TSTP Solution File: NUM925+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM925+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 06:27:39 EDT 2022
% Result : Theorem 1.47s 1.90s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM925+1 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jul 5 06:46:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/1.12 *** allocated 10000 integers for termspace/termends
% 0.46/1.12 *** allocated 10000 integers for clauses
% 0.46/1.12 *** allocated 10000 integers for justifications
% 0.46/1.12 Bliksem 1.12
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 Automatic Strategy Selection
% 0.46/1.12
% 0.46/1.12
% 0.46/1.12 Clauses:
% 0.46/1.12
% 0.46/1.12 { ord_less_int( zero_zero_int, plus_plus_int( one_one_int,
% 0.46/1.12 semiri1621563631at_int( n ) ) ) }.
% 0.46/1.12 { ord_less_int( one_one_int, t ) }.
% 0.46/1.12 { ! plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.46/1.12 pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls )
% 0.46/1.12 ) ) ) ) = zero_zero_int, X = zero_zero_int }.
% 0.46/1.12 { ! plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.46/1.12 pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls )
% 0.46/1.12 ) ) ) ) = zero_zero_int, Y = zero_zero_int }.
% 0.46/1.12 { ! X = zero_zero_int, ! Y = zero_zero_int, plus_plus_int( power_power_int
% 0.46/1.12 ( X, number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 0.46/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = zero_zero_int }.
% 0.46/1.12 { power_power_int( one_one_int, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.46/1.12 ) = one_one_int }.
% 0.46/1.12 { power_power_nat( one_one_nat, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.46/1.12 ) = one_one_nat }.
% 0.46/1.12 { power_power_int( zero_zero_int, number_number_of_nat( bit0( bit1( pls ) )
% 0.46/1.12 ) ) = zero_zero_int }.
% 0.46/1.12 { power_power_nat( zero_zero_nat, number_number_of_nat( bit0( bit1( pls ) )
% 0.46/1.12 ) ) = zero_zero_nat }.
% 0.46/1.12 { ! power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.46/1.12 zero_zero_int, X = zero_zero_int }.
% 0.46/1.12 { ! X = zero_zero_int, power_power_int( X, number_number_of_nat( bit0( bit1
% 0.46/1.12 ( pls ) ) ) ) = zero_zero_int }.
% 0.46/1.12 { plus_plus_int( one_one_int, number_number_of_int( X ) ) =
% 0.46/1.12 number_number_of_int( plus_plus_int( bit1( pls ), X ) ) }.
% 0.46/1.12 { plus_plus_int( number_number_of_int( X ), one_one_int ) =
% 0.46/1.12 number_number_of_int( plus_plus_int( X, bit1( pls ) ) ) }.
% 0.46/1.12 { plus_plus_int( one_one_int, one_one_int ) = number_number_of_int( bit0(
% 0.46/1.12 bit1( pls ) ) ) }.
% 0.46/1.12 { plus_plus_int( one_one_int, one_one_int ) = number_number_of_int( bit0(
% 0.46/1.12 bit1( pls ) ) ) }.
% 0.46/1.12 { plus_plus_nat( one_one_nat, one_one_nat ) = number_number_of_nat( bit0(
% 0.46/1.12 bit1( pls ) ) ) }.
% 0.46/1.12 { power_power_int( power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.46/1.12 pls ) ) ) ), number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.46/1.12 power_power_int( X, number_number_of_nat( bit0( bit0( bit1( pls ) ) ) ) )
% 0.46/1.12 }.
% 0.46/1.12 { ! number_number_of_nat( X ) = zero_zero_nat, power_power_int(
% 0.46/1.12 zero_zero_int, number_number_of_nat( X ) ) = one_one_int }.
% 0.46/1.12 { number_number_of_nat( X ) = zero_zero_nat, power_power_int( zero_zero_int
% 0.46/1.12 , number_number_of_nat( X ) ) = zero_zero_int }.
% 0.46/1.12 { ! number_number_of_nat( X ) = zero_zero_nat, power_power_nat(
% 0.46/1.12 zero_zero_nat, number_number_of_nat( X ) ) = one_one_nat }.
% 0.46/1.12 { number_number_of_nat( X ) = zero_zero_nat, power_power_nat( zero_zero_nat
% 0.46/1.12 , number_number_of_nat( X ) ) = zero_zero_nat }.
% 0.46/1.12 { one_one_int = number_number_of_int( bit1( pls ) ) }.
% 0.46/1.12 { number_number_of_int( bit1( pls ) ) = one_one_int }.
% 0.46/1.12 { ord_less_nat( zero_zero_nat, n ) }.
% 0.46/1.12 { ord_less_int( X, Y ), X = Y, ord_less_int( Y, X ) }.
% 0.46/1.12 { ! ord_less_int( number_number_of_int( X ), number_number_of_int( Y ) ),
% 0.46/1.12 ord_less_int( X, Y ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( number_number_of_int( X ),
% 0.46/1.12 number_number_of_int( Y ) ) }.
% 0.46/1.12 { plus_plus_int( number_number_of_int( X ), number_number_of_int( Y ) ) =
% 0.46/1.12 number_number_of_int( plus_plus_int( X, Y ) ) }.
% 0.46/1.12 { ! ord_less_int( number_number_of_int( X ), number_number_of_int( Y ) ),
% 0.46/1.12 ord_less_int( X, Y ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( number_number_of_int( X ),
% 0.46/1.12 number_number_of_int( Y ) ) }.
% 0.46/1.12 { zero_zero_int = number_number_of_int( pls ) }.
% 0.46/1.12 { power_power_int( semiri1621563631at_int( X ), Y ) =
% 0.46/1.12 semiri1621563631at_int( power_power_nat( X, Y ) ) }.
% 0.46/1.12 { semiri1621563631at_int( power_power_nat( X, Y ) ) = power_power_int(
% 0.46/1.12 semiri1621563631at_int( X ), Y ) }.
% 0.46/1.12 { plus_plus_int( semiri1621563631at_int( X ), plus_plus_int(
% 0.46/1.12 semiri1621563631at_int( Y ), Z ) ) = plus_plus_int(
% 0.46/1.12 semiri1621563631at_int( plus_plus_nat( X, Y ) ), Z ) }.
% 0.46/1.12 { plus_plus_int( semiri1621563631at_int( X ), semiri1621563631at_int( Y ) )
% 0.46/1.12 = semiri1621563631at_int( plus_plus_nat( X, Y ) ) }.
% 0.46/1.12 { semiri1621563631at_int( one_one_nat ) = one_one_int }.
% 0.46/1.12 { number_number_of_nat( pls ) = zero_zero_nat }.
% 0.46/1.12 { zero_zero_nat = number_number_of_nat( pls ) }.
% 0.46/1.12 { ! semiri1621563631at_int( X ) = zero_zero_int, X = zero_zero_nat }.
% 0.46/1.12 { ! X = zero_zero_nat, semiri1621563631at_int( X ) = zero_zero_int }.
% 0.46/1.12 { semiri1621563631at_int( zero_zero_nat ) = zero_zero_int }.
% 0.46/1.12 { plus_plus_nat( one_one_nat, one_one_nat ) = number_number_of_nat( bit0(
% 0.46/1.12 bit1( pls ) ) ) }.
% 0.46/1.12 { ! ord_less_int( bit1( X ), bit1( Y ) ), ord_less_int( X, Y ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit1( Y ) ) }.
% 0.46/1.12 { ! ord_less_int( bit1( X ), bit1( Y ) ), ord_less_int( X, Y ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit1( Y ) ) }.
% 0.46/1.12 { ! ord_less_int( pls, pls ) }.
% 0.46/1.12 { ! ord_less_int( bit0( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( bit0( X ), bit0( Y ) ) }.
% 0.46/1.12 { ! ord_less_int( bit0( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( bit0( X ), bit0( Y ) ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( plus_plus_int( X, Z ),
% 0.46/1.12 plus_plus_int( Y, Z ) ) }.
% 0.46/1.12 { ! ord_less_int( Y, pls ), plus_plus_nat( number_number_of_nat( Y ),
% 0.46/1.12 number_number_of_nat( X ) ) = number_number_of_nat( X ) }.
% 0.46/1.12 { ord_less_int( Y, pls ), ! ord_less_int( X, pls ), plus_plus_nat(
% 0.46/1.12 number_number_of_nat( Y ), number_number_of_nat( X ) ) =
% 0.46/1.12 number_number_of_nat( Y ) }.
% 0.46/1.12 { ord_less_int( Y, pls ), ord_less_int( X, pls ), plus_plus_nat(
% 0.46/1.12 number_number_of_nat( Y ), number_number_of_nat( X ) ) =
% 0.46/1.12 number_number_of_nat( plus_plus_int( Y, X ) ) }.
% 0.46/1.12 { one_one_int = number_number_of_int( bit1( pls ) ) }.
% 0.46/1.12 { number_number_of_nat( bit1( pls ) ) = one_one_nat }.
% 0.46/1.12 { one_one_nat = number_number_of_nat( bit1( pls ) ) }.
% 0.46/1.12 { ! number_number_of_int( X ) = number_number_of_int( Y ), X = Y }.
% 0.46/1.12 { ! X = Y, number_number_of_int( X ) = number_number_of_int( Y ) }.
% 0.46/1.12 { ! number_number_of_nat( X ) = Y, Y = number_number_of_nat( X ) }.
% 0.46/1.12 { ! Y = number_number_of_nat( X ), number_number_of_nat( X ) = Y }.
% 0.46/1.12 { ! number_number_of_int( X ) = Y, Y = number_number_of_int( X ) }.
% 0.46/1.12 { ! Y = number_number_of_int( X ), number_number_of_int( X ) = Y }.
% 0.46/1.12 { ! bit1( X ) = bit1( Y ), X = Y }.
% 0.46/1.12 { ! X = Y, bit1( X ) = bit1( Y ) }.
% 0.46/1.12 { ! bit0( X ) = bit0( Y ), X = Y }.
% 0.46/1.12 { ! X = Y, bit0( X ) = bit0( Y ) }.
% 0.46/1.12 { ! ord_less_int( plus_plus_int( X, X ), zero_zero_int ), ord_less_int( X,
% 0.46/1.12 zero_zero_int ) }.
% 0.46/1.12 { ! ord_less_int( X, zero_zero_int ), ord_less_int( plus_plus_int( X, X ),
% 0.46/1.12 zero_zero_int ) }.
% 0.46/1.12 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( X,
% 0.46/1.12 plus_plus_int( Y, Z ) ) }.
% 0.46/1.12 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( Y,
% 0.46/1.12 plus_plus_int( X, Z ) ) }.
% 0.46/1.12 { plus_plus_int( X, Y ) = plus_plus_int( Y, X ) }.
% 0.46/1.12 { ! semiri1621563631at_int( X ) = semiri1621563631at_int( Y ), X = Y }.
% 0.46/1.12 { ! X = Y, semiri1621563631at_int( X ) = semiri1621563631at_int( Y ) }.
% 0.46/1.12 { ! ord_less_int( number_number_of_int( X ), zero_zero_int ), ord_less_int
% 0.46/1.12 ( X, pls ) }.
% 0.46/1.12 { ! ord_less_int( X, pls ), ord_less_int( number_number_of_int( X ),
% 0.46/1.12 zero_zero_int ) }.
% 0.46/1.12 { ! ord_less_int( zero_zero_int, number_number_of_int( X ) ), ord_less_int
% 0.46/1.12 ( pls, X ) }.
% 0.46/1.12 { ! ord_less_int( pls, X ), ord_less_int( zero_zero_int,
% 0.46/1.12 number_number_of_int( X ) ) }.
% 0.46/1.12 { ! ord_less_int( bit1( X ), pls ), ord_less_int( X, pls ) }.
% 0.46/1.12 { ! ord_less_int( X, pls ), ord_less_int( bit1( X ), pls ) }.
% 0.46/1.12 { ! ord_less_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit0( Y ) ) }.
% 0.46/1.12 { ! ord_less_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.46/1.12 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit0( Y ) ) }.
% 0.46/1.12 { ! ord_less_int( bit0( X ), pls ), ord_less_int( X, pls ) }.
% 0.46/1.12 { ! ord_less_int( X, pls ), ord_less_int( bit0( X ), pls ) }.
% 0.46/1.12 { ! ord_less_int( pls, bit0( X ) ), ord_less_int( pls, X ) }.
% 0.46/1.12 { ! ord_less_int( pls, X ), ord_less_int( pls, bit0( X ) ) }.
% 0.46/1.12 { ! ord_less_int( bit1( X ), zero_zero_int ), ord_less_int( X,
% 0.46/1.12 zero_zero_int ) }.
% 0.46/1.12 { ! ord_less_int( X, zero_zero_int ), ord_less_int( bit1( X ),
% 0.46/1.12 zero_zero_int ) }.
% 0.46/1.12 { ! ord_less_int( pls, zero_zero_int ) }.
% 0.83/1.21 { ! ord_less_int( bit0( X ), zero_zero_int ), ord_less_int( X,
% 0.83/1.21 zero_zero_int ) }.
% 0.83/1.21 { ! ord_less_int( X, zero_zero_int ), ord_less_int( bit0( X ),
% 0.83/1.21 zero_zero_int ) }.
% 0.83/1.21 { ord_less_int( zero_zero_int, one_one_int ) }.
% 0.83/1.21 { ! ord_less_int( X, plus_plus_int( Y, one_one_int ) ), ord_less_int( X, Y
% 0.83/1.21 ), X = Y }.
% 0.83/1.21 { ! ord_less_int( X, Y ), ord_less_int( X, plus_plus_int( Y, one_one_int )
% 0.83/1.21 ) }.
% 0.83/1.21 { ! X = Y, ord_less_int( X, plus_plus_int( Y, one_one_int ) ) }.
% 0.83/1.21 { ! ord_less_int( semiri1621563631at_int( X ), zero_zero_int ) }.
% 0.83/1.21 { ! ord_less_int( number_number_of_int( X ), one_one_int ), ord_less_int( X
% 0.83/1.21 , bit1( pls ) ) }.
% 0.83/1.21 { ! ord_less_int( X, bit1( pls ) ), ord_less_int( number_number_of_int( X )
% 0.83/1.21 , one_one_int ) }.
% 0.83/1.21 { ! ord_less_int( one_one_int, number_number_of_int( X ) ), ord_less_int(
% 0.83/1.21 bit1( pls ), X ) }.
% 0.83/1.21 { ! ord_less_int( bit1( pls ), X ), ord_less_int( one_one_int,
% 0.83/1.21 number_number_of_int( X ) ) }.
% 0.83/1.21 { ! ord_less_int( plus_plus_int( plus_plus_int( one_one_int, X ), X ),
% 0.83/1.21 zero_zero_int ), ord_less_int( X, zero_zero_int ) }.
% 0.83/1.21 { ! ord_less_int( X, zero_zero_int ), ord_less_int( plus_plus_int(
% 0.83/1.21 plus_plus_int( one_one_int, X ), X ), zero_zero_int ) }.
% 0.83/1.21 { ! plus_plus_int( X, X ) = zero_zero_int, X = zero_zero_int }.
% 0.83/1.21 { ! X = zero_zero_int, plus_plus_int( X, X ) = zero_zero_int }.
% 0.83/1.21 { ! bit1( X ) = pls }.
% 0.83/1.21 { ! pls = bit1( X ) }.
% 0.83/1.21 { ! bit1( X ) = bit0( Y ) }.
% 0.83/1.21 { ! bit0( X ) = bit1( Y ) }.
% 0.83/1.21 { ! bit0( X ) = pls, X = pls }.
% 0.83/1.21 { ! X = pls, bit0( X ) = pls }.
% 0.83/1.21 { ! pls = bit0( X ), pls = X }.
% 0.83/1.21 { ! pls = X, pls = bit0( X ) }.
% 0.83/1.21 { bit0( pls ) = pls }.
% 0.83/1.21 { pls = zero_zero_int }.
% 0.83/1.21 { ! zero_zero_int = one_one_int }.
% 0.83/1.21 { plus_plus_int( X, pls ) = X }.
% 0.83/1.21 { plus_plus_int( pls, X ) = X }.
% 0.83/1.21 { plus_plus_int( bit0( X ), bit0( Y ) ) = bit0( plus_plus_int( X, Y ) ) }.
% 0.83/1.21 { bit0( X ) = plus_plus_int( X, X ) }.
% 0.83/1.21 { plus_plus_int( X, zero_zero_int ) = X }.
% 0.83/1.21 { plus_plus_int( zero_zero_int, X ) = X }.
% 0.83/1.21 { number_number_of_int( pls ) = zero_zero_int }.
% 0.83/1.21 { number_number_of_nat( pls ) = zero_zero_nat }.
% 0.83/1.21 { number_number_of_int( pls ) = zero_zero_int }.
% 0.83/1.21 { zero_zero_int = number_number_of_int( pls ) }.
% 0.83/1.21 { plus_plus_int( number_number_of_int( pls ), X ) = X }.
% 0.83/1.21 { plus_plus_int( X, number_number_of_int( pls ) ) = X }.
% 0.83/1.21 { ! power_power_int( X, number_number_of_nat( Y ) ) = zero_zero_int, X =
% 0.83/1.21 zero_zero_int }.
% 0.83/1.21 { ! power_power_int( X, number_number_of_nat( Y ) ) = zero_zero_int, !
% 0.83/1.21 number_number_of_nat( Y ) = zero_zero_nat }.
% 0.83/1.21 { ! X = zero_zero_int, number_number_of_nat( Y ) = zero_zero_nat,
% 0.83/1.21 power_power_int( X, number_number_of_nat( Y ) ) = zero_zero_int }.
% 0.83/1.21 { ! power_power_nat( X, number_number_of_nat( Y ) ) = zero_zero_nat, X =
% 0.83/1.21 zero_zero_nat }.
% 0.83/1.21 { ! power_power_nat( X, number_number_of_nat( Y ) ) = zero_zero_nat, !
% 0.83/1.21 number_number_of_nat( Y ) = zero_zero_nat }.
% 0.83/1.21 { ! X = zero_zero_nat, number_number_of_nat( Y ) = zero_zero_nat,
% 0.83/1.21 power_power_nat( X, number_number_of_nat( Y ) ) = zero_zero_nat }.
% 0.83/1.21 { plus_plus_int( number_number_of_int( X ), plus_plus_int(
% 0.83/1.21 number_number_of_int( Y ), Z ) ) = plus_plus_int( number_number_of_int(
% 0.83/1.21 plus_plus_int( X, Y ) ), Z ) }.
% 0.83/1.21 { plus_plus_int( number_number_of_int( X ), number_number_of_int( Y ) ) =
% 0.83/1.21 number_number_of_int( plus_plus_int( X, Y ) ) }.
% 0.83/1.21 { number_number_of_int( plus_plus_int( X, Y ) ) = plus_plus_int(
% 0.83/1.21 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 0.83/1.21 { plus_plus_int( bit1( X ), bit0( Y ) ) = bit1( plus_plus_int( X, Y ) ) }.
% 0.83/1.21 { plus_plus_int( bit0( X ), bit1( Y ) ) = bit1( plus_plus_int( X, Y ) ) }.
% 0.83/1.21 { bit1( X ) = plus_plus_int( plus_plus_int( one_one_int, X ), X ) }.
% 0.83/1.21 { ! plus_plus_int( plus_plus_int( one_one_int, X ), X ) = zero_zero_int }.
% 0.83/1.21 { number_number_of_nat( semiri1621563631at_int( X ) ) =
% 0.83/1.21 semiri984289939at_nat( X ) }.
% 0.83/1.21 { number_number_of_int( semiri1621563631at_int( X ) ) =
% 0.83/1.21 semiri1621563631at_int( X ) }.
% 0.83/1.21 { ! ord_less_int( zero_zero_int, power_power_int( X, number_number_of_nat(
% 0.83/1.21 bit0( bit1( pls ) ) ) ) ), ! X = zero_zero_int }.
% 0.83/1.21 { X = zero_zero_int, ord_less_int( zero_zero_int, power_power_int( X,
% 0.83/1.21 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) }.
% 0.83/1.21 { ! ord_less_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 1.47/1.90 ) ) ) ), zero_zero_int ) }.
% 1.47/1.90 { ! ord_less_int( zero_zero_int, plus_plus_int( power_power_int( X,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ), ! X = zero_zero_int, !
% 1.47/1.90 Y = zero_zero_int }.
% 1.47/1.90 { X = zero_zero_int, ord_less_int( zero_zero_int, plus_plus_int(
% 1.47/1.90 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 1.47/1.90 power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ) }.
% 1.47/1.90 { Y = zero_zero_int, ord_less_int( zero_zero_int, plus_plus_int(
% 1.47/1.90 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 1.47/1.90 power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ) }.
% 1.47/1.90 { power_power_int( plus_plus_int( one_one_int, semiri1621563631at_int( n )
% 1.47/1.90 ), number_number_of_nat( bit0( bit1( pls ) ) ) ) = zero_zero_int }.
% 1.47/1.90
% 1.47/1.90 percentage equality = 0.609865, percentage horn = 0.919708
% 1.47/1.90 This is a problem with some equality
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Options Used:
% 1.47/1.90
% 1.47/1.90 useres = 1
% 1.47/1.90 useparamod = 1
% 1.47/1.90 useeqrefl = 1
% 1.47/1.90 useeqfact = 1
% 1.47/1.90 usefactor = 1
% 1.47/1.90 usesimpsplitting = 0
% 1.47/1.90 usesimpdemod = 5
% 1.47/1.90 usesimpres = 3
% 1.47/1.90
% 1.47/1.90 resimpinuse = 1000
% 1.47/1.90 resimpclauses = 20000
% 1.47/1.90 substype = eqrewr
% 1.47/1.90 backwardsubs = 1
% 1.47/1.90 selectoldest = 5
% 1.47/1.90
% 1.47/1.90 litorderings [0] = split
% 1.47/1.90 litorderings [1] = extend the termordering, first sorting on arguments
% 1.47/1.90
% 1.47/1.90 termordering = kbo
% 1.47/1.90
% 1.47/1.90 litapriori = 0
% 1.47/1.90 termapriori = 1
% 1.47/1.90 litaposteriori = 0
% 1.47/1.90 termaposteriori = 0
% 1.47/1.90 demodaposteriori = 0
% 1.47/1.90 ordereqreflfact = 0
% 1.47/1.90
% 1.47/1.90 litselect = negord
% 1.47/1.90
% 1.47/1.90 maxweight = 15
% 1.47/1.90 maxdepth = 30000
% 1.47/1.90 maxlength = 115
% 1.47/1.90 maxnrvars = 195
% 1.47/1.90 excuselevel = 1
% 1.47/1.90 increasemaxweight = 1
% 1.47/1.90
% 1.47/1.90 maxselected = 10000000
% 1.47/1.90 maxnrclauses = 10000000
% 1.47/1.90
% 1.47/1.90 showgenerated = 0
% 1.47/1.90 showkept = 0
% 1.47/1.90 showselected = 0
% 1.47/1.90 showdeleted = 0
% 1.47/1.90 showresimp = 1
% 1.47/1.90 showstatus = 2000
% 1.47/1.90
% 1.47/1.90 prologoutput = 0
% 1.47/1.90 nrgoals = 5000000
% 1.47/1.90 totalproof = 1
% 1.47/1.90
% 1.47/1.90 Symbols occurring in the translation:
% 1.47/1.90
% 1.47/1.90 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.47/1.90 . [1, 2] (w:1, o:64, a:1, s:1, b:0),
% 1.47/1.90 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 1.47/1.90 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.90 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.47/1.90 zero_zero_int [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.47/1.90 one_one_int [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.47/1.90 n [37, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.47/1.90 semiri1621563631at_int [38, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.47/1.90 plus_plus_int [39, 2] (w:1, o:90, a:1, s:1, b:0),
% 1.47/1.90 ord_less_int [40, 2] (w:1, o:88, a:1, s:1, b:0),
% 1.47/1.90 t [41, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.47/1.90 pls [44, 0] (w:1, o:27, a:1, s:1, b:0),
% 1.47/1.90 bit1 [45, 1] (w:1, o:60, a:1, s:1, b:0),
% 1.47/1.90 bit0 [46, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.47/1.90 number_number_of_nat [47, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.47/1.90 power_power_int [48, 2] (w:1, o:91, a:1, s:1, b:0),
% 1.47/1.90 one_one_nat [49, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.47/1.90 power_power_nat [50, 2] (w:1, o:92, a:1, s:1, b:0),
% 1.47/1.90 zero_zero_nat [51, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.47/1.90 number_number_of_int [54, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.47/1.90 plus_plus_nat [56, 2] (w:1, o:93, a:1, s:1, b:0),
% 1.47/1.90 ord_less_nat [59, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.47/1.90 semiri984289939at_nat [92, 1] (w:1, o:63, a:1, s:1, b:0).
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Starting Search:
% 1.47/1.90
% 1.47/1.90 *** allocated 15000 integers for clauses
% 1.47/1.90 *** allocated 22500 integers for clauses
% 1.47/1.90 *** allocated 33750 integers for clauses
% 1.47/1.90 *** allocated 50625 integers for clauses
% 1.47/1.90 *** allocated 15000 integers for termspace/termends
% 1.47/1.90 *** allocated 75937 integers for clauses
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90 *** allocated 22500 integers for termspace/termends
% 1.47/1.90 *** allocated 113905 integers for clauses
% 1.47/1.90 *** allocated 33750 integers for termspace/termends
% 1.47/1.90
% 1.47/1.90 Intermediate Status:
% 1.47/1.90 Generated: 5126
% 1.47/1.90 Kept: 2046
% 1.47/1.90 Inuse: 153
% 1.47/1.90 Deleted: 42
% 1.47/1.90 Deletedinuse: 4
% 1.47/1.90
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90 *** allocated 170857 integers for clauses
% 1.47/1.90 *** allocated 50625 integers for termspace/termends
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90 *** allocated 256285 integers for clauses
% 1.47/1.90
% 1.47/1.90 Intermediate Status:
% 1.47/1.90 Generated: 10381
% 1.47/1.90 Kept: 4093
% 1.47/1.90 Inuse: 173
% 1.47/1.90 Deleted: 44
% 1.47/1.90 Deletedinuse: 6
% 1.47/1.90
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90 *** allocated 75937 integers for termspace/termends
% 1.47/1.90 *** allocated 384427 integers for clauses
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Intermediate Status:
% 1.47/1.90 Generated: 18146
% 1.47/1.90 Kept: 6103
% 1.47/1.90 Inuse: 225
% 1.47/1.90 Deleted: 61
% 1.47/1.90 Deletedinuse: 6
% 1.47/1.90
% 1.47/1.90 *** allocated 113905 integers for termspace/termends
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90 *** allocated 576640 integers for clauses
% 1.47/1.90
% 1.47/1.90 Intermediate Status:
% 1.47/1.90 Generated: 23174
% 1.47/1.90 Kept: 8367
% 1.47/1.90 Inuse: 255
% 1.47/1.90 Deleted: 67
% 1.47/1.90 Deletedinuse: 6
% 1.47/1.90
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90 *** allocated 170857 integers for termspace/termends
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Intermediate Status:
% 1.47/1.90 Generated: 28600
% 1.47/1.90 Kept: 10393
% 1.47/1.90 Inuse: 303
% 1.47/1.90 Deleted: 76
% 1.47/1.90 Deletedinuse: 6
% 1.47/1.90
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90 *** allocated 864960 integers for clauses
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Intermediate Status:
% 1.47/1.90 Generated: 33267
% 1.47/1.90 Kept: 12433
% 1.47/1.90 Inuse: 328
% 1.47/1.90 Deleted: 78
% 1.47/1.90 Deletedinuse: 8
% 1.47/1.90
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90 *** allocated 256285 integers for termspace/termends
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Intermediate Status:
% 1.47/1.90 Generated: 42800
% 1.47/1.90 Kept: 14475
% 1.47/1.90 Inuse: 365
% 1.47/1.90 Deleted: 84
% 1.47/1.90 Deletedinuse: 11
% 1.47/1.90
% 1.47/1.90 Resimplifying inuse:
% 1.47/1.90 Done
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Bliksems!, er is een bewijs:
% 1.47/1.90 % SZS status Theorem
% 1.47/1.90 % SZS output start Refutation
% 1.47/1.90
% 1.47/1.90 (0) {G0,W6,D4,L1,V0,M1} I { ord_less_int( zero_zero_int, plus_plus_int(
% 1.47/1.90 one_one_int, semiri1621563631at_int( n ) ) ) }.
% 1.47/1.90 (2) {G0,W18,D7,L2,V2,M2} I { ! plus_plus_int( power_power_int( X,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ==> zero_zero_int, X =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (7) {G0,W8,D6,L1,V0,M1} I { power_power_int( zero_zero_int,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ==> zero_zero_int }.
% 1.47/1.90 (10) {G0,W11,D6,L2,V1,M2} I { ! X = zero_zero_int, power_power_int( X,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ==> zero_zero_int }.
% 1.47/1.90 (14) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1( pls ) ) )
% 1.47/1.90 ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 1.47/1.90 (26) {G0,W4,D3,L1,V0,M1} I { number_number_of_int( pls ) ==> zero_zero_int
% 1.47/1.90 }.
% 1.47/1.90 (27) {G0,W9,D4,L1,V2,M1} I { power_power_int( semiri1621563631at_int( X ),
% 1.47/1.90 Y ) ==> semiri1621563631at_int( power_power_nat( X, Y ) ) }.
% 1.47/1.90 (29) {G0,W10,D4,L1,V2,M1} I { plus_plus_int( semiri1621563631at_int( X ),
% 1.47/1.90 semiri1621563631at_int( Y ) ) ==> semiri1621563631at_int( plus_plus_nat(
% 1.47/1.90 X, Y ) ) }.
% 1.47/1.90 (30) {G0,W4,D3,L1,V0,M1} I { semiri1621563631at_int( one_one_nat ) ==>
% 1.47/1.90 one_one_int }.
% 1.47/1.90 (32) {G0,W7,D3,L2,V1,M2} I { ! semiri1621563631at_int( X ) ==>
% 1.47/1.90 zero_zero_int, X = zero_zero_nat }.
% 1.47/1.90 (34) {G0,W4,D3,L1,V0,M1} I { semiri1621563631at_int( zero_zero_nat ) ==>
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (48) {G0,W8,D3,L2,V2,M2} I { ! number_number_of_int( X ) = Y, Y =
% 1.47/1.90 number_number_of_int( X ) }.
% 1.47/1.90 (76) {G0,W7,D3,L2,V1,M2} I { ! ord_less_int( X, zero_zero_int ),
% 1.47/1.90 ord_less_int( bit0( X ), zero_zero_int ) }.
% 1.47/1.90 (77) {G0,W3,D2,L1,V0,M1} I { ord_less_int( zero_zero_int, one_one_int ) }.
% 1.47/1.90 (78) {G0,W11,D3,L3,V2,M3} I { ! ord_less_int( X, plus_plus_int( Y,
% 1.47/1.90 one_one_int ) ), ord_less_int( X, Y ), X = Y }.
% 1.47/1.90 (81) {G0,W4,D3,L1,V1,M1} I { ! ord_less_int( semiri1621563631at_int( X ),
% 1.47/1.90 zero_zero_int ) }.
% 1.47/1.90 (93) {G0,W7,D3,L2,V1,M2} I { ! X = pls, bit0( X ) ==> pls }.
% 1.47/1.90 (95) {G0,W3,D2,L1,V0,M1} I { pls ==> zero_zero_int }.
% 1.47/1.90 (98) {G1,W5,D3,L1,V1,M1} I;d(95) { plus_plus_int( zero_zero_int, X ) ==> X
% 1.47/1.90 }.
% 1.47/1.90 (113) {G1,W6,D2,L2,V1,M2} I;d(10) { ! X = zero_zero_int, ! ord_less_int(
% 1.47/1.90 zero_zero_int, zero_zero_int ) }.
% 1.47/1.90 (118) {G1,W10,D5,L1,V0,M1} I;d(14) { power_power_int( plus_plus_int(
% 1.47/1.90 one_one_int, semiri1621563631at_int( n ) ), plus_plus_nat( one_one_nat,
% 1.47/1.90 one_one_nat ) ) ==> zero_zero_int }.
% 1.47/1.90 (123) {G2,W3,D2,L1,V0,M1} Q(113) { ! ord_less_int( zero_zero_int,
% 1.47/1.90 zero_zero_int ) }.
% 1.47/1.90 (124) {G1,W16,D5,L2,V2,M2} S(2);d(14) { X = zero_zero_int, ! plus_plus_int
% 1.47/1.90 ( power_power_int( X, plus_plus_nat( one_one_nat, one_one_nat ) ),
% 1.47/1.90 power_power_int( Y, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (128) {G1,W4,D3,L1,V0,M1} S(26);d(95) { number_number_of_int( zero_zero_int
% 1.47/1.90 ) ==> zero_zero_int }.
% 1.47/1.90 (133) {G1,W7,D4,L1,V0,M1} S(7);d(14) { power_power_int( zero_zero_int,
% 1.47/1.90 plus_plus_nat( one_one_nat, one_one_nat ) ) ==> zero_zero_int }.
% 1.47/1.90 (141) {G1,W7,D3,L2,V1,M2} S(93);d(95);d(95) { ! X = zero_zero_int, bit0( X
% 1.47/1.90 ) ==> zero_zero_int }.
% 1.47/1.90 (208) {G3,W6,D2,L2,V1,M2} P(141,76);r(123) { ! ord_less_int( X,
% 1.47/1.90 zero_zero_int ), ! X = zero_zero_int }.
% 1.47/1.90 (686) {G1,W9,D4,L1,V1,M1} P(30,29) { plus_plus_int( one_one_int,
% 1.47/1.90 semiri1621563631at_int( X ) ) ==> semiri1621563631at_int( plus_plus_nat(
% 1.47/1.90 one_one_nat, X ) ) }.
% 1.47/1.90 (1002) {G2,W6,D4,L1,V0,M1} S(0);d(686) { ord_less_int( zero_zero_int,
% 1.47/1.90 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) ) }.
% 1.47/1.90 (2055) {G3,W6,D4,L1,V0,M1} P(32,1002);d(34);r(123) { !
% 1.47/1.90 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) ==>
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (3343) {G2,W6,D2,L2,V1,M2} P(128,48) { ! zero_zero_int = X, X =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (4753) {G4,W9,D2,L3,V2,M3} P(3343,208) { ! ord_less_int( Y, X ), ! Y = X, !
% 1.47/1.90 zero_zero_int = X }.
% 1.47/1.90 (4764) {G3,W8,D3,L2,V2,M2} P(3343,98) { plus_plus_int( X, Y ) ==> Y, !
% 1.47/1.90 zero_zero_int = X }.
% 1.47/1.90 (7237) {G2,W8,D3,L2,V1,M2} R(78,81);d(98) { semiri1621563631at_int( X ) ==>
% 1.47/1.90 zero_zero_int, ! ord_less_int( semiri1621563631at_int( X ), one_one_int
% 1.47/1.90 ) }.
% 1.47/1.90 (7610) {G5,W9,D4,L2,V1,M2} P(78,2055);d(4764);d(7237);r(4753) { ! X =
% 1.47/1.90 zero_zero_int, ! ord_less_int( semiri1621563631at_int( plus_plus_nat(
% 1.47/1.90 one_one_nat, n ) ), one_one_int ) }.
% 1.47/1.90 (8328) {G6,W6,D4,L1,V0,M1} Q(7610) { ! ord_less_int( semiri1621563631at_int
% 1.47/1.90 ( plus_plus_nat( one_one_nat, n ) ), one_one_int ) }.
% 1.47/1.90 (14475) {G2,W10,D5,L1,V0,M1} S(118);d(686);d(27) { semiri1621563631at_int(
% 1.47/1.90 power_power_nat( plus_plus_nat( one_one_nat, n ), plus_plus_nat(
% 1.47/1.90 one_one_nat, one_one_nat ) ) ) ==> zero_zero_int }.
% 1.47/1.90 (15100) {G7,W7,D4,L1,V1,M1} P(124,8328);d(27);d(14475);d(98);r(77) { !
% 1.47/1.90 power_power_int( X, plus_plus_nat( one_one_nat, one_one_nat ) ) ==>
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (16020) {G8,W0,D0,L0,V0,M0} S(133);r(15100) { }.
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 % SZS output end Refutation
% 1.47/1.90 found a proof!
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Unprocessed initial clauses:
% 1.47/1.90
% 1.47/1.90 (16022) {G0,W6,D4,L1,V0,M1} { ord_less_int( zero_zero_int, plus_plus_int(
% 1.47/1.90 one_one_int, semiri1621563631at_int( n ) ) ) }.
% 1.47/1.90 (16023) {G0,W3,D2,L1,V0,M1} { ord_less_int( one_one_int, t ) }.
% 1.47/1.90 (16024) {G0,W18,D7,L2,V2,M2} { ! plus_plus_int( power_power_int( X,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = zero_zero_int, X =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (16025) {G0,W18,D7,L2,V2,M2} { ! plus_plus_int( power_power_int( X,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = zero_zero_int, Y =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (16026) {G0,W21,D7,L3,V2,M3} { ! X = zero_zero_int, ! Y = zero_zero_int,
% 1.47/1.90 plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 1.47/1.90 ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) )
% 1.47/1.90 ) ) = zero_zero_int }.
% 1.47/1.90 (16027) {G0,W8,D6,L1,V0,M1} { power_power_int( one_one_int,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) = one_one_int }.
% 1.47/1.90 (16028) {G0,W8,D6,L1,V0,M1} { power_power_nat( one_one_nat,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) = one_one_nat }.
% 1.47/1.90 (16029) {G0,W8,D6,L1,V0,M1} { power_power_int( zero_zero_int,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) = zero_zero_int }.
% 1.47/1.90 (16030) {G0,W8,D6,L1,V0,M1} { power_power_nat( zero_zero_nat,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) = zero_zero_nat }.
% 1.47/1.90 (16031) {G0,W11,D6,L2,V1,M2} { ! power_power_int( X, number_number_of_nat
% 1.47/1.90 ( bit0( bit1( pls ) ) ) ) = zero_zero_int, X = zero_zero_int }.
% 1.47/1.90 (16032) {G0,W11,D6,L2,V1,M2} { ! X = zero_zero_int, power_power_int( X,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) = zero_zero_int }.
% 1.47/1.90 (16033) {G0,W10,D5,L1,V1,M1} { plus_plus_int( one_one_int,
% 1.47/1.90 number_number_of_int( X ) ) = number_number_of_int( plus_plus_int( bit1(
% 1.47/1.90 pls ), X ) ) }.
% 1.47/1.90 (16034) {G0,W10,D5,L1,V1,M1} { plus_plus_int( number_number_of_int( X ),
% 1.47/1.90 one_one_int ) = number_number_of_int( plus_plus_int( X, bit1( pls ) ) )
% 1.47/1.90 }.
% 1.47/1.90 (16035) {G0,W8,D5,L1,V0,M1} { plus_plus_int( one_one_int, one_one_int ) =
% 1.47/1.90 number_number_of_int( bit0( bit1( pls ) ) ) }.
% 1.47/1.90 (16036) {G0,W8,D5,L1,V0,M1} { plus_plus_int( one_one_int, one_one_int ) =
% 1.47/1.90 number_number_of_int( bit0( bit1( pls ) ) ) }.
% 1.47/1.90 (16037) {G0,W8,D5,L1,V0,M1} { plus_plus_nat( one_one_nat, one_one_nat ) =
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) }.
% 1.47/1.90 (16038) {G0,W19,D7,L1,V1,M1} { power_power_int( power_power_int( X,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ), number_number_of_nat( bit0
% 1.47/1.90 ( bit1( pls ) ) ) ) = power_power_int( X, number_number_of_nat( bit0(
% 1.47/1.90 bit0( bit1( pls ) ) ) ) ) }.
% 1.47/1.90 (16039) {G0,W10,D4,L2,V1,M2} { ! number_number_of_nat( X ) = zero_zero_nat
% 1.47/1.90 , power_power_int( zero_zero_int, number_number_of_nat( X ) ) =
% 1.47/1.90 one_one_int }.
% 1.47/1.90 (16040) {G0,W10,D4,L2,V1,M2} { number_number_of_nat( X ) = zero_zero_nat,
% 1.47/1.90 power_power_int( zero_zero_int, number_number_of_nat( X ) ) =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (16041) {G0,W10,D4,L2,V1,M2} { ! number_number_of_nat( X ) = zero_zero_nat
% 1.47/1.90 , power_power_nat( zero_zero_nat, number_number_of_nat( X ) ) =
% 1.47/1.90 one_one_nat }.
% 1.47/1.90 (16042) {G0,W10,D4,L2,V1,M2} { number_number_of_nat( X ) = zero_zero_nat,
% 1.47/1.90 power_power_nat( zero_zero_nat, number_number_of_nat( X ) ) =
% 1.47/1.90 zero_zero_nat }.
% 1.47/1.90 (16043) {G0,W5,D4,L1,V0,M1} { one_one_int = number_number_of_int( bit1(
% 1.47/1.90 pls ) ) }.
% 1.47/1.90 (16044) {G0,W5,D4,L1,V0,M1} { number_number_of_int( bit1( pls ) ) =
% 1.47/1.90 one_one_int }.
% 1.47/1.90 (16045) {G0,W3,D2,L1,V0,M1} { ord_less_nat( zero_zero_nat, n ) }.
% 1.47/1.90 (16046) {G0,W9,D2,L3,V2,M3} { ord_less_int( X, Y ), X = Y, ord_less_int( Y
% 1.47/1.90 , X ) }.
% 1.47/1.90 (16047) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( number_number_of_int( X ),
% 1.47/1.90 number_number_of_int( Y ) ), ord_less_int( X, Y ) }.
% 1.47/1.90 (16048) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int(
% 1.47/1.90 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 1.47/1.90 (16049) {G0,W10,D4,L1,V2,M1} { plus_plus_int( number_number_of_int( X ),
% 1.47/1.90 number_number_of_int( Y ) ) = number_number_of_int( plus_plus_int( X, Y )
% 1.47/1.90 ) }.
% 1.47/1.90 (16050) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( number_number_of_int( X ),
% 1.47/1.90 number_number_of_int( Y ) ), ord_less_int( X, Y ) }.
% 1.47/1.90 (16051) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int(
% 1.47/1.90 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 1.47/1.90 (16052) {G0,W4,D3,L1,V0,M1} { zero_zero_int = number_number_of_int( pls )
% 1.47/1.90 }.
% 1.47/1.90 (16053) {G0,W9,D4,L1,V2,M1} { power_power_int( semiri1621563631at_int( X )
% 1.47/1.90 , Y ) = semiri1621563631at_int( power_power_nat( X, Y ) ) }.
% 1.47/1.90 (16054) {G0,W9,D4,L1,V2,M1} { semiri1621563631at_int( power_power_nat( X,
% 1.47/1.90 Y ) ) = power_power_int( semiri1621563631at_int( X ), Y ) }.
% 1.47/1.90 (16055) {G0,W14,D5,L1,V3,M1} { plus_plus_int( semiri1621563631at_int( X )
% 1.47/1.90 , plus_plus_int( semiri1621563631at_int( Y ), Z ) ) = plus_plus_int(
% 1.47/1.90 semiri1621563631at_int( plus_plus_nat( X, Y ) ), Z ) }.
% 1.47/1.90 (16056) {G0,W10,D4,L1,V2,M1} { plus_plus_int( semiri1621563631at_int( X )
% 1.47/1.90 , semiri1621563631at_int( Y ) ) = semiri1621563631at_int( plus_plus_nat(
% 1.47/1.90 X, Y ) ) }.
% 1.47/1.90 (16057) {G0,W4,D3,L1,V0,M1} { semiri1621563631at_int( one_one_nat ) =
% 1.47/1.90 one_one_int }.
% 1.47/1.90 (16058) {G0,W4,D3,L1,V0,M1} { number_number_of_nat( pls ) = zero_zero_nat
% 1.47/1.90 }.
% 1.47/1.90 (16059) {G0,W4,D3,L1,V0,M1} { zero_zero_nat = number_number_of_nat( pls )
% 1.47/1.90 }.
% 1.47/1.90 (16060) {G0,W7,D3,L2,V1,M2} { ! semiri1621563631at_int( X ) =
% 1.47/1.90 zero_zero_int, X = zero_zero_nat }.
% 1.47/1.90 (16061) {G0,W7,D3,L2,V1,M2} { ! X = zero_zero_nat, semiri1621563631at_int
% 1.47/1.90 ( X ) = zero_zero_int }.
% 1.47/1.90 (16062) {G0,W4,D3,L1,V0,M1} { semiri1621563631at_int( zero_zero_nat ) =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (16063) {G0,W8,D5,L1,V0,M1} { plus_plus_nat( one_one_nat, one_one_nat ) =
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) }.
% 1.47/1.90 (16064) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit1( X ), bit1( Y ) ),
% 1.47/1.90 ord_less_int( X, Y ) }.
% 1.47/1.90 (16065) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit1(
% 1.47/1.90 X ), bit1( Y ) ) }.
% 1.47/1.90 (16066) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit1( X ), bit1( Y ) ),
% 1.47/1.90 ord_less_int( X, Y ) }.
% 1.47/1.90 (16067) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit1(
% 1.47/1.90 X ), bit1( Y ) ) }.
% 1.47/1.90 (16068) {G0,W3,D2,L1,V0,M1} { ! ord_less_int( pls, pls ) }.
% 1.47/1.90 (16069) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit0( X ), bit0( Y ) ),
% 1.47/1.90 ord_less_int( X, Y ) }.
% 1.47/1.90 (16070) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit0(
% 1.47/1.90 X ), bit0( Y ) ) }.
% 1.47/1.90 (16071) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit0( X ), bit0( Y ) ),
% 1.47/1.90 ord_less_int( X, Y ) }.
% 1.47/1.90 (16072) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit0(
% 1.47/1.90 X ), bit0( Y ) ) }.
% 1.47/1.90 (16073) {G0,W10,D3,L2,V3,M2} { ! ord_less_int( X, Y ), ord_less_int(
% 1.47/1.90 plus_plus_int( X, Z ), plus_plus_int( Y, Z ) ) }.
% 1.47/1.90 (16074) {G0,W11,D4,L2,V2,M2} { ! ord_less_int( Y, pls ), plus_plus_nat(
% 1.47/1.90 number_number_of_nat( Y ), number_number_of_nat( X ) ) =
% 1.47/1.90 number_number_of_nat( X ) }.
% 1.47/1.90 (16075) {G0,W14,D4,L3,V2,M3} { ord_less_int( Y, pls ), ! ord_less_int( X,
% 1.47/1.90 pls ), plus_plus_nat( number_number_of_nat( Y ), number_number_of_nat( X
% 1.47/1.90 ) ) = number_number_of_nat( Y ) }.
% 1.47/1.90 (16076) {G0,W16,D4,L3,V2,M3} { ord_less_int( Y, pls ), ord_less_int( X,
% 1.47/1.90 pls ), plus_plus_nat( number_number_of_nat( Y ), number_number_of_nat( X
% 1.47/1.90 ) ) = number_number_of_nat( plus_plus_int( Y, X ) ) }.
% 1.47/1.90 (16077) {G0,W5,D4,L1,V0,M1} { one_one_int = number_number_of_int( bit1(
% 1.47/1.90 pls ) ) }.
% 1.47/1.90 (16078) {G0,W5,D4,L1,V0,M1} { number_number_of_nat( bit1( pls ) ) =
% 1.47/1.90 one_one_nat }.
% 1.47/1.90 (16079) {G0,W5,D4,L1,V0,M1} { one_one_nat = number_number_of_nat( bit1(
% 1.47/1.90 pls ) ) }.
% 1.47/1.90 (16080) {G0,W8,D3,L2,V2,M2} { ! number_number_of_int( X ) =
% 1.47/1.90 number_number_of_int( Y ), X = Y }.
% 1.47/1.90 (16081) {G0,W8,D3,L2,V2,M2} { ! X = Y, number_number_of_int( X ) =
% 1.47/1.90 number_number_of_int( Y ) }.
% 1.47/1.90 (16082) {G0,W8,D3,L2,V2,M2} { ! number_number_of_nat( X ) = Y, Y =
% 1.47/1.90 number_number_of_nat( X ) }.
% 1.47/1.90 (16083) {G0,W8,D3,L2,V2,M2} { ! Y = number_number_of_nat( X ),
% 1.47/1.90 number_number_of_nat( X ) = Y }.
% 1.47/1.90 (16084) {G0,W8,D3,L2,V2,M2} { ! number_number_of_int( X ) = Y, Y =
% 1.47/1.90 number_number_of_int( X ) }.
% 1.47/1.90 (16085) {G0,W8,D3,L2,V2,M2} { ! Y = number_number_of_int( X ),
% 1.47/1.90 number_number_of_int( X ) = Y }.
% 1.47/1.90 (16086) {G0,W8,D3,L2,V2,M2} { ! bit1( X ) = bit1( Y ), X = Y }.
% 1.47/1.90 (16087) {G0,W8,D3,L2,V2,M2} { ! X = Y, bit1( X ) = bit1( Y ) }.
% 1.47/1.90 (16088) {G0,W8,D3,L2,V2,M2} { ! bit0( X ) = bit0( Y ), X = Y }.
% 1.47/1.90 (16089) {G0,W8,D3,L2,V2,M2} { ! X = Y, bit0( X ) = bit0( Y ) }.
% 1.47/1.90 (16090) {G0,W8,D3,L2,V1,M2} { ! ord_less_int( plus_plus_int( X, X ),
% 1.47/1.90 zero_zero_int ), ord_less_int( X, zero_zero_int ) }.
% 1.47/1.90 (16091) {G0,W8,D3,L2,V1,M2} { ! ord_less_int( X, zero_zero_int ),
% 1.47/1.90 ord_less_int( plus_plus_int( X, X ), zero_zero_int ) }.
% 1.47/1.90 (16092) {G0,W11,D4,L1,V3,M1} { plus_plus_int( plus_plus_int( X, Y ), Z ) =
% 1.47/1.90 plus_plus_int( X, plus_plus_int( Y, Z ) ) }.
% 1.47/1.90 (16093) {G0,W11,D4,L1,V3,M1} { plus_plus_int( X, plus_plus_int( Y, Z ) ) =
% 1.47/1.90 plus_plus_int( Y, plus_plus_int( X, Z ) ) }.
% 1.47/1.90 (16094) {G0,W7,D3,L1,V2,M1} { plus_plus_int( X, Y ) = plus_plus_int( Y, X
% 1.47/1.90 ) }.
% 1.47/1.90 (16095) {G0,W8,D3,L2,V2,M2} { ! semiri1621563631at_int( X ) =
% 1.47/1.90 semiri1621563631at_int( Y ), X = Y }.
% 1.47/1.90 (16096) {G0,W8,D3,L2,V2,M2} { ! X = Y, semiri1621563631at_int( X ) =
% 1.47/1.90 semiri1621563631at_int( Y ) }.
% 1.47/1.90 (16097) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( number_number_of_int( X ),
% 1.47/1.90 zero_zero_int ), ord_less_int( X, pls ) }.
% 1.47/1.90 (16098) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, pls ), ord_less_int(
% 1.47/1.90 number_number_of_int( X ), zero_zero_int ) }.
% 1.47/1.90 (16099) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( zero_zero_int,
% 1.47/1.90 number_number_of_int( X ) ), ord_less_int( pls, X ) }.
% 1.47/1.90 (16100) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( pls, X ), ord_less_int(
% 1.47/1.90 zero_zero_int, number_number_of_int( X ) ) }.
% 1.47/1.90 (16101) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( bit1( X ), pls ),
% 1.47/1.90 ord_less_int( X, pls ) }.
% 1.47/1.90 (16102) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, pls ), ord_less_int( bit1
% 1.47/1.90 ( X ), pls ) }.
% 1.47/1.90 (16103) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit1( X ), bit0( Y ) ),
% 1.47/1.90 ord_less_int( X, Y ) }.
% 1.47/1.90 (16104) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit1(
% 1.47/1.90 X ), bit0( Y ) ) }.
% 1.47/1.90 (16105) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit1( X ), bit0( Y ) ),
% 1.47/1.90 ord_less_int( X, Y ) }.
% 1.47/1.90 (16106) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit1(
% 1.47/1.90 X ), bit0( Y ) ) }.
% 1.47/1.90 (16107) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( bit0( X ), pls ),
% 1.47/1.90 ord_less_int( X, pls ) }.
% 1.47/1.90 (16108) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, pls ), ord_less_int( bit0
% 1.47/1.90 ( X ), pls ) }.
% 1.47/1.90 (16109) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( pls, bit0( X ) ),
% 1.47/1.90 ord_less_int( pls, X ) }.
% 1.47/1.90 (16110) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( pls, X ), ord_less_int( pls
% 1.47/1.90 , bit0( X ) ) }.
% 1.47/1.90 (16111) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( bit1( X ), zero_zero_int ),
% 1.47/1.90 ord_less_int( X, zero_zero_int ) }.
% 1.47/1.90 (16112) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, zero_zero_int ),
% 1.47/1.90 ord_less_int( bit1( X ), zero_zero_int ) }.
% 1.47/1.90 (16113) {G0,W3,D2,L1,V0,M1} { ! ord_less_int( pls, zero_zero_int ) }.
% 1.47/1.90 (16114) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( bit0( X ), zero_zero_int ),
% 1.47/1.90 ord_less_int( X, zero_zero_int ) }.
% 1.47/1.90 (16115) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, zero_zero_int ),
% 1.47/1.90 ord_less_int( bit0( X ), zero_zero_int ) }.
% 1.47/1.90 (16116) {G0,W3,D2,L1,V0,M1} { ord_less_int( zero_zero_int, one_one_int )
% 1.47/1.90 }.
% 1.47/1.90 (16117) {G0,W11,D3,L3,V2,M3} { ! ord_less_int( X, plus_plus_int( Y,
% 1.47/1.90 one_one_int ) ), ord_less_int( X, Y ), X = Y }.
% 1.47/1.90 (16118) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( X,
% 1.47/1.90 plus_plus_int( Y, one_one_int ) ) }.
% 1.47/1.90 (16119) {G0,W8,D3,L2,V2,M2} { ! X = Y, ord_less_int( X, plus_plus_int( Y,
% 1.47/1.90 one_one_int ) ) }.
% 1.47/1.90 (16120) {G0,W4,D3,L1,V1,M1} { ! ord_less_int( semiri1621563631at_int( X )
% 1.47/1.90 , zero_zero_int ) }.
% 1.47/1.90 (16121) {G0,W8,D3,L2,V1,M2} { ! ord_less_int( number_number_of_int( X ),
% 1.47/1.90 one_one_int ), ord_less_int( X, bit1( pls ) ) }.
% 1.47/1.90 (16122) {G0,W8,D3,L2,V1,M2} { ! ord_less_int( X, bit1( pls ) ),
% 1.47/1.90 ord_less_int( number_number_of_int( X ), one_one_int ) }.
% 1.47/1.90 (16123) {G0,W8,D3,L2,V1,M2} { ! ord_less_int( one_one_int,
% 1.47/1.90 number_number_of_int( X ) ), ord_less_int( bit1( pls ), X ) }.
% 1.47/1.90 (16124) {G0,W8,D3,L2,V1,M2} { ! ord_less_int( bit1( pls ), X ),
% 1.47/1.90 ord_less_int( one_one_int, number_number_of_int( X ) ) }.
% 1.47/1.90 (16125) {G0,W10,D4,L2,V1,M2} { ! ord_less_int( plus_plus_int(
% 1.47/1.90 plus_plus_int( one_one_int, X ), X ), zero_zero_int ), ord_less_int( X,
% 1.47/1.90 zero_zero_int ) }.
% 1.47/1.90 (16126) {G0,W10,D4,L2,V1,M2} { ! ord_less_int( X, zero_zero_int ),
% 1.47/1.90 ord_less_int( plus_plus_int( plus_plus_int( one_one_int, X ), X ),
% 1.47/1.90 zero_zero_int ) }.
% 1.47/1.90 (16127) {G0,W8,D3,L2,V1,M2} { ! plus_plus_int( X, X ) = zero_zero_int, X =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (16128) {G0,W8,D3,L2,V1,M2} { ! X = zero_zero_int, plus_plus_int( X, X ) =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (16129) {G0,W4,D3,L1,V1,M1} { ! bit1( X ) = pls }.
% 1.47/1.90 (16130) {G0,W4,D3,L1,V1,M1} { ! pls = bit1( X ) }.
% 1.47/1.90 (16131) {G0,W5,D3,L1,V2,M1} { ! bit1( X ) = bit0( Y ) }.
% 1.47/1.90 (16132) {G0,W5,D3,L1,V2,M1} { ! bit0( X ) = bit1( Y ) }.
% 1.47/1.90 (16133) {G0,W7,D3,L2,V1,M2} { ! bit0( X ) = pls, X = pls }.
% 1.47/1.90 (16134) {G0,W7,D3,L2,V1,M2} { ! X = pls, bit0( X ) = pls }.
% 1.47/1.90 (16135) {G0,W7,D3,L2,V1,M2} { ! pls = bit0( X ), pls = X }.
% 1.47/1.90 (16136) {G0,W7,D3,L2,V1,M2} { ! pls = X, pls = bit0( X ) }.
% 1.47/1.90 (16137) {G0,W4,D3,L1,V0,M1} { bit0( pls ) = pls }.
% 1.47/1.90 (16138) {G0,W3,D2,L1,V0,M1} { pls = zero_zero_int }.
% 1.47/1.90 (16139) {G0,W3,D2,L1,V0,M1} { ! zero_zero_int = one_one_int }.
% 1.47/1.90 (16140) {G0,W5,D3,L1,V1,M1} { plus_plus_int( X, pls ) = X }.
% 1.47/1.90 (16141) {G0,W5,D3,L1,V1,M1} { plus_plus_int( pls, X ) = X }.
% 1.47/1.90 (16142) {G0,W10,D4,L1,V2,M1} { plus_plus_int( bit0( X ), bit0( Y ) ) =
% 1.47/1.90 bit0( plus_plus_int( X, Y ) ) }.
% 1.47/1.90 (16143) {G0,W6,D3,L1,V1,M1} { bit0( X ) = plus_plus_int( X, X ) }.
% 1.47/1.90 (16144) {G0,W5,D3,L1,V1,M1} { plus_plus_int( X, zero_zero_int ) = X }.
% 1.47/1.90 (16145) {G0,W5,D3,L1,V1,M1} { plus_plus_int( zero_zero_int, X ) = X }.
% 1.47/1.90 (16146) {G0,W4,D3,L1,V0,M1} { number_number_of_int( pls ) = zero_zero_int
% 1.47/1.90 }.
% 1.47/1.90 (16147) {G0,W4,D3,L1,V0,M1} { number_number_of_nat( pls ) = zero_zero_nat
% 1.47/1.90 }.
% 1.47/1.90 (16148) {G0,W4,D3,L1,V0,M1} { number_number_of_int( pls ) = zero_zero_int
% 1.47/1.90 }.
% 1.47/1.90 (16149) {G0,W4,D3,L1,V0,M1} { zero_zero_int = number_number_of_int( pls )
% 1.47/1.90 }.
% 1.47/1.90 (16150) {G0,W6,D4,L1,V1,M1} { plus_plus_int( number_number_of_int( pls ),
% 1.47/1.90 X ) = X }.
% 1.47/1.90 (16151) {G0,W6,D4,L1,V1,M1} { plus_plus_int( X, number_number_of_int( pls
% 1.47/1.90 ) ) = X }.
% 1.47/1.90 (16152) {G0,W9,D4,L2,V2,M2} { ! power_power_int( X, number_number_of_nat(
% 1.47/1.90 Y ) ) = zero_zero_int, X = zero_zero_int }.
% 1.47/1.90 (16153) {G0,W10,D4,L2,V2,M2} { ! power_power_int( X, number_number_of_nat
% 1.47/1.90 ( Y ) ) = zero_zero_int, ! number_number_of_nat( Y ) = zero_zero_nat }.
% 1.47/1.90 (16154) {G0,W13,D4,L3,V2,M3} { ! X = zero_zero_int, number_number_of_nat(
% 1.47/1.90 Y ) = zero_zero_nat, power_power_int( X, number_number_of_nat( Y ) ) =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 (16155) {G0,W9,D4,L2,V2,M2} { ! power_power_nat( X, number_number_of_nat(
% 1.47/1.90 Y ) ) = zero_zero_nat, X = zero_zero_nat }.
% 1.47/1.90 (16156) {G0,W10,D4,L2,V2,M2} { ! power_power_nat( X, number_number_of_nat
% 1.47/1.90 ( Y ) ) = zero_zero_nat, ! number_number_of_nat( Y ) = zero_zero_nat }.
% 1.47/1.90 (16157) {G0,W13,D4,L3,V2,M3} { ! X = zero_zero_nat, number_number_of_nat(
% 1.47/1.90 Y ) = zero_zero_nat, power_power_nat( X, number_number_of_nat( Y ) ) =
% 1.47/1.90 zero_zero_nat }.
% 1.47/1.90 (16158) {G0,W14,D5,L1,V3,M1} { plus_plus_int( number_number_of_int( X ),
% 1.47/1.90 plus_plus_int( number_number_of_int( Y ), Z ) ) = plus_plus_int(
% 1.47/1.90 number_number_of_int( plus_plus_int( X, Y ) ), Z ) }.
% 1.47/1.90 (16159) {G0,W10,D4,L1,V2,M1} { plus_plus_int( number_number_of_int( X ),
% 1.47/1.90 number_number_of_int( Y ) ) = number_number_of_int( plus_plus_int( X, Y )
% 1.47/1.90 ) }.
% 1.47/1.90 (16160) {G0,W10,D4,L1,V2,M1} { number_number_of_int( plus_plus_int( X, Y )
% 1.47/1.90 ) = plus_plus_int( number_number_of_int( X ), number_number_of_int( Y )
% 1.47/1.90 ) }.
% 1.47/1.90 (16161) {G0,W10,D4,L1,V2,M1} { plus_plus_int( bit1( X ), bit0( Y ) ) =
% 1.47/1.90 bit1( plus_plus_int( X, Y ) ) }.
% 1.47/1.90 (16162) {G0,W10,D4,L1,V2,M1} { plus_plus_int( bit0( X ), bit1( Y ) ) =
% 1.47/1.90 bit1( plus_plus_int( X, Y ) ) }.
% 1.47/1.90 (16163) {G0,W8,D4,L1,V1,M1} { bit1( X ) = plus_plus_int( plus_plus_int(
% 1.47/1.90 one_one_int, X ), X ) }.
% 1.47/1.90 (16164) {G0,W7,D4,L1,V1,M1} { ! plus_plus_int( plus_plus_int( one_one_int
% 1.47/1.90 , X ), X ) = zero_zero_int }.
% 1.47/1.90 (16165) {G0,W6,D4,L1,V1,M1} { number_number_of_nat( semiri1621563631at_int
% 1.47/1.90 ( X ) ) = semiri984289939at_nat( X ) }.
% 1.47/1.90 (16166) {G0,W6,D4,L1,V1,M1} { number_number_of_int( semiri1621563631at_int
% 1.47/1.90 ( X ) ) = semiri1621563631at_int( X ) }.
% 1.47/1.90 (16167) {G0,W11,D6,L2,V1,M2} { ! ord_less_int( zero_zero_int,
% 1.47/1.90 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) ), ! X
% 1.47/1.90 = zero_zero_int }.
% 1.47/1.90 (16168) {G0,W11,D6,L2,V1,M2} { X = zero_zero_int, ord_less_int(
% 1.47/1.90 zero_zero_int, power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 1.47/1.90 ) ) ) ) ) }.
% 1.47/1.90 (16169) {G0,W8,D6,L1,V1,M1} { ! ord_less_int( power_power_int( X,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ), zero_zero_int ) }.
% 1.47/1.90 (16170) {G0,W21,D7,L3,V2,M3} { ! ord_less_int( zero_zero_int,
% 1.47/1.90 plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 1.47/1.90 ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) )
% 1.47/1.90 ) ) ), ! X = zero_zero_int, ! Y = zero_zero_int }.
% 1.47/1.90 (16171) {G0,W18,D7,L2,V2,M2} { X = zero_zero_int, ord_less_int(
% 1.47/1.90 zero_zero_int, plus_plus_int( power_power_int( X, number_number_of_nat(
% 1.47/1.90 bit0( bit1( pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0(
% 1.47/1.90 bit1( pls ) ) ) ) ) ) }.
% 1.47/1.90 (16172) {G0,W18,D7,L2,V2,M2} { Y = zero_zero_int, ord_less_int(
% 1.47/1.90 zero_zero_int, plus_plus_int( power_power_int( X, number_number_of_nat(
% 1.47/1.90 bit0( bit1( pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0(
% 1.47/1.90 bit1( pls ) ) ) ) ) ) }.
% 1.47/1.90 (16173) {G0,W11,D6,L1,V0,M1} { power_power_int( plus_plus_int( one_one_int
% 1.47/1.90 , semiri1621563631at_int( n ) ), number_number_of_nat( bit0( bit1( pls )
% 1.47/1.90 ) ) ) = zero_zero_int }.
% 1.47/1.90
% 1.47/1.90
% 1.47/1.90 Total Proof:
% 1.47/1.90
% 1.47/1.90 subsumption: (0) {G0,W6,D4,L1,V0,M1} I { ord_less_int( zero_zero_int,
% 1.47/1.90 plus_plus_int( one_one_int, semiri1621563631at_int( n ) ) ) }.
% 1.47/1.90 parent0: (16022) {G0,W6,D4,L1,V0,M1} { ord_less_int( zero_zero_int,
% 1.47/1.90 plus_plus_int( one_one_int, semiri1621563631at_int( n ) ) ) }.
% 1.47/1.90 substitution0:
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (2) {G0,W18,D7,L2,V2,M2} I { ! plus_plus_int( power_power_int
% 1.47/1.90 ( X, number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ==> zero_zero_int, X =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 parent0: (16024) {G0,W18,D7,L2,V2,M2} { ! plus_plus_int( power_power_int(
% 1.47/1.90 X, number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = zero_zero_int, X =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 substitution0:
% 1.47/1.90 X := X
% 1.47/1.90 Y := Y
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 1 ==> 1
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (7) {G0,W8,D6,L1,V0,M1} I { power_power_int( zero_zero_int,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) ==> zero_zero_int }.
% 1.47/1.90 parent0: (16029) {G0,W8,D6,L1,V0,M1} { power_power_int( zero_zero_int,
% 1.47/1.90 number_number_of_nat( bit0( bit1( pls ) ) ) ) = zero_zero_int }.
% 1.47/1.90 substitution0:
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (10) {G0,W11,D6,L2,V1,M2} I { ! X = zero_zero_int,
% 1.47/1.90 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) ==>
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 parent0: (16032) {G0,W11,D6,L2,V1,M2} { ! X = zero_zero_int,
% 1.47/1.90 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 substitution0:
% 1.47/1.90 X := X
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 1 ==> 1
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 eqswap: (16255) {G0,W8,D5,L1,V0,M1} { number_number_of_nat( bit0( bit1(
% 1.47/1.90 pls ) ) ) = plus_plus_nat( one_one_nat, one_one_nat ) }.
% 1.47/1.90 parent0[0]: (16037) {G0,W8,D5,L1,V0,M1} { plus_plus_nat( one_one_nat,
% 1.47/1.90 one_one_nat ) = number_number_of_nat( bit0( bit1( pls ) ) ) }.
% 1.47/1.90 substitution0:
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (14) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1
% 1.47/1.90 ( pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 1.47/1.90 parent0: (16255) {G0,W8,D5,L1,V0,M1} { number_number_of_nat( bit0( bit1(
% 1.47/1.90 pls ) ) ) = plus_plus_nat( one_one_nat, one_one_nat ) }.
% 1.47/1.90 substitution0:
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 eqswap: (16305) {G0,W4,D3,L1,V0,M1} { number_number_of_int( pls ) =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 parent0[0]: (16052) {G0,W4,D3,L1,V0,M1} { zero_zero_int =
% 1.47/1.90 number_number_of_int( pls ) }.
% 1.47/1.90 substitution0:
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (26) {G0,W4,D3,L1,V0,M1} I { number_number_of_int( pls ) ==>
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 parent0: (16305) {G0,W4,D3,L1,V0,M1} { number_number_of_int( pls ) =
% 1.47/1.90 zero_zero_int }.
% 1.47/1.90 substitution0:
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (27) {G0,W9,D4,L1,V2,M1} I { power_power_int(
% 1.47/1.90 semiri1621563631at_int( X ), Y ) ==> semiri1621563631at_int(
% 1.47/1.90 power_power_nat( X, Y ) ) }.
% 1.47/1.90 parent0: (16053) {G0,W9,D4,L1,V2,M1} { power_power_int(
% 1.47/1.90 semiri1621563631at_int( X ), Y ) = semiri1621563631at_int(
% 1.47/1.90 power_power_nat( X, Y ) ) }.
% 1.47/1.90 substitution0:
% 1.47/1.90 X := X
% 1.47/1.90 Y := Y
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (29) {G0,W10,D4,L1,V2,M1} I { plus_plus_int(
% 1.47/1.90 semiri1621563631at_int( X ), semiri1621563631at_int( Y ) ) ==>
% 1.47/1.90 semiri1621563631at_int( plus_plus_nat( X, Y ) ) }.
% 1.47/1.90 parent0: (16056) {G0,W10,D4,L1,V2,M1} { plus_plus_int(
% 1.47/1.90 semiri1621563631at_int( X ), semiri1621563631at_int( Y ) ) =
% 1.47/1.90 semiri1621563631at_int( plus_plus_nat( X, Y ) ) }.
% 1.47/1.90 substitution0:
% 1.47/1.90 X := X
% 1.47/1.90 Y := Y
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (30) {G0,W4,D3,L1,V0,M1} I { semiri1621563631at_int(
% 1.47/1.90 one_one_nat ) ==> one_one_int }.
% 1.47/1.90 parent0: (16057) {G0,W4,D3,L1,V0,M1} { semiri1621563631at_int( one_one_nat
% 1.47/1.90 ) = one_one_int }.
% 1.47/1.90 substitution0:
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (32) {G0,W7,D3,L2,V1,M2} I { ! semiri1621563631at_int( X ) ==>
% 1.47/1.90 zero_zero_int, X = zero_zero_nat }.
% 1.47/1.90 parent0: (16060) {G0,W7,D3,L2,V1,M2} { ! semiri1621563631at_int( X ) =
% 1.47/1.90 zero_zero_int, X = zero_zero_nat }.
% 1.47/1.90 substitution0:
% 1.47/1.90 X := X
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 1 ==> 1
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (34) {G0,W4,D3,L1,V0,M1} I { semiri1621563631at_int(
% 1.47/1.90 zero_zero_nat ) ==> zero_zero_int }.
% 1.47/1.90 parent0: (16062) {G0,W4,D3,L1,V0,M1} { semiri1621563631at_int(
% 1.47/1.90 zero_zero_nat ) = zero_zero_int }.
% 1.47/1.90 substitution0:
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (48) {G0,W8,D3,L2,V2,M2} I { ! number_number_of_int( X ) = Y,
% 1.47/1.90 Y = number_number_of_int( X ) }.
% 1.47/1.90 parent0: (16084) {G0,W8,D3,L2,V2,M2} { ! number_number_of_int( X ) = Y, Y
% 1.47/1.90 = number_number_of_int( X ) }.
% 1.47/1.90 substitution0:
% 1.47/1.90 X := X
% 1.47/1.90 Y := Y
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.47/1.90 1 ==> 1
% 1.47/1.90 end
% 1.47/1.90
% 1.47/1.90 subsumption: (76) {G0,W7,D3,L2,V1,M2} I { ! ord_less_int( X, zero_zero_int
% 1.47/1.90 ), ord_less_int( bit0( X ), zero_zero_int ) }.
% 1.47/1.90 parent0: (16115) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, zero_zero_int )
% 1.47/1.90 , ord_less_int( bit0( X ), zero_zero_int ) }.
% 1.47/1.90 substitution0:
% 1.47/1.90 X := X
% 1.47/1.90 end
% 1.47/1.90 permutation0:
% 1.47/1.90 0 ==> 0
% 1.56/1.91 1 ==> 1
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (77) {G0,W3,D2,L1,V0,M1} I { ord_less_int( zero_zero_int,
% 1.56/1.91 one_one_int ) }.
% 1.56/1.91 parent0: (16116) {G0,W3,D2,L1,V0,M1} { ord_less_int( zero_zero_int,
% 1.56/1.91 one_one_int ) }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (78) {G0,W11,D3,L3,V2,M3} I { ! ord_less_int( X, plus_plus_int
% 1.56/1.91 ( Y, one_one_int ) ), ord_less_int( X, Y ), X = Y }.
% 1.56/1.91 parent0: (16117) {G0,W11,D3,L3,V2,M3} { ! ord_less_int( X, plus_plus_int(
% 1.56/1.91 Y, one_one_int ) ), ord_less_int( X, Y ), X = Y }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 Y := Y
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 1 ==> 1
% 1.56/1.91 2 ==> 2
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (81) {G0,W4,D3,L1,V1,M1} I { ! ord_less_int(
% 1.56/1.91 semiri1621563631at_int( X ), zero_zero_int ) }.
% 1.56/1.91 parent0: (16120) {G0,W4,D3,L1,V1,M1} { ! ord_less_int(
% 1.56/1.91 semiri1621563631at_int( X ), zero_zero_int ) }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (93) {G0,W7,D3,L2,V1,M2} I { ! X = pls, bit0( X ) ==> pls }.
% 1.56/1.91 parent0: (16134) {G0,W7,D3,L2,V1,M2} { ! X = pls, bit0( X ) = pls }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 1 ==> 1
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (95) {G0,W3,D2,L1,V0,M1} I { pls ==> zero_zero_int }.
% 1.56/1.91 parent0: (16138) {G0,W3,D2,L1,V0,M1} { pls = zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (18414) {G1,W5,D3,L1,V1,M1} { plus_plus_int( zero_zero_int, X ) =
% 1.56/1.91 X }.
% 1.56/1.91 parent0[0]: (95) {G0,W3,D2,L1,V0,M1} I { pls ==> zero_zero_int }.
% 1.56/1.91 parent1[0; 2]: (16141) {G0,W5,D3,L1,V1,M1} { plus_plus_int( pls, X ) = X
% 1.56/1.91 }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (98) {G1,W5,D3,L1,V1,M1} I;d(95) { plus_plus_int(
% 1.56/1.91 zero_zero_int, X ) ==> X }.
% 1.56/1.91 parent0: (18414) {G1,W5,D3,L1,V1,M1} { plus_plus_int( zero_zero_int, X ) =
% 1.56/1.91 X }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 eqswap: (20953) {G0,W11,D6,L2,V1,M2} { ! zero_zero_int = X,
% 1.56/1.91 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) ==>
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 parent0[0]: (10) {G0,W11,D6,L2,V1,M2} I { ! X = zero_zero_int,
% 1.56/1.91 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) ==>
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (20957) {G1,W9,D2,L3,V1,M3} { ! ord_less_int( zero_zero_int,
% 1.56/1.91 zero_zero_int ), ! zero_zero_int = X, ! X = zero_zero_int }.
% 1.56/1.91 parent0[1]: (20953) {G0,W11,D6,L2,V1,M2} { ! zero_zero_int = X,
% 1.56/1.91 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) ==>
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 parent1[0; 3]: (16167) {G0,W11,D6,L2,V1,M2} { ! ord_less_int(
% 1.56/1.91 zero_zero_int, power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 1.56/1.91 ) ) ) ) ), ! X = zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 eqswap: (20958) {G1,W9,D2,L3,V1,M3} { ! X = zero_zero_int, ! ord_less_int
% 1.56/1.91 ( zero_zero_int, zero_zero_int ), ! X = zero_zero_int }.
% 1.56/1.91 parent0[1]: (20957) {G1,W9,D2,L3,V1,M3} { ! ord_less_int( zero_zero_int,
% 1.56/1.91 zero_zero_int ), ! zero_zero_int = X, ! X = zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 factor: (20960) {G1,W6,D2,L2,V1,M2} { ! X = zero_zero_int, ! ord_less_int
% 1.56/1.91 ( zero_zero_int, zero_zero_int ) }.
% 1.56/1.91 parent0[0, 2]: (20958) {G1,W9,D2,L3,V1,M3} { ! X = zero_zero_int, !
% 1.56/1.91 ord_less_int( zero_zero_int, zero_zero_int ), ! X = zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (113) {G1,W6,D2,L2,V1,M2} I;d(10) { ! X = zero_zero_int, !
% 1.56/1.91 ord_less_int( zero_zero_int, zero_zero_int ) }.
% 1.56/1.91 parent0: (20960) {G1,W6,D2,L2,V1,M2} { ! X = zero_zero_int, ! ord_less_int
% 1.56/1.91 ( zero_zero_int, zero_zero_int ) }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 1 ==> 1
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (21953) {G1,W10,D5,L1,V0,M1} { power_power_int( plus_plus_int(
% 1.56/1.91 one_one_int, semiri1621563631at_int( n ) ), plus_plus_nat( one_one_nat,
% 1.56/1.91 one_one_nat ) ) = zero_zero_int }.
% 1.56/1.91 parent0[0]: (14) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 1.56/1.91 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 1.56/1.91 parent1[0; 6]: (16173) {G0,W11,D6,L1,V0,M1} { power_power_int(
% 1.56/1.91 plus_plus_int( one_one_int, semiri1621563631at_int( n ) ),
% 1.56/1.91 number_number_of_nat( bit0( bit1( pls ) ) ) ) = zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (118) {G1,W10,D5,L1,V0,M1} I;d(14) { power_power_int(
% 1.56/1.91 plus_plus_int( one_one_int, semiri1621563631at_int( n ) ), plus_plus_nat
% 1.56/1.91 ( one_one_nat, one_one_nat ) ) ==> zero_zero_int }.
% 1.56/1.91 parent0: (21953) {G1,W10,D5,L1,V0,M1} { power_power_int( plus_plus_int(
% 1.56/1.91 one_one_int, semiri1621563631at_int( n ) ), plus_plus_nat( one_one_nat,
% 1.56/1.91 one_one_nat ) ) = zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 eqswap: (21955) {G1,W6,D2,L2,V1,M2} { ! zero_zero_int = X, ! ord_less_int
% 1.56/1.91 ( zero_zero_int, zero_zero_int ) }.
% 1.56/1.91 parent0[0]: (113) {G1,W6,D2,L2,V1,M2} I;d(10) { ! X = zero_zero_int, !
% 1.56/1.91 ord_less_int( zero_zero_int, zero_zero_int ) }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 eqrefl: (21956) {G0,W3,D2,L1,V0,M1} { ! ord_less_int( zero_zero_int,
% 1.56/1.91 zero_zero_int ) }.
% 1.56/1.91 parent0[0]: (21955) {G1,W6,D2,L2,V1,M2} { ! zero_zero_int = X, !
% 1.56/1.91 ord_less_int( zero_zero_int, zero_zero_int ) }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := zero_zero_int
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (123) {G2,W3,D2,L1,V0,M1} Q(113) { ! ord_less_int(
% 1.56/1.91 zero_zero_int, zero_zero_int ) }.
% 1.56/1.91 parent0: (21956) {G0,W3,D2,L1,V0,M1} { ! ord_less_int( zero_zero_int,
% 1.56/1.91 zero_zero_int ) }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (21962) {G1,W17,D7,L2,V2,M2} { ! plus_plus_int( power_power_int(
% 1.56/1.91 X, number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 1.56/1.91 plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> zero_zero_int, X =
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 parent0[0]: (14) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 1.56/1.91 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 1.56/1.91 parent1[0; 11]: (2) {G0,W18,D7,L2,V2,M2} I { ! plus_plus_int(
% 1.56/1.91 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 1.56/1.91 power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ==>
% 1.56/1.91 zero_zero_int, X = zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 X := X
% 1.56/1.91 Y := Y
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (21963) {G1,W16,D5,L2,V2,M2} { ! plus_plus_int( power_power_int(
% 1.56/1.91 X, plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int( Y,
% 1.56/1.91 plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> zero_zero_int, X =
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 parent0[0]: (14) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 1.56/1.91 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 1.56/1.91 parent1[0; 5]: (21962) {G1,W17,D7,L2,V2,M2} { ! plus_plus_int(
% 1.56/1.91 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 1.56/1.91 power_power_int( Y, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 1.56/1.91 zero_zero_int, X = zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 X := X
% 1.56/1.91 Y := Y
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (124) {G1,W16,D5,L2,V2,M2} S(2);d(14) { X = zero_zero_int, !
% 1.56/1.91 plus_plus_int( power_power_int( X, plus_plus_nat( one_one_nat,
% 1.56/1.91 one_one_nat ) ), power_power_int( Y, plus_plus_nat( one_one_nat,
% 1.56/1.91 one_one_nat ) ) ) ==> zero_zero_int }.
% 1.56/1.91 parent0: (21963) {G1,W16,D5,L2,V2,M2} { ! plus_plus_int( power_power_int(
% 1.56/1.91 X, plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int( Y,
% 1.56/1.91 plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> zero_zero_int, X =
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 X := X
% 1.56/1.91 Y := Y
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 1
% 1.56/1.91 1 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (21975) {G1,W4,D3,L1,V0,M1} { number_number_of_int( zero_zero_int
% 1.56/1.91 ) ==> zero_zero_int }.
% 1.56/1.91 parent0[0]: (95) {G0,W3,D2,L1,V0,M1} I { pls ==> zero_zero_int }.
% 1.56/1.91 parent1[0; 2]: (26) {G0,W4,D3,L1,V0,M1} I { number_number_of_int( pls ) ==>
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (128) {G1,W4,D3,L1,V0,M1} S(26);d(95) { number_number_of_int(
% 1.56/1.91 zero_zero_int ) ==> zero_zero_int }.
% 1.56/1.91 parent0: (21975) {G1,W4,D3,L1,V0,M1} { number_number_of_int( zero_zero_int
% 1.56/1.91 ) ==> zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (21979) {G1,W7,D4,L1,V0,M1} { power_power_int( zero_zero_int,
% 1.56/1.91 plus_plus_nat( one_one_nat, one_one_nat ) ) ==> zero_zero_int }.
% 1.56/1.91 parent0[0]: (14) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 1.56/1.91 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 1.56/1.91 parent1[0; 3]: (7) {G0,W8,D6,L1,V0,M1} I { power_power_int( zero_zero_int,
% 1.56/1.91 number_number_of_nat( bit0( bit1( pls ) ) ) ) ==> zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (133) {G1,W7,D4,L1,V0,M1} S(7);d(14) { power_power_int(
% 1.56/1.91 zero_zero_int, plus_plus_nat( one_one_nat, one_one_nat ) ) ==>
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 parent0: (21979) {G1,W7,D4,L1,V0,M1} { power_power_int( zero_zero_int,
% 1.56/1.91 plus_plus_nat( one_one_nat, one_one_nat ) ) ==> zero_zero_int }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 permutation0:
% 1.56/1.91 0 ==> 0
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (21987) {G1,W7,D3,L2,V1,M2} { bit0( X ) ==> zero_zero_int, ! X =
% 1.56/1.91 pls }.
% 1.56/1.91 parent0[0]: (95) {G0,W3,D2,L1,V0,M1} I { pls ==> zero_zero_int }.
% 1.56/1.91 parent1[1; 3]: (93) {G0,W7,D3,L2,V1,M2} I { ! X = pls, bit0( X ) ==> pls
% 1.56/1.91 }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 paramod: (21989) {G1,W7,D3,L2,V1,M2} { ! X = zero_zero_int, bit0( X ) ==>
% 1.56/1.91 zero_zero_int }.
% 1.56/1.91 parent0[0]: (95) {G0,W3,D2,L1,V0,M1} I { pls ==> zero_zero_int }.
% 1.56/1.91 parent1[1; 3]: (21987) {G1,W7,D3,L2,V1,M2} { bit0( X ) ==> zero_zero_int,
% 1.56/1.91 ! X = pls }.
% 1.56/1.91 substitution0:
% 1.56/1.91 end
% 1.56/1.91 substitution1:
% 1.56/1.91 X := X
% 1.56/1.91 end
% 1.56/1.91
% 1.56/1.91 subsumption: (141) {G1,W7,D3,L2,V1,M2} S(93);d(95);d(95) { ! X =
% 1.56/1.92 zero_zero_int, bit0( X ) ==> zero_zero_int }.
% 1.56/1.92 parent0: (21989) {G1,W7,D3,L2,V1,M2} { ! X = zero_zero_int, bit0( X ) ==>
% 1.56/1.92 zero_zero_int }.
% 1.56/1.92 substitution0:
% 1.56/1.92 X := X
% 1.56/1.92 end
% 1.56/1.92 permutation0:
% 1.56/1.92 0 ==> 0
% 1.56/1.92 1 ==> 1
% 1.56/1.92 end
% 1.56/1.92
% 1.56/1.92 eqswap: (21993) {G1,W7,D3,L2,V1,M2} { ! zero_zero_int = X, bit0( X ) ==>
% 1.56/1.92 zero_zero_int }.
% 1.56/1.92 parent0[0]: (141) {G1,W7,D3,L2,V1,M2} S(93);d(95);d(95) { ! X =
% 1.56/1.92 zero_zero_int, bit0( X ) ==> zero_zero_int }.
% 1.56/1.92 substitution0:
% 1.56/1.92 X := X
% 1.56/1.92 end
% 1.56/1.92
% 1.56/1.92 paramod: (21996) {G1,W9,D2,L3,V1,M3} { ord_less_int( zero_zero_int,
% 1.56/1.92 zero_zero_int ), ! zero_zero_int = X, ! ord_less_int( X, zero_zero_int )
% 1.56/1.92 }.
% 1.56/1.92 parent0[1]: (21993) {G1,W7,D3,L2,V1,M2} { ! zero_zero_int = X, bit0( X )
% 1.56/1.92 ==> zero_zero_int }.
% 1.56/1.92 parent1[1; 1]: (76) {G0,W7,D3,L2,V1,M2} I { ! ord_less_int( X,
% 1.56/1.92 zero_zero_int ), ord_less_int( bit0( X ), zero_zero_int ) }.
% 1.56/1.92 substitution0:
% 1.56/1.92 X := X
% 1.56/1.92 end
% 1.56/1.92 substitution1:
% 1.56/1.92 X := X
% 1.56/1.92 end
% 1.56/1.92
% 1.56/1.92 resolution: (21997) {G2,W6,D2,L2,V1,M2} { ! zero_zero_int = X, !
% 1.56/1.92 ord_less_int( X, zero_zero_int ) }.
% 1.56/1.92 parent0[0]: (123) {G2,W3,D2,L1,V0,M1} Q(113) { ! ord_less_int(
% 1.56/1.92 zero_zero_int, zero_zero_int ) }.
% 1.56/1.92 parent1[0]: (21996) {G1,W9,D2,L3,V1,M3} { ord_less_int( zero_zero_int,
% 1.56/1.92 zero_zero_int ), ! zero_zero_int = X, ! ord_less_int( X, zero_zero_int )
% 1.56/1.92 }.
% 1.56/1.92 substitution0:
% 1.56/1.92 end
% 1.56/1.92 substitution1:
% 1.56/1.92 X := X
% 1.56/1.92 end
% 1.56/1.92
% 1.56/1.92 eqswap: (21998) {G2,W6,D2,L2,V1,M2} { ! X = zero_zero_int, ! ord_less_int
% 1.56/1.92 ( X, zero_zero_int ) }.
% 1.56/1.92 parent0[0]: (21997) {G2,W6,D2,L2,V1,M2} { ! zero_zero_int = X, !
% 1.56/1.92 ord_less_int( X, zero_zero_int ) }.
% 1.56/1.92 substitution0:
% 1.56/1.92 X := X
% 1.56/1.92 end
% 1.56/1.92
% 1.56/1.92 subsumption: (208) {G3,W6,D2,L2,V1,M2} P(141,76);r(123) { ! ord_less_int( X
% 1.56/1.92 , zero_zero_int ), ! X = zero_zero_int }.
% 1.56/1.92 parent0: (21998) {G2,W6,D2,L2,V1,M2} { ! X = zero_zero_int, ! ord_less_int
% 1.56/1.92 ( X, zero_zero_int ) }.
% 1.56/1.92 substitution0:
% 1.56/1.92 X := X
% 1.56/1.92 end
% 1.56/1.92 permutation0:
% 1.56/1.92 0 ==> 1
% 1.56/1.92 1 ==> 0
% 1.56/1.92 end
% 1.56/1.92
% 1.56/1.92 eqswap: (22000) {G0,W10,D4,L1,V2,M1} { semiri1621563631at_int(
% 1.56/1.92 plus_plus_nat( X, Y ) ) ==> plus_plus_int( semiri1621563631at_int( X ),
% 1.56/1.92 semiri1621563631at_int( Y ) ) }.
% 1.56/1.92 parent0[0]: (29) {G0,W10,D4,L1,V2,M1} I { plus_plus_int(
% 1.56/1.92 semiri1621563631at_int( X ), semiri1621563631at_int( Y ) ) ==>
% 1.56/1.92 semiri1621563631at_int( plus_plus_nat( X, Y ) ) }.
% 1.56/1.92 substitution0:
% 1.56/1.92 X := X
% 1.56/1.92 Y := Y
% 1.56/1.92 end
% 1.56/1.92
% 1.56/1.92 paramod: (22001) {G1,W9,D4,L1,V1,M1} { semiri1621563631at_int(
% 1.56/1.92 plus_plus_nat( one_one_nat, X ) ) ==> plus_plus_int( one_one_int,
% 1.56/1.92 semiri1621563631at_int( X ) ) }.
% 1.56/1.92 parent0[0]: (30) {G0,W4,D3,L1,V0,M1} I { semiri1621563631at_int(
% 1.56/1.92 one_one_nat ) ==> one_one_int }.
% 1.56/1.92 parent1[0; 6]: (22000) {G0,W10,D4,L1,V2,M1} { semiri1621563631at_int(
% 1.56/1.92 plus_plus_nat( X, Y ) ) ==> plus_plus_int( semiri1621563631at_int( X ),
% 1.56/1.92 semiri1621563631at_int( Y ) ) }.
% 1.56/1.92 substitution0:
% 1.56/1.92 end
% 1.56/1.92 substitution1:
% 1.56/1.92 X := one_one_nat
% 1.56/1.92 Y := X
% 1.56/1.92 end
% 1.56/1.92
% 1.56/1.92 eqswap: (22003) {G1,W9,D4,L1,V1,M1} { plus_plus_int( one_one_int,
% 1.56/1.92 semiri1621563631at_int( X ) ) ==> semiri1621563631at_int( plus_plus_nat(
% 1.56/1.92 one_one_nat, X ) ) }.
% 1.56/1.92 parent0[0]: (22001) {G1,W9,D4,L1,V1,M1} { semiri1621563631at_int(
% 1.56/1.92 plus_plus_nat( one_one_nat, X ) ) ==> plus_plus_int( one_one_int,
% 1.56/1.92 semiri1621563631at_int( X ) ) }.
% 27.16/27.54 substitution0:
% 27.16/27.54 X := X
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 subsumption: (686) {G1,W9,D4,L1,V1,M1} P(30,29) { plus_plus_int(
% 27.16/27.54 one_one_int, semiri1621563631at_int( X ) ) ==> semiri1621563631at_int(
% 27.16/27.54 plus_plus_nat( one_one_nat, X ) ) }.
% 27.16/27.54 parent0: (22003) {G1,W9,D4,L1,V1,M1} { plus_plus_int( one_one_int,
% 27.16/27.54 semiri1621563631at_int( X ) ) ==> semiri1621563631at_int( plus_plus_nat(
% 27.16/27.54 one_one_nat, X ) ) }.
% 27.16/27.54 substitution0:
% 27.16/27.54 X := X
% 27.16/27.54 end
% 27.16/27.54 permutation0:
% 27.16/27.54 0 ==> 0
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 paramod: (22006) {G1,W6,D4,L1,V0,M1} { ord_less_int( zero_zero_int,
% 27.16/27.54 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) ) }.
% 27.16/27.54 parent0[0]: (686) {G1,W9,D4,L1,V1,M1} P(30,29) { plus_plus_int( one_one_int
% 27.16/27.54 , semiri1621563631at_int( X ) ) ==> semiri1621563631at_int( plus_plus_nat
% 27.16/27.54 ( one_one_nat, X ) ) }.
% 27.16/27.54 parent1[0; 2]: (0) {G0,W6,D4,L1,V0,M1} I { ord_less_int( zero_zero_int,
% 27.16/27.54 plus_plus_int( one_one_int, semiri1621563631at_int( n ) ) ) }.
% 27.16/27.54 substitution0:
% 27.16/27.54 X := n
% 27.16/27.54 end
% 27.16/27.54 substitution1:
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 subsumption: (1002) {G2,W6,D4,L1,V0,M1} S(0);d(686) { ord_less_int(
% 27.16/27.54 zero_zero_int, semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) )
% 27.16/27.54 ) }.
% 27.16/27.54 parent0: (22006) {G1,W6,D4,L1,V0,M1} { ord_less_int( zero_zero_int,
% 27.16/27.54 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) ) }.
% 27.16/27.54 substitution0:
% 27.16/27.54 end
% 27.16/27.54 permutation0:
% 27.16/27.54 0 ==> 0
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 eqswap: (22007) {G0,W7,D3,L2,V1,M2} { ! zero_zero_int ==>
% 27.16/27.54 semiri1621563631at_int( X ), X = zero_zero_nat }.
% 27.16/27.54 parent0[0]: (32) {G0,W7,D3,L2,V1,M2} I { ! semiri1621563631at_int( X ) ==>
% 27.16/27.54 zero_zero_int, X = zero_zero_nat }.
% 27.16/27.54 substitution0:
% 27.16/27.54 X := X
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 paramod: (22013) {G1,W10,D4,L2,V0,M2} { ord_less_int( zero_zero_int,
% 27.16/27.54 semiri1621563631at_int( zero_zero_nat ) ), ! zero_zero_int ==>
% 27.16/27.54 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) }.
% 27.16/27.54 parent0[1]: (22007) {G0,W7,D3,L2,V1,M2} { ! zero_zero_int ==>
% 27.16/27.54 semiri1621563631at_int( X ), X = zero_zero_nat }.
% 27.16/27.54 parent1[0; 3]: (1002) {G2,W6,D4,L1,V0,M1} S(0);d(686) { ord_less_int(
% 27.16/27.54 zero_zero_int, semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) )
% 27.16/27.54 ) }.
% 27.16/27.54 substitution0:
% 27.16/27.54 X := plus_plus_nat( one_one_nat, n )
% 27.16/27.54 end
% 27.16/27.54 substitution1:
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 paramod: (79645) {G1,W9,D4,L2,V0,M2} { ord_less_int( zero_zero_int,
% 27.16/27.54 zero_zero_int ), ! zero_zero_int ==> semiri1621563631at_int(
% 27.16/27.54 plus_plus_nat( one_one_nat, n ) ) }.
% 27.16/27.54 parent0[0]: (34) {G0,W4,D3,L1,V0,M1} I { semiri1621563631at_int(
% 27.16/27.54 zero_zero_nat ) ==> zero_zero_int }.
% 27.16/27.54 parent1[0; 2]: (22013) {G1,W10,D4,L2,V0,M2} { ord_less_int( zero_zero_int
% 27.16/27.54 , semiri1621563631at_int( zero_zero_nat ) ), ! zero_zero_int ==>
% 27.16/27.54 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) }.
% 27.16/27.54 substitution0:
% 27.16/27.54 end
% 27.16/27.54 substitution1:
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 resolution: (79646) {G2,W6,D4,L1,V0,M1} { ! zero_zero_int ==>
% 27.16/27.54 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) }.
% 27.16/27.54 parent0[0]: (123) {G2,W3,D2,L1,V0,M1} Q(113) { ! ord_less_int(
% 27.16/27.54 zero_zero_int, zero_zero_int ) }.
% 27.16/27.54 parent1[0]: (79645) {G1,W9,D4,L2,V0,M2} { ord_less_int( zero_zero_int,
% 27.16/27.54 zero_zero_int ), ! zero_zero_int ==> semiri1621563631at_int(
% 27.16/27.54 plus_plus_nat( one_one_nat, n ) ) }.
% 27.16/27.54 substitution0:
% 27.16/27.54 end
% 27.16/27.54 substitution1:
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 eqswap: (79647) {G2,W6,D4,L1,V0,M1} { ! semiri1621563631at_int(
% 27.16/27.54 plus_plus_nat( one_one_nat, n ) ) ==> zero_zero_int }.
% 27.16/27.54 parent0[0]: (79646) {G2,W6,D4,L1,V0,M1} { ! zero_zero_int ==>
% 27.16/27.54 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) }.
% 27.16/27.54 substitution0:
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 subsumption: (2055) {G3,W6,D4,L1,V0,M1} P(32,1002);d(34);r(123) { !
% 27.16/27.54 semiri1621563631at_int( plus_plus_nat( one_one_nat, n ) ) ==>
% 27.16/27.54 zero_zero_int }.
% 27.16/27.54 parent0: (79647) {G2,W6,D4,L1,V0,M1} { ! semiri1621563631at_int(
% 27.16/27.54 plus_plus_nat( one_one_nat, n ) ) ==> zero_zero_int }.
% 27.16/27.54 substitution0:
% 27.16/27.54 end
% 27.16/27.54 permutation0:
% 27.16/27.54 0 ==> 0
% 27.16/27.54 end
% 27.16/27.54
% 27.16/27.54 *** allocated 15000 integers for justifications
% 27.16/27.54 *** allocated 22500 integers for justifications
% 27.16/27.54 *** allocated 384427 integers for termspace/termends
% 27.16/27.54 *** allocated 33750 integers for justifications
% 27.16/27.54 *** allocated 50625 integers for justifications
% 27.16/27.54 *** allocated 1297440 integers for clauses
% 27.16/27.54 *** allocated 75937 integers for justifications
% 27.16/27.54 *** allocated 113905 integers for justifications
% 27.16/27.54 *** allocated 576640 integers for termspace/termCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------