ti( int, Z ) }.
% 0.92/1.41 { ! zcong( power_power( int, X, Y ), one_one( int ), Z ), zcong(
% 0.92/1.41 power_power( int, X, times_times( nat, Y, T ) ), one_one( int ), Z ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), X ), ! zprime( Y ), ! dvd_dvd( int
% 0.92/1.41 , Y, times_times( int, X, Z ) ), dvd_dvd( int, Y, X ), dvd_dvd( int, Y, Z
% 0.92/1.41 ) }.
% 0.92/1.41 { quadRes( plus_plus( int, times_times( int, number_number_of( int, bit0(
% 0.92/1.41 bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), number_number_of( int,
% 0.92/1.41 min ) ) }.
% 0.92/1.41 { dvd_dvd( int, plus_plus( int, times_times( int, number_number_of( int,
% 0.92/1.41 bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), minus_minus( int,
% 0.92/1.41 power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.92/1.41 number_number_of( int, min ) ) ) }.
% 0.92/1.41 { ! ord_less( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), !
% 0.92/1.41 zcong( power_power( int, number_number_of( int, min ), Y ), power_power(
% 0.92/1.41 int, number_number_of( int, min ), Z ), X ), power_power( int,
% 0.92/1.41 number_number_of( int, min ), Y ) = power_power( int, number_number_of(
% 0.92/1.41 int, min ), Z ) }.
% 0.92/1.41 { ! ord_less( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), !
% 0.92/1.41 zcong( Y, number_number_of( int, min ), X ), ! zcong( Y, one_one( int ),
% 0.92/1.41 X ) }.
% 0.92/1.41 { minus_minus( int, power_power( int, s, number_number_of( nat, bit0( bit1
% 0.92/1.41 ( pls ) ) ) ), number_number_of( int, min ) ) = plus_plus( int,
% 0.92/1.41 power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.92/1.41 one_one( int ) ) }.
% 0.92/1.41 { quadRes( plus_plus( int, times_times( int, number_number_of( int, bit0(
% 0.92/1.41 bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), number_number_of( int,
% 0.92/1.41 min ) ), ! legendre( number_number_of( int, min ), plus_plus( int,
% 0.92/1.41 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.92/1.41 ), one_one( int ) ) ) = one_one( int ) }.
% 0.92/1.41 { ord_less( real, zero_zero( real ), times_times( real, X, X ) ), X =
% 0.92/1.41 zero_zero( real ) }.
% 0.92/1.41 { ! X = zero_zero( real ), ! ord_less( real, zero_zero( real ), times_times
% 0.92/1.41 ( real, X, X ) ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( minus_minus( int, X, T ),
% 0.92/1.41 minus_minus( int, Y, U ), Z ) }.
% 0.92/1.41 { ! dvd_dvd( int, X, minus_minus( int, Y, Z ) ), ! dvd_dvd( int, X, Z ),
% 0.92/1.41 dvd_dvd( int, X, Y ) }.
% 0.92/1.41 { times_times( int, X, minus_minus( int, Y, Z ) ) = minus_minus( int,
% 0.92/1.41 times_times( int, X, Y ), times_times( int, X, Z ) ) }.
% 0.92/1.41 { times_times( int, minus_minus( int, X, Y ), Z ) = minus_minus( int,
% 0.92/1.41 times_times( int, X, Z ), times_times( int, Y, Z ) ) }.
% 0.92/1.41 { minus_minus( int, bit0( X ), bit0( Y ) ) = bit0( minus_minus( int, X, Y )
% 0.92/1.41 ) }.
% 0.92/1.41 { minus_minus( int, X, pls ) = ti( int, X ) }.
% 0.92/1.41 { ! minus_minus( int, X, Y ) = ti( int, Z ), ti( int, X ) = plus_plus( int
% 0.92/1.41 , Z, Y ) }.
% 0.92/1.41 { ! number_ring( X ), number_number_of( X, minus_minus( int, Y, Z ) ) =
% 0.92/1.41 minus_minus( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.92/1.41 { ! number( X ), ! ring( X ), times_times( X, number_number_of( X, Y ),
% 0.92/1.41 minus_minus( X, Z, T ) ) = minus_minus( X, times_times( X,
% 0.92/1.41 number_number_of( X, Y ), Z ), times_times( X, number_number_of( X, Y ),
% 0.92/1.41 T ) ) }.
% 0.92/1.41 { ! number( X ), ! ring( X ), times_times( X, minus_minus( X, Y, Z ),
% 0.92/1.41 number_number_of( X, T ) ) = minus_minus( X, times_times( X, Y,
% 0.92/1.41 number_number_of( X, T ) ), times_times( X, Z, number_number_of( X, T ) )
% 0.92/1.41 ) }.
% 0.92/1.41 { minus_minus( int, bit1( X ), bit0( Y ) ) = bit1( minus_minus( int, X, Y )
% 0.92/1.41 ) }.
% 0.92/1.41 { minus_minus( int, bit1( X ), bit1( Y ) ) = bit0( minus_minus( int, X, Y )
% 0.92/1.41 ) }.
% 0.92/1.41 { minus_minus( int, pls, bit0( X ) ) = bit0( minus_minus( int, pls, X ) ) }
% 0.92/1.41 .
% 0.92/1.41 { ! ord_less( int, X, Y ), ord_less( int, minus_minus( int, X, Y ),
% 0.92/1.41 zero_zero( int ) ) }.
% 0.92/1.41 { ! ord_less( int, minus_minus( int, X, Y ), zero_zero( int ) ), ord_less(
% 0.92/1.41 int, X, Y ) }.
% 0.92/1.41 { plus_plus( int, times_times( int, minus_minus( int, X, times_times( int,
% 0.92/1.41 Y, Z ) ), T ), times_times( int, minus_minus( int, U, times_times( int, Y
% 0.92/1.41 , W ) ), V0 ) ) = minus_minus( int, plus_plus( int, times_times( int, X,
% 0.92/1.41 T ), times_times( int, U, V0 ) ), times_times( int, Y, plus_plus( int,
% 0.92/1.41 times_times( int, Z, T ), times_times( int, W, V0 ) ) ) ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), dvd_dvd( int, Z, minus_minus( int, X, Y ) ) }.
% 0.92/1.41 { ! dvd_dvd( int, Z, minus_minus( int, X, Y ) ), zcong( X, Y, Z ) }.
% 0.92/1.41 { ! number_ring( X ), plus_plus( X, number_number_of( X, Y ), minus_minus(
% 0.92/1.41 X, number_number_of( X, Z ), T ) ) = minus_minus( X, number_number_of( X
% 0.92/1.41 , plus_plus( int, Y, Z ) ), T ) }.
% 0.92/1.41 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), ti( int
% 0.92/1.41 , X ) = minus_minus( int, Y, one_one( int ) ), ord_less( int, X,
% 0.92/1.41 minus_minus( int, Y, one_one( int ) ) ) }.
% 0.92/1.41 { ! ord_less_eq( int, X, minus_minus( int, Y, one_one( int ) ) ), ord_less
% 0.92/1.41 ( int, X, Y ) }.
% 0.92/1.41 { ! ord_less( int, X, Y ), ord_less_eq( int, X, minus_minus( int, Y,
% 0.92/1.41 one_one( int ) ) ) }.
% 0.92/1.41 { minus_minus( int, pls, bit1( X ) ) = bit1( minus_minus( int, min, X ) ) }
% 0.92/1.41 .
% 0.92/1.41 { minus_minus( int, min, bit1( X ) ) = bit0( minus_minus( int, min, X ) ) }
% 0.92/1.41 .
% 0.92/1.41 { minus_minus( int, min, bit0( X ) ) = bit1( minus_minus( int, min, X ) ) }
% 0.92/1.41 .
% 0.92/1.41 { ! zcong( times_times( int, X, minus_minus( int, Y, one_one( int ) ) ),
% 0.92/1.41 one_one( int ), Y ), zcong( X, minus_minus( int, Y, one_one( int ) ), Y )
% 0.92/1.41 }.
% 0.92/1.41 { ! zcong( X, minus_minus( int, Y, one_one( int ) ), Y ), zcong(
% 0.92/1.41 times_times( int, X, minus_minus( int, Y, one_one( int ) ) ), one_one(
% 0.92/1.41 int ), Y ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! ti( int, Y ) = ti( int, T ), ! zcong( T, U, Z ),
% 0.92/1.41 zcong( X, U, Z ) }.
% 0.92/1.41 { ! zprime( X ), ! ord_less( int, zero_zero( int ), Y ), ! ord_less( int, Y
% 0.92/1.41 , X ), ! zcong( times_times( int, Y, Y ), one_one( int ), X ), ti( int, Y
% 0.92/1.41 ) = one_one( int ), ti( int, Y ) = minus_minus( int, X, one_one( int ) )
% 0.92/1.41 }.
% 0.92/1.41 { ! zprime( X ), ! ord_less( int, zero_zero( int ), Y ), ! zcong(
% 0.92/1.41 times_times( int, Y, Y ), one_one( int ), X ), zcong( Y, one_one( int ),
% 0.92/1.41 X ), zcong( Y, minus_minus( int, X, one_one( int ) ), X ) }.
% 0.92/1.41 { times_times( int, plus_plus( int, X, Y ), minus_minus( int, X, Y ) ) =
% 0.92/1.41 minus_minus( int, power_power( int, X, number_number_of( nat, bit0( bit1
% 0.92/1.41 ( pls ) ) ) ), power_power( int, Y, number_number_of( nat, bit0( bit1(
% 0.92/1.41 pls ) ) ) ) ) }.
% 0.92/1.41 { zcong( X, zero_zero( int ), X ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! zcong( T, times_times( int, U, X ), Z ), zcong( T,
% 0.92/1.41 times_times( int, U, Y ), Z ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! zcong( T, times_times( int, U, Y ), Z ), zcong( T,
% 0.92/1.41 times_times( int, U, X ), Z ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! zcong( T, times_times( int, X, U ), Z ), zcong( T,
% 0.92/1.41 times_times( int, Y, U ), Z ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), ! zcong( T, times_times( int, Y, U ), Z ), zcong( T,
% 0.92/1.41 times_times( int, X, U ), Z ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), zcong( plus_plus( int, X, T ), plus_plus( int, Y, T )
% 0.92/1.41 , Z ) }.
% 0.92/1.41 { ! zcong( X, Y, Z ), zcong( power_power( int, X, T ), power_power( int, Y
% 0.92/1.41 , T ), Z ) }.
% 0.92/1.41 { ! number_ring( X ), power_power( X, minus_minus( X, Y, Z ),
% 0.92/1.41 number_number_of( nat, bit0( bit1( pls ) ) ) ) = minus_minus( X,
% 0.92/1.41 plus_plus( X, power_power( X, Y, number_number_of( nat, bit0( bit1( pls )
% 0.92/1.41 ) ) ), power_power( X, Z, number_number_of( nat, bit0( bit1( pls ) ) ) )
% 0.92/1.41 ), times_times( X, times_times( X, number_number_of( X, bit0( bit1( pls
% 0.92/1.41 ) ) ), Y ), Z ) ) }.
% 0.92/1.41 { power_power( int, minus_minus( int, X, Y ), number_number_of( nat, bit0(
% 0.92/1.41 bit1( pls ) ) ) ) = plus_plus( int, minus_minus( int, power_power( int, X
% 0.92/1.41 , number_number_of( nat, bit0( bit1( pls ) ) ) ), times_times( int,
% 0.92/1.41 times_times( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), Y )
% 0.92/1.41 ), power_power( int, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ) )
% 0.92/1.41 }.
% 0.92/1.41 { power_power( int, minus_minus( int, X, Y ), number_number_of( nat, bit1(
% 0.92/1.41 bit1( pls ) ) ) ) = minus_minus( int, plus_plus( int, minus_minus( int,
% 0.92/1.41 power_power( int, X, number_number_of( nat, bit1( bit1( pls ) ) ) ),
% 0.92/1.41 times_times( int, times_times( int, number_number_of( int, bit1( bit1(
% 0.92/1.41 pls ) ) ), power_power( int, X, number_number_of( nat, bit0( bit1( pls )
% 0.92/1.41 ) ) ) ), Y ) ), times_times( int, times_times( int, number_number_of(
% 0.92/1.41 int, bit1( bit1( pls ) ) ), X ), power_power( int, Y, number_number_of(
% 0.92/1.41 nat, bit0( bit1( pls ) ) ) ) ) ), power_power( int, Y, number_number_of(
% 0.92/1.41 nat, bit1( bit1( pls ) ) ) ) ) }.
% 0.92/1.41 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, zero_zero( int )
% 0.92/1.41 , Y ), ! ord_less( int, zero_zero( int ), Z ), ! zcong( X, Y, Z ), !
% 0.92/1.41 ord_less( int, X, Z ), ! ord_less( int, Y, Z ), ti( int, X ) = ti( int, Y
% 0.92/1.41 ) }.
% 0.92/1.41 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), ! zcong
% 0.92/1.41 ( X, zero_zero( int ), Y ) }.
% 0.92/1.41 { ! dvd_dvd( int, X, Y ), ord_less_eq( int, Y, zero_zero( int ) ),
% 0.92/1.41 ord_less_eq( int, X, Y ) }.
% 0.92/1.41 { ! zcong( X, zero_zero( int ), Y ), dvd_dvd( int, Y, X ) }.
% 0.92/1.41 { ! dvd_dvd( int, Y, X ), zcong( X, zero_zero( int ), Y ) }.
% 0.92/1.41 { ! zcong( X, zero_zero( int ), Y ), dvd_dvd( int, Y, X ) }.
% 0.92/1.41 { ! dvd_dvd( int, Y, X ), zcong( X, zero_zero( int ), Y ) }.
% 0.92/1.41 { ! zprime( X ), ! dvd_dvd( int, X, times_times( int, Y, Z ) ), dvd_dvd(
% 0.92/1.41 int, X, Y ), dvd_dvd( int, X, Z ) }.
% 0.92/1.41 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.92/1.41 zcong( X, zero_zero( int ), Y ), ti( int, X ) = zero_zero( int ) }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), X ), ! dvd_dvd( int, Y, Z ), dvd_dvd(
% 0.92/1.41 int, Y, power_power( int, Z, X ) ) }.
% 0.92/1.41 { power_power( int, number_number_of( int, min ), X ) = one_one( int ),
% 0.92/1.41 power_power( int, number_number_of( int, min ), X ) = number_number_of(
% 0.92/1.41 int, min ) }.
% 0.92/1.41 { ! zprime( X ), zcong( Y, zero_zero( int ), X ), zcong( Z, zero_zero( int
% 0.92/1.41 ), X ), ! zcong( times_times( int, Y, Z ), zero_zero( int ), X ) }.
% 0.92/1.41 { ! zprime( X ), ! ord_less( int, zero_zero( int ), Y ), zcong( Y,
% 0.92/1.41 zero_zero( int ), X ), zcong( Z, zero_zero( int ), X ), ! zcong(
% 0.92/1.41 times_times( int, Y, Z ), zero_zero( int ), X ) }.
% 0.92/1.41 { ! zprime( X ), ! ord_less( int, zero_zero( int ), Y ), ! zcong(
% 0.92/1.41 times_times( int, Y, Z ), zero_zero( int ), X ), zcong( Y, zero_zero( int
% 0.92/1.41 ), X ), zcong( Z, zero_zero( int ), X ) }.
% 0.92/1.41 { ! zprime( X ), ! dvd_dvd( int, X, power_power( int, Y, Z ) ), ! ord_less
% 0.92/1.41 ( nat, zero_zero( nat ), Z ), dvd_dvd( int, X, Y ) }.
% 0.92/1.41 { ! zprime( plus_plus( int, times_times( int, number_number_of( int, bit0(
% 0.92/1.41 bit0( bit1( pls ) ) ) ), X ), one_one( int ) ) ), legendre(
% 0.92/1.41 number_number_of( int, min ), plus_plus( int, times_times( int,
% 0.92/1.41 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), X ), one_one( int )
% 0.92/1.41 ) ) = one_one( int ) }.
% 0.92/1.41 { ! ord_less( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), !
% 0.92/1.41 zcong( one_one( int ), number_number_of( int, min ), X ) }.
% 0.92/1.41 { ! zcong( X, zero_zero( int ), Y ), legendre( X, Y ) = zero_zero( int ) }
% 0.92/1.41 .
% 0.92/1.41 { zcong( X, zero_zero( int ), Y ), ! quadRes( Y, X ), legendre( X, Y ) =
% 0.92/1.41 one_one( int ) }.
% 0.92/1.41 { zcong( X, zero_zero( int ), Y ), quadRes( Y, X ), legendre( X, Y ) =
% 0.92/1.41 number_number_of( int, min ) }.
% 0.92/1.41 { ! quadRes( X, Y ), zcong( power_power( int, skol7( X, Y ),
% 0.92/1.41 number_number_of( nat, bit0( bit1( pls ) ) ) ), Y, X ) }.
% 0.92/1.41 { ! zcong( power_power( int, Z, number_number_of( nat, bit0( bit1( pls ) )
% 0.92/1.41 ) ), Y, X ), quadRes( X, Y ) }.
% 0.92/1.41 { power_power( real, plus_plus( real, X, Y ), number_number_of( nat, bit0(
% 0.92/1.41 bit1( pls ) ) ) ) = plus_plus( real, plus_plus( real, power_power( real,
% 0.92/1.41 X, number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( real, Y,
% 0.92/1.41 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), times_times( real,
% 0.92/1.41 times_times( real, number_number_of( real, bit0( bit1( pls ) ) ), X ), Y
% 0.92/1.41 ) ) }.
% 0.92/1.41 { ! Y = zero_zero( nat ), times_times( nat, Y, X ) = zero_zero( nat ) }.
% 0.92/1.41 { Y = zero_zero( nat ), times_times( nat, Y, X ) = plus_plus( nat, X,
% 0.92/1.41 times_times( nat, minus_minus( nat, Y, one_one( nat ) ), X ) ) }.
% 0.92/1.41 { ! Y = zero_zero( nat ), power_power( nat, X, Y ) = one_one( nat ) }.
% 0.92/1.41 { Y = zero_zero( nat ), power_power( nat, X, Y ) = times_times( nat, X,
% 0.92/1.41 power_power( nat, X, minus_minus( nat, Y, one_one( nat ) ) ) ) }.
% 0.92/1.41 { minus_minus( nat, power_power( nat, X, number_number_of( nat, bit0( bit1
% 0.92/1.41 ( pls ) ) ) ), power_power( nat, Y, number_number_of( nat, bit0( bit1(
% 0.92/1.41 pls ) ) ) ) ) = times_times( nat, plus_plus( nat, X, Y ), minus_minus(
% 0.92/1.41 nat, X, Y ) ) }.
% 0.92/1.41 { ! plus_plus( real, power_power( real, X, number_number_of( nat, bit0(
% 0.92/1.41 bit1( pls ) ) ) ), power_power( real, Y, number_number_of( nat, bit0(
% 0.92/1.41 bit1( pls ) ) ) ) ) = zero_zero( real ), X = zero_zero( real ) }.
% 0.92/1.41 { ! plus_plus( real, power_power( real, X, number_number_of( nat, bit0(
% 0.92/1.41 bit1( pls ) ) ) ), power_power( real, Y, number_number_of( nat, bit0(
% 0.92/1.41 bit1( pls ) ) ) ) ) = zero_zero( real ), Y = zero_zero( real ) }.
% 0.92/1.41 { ! X = zero_zero( real ), ! Y = zero_zero( real ), plus_plus( real,
% 0.92/1.41 power_power( real, X, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.92/1.41 power_power( real, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ) ) =
% 0.92/1.41 zero_zero( real ) }.
% 0.92/1.41 { ! zero_zero( real ) = one_one( real ) }.
% 0.92/1.41 { ! ord_less_eq( real, X, Y ), ord_less_eq( real, minus_minus( real, X, Y )
% 0.92/1.41 , zero_zero( real ) ) }.
% 0.92/1.41 { ! ord_less_eq( real, minus_minus( real, X, Y ), zero_zero( real ) ),
% 0.92/1.41 ord_less_eq( real, X, Y ) }.
% 0.92/1.41 { ! ord_less( real, X, Y ), ord_less_eq( real, X, Y ) }.
% 0.92/1.41 { ! ord_less( real, X, Y ), ! X = Y }.
% 0.92/1.41 { ! ord_less_eq( real, X, Y ), X = Y, ord_less( real, X, Y ) }.
% 0.92/1.41 { ! ord_less_eq( real, X, Y ), ord_less( real, X, Y ), X = Y }.
% 0.92/1.41 { ! ord_less( real, X, Y ), ord_less_eq( real, X, Y ) }.
% 0.92/1.41 { ! X = Y, ord_less_eq( real, X, Y ) }.
% 0.92/1.41 { times_times( real, times_times( real, X, Y ), Z ) = times_times( real, X
% 0.92/1.41 , times_times( real, Y, Z ) ) }.
% 0.92/1.41 { times_times( real, X, Y ) = times_times( real, Y, X ) }.
% 0.92/1.41 { times_times( real, one_one( real ), X ) = X }.
% 0.92/1.41 { ! ord_less_eq( real, X, Y ), ord_less_eq( real, plus_plus( real, Z, X ),
% 0.92/1.41 plus_plus( real, Z, Y ) ) }.
% 0.92/1.41 { ! ab_group_add( X ), minus_minus( X, plus_plus( X, Y, Z ), plus_plus( X,
% 0.92/1.41 T, U ) ) = plus_plus( X, minus_minus( X, Y, T ), minus_minus( X, Z, U ) )
% 0.92/1.41 }.
% 0.92/1.41 { X = zero_zero( real ), ! times_times( real, X, Y ) = times_times( real, X
% 0.92/1.41 , Z ), Y = Z }.
% 0.92/1.41 { X = zero_zero( real ), ! Y = Z, times_times( real, X, Y ) = times_times(
% 0.92/1.41 real, X, Z ) }.
% 0.92/1.41 { X = zero_zero( real ), ! times_times( real, Y, X ) = times_times( real, Z
% 0.92/1.41 , X ), Y = Z }.
% 0.92/1.41 { X = zero_zero( real ), ! Y = Z, times_times( real, Y, X ) = times_times(
% 0.92/1.41 real, Z, X ) }.
% 0.92/1.41 { ! times_times( nat, X, Y ) = one_one( nat ), X = one_one( nat ) }.
% 0.92/1.41 { ! times_times( nat, X, Y ) = one_one( nat ), Y = one_one( nat ) }.
% 0.92/1.41 { ! X = one_one( nat ), ! Y = one_one( nat ), times_times( nat, X, Y ) =
% 0.92/1.41 one_one( nat ) }.
% 0.92/1.41 { times_times( real, plus_plus( real, X, Y ), Z ) = plus_plus( real,
% 0.92/1.41 times_times( real, X, Z ), times_times( real, Y, Z ) ) }.
% 0.92/1.41 { ! power_power( nat, X, Y ) = zero_zero( nat ), ! Y = zero_zero( nat ) }.
% 0.92/1.41 { ! power_power( nat, X, Y ) = zero_zero( nat ), X = zero_zero( nat ) }.
% 0.92/1.41 { Y = zero_zero( nat ), ! X = zero_zero( nat ), power_power( nat, X, Y ) =
% 0.92/1.41 zero_zero( nat ) }.
% 0.92/1.41 { ! ring( X ), minus_minus( X, times_times( X, Y, Z ), times_times( X, T, U
% 0.92/1.41 ) ) = plus_plus( X, times_times( X, Y, minus_minus( X, Z, U ) ),
% 0.92/1.41 times_times( X, minus_minus( X, Y, T ), U ) ) }.
% 0.92/1.41 { ! ord_less( real, zero_zero( real ), X ), ! ord_less_eq( real,
% 0.92/1.41 times_times( real, Y, X ), times_times( real, Z, X ) ), ord_less_eq( real
% 0.92/1.41 , Y, Z ) }.
% 0.92/1.41 { ! ord_less( real, zero_zero( real ), X ), ! ord_less_eq( real, Y, Z ),
% 0.92/1.41 ord_less_eq( real, times_times( real, Y, X ), times_times( real, Z, X ) )
% 0.92/1.41 }.
% 0.92/1.41 { ! ord_less( real, zero_zero( real ), X ), ! ord_less_eq( real,
% 0.92/1.41 times_times( real, X, Y ), times_times( real, X, Z ) ), ord_less_eq( real
% 0.92/1.41 , Y, Z ) }.
% 0.92/1.41 { ! ord_less( real, zero_zero( real ), X ), ! ord_less_eq( real, Y, Z ),
% 0.92/1.41 ord_less_eq( real, times_times( real, X, Y ), times_times( real, X, Z ) )
% 0.92/1.41 }.
% 0.92/1.41 { ! ord_less( real, zero_zero( real ), X ), ! ord_less( real, Y, Z ),
% 0.92/1.41 ord_less( real, times_times( real, X, Y ), times_times( real, X, Z ) ) }
% 0.92/1.41 .
% 0.92/1.41 { ! ord_less( real, zero_zero( real ), X ), ! ord_less( real, zero_zero(
% 0.92/1.41 real ), Y ), ord_less( real, zero_zero( real ), times_times( real, X, Y )
% 0.92/1.41 ) }.
% 0.92/1.41 { ! ord_less( real, zero_zero( real ), X ), ! ord_less( real, times_times(
% 0.92/1.41 real, Y, X ), times_times( real, Z, X ) ), ord_less( real, Y, Z ) }.
% 0.92/1.41 { ! ord_less( real, zero_zero( real ), X ), ! ord_less( real, Y, Z ),
% 0.92/1.41 ord_less( real, times_times( real, Y, X ), times_times( real, Z, X ) ) }
% 0.92/1.41 .
% 0.92/1.41 { ! plus_plus( real, times_times( real, X, X ), times_times( real, Y, Y ) )
% 0.92/1.41 = zero_zero( real ), X = zero_zero( real ) }.
% 0.92/1.41 { ! plus_plus( real, times_times( real, X, X ), times_times( real, Y, Y ) )
% 0.92/1.41 = zero_zero( real ), Y = zero_zero( real ) }.
% 0.92/1.41 { ! X = zero_zero( real ), ! Y = zero_zero( real ), plus_plus( real,
% 0.92/1.41 times_times( real, X, X ), times_times( real, Y, Y ) ) = zero_zero( real
% 0.92/1.41 ) }.
% 0.92/1.41 { ! power_power( nat, X, Y ) = one_one( nat ), X = one_one( nat ), Y =
% 0.92/1.41 zero_zero( nat ) }.
% 0.92/1.41 { ! X = one_one( nat ), power_power( nat, X, Y ) = one_one( nat ) }.
% 0.92/1.41 { ! Y = zero_zero( nat ), power_power( nat, X, Y ) = one_one( nat ) }.
% 0.92/1.41 { ! ring_1( X ), minus_minus( X, times_times( X, Y, Y ), one_one( X ) ) =
% 0.92/1.41 times_times( X, plus_plus( X, Y, one_one( X ) ), minus_minus( X, Y,
% 0.92/1.41 one_one( X ) ) ) }.
% 0.92/1.41 { ! monoid_mult( X ), ! ord_less( nat, zero_zero( nat ), Y ), times_times(
% 0.92/1.41 X, power_power( X, Z, minus_minus( nat, Y, one_one( nat ) ) ), Z ) =
% 0.92/1.41 power_power( X, Z, Y ) }.
% 0.92/1.41 { ord_less_eq( real, one_one( real ), power_power( real, number_number_of(
% 0.92/1.41 real, bit0( bit1( pls ) ) ), X ) ) }.
% 0.92/1.41 { ! power( X ), ! Z = zero_zero( nat ), power_power( X, Y, Z ) = one_one( X
% 0.92/1.41 ) }.
% 0.92/1.41 { ! power( X ), Z = zero_zero( nat ), power_power( X, Y, Z ) = times_times
% 0.92/1.41 ( X, Y, power_power( X, Y, minus_minus( nat, Z, one_one( nat ) ) ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, Y, Z ), ! ord_less_eq( X,
% 0.92/1.41 zero_zero( X ), Y ), ! ord_less( nat, zero_zero( nat ), T ), ord_less( X
% 0.92/1.41 , power_power( X, Y, T ), power_power( X, Z, T ) ) }.
% 0.92/1.41 { ord_less_eq( real, X, X ) }.
% 0.92/1.41 { ord_less_eq( real, X, Y ), ord_less_eq( real, Y, X ) }.
% 0.92/1.41 { ! ord_less_eq( real, X, Y ), ! ord_less_eq( real, Y, Z ), ord_less_eq(
% 0.92/1.41 real, X, Z ) }.
% 0.92/1.41 { ! ord_less_eq( real, X, Y ), ! ord_less_eq( real, Y, X ), X = Y }.
% 0.92/1.41 { ! ring_11004092258visors( X ), ti( X, Y ) = zero_zero( X ), ! power_power
% 0.92/1.41 ( X, Y, Z ) = zero_zero( X ) }.
% 0.92/1.41 { ! comm_monoid_mult( X ), power_power( X, times_times( X, Y, Z ), T ) =
% 0.92/1.41 times_times( X, power_power( X, Y, T ), power_power( X, Z, T ) ) }.
% 0.92/1.41 { ! monoid_mult( X ), times_times( X, power_power( X, Y, Z ), Y ) =
% 0.92/1.41 times_times( X, Y, power_power( X, Y, Z ) ) }.
% 0.92/1.41 { ! monoid_mult( X ), power_power( X, one_one( X ), Y ) = one_one( X ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, power_power( X
% 0.92/1.41 , Y, T ), power_power( X, Z, T ) ) }.
% 0.92/1.41 { ! monoid_mult( X ), power_power( X, Y, times_times( nat, Z, T ) ) =
% 0.92/1.41 power_power( X, power_power( X, Y, Z ), T ) }.
% 0.92/1.41 { ! monoid_mult( X ), power_power( X, Y, one_one( nat ) ) = ti( X, Y ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less_eq( X, Y, Z ), ! ord_less_eq( X,
% 0.92/1.41 zero_zero( X ), Y ), ord_less_eq( X, power_power( X, Y, T ), power_power
% 0.92/1.41 ( X, Z, T ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less_eq( X, zero_zero( X ), Y ),
% 0.92/1.41 ord_less_eq( X, zero_zero( X ), power_power( X, Y, Z ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, zero_zero( X ), Y ), ord_less(
% 0.92/1.41 X, zero_zero( X ), power_power( X, Y, Z ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less_eq( X, one_one( X ), Y ),
% 0.92/1.41 ord_less_eq( X, one_one( X ), power_power( X, Y, Z ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), !
% 0.92/1.41 power_power( X, Y, Z ) = power_power( X, Y, T ), Z = T }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! Z = T,
% 0.92/1.41 power_power( X, Y, Z ) = power_power( X, Y, T ) }.
% 0.92/1.41 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.92/1.41 X ), ! power_power( X, Y, Z ) = zero_zero( X ), ti( X, Y ) = zero_zero( X
% 0.92/1.41 ) }.
% 0.92/1.41 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.92/1.41 X ), ! power_power( X, Y, Z ) = zero_zero( X ), ! Z = zero_zero( nat ) }
% 0.92/1.41 .
% 0.92/1.41 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.92/1.41 X ), ! ti( X, Y ) = zero_zero( X ), Z = zero_zero( nat ), power_power( X
% 0.92/1.41 , Y, Z ) = zero_zero( X ) }.
% 0.92/1.41 { ! power( X ), power_power( X, Y, zero_zero( nat ) ) = one_one( X ) }.
% 0.92/1.41 { ! monoid_mult( X ), power_power( X, Y, plus_plus( nat, Z, T ) ) =
% 0.92/1.41 times_times( X, power_power( X, Y, Z ), power_power( X, Y, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, power_power( X, Y, Z ), T ), !
% 0.92/1.41 ord_less_eq( nat, U, Z ), dvd_dvd( X, power_power( X, Y, U ), T ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), ! ord_less_eq( nat, T, U )
% 0.92/1.41 , dvd_dvd( X, power_power( X, Y, T ), power_power( X, Z, U ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! ord_less_eq( nat, Y, Z ), dvd_dvd( X,
% 0.92/1.41 power_power( X, T, Y ), power_power( X, T, Z ) ) }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), X ), ! ord_less( nat, power_power( nat
% 0.92/1.41 , X, Y ), power_power( nat, X, Z ) ), ord_less( nat, Y, Z ) }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), power_power( nat, X, Y ) ), ord_less(
% 0.92/1.41 nat, zero_zero( nat ), X ), Y = zero_zero( nat ) }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), X ), ord_less( nat, zero_zero( nat ),
% 0.92/1.41 power_power( nat, X, Y ) ) }.
% 0.92/1.41 { ! Y = zero_zero( nat ), ord_less( nat, zero_zero( nat ), power_power( nat
% 0.92/1.41 , X, Y ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, power_power( X, Y, T ),
% 0.92/1.41 power_power( X, Z, T ) ), ! ord_less_eq( X, zero_zero( X ), Z ), ord_less
% 0.92/1.41 ( X, Y, Z ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ord_less( X
% 0.92/1.41 , power_power( X, Y, Z ), times_times( X, Y, power_power( X, Y, Z ) ) ) }
% 0.92/1.41 .
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ord_less( X
% 0.92/1.41 , one_one( X ), times_times( X, Y, power_power( X, Y, Z ) ) ) }.
% 0.92/1.41 { ! power( X ), ! semiring_0( X ), ! Y = zero_zero( nat ), power_power( X,
% 0.92/1.41 zero_zero( X ), Y ) = one_one( X ) }.
% 0.92/1.41 { ! power( X ), ! semiring_0( X ), Y = zero_zero( nat ), power_power( X,
% 0.92/1.41 zero_zero( X ), Y ) = zero_zero( X ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( nat, Y, Z ), ! ord_less( X,
% 0.92/1.41 one_one( X ), T ), ord_less( X, power_power( X, T, Y ), power_power( X, T
% 0.92/1.41 , Z ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! ord_less(
% 0.92/1.41 X, power_power( X, Y, Z ), power_power( X, Y, T ) ), ord_less( nat, Z, T
% 0.92/1.41 ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! ord_less(
% 0.92/1.41 X, power_power( X, Y, Z ), power_power( X, Y, T ) ), ord_less( nat, Z, T
% 0.92/1.41 ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! ord_less(
% 0.92/1.41 nat, Z, T ), ord_less( X, power_power( X, Y, Z ), power_power( X, Y, T )
% 0.92/1.41 ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less_eq( nat, Y, Z ), ! ord_less_eq( X,
% 0.92/1.41 one_one( X ), T ), ord_less_eq( X, power_power( X, T, Y ), power_power( X
% 0.92/1.41 , T, Z ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, zero_zero( X ), Y ), ! ord_less
% 0.92/1.41 ( X, Y, one_one( X ) ), ord_less( X, times_times( X, Y, power_power( X, Y
% 0.92/1.41 , Z ) ), power_power( X, Y, Z ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( nat, Y, Z ), ! ord_less( X,
% 0.92/1.41 zero_zero( X ), T ), ! ord_less( X, T, one_one( X ) ), ord_less( X,
% 0.92/1.41 power_power( X, T, Z ), power_power( X, T, Y ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! power_power( X, Y, Z ) = power_power( X, T,
% 0.92/1.41 Z ), ! ord_less_eq( X, zero_zero( X ), Y ), ! ord_less_eq( X, zero_zero(
% 0.92/1.41 X ), T ), ! ord_less( nat, zero_zero( nat ), Z ), ti( X, Y ) = ti( X, T )
% 0.92/1.41 }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less_eq( nat, Y, Z ), ! ord_less_eq( X,
% 0.92/1.41 zero_zero( X ), T ), ! ord_less_eq( X, T, one_one( X ) ), ord_less_eq( X
% 0.92/1.41 , power_power( X, T, Z ), power_power( X, T, Y ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), !
% 0.92/1.41 ord_less_eq( X, power_power( X, Y, Z ), power_power( X, Y, T ) ),
% 0.92/1.41 ord_less_eq( nat, Z, T ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), !
% 0.92/1.41 ord_less_eq( X, power_power( X, Y, Z ), power_power( X, Y, T ) ),
% 0.92/1.41 ord_less_eq( nat, Z, T ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), !
% 0.92/1.41 ord_less_eq( nat, Z, T ), ord_less_eq( X, power_power( X, Y, Z ),
% 0.92/1.41 power_power( X, Y, T ) ) }.
% 0.92/1.41 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! ord_less(
% 0.92/1.41 nat, zero_zero( nat ), Z ), ord_less( X, one_one( X ), power_power( X, Y
% 0.92/1.41 , Z ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! ord_less( nat, zero_zero( nat ), Z ), dvd_dvd(
% 0.92/1.41 X, Y, power_power( X, Y, Z ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! ti( X, Y ) = one_one( X ), dvd_dvd( X, Y,
% 0.92/1.41 power_power( X, Y, Z ) ) }.
% 0.92/1.41 { ! linord626643107strict( X ), ! ord_less( X, Y, Z ), ! ord_less( X, T, Z
% 0.92/1.41 ), ! ord_less_eq( X, zero_zero( X ), U ), ! ord_less_eq( X, zero_zero( X
% 0.92/1.41 ), W ), ! plus_plus( X, U, W ) = one_one( X ), ord_less( X, plus_plus( X
% 0.92/1.41 , times_times( X, U, Y ), times_times( X, W, T ) ), Z ) }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), X ), ! ord_less( real, zero_zero( real
% 0.92/1.41 ), Y ), ord_less( real, zero_zero( real ), skol8( Z, T ) ) }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), X ), ! ord_less( real, zero_zero( real
% 0.92/1.41 ), Y ), power_power( real, skol8( X, Y ), X ) = Y }.
% 0.92/1.41 { ! ord_less( nat, zero_zero( nat ), X ), ! ord_less( real, zero_zero( real
% 0.92/1.41 ), Y ), ! ord_less( real, zero_zero( real ), Z ), ! power_power( real, Z
% 0.92/1.41 , X ) = Y, Z = skol8( X, Y ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), dvd_dvd( X, Y, zero_zero( X ) ) }.
% 0.92/1.41 { ! dvd_dvd( nat, X, Y ), Y = zero_zero( nat ), ord_less_eq( nat, X, Y ) }
% 0.92/1.41 .
% 0.92/1.41 { ! dvd_dvd( nat, X, Y ), dvd_dvd( nat, power_power( nat, X, Z ),
% 0.92/1.41 power_power( nat, Y, Z ) ) }.
% 0.92/1.41 { ! dvd_dvd( nat, X, Y ), dvd_dvd( nat, times_times( nat, Z, X ),
% 0.92/1.41 times_times( nat, Z, Y ) ) }.
% 0.92/1.41 { ! dvd_dvd( nat, X, Y ), dvd_dvd( nat, times_times( nat, X, Z ),
% 0.92/1.41 times_times( nat, Y, Z ) ) }.
% 0.92/1.41 { ! dvd_dvd( nat, X, Y ), ! dvd_dvd( nat, X, plus_plus( nat, Y, Z ) ),
% 0.92/1.41 dvd_dvd( nat, X, Z ) }.
% 0.92/1.41 { ! dvd_dvd( nat, times_times( nat, X, Y ), times_times( nat, Z, Y ) ), Y =
% 0.92/1.41 zero_zero( nat ), dvd_dvd( nat, X, Z ) }.
% 0.92/1.41 { ! Y = zero_zero( nat ), dvd_dvd( nat, times_times( nat, X, Y ),
% 0.92/1.41 times_times( nat, Z, Y ) ) }.
% 0.92/1.41 { ! dvd_dvd( nat, X, Z ), dvd_dvd( nat, times_times( nat, X, Y ),
% 0.92/1.41 times_times( nat, Z, Y ) ) }.
% 0.92/1.41 { ! dvd_dvd( nat, power_power( nat, X, Y ), power_power( nat, Z, Y ) ), Y =
% 0.92/1.41 zero_zero( nat ), dvd_dvd( nat, X, Z ) }.
% 0.92/1.41 { X = zero_zero( nat ), ! dvd_dvd( nat, power_power( nat, Y, X ), Z ),
% 0.92/1.41 dvd_dvd( nat, Y, Z ) }.
% 0.92/1.41 { ! linordered_idom( X ), ti( X, Y ) = ti( X, Z ), ord_less( X, Y, Z ),
% 0.92/1.41 ord_less( X, Z, Y ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), ! dvd_dvd( X, Z, T ),
% 0.92/1.41 dvd_dvd( X, Y, T ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), dvd_dvd( X, Y, Y ) }.
% 0.92/1.41 { ! X = plus_plus( nat, times_times( nat, T, Y ), Z ), ! ord_less( nat,
% 0.92/1.41 zero_zero( nat ), Z ), ! ord_less( nat, Z, Y ), ! dvd_dvd( nat, Y, X ) }
% 0.92/1.41 .
% 0.92/1.41 { ! dvd_dvd( nat, power_power( nat, X, Y ), power_power( nat, X, Z ) ), !
% 0.92/1.41 ord_less( nat, one_one( nat ), X ), ord_less_eq( nat, Y, Z ) }.
% 0.92/1.41 { ! mult_zero( X ), times_times( X, zero_zero( X ), Y ) = zero_zero( X ) }
% 0.92/1.41 .
% 0.92/1.41 { ! mult_zero( X ), times_times( X, Y, zero_zero( X ) ) = zero_zero( X ) }
% 0.92/1.41 .
% 0.92/1.41 { ! ring_n68954251visors( X ), ! times_times( X, Y, Z ) = zero_zero( X ),
% 0.92/1.41 ti( X, Y ) = zero_zero( X ), ti( X, Z ) = zero_zero( X ) }.
% 0.92/1.41 { ! ring_n68954251visors( X ), ! ti( X, Y ) = zero_zero( X ), times_times(
% 0.92/1.41 X, Y, Z ) = zero_zero( X ) }.
% 0.92/1.41 { ! ring_n68954251visors( X ), ! ti( X, Z ) = zero_zero( X ), times_times(
% 0.92/1.41 X, Y, Z ) = zero_zero( X ) }.
% 0.92/1.41 { ! no_zero_divisors( X ), ti( X, Y ) = zero_zero( X ), ti( X, Z ) =
% 0.92/1.41 zero_zero( X ), ! times_times( X, Y, Z ) = zero_zero( X ) }.
% 0.92/1.41 { ! no_zero_divisors( X ), ! times_times( X, Y, Z ) = zero_zero( X ), ti( X
% 0.92/1.41 , Y ) = zero_zero( X ), ti( X, Z ) = zero_zero( X ) }.
% 0.92/1.41 { ! zero_neq_one( X ), ! one_one( X ) = zero_zero( X ) }.
% 0.92/1.41 { ! zero_neq_one( X ), ! zero_zero( X ) = one_one( X ) }.
% 0.92/1.41 { ! comm_semiring( X ), times_times( X, plus_plus( X, Y, Z ), T ) =
% 0.92/1.41 plus_plus( X, times_times( X, Y, T ), times_times( X, Z, T ) ) }.
% 0.92/1.41 { ! semiring( X ), plus_plus( X, times_times( X, Y, Z ), plus_plus( X,
% 0.92/1.41 times_times( X, T, Z ), U ) ) = plus_plus( X, times_times( X, plus_plus(
% 0.92/1.41 X, Y, T ), Z ), U ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, zero_zero( X ), Y ), ti( X, Y ) =
% 0.92/1.41 zero_zero( X ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, times_times( X, T, Y ), Z ),
% 0.92/1.41 dvd_dvd( X, Y, Z ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, times_times( X, Y, T ), Z ),
% 0.92/1.41 dvd_dvd( X, Y, Z ) }.
% 0.92/1.41 { ! dvd( X ), ! Y = times_times( X, Z, T ), dvd_dvd( X, Z, Y ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), ! dvd_dvd( X, T, U ),
% 0.92/1.41 dvd_dvd( X, times_times( X, Y, T ), times_times( X, Z, U ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, Y, times_times
% 0.92/1.41 ( X, T, Z ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, Y, times_times
% 0.92/1.41 ( X, Z, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), dvd_dvd( X, Y, times_times( X, Z, Y ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), dvd_dvd( X, Y, times_times( X, Y, Z ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), ! dvd_dvd( X, Y, T ),
% 0.92/1.41 dvd_dvd( X, Y, plus_plus( X, Z, T ) ) }.
% 0.92/1.41 { ! comm_semiring_1( X ), dvd_dvd( X, one_one( X ), Y ) }.
% 0.92/1.41 { ! comm_ring_1( X ), ! dvd_dvd( X, Y, Z ), ! dvd_dvd( X, Y, T ), dvd_dvd(
% 0.92/1.41 X, Y, minus_minus( X, Z, T ) ) }.
% 0.92/1.41 { ! dvd_dvd( nat, X, Y ), Y = zero_zero( nat ), Y = X, ord_less_eq( nat,
% 0.92/1.41 times_times( nat, number_number_of( nat, bit0( bit1( pls ) ) ), X ), Y )
% 0.92/1.41 }.
% 0.92/1.41 { ! linordered_ring( X ), ord_less_eq( X, zero_zero( X ), times_times( X, Y
% 0.92/1.41 , Y ) ) }.
% 0.92/1.41 { ! linord581940658strict( X ), ! ord_less_eq( X, zero_zero( X ),
% 0.92/1.41 times_times( X, Y, Z ) ), alpha4( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.92/1.41 { ! linord581940658strict( X ), ! alpha4( X, Y, Z ), ord_less_eq( X,
% 0.92/1.41 zero_zero( X ), times_times( X, Y, Z ) ) }.
% 0.92/1.41 { ! linord581940658strict( X ), ! alpha8( X, Y, Z ), ord_less_eq( X,
% 0.92/1.41 zero_zero( X ), times_times( X, Y, Z ) ) }.
% 0.92/1.41 { ! alpha8( X, Y, Z ), ord_less_eq( X, Y, zero_zero( X ) ) }.
% 0.92/1.41 { ! alpha8( X, Y, Z ), ord_less_eq( X, Z, zero_zero( X ) ) }.
% 0.92/1.41 { ! ord_less_eq( X, Y, zero_zero( X ) ), ! ord_less_eq( X, Z, zero_zero( X
% 0.92/1.41 ) ), alpha8( X, Y, Z ) }.
% 0.92/1.41 { ! alpha4( X, Y, Z ), ord_less_eq( X, zero_zero( X ), Y ) }.
% 0.92/1.41 { ! alpha4( X, Y, Z ), ord_less_eq( X, zero_zero( X ), Z ) }.
% 0.92/1.41 { ! ord_less_eq( X, zero_zero( X ), Y ), ! ord_less_eq( X, zero_zero( X ),
% 0.92/1.41 Z ), alpha4( X, Y, Z ) }.
% 0.92/1.41 { ! linord581940658strict( X ), ! ord_less_eq( X, times_times( X, Y, Z ),
% 0.92/1.41 zero_zero( X ) ), alpha5( X, Y, Z ), alpha9( X, Y, Z ) }.
% 0.92/1.41 { ! linord581940658strict( X ), ! alpha5( X, Y, Z ), ord_less_eq( X,
% 0.92/1.41 times_times( X, Y, Z ), zero_zero( X ) ) }.
% 0.92/1.41 { ! linord581940658strict( X ), ! alpha9( X, Y, Z ), ord_less_eq( X,
% 0.92/1.41 times_times( X, Y, Z ), zero_zero( X ) ) }.
% 0.92/1.41 { ! alpha9( X, Y, Z ), ord_less_eq( X, Y, zero_zero( X ) ) }.
% 0.92/1.41 { ! alpha9( X, Y, Z ), ord_less_eq( X, zero_zero( X ), Z ) }.
% 0.92/1.41 { ! ord_less_eq( X, Y, zero_zero( X ) ), ! ord_less_eq( X, zero_zero( X ),
% 0.92/1.41 Z ), alpha9( X, Y, Z ) }.
% 0.92/1.41 { ! alpha5( X, Y, Z ), ord_less_eq( X, zero_zero( X ), Y ) }.
% 0.92/1.41 { ! alpha5( X, Y, Z ), ord_less_eq( X, Z, zero_zero( X ) ) }.
% 0.92/1.41 { ! ord_less_eq( X, zero_zero( X ), Y ), ! ord_less_eq( X, Z, zero_zero( X
% 0.92/1.41 ) ), alpha5( X, Y, Z ) }.
% 0.92/1.41 { ! ordere453448008miring( X ), ! ord_less_eq( X, zero_zero( X ), Y ), !
% 0.92/1.41 ord_less_eq( X, zero_zero( X ), Z ), ord_less_eq( X, zero_zero( X ),
% 0.92/1.41 times_times( X, Y, Z ) ) }.
% 0.92/1.41 { ! ordere453448008miring( X ), ! ord_less_eq( X, zero_zero( X ), Y ), !
% 0.92/1.41 ord_less_eq( X, Z, zero_zero( X ) ), ord_less_eq( X, times_times( X, Y, Z
% 0.92/1.41 ), zero_zero( X ) ) }.
% 0.92/1.41 { ! ordere453448008miring( X ), ! ord_less_eq( X, zero_zero( X ), Y ), !
% 0.92/1.41 ord_less_eq( X, Z, zero_zero( X ) ), ord_less_eq( X, times_times( X, Z, Y
% 0.92/1.41 ), zero_zero( X ) ) }.
% 0.92/1.41 { ! ordere453448008miring( X ), ! ord_less_eq( X, Y, zero_zero( X ) ), !
% 0.92/1.41 ord_less_eq( X, zero_zero( X ), Z ), ord_less_eq( X, times_times( X, Y, Z
% 0.92/1.41 ), zero_zero( X ) ) }.
% 0.92/1.41 { ! ordered_ring( X ), ! ord_less_eq( X, Y, zero_zero( X ) ), ! ord_less_eq
% 0.92/1.41 ( X, Z, zero_zero( X ) ), ord_less_eq( X, zero_zero( X ), times_times( X
% 0.92/1.41 , Y, Z ) ) }.
% 0.92/1.41 { semiri456707255roduct( int ) }.
% 0.92/1.41 { linord626643107strict( int ) }.
% 0.92/1.41 { linord219039673up_add( int ) }.
% 0.92/1.41 { ring_11004092258visors( int ) }.
% 0.92/1.41 { ordere453448008miring( int ) }.
% 0.92/1.41 { linord581940658strict( int ) }.
% 0.92/1.41 { ring_n68954251visors( int ) }.
% 0.92/1.41 { linordered_semidom( int ) }.
% 0.92/1.41 { comm_monoid_mult( int ) }.
% 0.92/1.41 { no_zero_divisors( int ) }.
% 0.92/1.41 { linordered_ring( int ) }.
% 0.92/1.41 { linordered_idom( int ) }.
% 0.92/1.41 { comm_semiring_1( int ) }.
% 0.92/1.41 { comm_semiring( int ) }.
% 0.92/1.41 { number_semiring( int ) }.
% 0.92/1.41 { ab_group_add( int ) }.
% 0.92/1.41 { zero_neq_one( int ) }.
% 0.92/1.41 { ordered_ring( int ) }.
% 0.92/1.41 { linorder( int ) }.
% 0.92/1.41 { monoid_mult( int ) }.
% 0.92/1.41 { comm_ring_1( int ) }.
% 0.92/1.41 { semiring_1( int ) }.
% 0.92/1.41 { semiring_0( int ) }.
% 0.92/1.41 { mult_zero( int ) }.
% 0.92/1.41 { order( int ) }.
% 0.92/1.41 { ring_char_0( int ) }.
% 0.92/1.41 { number_ring( int ) }.
% 0.92/1.41 { semiring( int ) }.
% 0.92/1.41 { ring_1( int ) }.
% 0.92/1.41 { power( int ) }.
% 0.92/1.41 { ring( int ) }.
% 0.92/1.41 { number( int ) }.
% 0.92/1.41 { dvd( int ) }.
% 0.92/1.41 { semiri456707255roduct( nat ) }.
% 0.92/1.41 { ordere453448008miring( nat ) }.
% 0.92/1.41 { linordered_semidom( nat ) }.
% 0.92/1.41 { comm_monoid_mult( nat ) }.
% 0.92/1.41 { no_zero_divisors( nat ) }.
% 0.92/1.41 { comm_semiring_1( nat ) }.
% 0.92/1.41 { comm_semiring( nat ) }.
% 0.92/1.41 { number_semiring( nat ) }.
% 0.92/1.41 { zero_neq_one( nat ) }.
% 0.92/1.41 { linorder( nat ) }.
% 0.92/1.41 { monoid_mult( nat ) }.
% 0.92/1.41 { semiring_1( nat ) }.
% 0.92/1.41 { semiring_0( nat ) }.
% 0.92/1.41 { mult_zero( nat ) }.
% 0.92/1.41 { order( nat ) }.
% 0.92/1.41 { semiring( nat ) }.
% 0.92/1.41 { power( nat ) }.
% 0.92/1.41 { number( nat ) }.
% 0.92/1.41 { dvd( nat ) }.
% 0.92/1.41 { order( bool ) }.
% 0.92/1.41 { semiri456707255roduct( real ) }.
% 0.92/1.41 { linord626643107strict( real ) }.
% 0.92/1.41 { linord219039673up_add( real ) }.
% 0.92/1.41 { ring_11004092258visors( real ) }.
% 0.92/1.41 { ordere453448008miring( real ) }.
% 0.92/1.41 { linord581940658strict( real ) }.
% 0.92/1.41 { ring_n68954251visors( real ) }.
% 0.92/1.41 { linordered_semidom( real ) }.
% 0.92/1.41 { comm_monoid_mult( real ) }.
% 0.92/1.41 { no_zero_divisors( real ) }.
% 0.92/1.41 { linordered_ring( real ) }.
% 0.92/1.41 { linordered_idom( real ) }.
% 0.92/1.41 { comm_semiring_1( real ) }.
% 0.92/1.41 { comm_semiring( real ) }.
% 0.92/1.41 { number_semiring( real ) }.
% 0.92/1.41 { ab_group_add( real ) }.
% 0.92/1.41 { zero_neq_one( real ) }.
% 0.92/1.41 { ordered_ring( real ) }.
% 0.92/1.41 { linorder( real ) }.
% 0.92/1.41 { monoid_mult( real ) }.
% 0.92/1.41 { comm_ring_1( real ) }.
% 0.92/1.41 { semiring_1( real ) }.
% 0.92/1.41 { semiring_0( real ) }.
% 0.92/1.41 { mult_zero( real ) }.
% 0.92/1.41 { order( real ) }.
% 0.92/1.41 { ring_char_0( real ) }.
% 0.92/1.41 { number_ring( real ) }.
% 0.92/1.41 { semiring( real ) }.
% 0.92/1.41 { ring_1( real ) }.
% 0.92/1.41 { power( real ) }.
% 0.92/1.41 { ring( real ) }.
% 0.92/1.41 { number( real ) }.
% 0.92/1.41 { dvd( real ) }.
% 0.92/1.41 { ti( X, ti( X, Y ) ) = ti( X, Y ) }.
% 0.92/1.41 { ! ord_less( int, plus_plus( int, power_power( int, s, number_number_of(
% 0.92/1.41 nat, bit0( bit1( pls ) ) ) ), one_one( int ) ), zero_zero( int ) ) }.
% 0.92/1.41
% 0.92/1.41 *** allocated 15000 integers for clauses
% 0.92/1.41 *** allocated 22500 integers for clauses
% 0.92/1.41 *** allocated 33750 integers for clauses
% 0.92/1.41 *** allocated 50625 integers for clauses
% 0.92/1.41 percentage equality = 0.280992, percentage horn = 0.920538
% 0.92/1.41 This is a problem with some equality
% 0.92/1.41
% 0.92/1.41
% 0.92/1.41
% 0.92/1.41 Options Used:
% 0.92/1.41
% 0.92/1.41 useres = 1
% 0.92/1.41 useparamod = 1
% 0.92/1.41 useeqrefl = 1
% 0.92/1.41 useeqfact = 1
% 0.92/1.41 usefactor = 1
% 0.92/1.41 usesimpsplitting = 0
% 0.92/1.41 usesimpdemod = 5
% 0.92/1.41 usesimpres = 3
% 0.92/1.41
% 0.92/1.41 resimpinuse = 1000
% 0.92/1.41 resimpclauses = 20000
% 0.92/1.41 substype = eqrewr
% 0.92/1.41 backwardsubs = 1
% 0.92/1.41 selectoldest = 5
% 0.92/1.41
% 0.92/1.41 litorderings [0] = split
% 0.92/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 0.92/1.41
% 0.92/1.41 termordering = kbo
% 0.92/1.41
% 0.92/1.41 litapriori = 0
% 0.92/1.41 termapriori = 1
% 0.92/1.41 litaposteriori = 0
% 0.92/1.41 termaposteriori = 0
% 0.92/1.41 demodaposteriori = 0
% 0.92/1.41 ordereqreflfact = 0
% 0.92/1.41
% 0.92/1.41 litselect = negord
% 0.92/1.41
% 0.92/1.41 maxweight = 15
% 0.92/1.41 maxdepth = 30000
% 0.92/1.41 maxlength = 115
% 0.92/1.41 maxnrvars = 195
% 0.92/1.41 excuselevel = 1
% 0.92/1.41 increasemaxweight = 1
% 0.92/1.41
% 0.92/1.41 maxselected = 10000000
% 0.92/1.41 maxnrclauses = 10000000
% 0.92/1.41
% 0.92/1.41 showgenerated = 0
% 0.92/1.41 showkept = 0
% 0.92/1.41 showselected = 0
% 0.92/1.41 showdeleted = 0
% 0.92/1.41 showresimp = 1
% 0.92/1.41 showstatus = 2000
% 0.92/1.41
% 0.92/1.41 prologoutput = 0
% 0.92/1.41 nrgoals = 5000000
% 0.92/1.41 totalproof = 1
% 0.92/1.41
% 0.92/1.41 Symbols occurring in the translation:
% 0.92/1.41
% 0.92/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.92/1.41 . [1, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.92/1.41 ! [4, 1] (w:0, o:86, a:1, s:1, b:0),
% 0.92/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.41 ab_group_add [38, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.92/1.41 ti [39, 2] (w:1, o:159, a:1, s:1, b:0),
% 0.92/1.41 minus_minus [40, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.92/1.41 nat [41, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.92/1.41 zero_neq_one [42, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.92/1.41 one_one [43, 1] (w:1, o:106, a:1, s:1, b:0),
% 7.91/8.29 power [44, 1] (w:1, o:110, a:1, s:1, b:0),
% 7.91/8.29 semiring [45, 1] (w:1, o:116, a:1, s:1, b:0),
% 7.91/8.29 plus_plus [46, 3] (w:1, o:171, a:1, s:1, b:0),
% 7.91/8.29 dvd [47, 1] (w:1, o:121, a:1, s:1, b:0),
% 7.91/8.29 times_times [48, 3] (w:1, o:173, a:1, s:1, b:0),
% 7.91/8.29 no_zero_divisors [49, 1] (w:1, o:102, a:1, s:1, b:0),
% 7.91/8.29 mult_zero [50, 1] (w:1, o:100, a:1, s:1, b:0),
% 7.91/8.29 zero_zero [51, 1] (w:1, o:122, a:1, s:1, b:0),
% 7.91/8.29 linord219039673up_add [52, 1] (w:1, o:93, a:1, s:1, b:0),
% 7.91/8.29 undefined [53, 1] (w:1, o:128, a:1, s:1, b:0),
% 7.91/8.29 int [55, 0] (w:1, o:27, a:1, s:1, b:0),
% 7.91/8.29 zcong [56, 3] (w:1, o:174, a:1, s:1, b:0),
% 7.91/8.29 zprime [57, 1] (w:1, o:129, a:1, s:1, b:0),
% 7.91/8.29 bit0 [58, 1] (w:1, o:131, a:1, s:1, b:0),
% 7.91/8.29 bit1 [59, 1] (w:1, o:132, a:1, s:1, b:0),
% 7.91/8.29 min [60, 0] (w:1, o:22, a:1, s:1, b:0),
% 7.91/8.29 pls [61, 0] (w:1, o:28, a:1, s:1, b:0),
% 7.91/8.29 number [62, 1] (w:1, o:103, a:1, s:1, b:0),
% 7.91/8.29 number_number_of [63, 2] (w:1, o:160, a:1, s:1, b:0),
% 7.91/8.29 order [64, 1] (w:1, o:107, a:1, s:1, b:0),
% 7.91/8.29 ord_less [65, 3] (w:1, o:169, a:1, s:1, b:0),
% 7.91/8.29 ord_less_eq [66, 3] (w:1, o:170, a:1, s:1, b:0),
% 7.91/8.29 power_power [67, 3] (w:1, o:175, a:1, s:1, b:0),
% 7.91/8.29 legendre [68, 2] (w:1, o:161, a:1, s:1, b:0),
% 7.91/8.29 quadRes [69, 2] (w:1, o:162, a:1, s:1, b:0),
% 7.91/8.29 dvd_dvd [70, 3] (w:1, o:176, a:1, s:1, b:0),
% 7.91/8.29 twoSqu420862341sum2sq [71, 1] (w:1, o:127, a:1, s:1, b:0),
% 7.91/8.29 m [72, 0] (w:1, o:23, a:1, s:1, b:0),
% 7.91/8.29 s1 [73, 0] (w:1, o:30, a:1, s:1, b:0),
% 7.91/8.29 s [74, 0] (w:1, o:31, a:1, s:1, b:0),
% 7.91/8.29 t [75, 0] (w:1, o:36, a:1, s:1, b:0),
% 7.91/8.29 linordered_idom [76, 1] (w:1, o:94, a:1, s:1, b:0),
% 7.91/8.29 semiring_1 [83, 1] (w:1, o:124, a:1, s:1, b:0),
% 7.91/8.29 ring_11004092258visors [84, 1] (w:1, o:111, a:1, s:1, b:0),
% 7.91/8.29 number_ring [85, 1] (w:1, o:104, a:1, s:1, b:0),
% 7.91/8.29 number_semiring [103, 1] (w:1, o:105, a:1, s:1, b:0),
% 7.91/8.29 linord581940658strict [105, 1] (w:1, o:95, a:1, s:1, b:0),
% 7.91/8.29 linordered_ring [106, 1] (w:1, o:96, a:1, s:1, b:0),
% 7.91/8.29 linorder [107, 1] (w:1, o:97, a:1, s:1, b:0),
% 7.91/8.29 ring_char_0 [112, 1] (w:1, o:112, a:1, s:1, b:0),
% 7.91/8.29 linordered_semidom [116, 1] (w:1, o:98, a:1, s:1, b:0),
% 7.91/8.29 monoid_mult [119, 1] (w:1, o:101, a:1, s:1, b:0),
% 7.91/8.29 comm_semiring_1 [122, 1] (w:1, o:118, a:1, s:1, b:0),
% 7.91/8.29 semiri456707255roduct [137, 1] (w:1, o:125, a:1, s:1, b:0),
% 7.91/8.29 semiring_0 [139, 1] (w:1, o:123, a:1, s:1, b:0),
% 7.91/8.29 real [147, 0] (w:1, o:29, a:1, s:1, b:0),
% 7.91/8.29 ring [148, 1] (w:1, o:113, a:1, s:1, b:0),
% 7.91/8.29 ring_1 [149, 1] (w:1, o:114, a:1, s:1, b:0),
% 7.91/8.29 comm_monoid_mult [150, 1] (w:1, o:119, a:1, s:1, b:0),
% 7.91/8.29 linord626643107strict [152, 1] (w:1, o:99, a:1, s:1, b:0),
% 7.91/8.29 ring_n68954251visors [154, 1] (w:1, o:115, a:1, s:1, b:0),
% 7.91/8.29 comm_semiring [155, 1] (w:1, o:120, a:1, s:1, b:0),
% 7.91/8.29 comm_ring_1 [157, 1] (w:1, o:117, a:1, s:1, b:0),
% 7.91/8.29 ordere453448008miring [158, 1] (w:1, o:108, a:1, s:1, b:0),
% 7.91/8.29 ordered_ring [159, 1] (w:1, o:109, a:1, s:1, b:0),
% 7.91/8.29 bool [160, 0] (w:1, o:85, a:1, s:1, b:0),
% 7.91/8.29 alpha1 [163, 2] (w:1, o:163, a:1, s:1, b:1),
% 7.91/8.29 alpha2 [164, 1] (w:1, o:130, a:1, s:1, b:1),
% 7.91/8.29 alpha3 [165, 2] (w:1, o:164, a:1, s:1, b:1),
% 7.91/8.29 alpha4 [166, 3] (w:1, o:177, a:1, s:1, b:1),
% 7.91/8.29 alpha5 [167, 3] (w:1, o:178, a:1, s:1, b:1),
% 7.91/8.29 alpha6 [168, 2] (w:1, o:165, a:1, s:1, b:1),
% 7.91/8.29 alpha7 [169, 2] (w:1, o:166, a:1, s:1, b:1),
% 7.91/8.29 alpha8 [170, 3] (w:1, o:179, a:1, s:1, b:1),
% 7.91/8.29 alpha9 [171, 3] (w:1, o:180, a:1, s:1, b:1),
% 7.91/8.29 alpha10 [172, 2] (w:1, o:167, a:1, s:1, b:1),
% 7.91/8.29 skol1 [173, 0] (w:1, o:32, a:1, s:1, b:1),
% 7.91/8.29 skol2 [174, 0] (w:1, o:33, a:1, s:1, b:1),
% 7.91/8.29 skol3 [175, 0] (w:1, o:34, a:1, s:1, b:1),
% 7.91/8.29 skol4 [176, 1] (w:1, o:126, a:1, s:1, b:1),
% 7.91/8.29 skol5 [177, 0] (w:1, o:35, a:1, s:1, b:1),
% 7.91/8.29 skol6 [178, 3] (w:1, o:172, a:1, s:1, b:1),
% 7.91/8.29 skol7 [179, 2] (w:1, o:157, a:1, s:1, b:1),
% 7.91/8.29 skol8 [180, 2] (w:1, o:158, a:1, s:1, b:1).
% 7.91/8.29
% 7.91/8.29
% 7.91/8.29 Starting Search:
% 7.91/8.29
% 7.91/8.29 *** allocated 75937 integers for clauses
% 35.49/35.86 *** allocated 113905 integers for clauses
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 75937 integers for termspace/termends
% 35.49/35.86 *** allocated 170857 integers for clauses
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 6683
% 35.49/35.86 Kept: 2000
% 35.49/35.86 Inuse: 439
% 35.49/35.86 Deleted: 42
% 35.49/35.86 Deletedinuse: 0
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 256285 integers for clauses
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 113905 integers for termspace/termends
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 12228
% 35.49/35.86 Kept: 4038
% 35.49/35.86 Inuse: 627
% 35.49/35.86 Deleted: 87
% 35.49/35.86 Deletedinuse: 38
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 384427 integers for clauses
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 18019
% 35.49/35.86 Kept: 6042
% 35.49/35.86 Inuse: 804
% 35.49/35.86 Deleted: 110
% 35.49/35.86 Deletedinuse: 38
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 170857 integers for termspace/termends
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 576640 integers for clauses
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 24787
% 35.49/35.86 Kept: 8094
% 35.49/35.86 Inuse: 929
% 35.49/35.86 Deleted: 129
% 35.49/35.86 Deletedinuse: 42
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 256285 integers for termspace/termends
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 30970
% 35.49/35.86 Kept: 10150
% 35.49/35.86 Inuse: 1065
% 35.49/35.86 Deleted: 135
% 35.49/35.86 Deletedinuse: 44
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 864960 integers for clauses
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 40062
% 35.49/35.86 Kept: 12634
% 35.49/35.86 Inuse: 1197
% 35.49/35.86 Deleted: 150
% 35.49/35.86 Deletedinuse: 51
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 48156
% 35.49/35.86 Kept: 14650
% 35.49/35.86 Inuse: 1367
% 35.49/35.86 Deleted: 159
% 35.49/35.86 Deletedinuse: 51
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 384427 integers for termspace/termends
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 1297440 integers for clauses
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 56742
% 35.49/35.86 Kept: 16657
% 35.49/35.86 Inuse: 1447
% 35.49/35.86 Deleted: 162
% 35.49/35.86 Deletedinuse: 53
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 64694
% 35.49/35.86 Kept: 18664
% 35.49/35.86 Inuse: 1530
% 35.49/35.86 Deleted: 169
% 35.49/35.86 Deletedinuse: 55
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying clauses:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 71740
% 35.49/35.86 Kept: 20700
% 35.49/35.86 Inuse: 1657
% 35.49/35.86 Deleted: 1660
% 35.49/35.86 Deletedinuse: 61
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 576640 integers for termspace/termends
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 83097
% 35.49/35.86 Kept: 23823
% 35.49/35.86 Inuse: 1746
% 35.49/35.86 Deleted: 1738
% 35.49/35.86 Deletedinuse: 139
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 1946160 integers for clauses
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 88893
% 35.49/35.86 Kept: 25823
% 35.49/35.86 Inuse: 1870
% 35.49/35.86 Deleted: 1739
% 35.49/35.86 Deletedinuse: 140
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 100802
% 35.49/35.86 Kept: 28395
% 35.49/35.86 Inuse: 1965
% 35.49/35.86 Deleted: 1740
% 35.49/35.86 Deletedinuse: 140
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 864960 integers for termspace/termends
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 119496
% 35.49/35.86 Kept: 36162
% 35.49/35.86 Inuse: 1990
% 35.49/35.86 Deleted: 1740
% 35.49/35.86 Deletedinuse: 140
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 2919240 integers for clauses
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 144969
% 35.49/35.86 Kept: 38527
% 35.49/35.86 Inuse: 2011
% 35.49/35.86 Deleted: 1744
% 35.49/35.86 Deletedinuse: 140
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 177786
% 35.49/35.86 Kept: 41709
% 35.49/35.86 Inuse: 2020
% 35.49/35.86 Deleted: 1754
% 35.49/35.86 Deletedinuse: 149
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying clauses:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 *** allocated 1297440 integers for termspace/termends
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 192755
% 35.49/35.86 Kept: 46977
% 35.49/35.86 Inuse: 2030
% 35.49/35.86 Deleted: 3230
% 35.49/35.86 Deletedinuse: 176
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 199040
% 35.49/35.86 Kept: 51000
% 35.49/35.86 Inuse: 2035
% 35.49/35.86 Deleted: 3230
% 35.49/35.86 Deletedinuse: 176
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 35.49/35.86 Generated: 206382
% 35.49/35.86 Kept: 55267
% 35.49/35.86 Inuse: 2050
% 35.49/35.86 Deleted: 3230
% 35.49/35.86 Deletedinuse: 176
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86 Resimplifying inuse:
% 35.49/35.86 Done
% 35.49/35.86
% 35.49/35.86
% 35.49/35.86 Intermediate Status:
% 81.84/82.25 Generated: 216241
% 81.84/82.25 Kept: 57275
% 81.84/82.25 Inuse: 2076
% 81.84/82.25 Deleted: 3231
% 81.84/82.25 Deletedinuse: 177
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 226392
% 81.84/82.25 Kept: 59408
% 81.84/82.25 Inuse: 2105
% 81.84/82.25 Deleted: 3231
% 81.84/82.25 Deletedinuse: 177
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 *** allocated 4378860 integers for clauses
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 250028
% 81.84/82.25 Kept: 62868
% 81.84/82.25 Inuse: 2115
% 81.84/82.25 Deleted: 3231
% 81.84/82.25 Deletedinuse: 177
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying clauses:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 *** allocated 1946160 integers for termspace/termends
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 261918
% 81.84/82.25 Kept: 65343
% 81.84/82.25 Inuse: 2145
% 81.84/82.25 Deleted: 3543
% 81.84/82.25 Deletedinuse: 177
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 280723
% 81.84/82.25 Kept: 69619
% 81.84/82.25 Inuse: 2160
% 81.84/82.25 Deleted: 3543
% 81.84/82.25 Deletedinuse: 177
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 297147
% 81.84/82.25 Kept: 73721
% 81.84/82.25 Inuse: 2162
% 81.84/82.25 Deleted: 3543
% 81.84/82.25 Deletedinuse: 177
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 316783
% 81.84/82.25 Kept: 76504
% 81.84/82.25 Inuse: 2220
% 81.84/82.25 Deleted: 3635
% 81.84/82.25 Deletedinuse: 269
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 327595
% 81.84/82.25 Kept: 78517
% 81.84/82.25 Inuse: 2251
% 81.84/82.25 Deleted: 3635
% 81.84/82.25 Deletedinuse: 269
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 338638
% 81.84/82.25 Kept: 80954
% 81.84/82.25 Inuse: 2285
% 81.84/82.25 Deleted: 3635
% 81.84/82.25 Deletedinuse: 269
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 347018
% 81.84/82.25 Kept: 83007
% 81.84/82.25 Inuse: 2320
% 81.84/82.25 Deleted: 3635
% 81.84/82.25 Deletedinuse: 269
% 81.84/82.25
% 81.84/82.25 Resimplifying clauses:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 354713
% 81.84/82.25 Kept: 85067
% 81.84/82.25 Inuse: 2355
% 81.84/82.25 Deleted: 8624
% 81.84/82.25 Deletedinuse: 269
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 367681
% 81.84/82.25 Kept: 87105
% 81.84/82.25 Inuse: 2368
% 81.84/82.25 Deleted: 8625
% 81.84/82.25 Deletedinuse: 270
% 81.84/82.25
% 81.84/82.25 *** allocated 2919240 integers for termspace/termends
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 375026
% 81.84/82.25 Kept: 89805
% 81.84/82.25 Inuse: 2370
% 81.84/82.25 Deleted: 8625
% 81.84/82.25 Deletedinuse: 270
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 387351
% 81.84/82.25 Kept: 92326
% 81.84/82.25 Inuse: 2395
% 81.84/82.25 Deleted: 8627
% 81.84/82.25 Deletedinuse: 272
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 *** allocated 6568290 integers for clauses
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 403578
% 81.84/82.25 Kept: 95291
% 81.84/82.25 Inuse: 2405
% 81.84/82.25 Deleted: 8627
% 81.84/82.25 Deletedinuse: 272
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 414337
% 81.84/82.25 Kept: 97358
% 81.84/82.25 Inuse: 2450
% 81.84/82.25 Deleted: 8627
% 81.84/82.25 Deletedinuse: 272
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 421804
% 81.84/82.25 Kept: 99434
% 81.84/82.25 Inuse: 2495
% 81.84/82.25 Deleted: 8635
% 81.84/82.25 Deletedinuse: 280
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 428786
% 81.84/82.25 Kept: 101502
% 81.84/82.25 Inuse: 2537
% 81.84/82.25 Deleted: 8663
% 81.84/82.25 Deletedinuse: 305
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying clauses:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 435130
% 81.84/82.25 Kept: 103527
% 81.84/82.25 Inuse: 2583
% 81.84/82.25 Deleted: 9915
% 81.84/82.25 Deletedinuse: 305
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 442934
% 81.84/82.25 Kept: 105679
% 81.84/82.25 Inuse: 2627
% 81.84/82.25 Deleted: 9917
% 81.84/82.25 Deletedinuse: 307
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 455284
% 81.84/82.25 Kept: 107688
% 81.84/82.25 Inuse: 2674
% 81.84/82.25 Deleted: 9917
% 81.84/82.25 Deletedinuse: 307
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 488135
% 81.84/82.25 Kept: 111803
% 81.84/82.25 Inuse: 2782
% 81.84/82.25 Deleted: 9928
% 81.84/82.25 Deletedinuse: 318
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25
% 81.84/82.25 Intermediate Status:
% 81.84/82.25 Generated: 515658
% 81.84/82.25 Kept: 113815
% 81.84/82.25 Inuse: 2981
% 81.84/82.25 Deleted: 9928
% 81.84/82.25 Deletedinuse: 318
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 81.84/82.25 Done
% 81.84/82.25
% 81.84/82.25 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 532441
% 212.61/213.06 Kept: 115824
% 212.61/213.06 Inuse: 3070
% 212.61/213.06 Deleted: 9931
% 212.61/213.06 Deletedinuse: 321
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 548419
% 212.61/213.06 Kept: 117847
% 212.61/213.06 Inuse: 3150
% 212.61/213.06 Deleted: 9931
% 212.61/213.06 Deletedinuse: 321
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 563889
% 212.61/213.06 Kept: 119861
% 212.61/213.06 Inuse: 3230
% 212.61/213.06 Deleted: 9931
% 212.61/213.06 Deletedinuse: 321
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 580134
% 212.61/213.06 Kept: 121865
% 212.61/213.06 Inuse: 3312
% 212.61/213.06 Deleted: 9931
% 212.61/213.06 Deletedinuse: 321
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying clauses:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 597152
% 212.61/213.06 Kept: 123893
% 212.61/213.06 Inuse: 3393
% 212.61/213.06 Deleted: 10778
% 212.61/213.06 Deletedinuse: 321
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 620633
% 212.61/213.06 Kept: 125907
% 212.61/213.06 Inuse: 3496
% 212.61/213.06 Deleted: 10788
% 212.61/213.06 Deletedinuse: 328
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 637802
% 212.61/213.06 Kept: 127914
% 212.61/213.06 Inuse: 3590
% 212.61/213.06 Deleted: 10788
% 212.61/213.06 Deletedinuse: 328
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 654566
% 212.61/213.06 Kept: 129914
% 212.61/213.06 Inuse: 3666
% 212.61/213.06 Deleted: 10790
% 212.61/213.06 Deletedinuse: 328
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 672531
% 212.61/213.06 Kept: 131939
% 212.61/213.06 Inuse: 3770
% 212.61/213.06 Deleted: 10790
% 212.61/213.06 Deletedinuse: 328
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 691529
% 212.61/213.06 Kept: 133954
% 212.61/213.06 Inuse: 3873
% 212.61/213.06 Deleted: 10790
% 212.61/213.06 Deletedinuse: 328
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 712112
% 212.61/213.06 Kept: 135976
% 212.61/213.06 Inuse: 3983
% 212.61/213.06 Deleted: 10790
% 212.61/213.06 Deletedinuse: 328
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 732148
% 212.61/213.06 Kept: 137988
% 212.61/213.06 Inuse: 4091
% 212.61/213.06 Deleted: 10805
% 212.61/213.06 Deletedinuse: 343
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 749529
% 212.61/213.06 Kept: 140004
% 212.61/213.06 Inuse: 4189
% 212.61/213.06 Deleted: 10827
% 212.61/213.06 Deletedinuse: 365
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 768219
% 212.61/213.06 Kept: 142078
% 212.61/213.06 Inuse: 4282
% 212.61/213.06 Deleted: 10829
% 212.61/213.06 Deletedinuse: 365
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying clauses:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 784992
% 212.61/213.06 Kept: 144090
% 212.61/213.06 Inuse: 4334
% 212.61/213.06 Deleted: 11749
% 212.61/213.06 Deletedinuse: 365
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 *** allocated 4378860 integers for termspace/termends
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 809037
% 212.61/213.06 Kept: 146132
% 212.61/213.06 Inuse: 4422
% 212.61/213.06 Deleted: 11754
% 212.61/213.06 Deletedinuse: 366
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 *** allocated 9852435 integers for clauses
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 825951
% 212.61/213.06 Kept: 148155
% 212.61/213.06 Inuse: 4500
% 212.61/213.06 Deleted: 11754
% 212.61/213.06 Deletedinuse: 366
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 847856
% 212.61/213.06 Kept: 150162
% 212.61/213.06 Inuse: 4598
% 212.61/213.06 Deleted: 11754
% 212.61/213.06 Deletedinuse: 366
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 860509
% 212.61/213.06 Kept: 152166
% 212.61/213.06 Inuse: 4630
% 212.61/213.06 Deleted: 11754
% 212.61/213.06 Deletedinuse: 366
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 871823
% 212.61/213.06 Kept: 154654
% 212.61/213.06 Inuse: 4670
% 212.61/213.06 Deleted: 11758
% 212.61/213.06 Deletedinuse: 366
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 881760
% 212.61/213.06 Kept: 156675
% 212.61/213.06 Inuse: 4712
% 212.61/213.06 Deleted: 11894
% 212.61/213.06 Deletedinuse: 502
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 888944
% 212.61/213.06 Kept: 158709
% 212.61/213.06 Inuse: 4735
% 212.61/213.06 Deleted: 11896
% 212.61/213.06 Deletedinuse: 504
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06 Resimplifying inuse:
% 212.61/213.06 Done
% 212.61/213.06
% 212.61/213.06
% 212.61/213.06 Intermediate Status:
% 212.61/213.06 Generated: 895727
% 212.61/213.06 Kept: 160724
% 212.61/213.06 Inuse: 4753
% 212.61/213.06 Deleted: 11907
% 300.03/300.46 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------