TSTP Solution File: NUM926+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM926+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 06:27:44 EDT 2022
% Result : Theorem 0.69s 1.12s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM926+1 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.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 : Tue Jul 5 14:56:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.11 *** allocated 10000 integers for termspace/termends
% 0.69/1.11 *** allocated 10000 integers for clauses
% 0.69/1.11 *** allocated 10000 integers for justifications
% 0.69/1.11 Bliksem 1.12
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Automatic Strategy Selection
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Clauses:
% 0.69/1.11
% 0.69/1.11 { ord_less_eq_int( one_one_int, t ) }.
% 0.69/1.11 { ! t = one_one_int, plus_plus_int( power_power_int( skol1,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( skol4,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = plus_plus_int(
% 0.69/1.11 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.11 , one_one_int ) }.
% 0.69/1.11 { ! ord_less_int( one_one_int, t ), plus_plus_int( power_power_int( skol2,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( skol5,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = plus_plus_int(
% 0.69/1.11 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.11 , one_one_int ) }.
% 0.69/1.11 { ord_less_int( t, plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.11 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.69/1.11 { zprime( plus_plus_int( times_times_int( number_number_of_int( bit0( bit0
% 0.69/1.11 ( bit1( pls ) ) ) ), m ), one_one_int ) ) }.
% 0.69/1.11 { plus_plus_int( power_power_int( s, number_number_of_nat( bit0( bit1( pls
% 0.69/1.11 ) ) ) ), one_one_int ) = times_times_int( plus_plus_int( times_times_int
% 0.69/1.11 ( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int )
% 0.69/1.11 , t ) }.
% 0.69/1.11 { twoSqu526106917sum2sq( times_times_int( plus_plus_int( times_times_int(
% 0.69/1.11 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ),
% 0.69/1.11 t ) ) }.
% 0.69/1.11 { power_power_int( plus_plus_int( X, Y ), number_number_of_nat( bit0( bit1
% 0.69/1.11 ( pls ) ) ) ) = plus_plus_int( plus_plus_int( power_power_int( X,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ), times_times_int(
% 0.69/1.11 times_times_int( number_number_of_int( bit0( bit1( pls ) ) ), X ), Y ) )
% 0.69/1.11 , power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) }.
% 0.69/1.11 { power_power_int( plus_plus_int( X, Y ), number_number_of_nat( bit1( bit1
% 0.69/1.11 ( pls ) ) ) ) = plus_plus_int( plus_plus_int( plus_plus_int(
% 0.69/1.11 power_power_int( X, number_number_of_nat( bit1( bit1( pls ) ) ) ),
% 0.69/1.11 times_times_int( times_times_int( number_number_of_int( bit1( bit1( pls )
% 0.69/1.11 ) ), power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) )
% 0.69/1.11 , Y ) ), times_times_int( times_times_int( number_number_of_int( bit1(
% 0.69/1.11 bit1( pls ) ) ), X ), power_power_int( Y, number_number_of_nat( bit0(
% 0.69/1.11 bit1( pls ) ) ) ) ) ), power_power_int( Y, number_number_of_nat( bit1(
% 0.69/1.11 bit1( pls ) ) ) ) ) }.
% 0.69/1.11 { power_power_nat( plus_plus_nat( X, Y ), number_number_of_nat( bit0( bit1
% 0.69/1.11 ( pls ) ) ) ) = plus_plus_nat( plus_plus_nat( power_power_nat( X,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_nat( Y,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), times_times_nat(
% 0.69/1.11 times_times_nat( number_number_of_nat( bit0( bit1( pls ) ) ), X ), Y ) )
% 0.69/1.11 }.
% 0.69/1.11 { power_power_int( plus_plus_int( X, Y ), number_number_of_nat( bit0( bit1
% 0.69/1.11 ( pls ) ) ) ) = plus_plus_int( plus_plus_int( power_power_int( X,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 0.69/1.11 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), times_times_int(
% 0.69/1.11 times_times_int( number_number_of_int( bit0( bit1( pls ) ) ), X ), Y ) )
% 0.69/1.11 }.
% 0.69/1.11 { power_power_int( number_number_of_int( X ), number_number_of_nat( bit0(
% 0.69/1.11 bit1( pls ) ) ) ) = times_times_int( number_number_of_int( X ),
% 0.69/1.11 number_number_of_int( X ) ) }.
% 0.69/1.11 { power_power_nat( number_number_of_nat( X ), number_number_of_nat( bit0(
% 0.69/1.11 bit1( pls ) ) ) ) = times_times_nat( number_number_of_nat( X ),
% 0.69/1.11 number_number_of_nat( X ) ) }.
% 0.69/1.11 { times_times_int( X, power_power_int( X, number_number_of_nat( bit0( bit1
% 0.69/1.11 ( pls ) ) ) ) ) = power_power_int( X, number_number_of_nat( bit1( bit1(
% 0.69/1.11 pls ) ) ) ) }.
% 0.69/1.11 { power_power_nat( one_one_nat, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.69/1.11 ) = one_one_nat }.
% 0.69/1.11 { power_power_int( one_one_int, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.69/1.11 ) = one_one_int }.
% 0.69/1.11 { times_times_int( X, X ) = power_power_int( X, number_number_of_nat( bit0
% 0.69/1.11 ( bit1( pls ) ) ) ) }.
% 0.69/1.11 { times_times_nat( X, X ) = power_power_nat( X, number_number_of_nat( bit0
% 0.69/1.11 ( bit1( pls ) ) ) ) }.
% 0.69/1.11 { power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.69/1.11 times_times_int( X, X ) }.
% 0.69/1.11 { power_power_nat( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.69/1.11 times_times_nat( X, X ) }.
% 0.69/1.11 { power_power_int( X, times_times_nat( number_number_of_nat( bit0( bit1(
% 0.69/1.11 pls ) ) ), Y ) ) = times_times_int( power_power_int( X, Y ),
% 0.69/1.11 power_power_int( X, Y ) ) }.
% 0.69/1.11 { power_power_nat( X, times_times_nat( number_number_of_nat( bit0( bit1(
% 0.69/1.11 pls ) ) ), Y ) ) = times_times_nat( power_power_nat( X, Y ),
% 0.69/1.11 power_power_nat( X, Y ) ) }.
% 0.69/1.11 { plus_plus_int( one_one_int, number_number_of_int( X ) ) =
% 0.69/1.11 number_number_of_int( plus_plus_int( bit1( pls ), X ) ) }.
% 0.69/1.11 { plus_plus_int( number_number_of_int( X ), one_one_int ) =
% 0.69/1.11 number_number_of_int( plus_plus_int( X, bit1( pls ) ) ) }.
% 0.69/1.11 { plus_plus_int( one_one_int, one_one_int ) = number_number_of_int( bit0(
% 0.69/1.11 bit1( pls ) ) ) }.
% 0.69/1.11 { plus_plus_int( power_power_int( s, number_number_of_nat( bit0( bit1( pls
% 0.69/1.11 ) ) ) ), one_one_int ) = times_times_int( plus_plus_int( times_times_int
% 0.69/1.11 ( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int )
% 0.69/1.11 , skol3 ) }.
% 0.69/1.11 { ord_less_eq_int( X, X ) }.
% 0.69/1.11 { ord_less_eq_int( X, Y ), ord_less_eq_int( Y, X ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ! X = Y }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), X = Y, ord_less_int( X, Y ) }.
% 0.69/1.11 { ord_less_int( X, Y ), X = Y, ord_less_int( Y, X ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ! ord_less_eq_int( Y, Z ), ord_less_eq_int( X
% 0.69/1.11 , Z ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ! ord_less_eq_int( Y, X ), X = Y }.
% 0.69/1.11 { power_power_int( power_power_int( X, Y ), Z ) = power_power_int( X,
% 0.69/1.11 times_times_nat( Y, Z ) ) }.
% 0.69/1.11 { power_power_nat( power_power_nat( X, Y ), Z ) = power_power_nat( X,
% 0.69/1.11 times_times_nat( Y, Z ) ) }.
% 0.69/1.11 { power_power_int( X, one_one_nat ) = X }.
% 0.69/1.11 { power_power_nat( X, one_one_nat ) = X }.
% 0.69/1.11 { power_power_int( power_power_int( X, Y ), Z ) = power_power_int( X,
% 0.69/1.11 times_times_nat( Y, Z ) ) }.
% 0.69/1.11 { ! ord_less_eq_nat( number_number_of_nat( X ), number_number_of_nat( Y ) )
% 0.69/1.11 , ! ord_less_nat( number_number_of_nat( Y ), number_number_of_nat( X ) )
% 0.69/1.11 }.
% 0.69/1.11 { ord_less_nat( number_number_of_nat( Y ), number_number_of_nat( X ) ),
% 0.69/1.11 ord_less_eq_nat( number_number_of_nat( X ), number_number_of_nat( Y ) ) }
% 0.69/1.11 .
% 0.69/1.11 { ! ord_less_eq_int( number_number_of_int( X ), number_number_of_int( Y ) )
% 0.69/1.11 , ! ord_less_int( number_number_of_int( Y ), number_number_of_int( X ) )
% 0.69/1.11 }.
% 0.69/1.11 { ord_less_int( number_number_of_int( Y ), number_number_of_int( X ) ),
% 0.69/1.11 ord_less_eq_int( number_number_of_int( X ), number_number_of_int( Y ) ) }
% 0.69/1.11 .
% 0.69/1.11 { ! ord_less_int( number_number_of_int( X ), number_number_of_int( Y ) ),
% 0.69/1.11 ord_less_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_int( number_number_of_int( X ),
% 0.69/1.11 number_number_of_int( Y ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( number_number_of_int( X ), number_number_of_int( Y ) )
% 0.69/1.11 , ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( number_number_of_int( X ),
% 0.69/1.11 number_number_of_int( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ! ord_less_eq_int( Z, T ), ord_less_int(
% 0.69/1.11 plus_plus_int( X, Z ), plus_plus_int( Y, T ) ) }.
% 0.69/1.11 { times_times_int( power_power_int( X, Y ), power_power_int( X, Z ) ) =
% 0.69/1.11 power_power_int( X, plus_plus_nat( Y, Z ) ) }.
% 0.69/1.11 { times_times_nat( power_power_nat( X, Y ), power_power_nat( X, Z ) ) =
% 0.69/1.11 power_power_nat( X, plus_plus_nat( Y, Z ) ) }.
% 0.69/1.11 { power_power_int( X, plus_plus_nat( Y, Z ) ) = times_times_int(
% 0.69/1.11 power_power_int( X, Y ), power_power_int( X, Z ) ) }.
% 0.69/1.11 { times_times_nat( number_number_of_nat( bit0( bit1( pls ) ) ), X ) =
% 0.69/1.11 plus_plus_nat( X, X ) }.
% 0.69/1.11 { times_times_nat( X, number_number_of_nat( bit0( bit1( pls ) ) ) ) =
% 0.69/1.11 plus_plus_nat( X, X ) }.
% 0.69/1.11 { plus_plus_nat( one_one_nat, one_one_nat ) = number_number_of_nat( bit0(
% 0.69/1.11 bit1( pls ) ) ) }.
% 0.69/1.11 { ! ord_less_int( bit1( X ), bit1( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit1( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( bit1( X ), bit1( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit1( Y ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( bit1( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit1( X ), bit1( Y ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( bit1( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit1( X ), bit1( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( pls, pls ) }.
% 0.69/1.11 { ! ord_less_int( bit0( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_int( bit0( X ), bit0( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( bit0( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_int( bit0( X ), bit0( Y ) ) }.
% 0.69/1.11 { ord_less_eq_int( pls, pls ) }.
% 0.69/1.11 { ! ord_less_eq_int( bit0( X ), bit0( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit0( X ), bit0( Y ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( bit0( X ), bit0( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit0( X ), bit0( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( number_number_of_int( X ), number_number_of_int( Y ) ),
% 0.69/1.11 ord_less_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_int( number_number_of_int( X ),
% 0.69/1.11 number_number_of_int( Y ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( number_number_of_int( X ), number_number_of_int( Y ) )
% 0.69/1.11 , ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( number_number_of_int( X ),
% 0.69/1.11 number_number_of_int( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_int( plus_plus_int( X, Z ),
% 0.69/1.11 plus_plus_int( Y, Z ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( plus_plus_int( Z, X ),
% 0.69/1.11 plus_plus_int( Z, Y ) ) }.
% 0.69/1.11 { ! ord_less_int( Y, pls ), plus_plus_nat( number_number_of_nat( Y ),
% 0.69/1.11 number_number_of_nat( X ) ) = number_number_of_nat( X ) }.
% 0.69/1.11 { ord_less_int( Y, pls ), ! ord_less_int( X, pls ), plus_plus_nat(
% 0.69/1.11 number_number_of_nat( Y ), number_number_of_nat( X ) ) =
% 0.69/1.11 number_number_of_nat( Y ) }.
% 0.69/1.11 { ord_less_int( Y, pls ), ord_less_int( X, pls ), plus_plus_nat(
% 0.69/1.11 number_number_of_nat( Y ), number_number_of_nat( X ) ) =
% 0.69/1.11 number_number_of_nat( plus_plus_int( Y, X ) ) }.
% 0.69/1.11 { number_number_of_nat( bit1( pls ) ) = one_one_nat }.
% 0.69/1.11 { one_one_nat = number_number_of_nat( bit1( pls ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( bit1( X ), pls ), ord_less_int( X, pls ) }.
% 0.69/1.11 { ! ord_less_int( X, pls ), ord_less_eq_int( bit1( X ), pls ) }.
% 0.69/1.11 { ! ord_less_int( pls, bit1( X ) ), ord_less_eq_int( pls, X ) }.
% 0.69/1.11 { ! ord_less_eq_int( pls, X ), ord_less_int( pls, bit1( X ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_eq_int( bit1( X ), bit0( Y ) ) }.
% 0.69/1.11 { ! ord_less_eq_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_eq_int( bit1( X ), bit0( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( bit0( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_int( bit0( X ), bit1( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( bit0( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_int( bit0( X ), bit1( Y ) ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_eq_int( plus_plus_int( X, one_one_int )
% 0.69/1.11 , Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( plus_plus_int( X, one_one_int ), Y ), ord_less_int( X
% 0.69/1.11 , Y ) }.
% 0.69/1.11 { ! ord_less_int( X, Y ), ord_less_eq_int( plus_plus_int( X, one_one_int )
% 0.69/1.11 , Y ) }.
% 0.69/1.11 { ! ord_less_int( X, plus_plus_int( Y, one_one_int ) ), ord_less_eq_int( X
% 0.69/1.11 , Y ) }.
% 0.69/1.11 { ! ord_less_eq_int( X, Y ), ord_less_int( X, plus_plus_int( Y, one_one_int
% 0.69/1.11 ) ) }.
% 0.69/1.11 { zprime( number_number_of_int( bit0( bit1( pls ) ) ) ) }.
% 0.69/1.11 { ! twoSqu526106917sum2sq( X ), ! twoSqu526106917sum2sq( Y ),
% 0.69/1.11 twoSqu526106917sum2sq( times_times_int( X, Y ) ) }.
% 0.69/1.11 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.69/1.11 times_times_int( times_times_int( X, Z ), times_times_int( Y, T ) ) }.
% 0.69/1.11 { times_times_nat( times_times_nat( X, Y ), times_times_nat( Z, T ) ) =
% 0.69/1.11 times_times_nat( times_times_nat( X, Z ), times_times_nat( Y, T ) ) }.
% 0.69/1.11 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.69/1.11 times_times_int( Z, times_times_int( times_times_int( X, Y ), T ) ) }.
% 0.69/1.11 { times_times_nat( times_times_nat( X, Y ), times_times_nat( Z, T ) ) =
% 0.69/1.11 times_times_nat( Z, times_times_nat( times_times_nat( X, Y ), T ) ) }.
% 0.69/1.11 { times_times_int( times_times_int( X, Y ), times_times_int( Z, T ) ) =
% 0.69/1.12 times_times_int( X, times_times_int( Y, times_times_int( Z, T ) ) ) }.
% 0.69/1.12 { times_times_nat( times_times_nat( X, Y ), times_times_nat( Z, T ) ) =
% 0.69/1.12 times_times_nat( X, times_times_nat( Y, times_times_nat( Z, T ) ) ) }.
% 0.69/1.12 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int(
% 0.69/1.12 times_times_int( X, Z ), Y ) }.
% 0.69/1.12 { times_times_nat( times_times_nat( X, Y ), Z ) = times_times_nat(
% 0.69/1.12 times_times_nat( X, Z ), Y ) }.
% 0.69/1.12 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int( X,
% 0.69/1.12 times_times_int( Y, Z ) ) }.
% 0.69/1.12 { times_times_nat( times_times_nat( X, Y ), Z ) = times_times_nat( X,
% 0.69/1.12 times_times_nat( Y, Z ) ) }.
% 0.69/1.12 { times_times_int( X, times_times_int( Y, Z ) ) = times_times_int(
% 0.69/1.12 times_times_int( X, Y ), Z ) }.
% 0.69/1.12 { times_times_nat( X, times_times_nat( Y, Z ) ) = times_times_nat(
% 0.69/1.12 times_times_nat( X, Y ), Z ) }.
% 0.69/1.12 { times_times_int( X, times_times_int( Y, Z ) ) = times_times_int( Y,
% 0.69/1.12 times_times_int( X, Z ) ) }.
% 0.69/1.12 { times_times_nat( X, times_times_nat( Y, Z ) ) = times_times_nat( Y,
% 0.69/1.12 times_times_nat( X, Z ) ) }.
% 0.69/1.12 { times_times_int( X, Y ) = times_times_int( Y, X ) }.
% 0.69/1.12 { times_times_nat( X, Y ) = times_times_nat( Y, X ) }.
% 0.69/1.12 { plus_plus_int( plus_plus_int( X, Y ), plus_plus_int( Z, T ) ) =
% 0.69/1.12 plus_plus_int( plus_plus_int( X, Z ), plus_plus_int( Y, T ) ) }.
% 0.69/1.12 { plus_plus_nat( plus_plus_nat( X, Y ), plus_plus_nat( Z, T ) ) =
% 0.69/1.12 plus_plus_nat( plus_plus_nat( X, Z ), plus_plus_nat( Y, T ) ) }.
% 0.69/1.12 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( plus_plus_int
% 0.69/1.12 ( X, Z ), Y ) }.
% 0.69/1.12 { plus_plus_nat( plus_plus_nat( X, Y ), Z ) = plus_plus_nat( plus_plus_nat
% 0.69/1.12 ( X, Z ), Y ) }.
% 0.69/1.12 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( X,
% 0.69/1.12 plus_plus_int( Y, Z ) ) }.
% 0.69/1.12 { plus_plus_nat( plus_plus_nat( X, Y ), Z ) = plus_plus_nat( X,
% 0.69/1.12 plus_plus_nat( Y, Z ) ) }.
% 0.69/1.12 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( plus_plus_int
% 0.69/1.12 ( X, Y ), Z ) }.
% 0.69/1.12 { plus_plus_nat( X, plus_plus_nat( Y, Z ) ) = plus_plus_nat( plus_plus_nat
% 0.69/1.12 ( X, Y ), Z ) }.
% 0.69/1.12 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( Y,
% 0.69/1.12 plus_plus_int( X, Z ) ) }.
% 0.69/1.12 { plus_plus_nat( X, plus_plus_nat( Y, Z ) ) = plus_plus_nat( Y,
% 0.69/1.12 plus_plus_nat( X, Z ) ) }.
% 0.69/1.12 { plus_plus_int( X, Y ) = plus_plus_int( Y, X ) }.
% 0.69/1.12 { plus_plus_nat( X, Y ) = plus_plus_nat( Y, X ) }.
% 0.69/1.12 { ! number_number_of_int( X ) = number_number_of_int( Y ), X = Y }.
% 0.69/1.12 { ! X = Y, number_number_of_int( X ) = number_number_of_int( Y ) }.
% 0.69/1.12 { ! number_number_of_nat( X ) = Y, Y = number_number_of_nat( X ) }.
% 0.69/1.12 { ! Y = number_number_of_nat( X ), number_number_of_nat( X ) = Y }.
% 0.69/1.12 { ! number_number_of_int( X ) = Y, Y = number_number_of_int( X ) }.
% 0.69/1.12 { ! Y = number_number_of_int( X ), number_number_of_int( X ) = Y }.
% 0.69/1.12 { ! bit1( X ) = bit1( Y ), X = Y }.
% 0.69/1.12 { ! X = Y, bit1( X ) = bit1( Y ) }.
% 0.69/1.12 { ! bit0( X ) = bit0( Y ), X = Y }.
% 0.69/1.12 { ! X = Y, bit0( X ) = bit0( Y ) }.
% 0.69/1.12 { times_times_int( times_times_int( X, Y ), Z ) = times_times_int( X,
% 0.69/1.12 times_times_int( Y, Z ) ) }.
% 0.69/1.12 { times_times_int( X, Y ) = times_times_int( Y, X ) }.
% 0.69/1.12 { number_number_of_int( X ) = X }.
% 0.69/1.12 { plus_plus_int( plus_plus_int( X, Y ), Z ) = plus_plus_int( X,
% 0.69/1.12 plus_plus_int( Y, Z ) ) }.
% 0.69/1.12 { plus_plus_int( X, plus_plus_int( Y, Z ) ) = plus_plus_int( Y,
% 0.69/1.12 plus_plus_int( X, Z ) ) }.
% 0.69/1.12 { plus_plus_int( X, Y ) = plus_plus_int( Y, X ) }.
% 0.69/1.12 { ! ord_less_int( bit1( X ), pls ), ord_less_int( X, pls ) }.
% 0.69/1.12 { ! ord_less_int( X, pls ), ord_less_int( bit1( X ), pls ) }.
% 0.69/1.12 { ! ord_less_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.12 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit0( Y ) ) }.
% 0.69/1.12 { ! ord_less_int( bit1( X ), bit0( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.12 { ! ord_less_int( X, Y ), ord_less_int( bit1( X ), bit0( Y ) ) }.
% 0.69/1.12 { ! ord_less_int( bit0( X ), pls ), ord_less_int( X, pls ) }.
% 0.69/1.12 { ! ord_less_int( X, pls ), ord_less_int( bit0( X ), pls ) }.
% 0.69/1.12 { ! ord_less_int( pls, bit0( X ) ), ord_less_int( pls, X ) }.
% 0.69/1.12 { ! ord_less_int( pls, X ), ord_less_int( pls, bit0( X ) ) }.
% 0.69/1.12 { ! ord_less_eq_int( pls, bit1( X ) ), ord_less_eq_int( pls, X ) }.
% 0.69/1.12 { ! ord_less_eq_int( pls, X ), ord_less_eq_int( pls, bit1( X ) ) }.
% 0.69/1.12 { ! ord_less_eq_int( bit0( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.12 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit0( X ), bit1( Y ) ) }.
% 0.69/1.12 { ! ord_less_eq_int( bit0( X ), bit1( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.12 { ! ord_less_eq_int( X, Y ), ord_less_eq_int( bit0( X ), bit1( Y ) ) }.
% 0.69/1.12 { ! plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls )
% 0.69/1.12 ) ) ) ) = plus_plus_int( times_times_int( number_number_of_int( bit0(
% 0.69/1.12 bit0( bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12
% 0.69/1.12 percentage equality = 0.440191, percentage horn = 0.948148
% 0.69/1.12 This is a problem with some equality
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Options Used:
% 0.69/1.12
% 0.69/1.12 useres = 1
% 0.69/1.12 useparamod = 1
% 0.69/1.12 useeqrefl = 1
% 0.69/1.12 useeqfact = 1
% 0.69/1.12 usefactor = 1
% 0.69/1.12 usesimpsplitting = 0
% 0.69/1.12 usesimpdemod = 5
% 0.69/1.12 usesimpres = 3
% 0.69/1.12
% 0.69/1.12 resimpinuse = 1000
% 0.69/1.12 resimpclauses = 20000
% 0.69/1.12 substype = eqrewr
% 0.69/1.12 backwardsubs = 1
% 0.69/1.12 selectoldest = 5
% 0.69/1.12
% 0.69/1.12 litorderings [0] = split
% 0.69/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.69/1.12
% 0.69/1.12 termordering = kbo
% 0.69/1.12
% 0.69/1.12 litapriori = 0
% 0.69/1.12 termapriori = 1
% 0.69/1.12 litaposteriori = 0
% 0.69/1.12 termaposteriori = 0
% 0.69/1.12 demodaposteriori = 0
% 0.69/1.12 ordereqreflfact = 0
% 0.69/1.12
% 0.69/1.12 litselect = negord
% 0.69/1.12
% 0.69/1.12 maxweight = 15
% 0.69/1.12 maxdepth = 30000
% 0.69/1.12 maxlength = 115
% 0.69/1.12 maxnrvars = 195
% 0.69/1.12 excuselevel = 1
% 0.69/1.12 increasemaxweight = 1
% 0.69/1.12
% 0.69/1.12 maxselected = 10000000
% 0.69/1.12 maxnrclauses = 10000000
% 0.69/1.12
% 0.69/1.12 showgenerated = 0
% 0.69/1.12 showkept = 0
% 0.69/1.12 showselected = 0
% 0.69/1.12 showdeleted = 0
% 0.69/1.12 showresimp = 1
% 0.69/1.12 showstatus = 2000
% 0.69/1.12
% 0.69/1.12 prologoutput = 0
% 0.69/1.12 nrgoals = 5000000
% 0.69/1.12 totalproof = 1
% 0.69/1.12
% 0.69/1.12 Symbols occurring in the translation:
% 0.69/1.12
% 0.69/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.12 . [1, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.69/1.12 ! [4, 1] (w:0, o:103, a:1, s:1, b:0),
% 0.69/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.12 one_one_int [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.69/1.12 t [36, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.69/1.12 ord_less_eq_int [37, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.69/1.12 pls [40, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.69/1.12 bit1 [41, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.69/1.12 bit0 [42, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.69/1.12 number_number_of_nat [43, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.69/1.12 power_power_int [44, 2] (w:1, o:142, a:1, s:1, b:0),
% 0.69/1.12 plus_plus_int [45, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.69/1.12 number_number_of_int [46, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.69/1.12 m [47, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.69/1.12 times_times_int [48, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.69/1.12 ord_less_int [49, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.69/1.12 zprime [50, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.69/1.12 s [51, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.69/1.12 twoSqu526106917sum2sq [52, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.69/1.12 plus_plus_nat [57, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.69/1.12 power_power_nat [58, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.69/1.12 times_times_nat [59, 2] (w:1, o:147, a:1, s:1, b:0),
% 0.69/1.12 one_one_nat [61, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.69/1.12 ord_less_eq_nat [83, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.69/1.12 ord_less_nat [84, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.69/1.12 skol1 [143, 0] (w:1, o:8, a:1, s:1, b:1),
% 0.69/1.12 skol2 [144, 0] (w:1, o:9, a:1, s:1, b:1),
% 0.69/1.12 skol3 [145, 0] (w:1, o:10, a:1, s:1, b:1),
% 0.69/1.12 skol4 [146, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.69/1.12 skol5 [147, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Starting Search:
% 0.69/1.12
% 0.69/1.12 *** allocated 15000 integers for clauses
% 0.69/1.12 *** allocated 22500 integers for clauses
% 0.69/1.12 *** allocated 33750 integers for clauses
% 0.69/1.12 *** allocated 50625 integers for clauses
% 0.69/1.12 *** allocated 15000 integers for termspace/termends
% 0.69/1.12
% 0.69/1.12 Bliksems!, er is een bewijs:
% 0.69/1.12 % SZS status Theorem
% 0.69/1.12 % SZS output start Refutation
% 0.69/1.12
% 0.69/1.12 (0) {G0,W3,D2,L1,V0,M1} I { ord_less_eq_int( one_one_int, t ) }.
% 0.69/1.12 (1) {G0,W26,D8,L2,V0,M2} I { ! t ==> one_one_int, plus_plus_int(
% 0.69/1.12 power_power_int( skol1, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.69/1.12 power_power_int( skol4, number_number_of_nat( bit0( bit1( pls ) ) ) ) )
% 0.69/1.12 ==> plus_plus_int( times_times_int( number_number_of_int( bit0( bit0(
% 0.69/1.12 bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12 (2) {G0,W26,D8,L2,V0,M2} I { ! ord_less_int( one_one_int, t ),
% 0.69/1.12 plus_plus_int( power_power_int( skol2, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ), power_power_int( skol5, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ) ) ==> plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.12 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12 (24) {G0,W3,D2,L1,V1,M1} I { ord_less_eq_int( X, X ) }.
% 0.69/1.12 (27) {G0,W6,D2,L2,V2,M2} I { ! ord_less_int( X, Y ), ! X = Y }.
% 0.69/1.12 (28) {G0,W9,D2,L3,V2,M3} I { ! ord_less_eq_int( X, Y ), X = Y, ord_less_int
% 0.69/1.12 ( X, Y ) }.
% 0.69/1.12 (49) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1( pls ) ) )
% 0.69/1.12 ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.12 (111) {G0,W4,D3,L1,V1,M1} I { number_number_of_int( X ) ==> X }.
% 0.69/1.12 (124) {G1,W20,D7,L1,V2,M1} I;d(49);d(111) { ! plus_plus_int(
% 0.69/1.12 power_power_int( X, plus_plus_nat( one_one_nat, one_one_nat ) ),
% 0.69/1.12 power_power_int( Y, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 0.69/1.12 plus_plus_int( times_times_int( bit0( bit0( bit1( pls ) ) ), m ),
% 0.69/1.12 one_one_int ) }.
% 0.69/1.12 (128) {G2,W3,D2,L1,V0,M1} S(1);d(49);d(111);r(124) { ! t ==> one_one_int
% 0.69/1.12 }.
% 0.69/1.12 (129) {G2,W3,D2,L1,V0,M1} S(2);d(49);d(111);r(124) { ! ord_less_int(
% 0.69/1.12 one_one_int, t ) }.
% 0.69/1.12 (390) {G3,W3,D2,L1,V0,M1} R(28,129);r(0) { t ==> one_one_int }.
% 0.69/1.12 (767) {G4,W6,D2,L2,V1,M2} P(28,128);d(390);d(390);r(27) { ! X = one_one_int
% 0.69/1.12 , ! ord_less_eq_int( X, one_one_int ) }.
% 0.69/1.12 (770) {G5,W0,D0,L0,V0,M0} Q(767);r(24) { }.
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 % SZS output end Refutation
% 0.69/1.12 found a proof!
% 0.69/1.12
% 0.69/1.12 *** allocated 22500 integers for termspace/termends
% 0.69/1.12
% 0.69/1.12 Unprocessed initial clauses:
% 0.69/1.12
% 0.69/1.12 (772) {G0,W3,D2,L1,V0,M1} { ord_less_eq_int( one_one_int, t ) }.
% 0.69/1.12 (773) {G0,W26,D8,L2,V0,M2} { ! t = one_one_int, plus_plus_int(
% 0.69/1.12 power_power_int( skol1, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.69/1.12 power_power_int( skol4, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) =
% 0.69/1.12 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.12 pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12 (774) {G0,W26,D8,L2,V0,M2} { ! ord_less_int( one_one_int, t ),
% 0.69/1.12 plus_plus_int( power_power_int( skol2, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ), power_power_int( skol5, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ) ) = plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.12 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12 (775) {G0,W11,D8,L1,V0,M1} { ord_less_int( t, plus_plus_int(
% 0.69/1.12 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.12 , one_one_int ) ) }.
% 0.69/1.12 (776) {G0,W10,D8,L1,V0,M1} { zprime( plus_plus_int( times_times_int(
% 0.69/1.12 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) )
% 0.69/1.12 }.
% 0.69/1.12 (777) {G0,W20,D9,L1,V0,M1} { plus_plus_int( power_power_int( s,
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ), one_one_int ) =
% 0.69/1.12 times_times_int( plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.12 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ), t ) }.
% 0.69/1.12 (778) {G0,W12,D9,L1,V0,M1} { twoSqu526106917sum2sq( times_times_int(
% 0.69/1.12 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.12 pls ) ) ) ), m ), one_one_int ), t ) ) }.
% 0.69/1.12 (779) {G0,W31,D9,L1,V2,M1} { power_power_int( plus_plus_int( X, Y ),
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) = plus_plus_int(
% 0.69/1.12 plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 0.69/1.12 ) ) ) ), times_times_int( times_times_int( number_number_of_int( bit0(
% 0.69/1.12 bit1( pls ) ) ), X ), Y ) ), power_power_int( Y, number_number_of_nat(
% 0.69/1.12 bit0( bit1( pls ) ) ) ) ) }.
% 0.69/1.12 (780) {G0,W50,D11,L1,V2,M1} { power_power_int( plus_plus_int( X, Y ),
% 0.69/1.12 number_number_of_nat( bit1( bit1( pls ) ) ) ) = plus_plus_int(
% 0.69/1.12 plus_plus_int( plus_plus_int( power_power_int( X, number_number_of_nat(
% 0.69/1.12 bit1( bit1( pls ) ) ) ), times_times_int( times_times_int(
% 0.69/1.12 number_number_of_int( bit1( bit1( pls ) ) ), power_power_int( X,
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) ), Y ) ), times_times_int(
% 0.69/1.12 times_times_int( number_number_of_int( bit1( bit1( pls ) ) ), X ),
% 0.69/1.12 power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) ),
% 0.69/1.12 power_power_int( Y, number_number_of_nat( bit1( bit1( pls ) ) ) ) ) }.
% 0.69/1.12 (781) {G0,W31,D8,L1,V2,M1} { power_power_nat( plus_plus_nat( X, Y ),
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) = plus_plus_nat(
% 0.69/1.12 plus_plus_nat( power_power_nat( X, number_number_of_nat( bit0( bit1( pls
% 0.69/1.12 ) ) ) ), power_power_nat( Y, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.69/1.12 ) ), times_times_nat( times_times_nat( number_number_of_nat( bit0( bit1
% 0.69/1.12 ( pls ) ) ), X ), Y ) ) }.
% 0.69/1.12 (782) {G0,W31,D8,L1,V2,M1} { power_power_int( plus_plus_int( X, Y ),
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) = plus_plus_int(
% 0.69/1.12 plus_plus_int( power_power_int( X, number_number_of_nat( bit0( bit1( pls
% 0.69/1.12 ) ) ) ), power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) )
% 0.69/1.12 ) ), times_times_int( times_times_int( number_number_of_int( bit0( bit1
% 0.69/1.12 ( pls ) ) ), X ), Y ) ) }.
% 0.69/1.12 (783) {G0,W13,D6,L1,V1,M1} { power_power_int( number_number_of_int( X ),
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) = times_times_int(
% 0.69/1.12 number_number_of_int( X ), number_number_of_int( X ) ) }.
% 0.69/1.12 (784) {G0,W13,D6,L1,V1,M1} { power_power_nat( number_number_of_nat( X ),
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) = times_times_nat(
% 0.69/1.12 number_number_of_nat( X ), number_number_of_nat( X ) ) }.
% 0.69/1.12 (785) {G0,W15,D7,L1,V1,M1} { times_times_int( X, power_power_int( X,
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = power_power_int( X,
% 0.69/1.12 number_number_of_nat( bit1( bit1( pls ) ) ) ) }.
% 0.69/1.12 (786) {G0,W8,D6,L1,V0,M1} { power_power_nat( one_one_nat,
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) = one_one_nat }.
% 0.69/1.12 (787) {G0,W8,D6,L1,V0,M1} { power_power_int( one_one_int,
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) = one_one_int }.
% 0.69/1.12 (788) {G0,W10,D6,L1,V1,M1} { times_times_int( X, X ) = power_power_int( X
% 0.69/1.12 , number_number_of_nat( bit0( bit1( pls ) ) ) ) }.
% 0.69/1.12 (789) {G0,W10,D6,L1,V1,M1} { times_times_nat( X, X ) = power_power_nat( X
% 0.69/1.12 , number_number_of_nat( bit0( bit1( pls ) ) ) ) }.
% 0.69/1.12 (790) {G0,W10,D6,L1,V1,M1} { power_power_int( X, number_number_of_nat(
% 0.69/1.12 bit0( bit1( pls ) ) ) ) = times_times_int( X, X ) }.
% 0.69/1.12 (791) {G0,W10,D6,L1,V1,M1} { power_power_nat( X, number_number_of_nat(
% 0.69/1.12 bit0( bit1( pls ) ) ) ) = times_times_nat( X, X ) }.
% 0.69/1.12 (792) {G0,W16,D7,L1,V2,M1} { power_power_int( X, times_times_nat(
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ), Y ) ) = times_times_int(
% 0.69/1.12 power_power_int( X, Y ), power_power_int( X, Y ) ) }.
% 0.69/1.12 (793) {G0,W16,D7,L1,V2,M1} { power_power_nat( X, times_times_nat(
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ), Y ) ) = times_times_nat(
% 0.69/1.12 power_power_nat( X, Y ), power_power_nat( X, Y ) ) }.
% 0.69/1.12 (794) {G0,W10,D5,L1,V1,M1} { plus_plus_int( one_one_int,
% 0.69/1.12 number_number_of_int( X ) ) = number_number_of_int( plus_plus_int( bit1(
% 0.69/1.12 pls ), X ) ) }.
% 0.69/1.12 (795) {G0,W10,D5,L1,V1,M1} { plus_plus_int( number_number_of_int( X ),
% 0.69/1.12 one_one_int ) = number_number_of_int( plus_plus_int( X, bit1( pls ) ) )
% 0.69/1.12 }.
% 0.69/1.12 (796) {G0,W8,D5,L1,V0,M1} { plus_plus_int( one_one_int, one_one_int ) =
% 0.69/1.12 number_number_of_int( bit0( bit1( pls ) ) ) }.
% 0.69/1.12 (797) {G0,W20,D9,L1,V0,M1} { plus_plus_int( power_power_int( s,
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ), one_one_int ) =
% 0.69/1.12 times_times_int( plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.12 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ), skol3 ) }.
% 0.69/1.12 (798) {G0,W3,D2,L1,V1,M1} { ord_less_eq_int( X, X ) }.
% 0.69/1.12 (799) {G0,W6,D2,L2,V2,M2} { ord_less_eq_int( X, Y ), ord_less_eq_int( Y, X
% 0.69/1.12 ) }.
% 0.69/1.12 (800) {G0,W6,D2,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_eq_int( X, Y
% 0.69/1.12 ) }.
% 0.69/1.12 (801) {G0,W6,D2,L2,V2,M2} { ! ord_less_int( X, Y ), ! X = Y }.
% 0.69/1.12 (802) {G0,W9,D2,L3,V2,M3} { ! ord_less_eq_int( X, Y ), X = Y, ord_less_int
% 0.69/1.12 ( X, Y ) }.
% 0.69/1.12 (803) {G0,W9,D2,L3,V2,M3} { ord_less_int( X, Y ), X = Y, ord_less_int( Y,
% 0.69/1.12 X ) }.
% 0.69/1.12 (804) {G0,W9,D2,L3,V3,M3} { ! ord_less_eq_int( X, Y ), ! ord_less_eq_int(
% 0.69/1.12 Y, Z ), ord_less_eq_int( X, Z ) }.
% 0.69/1.12 (805) {G0,W9,D2,L3,V2,M3} { ! ord_less_eq_int( X, Y ), ! ord_less_eq_int(
% 0.69/1.12 Y, X ), X = Y }.
% 0.69/1.12 (806) {G0,W11,D4,L1,V3,M1} { power_power_int( power_power_int( X, Y ), Z )
% 0.69/1.12 = power_power_int( X, times_times_nat( Y, Z ) ) }.
% 0.69/1.12 (807) {G0,W11,D4,L1,V3,M1} { power_power_nat( power_power_nat( X, Y ), Z )
% 0.69/1.12 = power_power_nat( X, times_times_nat( Y, Z ) ) }.
% 0.69/1.12 (808) {G0,W5,D3,L1,V1,M1} { power_power_int( X, one_one_nat ) = X }.
% 0.69/1.12 (809) {G0,W5,D3,L1,V1,M1} { power_power_nat( X, one_one_nat ) = X }.
% 0.69/1.12 (810) {G0,W11,D4,L1,V3,M1} { power_power_int( power_power_int( X, Y ), Z )
% 0.69/1.12 = power_power_int( X, times_times_nat( Y, Z ) ) }.
% 0.69/1.12 (811) {G0,W10,D3,L2,V2,M2} { ! ord_less_eq_nat( number_number_of_nat( X )
% 0.69/1.12 , number_number_of_nat( Y ) ), ! ord_less_nat( number_number_of_nat( Y )
% 0.69/1.12 , number_number_of_nat( X ) ) }.
% 0.69/1.12 (812) {G0,W10,D3,L2,V2,M2} { ord_less_nat( number_number_of_nat( Y ),
% 0.69/1.12 number_number_of_nat( X ) ), ord_less_eq_nat( number_number_of_nat( X ),
% 0.69/1.12 number_number_of_nat( Y ) ) }.
% 0.69/1.12 (813) {G0,W10,D3,L2,V2,M2} { ! ord_less_eq_int( number_number_of_int( X )
% 0.69/1.12 , number_number_of_int( Y ) ), ! ord_less_int( number_number_of_int( Y )
% 0.69/1.12 , number_number_of_int( X ) ) }.
% 0.69/1.12 (814) {G0,W10,D3,L2,V2,M2} { ord_less_int( number_number_of_int( Y ),
% 0.69/1.12 number_number_of_int( X ) ), ord_less_eq_int( number_number_of_int( X ),
% 0.69/1.12 number_number_of_int( Y ) ) }.
% 0.69/1.12 (815) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( number_number_of_int( X ),
% 0.69/1.12 number_number_of_int( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.12 (816) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int(
% 0.69/1.12 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 0.69/1.12 (817) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( number_number_of_int( X ),
% 0.69/1.12 number_number_of_int( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (818) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 0.69/1.12 (819) {G0,W13,D3,L3,V4,M3} { ! ord_less_int( X, Y ), ! ord_less_eq_int( Z
% 0.69/1.12 , T ), ord_less_int( plus_plus_int( X, Z ), plus_plus_int( Y, T ) ) }.
% 0.69/1.12 (820) {G0,W13,D4,L1,V3,M1} { times_times_int( power_power_int( X, Y ),
% 0.69/1.12 power_power_int( X, Z ) ) = power_power_int( X, plus_plus_nat( Y, Z ) )
% 0.69/1.12 }.
% 0.69/1.12 (821) {G0,W13,D4,L1,V3,M1} { times_times_nat( power_power_nat( X, Y ),
% 0.69/1.12 power_power_nat( X, Z ) ) = power_power_nat( X, plus_plus_nat( Y, Z ) )
% 0.69/1.12 }.
% 0.69/1.12 (822) {G0,W13,D4,L1,V3,M1} { power_power_int( X, plus_plus_nat( Y, Z ) ) =
% 0.69/1.12 times_times_int( power_power_int( X, Y ), power_power_int( X, Z ) ) }.
% 0.69/1.12 (823) {G0,W10,D6,L1,V1,M1} { times_times_nat( number_number_of_nat( bit0(
% 0.69/1.12 bit1( pls ) ) ), X ) = plus_plus_nat( X, X ) }.
% 0.69/1.12 (824) {G0,W10,D6,L1,V1,M1} { times_times_nat( X, number_number_of_nat(
% 0.69/1.12 bit0( bit1( pls ) ) ) ) = plus_plus_nat( X, X ) }.
% 0.69/1.12 (825) {G0,W8,D5,L1,V0,M1} { plus_plus_nat( one_one_nat, one_one_nat ) =
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) }.
% 0.69/1.12 (826) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit1( X ), bit1( Y ) ),
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 (827) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit1( X
% 0.69/1.12 ), bit1( Y ) ) }.
% 0.69/1.12 (828) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit1( X ), bit1( Y ) ),
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 (829) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit1( X
% 0.69/1.12 ), bit1( Y ) ) }.
% 0.69/1.12 (830) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( bit1( X ), bit1( Y ) ),
% 0.69/1.12 ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (831) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 bit1( X ), bit1( Y ) ) }.
% 0.69/1.12 (832) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( bit1( X ), bit1( Y ) ),
% 0.69/1.12 ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (833) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 bit1( X ), bit1( Y ) ) }.
% 0.69/1.12 (834) {G0,W3,D2,L1,V0,M1} { ! ord_less_int( pls, pls ) }.
% 0.69/1.12 (835) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit0( X ), bit0( Y ) ),
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 (836) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit0( X
% 0.69/1.12 ), bit0( Y ) ) }.
% 0.69/1.12 (837) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit0( X ), bit0( Y ) ),
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 (838) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit0( X
% 0.69/1.12 ), bit0( Y ) ) }.
% 0.69/1.12 (839) {G0,W3,D2,L1,V0,M1} { ord_less_eq_int( pls, pls ) }.
% 0.69/1.12 (840) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( bit0( X ), bit0( Y ) ),
% 0.69/1.12 ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (841) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 bit0( X ), bit0( Y ) ) }.
% 0.69/1.12 (842) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( bit0( X ), bit0( Y ) ),
% 0.69/1.12 ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (843) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 bit0( X ), bit0( Y ) ) }.
% 0.69/1.12 (844) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( number_number_of_int( X ),
% 0.69/1.12 number_number_of_int( Y ) ), ord_less_int( X, Y ) }.
% 0.69/1.12 (845) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int(
% 0.69/1.12 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 0.69/1.12 (846) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( number_number_of_int( X ),
% 0.69/1.12 number_number_of_int( Y ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (847) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 number_number_of_int( X ), number_number_of_int( Y ) ) }.
% 0.69/1.12 (848) {G0,W10,D3,L2,V3,M2} { ! ord_less_int( X, Y ), ord_less_int(
% 0.69/1.12 plus_plus_int( X, Z ), plus_plus_int( Y, Z ) ) }.
% 0.69/1.12 (849) {G0,W10,D3,L2,V3,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 plus_plus_int( Z, X ), plus_plus_int( Z, Y ) ) }.
% 0.69/1.12 (850) {G0,W11,D4,L2,V2,M2} { ! ord_less_int( Y, pls ), plus_plus_nat(
% 0.69/1.12 number_number_of_nat( Y ), number_number_of_nat( X ) ) =
% 0.69/1.12 number_number_of_nat( X ) }.
% 0.69/1.12 (851) {G0,W14,D4,L3,V2,M3} { ord_less_int( Y, pls ), ! ord_less_int( X,
% 0.69/1.12 pls ), plus_plus_nat( number_number_of_nat( Y ), number_number_of_nat( X
% 0.69/1.12 ) ) = number_number_of_nat( Y ) }.
% 0.69/1.12 (852) {G0,W16,D4,L3,V2,M3} { ord_less_int( Y, pls ), ord_less_int( X, pls
% 0.69/1.12 ), plus_plus_nat( number_number_of_nat( Y ), number_number_of_nat( X ) )
% 0.69/1.12 = number_number_of_nat( plus_plus_int( Y, X ) ) }.
% 0.69/1.12 (853) {G0,W5,D4,L1,V0,M1} { number_number_of_nat( bit1( pls ) ) =
% 0.69/1.12 one_one_nat }.
% 0.69/1.12 (854) {G0,W5,D4,L1,V0,M1} { one_one_nat = number_number_of_nat( bit1( pls
% 0.69/1.12 ) ) }.
% 0.69/1.12 (855) {G0,W7,D3,L2,V1,M2} { ! ord_less_eq_int( bit1( X ), pls ),
% 0.69/1.12 ord_less_int( X, pls ) }.
% 0.69/1.12 (856) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, pls ), ord_less_eq_int(
% 0.69/1.12 bit1( X ), pls ) }.
% 0.69/1.12 (857) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( pls, bit1( X ) ),
% 0.69/1.12 ord_less_eq_int( pls, X ) }.
% 0.69/1.12 (858) {G0,W7,D3,L2,V1,M2} { ! ord_less_eq_int( pls, X ), ord_less_int( pls
% 0.69/1.12 , bit1( X ) ) }.
% 0.69/1.12 (859) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( bit1( X ), bit0( Y ) ),
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 (860) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_eq_int( bit1
% 0.69/1.12 ( X ), bit0( Y ) ) }.
% 0.69/1.12 (861) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( bit1( X ), bit0( Y ) ),
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 (862) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_eq_int( bit1
% 0.69/1.12 ( X ), bit0( Y ) ) }.
% 0.69/1.12 (863) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit0( X ), bit1( Y ) ),
% 0.69/1.12 ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (864) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_int( bit0
% 0.69/1.12 ( X ), bit1( Y ) ) }.
% 0.69/1.12 (865) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit0( X ), bit1( Y ) ),
% 0.69/1.12 ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (866) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_int( bit0
% 0.69/1.12 ( X ), bit1( Y ) ) }.
% 0.69/1.12 (867) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 plus_plus_int( X, one_one_int ), Y ) }.
% 0.69/1.12 (868) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( plus_plus_int( X,
% 0.69/1.12 one_one_int ), Y ), ord_less_int( X, Y ) }.
% 0.69/1.12 (869) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 plus_plus_int( X, one_one_int ), Y ) }.
% 0.69/1.12 (870) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, plus_plus_int( Y,
% 0.69/1.12 one_one_int ) ), ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (871) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_int( X,
% 0.69/1.12 plus_plus_int( Y, one_one_int ) ) }.
% 0.69/1.12 (872) {G0,W5,D5,L1,V0,M1} { zprime( number_number_of_int( bit0( bit1( pls
% 0.69/1.12 ) ) ) ) }.
% 0.69/1.12 (873) {G0,W8,D3,L3,V2,M3} { ! twoSqu526106917sum2sq( X ), !
% 0.69/1.12 twoSqu526106917sum2sq( Y ), twoSqu526106917sum2sq( times_times_int( X, Y
% 0.69/1.12 ) ) }.
% 0.69/1.12 (874) {G0,W15,D4,L1,V4,M1} { times_times_int( times_times_int( X, Y ),
% 0.69/1.12 times_times_int( Z, T ) ) = times_times_int( times_times_int( X, Z ),
% 0.69/1.12 times_times_int( Y, T ) ) }.
% 0.69/1.12 (875) {G0,W15,D4,L1,V4,M1} { times_times_nat( times_times_nat( X, Y ),
% 0.69/1.12 times_times_nat( Z, T ) ) = times_times_nat( times_times_nat( X, Z ),
% 0.69/1.12 times_times_nat( Y, T ) ) }.
% 0.69/1.12 (876) {G0,W15,D5,L1,V4,M1} { times_times_int( times_times_int( X, Y ),
% 0.69/1.12 times_times_int( Z, T ) ) = times_times_int( Z, times_times_int(
% 0.69/1.12 times_times_int( X, Y ), T ) ) }.
% 0.69/1.12 (877) {G0,W15,D5,L1,V4,M1} { times_times_nat( times_times_nat( X, Y ),
% 0.69/1.12 times_times_nat( Z, T ) ) = times_times_nat( Z, times_times_nat(
% 0.69/1.12 times_times_nat( X, Y ), T ) ) }.
% 0.69/1.12 (878) {G0,W15,D5,L1,V4,M1} { times_times_int( times_times_int( X, Y ),
% 0.69/1.12 times_times_int( Z, T ) ) = times_times_int( X, times_times_int( Y,
% 0.69/1.12 times_times_int( Z, T ) ) ) }.
% 0.69/1.12 (879) {G0,W15,D5,L1,V4,M1} { times_times_nat( times_times_nat( X, Y ),
% 0.69/1.12 times_times_nat( Z, T ) ) = times_times_nat( X, times_times_nat( Y,
% 0.69/1.12 times_times_nat( Z, T ) ) ) }.
% 0.69/1.12 (880) {G0,W11,D4,L1,V3,M1} { times_times_int( times_times_int( X, Y ), Z )
% 0.69/1.12 = times_times_int( times_times_int( X, Z ), Y ) }.
% 0.69/1.12 (881) {G0,W11,D4,L1,V3,M1} { times_times_nat( times_times_nat( X, Y ), Z )
% 0.69/1.12 = times_times_nat( times_times_nat( X, Z ), Y ) }.
% 0.69/1.12 (882) {G0,W11,D4,L1,V3,M1} { times_times_int( times_times_int( X, Y ), Z )
% 0.69/1.12 = times_times_int( X, times_times_int( Y, Z ) ) }.
% 0.69/1.12 (883) {G0,W11,D4,L1,V3,M1} { times_times_nat( times_times_nat( X, Y ), Z )
% 0.69/1.12 = times_times_nat( X, times_times_nat( Y, Z ) ) }.
% 0.69/1.12 (884) {G0,W11,D4,L1,V3,M1} { times_times_int( X, times_times_int( Y, Z ) )
% 0.69/1.12 = times_times_int( times_times_int( X, Y ), Z ) }.
% 0.69/1.12 (885) {G0,W11,D4,L1,V3,M1} { times_times_nat( X, times_times_nat( Y, Z ) )
% 0.69/1.12 = times_times_nat( times_times_nat( X, Y ), Z ) }.
% 0.69/1.12 (886) {G0,W11,D4,L1,V3,M1} { times_times_int( X, times_times_int( Y, Z ) )
% 0.69/1.12 = times_times_int( Y, times_times_int( X, Z ) ) }.
% 0.69/1.12 (887) {G0,W11,D4,L1,V3,M1} { times_times_nat( X, times_times_nat( Y, Z ) )
% 0.69/1.12 = times_times_nat( Y, times_times_nat( X, Z ) ) }.
% 0.69/1.12 (888) {G0,W7,D3,L1,V2,M1} { times_times_int( X, Y ) = times_times_int( Y,
% 0.69/1.12 X ) }.
% 0.69/1.12 (889) {G0,W7,D3,L1,V2,M1} { times_times_nat( X, Y ) = times_times_nat( Y,
% 0.69/1.12 X ) }.
% 0.69/1.12 (890) {G0,W15,D4,L1,V4,M1} { plus_plus_int( plus_plus_int( X, Y ),
% 0.69/1.12 plus_plus_int( Z, T ) ) = plus_plus_int( plus_plus_int( X, Z ),
% 0.69/1.12 plus_plus_int( Y, T ) ) }.
% 0.69/1.12 (891) {G0,W15,D4,L1,V4,M1} { plus_plus_nat( plus_plus_nat( X, Y ),
% 0.69/1.12 plus_plus_nat( Z, T ) ) = plus_plus_nat( plus_plus_nat( X, Z ),
% 0.69/1.12 plus_plus_nat( Y, T ) ) }.
% 0.69/1.12 (892) {G0,W11,D4,L1,V3,M1} { plus_plus_int( plus_plus_int( X, Y ), Z ) =
% 0.69/1.12 plus_plus_int( plus_plus_int( X, Z ), Y ) }.
% 0.69/1.12 (893) {G0,W11,D4,L1,V3,M1} { plus_plus_nat( plus_plus_nat( X, Y ), Z ) =
% 0.69/1.12 plus_plus_nat( plus_plus_nat( X, Z ), Y ) }.
% 0.69/1.12 (894) {G0,W11,D4,L1,V3,M1} { plus_plus_int( plus_plus_int( X, Y ), Z ) =
% 0.69/1.12 plus_plus_int( X, plus_plus_int( Y, Z ) ) }.
% 0.69/1.12 (895) {G0,W11,D4,L1,V3,M1} { plus_plus_nat( plus_plus_nat( X, Y ), Z ) =
% 0.69/1.12 plus_plus_nat( X, plus_plus_nat( Y, Z ) ) }.
% 0.69/1.12 (896) {G0,W11,D4,L1,V3,M1} { plus_plus_int( X, plus_plus_int( Y, Z ) ) =
% 0.69/1.12 plus_plus_int( plus_plus_int( X, Y ), Z ) }.
% 0.69/1.12 (897) {G0,W11,D4,L1,V3,M1} { plus_plus_nat( X, plus_plus_nat( Y, Z ) ) =
% 0.69/1.12 plus_plus_nat( plus_plus_nat( X, Y ), Z ) }.
% 0.69/1.12 (898) {G0,W11,D4,L1,V3,M1} { plus_plus_int( X, plus_plus_int( Y, Z ) ) =
% 0.69/1.12 plus_plus_int( Y, plus_plus_int( X, Z ) ) }.
% 0.69/1.12 (899) {G0,W11,D4,L1,V3,M1} { plus_plus_nat( X, plus_plus_nat( Y, Z ) ) =
% 0.69/1.12 plus_plus_nat( Y, plus_plus_nat( X, Z ) ) }.
% 0.69/1.12 (900) {G0,W7,D3,L1,V2,M1} { plus_plus_int( X, Y ) = plus_plus_int( Y, X )
% 0.69/1.12 }.
% 0.69/1.12 (901) {G0,W7,D3,L1,V2,M1} { plus_plus_nat( X, Y ) = plus_plus_nat( Y, X )
% 0.69/1.12 }.
% 0.69/1.12 (902) {G0,W8,D3,L2,V2,M2} { ! number_number_of_int( X ) =
% 0.69/1.12 number_number_of_int( Y ), X = Y }.
% 0.69/1.12 (903) {G0,W8,D3,L2,V2,M2} { ! X = Y, number_number_of_int( X ) =
% 0.69/1.12 number_number_of_int( Y ) }.
% 0.69/1.12 (904) {G0,W8,D3,L2,V2,M2} { ! number_number_of_nat( X ) = Y, Y =
% 0.69/1.12 number_number_of_nat( X ) }.
% 0.69/1.12 (905) {G0,W8,D3,L2,V2,M2} { ! Y = number_number_of_nat( X ),
% 0.69/1.12 number_number_of_nat( X ) = Y }.
% 0.69/1.12 (906) {G0,W8,D3,L2,V2,M2} { ! number_number_of_int( X ) = Y, Y =
% 0.69/1.12 number_number_of_int( X ) }.
% 0.69/1.12 (907) {G0,W8,D3,L2,V2,M2} { ! Y = number_number_of_int( X ),
% 0.69/1.12 number_number_of_int( X ) = Y }.
% 0.69/1.12 (908) {G0,W8,D3,L2,V2,M2} { ! bit1( X ) = bit1( Y ), X = Y }.
% 0.69/1.12 (909) {G0,W8,D3,L2,V2,M2} { ! X = Y, bit1( X ) = bit1( Y ) }.
% 0.69/1.12 (910) {G0,W8,D3,L2,V2,M2} { ! bit0( X ) = bit0( Y ), X = Y }.
% 0.69/1.12 (911) {G0,W8,D3,L2,V2,M2} { ! X = Y, bit0( X ) = bit0( Y ) }.
% 0.69/1.12 (912) {G0,W11,D4,L1,V3,M1} { times_times_int( times_times_int( X, Y ), Z )
% 0.69/1.12 = times_times_int( X, times_times_int( Y, Z ) ) }.
% 0.69/1.12 (913) {G0,W7,D3,L1,V2,M1} { times_times_int( X, Y ) = times_times_int( Y,
% 0.69/1.12 X ) }.
% 0.69/1.12 (914) {G0,W4,D3,L1,V1,M1} { number_number_of_int( X ) = X }.
% 0.69/1.12 (915) {G0,W11,D4,L1,V3,M1} { plus_plus_int( plus_plus_int( X, Y ), Z ) =
% 0.69/1.12 plus_plus_int( X, plus_plus_int( Y, Z ) ) }.
% 0.69/1.12 (916) {G0,W11,D4,L1,V3,M1} { plus_plus_int( X, plus_plus_int( Y, Z ) ) =
% 0.69/1.12 plus_plus_int( Y, plus_plus_int( X, Z ) ) }.
% 0.69/1.12 (917) {G0,W7,D3,L1,V2,M1} { plus_plus_int( X, Y ) = plus_plus_int( Y, X )
% 0.69/1.12 }.
% 0.69/1.12 (918) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( bit1( X ), pls ), ord_less_int
% 0.69/1.12 ( X, pls ) }.
% 0.69/1.12 (919) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, pls ), ord_less_int( bit1(
% 0.69/1.12 X ), pls ) }.
% 0.69/1.12 (920) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit1( X ), bit0( Y ) ),
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 (921) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit1( X
% 0.69/1.12 ), bit0( Y ) ) }.
% 0.69/1.12 (922) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( bit1( X ), bit0( Y ) ),
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 (923) {G0,W8,D3,L2,V2,M2} { ! ord_less_int( X, Y ), ord_less_int( bit1( X
% 0.69/1.12 ), bit0( Y ) ) }.
% 0.69/1.12 (924) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( bit0( X ), pls ), ord_less_int
% 0.69/1.12 ( X, pls ) }.
% 0.69/1.12 (925) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( X, pls ), ord_less_int( bit0(
% 0.69/1.12 X ), pls ) }.
% 0.69/1.12 (926) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( pls, bit0( X ) ), ord_less_int
% 0.69/1.12 ( pls, X ) }.
% 0.69/1.12 (927) {G0,W7,D3,L2,V1,M2} { ! ord_less_int( pls, X ), ord_less_int( pls,
% 0.69/1.12 bit0( X ) ) }.
% 0.69/1.12 (928) {G0,W7,D3,L2,V1,M2} { ! ord_less_eq_int( pls, bit1( X ) ),
% 0.69/1.12 ord_less_eq_int( pls, X ) }.
% 0.69/1.12 (929) {G0,W7,D3,L2,V1,M2} { ! ord_less_eq_int( pls, X ), ord_less_eq_int(
% 0.69/1.12 pls, bit1( X ) ) }.
% 0.69/1.12 (930) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( bit0( X ), bit1( Y ) ),
% 0.69/1.12 ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (931) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 bit0( X ), bit1( Y ) ) }.
% 0.69/1.12 (932) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( bit0( X ), bit1( Y ) ),
% 0.69/1.12 ord_less_eq_int( X, Y ) }.
% 0.69/1.12 (933) {G0,W8,D3,L2,V2,M2} { ! ord_less_eq_int( X, Y ), ord_less_eq_int(
% 0.69/1.12 bit0( X ), bit1( Y ) ) }.
% 0.69/1.12 (934) {G0,W23,D8,L1,V2,M1} { ! plus_plus_int( power_power_int( X,
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 0.69/1.12 number_number_of_nat( bit0( bit1( pls ) ) ) ) ) = plus_plus_int(
% 0.69/1.12 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.12 , one_one_int ) }.
% 0.69/1.12
% 0.69/1.12
% 0.69/1.12 Total Proof:
% 0.69/1.12
% 0.69/1.12 subsumption: (0) {G0,W3,D2,L1,V0,M1} I { ord_less_eq_int( one_one_int, t )
% 0.69/1.12 }.
% 0.69/1.12 parent0: (772) {G0,W3,D2,L1,V0,M1} { ord_less_eq_int( one_one_int, t ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (1) {G0,W26,D8,L2,V0,M2} I { ! t ==> one_one_int,
% 0.69/1.12 plus_plus_int( power_power_int( skol1, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ), power_power_int( skol4, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ) ) ==> plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.12 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12 parent0: (773) {G0,W26,D8,L2,V0,M2} { ! t = one_one_int, plus_plus_int(
% 0.69/1.12 power_power_int( skol1, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.69/1.12 power_power_int( skol4, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) =
% 0.69/1.12 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.12 pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 1 ==> 1
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 *** allocated 75937 integers for clauses
% 0.69/1.12 subsumption: (2) {G0,W26,D8,L2,V0,M2} I { ! ord_less_int( one_one_int, t )
% 0.69/1.12 , plus_plus_int( power_power_int( skol2, number_number_of_nat( bit0( bit1
% 0.69/1.12 ( pls ) ) ) ), power_power_int( skol5, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ) ) ==> plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.12 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12 parent0: (774) {G0,W26,D8,L2,V0,M2} { ! ord_less_int( one_one_int, t ),
% 0.69/1.12 plus_plus_int( power_power_int( skol2, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ), power_power_int( skol5, number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) ) ) = plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.12 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 1 ==> 1
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (24) {G0,W3,D2,L1,V1,M1} I { ord_less_eq_int( X, X ) }.
% 0.69/1.12 parent0: (798) {G0,W3,D2,L1,V1,M1} { ord_less_eq_int( X, X ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (27) {G0,W6,D2,L2,V2,M2} I { ! ord_less_int( X, Y ), ! X = Y
% 0.69/1.12 }.
% 0.69/1.12 parent0: (801) {G0,W6,D2,L2,V2,M2} { ! ord_less_int( X, Y ), ! X = Y }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 Y := Y
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 1 ==> 1
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (28) {G0,W9,D2,L3,V2,M3} I { ! ord_less_eq_int( X, Y ), X = Y
% 0.69/1.12 , ord_less_int( X, Y ) }.
% 0.69/1.12 parent0: (802) {G0,W9,D2,L3,V2,M3} { ! ord_less_eq_int( X, Y ), X = Y,
% 0.69/1.12 ord_less_int( X, Y ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 Y := Y
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 1 ==> 1
% 0.69/1.12 2 ==> 2
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 eqswap: (1059) {G0,W8,D5,L1,V0,M1} { number_number_of_nat( bit0( bit1( pls
% 0.69/1.12 ) ) ) = plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.12 parent0[0]: (825) {G0,W8,D5,L1,V0,M1} { plus_plus_nat( one_one_nat,
% 0.69/1.12 one_one_nat ) = number_number_of_nat( bit0( bit1( pls ) ) ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (49) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1
% 0.69/1.12 ( pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.12 parent0: (1059) {G0,W8,D5,L1,V0,M1} { number_number_of_nat( bit0( bit1(
% 0.69/1.12 pls ) ) ) = plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.12 substitution0:
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 subsumption: (111) {G0,W4,D3,L1,V1,M1} I { number_number_of_int( X ) ==> X
% 0.69/1.12 }.
% 0.69/1.12 parent0: (914) {G0,W4,D3,L1,V1,M1} { number_number_of_int( X ) = X }.
% 0.69/1.12 substitution0:
% 0.69/1.12 X := X
% 0.69/1.12 end
% 0.69/1.12 permutation0:
% 0.69/1.12 0 ==> 0
% 0.69/1.12 end
% 0.69/1.12
% 0.69/1.12 paramod: (1851) {G1,W22,D8,L1,V2,M1} { ! plus_plus_int( power_power_int( X
% 0.69/1.12 , number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int( Y,
% 0.69/1.12 plus_plus_nat( one_one_nat, one_one_nat ) ) ) = plus_plus_int(
% 0.69/1.12 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.12 , one_one_int ) }.
% 0.69/1.12 parent0[0]: (49) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 0.69/1.13 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.13 parent1[0; 11]: (934) {G0,W23,D8,L1,V2,M1} { ! plus_plus_int(
% 0.69/1.13 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.69/1.13 power_power_int( Y, number_number_of_nat( bit0( bit1( pls ) ) ) ) ) =
% 0.69/1.13 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.13 pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 paramod: (1852) {G1,W21,D8,L1,V2,M1} { ! plus_plus_int( power_power_int( X
% 0.69/1.13 , plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int( Y,
% 0.69/1.13 plus_plus_nat( one_one_nat, one_one_nat ) ) ) = plus_plus_int(
% 0.69/1.13 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.13 , one_one_int ) }.
% 0.69/1.13 parent0[0]: (49) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 0.69/1.13 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.13 parent1[0; 5]: (1851) {G1,W22,D8,L1,V2,M1} { ! plus_plus_int(
% 0.69/1.13 power_power_int( X, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.69/1.13 power_power_int( Y, plus_plus_nat( one_one_nat, one_one_nat ) ) ) =
% 0.69/1.13 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.13 pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 paramod: (1855) {G1,W20,D7,L1,V2,M1} { ! plus_plus_int( power_power_int( X
% 0.69/1.13 , plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int( Y,
% 0.69/1.13 plus_plus_nat( one_one_nat, one_one_nat ) ) ) = plus_plus_int(
% 0.69/1.13 times_times_int( bit0( bit0( bit1( pls ) ) ), m ), one_one_int ) }.
% 0.69/1.13 parent0[0]: (111) {G0,W4,D3,L1,V1,M1} I { number_number_of_int( X ) ==> X
% 0.69/1.13 }.
% 0.69/1.13 parent1[0; 15]: (1852) {G1,W21,D8,L1,V2,M1} { ! plus_plus_int(
% 0.69/1.13 power_power_int( X, plus_plus_nat( one_one_nat, one_one_nat ) ),
% 0.69/1.13 power_power_int( Y, plus_plus_nat( one_one_nat, one_one_nat ) ) ) =
% 0.69/1.13 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.13 pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := bit0( bit0( bit1( pls ) ) )
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (124) {G1,W20,D7,L1,V2,M1} I;d(49);d(111) { ! plus_plus_int(
% 0.69/1.13 power_power_int( X, plus_plus_nat( one_one_nat, one_one_nat ) ),
% 0.69/1.13 power_power_int( Y, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 0.69/1.13 plus_plus_int( times_times_int( bit0( bit0( bit1( pls ) ) ), m ),
% 0.69/1.13 one_one_int ) }.
% 0.69/1.13 parent0: (1855) {G1,W20,D7,L1,V2,M1} { ! plus_plus_int( power_power_int( X
% 0.69/1.13 , plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int( Y,
% 0.69/1.13 plus_plus_nat( one_one_nat, one_one_nat ) ) ) = plus_plus_int(
% 0.69/1.13 times_times_int( bit0( bit0( bit1( pls ) ) ), m ), one_one_int ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 paramod: (1864) {G1,W25,D8,L2,V0,M2} { plus_plus_int( power_power_int(
% 0.69/1.13 skol1, number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int(
% 0.69/1.13 skol4, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> plus_plus_int(
% 0.69/1.13 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.13 , one_one_int ), ! t ==> one_one_int }.
% 0.69/1.13 parent0[0]: (49) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 0.69/1.13 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.13 parent1[1; 10]: (1) {G0,W26,D8,L2,V0,M2} I { ! t ==> one_one_int,
% 0.69/1.13 plus_plus_int( power_power_int( skol1, number_number_of_nat( bit0( bit1(
% 0.69/1.13 pls ) ) ) ), power_power_int( skol4, number_number_of_nat( bit0( bit1(
% 0.69/1.13 pls ) ) ) ) ) ==> plus_plus_int( times_times_int( number_number_of_int(
% 0.69/1.13 bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 paramod: (1865) {G1,W24,D8,L2,V0,M2} { plus_plus_int( power_power_int(
% 0.69/1.13 skol1, plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int(
% 0.69/1.13 skol4, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> plus_plus_int(
% 0.69/1.13 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.13 , one_one_int ), ! t ==> one_one_int }.
% 0.69/1.13 parent0[0]: (49) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 0.69/1.13 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.13 parent1[0; 4]: (1864) {G1,W25,D8,L2,V0,M2} { plus_plus_int(
% 0.69/1.13 power_power_int( skol1, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.69/1.13 power_power_int( skol4, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 0.69/1.13 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.13 pls ) ) ) ), m ), one_one_int ), ! t ==> one_one_int }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 paramod: (1867) {G1,W23,D7,L2,V0,M2} { plus_plus_int( power_power_int(
% 0.69/1.13 skol1, plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int(
% 0.69/1.13 skol4, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> plus_plus_int(
% 0.69/1.13 times_times_int( bit0( bit0( bit1( pls ) ) ), m ), one_one_int ), ! t ==>
% 0.69/1.13 one_one_int }.
% 0.69/1.13 parent0[0]: (111) {G0,W4,D3,L1,V1,M1} I { number_number_of_int( X ) ==> X
% 0.69/1.13 }.
% 0.69/1.13 parent1[0; 14]: (1865) {G1,W24,D8,L2,V0,M2} { plus_plus_int(
% 0.69/1.13 power_power_int( skol1, plus_plus_nat( one_one_nat, one_one_nat ) ),
% 0.69/1.13 power_power_int( skol4, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 0.69/1.13 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.13 pls ) ) ) ), m ), one_one_int ), ! t ==> one_one_int }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := bit0( bit0( bit1( pls ) ) )
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (1868) {G2,W3,D2,L1,V0,M1} { ! t ==> one_one_int }.
% 0.69/1.13 parent0[0]: (124) {G1,W20,D7,L1,V2,M1} I;d(49);d(111) { ! plus_plus_int(
% 0.69/1.13 power_power_int( X, plus_plus_nat( one_one_nat, one_one_nat ) ),
% 0.69/1.13 power_power_int( Y, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 0.69/1.13 plus_plus_int( times_times_int( bit0( bit0( bit1( pls ) ) ), m ),
% 0.69/1.13 one_one_int ) }.
% 0.69/1.13 parent1[0]: (1867) {G1,W23,D7,L2,V0,M2} { plus_plus_int( power_power_int(
% 0.69/1.13 skol1, plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int(
% 0.69/1.13 skol4, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> plus_plus_int(
% 0.69/1.13 times_times_int( bit0( bit0( bit1( pls ) ) ), m ), one_one_int ), ! t ==>
% 0.69/1.13 one_one_int }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol1
% 0.69/1.13 Y := skol4
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (128) {G2,W3,D2,L1,V0,M1} S(1);d(49);d(111);r(124) { ! t ==>
% 0.69/1.13 one_one_int }.
% 0.69/1.13 parent0: (1868) {G2,W3,D2,L1,V0,M1} { ! t ==> one_one_int }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 paramod: (1875) {G1,W25,D8,L2,V0,M2} { plus_plus_int( power_power_int(
% 0.69/1.13 skol2, number_number_of_nat( bit0( bit1( pls ) ) ) ), power_power_int(
% 0.69/1.13 skol5, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> plus_plus_int(
% 0.69/1.13 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.13 , one_one_int ), ! ord_less_int( one_one_int, t ) }.
% 0.69/1.13 parent0[0]: (49) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 0.69/1.13 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.13 parent1[1; 10]: (2) {G0,W26,D8,L2,V0,M2} I { ! ord_less_int( one_one_int, t
% 0.69/1.13 ), plus_plus_int( power_power_int( skol2, number_number_of_nat( bit0(
% 0.69/1.13 bit1( pls ) ) ) ), power_power_int( skol5, number_number_of_nat( bit0(
% 0.69/1.13 bit1( pls ) ) ) ) ) ==> plus_plus_int( times_times_int(
% 0.69/1.13 number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m ), one_one_int )
% 0.69/1.13 }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 paramod: (1876) {G1,W24,D8,L2,V0,M2} { plus_plus_int( power_power_int(
% 0.69/1.13 skol2, plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int(
% 0.69/1.13 skol5, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> plus_plus_int(
% 0.69/1.13 times_times_int( number_number_of_int( bit0( bit0( bit1( pls ) ) ) ), m )
% 0.69/1.13 , one_one_int ), ! ord_less_int( one_one_int, t ) }.
% 0.69/1.13 parent0[0]: (49) {G0,W8,D5,L1,V0,M1} I { number_number_of_nat( bit0( bit1(
% 0.69/1.13 pls ) ) ) ==> plus_plus_nat( one_one_nat, one_one_nat ) }.
% 0.69/1.13 parent1[0; 4]: (1875) {G1,W25,D8,L2,V0,M2} { plus_plus_int(
% 0.69/1.13 power_power_int( skol2, number_number_of_nat( bit0( bit1( pls ) ) ) ),
% 0.69/1.13 power_power_int( skol5, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 0.69/1.13 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.13 pls ) ) ) ), m ), one_one_int ), ! ord_less_int( one_one_int, t ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 paramod: (1878) {G1,W23,D7,L2,V0,M2} { plus_plus_int( power_power_int(
% 0.69/1.13 skol2, plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int(
% 0.69/1.13 skol5, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> plus_plus_int(
% 0.69/1.13 times_times_int( bit0( bit0( bit1( pls ) ) ), m ), one_one_int ), !
% 0.69/1.13 ord_less_int( one_one_int, t ) }.
% 0.69/1.13 parent0[0]: (111) {G0,W4,D3,L1,V1,M1} I { number_number_of_int( X ) ==> X
% 0.69/1.13 }.
% 0.69/1.13 parent1[0; 14]: (1876) {G1,W24,D8,L2,V0,M2} { plus_plus_int(
% 0.69/1.13 power_power_int( skol2, plus_plus_nat( one_one_nat, one_one_nat ) ),
% 0.69/1.13 power_power_int( skol5, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 0.69/1.13 plus_plus_int( times_times_int( number_number_of_int( bit0( bit0( bit1(
% 0.69/1.13 pls ) ) ) ), m ), one_one_int ), ! ord_less_int( one_one_int, t ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := bit0( bit0( bit1( pls ) ) )
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (1879) {G2,W3,D2,L1,V0,M1} { ! ord_less_int( one_one_int, t )
% 0.69/1.13 }.
% 0.69/1.13 parent0[0]: (124) {G1,W20,D7,L1,V2,M1} I;d(49);d(111) { ! plus_plus_int(
% 0.69/1.13 power_power_int( X, plus_plus_nat( one_one_nat, one_one_nat ) ),
% 0.69/1.13 power_power_int( Y, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==>
% 0.69/1.13 plus_plus_int( times_times_int( bit0( bit0( bit1( pls ) ) ), m ),
% 0.69/1.13 one_one_int ) }.
% 0.69/1.13 parent1[0]: (1878) {G1,W23,D7,L2,V0,M2} { plus_plus_int( power_power_int(
% 0.69/1.13 skol2, plus_plus_nat( one_one_nat, one_one_nat ) ), power_power_int(
% 0.69/1.13 skol5, plus_plus_nat( one_one_nat, one_one_nat ) ) ) ==> plus_plus_int(
% 0.69/1.13 times_times_int( bit0( bit0( bit1( pls ) ) ), m ), one_one_int ), !
% 0.69/1.13 ord_less_int( one_one_int, t ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := skol2
% 0.69/1.13 Y := skol5
% 0.69/1.13 end
% 0.69/1.13 substitution1:
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 subsumption: (129) {G2,W3,D2,L1,V0,M1} S(2);d(49);d(111);r(124) { !
% 0.69/1.13 ord_less_int( one_one_int, t ) }.
% 0.69/1.13 parent0: (1879) {G2,W3,D2,L1,V0,M1} { ! ord_less_int( one_one_int, t ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 end
% 0.69/1.13 permutation0:
% 0.69/1.13 0 ==> 0
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 eqswap: (1880) {G0,W9,D2,L3,V2,M3} { Y = X, ! ord_less_eq_int( X, Y ),
% 0.69/1.13 ord_less_int( X, Y ) }.
% 0.69/1.13 parent0[1]: (28) {G0,W9,D2,L3,V2,M3} I { ! ord_less_eq_int( X, Y ), X = Y,
% 0.69/1.13 ord_less_int( X, Y ) }.
% 0.69/1.13 substitution0:
% 0.69/1.13 X := X
% 0.69/1.13 Y := Y
% 0.69/1.13 end
% 0.69/1.13
% 0.69/1.13 resolution: (1881) {G1,W6,D2,L2,V0,M2} { t = one_one_int, !
% 0.69/1.13 ord_less_eq_int( one_one_int, t ) }.
% 0.69/1.13 parent0[0]: (129) {G2,W3,D2,L1,V0,M1} S(2);d(49);d(111);r(124) { !
% 0.69/1.13 ord_less_int( oCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------