TSTP Solution File: NUM926+6 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM926+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 06:27:47 EDT 2022
% Result : Timeout 300.07s 300.62s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM926+6 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jul 7 17:36:05 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.86/1.36 *** allocated 10000 integers for termspace/termends
% 0.86/1.36 *** allocated 10000 integers for clauses
% 0.86/1.36 *** allocated 10000 integers for justifications
% 0.86/1.36 *** allocated 15000 integers for termspace/termends
% 0.86/1.36 Bliksem 1.12
% 0.86/1.36
% 0.86/1.36
% 0.86/1.36 Automatic Strategy Selection
% 0.86/1.36
% 0.86/1.36 *** allocated 22500 integers for termspace/termends
% 0.86/1.36 *** allocated 33750 integers for termspace/termends
% 0.86/1.36 *** allocated 50625 integers for termspace/termends
% 0.86/1.36
% 0.86/1.36 Clauses:
% 0.86/1.36
% 0.86/1.36 { ! ab_group_add( X ), minus_minus( X, ti( X, Y ), Z ) = minus_minus( X, Y
% 0.86/1.36 , Z ) }.
% 0.86/1.36 { ! ab_group_add( X ), minus_minus( X, Y, ti( X, Z ) ) = minus_minus( X, Y
% 0.86/1.36 , Z ) }.
% 0.86/1.36 { ! ab_group_add( X ), ti( X, minus_minus( X, Y, Z ) ) = minus_minus( X, Y
% 0.86/1.36 , Z ) }.
% 0.86/1.36 { minus_minus( nat, ti( nat, X ), Y ) = minus_minus( nat, X, Y ) }.
% 0.86/1.36 { minus_minus( nat, X, ti( nat, Y ) ) = minus_minus( nat, X, Y ) }.
% 0.86/1.36 { ti( nat, minus_minus( nat, X, Y ) ) = minus_minus( nat, X, Y ) }.
% 0.86/1.36 { ! zero_neq_one( X ), ti( X, one_one( X ) ) = one_one( X ) }.
% 0.86/1.36 { ! power( X ), ti( X, one_one( X ) ) = one_one( X ) }.
% 0.86/1.36 { ! semiring( X ), plus_plus( X, ti( X, Y ), Z ) = plus_plus( X, Y, Z ) }.
% 0.86/1.36 { ! semiring( X ), plus_plus( X, Y, ti( X, Z ) ) = plus_plus( X, Y, Z ) }.
% 0.86/1.36 { ! semiring( X ), ti( X, plus_plus( X, Y, Z ) ) = plus_plus( X, Y, Z ) }.
% 0.86/1.36 { ! ab_group_add( X ), plus_plus( X, ti( X, Y ), Z ) = plus_plus( X, Y, Z )
% 0.86/1.36 }.
% 0.86/1.36 { ! ab_group_add( X ), plus_plus( X, Y, ti( X, Z ) ) = plus_plus( X, Y, Z )
% 0.86/1.36 }.
% 0.86/1.36 { ! ab_group_add( X ), ti( X, plus_plus( X, Y, Z ) ) = plus_plus( X, Y, Z )
% 0.86/1.36 }.
% 0.86/1.36 { ! dvd( X ), times_times( X, ti( X, Y ), Z ) = times_times( X, Y, Z ) }.
% 0.86/1.36 { ! dvd( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X, Y, Z ) }.
% 0.86/1.36 { ! dvd( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X, Y, Z ) }.
% 0.86/1.36 { ! semiring( X ), times_times( X, ti( X, Y ), Z ) = times_times( X, Y, Z )
% 0.86/1.36 }.
% 0.86/1.36 { ! semiring( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X, Y, Z )
% 0.86/1.36 }.
% 0.86/1.36 { ! semiring( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X, Y, Z )
% 0.86/1.36 }.
% 0.86/1.36 { ! no_zero_divisors( X ), times_times( X, ti( X, Y ), Z ) = times_times( X
% 0.86/1.36 , Y, Z ) }.
% 0.86/1.36 { ! no_zero_divisors( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X
% 0.86/1.36 , Y, Z ) }.
% 0.86/1.36 { ! no_zero_divisors( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X
% 0.86/1.36 , Y, Z ) }.
% 0.86/1.36 { ! mult_zero( X ), times_times( X, ti( X, Y ), Z ) = times_times( X, Y, Z
% 0.86/1.36 ) }.
% 0.86/1.36 { ! mult_zero( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X, Y, Z
% 0.86/1.36 ) }.
% 0.86/1.36 { ! mult_zero( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X, Y, Z
% 0.86/1.36 ) }.
% 0.86/1.36 { ! power( X ), times_times( X, ti( X, Y ), Z ) = times_times( X, Y, Z ) }
% 0.86/1.36 .
% 0.86/1.36 { ! power( X ), times_times( X, Y, ti( X, Z ) ) = times_times( X, Y, Z ) }
% 0.86/1.36 .
% 0.86/1.36 { ! power( X ), ti( X, times_times( X, Y, Z ) ) = times_times( X, Y, Z ) }
% 0.86/1.36 .
% 0.86/1.36 { ! zero_neq_one( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }.
% 0.86/1.36 { ! no_zero_divisors( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }.
% 0.86/1.36 { ! mult_zero( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }.
% 0.86/1.36 { ! linord219039673up_add( X ), ti( X, zero_zero( X ) ) = zero_zero( X ) }
% 0.86/1.36 .
% 0.86/1.36 { ti( X, undefined( X ) ) = undefined( X ) }.
% 0.86/1.36 { ! zcong( ti( int, X ), Y, Z ), zcong( X, Y, Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), zcong( ti( int, X ), Y, Z ) }.
% 0.86/1.36 { ! zcong( X, ti( int, Y ), Z ), zcong( X, Y, Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), zcong( X, ti( int, Y ), Z ) }.
% 0.86/1.36 { ! zcong( X, Y, ti( int, Z ) ), zcong( X, Y, Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), zcong( X, Y, ti( int, Z ) ) }.
% 0.86/1.36 { ! zprime( ti( int, X ) ), zprime( X ) }.
% 0.86/1.36 { ! zprime( X ), zprime( ti( int, X ) ) }.
% 0.86/1.36 { bit0( ti( int, X ) ) = bit0( X ) }.
% 0.86/1.36 { ti( int, bit0( X ) ) = bit0( X ) }.
% 0.86/1.36 { bit1( ti( int, X ) ) = bit1( X ) }.
% 0.86/1.36 { ti( int, bit1( X ) ) = bit1( X ) }.
% 0.86/1.36 { ti( int, min ) = min }.
% 0.86/1.36 { ti( int, pls ) = pls }.
% 0.86/1.36 { ! number( X ), number_number_of( X, ti( int, Y ) ) = number_number_of( X
% 0.86/1.36 , Y ) }.
% 0.86/1.36 { ! number( X ), ti( X, number_number_of( X, Y ) ) = number_number_of( X, Y
% 0.86/1.36 ) }.
% 0.86/1.36 { ! order( X ), ! ord_less( X, ti( X, Y ), Z ), ord_less( X, Y, Z ) }.
% 0.86/1.36 { ! order( X ), ! ord_less( X, Y, Z ), ord_less( X, ti( X, Y ), Z ) }.
% 0.86/1.36 { ! order( X ), ! ord_less( X, Y, ti( X, Z ) ), ord_less( X, Y, Z ) }.
% 0.86/1.36 { ! order( X ), ! ord_less( X, Y, Z ), ord_less( X, Y, ti( X, Z ) ) }.
% 0.86/1.36 { ! order( X ), ! ord_less_eq( X, ti( X, Y ), Z ), ord_less_eq( X, Y, Z ) }
% 0.86/1.36 .
% 0.86/1.36 { ! order( X ), ! ord_less_eq( X, Y, Z ), ord_less_eq( X, ti( X, Y ), Z ) }
% 0.86/1.36 .
% 0.86/1.36 { ! order( X ), ! ord_less_eq( X, Y, ti( X, Z ) ), ord_less_eq( X, Y, Z ) }
% 0.86/1.36 .
% 0.86/1.36 { ! order( X ), ! ord_less_eq( X, Y, Z ), ord_less_eq( X, Y, ti( X, Z ) ) }
% 0.86/1.36 .
% 0.86/1.36 { ! power( X ), power_power( X, ti( X, Y ), Z ) = power_power( X, Y, Z ) }
% 0.86/1.36 .
% 0.86/1.36 { ! power( X ), power_power( X, Y, ti( nat, Z ) ) = power_power( X, Y, Z )
% 0.86/1.36 }.
% 0.86/1.36 { ! power( X ), ti( X, power_power( X, Y, Z ) ) = power_power( X, Y, Z ) }
% 0.86/1.36 .
% 0.86/1.36 { product_Pair( int, int, ti( int, X ), Y ) = product_Pair( int, int, X, Y
% 0.86/1.36 ) }.
% 0.86/1.36 { product_Pair( int, int, X, ti( int, Y ) ) = product_Pair( int, int, X, Y
% 0.86/1.36 ) }.
% 0.86/1.36 { ti( product_prod( int, int ), product_Pair( int, int, X, Y ) ) =
% 0.86/1.36 product_Pair( int, int, X, Y ) }.
% 0.86/1.36 { legendre( ti( int, X ), Y ) = legendre( X, Y ) }.
% 0.86/1.36 { legendre( X, ti( int, Y ) ) = legendre( X, Y ) }.
% 0.86/1.36 { ti( int, legendre( X, Y ) ) = legendre( X, Y ) }.
% 0.86/1.36 { ! quadRes( ti( int, X ), Y ), quadRes( X, Y ) }.
% 0.86/1.36 { ! quadRes( X, Y ), quadRes( ti( int, X ), Y ) }.
% 0.86/1.36 { ! quadRes( X, ti( int, Y ) ), quadRes( X, Y ) }.
% 0.86/1.36 { ! quadRes( X, Y ), quadRes( X, ti( int, Y ) ) }.
% 0.86/1.36 { ! dvd( X ), ! dvd_dvd( X, ti( X, Y ), Z ), dvd_dvd( X, Y, Z ) }.
% 0.86/1.36 { ! dvd( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, ti( X, Y ), Z ) }.
% 0.86/1.36 { ! dvd( X ), ! dvd_dvd( X, Y, ti( X, Z ) ), dvd_dvd( X, Y, Z ) }.
% 0.86/1.36 { ! dvd( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, Y, ti( X, Z ) ) }.
% 0.86/1.36 { ! twoSqu420862341sum2sq( ti( int, X ) ), twoSqu420862341sum2sq( X ) }.
% 0.86/1.36 { ! twoSqu420862341sum2sq( X ), twoSqu420862341sum2sq( ti( int, X ) ) }.
% 0.86/1.36 { twoSqu579703163sum2sq( ti( product_prod( int, int ), X ) ) =
% 0.86/1.36 twoSqu579703163sum2sq( X ) }.
% 0.86/1.36 { ti( int, twoSqu579703163sum2sq( X ) ) = twoSqu579703163sum2sq( X ) }.
% 0.86/1.36 { ti( int, m ) = m }.
% 0.86/1.36 { ti( int, s1 ) = s1 }.
% 0.86/1.36 { ti( int, s ) = s }.
% 0.86/1.36 { ti( int, t ) = t }.
% 0.86/1.36 { ord_less_eq( int, one_one( int ), t ) }.
% 0.86/1.36 { ! t = one_one( int ), plus_plus( int, power_power( int, skol1,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( int, skol11
% 0.86/1.36 , number_number_of( nat, bit0( bit1( pls ) ) ) ) ) = plus_plus( int,
% 0.86/1.36 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.86/1.36 ), one_one( int ) ) }.
% 0.86/1.36 { ! ord_less( int, one_one( int ), t ), plus_plus( int, power_power( int,
% 0.86/1.36 skol2, number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( int,
% 0.86/1.36 skol12, number_number_of( nat, bit0( bit1( pls ) ) ) ) ) = plus_plus( int
% 0.86/1.36 , times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) )
% 0.86/1.36 , m ), one_one( int ) ) }.
% 0.86/1.36 { ord_less( int, t, plus_plus( int, times_times( int, number_number_of( int
% 0.86/1.36 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { zprime( plus_plus( int, times_times( int, number_number_of( int, bit0(
% 0.86/1.36 bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { plus_plus( int, power_power( int, s, number_number_of( nat, bit0( bit1(
% 0.86/1.36 pls ) ) ) ), one_one( int ) ) = times_times( int, plus_plus( int,
% 0.86/1.36 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.86/1.36 ), one_one( int ) ), t ) }.
% 0.86/1.36 { twoSqu420862341sum2sq( times_times( int, plus_plus( int, times_times( int
% 0.86/1.36 , number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int
% 0.86/1.36 ) ), t ) ) }.
% 0.86/1.36 { power_power( int, plus_plus( int, X, Y ), number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) = plus_plus( int, plus_plus( int, power_power( int, X,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), times_times( int,
% 0.86/1.36 times_times( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), Y )
% 0.86/1.36 ), power_power( int, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ) )
% 0.86/1.36 }.
% 0.86/1.36 { power_power( int, plus_plus( int, X, Y ), number_number_of( nat, bit1(
% 0.86/1.36 bit1( pls ) ) ) ) = plus_plus( int, plus_plus( int, plus_plus( int,
% 0.86/1.36 power_power( int, X, number_number_of( nat, bit1( bit1( pls ) ) ) ),
% 0.86/1.36 times_times( int, times_times( int, number_number_of( int, bit1( bit1(
% 0.86/1.36 pls ) ) ), power_power( int, X, number_number_of( nat, bit0( bit1( pls )
% 0.86/1.36 ) ) ) ), Y ) ), times_times( int, times_times( int, number_number_of(
% 0.86/1.36 int, bit1( bit1( pls ) ) ), X ), power_power( int, Y, number_number_of(
% 0.86/1.36 nat, bit0( bit1( pls ) ) ) ) ) ), power_power( int, Y, number_number_of(
% 0.86/1.36 nat, bit1( bit1( pls ) ) ) ) ) }.
% 0.86/1.36 { ! number_semiring( X ), power_power( X, plus_plus( X, Y, Z ),
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) = plus_plus( X, plus_plus
% 0.86/1.36 ( X, power_power( X, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.86/1.36 power_power( X, Z, number_number_of( nat, bit0( bit1( pls ) ) ) ) ),
% 0.86/1.36 times_times( X, times_times( X, number_number_of( X, bit0( bit1( pls ) )
% 0.86/1.36 ), Y ), Z ) ) }.
% 0.86/1.36 { ! monoid_mult( X ), ! number( X ), power_power( X, number_number_of( X, Y
% 0.86/1.36 ), number_number_of( nat, bit0( bit1( pls ) ) ) ) = times_times( X,
% 0.86/1.36 number_number_of( X, Y ), number_number_of( X, Y ) ) }.
% 0.86/1.36 { times_times( int, X, power_power( int, X, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) ) = power_power( int, X, number_number_of( nat, bit1(
% 0.86/1.36 bit1( pls ) ) ) ) }.
% 0.86/1.36 { ! semiring_1( X ), power_power( X, one_one( X ), number_number_of( nat,
% 0.86/1.36 bit0( bit1( pls ) ) ) ) = one_one( X ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, Y, Y ) = power_power( X, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) }.
% 0.86/1.36 { ! monoid_mult( X ), power_power( X, Y, number_number_of( nat, bit0( bit1
% 0.86/1.36 ( pls ) ) ) ) = times_times( X, Y, Y ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), power_power( X, Y, times_times( nat,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ), Z ) ) = times_times( X,
% 0.86/1.36 power_power( X, Y, Z ), power_power( X, Y, Z ) ) }.
% 0.86/1.36 { ! number_ring( X ), plus_plus( X, one_one( X ), number_number_of( X, Y )
% 0.86/1.36 ) = number_number_of( X, plus_plus( int, bit1( pls ), Y ) ) }.
% 0.86/1.36 { ! number_ring( X ), plus_plus( X, number_number_of( X, Y ), one_one( X )
% 0.86/1.36 ) = number_number_of( X, plus_plus( int, Y, bit1( pls ) ) ) }.
% 0.86/1.36 { ! number_ring( X ), plus_plus( X, one_one( X ), one_one( X ) ) =
% 0.86/1.36 number_number_of( X, bit0( bit1( pls ) ) ) }.
% 0.86/1.36 { plus_plus( int, power_power( int, s, number_number_of( nat, bit0( bit1(
% 0.86/1.36 pls ) ) ) ), one_one( int ) ) = times_times( int, plus_plus( int,
% 0.86/1.36 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.86/1.36 ), one_one( int ) ), skol3 ) }.
% 0.86/1.36 { ord_less_eq( int, X, X ) }.
% 0.86/1.36 { ord_less_eq( int, X, Y ), ord_less_eq( int, Y, X ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ! ti( int, X ) = ti( int, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ti( int, X ) = ti( int, Y ), ord_less( int, X
% 0.86/1.36 , Y ) }.
% 0.86/1.36 { ord_less( int, X, Y ), ti( int, X ) = ti( int, Y ), ord_less( int, Y, X )
% 0.86/1.36 }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ! ord_less_eq( int, Y, Z ), ord_less_eq( int
% 0.86/1.36 , X, Z ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ! ord_less_eq( int, Y, X ), ti( int, X ) = ti
% 0.86/1.36 ( int, Y ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), power_power( X, power_power( X, Y, Z ), T ) =
% 0.86/1.36 power_power( X, Y, times_times( nat, Z, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), power_power( X, Y, one_one( nat ) ) = ti( X, Y )
% 0.86/1.36 }.
% 0.86/1.36 { power_power( int, power_power( int, X, Y ), Z ) = power_power( int, X,
% 0.86/1.36 times_times( nat, Y, Z ) ) }.
% 0.86/1.36 { ! number( X ), ! linorder( X ), ! ord_less_eq( X, number_number_of( X, Y
% 0.86/1.36 ), number_number_of( X, Z ) ), ! ord_less( X, number_number_of( X, Z ),
% 0.86/1.36 number_number_of( X, Y ) ) }.
% 0.86/1.36 { ! number( X ), ! linorder( X ), ord_less( X, number_number_of( X, Z ),
% 0.86/1.36 number_number_of( X, Y ) ), ord_less_eq( X, number_number_of( X, Y ),
% 0.86/1.36 number_number_of( X, Z ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X,
% 0.86/1.36 number_number_of( X, Y ), number_number_of( X, Z ) ), ord_less( int, Y, Z
% 0.86/1.36 ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, Y, Z ),
% 0.86/1.36 ord_less( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X,
% 0.86/1.36 number_number_of( X, Y ), number_number_of( X, Z ) ), ord_less_eq( int, Y
% 0.86/1.36 , Z ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, Y, Z ),
% 0.86/1.36 ord_less_eq( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ! ord_less_eq( int, Z, T ), ord_less( int,
% 0.86/1.36 plus_plus( int, X, Z ), plus_plus( int, Y, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, power_power( X, Y, Z ),
% 0.86/1.36 power_power( X, Y, T ) ) = power_power( X, Y, plus_plus( nat, Z, T ) ) }
% 0.86/1.36 .
% 0.86/1.36 { power_power( int, X, plus_plus( nat, Y, Z ) ) = times_times( int,
% 0.86/1.36 power_power( int, X, Y ), power_power( int, X, Z ) ) }.
% 0.86/1.36 { times_times( nat, number_number_of( nat, bit0( bit1( pls ) ) ), X ) =
% 0.86/1.36 plus_plus( nat, X, X ) }.
% 0.86/1.36 { times_times( nat, X, number_number_of( nat, bit0( bit1( pls ) ) ) ) =
% 0.86/1.36 plus_plus( nat, X, X ) }.
% 0.86/1.36 { plus_plus( nat, one_one( nat ), one_one( nat ) ) = number_number_of( nat
% 0.86/1.36 , bit0( bit1( pls ) ) ) }.
% 0.86/1.36 { ! ord_less( int, bit1( X ), bit1( Y ) ), ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, bit1( X ), bit1( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, bit1( X ), bit1( Y ) ), ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, bit1( X ), bit1( Y ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit1( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit1( X ), bit1( Y ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit1( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit1( X ), bit1( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, pls, pls ) }.
% 0.86/1.36 { ! ord_less( int, bit0( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, bit0( X ), bit0( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, bit0( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, bit0( X ), bit0( Y ) ) }.
% 0.86/1.36 { ord_less_eq( int, pls, pls ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit0( X ), bit0( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit0( X ), bit0( Y ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit0( X ), bit0( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit0( X ), bit0( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, number_number_of( int, X ), number_number_of( int, Y ) )
% 0.86/1.36 , ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, number_number_of( int, X ),
% 0.86/1.36 number_number_of( int, Y ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, number_number_of( int, X ), number_number_of( int, Y
% 0.86/1.36 ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, number_number_of( int, X )
% 0.86/1.36 , number_number_of( int, Y ) ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, plus_plus( int, X, Z ), plus_plus
% 0.86/1.36 ( int, Y, Z ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, plus_plus( int, Z, X ),
% 0.86/1.36 plus_plus( int, Z, Y ) ) }.
% 0.86/1.36 { ! ord_less( int, Y, pls ), plus_plus( nat, number_number_of( nat, Y ),
% 0.86/1.36 number_number_of( nat, X ) ) = number_number_of( nat, X ) }.
% 0.86/1.36 { ord_less( int, Y, pls ), ! ord_less( int, X, pls ), plus_plus( nat,
% 0.86/1.36 number_number_of( nat, Y ), number_number_of( nat, X ) ) =
% 0.86/1.36 number_number_of( nat, Y ) }.
% 0.86/1.36 { ord_less( int, Y, pls ), ord_less( int, X, pls ), plus_plus( nat,
% 0.86/1.36 number_number_of( nat, Y ), number_number_of( nat, X ) ) =
% 0.86/1.36 number_number_of( nat, plus_plus( int, Y, X ) ) }.
% 0.86/1.36 { number_number_of( nat, bit1( pls ) ) = one_one( nat ) }.
% 0.86/1.36 { one_one( nat ) = number_number_of( nat, bit1( pls ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit1( X ), pls ), ord_less( int, X, pls ) }.
% 0.86/1.36 { ! ord_less( int, X, pls ), ord_less_eq( int, bit1( X ), pls ) }.
% 0.86/1.36 { ! ord_less( int, pls, bit1( X ) ), ord_less_eq( int, pls, X ) }.
% 0.86/1.36 { ! ord_less_eq( int, pls, X ), ord_less( int, pls, bit1( X ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit1( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less_eq( int, bit1( X ), bit0( Y ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit1( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less_eq( int, bit1( X ), bit0( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, bit0( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less( int, bit0( X ), bit1( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, bit0( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less( int, bit0( X ), bit1( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less_eq( int, plus_plus( int, X, one_one(
% 0.86/1.36 int ) ), Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, plus_plus( int, X, one_one( int ) ), Y ), ord_less(
% 0.86/1.36 int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less_eq( int, plus_plus( int, X, one_one(
% 0.86/1.36 int ) ), Y ) }.
% 0.86/1.36 { ! ord_less( int, X, plus_plus( int, Y, one_one( int ) ) ), ord_less_eq(
% 0.86/1.36 int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less( int, X, plus_plus( int, Y, one_one
% 0.86/1.36 ( int ) ) ) }.
% 0.86/1.36 { zprime( number_number_of( int, bit0( bit1( pls ) ) ) ) }.
% 0.86/1.36 { ! twoSqu420862341sum2sq( X ), ! twoSqu420862341sum2sq( Y ),
% 0.86/1.36 twoSqu420862341sum2sq( times_times( int, X, Y ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ),
% 0.86/1.36 times_times( X, T, U ) ) = times_times( X, times_times( X, Y, T ),
% 0.86/1.36 times_times( X, Z, U ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ),
% 0.86/1.36 times_times( X, T, U ) ) = times_times( X, T, times_times( X, times_times
% 0.86/1.36 ( X, Y, Z ), U ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ),
% 0.86/1.36 times_times( X, T, U ) ) = times_times( X, Y, times_times( X, Z,
% 0.86/1.36 times_times( X, T, U ) ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ), T ) =
% 0.86/1.36 times_times( X, times_times( X, Y, T ), Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, times_times( X, Y, Z ), T ) =
% 0.86/1.36 times_times( X, Y, times_times( X, Z, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, Y, times_times( X, Z, T ) ) =
% 0.86/1.36 times_times( X, times_times( X, Y, Z ), T ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, Y, times_times( X, Z, T ) ) =
% 0.86/1.36 times_times( X, Z, times_times( X, Y, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, Y, Z ) = times_times( X, Z, Y ) }
% 0.86/1.36 .
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, plus_plus( X, Y, Z ), plus_plus( X
% 0.86/1.36 , T, U ) ) = plus_plus( X, plus_plus( X, Y, T ), plus_plus( X, Z, U ) ) }
% 0.86/1.36 .
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, plus_plus( X, Y, Z ), T ) =
% 0.86/1.36 plus_plus( X, plus_plus( X, Y, T ), Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, plus_plus( X, Y, Z ), T ) =
% 0.86/1.36 plus_plus( X, Y, plus_plus( X, Z, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, Y, plus_plus( X, Z, T ) ) =
% 0.86/1.36 plus_plus( X, plus_plus( X, Y, Z ), T ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, Y, plus_plus( X, Z, T ) ) =
% 0.86/1.36 plus_plus( X, Z, plus_plus( X, Y, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, Y, Z ) = plus_plus( X, Z, Y ) }.
% 0.86/1.36 { ! number_ring( X ), ! ring_char_0( X ), ! number_number_of( X, Y ) =
% 0.86/1.36 number_number_of( X, Z ), ti( int, Y ) = ti( int, Z ) }.
% 0.86/1.36 { ! number_ring( X ), ! ring_char_0( X ), ! ti( int, Y ) = ti( int, Z ),
% 0.86/1.36 number_number_of( X, Y ) = number_number_of( X, Z ) }.
% 0.86/1.36 { ! number( X ), ! number_number_of( X, Y ) = ti( X, Z ), ti( X, Z ) =
% 0.86/1.36 number_number_of( X, Y ) }.
% 0.86/1.36 { ! number( X ), ! ti( X, Z ) = number_number_of( X, Y ), number_number_of
% 0.86/1.36 ( X, Y ) = ti( X, Z ) }.
% 0.86/1.36 { ! bit1( X ) = bit1( Y ), ti( int, X ) = ti( int, Y ) }.
% 0.86/1.36 { ! ti( int, X ) = ti( int, Y ), bit1( X ) = bit1( Y ) }.
% 0.86/1.36 { ! bit0( X ) = bit0( Y ), ti( int, X ) = ti( int, Y ) }.
% 0.86/1.36 { ! ti( int, X ) = ti( int, Y ), bit0( X ) = bit0( Y ) }.
% 0.86/1.36 { times_times( int, times_times( int, X, Y ), Z ) = times_times( int, X,
% 0.86/1.36 times_times( int, Y, Z ) ) }.
% 0.86/1.36 { times_times( int, X, Y ) = times_times( int, Y, X ) }.
% 0.86/1.36 { number_number_of( int, X ) = ti( int, X ) }.
% 0.86/1.36 { plus_plus( int, plus_plus( int, X, Y ), Z ) = plus_plus( int, X,
% 0.86/1.36 plus_plus( int, Y, Z ) ) }.
% 0.86/1.36 { plus_plus( int, X, plus_plus( int, Y, Z ) ) = plus_plus( int, Y,
% 0.86/1.36 plus_plus( int, X, Z ) ) }.
% 0.86/1.36 { plus_plus( int, X, Y ) = plus_plus( int, Y, X ) }.
% 0.86/1.36 { ! ord_less( int, bit1( X ), pls ), ord_less( int, X, pls ) }.
% 0.86/1.36 { ! ord_less( int, X, pls ), ord_less( int, bit1( X ), pls ) }.
% 0.86/1.36 { ! ord_less( int, bit1( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, bit1( X ), bit0( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, bit1( X ), bit0( Y ) ), ord_less( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, bit1( X ), bit0( Y ) ) }.
% 0.86/1.36 { ! ord_less( int, bit0( X ), pls ), ord_less( int, X, pls ) }.
% 0.86/1.36 { ! ord_less( int, X, pls ), ord_less( int, bit0( X ), pls ) }.
% 0.86/1.36 { ! ord_less( int, pls, bit0( X ) ), ord_less( int, pls, X ) }.
% 0.86/1.36 { ! ord_less( int, pls, X ), ord_less( int, pls, bit0( X ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, pls, bit1( X ) ), ord_less_eq( int, pls, X ) }.
% 0.86/1.36 { ! ord_less_eq( int, pls, X ), ord_less_eq( int, pls, bit1( X ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit0( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit0( X ), bit1( Y ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit0( X ), bit1( Y ) ), ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( int, bit0( X ), bit1( Y ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit0( X ), pls ), ord_less_eq( int, X, pls ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, pls ), ord_less_eq( int, bit0( X ), pls ) }.
% 0.86/1.36 { ! ord_less_eq( int, pls, bit0( X ) ), ord_less_eq( int, pls, X ) }.
% 0.86/1.36 { ! ord_less_eq( int, pls, X ), ord_less_eq( int, pls, bit0( X ) ) }.
% 0.86/1.36 { ! ord_less( int, X, plus_plus( int, Y, one_one( int ) ) ), ord_less( int
% 0.86/1.36 , X, Y ), ti( int, X ) = ti( int, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, X, plus_plus( int, Y, one_one(
% 0.86/1.36 int ) ) ) }.
% 0.86/1.36 { ! ti( int, X ) = ti( int, Y ), ord_less( int, X, plus_plus( int, Y,
% 0.86/1.36 one_one( int ) ) ) }.
% 0.86/1.36 { ! monoid_mult( X ), power_power( X, Y, times_times( nat, number_number_of
% 0.86/1.36 ( nat, bit0( bit1( pls ) ) ), Z ) ) = power_power( X, power_power( X, Y,
% 0.86/1.36 Z ), number_number_of( nat, bit0( bit1( pls ) ) ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X,
% 0.86/1.36 number_number_of( X, Y ), one_one( X ) ), ord_less( int, Y, bit1( pls ) )
% 0.86/1.36 }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, Y, bit1( pls
% 0.86/1.36 ) ), ord_less( X, number_number_of( X, Y ), one_one( X ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X, one_one( X ),
% 0.86/1.36 number_number_of( X, Y ) ), ord_less( int, bit1( pls ), Y ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, bit1( pls )
% 0.86/1.36 , Y ), ord_less( X, one_one( X ), number_number_of( X, Y ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X,
% 0.86/1.36 number_number_of( X, Y ), one_one( X ) ), ord_less_eq( int, Y, bit1( pls
% 0.86/1.36 ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, Y, bit1(
% 0.86/1.36 pls ) ), ord_less_eq( X, number_number_of( X, Y ), one_one( X ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X, one_one( X
% 0.86/1.36 ), number_number_of( X, Y ) ), ord_less_eq( int, bit1( pls ), Y ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, bit1( pls
% 0.86/1.36 ), Y ), ord_less_eq( X, one_one( X ), number_number_of( X, Y ) ) }.
% 0.86/1.36 { ! semiri456707255roduct( X ), ! plus_plus( X, times_times( X, Y, Z ),
% 0.86/1.36 times_times( X, T, U ) ) = plus_plus( X, times_times( X, Y, U ),
% 0.86/1.36 times_times( X, T, Z ) ), ti( X, Y ) = ti( X, T ), ti( X, Z ) = ti( X, U
% 0.86/1.36 ) }.
% 0.86/1.36 { ! semiri456707255roduct( X ), ! ti( X, Y ) = ti( X, T ), plus_plus( X,
% 0.86/1.36 times_times( X, Y, Z ), times_times( X, T, U ) ) = plus_plus( X,
% 0.86/1.36 times_times( X, Y, U ), times_times( X, T, Z ) ) }.
% 0.86/1.36 { ! semiri456707255roduct( X ), ! ti( X, Z ) = ti( X, U ), plus_plus( X,
% 0.86/1.36 times_times( X, Y, Z ), times_times( X, T, U ) ) = plus_plus( X,
% 0.86/1.36 times_times( X, Y, U ), times_times( X, T, Z ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, times_times( X, Y, Z ), times_times
% 0.86/1.36 ( X, T, Z ) ) = times_times( X, plus_plus( X, Y, T ), Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, plus_plus( X, Y, Z ), T ) =
% 0.86/1.36 plus_plus( X, times_times( X, Y, T ), times_times( X, Z, T ) ) }.
% 0.86/1.36 { ! semiri456707255roduct( X ), ti( X, T ) = ti( X, U ), ti( X, Y ) = ti( X
% 0.86/1.36 , Z ), ! plus_plus( X, times_times( X, T, Y ), times_times( X, U, Z ) ) =
% 0.86/1.36 plus_plus( X, times_times( X, T, Z ), times_times( X, U, Y ) ) }.
% 0.86/1.36 { ! semiri456707255roduct( X ), plus_plus( X, times_times( X, T, Y ),
% 0.86/1.36 times_times( X, U, Z ) ) = plus_plus( X, times_times( X, T, Z ),
% 0.86/1.36 times_times( X, U, Y ) ), ! ti( X, T ) = ti( X, U ) }.
% 0.86/1.36 { ! semiri456707255roduct( X ), plus_plus( X, times_times( X, T, Y ),
% 0.86/1.36 times_times( X, U, Z ) ) = plus_plus( X, times_times( X, T, Z ),
% 0.86/1.36 times_times( X, U, Y ) ), ! ti( X, Y ) = ti( X, Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, Y, plus_plus( X, Z, T ) ) =
% 0.86/1.36 plus_plus( X, times_times( X, Y, Z ), times_times( X, Y, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, Y, one_one( X ) ) = ti( X, Y ) }
% 0.86/1.36 .
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, one_one( X ), Y ) = ti( X, Y ) }
% 0.86/1.36 .
% 0.86/1.36 { ! comm_semiring_1( X ), power_power( X, times_times( X, Y, Z ), T ) =
% 0.86/1.36 times_times( X, power_power( X, Y, T ), power_power( X, Z, T ) ) }.
% 0.86/1.36 { ! bit1( X ) = pls }.
% 0.86/1.36 { ! pls = bit1( X ) }.
% 0.86/1.36 { ! bit1( X ) = bit0( Y ) }.
% 0.86/1.36 { ! bit0( X ) = bit1( Y ) }.
% 0.86/1.36 { ! bit0( X ) = pls, ti( int, X ) = pls }.
% 0.86/1.36 { ! ti( int, X ) = pls, bit0( X ) = pls }.
% 0.86/1.36 { ! pls = bit0( X ), pls = ti( int, X ) }.
% 0.86/1.36 { ! pls = ti( int, X ), pls = bit0( X ) }.
% 0.86/1.36 { bit0( pls ) = pls }.
% 0.86/1.36 { times_times( int, pls, X ) = pls }.
% 0.86/1.36 { times_times( int, bit0( X ), Y ) = bit0( times_times( int, X, Y ) ) }.
% 0.86/1.36 { plus_plus( int, X, pls ) = ti( int, X ) }.
% 0.86/1.36 { plus_plus( int, pls, X ) = ti( int, X ) }.
% 0.86/1.36 { plus_plus( int, bit0( X ), bit0( Y ) ) = bit0( plus_plus( int, X, Y ) ) }
% 0.86/1.36 .
% 0.86/1.36 { bit0( X ) = plus_plus( int, X, X ) }.
% 0.86/1.36 { times_times( int, X, one_one( int ) ) = ti( int, X ) }.
% 0.86/1.36 { times_times( int, one_one( int ), X ) = ti( int, X ) }.
% 0.86/1.36 { times_times( int, number_number_of( int, X ), number_number_of( int, Y )
% 0.86/1.36 ) = number_number_of( int, times_times( int, X, Y ) ) }.
% 0.86/1.36 { times_times( int, plus_plus( int, X, Y ), Z ) = plus_plus( int,
% 0.86/1.36 times_times( int, X, Z ), times_times( int, Y, Z ) ) }.
% 0.86/1.36 { times_times( int, X, plus_plus( int, Y, Z ) ) = plus_plus( int,
% 0.86/1.36 times_times( int, X, Y ), times_times( int, X, Z ) ) }.
% 0.86/1.36 { plus_plus( int, number_number_of( int, X ), number_number_of( int, Y ) )
% 0.86/1.36 = number_number_of( int, plus_plus( int, X, Y ) ) }.
% 0.86/1.36 { ! number_semiring( X ), ! ord_less_eq( int, pls, Y ), ! ord_less_eq( int
% 0.86/1.36 , pls, Z ), times_times( X, number_number_of( X, Y ), number_number_of( X
% 0.86/1.36 , Z ) ) = number_number_of( X, times_times( int, Y, Z ) ) }.
% 0.86/1.36 { ! number_semiring( X ), ! ord_less_eq( int, pls, Y ), ! ord_less_eq( int
% 0.86/1.36 , pls, Z ), plus_plus( X, number_number_of( X, Y ), number_number_of( X,
% 0.86/1.36 Z ) ) = number_number_of( X, plus_plus( int, Y, Z ) ) }.
% 0.86/1.36 { ord_less_eq( int, X, power_power( int, X, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) ) }.
% 0.86/1.36 { ! number( X ), ! semiring( X ), times_times( X, plus_plus( X, Y, Z ),
% 0.86/1.36 number_number_of( X, T ) ) = plus_plus( X, times_times( X, Y,
% 0.86/1.36 number_number_of( X, T ) ), times_times( X, Z, number_number_of( X, T ) )
% 0.86/1.36 ) }.
% 0.86/1.36 { ! number( X ), ! semiring( X ), times_times( X, number_number_of( X, Y )
% 0.86/1.36 , plus_plus( X, Z, T ) ) = plus_plus( X, times_times( X, number_number_of
% 0.86/1.36 ( X, Y ), Z ), times_times( X, number_number_of( X, Y ), T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, times_times( X, Y, Z ), Z ) =
% 0.86/1.36 times_times( X, plus_plus( X, Y, one_one( X ) ), Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, Y, times_times( X, Z, Y ) ) =
% 0.86/1.36 times_times( X, plus_plus( X, Z, one_one( X ) ), Y ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, Y, Y ) = times_times( X, plus_plus
% 0.86/1.36 ( X, one_one( X ), one_one( X ) ), Y ) }.
% 0.86/1.36 { ! number_ring( X ), plus_plus( X, number_number_of( X, pls ), Y ) = ti( X
% 0.86/1.36 , Y ) }.
% 0.86/1.36 { ! number_ring( X ), plus_plus( X, Y, number_number_of( X, pls ) ) = ti( X
% 0.86/1.36 , Y ) }.
% 0.86/1.36 { ! number_ring( X ), times_times( X, number_number_of( X, Y ), times_times
% 0.86/1.36 ( X, number_number_of( X, Z ), T ) ) = times_times( X, number_number_of(
% 0.86/1.36 X, times_times( int, Y, Z ) ), T ) }.
% 0.86/1.36 { ! number_ring( X ), times_times( X, number_number_of( X, Y ),
% 0.86/1.36 number_number_of( X, Z ) ) = number_number_of( X, times_times( int, Y, Z
% 0.86/1.36 ) ) }.
% 0.86/1.36 { ! number_ring( X ), number_number_of( X, times_times( int, Y, Z ) ) =
% 0.86/1.36 times_times( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.86/1.36 { ! number_ring( X ), plus_plus( X, number_number_of( X, Y ), plus_plus( X
% 0.86/1.36 , number_number_of( X, Z ), T ) ) = plus_plus( X, number_number_of( X,
% 0.86/1.36 plus_plus( int, Y, Z ) ), T ) }.
% 0.86/1.36 { ! number_ring( X ), plus_plus( X, number_number_of( X, Y ),
% 0.86/1.36 number_number_of( X, Z ) ) = number_number_of( X, plus_plus( int, Y, Z )
% 0.86/1.36 ) }.
% 0.86/1.36 { ! number_ring( X ), number_number_of( X, plus_plus( int, Y, Z ) ) =
% 0.86/1.36 plus_plus( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.86/1.36 { plus_plus( int, bit1( X ), bit0( Y ) ) = bit1( plus_plus( int, X, Y ) ) }
% 0.86/1.36 .
% 0.86/1.36 { plus_plus( int, bit0( X ), bit1( Y ) ) = bit1( plus_plus( int, X, Y ) ) }
% 0.86/1.36 .
% 0.86/1.36 { bit1( X ) = plus_plus( int, plus_plus( int, one_one( int ), X ), X ) }.
% 0.86/1.36 { ! number_ring( X ), number_number_of( X, bit1( Y ) ) = plus_plus( X,
% 0.86/1.36 plus_plus( X, one_one( X ), number_number_of( X, Y ) ), number_number_of
% 0.86/1.36 ( X, Y ) ) }.
% 0.86/1.36 { ! number_ring( X ), times_times( X, number_number_of( X, bit1( pls ) ), Y
% 0.86/1.36 ) = ti( X, Y ) }.
% 0.86/1.36 { ! number_ring( X ), times_times( X, Y, number_number_of( X, bit1( pls ) )
% 0.86/1.36 ) = ti( X, Y ) }.
% 0.86/1.36 { ! number_semiring( X ), number_number_of( X, bit1( pls ) ) = one_one( X )
% 0.86/1.36 }.
% 0.86/1.36 { ! number_ring( X ), number_number_of( X, bit1( pls ) ) = one_one( X ) }.
% 0.86/1.36 { ! number_ring( X ), one_one( X ) = number_number_of( X, bit1( pls ) ) }.
% 0.86/1.36 { one_one( int ) = number_number_of( int, bit1( pls ) ) }.
% 0.86/1.36 { times_times( int, bit1( X ), Y ) = plus_plus( int, bit0( times_times( int
% 0.86/1.36 , X, Y ) ), Y ) }.
% 0.86/1.36 { ! number_ring( X ), times_times( X, plus_plus( X, one_one( X ), one_one(
% 0.86/1.36 X ) ), number_number_of( X, Y ) ) = number_number_of( X, bit0( Y ) ) }.
% 0.86/1.36 { ! monoid_mult( X ), power_power( X, Y, number_number_of( nat, bit1( bit1
% 0.86/1.36 ( pls ) ) ) ) = times_times( X, times_times( X, Y, Y ), Y ) }.
% 0.86/1.36 { power_power( int, power_power( int, X, number_number_of( nat, bit0( bit1
% 0.86/1.36 ( pls ) ) ) ), number_number_of( nat, bit0( bit1( pls ) ) ) ) =
% 0.86/1.36 power_power( int, X, number_number_of( nat, bit0( bit0( bit1( pls ) ) ) )
% 0.86/1.36 ) }.
% 0.86/1.36 { ! number_semiring( X ), times_times( X, number_number_of( X, bit0( bit1(
% 0.86/1.36 pls ) ) ), Y ) = plus_plus( X, Y, Y ) }.
% 0.86/1.36 { ! number_ring( X ), times_times( X, number_number_of( X, bit0( bit1( pls
% 0.86/1.36 ) ) ), Y ) = plus_plus( X, Y, Y ) }.
% 0.86/1.36 { ! number_semiring( X ), times_times( X, Y, number_number_of( X, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) = plus_plus( X, Y, Y ) }.
% 0.86/1.36 { ! number_ring( X ), times_times( X, Y, number_number_of( X, bit0( bit1(
% 0.86/1.36 pls ) ) ) ) = plus_plus( X, Y, Y ) }.
% 0.86/1.36 { ! number_semiring( X ), plus_plus( X, one_one( X ), one_one( X ) ) =
% 0.86/1.36 number_number_of( X, bit0( bit1( pls ) ) ) }.
% 0.86/1.36 { ord_less( int, zero_zero( int ), plus_plus( int, times_times( int,
% 0.86/1.36 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.86/1.36 ) ) }.
% 0.86/1.36 { dvd_dvd( int, plus_plus( int, times_times( int, number_number_of( int,
% 0.86/1.36 bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), plus_plus( int,
% 0.86/1.36 power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.86/1.36 one_one( int ) ) ) }.
% 0.86/1.36 { ! zprime( X ), ti( int, X ) = number_number_of( int, bit0( bit1( pls ) )
% 0.86/1.36 ), ti( int, X ) = number_number_of( int, bit1( bit1( pls ) ) ),
% 0.86/1.36 ord_less_eq( int, number_number_of( int, bit1( bit0( bit1( pls ) ) ) ), X
% 0.86/1.36 ) }.
% 0.86/1.36 { twoSqu579703163sum2sq( product_Pair( int, int, s, one_one( int ) ) ) =
% 0.86/1.36 times_times( int, plus_plus( int, times_times( int, number_number_of( int
% 0.86/1.36 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), t ) }.
% 0.86/1.36 { power_power( real, plus_plus( real, X, Y ), number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) = plus_plus( real, plus_plus( real, power_power( real,
% 0.86/1.36 X, number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( real, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), times_times( real,
% 0.86/1.36 times_times( real, number_number_of( real, bit0( bit1( pls ) ) ), X ), Y
% 0.86/1.36 ) ) }.
% 0.86/1.36 { times_times( real, number_number_of( real, bit0( bit0( bit1( pls ) ) ) )
% 0.86/1.36 , power_power( real, X, number_number_of( nat, bit0( bit1( pls ) ) ) ) )
% 0.86/1.36 = power_power( real, times_times( real, number_number_of( real, bit0(
% 0.86/1.36 bit1( pls ) ) ), X ), number_number_of( nat, bit0( bit1( pls ) ) ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ord_less( X
% 0.86/1.36 , power_power( X, Y, Z ), times_times( X, Y, power_power( X, Y, Z ) ) ) }
% 0.86/1.36 .
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ord_less( X
% 0.86/1.36 , one_one( X ), times_times( X, Y, power_power( X, Y, Z ) ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), !
% 0.86/1.36 ord_less_eq( X, power_power( X, Y, Z ), power_power( X, Y, T ) ),
% 0.86/1.36 ord_less_eq( nat, Z, T ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), !
% 0.86/1.36 ord_less_eq( X, power_power( X, Y, Z ), power_power( X, Y, T ) ),
% 0.86/1.36 ord_less_eq( nat, Z, T ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), !
% 0.86/1.36 ord_less_eq( nat, Z, T ), ord_less_eq( X, power_power( X, Y, Z ),
% 0.86/1.36 power_power( X, Y, T ) ) }.
% 0.86/1.36 { zcong( power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) )
% 0.86/1.36 ), power_power( int, s1, number_number_of( nat, bit0( bit1( pls ) ) ) )
% 0.86/1.36 , plus_plus( int, times_times( int, number_number_of( int, bit0( bit0(
% 0.86/1.36 bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { ord_less_eq( int, zero_zero( int ), s ) }.
% 0.86/1.36 { ord_less( int, s, plus_plus( int, times_times( int, number_number_of( int
% 0.86/1.36 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { zcong( s1, s, plus_plus( int, times_times( int, number_number_of( int,
% 0.86/1.36 bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { ord_less_eq( int, zero_zero( int ), skol4 ) }.
% 0.86/1.36 { ord_less( int, skol4, plus_plus( int, times_times( int, number_number_of
% 0.86/1.36 ( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { zcong( s1, skol4, plus_plus( int, times_times( int, number_number_of( int
% 0.86/1.36 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X, plus_plus
% 0.86/1.36 ( int, times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) )
% 0.86/1.36 ) ), m ), one_one( int ) ) ), ! zcong( s1, X, plus_plus( int,
% 0.86/1.36 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.86/1.36 ), one_one( int ) ) ), ti( int, X ) = ti( int, skol4 ) }.
% 0.86/1.36 { ord_less_eq( int, zero_zero( int ), skol5 ) }.
% 0.86/1.36 { ord_less( int, skol5, plus_plus( int, times_times( int, number_number_of
% 0.86/1.36 ( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { zcong( s1, skol5, plus_plus( int, times_times( int, number_number_of( int
% 0.86/1.36 , bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) ) }.
% 0.86/1.36 { zcong( power_power( int, s1, number_number_of( nat, bit0( bit1( pls ) ) )
% 0.86/1.36 ), number_number_of( int, min ), plus_plus( int, times_times( int,
% 0.86/1.36 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.86/1.36 ) ) }.
% 0.86/1.36 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.86/1.36 X ), ! power_power( X, Y, Z ) = zero_zero( X ), ti( X, Y ) = zero_zero( X
% 0.86/1.36 ) }.
% 0.86/1.36 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.86/1.36 X ), ! power_power( X, Y, Z ) = zero_zero( X ), ! Z = zero_zero( nat ) }
% 0.86/1.36 .
% 0.86/1.36 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.86/1.36 X ), ! ti( X, Y ) = zero_zero( X ), Z = zero_zero( nat ), power_power( X
% 0.86/1.36 , Y, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! ord_less_eq( nat, Y, Z ), dvd_dvd( X,
% 0.86/1.36 power_power( X, T, Y ), power_power( X, T, Z ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), ! ord_less_eq( nat, T, U )
% 0.86/1.36 , dvd_dvd( X, power_power( X, Y, T ), power_power( X, Z, U ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, power_power( X, Y, Z ), T ), !
% 0.86/1.36 ord_less_eq( nat, U, Z ), dvd_dvd( X, power_power( X, Y, U ), T ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! power_power( X, Y, Z ) = power_power( X, T,
% 0.86/1.36 Z ), ! ord_less_eq( X, zero_zero( X ), Y ), ! ord_less_eq( X, zero_zero(
% 0.86/1.36 X ), T ), ! ord_less( nat, zero_zero( nat ), Z ), ti( X, Y ) = ti( X, T )
% 0.86/1.36 }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.86/1.36 dvd_dvd( int, Y, X ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less_eq( int, zero_zero
% 0.86/1.36 ( int ), Y ), ! dvd_dvd( int, X, Y ), ! dvd_dvd( int, Y, X ), ti( int, X
% 0.86/1.36 ) = ti( int, Y ) }.
% 0.86/1.36 { ! dvd_dvd( int, times_times( int, X, Y ), times_times( int, X, Z ) ), ti
% 0.86/1.36 ( int, X ) = zero_zero( int ), dvd_dvd( int, Y, Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, power_power( X
% 0.86/1.36 , Y, T ), power_power( X, Z, T ) ) }.
% 0.86/1.36 { ! ring_11004092258visors( X ), ti( X, Y ) = zero_zero( X ), ! power_power
% 0.86/1.36 ( X, Y, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! power( X ), ! semiring_0( X ), ! Y = zero_zero( nat ), power_power( X,
% 0.86/1.36 zero_zero( X ), Y ) = one_one( X ) }.
% 0.86/1.36 { ! power( X ), ! semiring_0( X ), Y = zero_zero( nat ), power_power( X,
% 0.86/1.36 zero_zero( X ), Y ) = zero_zero( X ) }.
% 0.86/1.36 { ! dvd_dvd( int, X, Y ), ! ord_less( int, zero_zero( int ), Y ),
% 0.86/1.36 ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, Y, Z ), ! ord_less_eq( X,
% 0.86/1.36 zero_zero( X ), Y ), ! ord_less( nat, zero_zero( nat ), T ), ord_less( X
% 0.86/1.36 , power_power( X, Y, T ), power_power( X, Z, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, zero_zero( X ), Y ) = zero_zero(
% 0.86/1.36 X ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), times_times( X, Y, zero_zero( X ) ) = zero_zero(
% 0.86/1.36 X ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, zero_zero( X ), Y ) = ti( X, Y ) }
% 0.86/1.36 .
% 0.86/1.36 { ! comm_semiring_1( X ), plus_plus( X, Y, zero_zero( X ) ) = ti( X, Y ) }
% 0.86/1.36 .
% 0.86/1.36 { ! semiri456707255roduct( X ), ! ti( X, Y ) = plus_plus( X, Y, Z ), ti( X
% 0.86/1.36 , Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! semiri456707255roduct( X ), ! ti( X, Z ) = zero_zero( X ), ti( X, Y ) =
% 0.86/1.36 plus_plus( X, Y, Z ) }.
% 0.86/1.36 { ! linord219039673up_add( X ), ! plus_plus( X, Y, Y ) = zero_zero( X ), ti
% 0.86/1.36 ( X, Y ) = zero_zero( X ) }.
% 0.86/1.36 { ! linord219039673up_add( X ), ! ti( X, Y ) = zero_zero( X ), plus_plus( X
% 0.86/1.36 , Y, Y ) = zero_zero( X ) }.
% 0.86/1.36 { pls = zero_zero( int ) }.
% 0.86/1.36 { ! zero_zero( int ) = one_one( int ) }.
% 0.86/1.36 { plus_plus( int, zero_zero( int ), X ) = ti( int, X ) }.
% 0.86/1.36 { plus_plus( int, X, zero_zero( int ) ) = ti( int, X ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less_eq( X, zero_zero( X ), Y ),
% 0.86/1.36 ord_less_eq( X, zero_zero( X ), power_power( X, Y, Z ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less_eq( X, Y, Z ), ! ord_less_eq( X,
% 0.86/1.36 zero_zero( X ), Y ), ord_less_eq( X, power_power( X, Y, T ), power_power
% 0.86/1.36 ( X, Z, T ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, zero_zero( X ), Y ), ord_less(
% 0.86/1.36 X, zero_zero( X ), power_power( X, Y, Z ) ) }.
% 0.86/1.36 { ! zcong( power_power( int, X, Y ), one_one( int ), Z ), zcong(
% 0.86/1.36 power_power( int, X, times_times( nat, Y, T ) ), one_one( int ), Z ) }.
% 0.86/1.36 { ! dvd_dvd( int, X, plus_plus( int, Y, times_times( int, X, Z ) ) ),
% 0.86/1.36 dvd_dvd( int, X, Y ) }.
% 0.86/1.36 { ! dvd_dvd( int, X, Y ), dvd_dvd( int, X, plus_plus( int, Y, times_times(
% 0.86/1.36 int, X, Z ) ) ) }.
% 0.86/1.36 { ! dvd_dvd( int, X, Y ), ! dvd_dvd( int, X, plus_plus( int, T, U ) ),
% 0.86/1.36 dvd_dvd( int, X, plus_plus( int, plus_plus( int, T, times_times( int, Z,
% 0.86/1.36 Y ) ), U ) ) }.
% 0.86/1.36 { ! dvd_dvd( int, X, Y ), ! dvd_dvd( int, X, plus_plus( int, plus_plus( int
% 0.86/1.36 , T, times_times( int, Z, Y ) ), U ) ), dvd_dvd( int, X, plus_plus( int,
% 0.86/1.36 T, U ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, power_power( X, Y, T ),
% 0.86/1.36 power_power( X, Z, T ) ), ! ord_less_eq( X, zero_zero( X ), Z ), ord_less
% 0.86/1.36 ( X, Y, Z ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less_eq( nat, Y, Z ), ! ord_less_eq( X,
% 0.86/1.36 zero_zero( X ), T ), ! ord_less_eq( X, T, one_one( X ) ), ord_less_eq( X
% 0.86/1.36 , power_power( X, T, Z ), power_power( X, T, Y ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( nat, Y, Z ), ! ord_less( X,
% 0.86/1.36 zero_zero( X ), T ), ! ord_less( X, T, one_one( X ) ), ord_less( X,
% 0.86/1.36 power_power( X, T, Z ), power_power( X, T, Y ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less( X, plus_plus( X, Y, Y ), zero_zero( X
% 0.86/1.36 ) ), ord_less( X, Y, zero_zero( X ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less( X, Y, zero_zero( X ) ), ord_less( X,
% 0.86/1.36 plus_plus( X, Y, Y ), zero_zero( X ) ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! plus_plus( X, times_times( X, Y, Y ),
% 0.86/1.36 times_times( X, Z, Z ) ) = zero_zero( X ), ti( X, Y ) = zero_zero( X ) }
% 0.86/1.36 .
% 0.86/1.36 { ! linord581940658strict( X ), ! plus_plus( X, times_times( X, Y, Y ),
% 0.86/1.36 times_times( X, Z, Z ) ) = zero_zero( X ), ti( X, Z ) = zero_zero( X ) }
% 0.86/1.36 .
% 0.86/1.36 { ! linord581940658strict( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z )
% 0.86/1.36 = zero_zero( X ), plus_plus( X, times_times( X, Y, Y ), times_times( X,
% 0.86/1.36 Z, Z ) ) = zero_zero( X ) }.
% 0.86/1.36 { ! semiri456707255roduct( X ), ti( X, Y ) = zero_zero( X ), ! ti( X, U ) =
% 0.86/1.36 ti( X, W ), ti( X, Z ) = ti( X, T ), ! plus_plus( X, U, times_times( X,
% 0.86/1.36 Y, Z ) ) = plus_plus( X, W, times_times( X, Y, T ) ) }.
% 0.86/1.36 { ! zprime( X ), ! dvd_dvd( int, X, power_power( int, Y, Z ) ), dvd_dvd(
% 0.86/1.36 int, X, Y ) }.
% 0.86/1.36 { ! number_ring( X ), zero_zero( X ) = number_number_of( X, pls ) }.
% 0.86/1.36 { ! number_ring( X ), number_number_of( X, pls ) = zero_zero( X ) }.
% 0.86/1.36 { ! number_semiring( X ), number_number_of( X, pls ) = zero_zero( X ) }.
% 0.86/1.36 { ! ord_less( int, bit1( X ), zero_zero( int ) ), ord_less( int, X,
% 0.86/1.36 zero_zero( int ) ) }.
% 0.86/1.36 { ! ord_less( int, X, zero_zero( int ) ), ord_less( int, bit1( X ),
% 0.86/1.36 zero_zero( int ) ) }.
% 0.86/1.36 { ! ord_less( int, pls, zero_zero( int ) ) }.
% 0.86/1.36 { ! ord_less( int, bit0( X ), zero_zero( int ) ), ord_less( int, X,
% 0.86/1.36 zero_zero( int ) ) }.
% 0.86/1.36 { ! ord_less( int, X, zero_zero( int ) ), ord_less( int, bit0( X ),
% 0.86/1.36 zero_zero( int ) ) }.
% 0.86/1.36 { zero_zero( int ) = number_number_of( int, pls ) }.
% 0.86/1.36 { ord_less( int, zero_zero( int ), one_one( int ) ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, zero_zero( int )
% 0.86/1.36 , times_times( int, X, Y ) ), ord_less( int, zero_zero( int ), Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ! ord_less( int, zero_zero( int ), Z ), ord_less
% 0.86/1.36 ( int, times_times( int, Z, X ), times_times( int, Z, Y ) ) }.
% 0.86/1.36 { ! plus_plus( int, plus_plus( int, one_one( int ), X ), X ) = zero_zero(
% 0.86/1.36 int ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, zero_zero( X ), Y ), ! ord_less
% 0.86/1.36 ( X, Y, one_one( X ) ), ord_less( X, times_times( X, Y, power_power( X, Y
% 0.86/1.36 , Z ) ), power_power( X, Y, Z ) ) }.
% 0.86/1.36 { ! zprime( X ), dvd_dvd( int, X, Y ), ! dvd_dvd( int, power_power( int, X
% 0.86/1.36 , Z ), times_times( int, Y, T ) ), dvd_dvd( int, power_power( int, X, Z )
% 0.86/1.36 , T ) }.
% 0.86/1.36 { ! zprime( X ), dvd_dvd( int, X, Y ), ! dvd_dvd( int, power_power( int, X
% 0.86/1.36 , Z ), times_times( int, T, Y ) ), dvd_dvd( int, power_power( int, X, Z )
% 0.86/1.36 , T ) }.
% 0.86/1.36 { ! linordered_ring( X ), ord_less_eq( X, zero_zero( X ), plus_plus( X,
% 0.86/1.36 times_times( X, Y, Y ), times_times( X, Z, Z ) ) ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! ord_less_eq( X, plus_plus( X, times_times
% 0.86/1.36 ( X, Y, Y ), times_times( X, Z, Z ) ), zero_zero( X ) ), ti( X, Y ) =
% 0.86/1.36 zero_zero( X ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! ord_less_eq( X, plus_plus( X, times_times
% 0.86/1.36 ( X, Y, Y ), times_times( X, Z, Z ) ), zero_zero( X ) ), ti( X, Z ) =
% 0.86/1.36 zero_zero( X ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z )
% 0.86/1.36 = zero_zero( X ), ord_less_eq( X, plus_plus( X, times_times( X, Y, Y ),
% 0.86/1.36 times_times( X, Z, Z ) ), zero_zero( X ) ) }.
% 0.86/1.36 { ! ord_less( nat, number_number_of( nat, X ), number_number_of( nat, Y ) )
% 0.86/1.36 , alpha1( X, Y ) }.
% 0.86/1.36 { ! ord_less( nat, number_number_of( nat, X ), number_number_of( nat, Y ) )
% 0.86/1.36 , ord_less( int, X, Y ) }.
% 0.86/1.36 { ! alpha1( X, Y ), ! ord_less( int, X, Y ), ord_less( nat,
% 0.86/1.36 number_number_of( nat, X ), number_number_of( nat, Y ) ) }.
% 0.86/1.36 { ! alpha1( X, Y ), ! ord_less( int, X, Y ), ord_less( int, pls, Y ) }.
% 0.86/1.36 { ord_less( int, X, Y ), alpha1( X, Y ) }.
% 0.86/1.36 { ! ord_less( int, pls, Y ), alpha1( X, Y ) }.
% 0.86/1.36 { ! linordered_ring( X ), ! ord_less( X, plus_plus( X, times_times( X, Y, Y
% 0.86/1.36 ), times_times( X, Z, Z ) ), zero_zero( X ) ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! ord_less( X, zero_zero( X ), plus_plus( X
% 0.86/1.36 , times_times( X, Y, Y ), times_times( X, Z, Z ) ) ), ! ti( X, Y ) =
% 0.86/1.36 zero_zero( X ), ! ti( X, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ti( X, Y ) = zero_zero( X ), ord_less( X,
% 0.86/1.36 zero_zero( X ), plus_plus( X, times_times( X, Y, Y ), times_times( X, Z,
% 0.86/1.36 Z ) ) ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ti( X, Z ) = zero_zero( X ), ord_less( X,
% 0.86/1.36 zero_zero( X ), plus_plus( X, times_times( X, Y, Y ), times_times( X, Z,
% 0.86/1.36 Z ) ) ) }.
% 0.86/1.36 { ! ord_less_eq( nat, number_number_of( nat, X ), number_number_of( nat, Y
% 0.86/1.36 ) ), ord_less_eq( int, X, Y ), ord_less_eq( int, X, pls ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, Y ), ord_less_eq( nat, number_number_of( nat, X )
% 0.86/1.36 , number_number_of( nat, Y ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, pls ), ord_less_eq( nat, number_number_of( nat, X
% 0.86/1.36 ), number_number_of( nat, Y ) ) }.
% 0.86/1.36 { ! number_ring( X ), number_number_of( X, bit0( Y ) ) = plus_plus( X,
% 0.86/1.36 plus_plus( X, zero_zero( X ), number_number_of( X, Y ) ),
% 0.86/1.36 number_number_of( X, Y ) ) }.
% 0.86/1.36 { ! monoid_mult( X ), power_power( X, Y, one_one( nat ) ) = ti( X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( int, one_one( int ), X ), ord_less( int, zero_zero( int )
% 0.86/1.36 , X ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ord_less_eq( int, one_one( int )
% 0.86/1.36 , X ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! times_times( int, X, Y ) =
% 0.86/1.36 one_one( int ), ti( int, X ) = one_one( int ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! times_times( int, X, Y ) =
% 0.86/1.36 one_one( int ), ti( int, Y ) = one_one( int ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ti( int, X ) = one_one( int ),
% 0.86/1.36 ! ti( int, Y ) = one_one( int ), times_times( int, X, Y ) = one_one( int
% 0.86/1.36 ) }.
% 0.86/1.36 { ! ord_less( int, plus_plus( int, plus_plus( int, one_one( int ), X ), X )
% 0.86/1.36 , zero_zero( int ) ), ord_less( int, X, zero_zero( int ) ) }.
% 0.86/1.36 { ! ord_less( int, X, zero_zero( int ) ), ord_less( int, plus_plus( int,
% 0.86/1.36 plus_plus( int, one_one( int ), X ), X ), zero_zero( int ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X, zero_zero( X )
% 0.86/1.36 , number_number_of( X, Y ) ), ord_less( int, pls, Y ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, pls, Y ),
% 0.86/1.36 ord_less( X, zero_zero( X ), number_number_of( X, Y ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( X,
% 0.86/1.36 number_number_of( X, Y ), zero_zero( X ) ), ord_less( int, Y, pls ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less( int, Y, pls ),
% 0.86/1.36 ord_less( X, number_number_of( X, Y ), zero_zero( X ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X, zero_zero(
% 0.86/1.36 X ), number_number_of( X, Y ) ), ord_less_eq( int, pls, Y ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, pls, Y )
% 0.86/1.36 , ord_less_eq( X, zero_zero( X ), number_number_of( X, Y ) ) }.
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( X,
% 0.86/1.36 number_number_of( X, Y ), zero_zero( X ) ), ord_less_eq( int, Y, pls ) }
% 0.86/1.36 .
% 0.86/1.36 { ! number_ring( X ), ! linordered_idom( X ), ! ord_less_eq( int, Y, pls )
% 0.86/1.36 , ord_less_eq( X, number_number_of( X, Y ), zero_zero( X ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ord_less( int, zero_zero( int
% 0.86/1.36 ), plus_plus( int, one_one( int ), X ) ) }.
% 0.86/1.36 { ! semiring_1( X ), power_power( X, zero_zero( X ), number_number_of( nat
% 0.86/1.36 , bit0( bit1( pls ) ) ) ) = zero_zero( X ) }.
% 0.86/1.36 { ! ring_11004092258visors( X ), ! power_power( X, Y, number_number_of( nat
% 0.86/1.36 , bit0( bit1( pls ) ) ) ) = zero_zero( X ), ti( X, Y ) = zero_zero( X ) }
% 0.86/1.36 .
% 0.86/1.36 { ! ring_11004092258visors( X ), ! ti( X, Y ) = zero_zero( X ), power_power
% 0.86/1.36 ( X, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ) = zero_zero( X ) }
% 0.86/1.36 .
% 0.86/1.36 { ! linordered_idom( X ), ord_less_eq( X, zero_zero( X ), power_power( X, Y
% 0.86/1.36 , number_number_of( nat, bit0( bit1( pls ) ) ) ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less_eq( X, power_power( X, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), ! ord_less_eq( X,
% 0.86/1.36 zero_zero( X ), Z ), ord_less_eq( X, Y, Z ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! power_power( X, Y, number_number_of( nat,
% 0.86/1.36 bit0( bit1( pls ) ) ) ) = power_power( X, Z, number_number_of( nat, bit0
% 0.86/1.36 ( bit1( pls ) ) ) ), ! ord_less_eq( X, zero_zero( X ), Y ), ! ord_less_eq
% 0.86/1.36 ( X, zero_zero( X ), Z ), ti( X, Y ) = ti( X, Z ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less( X, power_power( X, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), zero_zero( X ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less( X, zero_zero( X ), power_power( X, Y
% 0.86/1.36 , number_number_of( nat, bit0( bit1( pls ) ) ) ) ), ! ti( X, Y ) =
% 0.86/1.36 zero_zero( X ) }.
% 0.86/1.36 { ! linordered_idom( X ), ti( X, Y ) = zero_zero( X ), ord_less( X,
% 0.86/1.36 zero_zero( X ), power_power( X, Y, number_number_of( nat, bit0( bit1( pls
% 0.86/1.36 ) ) ) ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! plus_plus( X, power_power( X, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ) = zero_zero( X ), ti( X
% 0.86/1.36 , Y ) = zero_zero( X ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! plus_plus( X, power_power( X, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ) = zero_zero( X ), ti( X
% 0.86/1.36 , Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z ) =
% 0.86/1.36 zero_zero( X ), plus_plus( X, power_power( X, Y, number_number_of( nat,
% 0.86/1.36 bit0( bit1( pls ) ) ) ), power_power( X, Z, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) ) = zero_zero( X ) }.
% 0.86/1.36 { ! monoid_mult( X ), times_times( X, power_power( X, Y, Z ), Y ) =
% 0.86/1.36 times_times( X, Y, power_power( X, Y, Z ) ) }.
% 0.86/1.36 { ! comm_monoid_mult( X ), power_power( X, times_times( X, Y, Z ), T ) =
% 0.86/1.36 times_times( X, power_power( X, Y, T ), power_power( X, Z, T ) ) }.
% 0.86/1.36 { ! monoid_mult( X ), power_power( X, Y, plus_plus( nat, Z, T ) ) =
% 0.86/1.36 times_times( X, power_power( X, Y, Z ), power_power( X, Y, T ) ) }.
% 0.86/1.36 { ! monoid_mult( X ), power_power( X, one_one( X ), Y ) = one_one( X ) }.
% 0.86/1.36 { ! monoid_mult( X ), power_power( X, Y, times_times( nat, Z, T ) ) =
% 0.86/1.36 power_power( X, power_power( X, Y, Z ), T ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, power_power( X, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), ! ord_less_eq( X,
% 0.86/1.36 zero_zero( X ), Z ), ord_less( X, Y, Z ) }.
% 0.86/1.36 { ! linordered_idom( X ), ord_less_eq( X, zero_zero( X ), plus_plus( X,
% 0.86/1.36 power_power( X, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.86/1.36 power_power( X, Z, number_number_of( nat, bit0( bit1( pls ) ) ) ) ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less_eq( X, plus_plus( X, power_power( X, Y
% 0.86/1.36 , number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), zero_zero( X ) ), ti( X
% 0.86/1.36 , Y ) = zero_zero( X ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less_eq( X, plus_plus( X, power_power( X, Y
% 0.86/1.36 , number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), zero_zero( X ) ), ti( X
% 0.86/1.36 , Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ti( X, Y ) = zero_zero( X ), ! ti( X, Z ) =
% 0.86/1.36 zero_zero( X ), ord_less_eq( X, plus_plus( X, power_power( X, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), zero_zero( X ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less( X, plus_plus( X, power_power( X, Y,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), power_power( X, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) ), zero_zero( X ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less( X, zero_zero( X ), plus_plus( X,
% 0.86/1.36 power_power( X, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.86/1.36 power_power( X, Z, number_number_of( nat, bit0( bit1( pls ) ) ) ) ) ), !
% 0.86/1.36 ti( X, Y ) = zero_zero( X ), ! ti( X, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! linordered_idom( X ), ti( X, Y ) = zero_zero( X ), ord_less( X,
% 0.86/1.36 zero_zero( X ), plus_plus( X, power_power( X, Y, number_number_of( nat,
% 0.86/1.36 bit0( bit1( pls ) ) ) ), power_power( X, Z, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ti( X, Z ) = zero_zero( X ), ord_less( X,
% 0.86/1.36 zero_zero( X ), plus_plus( X, power_power( X, Y, number_number_of( nat,
% 0.86/1.36 bit0( bit1( pls ) ) ) ), power_power( X, Z, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ord_less_eq( X, zero_zero( X ), power_power( X, Y
% 0.86/1.36 , times_times( nat, number_number_of( nat, bit0( bit1( pls ) ) ), Z ) ) )
% 0.86/1.36 }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less_eq( X, one_one( X ), Y ),
% 0.86/1.36 ord_less_eq( X, one_one( X ), power_power( X, Y, Z ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less_eq( nat, Y, Z ), ! ord_less_eq( X,
% 0.86/1.36 one_one( X ), T ), ord_less_eq( X, power_power( X, T, Y ), power_power( X
% 0.86/1.36 , T, Z ) ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), !
% 0.86/1.36 power_power( X, Y, Z ) = power_power( X, Y, T ), Z = T }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! Z = T,
% 0.86/1.36 power_power( X, Y, Z ) = power_power( X, Y, T ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! ord_less(
% 0.86/1.36 X, power_power( X, Y, Z ), power_power( X, Y, T ) ), ord_less( nat, Z, T
% 0.86/1.36 ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! ord_less(
% 0.86/1.36 nat, Z, T ), ord_less( X, power_power( X, Y, Z ), power_power( X, Y, T )
% 0.86/1.36 ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! ord_less(
% 0.86/1.36 X, power_power( X, Y, Z ), power_power( X, Y, T ) ), ord_less( nat, Z, T
% 0.86/1.36 ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( nat, Y, Z ), ! ord_less( X,
% 0.86/1.36 one_one( X ), T ), ord_less( X, power_power( X, T, Y ), power_power( X, T
% 0.86/1.36 , Z ) ) }.
% 0.86/1.36 { zcong( power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) )
% 0.86/1.36 ), number_number_of( int, min ), plus_plus( int, times_times( int,
% 0.86/1.36 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.86/1.36 ) ) }.
% 0.86/1.36 { zcong( X, zero_zero( int ), Y ), ! zcong( power_power( int, Z,
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), X, Y ), ! dvd_dvd( int, Y
% 0.86/1.36 , Z ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X,
% 0.86/1.36 number_number_of( int, bit0( bit1( pls ) ) ) ), ti( int, X ) = zero_zero
% 0.86/1.36 ( int ), ti( int, X ) = one_one( int ) }.
% 0.86/1.36 { ! linordered_idom( X ), ! ord_less_eq( X, power_power( X, Y, times_times
% 0.86/1.36 ( nat, number_number_of( nat, bit0( bit1( pls ) ) ), Z ) ), zero_zero( X
% 0.86/1.36 ) ), ti( X, Y ) = zero_zero( X ) }.
% 0.86/1.36 { ! zprime( X ), ord_less( int, one_one( int ), X ) }.
% 0.86/1.36 { ! zprime( X ), alpha2( X ) }.
% 0.86/1.36 { ! ord_less( int, one_one( int ), X ), ! alpha2( X ), zprime( X ) }.
% 0.86/1.36 { ! alpha2( X ), ! alpha6( X, Y ), alpha10( X, Y ) }.
% 0.86/1.36 { alpha6( X, skol6( X ) ), alpha2( X ) }.
% 0.86/1.36 { ! alpha10( X, skol6( X ) ), alpha2( X ) }.
% 0.86/1.36 { ! alpha10( X, Y ), ti( int, Y ) = one_one( int ), ti( int, Y ) = ti( int
% 0.86/1.36 , X ) }.
% 0.86/1.36 { ! ti( int, Y ) = one_one( int ), alpha10( X, Y ) }.
% 0.86/1.36 { ! ti( int, Y ) = ti( int, X ), alpha10( X, Y ) }.
% 0.86/1.36 { ! alpha6( X, Y ), ord_less_eq( int, zero_zero( int ), Y ) }.
% 0.86/1.36 { ! alpha6( X, Y ), dvd_dvd( int, Y, X ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), Y ), ! dvd_dvd( int, Y, X ), alpha6
% 0.86/1.36 ( X, Y ) }.
% 0.86/1.36 { zcong( power_power( int, skol7, number_number_of( nat, bit0( bit1( pls )
% 0.86/1.36 ) ) ), number_number_of( int, min ), plus_plus( int, times_times( int,
% 0.86/1.36 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int )
% 0.86/1.36 ) ) }.
% 0.86/1.36 { legendre( number_number_of( int, min ), plus_plus( int, times_times( int
% 0.86/1.36 , number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int
% 0.86/1.36 ) ) ) = one_one( int ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), power_power( nat, X, Y ) ), ord_less(
% 0.86/1.36 nat, zero_zero( nat ), X ), Y = zero_zero( nat ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), X ), ord_less( nat, zero_zero( nat ),
% 0.86/1.36 power_power( nat, X, Y ) ) }.
% 0.86/1.36 { ! Y = zero_zero( nat ), ord_less( nat, zero_zero( nat ), power_power( nat
% 0.86/1.36 , X, Y ) ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), power_power( nat, X, Y ) ), Y =
% 0.86/1.36 zero_zero( nat ), ord_less( nat, zero_zero( nat ), X ) }.
% 0.86/1.36 { ! Y = zero_zero( nat ), ord_less( nat, zero_zero( nat ), power_power( nat
% 0.86/1.36 , X, Y ) ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), X ), ord_less( nat, zero_zero( nat ),
% 0.86/1.36 power_power( nat, X, Y ) ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), power_power( nat, X, number_number_of
% 0.86/1.36 ( nat, Y ) ) ), number_number_of( nat, Y ) = zero_zero( nat ), ord_less(
% 0.86/1.36 nat, zero_zero( nat ), X ) }.
% 0.86/1.36 { ! number_number_of( nat, Y ) = zero_zero( nat ), ord_less( nat, zero_zero
% 0.86/1.36 ( nat ), power_power( nat, X, number_number_of( nat, Y ) ) ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), X ), ord_less( nat, zero_zero( nat ),
% 0.86/1.36 power_power( nat, X, number_number_of( nat, Y ) ) ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), X ), ! ord_less( nat, power_power( nat
% 0.86/1.36 , X, Y ), power_power( nat, X, Z ) ), ord_less( nat, Y, Z ) }.
% 0.86/1.36 { ! bit1( X ) = min, ti( int, X ) = min }.
% 0.86/1.36 { ! ti( int, X ) = min, bit1( X ) = min }.
% 0.86/1.36 { ! min = bit1( X ), min = ti( int, X ) }.
% 0.86/1.36 { ! min = ti( int, X ), min = bit1( X ) }.
% 0.86/1.36 { bit1( min ) = min }.
% 0.86/1.36 { ! pls = min }.
% 0.86/1.36 { ! min = pls }.
% 0.86/1.36 { ! bit0( X ) = min }.
% 0.86/1.36 { ! min = bit0( X ) }.
% 0.86/1.36 { ! ord_less( int, min, min ) }.
% 0.86/1.36 { ord_less_eq( int, min, min ) }.
% 0.86/1.36 { ord_less( real, zero_zero( real ), times_times( real, X, X ) ), X =
% 0.86/1.36 zero_zero( real ) }.
% 0.86/1.36 { ! X = zero_zero( real ), ! ord_less( real, zero_zero( real ), times_times
% 0.86/1.36 ( real, X, X ) ) }.
% 0.86/1.36 { ! ord_less( int, bit1( X ), min ), ord_less( int, X, min ) }.
% 0.86/1.36 { ! ord_less( int, X, min ), ord_less( int, bit1( X ), min ) }.
% 0.86/1.36 { ! ord_less( int, min, bit1( X ) ), ord_less( int, min, X ) }.
% 0.86/1.36 { ! ord_less( int, min, X ), ord_less( int, min, bit1( X ) ) }.
% 0.86/1.36 { ! ord_less( int, pls, min ) }.
% 0.86/1.36 { ord_less( int, min, pls ) }.
% 0.86/1.36 { ! ord_less( int, min, bit0( X ) ), ord_less( int, min, X ) }.
% 0.86/1.36 { ! ord_less( int, min, X ), ord_less( int, min, bit0( X ) ) }.
% 0.86/1.36 { ord_less( int, min, zero_zero( int ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit1( X ), min ), ord_less_eq( int, X, min ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, min ), ord_less_eq( int, bit1( X ), min ) }.
% 0.86/1.36 { ! ord_less_eq( int, min, bit1( X ) ), ord_less_eq( int, min, X ) }.
% 0.86/1.36 { ! ord_less_eq( int, min, X ), ord_less_eq( int, min, bit1( X ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, pls, min ) }.
% 0.86/1.36 { ord_less_eq( int, min, pls ) }.
% 0.86/1.36 { ! ord_less_eq( int, bit0( X ), min ), ord_less_eq( int, X, min ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, min ), ord_less_eq( int, bit0( X ), min ) }.
% 0.86/1.36 { ! number_number_of( int, pls ) = number_number_of( int, min ) }.
% 0.86/1.36 { ! dvd_dvd( nat, power_power( nat, X, Y ), power_power( nat, X, Z ) ), !
% 0.86/1.36 ord_less( nat, one_one( nat ), X ), ord_less_eq( nat, Y, Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), power_power( X, Y, zero_zero( nat ) ) = one_one(
% 0.86/1.36 X ) }.
% 0.86/1.36 { ! power( X ), power_power( X, Y, zero_zero( nat ) ) = one_one( X ) }.
% 0.86/1.36 { number_number_of( nat, pls ) = zero_zero( nat ) }.
% 0.86/1.36 { zero_zero( nat ) = number_number_of( nat, pls ) }.
% 0.86/1.36 { ! ord_less_eq( int, min, bit0( X ) ), ord_less( int, min, X ) }.
% 0.86/1.36 { ! ord_less( int, min, X ), ord_less_eq( int, min, bit0( X ) ) }.
% 0.86/1.36 { ! ord_less( int, bit0( X ), min ), ord_less_eq( int, X, min ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, min ), ord_less( int, bit0( X ), min ) }.
% 0.86/1.36 { ! times_times( int, X, Y ) = one_one( int ), ti( int, X ) = one_one( int
% 0.86/1.36 ), ti( int, X ) = number_number_of( int, min ) }.
% 0.86/1.36 { ! times_times( int, X, Y ) = one_one( int ), alpha3( X, Y ), alpha7( X, Y
% 0.86/1.36 ) }.
% 0.86/1.36 { ! alpha3( X, Y ), times_times( int, X, Y ) = one_one( int ) }.
% 0.86/1.36 { ! alpha7( X, Y ), times_times( int, X, Y ) = one_one( int ) }.
% 0.86/1.36 { ! alpha7( X, Y ), ti( int, X ) = number_number_of( int, min ) }.
% 0.86/1.36 { ! alpha7( X, Y ), ti( int, Y ) = number_number_of( int, min ) }.
% 0.86/1.36 { ! ti( int, X ) = number_number_of( int, min ), ! ti( int, Y ) =
% 0.86/1.36 number_number_of( int, min ), alpha7( X, Y ) }.
% 0.86/1.36 { ! alpha3( X, Y ), ti( int, X ) = one_one( int ) }.
% 0.86/1.36 { ! alpha3( X, Y ), ti( int, Y ) = one_one( int ) }.
% 0.86/1.36 { ! ti( int, X ) = one_one( int ), ! ti( int, Y ) = one_one( int ), alpha3
% 0.86/1.36 ( X, Y ) }.
% 0.86/1.36 { ! linordered_semidom( X ), ! ord_less( X, one_one( X ), Y ), ! ord_less(
% 0.86/1.36 nat, zero_zero( nat ), Z ), ord_less( X, one_one( X ), power_power( X, Y
% 0.86/1.36 , Z ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! ord_less( nat, zero_zero( nat ), Z ), dvd_dvd(
% 0.86/1.36 X, Y, power_power( X, Y, Z ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! ti( X, Y ) = one_one( X ), dvd_dvd( X, Y,
% 0.86/1.36 power_power( X, Y, Z ) ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), number_number_of( nat, X ) ), ord_less
% 0.86/1.36 ( int, pls, X ) }.
% 0.86/1.36 { ! ord_less( int, pls, X ), ord_less( nat, zero_zero( nat ),
% 0.86/1.36 number_number_of( nat, X ) ) }.
% 0.86/1.36 { ! number_number_of( nat, X ) = zero_zero( nat ), ord_less_eq( int, X, pls
% 0.86/1.36 ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, pls ), number_number_of( nat, X ) = zero_zero( nat
% 0.86/1.36 ) }.
% 0.86/1.36 { ! zero_zero( nat ) = number_number_of( nat, X ), ord_less_eq( int, X, pls
% 0.86/1.36 ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, pls ), zero_zero( nat ) = number_number_of( nat, X
% 0.86/1.36 ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), zcong( Y, X, Z ) }.
% 0.86/1.36 { ! zcong( Y, X, Z ), zcong( X, Y, Z ) }.
% 0.86/1.36 { zcong( X, X, Y ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! zcong( Y, T, Z ), zcong( X, T, Z ) }.
% 0.86/1.36 { ord_less( nat, zero_zero( nat ), number_number_of( nat, bit0( bit1( pls )
% 0.86/1.36 ) ) ) }.
% 0.86/1.36 { ! ord_less( int, Z, pls ), times_times( nat, number_number_of( nat, Z ),
% 0.86/1.36 times_times( nat, number_number_of( nat, X ), Y ) ) = zero_zero( nat ) }
% 0.86/1.36 .
% 0.86/1.36 { ord_less( int, Z, pls ), times_times( nat, number_number_of( nat, Z ),
% 0.86/1.36 times_times( nat, number_number_of( nat, X ), Y ) ) = times_times( nat,
% 0.86/1.36 number_number_of( nat, times_times( int, Z, X ) ), Y ) }.
% 0.86/1.36 { ! ord_less( int, Y, pls ), times_times( nat, number_number_of( nat, Y ),
% 0.86/1.36 number_number_of( nat, X ) ) = zero_zero( nat ) }.
% 0.86/1.36 { ord_less( int, Y, pls ), times_times( nat, number_number_of( nat, Y ),
% 0.86/1.36 number_number_of( nat, X ) ) = number_number_of( nat, times_times( int, Y
% 0.86/1.36 , X ) ) }.
% 0.86/1.36 { ! order( X ), ! ord_less_eq( X, Y, Z ), ti( X, Y ) = ti( X, Z ), ord_less
% 0.86/1.36 ( X, Y, Z ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ! ord_less( int, Z, Y ), ord_less_eq( int, X, Z
% 0.86/1.36 ), ord_less_eq( int, Z, X ) }.
% 0.86/1.36 { ! zcong( X, Y, zero_zero( int ) ), ti( int, X ) = ti( int, Y ) }.
% 0.86/1.36 { ! ti( int, X ) = ti( int, Y ), zcong( X, Y, zero_zero( int ) ) }.
% 0.86/1.36 { zcong( X, Y, one_one( int ) ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( times_times( int, X, T ),
% 0.86/1.36 times_times( int, Y, U ), Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), zcong( times_times( int, T, X ), times_times( int, T
% 0.86/1.36 , Y ), Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), zcong( times_times( int, X, T ), times_times( int, Y
% 0.86/1.36 , T ), Z ) }.
% 0.86/1.36 { zcong( times_times( int, X, Y ), times_times( int, Z, Y ), Y ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( plus_plus( int, X, T ),
% 0.86/1.36 plus_plus( int, Y, U ), Z ) }.
% 0.86/1.36 { ! number_ring( X ), power_power( X, number_number_of( X, min ),
% 0.86/1.36 times_times( nat, number_number_of( nat, bit0( bit1( pls ) ) ), Y ) ) =
% 0.86/1.36 one_one( X ) }.
% 0.86/1.36 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.86/1.36 X ), ! power_power( X, Y, number_number_of( nat, Z ) ) = zero_zero( X ),
% 0.86/1.36 ti( X, Y ) = zero_zero( X ) }.
% 0.86/1.36 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.86/1.36 X ), ! power_power( X, Y, number_number_of( nat, Z ) ) = zero_zero( X ),
% 0.86/1.36 ! number_number_of( nat, Z ) = zero_zero( nat ) }.
% 0.86/1.36 { ! power( X ), ! mult_zero( X ), ! no_zero_divisors( X ), ! zero_neq_one(
% 0.86/1.36 X ), ! ti( X, Y ) = zero_zero( X ), number_number_of( nat, Z ) =
% 0.86/1.36 zero_zero( nat ), power_power( X, Y, number_number_of( nat, Z ) ) =
% 0.86/1.36 zero_zero( X ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.86/1.36 ord_less( int, zero_zero( int ), Z ), ! ord_less( int, Z, X ), ! zcong( X
% 0.86/1.36 , Z, Y ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ti( int, Y ) = plus_plus( int, X, times_times( int, Z
% 0.86/1.36 , skol8( X, Y, Z ) ) ) }.
% 0.86/1.36 { ! ti( int, Y ) = plus_plus( int, X, times_times( int, Z, T ) ), zcong( X
% 0.86/1.36 , Y, Z ) }.
% 0.86/1.36 { ! power( X ), ! semiring_0( X ), ! number_number_of( nat, Y ) = zero_zero
% 0.86/1.36 ( nat ), power_power( X, zero_zero( X ), number_number_of( nat, Y ) ) =
% 0.86/1.36 one_one( X ) }.
% 0.86/1.36 { ! power( X ), ! semiring_0( X ), number_number_of( nat, Y ) = zero_zero(
% 0.86/1.36 nat ), power_power( X, zero_zero( X ), number_number_of( nat, Y ) ) =
% 0.86/1.36 zero_zero( X ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.86/1.36 ord_less_eq( int, zero_zero( int ), Z ), ! ord_less( int, Z, Y ), ! zcong
% 0.86/1.36 ( X, Z, Y ), ti( int, X ) = ti( int, Z ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.86/1.36 zcong( X, zero_zero( int ), Y ), ti( int, X ) = zero_zero( int ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! zprime( Y ), ! dvd_dvd( int
% 0.86/1.36 , Y, times_times( int, X, Z ) ), dvd_dvd( int, Y, X ), dvd_dvd( int, Y, Z
% 0.86/1.36 ) }.
% 0.86/1.36 { quadRes( plus_plus( int, times_times( int, number_number_of( int, bit0(
% 0.86/1.36 bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), number_number_of( int,
% 0.86/1.36 min ) ) }.
% 0.86/1.36 { dvd_dvd( int, plus_plus( int, times_times( int, number_number_of( int,
% 0.86/1.36 bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), minus_minus( int,
% 0.86/1.36 power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.86/1.36 number_number_of( int, min ) ) ) }.
% 0.86/1.36 { ! ord_less( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), !
% 0.86/1.36 zcong( power_power( int, number_number_of( int, min ), Y ), power_power(
% 0.86/1.36 int, number_number_of( int, min ), Z ), X ), power_power( int,
% 0.86/1.36 number_number_of( int, min ), Y ) = power_power( int, number_number_of(
% 0.86/1.36 int, min ), Z ) }.
% 0.86/1.36 { minus_minus( int, power_power( int, s, number_number_of( nat, bit0( bit1
% 0.86/1.36 ( pls ) ) ) ), number_number_of( int, min ) ) = plus_plus( int,
% 0.86/1.36 power_power( int, s, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.86/1.36 one_one( int ) ) }.
% 0.86/1.36 { quadRes( plus_plus( int, times_times( int, number_number_of( int, bit0(
% 0.86/1.36 bit0( bit1( pls ) ) ) ), m ), one_one( int ) ), number_number_of( int,
% 0.86/1.36 min ) ), ! legendre( number_number_of( int, min ), plus_plus( int,
% 0.86/1.36 times_times( int, number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), m
% 0.86/1.36 ), one_one( int ) ) ) = one_one( int ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! zcong( T, U, Z ), zcong( minus_minus( int, X, T ),
% 0.86/1.36 minus_minus( int, Y, U ), Z ) }.
% 0.86/1.36 { minus_minus( int, X, pls ) = ti( int, X ) }.
% 0.86/1.36 { minus_minus( int, bit0( X ), bit0( Y ) ) = bit0( minus_minus( int, X, Y )
% 0.86/1.36 ) }.
% 0.86/1.36 { times_times( int, minus_minus( int, X, Y ), Z ) = minus_minus( int,
% 0.86/1.36 times_times( int, X, Z ), times_times( int, Y, Z ) ) }.
% 0.86/1.36 { times_times( int, X, minus_minus( int, Y, Z ) ) = minus_minus( int,
% 0.86/1.36 times_times( int, X, Y ), times_times( int, X, Z ) ) }.
% 0.86/1.36 { ! dvd_dvd( int, X, minus_minus( int, Y, Z ) ), ! dvd_dvd( int, X, Z ),
% 0.86/1.36 dvd_dvd( int, X, Y ) }.
% 0.86/1.36 { ! number_ring( X ), number_number_of( X, minus_minus( int, Y, Z ) ) =
% 0.86/1.36 minus_minus( X, number_number_of( X, Y ), number_number_of( X, Z ) ) }.
% 0.86/1.36 { ! number( X ), ! ring( X ), times_times( X, number_number_of( X, Y ),
% 0.86/1.36 minus_minus( X, Z, T ) ) = minus_minus( X, times_times( X,
% 0.86/1.36 number_number_of( X, Y ), Z ), times_times( X, number_number_of( X, Y ),
% 0.86/1.36 T ) ) }.
% 0.86/1.36 { ! number( X ), ! ring( X ), times_times( X, minus_minus( X, Y, Z ),
% 0.86/1.36 number_number_of( X, T ) ) = minus_minus( X, times_times( X, Y,
% 0.86/1.36 number_number_of( X, T ) ), times_times( X, Z, number_number_of( X, T ) )
% 0.86/1.36 ) }.
% 0.86/1.36 { minus_minus( int, bit1( X ), bit0( Y ) ) = bit1( minus_minus( int, X, Y )
% 0.86/1.36 ) }.
% 0.86/1.36 { minus_minus( int, bit1( X ), bit1( Y ) ) = bit0( minus_minus( int, X, Y )
% 0.86/1.36 ) }.
% 0.86/1.36 { minus_minus( int, pls, bit0( X ) ) = bit0( minus_minus( int, pls, X ) ) }
% 0.86/1.36 .
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less( int, minus_minus( int, X, Y ),
% 0.86/1.36 zero_zero( int ) ) }.
% 0.86/1.36 { ! ord_less( int, minus_minus( int, X, Y ), zero_zero( int ) ), ord_less(
% 0.86/1.36 int, X, Y ) }.
% 0.86/1.36 { plus_plus( int, times_times( int, minus_minus( int, X, times_times( int,
% 0.86/1.36 Y, Z ) ), T ), times_times( int, minus_minus( int, U, times_times( int, Y
% 0.86/1.36 , W ) ), V0 ) ) = minus_minus( int, plus_plus( int, times_times( int, X,
% 0.86/1.36 T ), times_times( int, U, V0 ) ), times_times( int, Y, plus_plus( int,
% 0.86/1.36 times_times( int, Z, T ), times_times( int, W, V0 ) ) ) ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), dvd_dvd( int, Z, minus_minus( int, X, Y ) ) }.
% 0.86/1.36 { ! dvd_dvd( int, Z, minus_minus( int, X, Y ) ), zcong( X, Y, Z ) }.
% 0.86/1.36 { ! number_ring( X ), plus_plus( X, number_number_of( X, Y ), minus_minus(
% 0.86/1.36 X, number_number_of( X, Z ), T ) ) = minus_minus( X, number_number_of( X
% 0.86/1.36 , plus_plus( int, Y, Z ) ), T ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), ti( int
% 0.86/1.36 , X ) = minus_minus( int, Y, one_one( int ) ), ord_less( int, X,
% 0.86/1.36 minus_minus( int, Y, one_one( int ) ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, X, minus_minus( int, Y, one_one( int ) ) ), ord_less
% 0.86/1.36 ( int, X, Y ) }.
% 0.86/1.36 { ! ord_less( int, X, Y ), ord_less_eq( int, X, minus_minus( int, Y,
% 0.86/1.36 one_one( int ) ) ) }.
% 0.86/1.36 { minus_minus( int, pls, bit1( X ) ) = bit1( minus_minus( int, min, X ) ) }
% 0.86/1.36 .
% 0.86/1.36 { minus_minus( int, min, bit1( X ) ) = bit0( minus_minus( int, min, X ) ) }
% 0.86/1.36 .
% 0.86/1.36 { minus_minus( int, min, bit0( X ) ) = bit1( minus_minus( int, min, X ) ) }
% 0.86/1.36 .
% 0.86/1.36 { ! zcong( times_times( int, X, minus_minus( int, Y, one_one( int ) ) ),
% 0.86/1.36 one_one( int ), Y ), zcong( X, minus_minus( int, Y, one_one( int ) ), Y )
% 0.86/1.36 }.
% 0.86/1.36 { ! zcong( X, minus_minus( int, Y, one_one( int ) ), Y ), zcong(
% 0.86/1.36 times_times( int, X, minus_minus( int, Y, one_one( int ) ) ), one_one(
% 0.86/1.36 int ), Y ) }.
% 0.86/1.36 { times_times( int, twoSqu579703163sum2sq( product_Pair( int, int, X, Y ) )
% 0.86/1.36 , twoSqu579703163sum2sq( product_Pair( int, int, Z, T ) ) ) =
% 0.86/1.36 twoSqu579703163sum2sq( product_Pair( int, int, plus_plus( int,
% 0.86/1.36 times_times( int, X, Z ), times_times( int, Y, T ) ), minus_minus( int,
% 0.86/1.36 times_times( int, X, T ), times_times( int, Y, Z ) ) ) ) }.
% 0.86/1.36 { ! zprime( X ), ! ord_less( int, zero_zero( int ), Y ), ! zcong(
% 0.86/1.36 times_times( int, Y, Y ), one_one( int ), X ), zcong( Y, one_one( int ),
% 0.86/1.36 X ), zcong( Y, minus_minus( int, X, one_one( int ) ), X ) }.
% 0.86/1.36 { ! zprime( X ), ! ord_less( int, zero_zero( int ), Y ), ! ord_less( int, Y
% 0.86/1.36 , X ), ! zcong( times_times( int, Y, Y ), one_one( int ), X ), ti( int, Y
% 0.86/1.36 ) = one_one( int ), ti( int, Y ) = minus_minus( int, X, one_one( int ) )
% 0.86/1.36 }.
% 0.86/1.36 { times_times( int, plus_plus( int, X, Y ), minus_minus( int, X, Y ) ) =
% 0.86/1.36 minus_minus( int, power_power( int, X, number_number_of( nat, bit0( bit1
% 0.86/1.36 ( pls ) ) ) ), power_power( int, Y, number_number_of( nat, bit0( bit1(
% 0.86/1.36 pls ) ) ) ) ) }.
% 0.86/1.36 { ! number_ring( X ), power_power( X, minus_minus( X, Y, Z ),
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ) = minus_minus( X,
% 0.86/1.36 plus_plus( X, power_power( X, Y, number_number_of( nat, bit0( bit1( pls )
% 0.86/1.36 ) ) ), power_power( X, Z, number_number_of( nat, bit0( bit1( pls ) ) ) )
% 0.86/1.36 ), times_times( X, times_times( X, number_number_of( X, bit0( bit1( pls
% 0.86/1.36 ) ) ), Y ), Z ) ) }.
% 0.86/1.36 { power_power( int, minus_minus( int, X, Y ), number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) = plus_plus( int, minus_minus( int, power_power( int, X
% 0.86/1.36 , number_number_of( nat, bit0( bit1( pls ) ) ) ), times_times( int,
% 0.86/1.36 times_times( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), Y )
% 0.86/1.36 ), power_power( int, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ) )
% 0.86/1.36 }.
% 0.86/1.36 { power_power( int, minus_minus( int, X, Y ), number_number_of( nat, bit1(
% 0.86/1.36 bit1( pls ) ) ) ) = minus_minus( int, plus_plus( int, minus_minus( int,
% 0.86/1.36 power_power( int, X, number_number_of( nat, bit1( bit1( pls ) ) ) ),
% 0.86/1.36 times_times( int, times_times( int, number_number_of( int, bit1( bit1(
% 0.86/1.36 pls ) ) ), power_power( int, X, number_number_of( nat, bit0( bit1( pls )
% 0.86/1.36 ) ) ) ), Y ) ), times_times( int, times_times( int, number_number_of(
% 0.86/1.36 int, bit1( bit1( pls ) ) ), X ), power_power( int, Y, number_number_of(
% 0.86/1.36 nat, bit0( bit1( pls ) ) ) ) ) ), power_power( int, Y, number_number_of(
% 0.86/1.36 nat, bit1( bit1( pls ) ) ) ) ) }.
% 0.86/1.36 { power_power( int, number_number_of( int, min ), X ) = one_one( int ),
% 0.86/1.36 power_power( int, number_number_of( int, min ), X ) = number_number_of(
% 0.86/1.36 int, min ) }.
% 0.86/1.36 { ! zprime( plus_plus( int, times_times( int, number_number_of( int, bit0(
% 0.86/1.36 bit0( bit1( pls ) ) ) ), X ), one_one( int ) ) ), legendre(
% 0.86/1.36 number_number_of( int, min ), plus_plus( int, times_times( int,
% 0.86/1.36 number_number_of( int, bit0( bit0( bit1( pls ) ) ) ), X ), one_one( int )
% 0.86/1.36 ) ) = one_one( int ) }.
% 0.86/1.36 { ! ord_less( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), !
% 0.86/1.36 zcong( one_one( int ), number_number_of( int, min ), X ) }.
% 0.86/1.36 { ! ord_less( int, number_number_of( int, bit0( bit1( pls ) ) ), X ), !
% 0.86/1.36 zcong( Y, number_number_of( int, min ), X ), ! zcong( Y, one_one( int ),
% 0.86/1.36 X ) }.
% 0.86/1.36 { ! zcong( X, zero_zero( int ), Y ), legendre( X, Y ) = zero_zero( int ) }
% 0.86/1.36 .
% 0.86/1.36 { zcong( X, zero_zero( int ), Y ), ! quadRes( Y, X ), legendre( X, Y ) =
% 0.86/1.36 one_one( int ) }.
% 0.86/1.36 { zcong( X, zero_zero( int ), Y ), quadRes( Y, X ), legendre( X, Y ) =
% 0.86/1.36 number_number_of( int, min ) }.
% 0.86/1.36 { ! dvd_dvd( nat, X, Y ), Y = zero_zero( nat ), Y = X, ord_less_eq( nat,
% 0.86/1.36 times_times( nat, number_number_of( nat, bit0( bit1( pls ) ) ), X ), Y )
% 0.86/1.36 }.
% 0.86/1.36 { ! dvd_dvd( nat, X, Y ), ! dvd_dvd( nat, Y, X ), X = Y }.
% 0.86/1.36 { ! X = Y, dvd_dvd( nat, X, Y ) }.
% 0.86/1.36 { ! X = Y, dvd_dvd( nat, Y, X ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! ti( int, Y ) = ti( int, T ), ! zcong( T, U, Z ),
% 0.86/1.36 zcong( X, U, Z ) }.
% 0.86/1.36 { ! Y = zero_zero( nat ), times_times( nat, Y, X ) = zero_zero( nat ) }.
% 0.86/1.36 { Y = zero_zero( nat ), times_times( nat, Y, X ) = plus_plus( nat, X,
% 0.86/1.36 times_times( nat, minus_minus( nat, Y, one_one( nat ) ), X ) ) }.
% 0.86/1.36 { ! Y = zero_zero( nat ), power_power( nat, X, Y ) = one_one( nat ) }.
% 0.86/1.36 { Y = zero_zero( nat ), power_power( nat, X, Y ) = times_times( nat, X,
% 0.86/1.36 power_power( nat, X, minus_minus( nat, Y, one_one( nat ) ) ) ) }.
% 0.86/1.36 { minus_minus( nat, power_power( nat, X, number_number_of( nat, bit0( bit1
% 0.86/1.36 ( pls ) ) ) ), power_power( nat, Y, number_number_of( nat, bit0( bit1(
% 0.86/1.36 pls ) ) ) ) ) = times_times( nat, plus_plus( nat, X, Y ), minus_minus(
% 0.86/1.36 nat, X, Y ) ) }.
% 0.86/1.36 { ! dvd_dvd( nat, X, Y ), ! dvd_dvd( nat, X, plus_plus( nat, Y, Z ) ),
% 0.86/1.36 dvd_dvd( nat, X, Z ) }.
% 0.86/1.36 { ! dvd_dvd( nat, X, Y ), dvd_dvd( nat, times_times( nat, Z, X ),
% 0.86/1.36 times_times( nat, Z, Y ) ) }.
% 0.86/1.36 { ! dvd_dvd( nat, X, Y ), dvd_dvd( nat, times_times( nat, X, Z ),
% 0.86/1.36 times_times( nat, Y, Z ) ) }.
% 0.86/1.36 { zcong( X, zero_zero( int ), X ) }.
% 0.86/1.36 { ! times_times( nat, X, Y ) = one_one( nat ), X = one_one( nat ) }.
% 0.86/1.36 { ! times_times( nat, X, Y ) = one_one( nat ), Y = one_one( nat ) }.
% 0.86/1.36 { ! X = one_one( nat ), ! Y = one_one( nat ), times_times( nat, X, Y ) =
% 0.86/1.36 one_one( nat ) }.
% 0.86/1.36 { ! minus_minus( int, X, Y ) = ti( int, Z ), ti( int, X ) = plus_plus( int
% 0.86/1.36 , Z, Y ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! zcong( T, times_times( int, U, X ), Z ), zcong( T,
% 0.86/1.36 times_times( int, U, Y ), Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! zcong( T, times_times( int, U, Y ), Z ), zcong( T,
% 0.86/1.36 times_times( int, U, X ), Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! zcong( T, times_times( int, X, U ), Z ), zcong( T,
% 0.86/1.36 times_times( int, Y, U ), Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), ! zcong( T, times_times( int, Y, U ), Z ), zcong( T,
% 0.86/1.36 times_times( int, X, U ), Z ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), zcong( plus_plus( int, X, T ), plus_plus( int, Y, T )
% 0.86/1.36 , Z ) }.
% 0.86/1.36 { ! power_power( nat, X, Y ) = zero_zero( nat ), ! Y = zero_zero( nat ) }.
% 0.86/1.36 { ! power_power( nat, X, Y ) = zero_zero( nat ), X = zero_zero( nat ) }.
% 0.86/1.36 { Y = zero_zero( nat ), ! X = zero_zero( nat ), power_power( nat, X, Y ) =
% 0.86/1.36 zero_zero( nat ) }.
% 0.86/1.36 { ! dvd_dvd( nat, X, Y ), dvd_dvd( nat, power_power( nat, X, Z ),
% 0.86/1.36 power_power( nat, Y, Z ) ) }.
% 0.86/1.36 { ! zcong( X, Y, Z ), zcong( power_power( int, X, T ), power_power( int, Y
% 0.86/1.36 , T ), Z ) }.
% 0.86/1.36 { ! dvd_dvd( nat, X, Y ), Y = zero_zero( nat ), ord_less_eq( nat, X, Y ) }
% 0.86/1.36 .
% 0.86/1.36 { ! dvd_dvd( nat, times_times( nat, X, Y ), times_times( nat, Z, Y ) ), Y =
% 0.86/1.36 zero_zero( nat ), dvd_dvd( nat, X, Z ) }.
% 0.86/1.36 { ! Y = zero_zero( nat ), dvd_dvd( nat, times_times( nat, X, Y ),
% 0.86/1.36 times_times( nat, Z, Y ) ) }.
% 0.86/1.36 { ! dvd_dvd( nat, X, Z ), dvd_dvd( nat, times_times( nat, X, Y ),
% 0.86/1.36 times_times( nat, Z, Y ) ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), ! zcong
% 0.86/1.36 ( X, zero_zero( int ), Y ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ord_less( int, zero_zero( int )
% 0.86/1.36 , Y ), ! ord_less( int, zero_zero( int ), Z ), ! zcong( X, Y, Z ), !
% 0.86/1.36 ord_less( int, X, Z ), ! ord_less( int, Y, Z ), ti( int, X ) = ti( int, Y
% 0.86/1.36 ) }.
% 0.86/1.36 { ! dvd_dvd( int, X, Y ), ord_less_eq( int, Y, zero_zero( int ) ),
% 0.86/1.36 ord_less_eq( int, X, Y ) }.
% 0.86/1.36 { X = zero_zero( nat ), ! dvd_dvd( nat, power_power( nat, Y, X ), Z ),
% 0.86/1.36 dvd_dvd( nat, Y, Z ) }.
% 0.86/1.36 { ! dvd_dvd( nat, power_power( nat, X, Y ), power_power( nat, Z, Y ) ), Y =
% 0.86/1.36 zero_zero( nat ), dvd_dvd( nat, X, Z ) }.
% 0.86/1.36 { ! zcong( X, zero_zero( int ), Y ), dvd_dvd( int, Y, X ) }.
% 0.86/1.36 { ! dvd_dvd( int, Y, X ), zcong( X, zero_zero( int ), Y ) }.
% 0.86/1.36 { ! zcong( X, zero_zero( int ), Y ), dvd_dvd( int, Y, X ) }.
% 0.86/1.36 { ! dvd_dvd( int, Y, X ), zcong( X, zero_zero( int ), Y ) }.
% 0.86/1.36 { ! power_power( nat, X, Y ) = one_one( nat ), X = one_one( nat ), Y =
% 0.86/1.36 zero_zero( nat ) }.
% 0.86/1.36 { ! X = one_one( nat ), power_power( nat, X, Y ) = one_one( nat ) }.
% 0.86/1.36 { ! Y = zero_zero( nat ), power_power( nat, X, Y ) = one_one( nat ) }.
% 0.86/1.36 { ! zprime( X ), ! dvd_dvd( int, X, times_times( int, Y, Z ) ), dvd_dvd(
% 0.86/1.36 int, X, Y ), dvd_dvd( int, X, Z ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less( int, X, Y ), !
% 0.86/1.36 zcong( X, zero_zero( int ), Y ), ti( int, X ) = zero_zero( int ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), X ), ! dvd_dvd( int, Y, Z ), dvd_dvd(
% 0.86/1.36 int, Y, power_power( int, Z, X ) ) }.
% 0.86/1.36 { ! zprime( X ), zcong( Y, zero_zero( int ), X ), zcong( Z, zero_zero( int
% 0.86/1.36 ), X ), ! zcong( times_times( int, Y, Z ), zero_zero( int ), X ) }.
% 0.86/1.36 { ! X = plus_plus( nat, times_times( nat, T, Y ), Z ), ! ord_less( nat,
% 0.86/1.36 zero_zero( nat ), Z ), ! ord_less( nat, Z, Y ), ! dvd_dvd( nat, Y, X ) }
% 0.86/1.36 .
% 0.86/1.36 { ! zprime( X ), ! ord_less( int, zero_zero( int ), Y ), zcong( Y,
% 0.86/1.36 zero_zero( int ), X ), zcong( Z, zero_zero( int ), X ), ! zcong(
% 0.86/1.36 times_times( int, Y, Z ), zero_zero( int ), X ) }.
% 0.86/1.36 { ! zprime( X ), ! ord_less( int, zero_zero( int ), Y ), ! zcong(
% 0.86/1.36 times_times( int, Y, Z ), zero_zero( int ), X ), zcong( Y, zero_zero( int
% 0.86/1.36 ), X ), zcong( Z, zero_zero( int ), X ) }.
% 0.86/1.36 { ! zprime( X ), ! dvd_dvd( int, X, power_power( int, Y, Z ) ), ! ord_less
% 0.86/1.36 ( nat, zero_zero( nat ), Z ), dvd_dvd( int, X, Y ) }.
% 0.86/1.36 { ! quadRes( X, Y ), zcong( power_power( int, skol9( X, Y ),
% 0.86/1.36 number_number_of( nat, bit0( bit1( pls ) ) ) ), Y, X ) }.
% 0.86/1.36 { ! zcong( power_power( int, Z, number_number_of( nat, bit0( bit1( pls ) )
% 0.86/1.36 ) ), Y, X ), quadRes( X, Y ) }.
% 0.86/1.36 { ! plus_plus( real, power_power( real, X, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ), power_power( real, Y, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) ) = zero_zero( real ), X = zero_zero( real ) }.
% 0.86/1.36 { ! plus_plus( real, power_power( real, X, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ), power_power( real, Y, number_number_of( nat, bit0(
% 0.86/1.36 bit1( pls ) ) ) ) ) = zero_zero( real ), Y = zero_zero( real ) }.
% 0.86/1.36 { ! X = zero_zero( real ), ! Y = zero_zero( real ), plus_plus( real,
% 0.86/1.36 power_power( real, X, number_number_of( nat, bit0( bit1( pls ) ) ) ),
% 0.86/1.36 power_power( real, Y, number_number_of( nat, bit0( bit1( pls ) ) ) ) ) =
% 0.86/1.36 zero_zero( real ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ti( int, X ) = plus_plus( int,
% 0.86/1.36 Y, times_times( int, X, Z ) ), ! ord_less( int, Y, X ), ord_less_eq( int
% 0.86/1.36 , one_one( int ), Z ) }.
% 0.86/1.36 { ! zero_zero( real ) = one_one( real ) }.
% 0.86/1.36 { ! ord_less_eq( real, X, Y ), ord_less_eq( real, minus_minus( real, X, Y )
% 0.86/1.36 , zero_zero( real ) ) }.
% 0.86/1.36 { ! ord_less_eq( real, minus_minus( real, X, Y ), zero_zero( real ) ),
% 0.86/1.36 ord_less_eq( real, X, Y ) }.
% 0.86/1.36 { ! ord_less( real, X, Y ), ord_less_eq( real, X, Y ) }.
% 0.86/1.36 { ! ord_less( real, X, Y ), ! X = Y }.
% 0.86/1.36 { ! ord_less_eq( real, X, Y ), X = Y, ord_less( real, X, Y ) }.
% 0.86/1.36 { ! ord_less_eq( real, X, Y ), ord_less( real, X, Y ), X = Y }.
% 0.86/1.36 { ! ord_less( real, X, Y ), ord_less_eq( real, X, Y ) }.
% 0.86/1.36 { ! X = Y, ord_less_eq( real, X, Y ) }.
% 0.86/1.36 { times_times( real, one_one( real ), X ) = X }.
% 0.86/1.36 { times_times( real, X, Y ) = times_times( real, Y, X ) }.
% 0.86/1.36 { times_times( real, times_times( real, X, Y ), Z ) = times_times( real, X
% 0.86/1.36 , times_times( real, Y, Z ) ) }.
% 0.86/1.36 { ! ord_less_eq( real, X, Y ), ord_less_eq( real, plus_plus( real, Z, X ),
% 0.86/1.36 plus_plus( real, Z, Y ) ) }.
% 0.86/1.36 { ! ab_group_add( X ), minus_minus( X, plus_plus( X, Y, Z ), plus_plus( X,
% 0.86/1.36 T, U ) ) = plus_plus( X, minus_minus( X, Y, T ), minus_minus( X, Z, U ) )
% 0.86/1.36 }.
% 0.86/1.36 { X = zero_zero( real ), ! times_times( real, X, Y ) = times_times( real, X
% 0.86/1.36 , Z ), Y = Z }.
% 0.86/1.36 { X = zero_zero( real ), ! Y = Z, times_times( real, X, Y ) = times_times(
% 0.86/1.36 real, X, Z ) }.
% 0.86/1.36 { X = zero_zero( real ), ! times_times( real, Y, X ) = times_times( real, Z
% 0.86/1.36 , X ), Y = Z }.
% 0.86/1.36 { X = zero_zero( real ), ! Y = Z, times_times( real, Y, X ) = times_times(
% 0.86/1.36 real, Z, X ) }.
% 0.86/1.36 { times_times( real, plus_plus( real, X, Y ), Z ) = plus_plus( real,
% 0.86/1.36 times_times( real, X, Z ), times_times( real, Y, Z ) ) }.
% 0.86/1.36 { ! ring( X ), minus_minus( X, times_times( X, Y, Z ), times_times( X, T, U
% 0.86/1.36 ) ) = plus_plus( X, times_times( X, Y, minus_minus( X, Z, U ) ),
% 0.86/1.36 times_times( X, minus_minus( X, Y, T ), U ) ) }.
% 0.86/1.36 { ! ord_less( real, zero_zero( real ), X ), ! ord_less( real, Y, Z ),
% 0.86/1.36 ord_less( real, times_times( real, X, Y ), times_times( real, X, Z ) ) }
% 0.86/1.36 .
% 0.86/1.36 { ! ord_less( real, zero_zero( real ), X ), ! ord_less( real, zero_zero(
% 0.86/1.36 real ), Y ), ord_less( real, zero_zero( real ), times_times( real, X, Y )
% 0.86/1.36 ) }.
% 0.86/1.36 { ! ord_less( real, zero_zero( real ), X ), ! ord_less_eq( real,
% 0.86/1.36 times_times( real, X, Y ), times_times( real, X, Z ) ), ord_less_eq( real
% 0.86/1.36 , Y, Z ) }.
% 0.86/1.36 { ! ord_less( real, zero_zero( real ), X ), ! ord_less_eq( real, Y, Z ),
% 0.86/1.36 ord_less_eq( real, times_times( real, X, Y ), times_times( real, X, Z ) )
% 0.86/1.36 }.
% 0.86/1.36 { ! ord_less( real, zero_zero( real ), X ), ! ord_less_eq( real,
% 0.86/1.36 times_times( real, Y, X ), times_times( real, Z, X ) ), ord_less_eq( real
% 0.86/1.36 , Y, Z ) }.
% 0.86/1.36 { ! ord_less( real, zero_zero( real ), X ), ! ord_less_eq( real, Y, Z ),
% 0.86/1.36 ord_less_eq( real, times_times( real, Y, X ), times_times( real, Z, X ) )
% 0.86/1.36 }.
% 0.86/1.36 { ! ord_less( real, zero_zero( real ), X ), ! ord_less( real, times_times(
% 0.86/1.36 real, Y, X ), times_times( real, Z, X ) ), ord_less( real, Y, Z ) }.
% 0.86/1.36 { ! ord_less( real, zero_zero( real ), X ), ! ord_less( real, Y, Z ),
% 0.86/1.36 ord_less( real, times_times( real, Y, X ), times_times( real, Z, X ) ) }
% 0.86/1.36 .
% 0.86/1.36 { ! plus_plus( real, times_times( real, X, X ), times_times( real, Y, Y ) )
% 0.86/1.36 = zero_zero( real ), X = zero_zero( real ) }.
% 0.86/1.36 { ! plus_plus( real, times_times( real, X, X ), times_times( real, Y, Y ) )
% 0.86/1.36 = zero_zero( real ), Y = zero_zero( real ) }.
% 0.86/1.36 { ! X = zero_zero( real ), ! Y = zero_zero( real ), plus_plus( real,
% 0.86/1.36 times_times( real, X, X ), times_times( real, Y, Y ) ) = zero_zero( real
% 0.86/1.36 ) }.
% 0.86/1.36 { ! ring_1( X ), minus_minus( X, times_times( X, Y, Y ), one_one( X ) ) =
% 0.86/1.36 times_times( X, plus_plus( X, Y, one_one( X ) ), minus_minus( X, Y,
% 0.86/1.36 one_one( X ) ) ) }.
% 0.86/1.36 { ! monoid_mult( X ), ! ord_less( nat, zero_zero( nat ), Y ), times_times(
% 0.86/1.36 X, power_power( X, Z, minus_minus( nat, Y, one_one( nat ) ) ), Z ) =
% 0.86/1.36 power_power( X, Z, Y ) }.
% 0.86/1.36 { ord_less_eq( real, one_one( real ), power_power( real, number_number_of(
% 0.86/1.36 real, bit0( bit1( pls ) ) ), X ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), plus_plus( int, times_times( int, X
% 0.86/1.36 , Y ), Z ) ), ! ord_less( int, Z, X ), ! ord_less( int, zero_zero( int )
% 0.86/1.36 , X ), ord_less_eq( int, zero_zero( int ), Y ) }.
% 0.86/1.36 { ! ord_less( int, plus_plus( int, times_times( int, X, Y ), Z ), zero_zero
% 0.86/1.36 ( int ) ), ! ord_less_eq( int, zero_zero( int ), Z ), ! ord_less( int,
% 0.86/1.36 zero_zero( int ), X ), ord_less_eq( int, Y, zero_zero( int ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, plus_plus( int, times_times( int, X, Y ), Z ),
% 0.86/1.36 plus_plus( int, times_times( int, X, T ), U ) ), ! ord_less_eq( int,
% 0.86/1.36 zero_zero( int ), Z ), ! ord_less( int, Z, X ), ! ord_less( int, U, X ),
% 0.86/1.36 ord_less_eq( int, Y, T ) }.
% 0.86/1.36 { ! plus_plus( int, times_times( int, X, Y ), Z ) = plus_plus( int,
% 0.86/1.36 times_times( int, T, U ), W ), ! ord_less_eq( int, zero_zero( int ),
% 0.86/1.36 plus_plus( int, times_times( int, T, U ), W ) ), ! ord_less( int, W, T )
% 0.86/1.36 , ! ord_less_eq( int, zero_zero( int ), Z ), ! ord_less( int, zero_zero(
% 0.86/1.36 int ), T ), ! ord_less_eq( int, T, X ), ord_less_eq( int, Y, U ) }.
% 0.86/1.36 { ! ord_less_eq( int, plus_plus( int, times_times( int, X, Y ), Z ),
% 0.86/1.36 plus_plus( int, times_times( int, X, T ), U ) ), ! ord_less_eq( int, U,
% 0.86/1.36 zero_zero( int ) ), ! ord_less( int, X, U ), ! ord_less( int, X, Z ),
% 0.86/1.36 ord_less_eq( int, T, Y ) }.
% 0.86/1.36 { ! plus_plus( int, times_times( int, X, Y ), Z ) = plus_plus( int,
% 0.86/1.36 times_times( int, T, U ), W ), ! ord_less( int, plus_plus( int,
% 0.86/1.36 times_times( int, T, U ), W ), zero_zero( int ) ), ! ord_less( int, Z, X
% 0.86/1.36 ), ! ord_less_eq( int, zero_zero( int ), W ), ! ord_less( int, zero_zero
% 0.86/1.36 ( int ), T ), ! ord_less_eq( int, T, X ), ord_less_eq( int, U, Y ) }.
% 0.86/1.36 { ! ord_less( int, zero_zero( int ), X ), ! ti( int, X ) = plus_plus( int,
% 0.86/1.36 Y, times_times( int, X, Z ) ), ! ord_less_eq( int, zero_zero( int ), Y )
% 0.86/1.36 , ord_less_eq( int, Z, one_one( int ) ) }.
% 0.86/1.36 { ord_less_eq( int, zero_zero( int ), number_number_of( int, bit0( bit1(
% 0.86/1.36 pls ) ) ) ) }.
% 0.86/1.36 { ! power( X ), ! Z = zero_zero( nat ), power_power( X, Y, Z ) = one_one( X
% 0.86/1.36 ) }.
% 0.86/1.36 { ! power( X ), Z = zero_zero( nat ), power_power( X, Y, Z ) = times_times
% 0.86/1.36 ( X, Y, power_power( X, Y, minus_minus( nat, Z, one_one( nat ) ) ) ) }.
% 0.86/1.36 { ! ord_less_eq( real, X, Y ), ! ord_less_eq( real, Y, X ), X = Y }.
% 0.86/1.36 { ! ord_less_eq( real, X, Y ), ! ord_less_eq( real, Y, Z ), ord_less_eq(
% 0.86/1.36 real, X, Z ) }.
% 0.86/1.36 { ord_less_eq( real, X, Y ), ord_less_eq( real, Y, X ) }.
% 0.86/1.36 { ord_less_eq( real, X, X ) }.
% 0.86/1.36 { ord_less_eq( int, zero_zero( int ), zero_zero( int ) ) }.
% 0.86/1.36 { ord_less_eq( int, zero_zero( int ), one_one( int ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less_eq( int, zero_zero
% 0.86/1.36 ( int ), Y ), ord_less_eq( int, zero_zero( int ), times_times( int, X, Y
% 0.86/1.36 ) ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ! ord_less_eq( int, zero_zero
% 0.86/1.36 ( int ), Y ), ord_less_eq( int, zero_zero( int ), plus_plus( int, X, Y )
% 0.86/1.36 ) }.
% 0.86/1.36 { ! ord_less_eq( int, zero_zero( int ), X ), ord_less_eq( int, zero_zero(
% 0.86/1.36 int ), power_power( int, X, Y ) ) }.
% 0.86/1.36 { ord_less_eq( int, zero_zero( int ), number_number_of( int, bit1( bit1(
% 0.86/1.36 pls ) ) ) ) }.
% 0.86/1.36 { ! linord626643107strict( X ), ! ord_less( X, Y, Z ), ! ord_less( X, T, Z
% 0.86/1.36 ), ! ord_less_eq( X, zero_zero( X ), U ), ! ord_less_eq( X, zero_zero( X
% 0.86/1.36 ), W ), ! plus_plus( X, U, W ) = one_one( X ), ord_less( X, plus_plus( X
% 0.86/1.36 , times_times( X, U, Y ), times_times( X, W, T ) ), Z ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), X ), ! ord_less( real, zero_zero( real
% 0.86/1.36 ), Y ), ord_less( real, zero_zero( real ), skol10( Z, T ) ) }.
% 0.86/1.36 { ! ord_less( nat, zero_zero( nat ), X ), ! ord_less( real, zero_zero( real
% 0.86/1.36 ), Y ), power_power( real, skol10( X, Y ), X ) = Y }.
% 0.86/1.36 { ! comm_semiring_1( X ), dvd_dvd( X, Y, zero_zero( X ) ) }.
% 0.86/1.36 { ! linordered_idom( X ), ti( X, Y ) = ti( X, Z ), ord_less( X, Y, Z ),
% 0.86/1.36 ord_less( X, Z, Y ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), ! dvd_dvd( X, Z, T ),
% 0.86/1.36 dvd_dvd( X, Y, T ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), dvd_dvd( X, Y, Y ) }.
% 0.86/1.36 { ! mult_zero( X ), times_times( X, zero_zero( X ), Y ) = zero_zero( X ) }
% 0.86/1.36 .
% 0.86/1.36 { ! mult_zero( X ), times_times( X, Y, zero_zero( X ) ) = zero_zero( X ) }
% 0.86/1.36 .
% 0.86/1.36 { ! ring_n68954251visors( X ), ! times_times( X, Y, Z ) = zero_zero( X ),
% 0.86/1.36 ti( X, Y ) = zero_zero( X ), ti( X, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! ring_n68954251visors( X ), ! ti( X, Y ) = zero_zero( X ), times_times(
% 0.86/1.36 X, Y, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! ring_n68954251visors( X ), ! ti( X, Z ) = zero_zero( X ), times_times(
% 0.86/1.36 X, Y, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! no_zero_divisors( X ), ti( X, Y ) = zero_zero( X ), ti( X, Z ) =
% 0.86/1.36 zero_zero( X ), ! times_times( X, Y, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! no_zero_divisors( X ), ! times_times( X, Y, Z ) = zero_zero( X ), ti( X
% 0.86/1.36 , Y ) = zero_zero( X ), ti( X, Z ) = zero_zero( X ) }.
% 0.86/1.36 { ! zero_neq_one( X ), ! one_one( X ) = zero_zero( X ) }.
% 0.86/1.36 { ! zero_neq_one( X ), ! zero_zero( X ) = one_one( X ) }.
% 0.86/1.36 { ! comm_semiring( X ), times_times( X, plus_plus( X, Y, Z ), T ) =
% 0.86/1.36 plus_plus( X, times_times( X, Y, T ), times_times( X, Z, T ) ) }.
% 0.86/1.36 { ! semiring( X ), plus_plus( X, times_times( X, Y, Z ), plus_plus( X,
% 0.86/1.36 times_times( X, T, Z ), U ) ) = plus_plus( X, times_times( X, plus_plus(
% 0.86/1.36 X, Y, T ), Z ), U ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, zero_zero( X ), Y ), ti( X, Y ) =
% 0.86/1.36 zero_zero( X ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), dvd_dvd( X, Y, times_times( X, Y, Z ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), dvd_dvd( X, Y, times_times( X, Z, Y ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, Y, times_times
% 0.86/1.36 ( X, Z, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), dvd_dvd( X, Y, times_times
% 0.86/1.36 ( X, T, Z ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), ! dvd_dvd( X, T, U ),
% 0.86/1.36 dvd_dvd( X, times_times( X, Y, T ), times_times( X, Z, U ) ) }.
% 0.86/1.36 { ! dvd( X ), ! Y = times_times( X, Z, T ), dvd_dvd( X, Z, Y ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, times_times( X, Y, T ), Z ),
% 0.86/1.36 dvd_dvd( X, Y, Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, times_times( X, T, Y ), Z ),
% 0.86/1.36 dvd_dvd( X, Y, Z ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), ! dvd_dvd( X, Y, Z ), ! dvd_dvd( X, Y, T ),
% 0.86/1.36 dvd_dvd( X, Y, plus_plus( X, Z, T ) ) }.
% 0.86/1.36 { ! comm_semiring_1( X ), dvd_dvd( X, one_one( X ), Y ) }.
% 0.86/1.36 { ! comm_ring_1( X ), ! dvd_dvd( X, Y, Z ), ! dvd_dvd( X, Y, T ), dvd_dvd(
% 0.86/1.36 X, Y, minus_minus( X, Z, T ) ) }.
% 0.86/1.36 { ! linordered_ring( X ), ord_less_eq( X, zero_zero( X ), times_times( X, Y
% 0.86/1.36 , Y ) ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! ord_less_eq( X, zero_zero( X ),
% 0.86/1.36 times_times( X, Y, Z ) ), alpha4( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! alpha4( X, Y, Z ), ord_less_eq( X,
% 0.86/1.36 zero_zero( X ), times_times( X, Y, Z ) ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! alpha8( X, Y, Z ), ord_less_eq( X,
% 0.86/1.36 zero_zero( X ), times_times( X, Y, Z ) ) }.
% 0.86/1.36 { ! alpha8( X, Y, Z ), ord_less_eq( X, Y, zero_zero( X ) ) }.
% 0.86/1.36 { ! alpha8( X, Y, Z ), ord_less_eq( X, Z, zero_zero( X ) ) }.
% 0.86/1.36 { ! ord_less_eq( X, Y, zero_zero( X ) ), ! ord_less_eq( X, Z, zero_zero( X
% 0.86/1.36 ) ), alpha8( X, Y, Z ) }.
% 0.86/1.36 { ! alpha4( X, Y, Z ), ord_less_eq( X, zero_zero( X ), Y ) }.
% 0.86/1.36 { ! alpha4( X, Y, Z ), ord_less_eq( X, zero_zero( X ), Z ) }.
% 0.86/1.36 { ! ord_less_eq( X, zero_zero( X ), Y ), ! ord_less_eq( X, zero_zero( X ),
% 0.86/1.36 Z ), alpha4( X, Y, Z ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! ord_less_eq( X, times_times( X, Y, Z ),
% 0.86/1.36 zero_zero( X ) ), alpha5( X, Y, Z ), alpha9( X, Y, Z ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! alpha5( X, Y, Z ), ord_less_eq( X,
% 0.86/1.36 times_times( X, Y, Z ), zero_zero( X ) ) }.
% 0.86/1.36 { ! linord581940658strict( X ), ! alpha9( X, Y, Z ), ord_less_eq( X,
% 0.86/1.36 times_times( X, Y, Z ), zero_zero( X ) ) }.
% 0.86/1.36 { ! alpha9( X, Y, Z ), ord_less_eq( X, Y, zero_zero( X ) ) }.
% 0.86/1.36 { ! alpha9( X, Y, Z ), ord_less_eq( X, zero_zero( X ), Z ) }.
% 0.86/1.36 { ! ord_less_eq( X, Y, zero_zero( X ) ), ! ord_less_eq( X, zero_zero( X ),
% 0.86/1.36 Z ), alpha9( X, Y, Z ) }.
% 0.86/1.36 { ! alpha5( X, Y, Z ), ord_less_eq( X, zero_zero( X ), Y ) }.
% 0.86/1.36 { ! alpha5( X, Y, Z ), ord_less_eq( X, Z, zero_zero( X ) ) }.
% 0.86/1.36 { ! ord_less_eq( X, zero_zero( X ), Y ), ! ord_less_eq( X, Z, zero_zero( X
% 0.86/1.37 ) ), alpha5( X, Y, Z ) }.
% 0.86/1.37 { ! ordere453448008miring( X ), ! ord_less_eq( X, zero_zero( X ), Y ), !
% 0.86/1.37 ord_less_eq( X, zero_zero( X ), Z ), ord_less_eq( X, zero_zero( X ),
% 0.86/1.37 times_times( X, Y, Z ) ) }.
% 0.86/1.37 { ! ordere453448008miring( X ), ! ord_less_eq( X, zero_zero( X ), Y ), !
% 0.86/1.37 ord_less_eq( X, Z, zero_zero( X ) ), ord_less_eq( X, times_times( X, Y, Z
% 0.86/1.37 ), zero_zero( X ) ) }.
% 0.86/1.37 { ! ordere453448008miring( X ), ! ord_less_eq( X, zero_zero( X ), Y ), !
% 0.86/1.37 ord_less_eq( X, Z, zero_zero( X ) ), ord_less_eq( X, times_times( X, Z, Y
% 0.86/1.37 ), zero_zero( X ) ) }.
% 0.86/1.37 { ! ordere453448008miring( X ), ! ord_less_eq( X, Y, zero_zero( X ) ), !
% 0.86/1.37 ord_less_eq( X, zero_zero( X ), Z ), ord_less_eq( X, times_times( X, Y, Z
% 0.86/1.37 ), zero_zero( X ) ) }.
% 0.86/1.37 { semiri456707255roduct( int ) }.
% 0.86/1.37 { linord626643107strict( int ) }.
% 0.86/1.37 { linord219039673up_add( int ) }.
% 0.86/1.37 { ring_11004092258visors( int ) }.
% 0.86/1.37 { ordere453448008miring( int ) }.
% 0.86/1.37 { linord581940658strict( int ) }.
% 0.86/1.37 { ring_n68954251visors( int ) }.
% 0.86/1.37 { linordered_semidom( int ) }.
% 0.86/1.37 { comm_monoid_mult( int ) }.
% 0.86/1.37 { no_zero_divisors( int ) }.
% 0.86/1.37 { linordered_ring( int ) }.
% 0.86/1.37 { linordered_idom( int ) }.
% 0.86/1.37 { comm_semiring_1( int ) }.
% 0.86/1.37 { comm_semiring( int ) }.
% 0.86/1.37 { number_semiring( int ) }.
% 0.86/1.37 { ab_group_add( int ) }.
% 0.86/1.37 { zero_neq_one( int ) }.
% 0.86/1.37 { linorder( int ) }.
% 0.86/1.37 { monoid_mult( int ) }.
% 0.86/1.37 { comm_ring_1( int ) }.
% 0.86/1.37 { semiring_1( int ) }.
% 0.86/1.37 { semiring_0( int ) }.
% 0.86/1.37 { mult_zero( int ) }.
% 0.86/1.37 { order( int ) }.
% 0.86/1.37 { ring_char_0( int ) }.
% 0.86/1.37 { number_ring( int ) }.
% 0.86/1.37 { semiring( int ) }.
% 0.86/1.37 { ring_1( int ) }.
% 0.86/1.37 { power( int ) }.
% 0.86/1.37 { ring( int ) }.
% 0.86/1.37 { number( int ) }.
% 0.86/1.37 { dvd( int ) }.
% 0.86/1.37 { semiri456707255roduct( nat ) }.
% 0.86/1.37 { ordere453448008miring( nat ) }.
% 0.86/1.37 { linordered_semidom( nat ) }.
% 0.86/1.37 { comm_monoid_mult( nat ) }.
% 0.86/1.37 { no_zero_divisors( nat ) }.
% 0.86/1.37 { comm_semiring_1( nat ) }.
% 0.86/1.37 { comm_semiring( nat ) }.
% 0.86/1.37 { number_semiring( nat ) }.
% 0.86/1.37 { zero_neq_one( nat ) }.
% 0.86/1.37 { linorder( nat ) }.
% 0.86/1.37 { monoid_mult( nat ) }.
% 0.86/1.37 { semiring_1( nat ) }.
% 0.86/1.37 { semiring_0( nat ) }.
% 0.86/1.37 { mult_zero( nat ) }.
% 0.86/1.37 { order( nat ) }.
% 0.86/1.37 { semiring( nat ) }.
% 0.86/1.37 { power( nat ) }.
% 0.86/1.37 { number( nat ) }.
% 0.86/1.37 { dvd( nat ) }.
% 0.86/1.37 { order( bool ) }.
% 0.86/1.37 { semiri456707255roduct( real ) }.
% 0.86/1.37 { linord626643107strict( real ) }.
% 0.86/1.37 { linord219039673up_add( real ) }.
% 0.86/1.37 { ring_11004092258visors( real ) }.
% 0.86/1.37 { ordere453448008miring( real ) }.
% 0.86/1.37 { linord581940658strict( real ) }.
% 0.86/1.37 { ring_n68954251visors( real ) }.
% 0.86/1.37 { linordered_semidom( real ) }.
% 0.86/1.37 { comm_monoid_mult( real ) }.
% 0.86/1.37 { no_zero_divisors( real ) }.
% 0.86/1.37 { linordered_ring( real ) }.
% 0.86/1.37 { linordered_idom( real ) }.
% 0.86/1.37 { comm_semiring_1( real ) }.
% 0.86/1.37 { comm_semiring( real ) }.
% 0.86/1.37 { number_semiring( real ) }.
% 0.86/1.37 { ab_group_add( real ) }.
% 0.86/1.37 { zero_neq_one( real ) }.
% 0.86/1.37 { linorder( real ) }.
% 0.86/1.37 { monoid_mult( real ) }.
% 0.86/1.37 { comm_ring_1( real ) }.
% 0.86/1.37 { semiring_1( real ) }.
% 0.86/1.37 { semiring_0( real ) }.
% 0.86/1.37 { mult_zero( real ) }.
% 0.86/1.37 { order( real ) }.
% 0.86/1.37 { ring_char_0( real ) }.
% 0.86/1.37 { number_ring( real ) }.
% 0.86/1.37 { semiring( real ) }.
% 0.86/1.37 { ring_1( real ) }.
% 0.86/1.37 { power( real ) }.
% 0.86/1.37 { ring( real ) }.
% 0.86/1.37 { number( real ) }.
% 0.86/1.37 { dvd( real ) }.
% 0.86/1.37 { ti( X, ti( X, Y ) ) = ti( X, Y ) }.
% 0.86/1.37 { ! plus_plus( int, power_power( int, X, number_number_of( nat, bit0( bit1
% 0.86/1.37 ( pls ) ) ) ), power_power( int, Y, number_number_of( nat, bit0( bit1(
% 0.86/1.37 pls ) ) ) ) ) = plus_plus( int, times_times( int, number_number_of( int,
% 0.86/1.37 bit0( bit0( bit1( pls ) ) ) ), m ), one_one( int ) ) }.
% 0.86/1.37
% 0.86/1.37 *** allocated 15000 integers for clauses
% 0.86/1.37 *** allocated 22500 integers for clauses
% 0.86/1.37 *** allocated 33750 integers for clauses
% 0.86/1.37 *** allocated 50625 integers for clauses
% 0.86/1.37 percentage equality = 0.284916, percentage horn = 0.922889
% 0.86/1.37 This is a problem with some equality
% 0.86/1.37
% 0.86/1.37
% 0.86/1.37
% 0.86/1.37 Options Used:
% 0.86/1.37
% 0.86/1.37 useres = 1
% 0.86/1.37 useparamod = 1
% 0.86/1.37 useeqrefl = 1
% 0.86/1.37 useeqfact = 1
% 0.86/1.37 usefactor = 1
% 0.86/1.37 usesimpsplitting = 0
% 0.86/1.37 usesimpdemod = 5
% 0.86/1.37 usesimpres = 3
% 0.86/1.37
% 0.86/1.37 resimpinuse = 1000
% 0.86/1.37 resimpclauses = 20000
% 0.86/1.37 substype = eqrewr
% 0.86/1.37 backwardsubs = 1
% 0.86/1.37 selectoldest = 5
% 0.86/1.37
% 0.86/1.37 litorderings [0] = split
% 0.86/1.37 litorderings [1] = extend the termordering, first sorting on arguments
% 0.86/1.37
% 0.86/1.37 termordering = kbo
% 0.86/1.37
% 0.86/1.37 litapriori = 0
% 0.86/1.37 termapriori = 1
% 0.86/1.37 litaposteriori = 0
% 0.86/1.37 termaposteriori = 0
% 0.86/1.37 demodaposteriori = 0
% 0.86/1.37 ordereqreflfact = 0
% 0.86/1.37
% 0.86/1.37 litselect = negord
% 3.23/3.66
% 3.23/3.66 maxweight = 15
% 3.23/3.66 maxdepth = 30000
% 3.23/3.66 maxlength = 115
% 3.23/3.66 maxnrvars = 195
% 3.23/3.66 excuselevel = 1
% 3.23/3.66 increasemaxweight = 1
% 3.23/3.66
% 3.23/3.66 maxselected = 10000000
% 3.23/3.66 maxnrclauses = 10000000
% 3.23/3.66
% 3.23/3.66 showgenerated = 0
% 3.23/3.66 showkept = 0
% 3.23/3.66 showselected = 0
% 3.23/3.66 showdeleted = 0
% 3.23/3.66 showresimp = 1
% 3.23/3.66 showstatus = 2000
% 3.23/3.66
% 3.23/3.66 prologoutput = 0
% 3.23/3.66 nrgoals = 5000000
% 3.23/3.66 totalproof = 1
% 3.23/3.66
% 3.23/3.66 Symbols occurring in the translation:
% 3.23/3.66
% 3.23/3.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.23/3.66 . [1, 2] (w:1, o:138, a:1, s:1, b:0),
% 3.23/3.66 ! [4, 1] (w:0, o:91, a:1, s:1, b:0),
% 3.23/3.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.23/3.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.23/3.66 ab_group_add [38, 1] (w:1, o:96, a:1, s:1, b:0),
% 3.23/3.66 ti [39, 2] (w:1, o:164, a:1, s:1, b:0),
% 3.23/3.66 minus_minus [40, 3] (w:1, o:174, a:1, s:1, b:0),
% 3.23/3.66 nat [41, 0] (w:1, o:24, a:1, s:1, b:0),
% 3.23/3.66 zero_neq_one [42, 1] (w:1, o:97, a:1, s:1, b:0),
% 3.23/3.66 one_one [43, 1] (w:1, o:111, a:1, s:1, b:0),
% 3.23/3.66 power [44, 1] (w:1, o:114, a:1, s:1, b:0),
% 3.23/3.66 semiring [45, 1] (w:1, o:120, a:1, s:1, b:0),
% 3.23/3.66 plus_plus [46, 3] (w:1, o:177, a:1, s:1, b:0),
% 3.23/3.66 dvd [47, 1] (w:1, o:125, a:1, s:1, b:0),
% 3.23/3.66 times_times [48, 3] (w:1, o:179, a:1, s:1, b:0),
% 3.23/3.66 no_zero_divisors [49, 1] (w:1, o:107, a:1, s:1, b:0),
% 3.23/3.66 mult_zero [50, 1] (w:1, o:105, a:1, s:1, b:0),
% 3.23/3.66 zero_zero [51, 1] (w:1, o:126, a:1, s:1, b:0),
% 3.23/3.66 linord219039673up_add [52, 1] (w:1, o:98, a:1, s:1, b:0),
% 3.23/3.66 undefined [53, 1] (w:1, o:133, a:1, s:1, b:0),
% 3.23/3.66 int [55, 0] (w:1, o:27, a:1, s:1, b:0),
% 3.23/3.66 zcong [56, 3] (w:1, o:180, a:1, s:1, b:0),
% 3.23/3.66 zprime [57, 1] (w:1, o:134, a:1, s:1, b:0),
% 3.23/3.66 bit0 [58, 1] (w:1, o:136, a:1, s:1, b:0),
% 3.23/3.66 bit1 [59, 1] (w:1, o:137, a:1, s:1, b:0),
% 3.23/3.66 min [60, 0] (w:1, o:22, a:1, s:1, b:0),
% 3.23/3.66 pls [61, 0] (w:1, o:28, a:1, s:1, b:0),
% 3.23/3.66 number [62, 1] (w:1, o:108, a:1, s:1, b:0),
% 3.23/3.66 number_number_of [63, 2] (w:1, o:165, a:1, s:1, b:0),
% 3.23/3.66 order [64, 1] (w:1, o:112, a:1, s:1, b:0),
% 3.23/3.66 ord_less [65, 3] (w:1, o:175, a:1, s:1, b:0),
% 3.23/3.66 ord_less_eq [66, 3] (w:1, o:176, a:1, s:1, b:0),
% 3.23/3.66 power_power [67, 3] (w:1, o:181, a:1, s:1, b:0),
% 3.23/3.66 product_Pair [68, 4] (w:1, o:187, a:1, s:1, b:0),
% 3.23/3.66 product_prod [69, 2] (w:1, o:166, a:1, s:1, b:0),
% 3.23/3.66 legendre [70, 2] (w:1, o:167, a:1, s:1, b:0),
% 3.23/3.66 quadRes [71, 2] (w:1, o:168, a:1, s:1, b:0),
% 3.23/3.66 dvd_dvd [72, 3] (w:1, o:182, a:1, s:1, b:0),
% 3.23/3.66 twoSqu420862341sum2sq [73, 1] (w:1, o:131, a:1, s:1, b:0),
% 3.23/3.66 twoSqu579703163sum2sq [74, 1] (w:1, o:132, a:1, s:1, b:0),
% 3.23/3.66 m [75, 0] (w:1, o:23, a:1, s:1, b:0),
% 3.23/3.66 s1 [76, 0] (w:1, o:30, a:1, s:1, b:0),
% 3.23/3.66 s [77, 0] (w:1, o:31, a:1, s:1, b:0),
% 3.23/3.66 t [78, 0] (w:1, o:40, a:1, s:1, b:0),
% 3.23/3.66 number_semiring [83, 1] (w:1, o:110, a:1, s:1, b:0),
% 3.23/3.66 monoid_mult [87, 1] (w:1, o:106, a:1, s:1, b:0),
% 3.23/3.66 semiring_1 [89, 1] (w:1, o:128, a:1, s:1, b:0),
% 3.23/3.66 comm_semiring_1 [90, 1] (w:1, o:122, a:1, s:1, b:0),
% 3.23/3.66 number_ring [92, 1] (w:1, o:109, a:1, s:1, b:0),
% 3.23/3.66 linorder [103, 1] (w:1, o:99, a:1, s:1, b:0),
% 3.23/3.66 linordered_idom [105, 1] (w:1, o:100, a:1, s:1, b:0),
% 3.23/3.66 ring_char_0 [121, 1] (w:1, o:115, a:1, s:1, b:0),
% 3.23/3.66 semiri456707255roduct [125, 1] (w:1, o:129, a:1, s:1, b:0),
% 3.23/3.66 real [132, 0] (w:1, o:29, a:1, s:1, b:0),
% 3.23/3.66 linordered_semidom [133, 1] (w:1, o:102, a:1, s:1, b:0),
% 3.23/3.66 ring_11004092258visors [136, 1] (w:1, o:116, a:1, s:1, b:0),
% 3.23/3.66 semiring_0 [137, 1] (w:1, o:127, a:1, s:1, b:0),
% 3.23/3.66 linord581940658strict [141, 1] (w:1, o:103, a:1, s:1, b:0),
% 3.23/3.66 linordered_ring [143, 1] (w:1, o:101, a:1, s:1, b:0),
% 3.23/3.66 comm_monoid_mult [145, 1] (w:1, o:123, a:1, s:1, b:0),
% 3.23/3.66 ring [150, 1] (w:1, o:117, a:1, s:1, b:0),
% 3.23/3.66 ring_1 [151, 1] (w:1, o:118, a:1, s:1, b:0),
% 3.23/3.66 linord626643107strict [155, 1] (w:1, o:104, a:1, s:1, b:0),
% 3.23/3.66 ring_n68954251visors [158, 1] (w:1, o:119, a:1, s:1, b:0),
% 3.23/3.66 comm_semiring [159, 1] (w:1, o:124, a:1, s:1, b:0),
% 3.23/3.66 comm_ring_1 [161, 1] (w:1, o:121, a:1, s:1, b:0),
% 3.23/3.66 ordere453448008miring [162, 1] (w:1, o:113, a:1, s:1, b:0),
% 24.63/25.10 bool [163, 0] (w:1, o:90, a:1, s:1, b:0),
% 24.63/25.10 alpha1 [166, 2] (w:1, o:169, a:1, s:1, b:1),
% 24.63/25.10 alpha2 [167, 1] (w:1, o:135, a:1, s:1, b:1),
% 24.63/25.10 alpha3 [168, 2] (w:1, o:170, a:1, s:1, b:1),
% 24.63/25.10 alpha4 [169, 3] (w:1, o:183, a:1, s:1, b:1),
% 24.63/25.10 alpha5 [170, 3] (w:1, o:184, a:1, s:1, b:1),
% 24.63/25.10 alpha6 [171, 2] (w:1, o:171, a:1, s:1, b:1),
% 24.63/25.10 alpha7 [172, 2] (w:1, o:172, a:1, s:1, b:1),
% 24.63/25.10 alpha8 [173, 3] (w:1, o:185, a:1, s:1, b:1),
% 24.63/25.10 alpha9 [174, 3] (w:1, o:186, a:1, s:1, b:1),
% 24.63/25.10 alpha10 [175, 2] (w:1, o:173, a:1, s:1, b:1),
% 24.63/25.10 skol1 [176, 0] (w:1, o:32, a:1, s:1, b:1),
% 24.63/25.10 skol2 [177, 0] (w:1, o:35, a:1, s:1, b:1),
% 24.63/25.10 skol3 [178, 0] (w:1, o:36, a:1, s:1, b:1),
% 24.63/25.10 skol4 [179, 0] (w:1, o:37, a:1, s:1, b:1),
% 24.63/25.10 skol5 [180, 0] (w:1, o:38, a:1, s:1, b:1),
% 24.63/25.10 skol6 [181, 1] (w:1, o:130, a:1, s:1, b:1),
% 24.63/25.10 skol7 [182, 0] (w:1, o:39, a:1, s:1, b:1),
% 24.63/25.10 skol8 [183, 3] (w:1, o:178, a:1, s:1, b:1),
% 24.63/25.10 skol9 [184, 2] (w:1, o:162, a:1, s:1, b:1),
% 24.63/25.10 skol10 [185, 2] (w:1, o:163, a:1, s:1, b:1),
% 24.63/25.10 skol11 [186, 0] (w:1, o:33, a:1, s:1, b:1),
% 24.63/25.10 skol12 [187, 0] (w:1, o:34, a:1, s:1, b:1).
% 24.63/25.10
% 24.63/25.10
% 24.63/25.10 Starting Search:
% 24.63/25.10
% 24.63/25.10 *** allocated 75937 integers for clauses
% 24.63/25.10 *** allocated 113905 integers for clauses
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 75937 integers for termspace/termends
% 24.63/25.10 *** allocated 170857 integers for clauses
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 6934
% 24.63/25.10 Kept: 2149
% 24.63/25.10 Inuse: 428
% 24.63/25.10 Deleted: 38
% 24.63/25.10 Deletedinuse: 0
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 256285 integers for clauses
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 113905 integers for termspace/termends
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 11886
% 24.63/25.10 Kept: 4155
% 24.63/25.10 Inuse: 626
% 24.63/25.10 Deleted: 69
% 24.63/25.10 Deletedinuse: 22
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 384427 integers for clauses
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 17940
% 24.63/25.10 Kept: 6156
% 24.63/25.10 Inuse: 760
% 24.63/25.10 Deleted: 75
% 24.63/25.10 Deletedinuse: 22
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 170857 integers for termspace/termends
% 24.63/25.10 *** allocated 576640 integers for clauses
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 23487
% 24.63/25.10 Kept: 8171
% 24.63/25.10 Inuse: 891
% 24.63/25.10 Deleted: 85
% 24.63/25.10 Deletedinuse: 23
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 256285 integers for termspace/termends
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 31695
% 24.63/25.10 Kept: 10232
% 24.63/25.10 Inuse: 1007
% 24.63/25.10 Deleted: 103
% 24.63/25.10 Deletedinuse: 24
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 864960 integers for clauses
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 37800
% 24.63/25.10 Kept: 12241
% 24.63/25.10 Inuse: 1153
% 24.63/25.10 Deleted: 129
% 24.63/25.10 Deletedinuse: 33
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 384427 integers for termspace/termends
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 48794
% 24.63/25.10 Kept: 14771
% 24.63/25.10 Inuse: 1219
% 24.63/25.10 Deleted: 140
% 24.63/25.10 Deletedinuse: 38
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 1297440 integers for clauses
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 54868
% 24.63/25.10 Kept: 16854
% 24.63/25.10 Inuse: 1304
% 24.63/25.10 Deleted: 159
% 24.63/25.10 Deletedinuse: 47
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 62960
% 24.63/25.10 Kept: 18864
% 24.63/25.10 Inuse: 1382
% 24.63/25.10 Deleted: 171
% 24.63/25.10 Deletedinuse: 56
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 576640 integers for termspace/termends
% 24.63/25.10 Resimplifying clauses:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 68582
% 24.63/25.10 Kept: 20930
% 24.63/25.10 Inuse: 1440
% 24.63/25.10 Deleted: 1701
% 24.63/25.10 Deletedinuse: 62
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 86683
% 24.63/25.10 Kept: 23630
% 24.63/25.10 Inuse: 1567
% 24.63/25.10 Deleted: 1749
% 24.63/25.10 Deletedinuse: 107
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10 *** allocated 1946160 integers for clauses
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 96204
% 24.63/25.10 Kept: 25666
% 24.63/25.10 Inuse: 1610
% 24.63/25.10 Deleted: 1754
% 24.63/25.10 Deletedinuse: 110
% 24.63/25.10
% 24.63/25.10 Resimplifying inuse:
% 24.63/25.10 Done
% 24.63/25.10
% 24.63/25.10
% 24.63/25.10 Intermediate Status:
% 24.63/25.10 Generated: 103152
% 24.63/25.10 Kept: 28039
% 24.63/25.10 Inuse: 1634
% 85.79/86.35 Deleted: 1755
% 85.79/86.35 Deletedinuse: 110
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35 *** allocated 864960 integers for termspace/termends
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35
% 85.79/86.35 Intermediate Status:
% 85.79/86.35 Generated: 110342
% 85.79/86.35 Kept: 30052
% 85.79/86.35 Inuse: 1771
% 85.79/86.35 Deleted: 1758
% 85.79/86.35 Deletedinuse: 110
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35
% 85.79/86.35 Intermediate Status:
% 85.79/86.35 Generated: 118897
% 85.79/86.35 Kept: 32158
% 85.79/86.35 Inuse: 1871
% 85.79/86.35 Deleted: 1778
% 85.79/86.35 Deletedinuse: 130
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35
% 85.79/86.35 Intermediate Status:
% 85.79/86.35 Generated: 127502
% 85.79/86.35 Kept: 34338
% 85.79/86.35 Inuse: 1975
% 85.79/86.35 Deleted: 1780
% 85.79/86.35 Deletedinuse: 131
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35 *** allocated 2919240 integers for clauses
% 85.79/86.35
% 85.79/86.35 Intermediate Status:
% 85.79/86.35 Generated: 148243
% 85.79/86.35 Kept: 39069
% 85.79/86.35 Inuse: 2053
% 85.79/86.35 Deleted: 1795
% 85.79/86.35 Deletedinuse: 144
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35
% 85.79/86.35 Intermediate Status:
% 85.79/86.35 Generated: 163486
% 85.79/86.35 Kept: 42843
% 85.79/86.35 Inuse: 2055
% 85.79/86.35 Deleted: 1807
% 85.79/86.35 Deletedinuse: 156
% 85.79/86.35
% 85.79/86.35 Resimplifying inuse:
% 85.79/86.35 Done
% 85.79/86.35
% 85.79/86.35 Resimplifying clauses:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 *** allocated 1297440 integers for termspace/termends
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 178005
% 85.79/86.36 Kept: 45665
% 85.79/86.36 Inuse: 2078
% 85.79/86.36 Deleted: 8843
% 85.79/86.36 Deletedinuse: 272
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 184661
% 85.79/86.36 Kept: 49848
% 85.79/86.36 Inuse: 2098
% 85.79/86.36 Deleted: 8843
% 85.79/86.36 Deletedinuse: 272
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 190438
% 85.79/86.36 Kept: 53847
% 85.79/86.36 Inuse: 2103
% 85.79/86.36 Deleted: 8843
% 85.79/86.36 Deletedinuse: 272
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 200293
% 85.79/86.36 Kept: 59012
% 85.79/86.36 Inuse: 2143
% 85.79/86.36 Deleted: 8843
% 85.79/86.36 Deletedinuse: 272
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 *** allocated 4378860 integers for clauses
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 214515
% 85.79/86.36 Kept: 62999
% 85.79/86.36 Inuse: 2163
% 85.79/86.36 Deleted: 8843
% 85.79/86.36 Deletedinuse: 272
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying clauses:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 *** allocated 1946160 integers for termspace/termends
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 230445
% 85.79/86.36 Kept: 65814
% 85.79/86.36 Inuse: 2193
% 85.79/86.36 Deleted: 9230
% 85.79/86.36 Deletedinuse: 274
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 252319
% 85.79/86.36 Kept: 69431
% 85.79/86.36 Inuse: 2203
% 85.79/86.36 Deleted: 9230
% 85.79/86.36 Deletedinuse: 274
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 272053
% 85.79/86.36 Kept: 78824
% 85.79/86.36 Inuse: 2253
% 85.79/86.36 Deleted: 9230
% 85.79/86.36 Deletedinuse: 274
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 301827
% 85.79/86.36 Kept: 82010
% 85.79/86.36 Inuse: 2278
% 85.79/86.36 Deleted: 9230
% 85.79/86.36 Deletedinuse: 274
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 338728
% 85.79/86.36 Kept: 85992
% 85.79/86.36 Inuse: 2288
% 85.79/86.36 Deleted: 9248
% 85.79/86.36 Deletedinuse: 292
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying clauses:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 350226
% 85.79/86.36 Kept: 88011
% 85.79/86.36 Inuse: 2303
% 85.79/86.36 Deleted: 9474
% 85.79/86.36 Deletedinuse: 293
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 358086
% 85.79/86.36 Kept: 90014
% 85.79/86.36 Inuse: 2343
% 85.79/86.36 Deleted: 9474
% 85.79/86.36 Deletedinuse: 293
% 85.79/86.36
% 85.79/86.36 *** allocated 2919240 integers for termspace/termends
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 373088
% 85.79/86.36 Kept: 92930
% 85.79/86.36 Inuse: 2353
% 85.79/86.36 Deleted: 9474
% 85.79/86.36 Deletedinuse: 293
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 *** allocated 6568290 integers for clauses
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 387619
% 85.79/86.36 Kept: 94930
% 85.79/86.36 Inuse: 2394
% 85.79/86.36 Deleted: 9474
% 85.79/86.36 Deletedinuse: 293
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 401510
% 85.79/86.36 Kept: 96940
% 85.79/86.36 Inuse: 2416
% 85.79/86.36 Deleted: 9474
% 85.79/86.36 Deletedinuse: 293
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 419658
% 85.79/86.36 Kept: 101257
% 85.79/86.36 Inuse: 2418
% 85.79/86.36 Deleted: 9474
% 85.79/86.36 Deletedinuse: 293
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36 Resimplifying inuse:
% 85.79/86.36 Done
% 85.79/86.36
% 85.79/86.36
% 85.79/86.36 Intermediate Status:
% 85.79/86.36 Generated: 429033
% 85.79/86.36 Kept: 103288
% 85.79/86.36 Inuse: 2453
% 85.79/86.36 Deleted: 9474
% 207.67/208.23 Deletedinuse: 293
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 439389
% 207.67/208.23 Kept: 105319
% 207.67/208.23 Inuse: 2483
% 207.67/208.23 Deleted: 9475
% 207.67/208.23 Deletedinuse: 294
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying clauses:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 448675
% 207.67/208.23 Kept: 107355
% 207.67/208.23 Inuse: 2518
% 207.67/208.23 Deleted: 9826
% 207.67/208.23 Deletedinuse: 294
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 455007
% 207.67/208.23 Kept: 109404
% 207.67/208.23 Inuse: 2557
% 207.67/208.23 Deleted: 9827
% 207.67/208.23 Deletedinuse: 294
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 460087
% 207.67/208.23 Kept: 111404
% 207.67/208.23 Inuse: 2617
% 207.67/208.23 Deleted: 9829
% 207.67/208.23 Deletedinuse: 294
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 469020
% 207.67/208.23 Kept: 113426
% 207.67/208.23 Inuse: 2680
% 207.67/208.23 Deleted: 9831
% 207.67/208.23 Deletedinuse: 294
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 497279
% 207.67/208.23 Kept: 115426
% 207.67/208.23 Inuse: 2767
% 207.67/208.23 Deleted: 9831
% 207.67/208.23 Deletedinuse: 294
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 511332
% 207.67/208.23 Kept: 118817
% 207.67/208.23 Inuse: 2813
% 207.67/208.23 Deleted: 9831
% 207.67/208.23 Deletedinuse: 294
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 530991
% 207.67/208.23 Kept: 120845
% 207.67/208.23 Inuse: 2930
% 207.67/208.23 Deleted: 9831
% 207.67/208.23 Deletedinuse: 294
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 550367
% 207.67/208.23 Kept: 122872
% 207.67/208.23 Inuse: 3012
% 207.67/208.23 Deleted: 9832
% 207.67/208.23 Deletedinuse: 295
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 570768
% 207.67/208.23 Kept: 124879
% 207.67/208.23 Inuse: 3111
% 207.67/208.23 Deleted: 9843
% 207.67/208.23 Deletedinuse: 302
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying clauses:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 590734
% 207.67/208.23 Kept: 126881
% 207.67/208.23 Inuse: 3207
% 207.67/208.23 Deleted: 10505
% 207.67/208.23 Deletedinuse: 320
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23 Resimplifying inuse:
% 207.67/208.23 Done
% 207.67/208.23
% 207.67/208.23
% 207.67/208.23 Intermediate Status:
% 207.67/208.23 Generated: 610603
% 207.67/208.24 Kept: 128901
% 207.67/208.24 Inuse: 3309
% 207.67/208.24 Deleted: 10534
% 207.67/208.24 Deletedinuse: 348
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 630678
% 207.67/208.24 Kept: 130920
% 207.67/208.24 Inuse: 3398
% 207.67/208.24 Deleted: 10534
% 207.67/208.24 Deletedinuse: 348
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 645736
% 207.67/208.24 Kept: 132926
% 207.67/208.24 Inuse: 3465
% 207.67/208.24 Deleted: 10534
% 207.67/208.24 Deletedinuse: 348
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 662444
% 207.67/208.24 Kept: 134954
% 207.67/208.24 Inuse: 3536
% 207.67/208.24 Deleted: 10534
% 207.67/208.24 Deletedinuse: 348
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 680103
% 207.67/208.24 Kept: 136984
% 207.67/208.24 Inuse: 3614
% 207.67/208.24 Deleted: 10536
% 207.67/208.24 Deletedinuse: 348
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 695371
% 207.67/208.24 Kept: 138989
% 207.67/208.24 Inuse: 3695
% 207.67/208.24 Deleted: 10540
% 207.67/208.24 Deletedinuse: 348
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 711911
% 207.67/208.24 Kept: 140994
% 207.67/208.24 Inuse: 3809
% 207.67/208.24 Deleted: 10556
% 207.67/208.24 Deletedinuse: 348
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 728389
% 207.67/208.24 Kept: 143030
% 207.67/208.24 Inuse: 3908
% 207.67/208.24 Deleted: 10578
% 207.67/208.24 Deletedinuse: 363
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 *** allocated 4378860 integers for termspace/termends
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 *** allocated 9852435 integers for clauses
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 743828
% 207.67/208.24 Kept: 145053
% 207.67/208.24 Inuse: 3973
% 207.67/208.24 Deleted: 10580
% 207.67/208.24 Deletedinuse: 363
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying clauses:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 762803
% 207.67/208.24 Kept: 147064
% 207.67/208.24 Inuse: 4070
% 207.67/208.24 Deleted: 12839
% 207.67/208.24 Deletedinuse: 414
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 Generated: 774879
% 207.67/208.24 Kept: 149071
% 207.67/208.24 Inuse: 4134
% 207.67/208.24 Deleted: 12851
% 207.67/208.24 Deletedinuse: 426
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24 Resimplifying inuse:
% 207.67/208.24 Done
% 207.67/208.24
% 207.67/208.24
% 207.67/208.24 Intermediate Status:
% 207.67/208.24 GenerCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------