%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUM925+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:35:36 AM UTC 2026
% Result : Theorem 2.24s 0.59s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 89
% Syntax : Number of formulae : 705 ( 529 unt; 0 typ; 0 def)
% Number of atoms : 2992 (1621 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 5723 ( 956 ~; 642 |; 9 &;4026 @)
% ( 81 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 9 con; 0-2 aty)
% Number of variables : 986 ( 0 ^; 986 !; 0 ?; 986 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_bit0,type,
bit0: $i > $i ).
thf(tp_bit1,type,
bit1: $i > $i ).
thf(tp_n,type,
n: $i ).
thf(tp_number_number_of_int,type,
number_number_of_int: $i > $i ).
thf(tp_number_number_of_nat,type,
number_number_of_nat: $i > $i ).
thf(tp_one_one_int,type,
one_one_int: $i ).
thf(tp_one_one_nat,type,
one_one_nat: $i ).
thf(tp_ord_less_int,type,
ord_less_int: $i > $i > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: $i > $i > $o ).
thf(tp_pls,type,
pls: $i ).
thf(tp_plus_plus_int,type,
plus_plus_int: $i > $i > $i ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: $i > $i > $i ).
thf(tp_power_power_int,type,
power_power_int: $i > $i > $i ).
thf(tp_power_power_nat,type,
power_power_nat: $i > $i > $i ).
thf(tp_semiri1621563631at_int,type,
semiri1621563631at_int: $i > $i ).
thf(tp_semiri984289939at_nat,type,
semiri984289939at_nat: $i > $i ).
thf(tp_t,type,
t: $i ).
thf(tp_zero_zero_int,type,
zero_zero_int: $i ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: $i ).
thf(1,axiom,
! [Xa: $i,Ya: $i] :
( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ Xa @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Ya @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
<=> ( ( Xa != zero_zero_int )
| ( Ya != zero_zero_int ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_sum__power2__gt__zero__iff) ).
thf(2,axiom,
! [A: $i] :
~ ( ord_less_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_power2__less__0) ).
thf(3,axiom,
! [A_1: $i] :
( ( ord_less_int @ zero_zero_int @ ( power_power_int @ A_1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
<=> ( A_1 != zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_zero__less__power2) ).
thf(4,axiom,
! [N: $i] :
( ( number_number_of_int @ ( semiri1621563631at_int @ N ) )
= ( semiri1621563631at_int @ N ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_number__of__int) ).
thf(5,axiom,
! [N: $i] :
( ( number_number_of_nat @ ( semiri1621563631at_int @ N ) )
= ( semiri984289939at_nat @ N ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_number__of__int) ).
thf(6,axiom,
! [Z: $i] :
( ( plus_plus_int @ ( plus_plus_int @ one_one_int @ Z ) @ Z )
!= zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_odd__nonzero) ).
thf(7,axiom,
! [K: $i] :
( ( bit1 @ K )
= ( plus_plus_int @ ( plus_plus_int @ one_one_int @ K ) @ K ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_Bit1__def) ).
thf(8,axiom,
! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit0 @ K ) @ ( bit1 @ L ) )
= ( bit1 @ ( plus_plus_int @ K @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_add__Bit0__Bit1) ).
thf(9,axiom,
! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit1 @ K ) @ ( bit0 @ L ) )
= ( bit1 @ ( plus_plus_int @ K @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_add__Bit1__Bit0) ).
thf(10,axiom,
! [V: $i,W: $i] :
( ( number_number_of_int @ ( plus_plus_int @ V @ W ) )
= ( plus_plus_int @ ( number_number_of_int @ V ) @ ( number_number_of_int @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_number__of__add) ).
thf(11,axiom,
! [V_1: $i,W_1: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_1 ) @ ( number_number_of_int @ W_1 ) )
= ( number_number_of_int @ ( plus_plus_int @ V_1 @ W_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_add__number__of__eq) ).
thf(12,axiom,
! [V_2: $i,W_2: $i,Z_1: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_2 ) @ ( plus_plus_int @ ( number_number_of_int @ W_2 ) @ Z_1 ) )
= ( plus_plus_int @ ( number_number_of_int @ ( plus_plus_int @ V_2 @ W_2 ) ) @ Z_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_add__number__of__left) ).
thf(14,axiom,
! [A_1: $i,Wa: $i] :
( ( ( power_power_int @ A_1 @ ( number_number_of_nat @ Wa ) )
= zero_zero_int )
<=> ( ( A_1 = zero_zero_int )
& ( ( number_number_of_nat @ Wa )
!= zero_zero_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_power__eq__0__iff__number__of) ).
thf(15,axiom,
! [A_2: $i] :
( ( plus_plus_int @ A_2 @ ( number_number_of_int @ pls ) )
= A_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_add__numeral__0__right) ).
thf(16,axiom,
! [A_3: $i] :
( ( plus_plus_int @ ( number_number_of_int @ pls ) @ A_3 )
= A_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_add__numeral__0) ).
thf(17,axiom,
( zero_zero_int
= ( number_number_of_int @ pls ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_semiring__norm_I112_J) ).
thf(18,axiom,
( ( number_number_of_int @ pls )
= zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_number__of__Pls) ).
thf(19,axiom,
( ( number_number_of_nat @ pls )
= zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_semiring__numeral__0__eq__0) ).
thf(20,axiom,
( ( number_number_of_int @ pls )
= zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_semiring__numeral__0__eq__0) ).
thf(21,axiom,
! [Z: $i] :
( ( plus_plus_int @ zero_zero_int @ Z )
= Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_zadd__0) ).
thf(22,axiom,
! [Z: $i] :
( ( plus_plus_int @ Z @ zero_zero_int )
= Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_zadd__0__right) ).
thf(23,axiom,
! [K: $i] :
( ( bit0 @ K )
= ( plus_plus_int @ K @ K ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_Bit0__def) ).
thf(24,axiom,
! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit0 @ K ) @ ( bit0 @ L ) )
= ( bit0 @ ( plus_plus_int @ K @ L ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_add__Bit0__Bit0) ).
thf(25,axiom,
! [K: $i] :
( ( plus_plus_int @ pls @ K )
= K ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_add__Pls) ).
thf(26,axiom,
! [K: $i] :
( ( plus_plus_int @ K @ pls )
= K ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_add__Pls__right) ).
thf(27,axiom,
zero_zero_int != one_one_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_int__0__neq__1) ).
thf(28,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_Pls__def) ).
thf(29,axiom,
( ( bit0 @ pls )
= pls ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_Bit0__Pls) ).
thf(30,axiom,
! [L_1: $i] :
( ( pls
= ( bit0 @ L_1 ) )
<=> ( pls = L_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_rel__simps_I38_J) ).
thf(31,axiom,
! [K_1: $i] :
( ( ( bit0 @ K_1 )
= pls )
<=> ( K_1 = pls ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_rel__simps_I44_J) ).
thf(32,axiom,
! [K: $i,L: $i] :
( ( bit0 @ K )
!= ( bit1 @ L ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_rel__simps_I49_J) ).
thf(33,axiom,
! [K: $i,L: $i] :
( ( bit1 @ K )
!= ( bit0 @ L ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_rel__simps_I50_J) ).
thf(34,axiom,
! [L: $i] :
( pls
!= ( bit1 @ L ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_rel__simps_I39_J) ).
thf(35,axiom,
! [K: $i] :
( ( bit1 @ K )
!= pls ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_rel__simps_I46_J) ).
thf(36,axiom,
! [A_1: $i] :
( ( ( plus_plus_int @ A_1 @ A_1 )
= zero_zero_int )
<=> ( A_1 = zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_double__eq__0__iff) ).
thf(37,axiom,
! [Z_2: $i] :
( ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ Z_2 ) @ Z_2 ) @ zero_zero_int )
<=> ( ord_less_int @ Z_2 @ zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_odd__less__0) ).
thf(40,axiom,
! [K: $i] :
~ ( ord_less_int @ ( semiri1621563631at_int @ K ) @ zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_int__less__0__conv) ).
thf(41,axiom,
! [Wa: $i,Z_2: $i] :
( ( ord_less_int @ Wa @ ( plus_plus_int @ Z_2 @ one_one_int ) )
<=> ( ( ord_less_int @ Wa @ Z_2 )
| ( Wa = Z_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_zless__add1__eq) ).
thf(42,axiom,
ord_less_int @ zero_zero_int @ one_one_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_int__0__less__1) ).
thf(43,axiom,
! [Wa: $i] :
( ( ord_less_int @ ( bit0 @ Wa ) @ zero_zero_int )
<=> ( ord_less_int @ Wa @ zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_bin__less__0__simps_I3_J) ).
thf(44,axiom,
~ ( ord_less_int @ pls @ zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_bin__less__0__simps_I1_J) ).
thf(45,axiom,
! [Wa: $i] :
( ( ord_less_int @ ( bit1 @ Wa ) @ zero_zero_int )
<=> ( ord_less_int @ Wa @ zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_bin__less__0__simps_I4_J) ).
thf(46,axiom,
! [K_1: $i] :
( ( ord_less_int @ pls @ ( bit0 @ K_1 ) )
<=> ( ord_less_int @ pls @ K_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_rel__simps_I4_J) ).
thf(47,axiom,
! [K_1: $i] :
( ( ord_less_int @ ( bit0 @ K_1 ) @ pls )
<=> ( ord_less_int @ K_1 @ pls ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_rel__simps_I10_J) ).
thf(48,axiom,
! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ ( bit0 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_rel__simps_I16_J) ).
thf(49,axiom,
! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit1 @ K1 ) @ ( bit0 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_less__int__code_I15_J) ).
thf(50,axiom,
! [K_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ pls )
<=> ( ord_less_int @ K_1 @ pls ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_rel__simps_I12_J) ).
thf(53,axiom,
! [Ma: $i,Na: $i] :
( ( ( semiri1621563631at_int @ Ma )
= ( semiri1621563631at_int @ Na ) )
<=> ( Ma = Na ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_int__int__eq) ).
thf(54,axiom,
! [Z: $i,W_3: $i] :
( ( plus_plus_int @ Z @ W_3 )
= ( plus_plus_int @ W_3 @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_zadd__commute) ).
thf(55,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( plus_plus_int @ X @ ( plus_plus_int @ Y @ Z ) )
= ( plus_plus_int @ Y @ ( plus_plus_int @ X @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_zadd__left__commute) ).
thf(56,axiom,
! [Z1: $i,Z2: $i,Z3: $i] :
( ( plus_plus_int @ ( plus_plus_int @ Z1 @ Z2 ) @ Z3 )
= ( plus_plus_int @ Z1 @ ( plus_plus_int @ Z2 @ Z3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_zadd__assoc) ).
thf(57,axiom,
! [A_1: $i] :
( ( ord_less_int @ ( plus_plus_int @ A_1 @ A_1 ) @ zero_zero_int )
<=> ( ord_less_int @ A_1 @ zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_even__less__0__iff) ).
thf(58,axiom,
! [K_1: $i,L_1: $i] :
( ( ( bit0 @ K_1 )
= ( bit0 @ L_1 ) )
<=> ( K_1 = L_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_rel__simps_I48_J) ).
thf(59,axiom,
! [K_1: $i,L_1: $i] :
( ( ( bit1 @ K_1 )
= ( bit1 @ L_1 ) )
<=> ( K_1 = L_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_rel__simps_I51_J) ).
thf(61,axiom,
! [Wa: $i,Xa: $i] :
( ( ( number_number_of_nat @ Wa )
= Xa )
<=> ( Xa
= ( number_number_of_nat @ Wa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_number__of__reorient) ).
thf(63,axiom,
( one_one_nat
= ( number_number_of_nat @ ( bit1 @ pls ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_Numeral1__eq1__nat) ).
thf(64,axiom,
( ( number_number_of_nat @ ( bit1 @ pls ) )
= one_one_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_nat__numeral__1__eq__1) ).
thf(65,axiom,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_one__is__num__one) ).
thf(67,axiom,
! [K: $i,I: $i,J: $i] :
( ( ord_less_int @ I @ J )
=> ( ord_less_int @ ( plus_plus_int @ I @ K ) @ ( plus_plus_int @ J @ K ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_zadd__strict__right__mono) ).
thf(68,axiom,
! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit0 @ K_1 ) @ ( bit0 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_rel__simps_I14_J) ).
thf(69,axiom,
! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit0 @ K1 ) @ ( bit0 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_less__int__code_I13_J) ).
thf(70,axiom,
~ ( ord_less_int @ pls @ pls ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_rel__simps_I2_J) ).
thf(71,axiom,
! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ ( bit1 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_rel__simps_I17_J) ).
thf(72,axiom,
! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit1 @ K1 ) @ ( bit1 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_less__int__code_I16_J) ).
thf(74,axiom,
( ( semiri1621563631at_int @ zero_zero_nat )
= zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_int__0) ).
thf(75,axiom,
! [Na: $i] :
( ( ( semiri1621563631at_int @ Na )
= zero_zero_int )
<=> ( Na = zero_zero_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_int__eq__0__conv) ).
thf(76,axiom,
( zero_zero_nat
= ( number_number_of_nat @ pls ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_semiring__norm_I113_J) ).
thf(77,axiom,
( ( number_number_of_nat @ pls )
= zero_zero_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_nat__number__of__Pls) ).
thf(78,axiom,
( ( semiri1621563631at_int @ one_one_nat )
= one_one_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_int__1) ).
thf(79,axiom,
! [M: $i,N_1: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ M ) @ ( semiri1621563631at_int @ N_1 ) )
= ( semiri1621563631at_int @ ( plus_plus_nat @ M @ N_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_zadd__int) ).
thf(80,axiom,
! [M: $i,N_1: $i,Z: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ M ) @ ( plus_plus_int @ ( semiri1621563631at_int @ N_1 ) @ Z ) )
= ( plus_plus_int @ ( semiri1621563631at_int @ ( plus_plus_nat @ M @ N_1 ) ) @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_zadd__int__left) ).
thf(81,axiom,
! [M: $i,N_1: $i] :
( ( semiri1621563631at_int @ ( power_power_nat @ M @ N_1 ) )
= ( power_power_int @ ( semiri1621563631at_int @ M ) @ N_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_int__power) ).
thf(82,axiom,
! [M: $i,N_1: $i] :
( ( power_power_int @ ( semiri1621563631at_int @ M ) @ N_1 )
= ( semiri1621563631at_int @ ( power_power_nat @ M @ N_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_zpower__int) ).
thf(83,axiom,
( zero_zero_int
= ( number_number_of_int @ pls ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zero__is__num__zero) ).
thf(85,axiom,
! [V_3: $i,W_3: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_3 ) @ ( number_number_of_int @ W_3 ) )
= ( number_number_of_int @ ( plus_plus_int @ V_3 @ W_3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_plus__numeral__code_I9_J) ).
thf(89,axiom,
( ( number_number_of_int @ ( bit1 @ pls ) )
= one_one_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_numeral__1__eq__1) ).
thf(90,axiom,
( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_semiring__norm_I110_J) ).
thf(92,axiom,
! [W_4: $i] :
( ( ( ( number_number_of_nat @ W_4 )
= zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ W_4 ) )
= one_one_int ) )
& ( ( ( number_number_of_nat @ W_4 )
!= zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ W_4 ) )
= zero_zero_int ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_power__0__left__number__of) ).
thf(93,axiom,
! [X: $i] :
( ( power_power_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_quartic__square__square) ).
thf(95,axiom,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_semiring__one__add__one__is__two) ).
thf(96,axiom,
( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_one__add__one__is__two) ).
thf(97,axiom,
! [V_5: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_5 ) @ one_one_int )
= ( number_number_of_int @ ( plus_plus_int @ V_5 @ ( bit1 @ pls ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_add__special_I3_J) ).
thf(98,axiom,
! [W_5: $i] :
( ( plus_plus_int @ one_one_int @ ( number_number_of_int @ W_5 ) )
= ( number_number_of_int @ ( plus_plus_int @ ( bit1 @ pls ) @ W_5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_add__special_I2_J) ).
thf(99,axiom,
! [A_1: $i] :
( ( ( power_power_int @ A_1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
<=> ( A_1 = zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_zero__eq__power2) ).
thf(101,axiom,
( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_zero__power2) ).
thf(103,axiom,
( ( power_power_int @ one_one_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= one_one_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_one__power2) ).
thf(104,axiom,
! [Xa: $i,Ya: $i] :
( ( ( plus_plus_int @ ( power_power_int @ Xa @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Ya @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
<=> ( ( Xa = zero_zero_int )
& ( Ya = zero_zero_int ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_sum__power2__eq__zero__iff) ).
thf(106,axiom,
ord_less_int @ zero_zero_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_n1pos) ).
thf(107,conjecture,
( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(108,negated_conjecture,
( ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
= $false ),
inference(negate_conjecture,[status(cth)],[107]) ).
thf(109,plain,
( ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
= $false ),
inference(unfold_def,[status(thm)],[108]) ).
thf(110,plain,
( ( ! [Xa: $i,Ya: $i] :
( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ Xa @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Ya @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
<=> ( ( Xa != zero_zero_int )
| ( Ya != zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(111,plain,
( ( ! [A: $i] :
~ ( ord_less_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ zero_zero_int ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(112,plain,
( ( ! [A_1: $i] :
( ( ord_less_int @ zero_zero_int @ ( power_power_int @ A_1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
<=> ( A_1 != zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(113,plain,
( ( ! [N: $i] :
( ( number_number_of_int @ ( semiri1621563631at_int @ N ) )
= ( semiri1621563631at_int @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(114,plain,
( ( ! [N: $i] :
( ( number_number_of_nat @ ( semiri1621563631at_int @ N ) )
= ( semiri984289939at_nat @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(115,plain,
( ( ! [Z: $i] :
( ( plus_plus_int @ ( plus_plus_int @ one_one_int @ Z ) @ Z )
!= zero_zero_int ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(116,plain,
( ( ! [K: $i] :
( ( bit1 @ K )
= ( plus_plus_int @ ( plus_plus_int @ one_one_int @ K ) @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(117,plain,
( ( ! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit0 @ K ) @ ( bit1 @ L ) )
= ( bit1 @ ( plus_plus_int @ K @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(118,plain,
( ( ! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit1 @ K ) @ ( bit0 @ L ) )
= ( bit1 @ ( plus_plus_int @ K @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(119,plain,
( ( ! [V: $i,W: $i] :
( ( number_number_of_int @ ( plus_plus_int @ V @ W ) )
= ( plus_plus_int @ ( number_number_of_int @ V ) @ ( number_number_of_int @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(120,plain,
( ( ! [V_1: $i,W_1: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_1 ) @ ( number_number_of_int @ W_1 ) )
= ( number_number_of_int @ ( plus_plus_int @ V_1 @ W_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(121,plain,
( ( ! [V_2: $i,W_2: $i,Z_1: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_2 ) @ ( plus_plus_int @ ( number_number_of_int @ W_2 ) @ Z_1 ) )
= ( plus_plus_int @ ( number_number_of_int @ ( plus_plus_int @ V_2 @ W_2 ) ) @ Z_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(122,plain,
( ( ! [A_1: $i,Wa: $i] :
( ( ( power_power_int @ A_1 @ ( number_number_of_nat @ Wa ) )
= zero_zero_int )
<=> ( ( A_1 = zero_zero_int )
& ( ( number_number_of_nat @ Wa )
!= zero_zero_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(123,plain,
( ( ! [A_2: $i] :
( ( plus_plus_int @ A_2 @ ( number_number_of_int @ pls ) )
= A_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(124,plain,
( ( ! [A_3: $i] :
( ( plus_plus_int @ ( number_number_of_int @ pls ) @ A_3 )
= A_3 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(125,plain,
( ( zero_zero_int
= ( number_number_of_int @ pls ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(126,plain,
( ( ( number_number_of_int @ pls )
= zero_zero_int )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(127,plain,
( ( ( number_number_of_nat @ pls )
= zero_zero_nat )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(128,plain,
( ( ( number_number_of_int @ pls )
= zero_zero_int )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(129,plain,
( ( ! [Z: $i] :
( ( plus_plus_int @ zero_zero_int @ Z )
= Z ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(130,plain,
( ( ! [Z: $i] :
( ( plus_plus_int @ Z @ zero_zero_int )
= Z ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(131,plain,
( ( ! [K: $i] :
( ( bit0 @ K )
= ( plus_plus_int @ K @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(132,plain,
( ( ! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit0 @ K ) @ ( bit0 @ L ) )
= ( bit0 @ ( plus_plus_int @ K @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(133,plain,
( ( ! [K: $i] :
( ( plus_plus_int @ pls @ K )
= K ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(134,plain,
( ( ! [K: $i] :
( ( plus_plus_int @ K @ pls )
= K ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(135,plain,
( ( zero_zero_int != one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(136,plain,
( ( pls = zero_zero_int )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(137,plain,
( ( ( bit0 @ pls )
= pls )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(138,plain,
( ( ! [L_1: $i] :
( ( pls
= ( bit0 @ L_1 ) )
<=> ( pls = L_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(139,plain,
( ( ! [K_1: $i] :
( ( ( bit0 @ K_1 )
= pls )
<=> ( K_1 = pls ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(140,plain,
( ( ! [K: $i,L: $i] :
( ( bit0 @ K )
!= ( bit1 @ L ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(141,plain,
( ( ! [K: $i,L: $i] :
( ( bit1 @ K )
!= ( bit0 @ L ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(142,plain,
( ( ! [L: $i] :
( pls
!= ( bit1 @ L ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(143,plain,
( ( ! [K: $i] :
( ( bit1 @ K )
!= pls ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(144,plain,
( ( ! [A_1: $i] :
( ( ( plus_plus_int @ A_1 @ A_1 )
= zero_zero_int )
<=> ( A_1 = zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(145,plain,
( ( ! [Z_2: $i] :
( ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ Z_2 ) @ Z_2 ) @ zero_zero_int )
<=> ( ord_less_int @ Z_2 @ zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(146,plain,
( ( ! [K: $i] :
~ ( ord_less_int @ ( semiri1621563631at_int @ K ) @ zero_zero_int ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(147,plain,
( ( ! [Wa: $i,Z_2: $i] :
( ( ord_less_int @ Wa @ ( plus_plus_int @ Z_2 @ one_one_int ) )
<=> ( ( ord_less_int @ Wa @ Z_2 )
| ( Wa = Z_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(148,plain,
( ( ord_less_int @ zero_zero_int @ one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(149,plain,
( ( ! [Wa: $i] :
( ( ord_less_int @ ( bit0 @ Wa ) @ zero_zero_int )
<=> ( ord_less_int @ Wa @ zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(150,plain,
( ( ~ ( ord_less_int @ pls @ zero_zero_int ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(151,plain,
( ( ! [Wa: $i] :
( ( ord_less_int @ ( bit1 @ Wa ) @ zero_zero_int )
<=> ( ord_less_int @ Wa @ zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(152,plain,
( ( ! [K_1: $i] :
( ( ord_less_int @ pls @ ( bit0 @ K_1 ) )
<=> ( ord_less_int @ pls @ K_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(153,plain,
( ( ! [K_1: $i] :
( ( ord_less_int @ ( bit0 @ K_1 ) @ pls )
<=> ( ord_less_int @ K_1 @ pls ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(154,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ ( bit0 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(155,plain,
( ( ! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit1 @ K1 ) @ ( bit0 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(156,plain,
( ( ! [K_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ pls )
<=> ( ord_less_int @ K_1 @ pls ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(157,plain,
( ( ! [Ma: $i,Na: $i] :
( ( ( semiri1621563631at_int @ Ma )
= ( semiri1621563631at_int @ Na ) )
<=> ( Ma = Na ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(158,plain,
( ( ! [Z: $i,W_3: $i] :
( ( plus_plus_int @ Z @ W_3 )
= ( plus_plus_int @ W_3 @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(159,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( plus_plus_int @ X @ ( plus_plus_int @ Y @ Z ) )
= ( plus_plus_int @ Y @ ( plus_plus_int @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(160,plain,
( ( ! [Z1: $i,Z2: $i,Z3: $i] :
( ( plus_plus_int @ ( plus_plus_int @ Z1 @ Z2 ) @ Z3 )
= ( plus_plus_int @ Z1 @ ( plus_plus_int @ Z2 @ Z3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(161,plain,
( ( ! [A_1: $i] :
( ( ord_less_int @ ( plus_plus_int @ A_1 @ A_1 ) @ zero_zero_int )
<=> ( ord_less_int @ A_1 @ zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(162,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ( bit0 @ K_1 )
= ( bit0 @ L_1 ) )
<=> ( K_1 = L_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(163,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ( bit1 @ K_1 )
= ( bit1 @ L_1 ) )
<=> ( K_1 = L_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(164,plain,
( ( ! [Wa: $i,Xa: $i] :
( ( ( number_number_of_nat @ Wa )
= Xa )
<=> ( Xa
= ( number_number_of_nat @ Wa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(165,plain,
( ( one_one_nat
= ( number_number_of_nat @ ( bit1 @ pls ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(166,plain,
( ( ( number_number_of_nat @ ( bit1 @ pls ) )
= one_one_nat )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(167,plain,
( ( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(168,plain,
( ( ! [K: $i,I: $i,J: $i] :
( ( ord_less_int @ I @ J )
=> ( ord_less_int @ ( plus_plus_int @ I @ K ) @ ( plus_plus_int @ J @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(169,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit0 @ K_1 ) @ ( bit0 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(170,plain,
( ( ! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit0 @ K1 ) @ ( bit0 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(171,plain,
( ( ~ ( ord_less_int @ pls @ pls ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(172,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ ( bit1 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(173,plain,
( ( ! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit1 @ K1 ) @ ( bit1 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(174,plain,
( ( ( semiri1621563631at_int @ zero_zero_nat )
= zero_zero_int )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(175,plain,
( ( ! [Na: $i] :
( ( ( semiri1621563631at_int @ Na )
= zero_zero_int )
<=> ( Na = zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(176,plain,
( ( zero_zero_nat
= ( number_number_of_nat @ pls ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(177,plain,
( ( ( number_number_of_nat @ pls )
= zero_zero_nat )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(178,plain,
( ( ( semiri1621563631at_int @ one_one_nat )
= one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(179,plain,
( ( ! [M: $i,N_1: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ M ) @ ( semiri1621563631at_int @ N_1 ) )
= ( semiri1621563631at_int @ ( plus_plus_nat @ M @ N_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(180,plain,
( ( ! [M: $i,N_1: $i,Z: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ M ) @ ( plus_plus_int @ ( semiri1621563631at_int @ N_1 ) @ Z ) )
= ( plus_plus_int @ ( semiri1621563631at_int @ ( plus_plus_nat @ M @ N_1 ) ) @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(181,plain,
( ( ! [M: $i,N_1: $i] :
( ( semiri1621563631at_int @ ( power_power_nat @ M @ N_1 ) )
= ( power_power_int @ ( semiri1621563631at_int @ M ) @ N_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(182,plain,
( ( ! [M: $i,N_1: $i] :
( ( power_power_int @ ( semiri1621563631at_int @ M ) @ N_1 )
= ( semiri1621563631at_int @ ( power_power_nat @ M @ N_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(183,plain,
( ( zero_zero_int
= ( number_number_of_int @ pls ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(184,plain,
( ( ! [V_3: $i,W_3: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_3 ) @ ( number_number_of_int @ W_3 ) )
= ( number_number_of_int @ ( plus_plus_int @ V_3 @ W_3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(185,plain,
( ( ( number_number_of_int @ ( bit1 @ pls ) )
= one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(186,plain,
( ( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(187,plain,
( ( ! [W_4: $i] :
( ( ( ( number_number_of_nat @ W_4 )
= zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ W_4 ) )
= one_one_int ) )
& ( ( ( number_number_of_nat @ W_4 )
!= zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ W_4 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(188,plain,
( ( ! [X: $i] :
( ( power_power_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(189,plain,
( ( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(190,plain,
( ( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(191,plain,
( ( ! [V_5: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_5 ) @ one_one_int )
= ( number_number_of_int @ ( plus_plus_int @ V_5 @ ( bit1 @ pls ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(192,plain,
( ( ! [W_5: $i] :
( ( plus_plus_int @ one_one_int @ ( number_number_of_int @ W_5 ) )
= ( number_number_of_int @ ( plus_plus_int @ ( bit1 @ pls ) @ W_5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(193,plain,
( ( ! [A_1: $i] :
( ( ( power_power_int @ A_1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
<=> ( A_1 = zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(194,plain,
( ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(195,plain,
( ( ( power_power_int @ one_one_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(196,plain,
( ( ! [Xa: $i,Ya: $i] :
( ( ( plus_plus_int @ ( power_power_int @ Xa @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Ya @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
<=> ( ( Xa = zero_zero_int )
& ( Ya = zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(197,plain,
( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(198,plain,
( ( ~ ( ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[109]) ).
thf(199,plain,
( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(200,plain,
( ( ! [Xa: $i,Ya: $i] :
( ( ( plus_plus_int @ ( power_power_int @ Xa @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Ya @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
<=> ( ( Xa = zero_zero_int )
& ( Ya = zero_zero_int ) ) ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(201,plain,
( ( ( power_power_int @ one_one_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= one_one_int )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(202,plain,
( ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(203,plain,
( ( ! [A_1: $i] :
( ( ( power_power_int @ A_1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
<=> ( A_1 = zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(204,plain,
( ( ! [W_5: $i] :
( ( plus_plus_int @ one_one_int @ ( number_number_of_int @ W_5 ) )
= ( number_number_of_int @ ( plus_plus_int @ ( bit1 @ pls ) @ W_5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(205,plain,
( ( ! [V_5: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_5 ) @ one_one_int )
= ( number_number_of_int @ ( plus_plus_int @ V_5 @ ( bit1 @ pls ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(206,plain,
( ( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(207,plain,
( ( ( plus_plus_int @ one_one_int @ one_one_int )
= ( number_number_of_int @ ( bit0 @ ( bit1 @ pls ) ) ) )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(208,plain,
( ( ! [X: $i] :
( ( power_power_int @ ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( power_power_int @ X @ ( number_number_of_nat @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(209,plain,
( ( ! [W_4: $i] :
( ( ( ( number_number_of_nat @ W_4 )
= zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ W_4 ) )
= one_one_int ) )
& ( ( ( number_number_of_nat @ W_4 )
!= zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ W_4 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(210,plain,
( ( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(211,plain,
( ( ( number_number_of_int @ ( bit1 @ pls ) )
= one_one_int )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(212,plain,
( ( ! [V_3: $i,W_3: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_3 ) @ ( number_number_of_int @ W_3 ) )
= ( number_number_of_int @ ( plus_plus_int @ V_3 @ W_3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(213,plain,
( ( zero_zero_int
= ( number_number_of_int @ pls ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(214,plain,
( ( ! [M: $i,N_1: $i] :
( ( power_power_int @ ( semiri1621563631at_int @ M ) @ N_1 )
= ( semiri1621563631at_int @ ( power_power_nat @ M @ N_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(215,plain,
( ( ! [M: $i,N_1: $i] :
( ( semiri1621563631at_int @ ( power_power_nat @ M @ N_1 ) )
= ( power_power_int @ ( semiri1621563631at_int @ M ) @ N_1 ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(216,plain,
( ( ! [M: $i,N_1: $i,Z: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ M ) @ ( plus_plus_int @ ( semiri1621563631at_int @ N_1 ) @ Z ) )
= ( plus_plus_int @ ( semiri1621563631at_int @ ( plus_plus_nat @ M @ N_1 ) ) @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(217,plain,
( ( ! [M: $i,N_1: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ M ) @ ( semiri1621563631at_int @ N_1 ) )
= ( semiri1621563631at_int @ ( plus_plus_nat @ M @ N_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(218,plain,
( ( ( semiri1621563631at_int @ one_one_nat )
= one_one_int )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(219,plain,
( ( ( number_number_of_nat @ pls )
= zero_zero_nat )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(220,plain,
( ( zero_zero_nat
= ( number_number_of_nat @ pls ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(221,plain,
( ( ! [Na: $i] :
( ( ( semiri1621563631at_int @ Na )
= zero_zero_int )
<=> ( Na = zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(222,plain,
( ( ( semiri1621563631at_int @ zero_zero_nat )
= zero_zero_int )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(223,plain,
( ( ! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit1 @ K1 ) @ ( bit1 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(224,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ ( bit1 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(225,plain,
( ( ~ ( ord_less_int @ pls @ pls ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(226,plain,
( ( ! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit0 @ K1 ) @ ( bit0 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(227,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit0 @ K_1 ) @ ( bit0 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(228,plain,
( ( ! [K: $i,I: $i,J: $i] :
( ( ord_less_int @ I @ J )
=> ( ord_less_int @ ( plus_plus_int @ I @ K ) @ ( plus_plus_int @ J @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(229,plain,
( ( one_one_int
= ( number_number_of_int @ ( bit1 @ pls ) ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(230,plain,
( ( ( number_number_of_nat @ ( bit1 @ pls ) )
= one_one_nat )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(231,plain,
( ( one_one_nat
= ( number_number_of_nat @ ( bit1 @ pls ) ) )
= $true ),
inference(copy,[status(thm)],[165]) ).
thf(232,plain,
( ( ! [Wa: $i,Xa: $i] :
( ( ( number_number_of_nat @ Wa )
= Xa )
<=> ( Xa
= ( number_number_of_nat @ Wa ) ) ) )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(233,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ( bit1 @ K_1 )
= ( bit1 @ L_1 ) )
<=> ( K_1 = L_1 ) ) )
= $true ),
inference(copy,[status(thm)],[163]) ).
thf(234,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ( bit0 @ K_1 )
= ( bit0 @ L_1 ) )
<=> ( K_1 = L_1 ) ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(235,plain,
( ( ! [A_1: $i] :
( ( ord_less_int @ ( plus_plus_int @ A_1 @ A_1 ) @ zero_zero_int )
<=> ( ord_less_int @ A_1 @ zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(236,plain,
( ( ! [Z1: $i,Z2: $i,Z3: $i] :
( ( plus_plus_int @ ( plus_plus_int @ Z1 @ Z2 ) @ Z3 )
= ( plus_plus_int @ Z1 @ ( plus_plus_int @ Z2 @ Z3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(237,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( plus_plus_int @ X @ ( plus_plus_int @ Y @ Z ) )
= ( plus_plus_int @ Y @ ( plus_plus_int @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(238,plain,
( ( ! [Z: $i,W_3: $i] :
( ( plus_plus_int @ Z @ W_3 )
= ( plus_plus_int @ W_3 @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(239,plain,
( ( ! [Ma: $i,Na: $i] :
( ( ( semiri1621563631at_int @ Ma )
= ( semiri1621563631at_int @ Na ) )
<=> ( Ma = Na ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(240,plain,
( ( ! [K_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ pls )
<=> ( ord_less_int @ K_1 @ pls ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(241,plain,
( ( ! [K1: $i,K2: $i] :
( ( ord_less_int @ ( bit1 @ K1 ) @ ( bit0 @ K2 ) )
<=> ( ord_less_int @ K1 @ K2 ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(242,plain,
( ( ! [K_1: $i,L_1: $i] :
( ( ord_less_int @ ( bit1 @ K_1 ) @ ( bit0 @ L_1 ) )
<=> ( ord_less_int @ K_1 @ L_1 ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(243,plain,
( ( ! [K_1: $i] :
( ( ord_less_int @ ( bit0 @ K_1 ) @ pls )
<=> ( ord_less_int @ K_1 @ pls ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(244,plain,
( ( ! [K_1: $i] :
( ( ord_less_int @ pls @ ( bit0 @ K_1 ) )
<=> ( ord_less_int @ pls @ K_1 ) ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(245,plain,
( ( ! [Wa: $i] :
( ( ord_less_int @ ( bit1 @ Wa ) @ zero_zero_int )
<=> ( ord_less_int @ Wa @ zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(246,plain,
( ( ~ ( ord_less_int @ pls @ zero_zero_int ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(247,plain,
( ( ! [Wa: $i] :
( ( ord_less_int @ ( bit0 @ Wa ) @ zero_zero_int )
<=> ( ord_less_int @ Wa @ zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(248,plain,
( ( ord_less_int @ zero_zero_int @ one_one_int )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(249,plain,
( ( ! [Wa: $i,Z_2: $i] :
( ( ord_less_int @ Wa @ ( plus_plus_int @ Z_2 @ one_one_int ) )
<=> ( ( ord_less_int @ Wa @ Z_2 )
| ( Wa = Z_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(250,plain,
( ( ! [K: $i] :
~ ( ord_less_int @ ( semiri1621563631at_int @ K ) @ zero_zero_int ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(251,plain,
( ( ! [Z_2: $i] :
( ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ Z_2 ) @ Z_2 ) @ zero_zero_int )
<=> ( ord_less_int @ Z_2 @ zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(252,plain,
( ( ! [A_1: $i] :
( ( ( plus_plus_int @ A_1 @ A_1 )
= zero_zero_int )
<=> ( A_1 = zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(253,plain,
( ( ! [K: $i] :
( ( bit1 @ K )
!= pls ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(254,plain,
( ( ! [L: $i] :
( pls
!= ( bit1 @ L ) ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(255,plain,
( ( ! [K: $i,L: $i] :
( ( bit1 @ K )
!= ( bit0 @ L ) ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(256,plain,
( ( ! [K: $i,L: $i] :
( ( bit0 @ K )
!= ( bit1 @ L ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(257,plain,
( ( ! [K_1: $i] :
( ( ( bit0 @ K_1 )
= pls )
<=> ( K_1 = pls ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(258,plain,
( ( ! [L_1: $i] :
( ( pls
= ( bit0 @ L_1 ) )
<=> ( pls = L_1 ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(259,plain,
( ( ( bit0 @ pls )
= pls )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(260,plain,
( ( pls = zero_zero_int )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(261,plain,
( ( zero_zero_int != one_one_int )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(262,plain,
( ( ! [K: $i] :
( ( plus_plus_int @ K @ pls )
= K ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(263,plain,
( ( ! [K: $i] :
( ( plus_plus_int @ pls @ K )
= K ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(264,plain,
( ( ! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit0 @ K ) @ ( bit0 @ L ) )
= ( bit0 @ ( plus_plus_int @ K @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(265,plain,
( ( ! [K: $i] :
( ( bit0 @ K )
= ( plus_plus_int @ K @ K ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(266,plain,
( ( ! [Z: $i] :
( ( plus_plus_int @ Z @ zero_zero_int )
= Z ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(267,plain,
( ( ! [Z: $i] :
( ( plus_plus_int @ zero_zero_int @ Z )
= Z ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(268,plain,
( ( ( number_number_of_int @ pls )
= zero_zero_int )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(269,plain,
( ( ( number_number_of_nat @ pls )
= zero_zero_nat )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(270,plain,
( ( ( number_number_of_int @ pls )
= zero_zero_int )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(271,plain,
( ( zero_zero_int
= ( number_number_of_int @ pls ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(272,plain,
( ( ! [A_3: $i] :
( ( plus_plus_int @ ( number_number_of_int @ pls ) @ A_3 )
= A_3 ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(273,plain,
( ( ! [A_2: $i] :
( ( plus_plus_int @ A_2 @ ( number_number_of_int @ pls ) )
= A_2 ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(274,plain,
( ( ! [A_1: $i,Wa: $i] :
( ( ( power_power_int @ A_1 @ ( number_number_of_nat @ Wa ) )
= zero_zero_int )
<=> ( ( A_1 = zero_zero_int )
& ( ( number_number_of_nat @ Wa )
!= zero_zero_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(275,plain,
( ( ! [V_2: $i,W_2: $i,Z_1: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_2 ) @ ( plus_plus_int @ ( number_number_of_int @ W_2 ) @ Z_1 ) )
= ( plus_plus_int @ ( number_number_of_int @ ( plus_plus_int @ V_2 @ W_2 ) ) @ Z_1 ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(276,plain,
( ( ! [V_1: $i,W_1: $i] :
( ( plus_plus_int @ ( number_number_of_int @ V_1 ) @ ( number_number_of_int @ W_1 ) )
= ( number_number_of_int @ ( plus_plus_int @ V_1 @ W_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(277,plain,
( ( ! [V: $i,W: $i] :
( ( number_number_of_int @ ( plus_plus_int @ V @ W ) )
= ( plus_plus_int @ ( number_number_of_int @ V ) @ ( number_number_of_int @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(278,plain,
( ( ! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit1 @ K ) @ ( bit0 @ L ) )
= ( bit1 @ ( plus_plus_int @ K @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(279,plain,
( ( ! [K: $i,L: $i] :
( ( plus_plus_int @ ( bit0 @ K ) @ ( bit1 @ L ) )
= ( bit1 @ ( plus_plus_int @ K @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(280,plain,
( ( ! [K: $i] :
( ( bit1 @ K )
= ( plus_plus_int @ ( plus_plus_int @ one_one_int @ K ) @ K ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(281,plain,
( ( ! [Z: $i] :
( ( plus_plus_int @ ( plus_plus_int @ one_one_int @ Z ) @ Z )
!= zero_zero_int ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(282,plain,
( ( ! [N: $i] :
( ( number_number_of_nat @ ( semiri1621563631at_int @ N ) )
= ( semiri984289939at_nat @ N ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(283,plain,
( ( ! [N: $i] :
( ( number_number_of_int @ ( semiri1621563631at_int @ N ) )
= ( semiri1621563631at_int @ N ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(284,plain,
( ( ! [A_1: $i] :
( ( ord_less_int @ zero_zero_int @ ( power_power_int @ A_1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
<=> ( A_1 != zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(285,plain,
( ( ! [A: $i] :
~ ( ord_less_int @ ( power_power_int @ A @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ zero_zero_int ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(286,plain,
( ( ! [Xa: $i,Ya: $i] :
( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ Xa @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ Ya @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
<=> ( ( Xa != zero_zero_int )
| ( Ya != zero_zero_int ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(287,plain,
( ( ~ ( ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(288,plain,
( ( ~ ( ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(289,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( number_number_of_nat @ SX0 )
!= SX1 )
| ( SX1
= ( number_number_of_nat @ SX0 ) ) )
| ~ ( ( SX1
!= ( number_number_of_nat @ SX0 ) )
| ( ( number_number_of_nat @ SX0 )
= SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(290,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( bit1 @ SX0 )
!= ( bit0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(291,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SX0 ) @ ( bit1 @ SX1 ) )
| ( ord_less_int @ SX0 @ SX1 ) )
| ~ ( ~ ( ord_less_int @ SX0 @ SX1 )
| ( ord_less_int @ ( bit1 @ SX0 ) @ ( bit1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(292,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ( ( power_power_int @ SX0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
| ( SX0 = zero_zero_int ) )
| ~ ( ( SX0 != zero_zero_int )
| ( ( power_power_int @ SX0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(293,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( power_power_int @ SX0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
| ( SX0 != zero_zero_int ) )
| ~ ( ~ ( ( SX0 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( power_power_int @ SX0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(294,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( plus_plus_int @ ( power_power_int @ SX0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SX1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= zero_zero_int )
| ~ ( ( SX0 != zero_zero_int )
| ( SX1 != zero_zero_int ) ) )
| ~ ( ~ ~ ( ( SX0 != zero_zero_int )
| ( SX1 != zero_zero_int ) )
| ( ( plus_plus_int @ ( power_power_int @ SX0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SX1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(295,plain,
( ( ! [SX0: $i] :
( pls
!= ( bit1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(296,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( bit1 @ SX0 )
!= ( bit1 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( bit1 @ SX0 )
= ( bit1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(297,plain,
( ( zero_zero_int != one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(298,plain,
( ( ! [SX0: $i] :
( ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SX0 ) @ SX0 )
!= zero_zero_int ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(299,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( power_power_int @ SX0 @ ( number_number_of_nat @ SX1 ) )
!= zero_zero_int )
| ~ ( ( SX0 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SX1 )
!= zero_zero_nat ) ) ) )
| ~ ( ~ ~ ( ( SX0 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SX1 )
!= zero_zero_nat ) ) )
| ( ( power_power_int @ SX0 @ ( number_number_of_nat @ SX1 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(300,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SX0 ) @ pls )
| ( ord_less_int @ SX0 @ pls ) )
| ~ ( ~ ( ord_less_int @ SX0 @ pls )
| ( ord_less_int @ ( bit0 @ SX0 ) @ pls ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(301,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( ord_less_int @ pls @ ( bit0 @ SX0 ) )
| ( ord_less_int @ pls @ SX0 ) )
| ~ ( ~ ( ord_less_int @ pls @ SX0 )
| ( ord_less_int @ pls @ ( bit0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(302,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ord_less_int @ SX1 @ SX2 )
| ( ord_less_int @ ( plus_plus_int @ SX1 @ SX0 ) @ ( plus_plus_int @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(303,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SX0 ) @ ( bit0 @ SX1 ) )
| ( ord_less_int @ SX0 @ SX1 ) )
| ~ ( ~ ( ord_less_int @ SX0 @ SX1 )
| ( ord_less_int @ ( bit0 @ SX0 ) @ ( bit0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(304,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ( pls
!= ( bit0 @ SX0 ) )
| ( pls = SX0 ) )
| ~ ( ( pls != SX0 )
| ( pls
= ( bit0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(305,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( semiri1621563631at_int @ SX0 )
!= ( semiri1621563631at_int @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( semiri1621563631at_int @ SX0 )
= ( semiri1621563631at_int @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(306,plain,
( ( ! [SX0: $i] :
( ( bit1 @ SX0 )
!= pls ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(307,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ( ( plus_plus_int @ SX0 @ SX0 )
!= zero_zero_int )
| ( SX0 = zero_zero_int ) )
| ~ ( ( SX0 != zero_zero_int )
| ( ( plus_plus_int @ SX0 @ SX0 )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(308,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SX0 ) @ pls )
| ( ord_less_int @ SX0 @ pls ) )
| ~ ( ~ ( ord_less_int @ SX0 @ pls )
| ( ord_less_int @ ( bit1 @ SX0 ) @ pls ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(309,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( bit0 @ SX0 )
!= ( bit0 @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ( ( SX0 != SX1 )
| ( ( bit0 @ SX0 )
= ( bit0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(310,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( bit0 @ SX0 )
!= ( bit1 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(311,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ord_less_int @ SX0 @ ( plus_plus_int @ SX1 @ one_one_int ) )
| ( ord_less_int @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ~ ( ~ ( ( ord_less_int @ SX0 @ SX1 )
| ( SX0 = SX1 ) )
| ( ord_less_int @ SX0 @ ( plus_plus_int @ SX1 @ one_one_int ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(312,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ( ( bit0 @ SX0 )
!= pls )
| ( SX0 = pls ) )
| ~ ( ( SX0 != pls )
| ( ( bit0 @ SX0 )
= pls ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(313,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SX0 ) @ zero_zero_int )
| ( ord_less_int @ SX0 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SX0 @ zero_zero_int )
| ( ord_less_int @ ( bit1 @ SX0 ) @ zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(314,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ( ( number_number_of_nat @ SX0 )
!= zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SX0 ) )
= one_one_int ) )
| ~ ( ~ ( ( ( number_number_of_nat @ SX0 )
!= zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SX0 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(315,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SX0 ) @ ( bit1 @ SX1 ) )
| ( ord_less_int @ SX0 @ SX1 ) )
| ~ ( ~ ( ord_less_int @ SX0 @ SX1 )
| ( ord_less_int @ ( bit1 @ SX0 ) @ ( bit1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(316,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SX0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SX1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( SX0 != zero_zero_int )
| ( SX1 != zero_zero_int ) )
| ~ ( ~ ( ( SX0 != zero_zero_int )
| ( SX1 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SX0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SX1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(317,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SX0 ) @ SX0 ) @ zero_zero_int )
| ( ord_less_int @ SX0 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SX0 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SX0 ) @ SX0 ) @ zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(318,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SX0 ) @ ( bit0 @ SX1 ) )
| ( ord_less_int @ SX0 @ SX1 ) )
| ~ ( ~ ( ord_less_int @ SX0 @ SX1 )
| ( ord_less_int @ ( bit1 @ SX0 ) @ ( bit0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(319,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SX0 ) @ ( bit0 @ SX1 ) )
| ( ord_less_int @ SX0 @ SX1 ) )
| ~ ( ~ ( ord_less_int @ SX0 @ SX1 )
| ( ord_less_int @ ( bit0 @ SX0 ) @ ( bit0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(320,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SX0 ) @ zero_zero_int )
| ( ord_less_int @ SX0 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SX0 @ zero_zero_int )
| ( ord_less_int @ ( bit0 @ SX0 ) @ zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(321,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SX0 ) @ ( bit0 @ SX1 ) )
| ( ord_less_int @ SX0 @ SX1 ) )
| ~ ( ~ ( ord_less_int @ SX0 @ SX1 )
| ( ord_less_int @ ( bit1 @ SX0 ) @ ( bit0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(322,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( plus_plus_int @ SX0 @ SX0 ) @ zero_zero_int )
| ( ord_less_int @ SX0 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SX0 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ SX0 @ SX0 ) @ zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(323,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ( ( semiri1621563631at_int @ SX0 )
!= zero_zero_int )
| ( SX0 = zero_zero_nat ) )
| ~ ( ( SX0 != zero_zero_nat )
| ( ( semiri1621563631at_int @ SX0 )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(324,plain,
! [SV1: $i] :
( ( ( plus_plus_int @ one_one_int @ ( number_number_of_int @ SV1 ) )
= ( number_number_of_int @ ( plus_plus_int @ ( bit1 @ pls ) @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(325,plain,
! [SV2: $i] :
( ( ( plus_plus_int @ ( number_number_of_int @ SV2 ) @ one_one_int )
= ( number_number_of_int @ ( plus_plus_int @ SV2 @ ( bit1 @ pls ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(326,plain,
! [SV3: $i] :
( ( ( power_power_int @ ( power_power_int @ SV3 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= ( power_power_int @ SV3 @ ( number_number_of_nat @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(327,plain,
! [SV4: $i] :
( ( ! [SY99: $i] :
( ( plus_plus_int @ ( number_number_of_int @ SV4 ) @ ( number_number_of_int @ SY99 ) )
= ( number_number_of_int @ ( plus_plus_int @ SV4 @ SY99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(328,plain,
! [SV5: $i] :
( ( ! [SY100: $i] :
( ( power_power_int @ ( semiri1621563631at_int @ SV5 ) @ SY100 )
= ( semiri1621563631at_int @ ( power_power_nat @ SV5 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(329,plain,
! [SV6: $i] :
( ( ! [SY101: $i] :
( ( semiri1621563631at_int @ ( power_power_nat @ SV6 @ SY101 ) )
= ( power_power_int @ ( semiri1621563631at_int @ SV6 ) @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(330,plain,
! [SV7: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ SV7 ) @ ( plus_plus_int @ ( semiri1621563631at_int @ SY102 ) @ SY103 ) )
= ( plus_plus_int @ ( semiri1621563631at_int @ ( plus_plus_nat @ SV7 @ SY102 ) ) @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(331,plain,
! [SV8: $i] :
( ( ! [SY104: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ SV8 ) @ ( semiri1621563631at_int @ SY104 ) )
= ( semiri1621563631at_int @ ( plus_plus_nat @ SV8 @ SY104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(332,plain,
( ( ord_less_int @ pls @ pls )
= $false ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(333,plain,
! [SV9: $i] :
( ( ! [SY105: $i,SY106: $i] :
( ( plus_plus_int @ ( plus_plus_int @ SV9 @ SY105 ) @ SY106 )
= ( plus_plus_int @ SV9 @ ( plus_plus_int @ SY105 @ SY106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(334,plain,
! [SV10: $i] :
( ( ! [SY107: $i,SY108: $i] :
( ( plus_plus_int @ SV10 @ ( plus_plus_int @ SY107 @ SY108 ) )
= ( plus_plus_int @ SY107 @ ( plus_plus_int @ SV10 @ SY108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(335,plain,
! [SV11: $i] :
( ( ! [SY109: $i] :
( ( plus_plus_int @ SV11 @ SY109 )
= ( plus_plus_int @ SY109 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(336,plain,
( ( ord_less_int @ pls @ zero_zero_int )
= $false ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(337,plain,
! [SV12: $i] :
( ( ~ ( ord_less_int @ ( semiri1621563631at_int @ SV12 ) @ zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(338,plain,
! [SV13: $i] :
( ( ( plus_plus_int @ SV13 @ pls )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(339,plain,
! [SV14: $i] :
( ( ( plus_plus_int @ pls @ SV14 )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(340,plain,
! [SV15: $i] :
( ( ! [SY110: $i] :
( ( plus_plus_int @ ( bit0 @ SV15 ) @ ( bit0 @ SY110 ) )
= ( bit0 @ ( plus_plus_int @ SV15 @ SY110 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(341,plain,
! [SV16: $i] :
( ( ( bit0 @ SV16 )
= ( plus_plus_int @ SV16 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(342,plain,
! [SV17: $i] :
( ( ( plus_plus_int @ SV17 @ zero_zero_int )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(343,plain,
! [SV18: $i] :
( ( ( plus_plus_int @ zero_zero_int @ SV18 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(344,plain,
! [SV19: $i] :
( ( ( plus_plus_int @ ( number_number_of_int @ pls ) @ SV19 )
= SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(345,plain,
! [SV20: $i] :
( ( ( plus_plus_int @ SV20 @ ( number_number_of_int @ pls ) )
= SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(346,plain,
! [SV21: $i] :
( ( ! [SY111: $i,SY112: $i] :
( ( plus_plus_int @ ( number_number_of_int @ SV21 ) @ ( plus_plus_int @ ( number_number_of_int @ SY111 ) @ SY112 ) )
= ( plus_plus_int @ ( number_number_of_int @ ( plus_plus_int @ SV21 @ SY111 ) ) @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(347,plain,
! [SV22: $i] :
( ( ! [SY113: $i] :
( ( plus_plus_int @ ( number_number_of_int @ SV22 ) @ ( number_number_of_int @ SY113 ) )
= ( number_number_of_int @ ( plus_plus_int @ SV22 @ SY113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(348,plain,
! [SV23: $i] :
( ( ! [SY114: $i] :
( ( number_number_of_int @ ( plus_plus_int @ SV23 @ SY114 ) )
= ( plus_plus_int @ ( number_number_of_int @ SV23 ) @ ( number_number_of_int @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(349,plain,
! [SV24: $i] :
( ( ! [SY115: $i] :
( ( plus_plus_int @ ( bit1 @ SV24 ) @ ( bit0 @ SY115 ) )
= ( bit1 @ ( plus_plus_int @ SV24 @ SY115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(350,plain,
! [SV25: $i] :
( ( ! [SY116: $i] :
( ( plus_plus_int @ ( bit0 @ SV25 ) @ ( bit1 @ SY116 ) )
= ( bit1 @ ( plus_plus_int @ SV25 @ SY116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(351,plain,
! [SV26: $i] :
( ( ( bit1 @ SV26 )
= ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV26 ) @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(352,plain,
! [SV27: $i] :
( ( ( number_number_of_nat @ ( semiri1621563631at_int @ SV27 ) )
= ( semiri984289939at_nat @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(353,plain,
! [SV28: $i] :
( ( ( number_number_of_int @ ( semiri1621563631at_int @ SV28 ) )
= ( semiri1621563631at_int @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(354,plain,
! [SV29: $i] :
( ( ~ ( ord_less_int @ ( power_power_int @ SV29 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(355,plain,
( ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(356,plain,
! [SV30: $i] :
( ( ! [SY117: $i] :
~ ( ~ ( ( ( number_number_of_nat @ SV30 )
!= SY117 )
| ( SY117
= ( number_number_of_nat @ SV30 ) ) )
| ~ ( ( SY117
!= ( number_number_of_nat @ SV30 ) )
| ( ( number_number_of_nat @ SV30 )
= SY117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(357,plain,
! [SV31: $i] :
( ( ! [SY118: $i] :
( ( bit1 @ SV31 )
!= ( bit0 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(358,plain,
! [SV32: $i] :
( ( ! [SY119: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SY119 ) )
| ( ord_less_int @ SV32 @ SY119 ) )
| ~ ( ~ ( ord_less_int @ SV32 @ SY119 )
| ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SY119 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(359,plain,
! [SV33: $i] :
( ( ~ ( ~ ( ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
| ( SV33 = zero_zero_int ) )
| ~ ( ( SV33 != zero_zero_int )
| ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(360,plain,
! [SV34: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
| ( SV34 != zero_zero_int ) )
| ~ ( ~ ( ( SV34 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(361,plain,
! [SV35: $i] :
( ( ! [SY120: $i] :
~ ( ~ ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SY120 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= zero_zero_int )
| ~ ( ( SV35 != zero_zero_int )
| ( SY120 != zero_zero_int ) ) )
| ~ ( ~ ~ ( ( SV35 != zero_zero_int )
| ( SY120 != zero_zero_int ) )
| ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SY120 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(362,plain,
! [SV36: $i] :
( ( pls
!= ( bit1 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(363,plain,
! [SV37: $i] :
( ( ! [SY121: $i] :
~ ( ~ ( ( ( bit1 @ SV37 )
!= ( bit1 @ SY121 ) )
| ( SV37 = SY121 ) )
| ~ ( ( SV37 != SY121 )
| ( ( bit1 @ SV37 )
= ( bit1 @ SY121 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(364,plain,
( ( zero_zero_int = one_one_int )
= $false ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(365,plain,
! [SV38: $i] :
( ( ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV38 ) @ SV38 )
!= zero_zero_int )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(366,plain,
! [SV39: $i] :
( ( ! [SY122: $i] :
~ ( ~ ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SY122 ) )
!= zero_zero_int )
| ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SY122 )
!= zero_zero_nat ) ) ) )
| ~ ( ~ ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SY122 )
!= zero_zero_nat ) ) )
| ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SY122 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(367,plain,
! [SV40: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV40 ) @ pls )
| ( ord_less_int @ SV40 @ pls ) )
| ~ ( ~ ( ord_less_int @ SV40 @ pls )
| ( ord_less_int @ ( bit0 @ SV40 ) @ pls ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(368,plain,
! [SV41: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ pls @ ( bit0 @ SV41 ) )
| ( ord_less_int @ pls @ SV41 ) )
| ~ ( ~ ( ord_less_int @ pls @ SV41 )
| ( ord_less_int @ pls @ ( bit0 @ SV41 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(369,plain,
! [SV42: $i] :
( ( ! [SY123: $i,SY124: $i] :
( ~ ( ord_less_int @ SY123 @ SY124 )
| ( ord_less_int @ ( plus_plus_int @ SY123 @ SV42 ) @ ( plus_plus_int @ SY124 @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(370,plain,
! [SV43: $i] :
( ( ! [SY125: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SY125 ) )
| ( ord_less_int @ SV43 @ SY125 ) )
| ~ ( ~ ( ord_less_int @ SV43 @ SY125 )
| ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SY125 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(371,plain,
! [SV44: $i] :
( ( ~ ( ~ ( ( pls
!= ( bit0 @ SV44 ) )
| ( pls = SV44 ) )
| ~ ( ( pls != SV44 )
| ( pls
= ( bit0 @ SV44 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(372,plain,
! [SV45: $i] :
( ( ! [SY126: $i] :
~ ( ~ ( ( ( semiri1621563631at_int @ SV45 )
!= ( semiri1621563631at_int @ SY126 ) )
| ( SV45 = SY126 ) )
| ~ ( ( SV45 != SY126 )
| ( ( semiri1621563631at_int @ SV45 )
= ( semiri1621563631at_int @ SY126 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(373,plain,
! [SV46: $i] :
( ( ( bit1 @ SV46 )
!= pls )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(374,plain,
! [SV47: $i] :
( ( ~ ( ~ ( ( ( plus_plus_int @ SV47 @ SV47 )
!= zero_zero_int )
| ( SV47 = zero_zero_int ) )
| ~ ( ( SV47 != zero_zero_int )
| ( ( plus_plus_int @ SV47 @ SV47 )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(375,plain,
! [SV48: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV48 ) @ pls )
| ( ord_less_int @ SV48 @ pls ) )
| ~ ( ~ ( ord_less_int @ SV48 @ pls )
| ( ord_less_int @ ( bit1 @ SV48 ) @ pls ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(376,plain,
! [SV49: $i] :
( ( ! [SY127: $i] :
~ ( ~ ( ( ( bit0 @ SV49 )
!= ( bit0 @ SY127 ) )
| ( SV49 = SY127 ) )
| ~ ( ( SV49 != SY127 )
| ( ( bit0 @ SV49 )
= ( bit0 @ SY127 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(377,plain,
! [SV50: $i] :
( ( ! [SY128: $i] :
( ( bit0 @ SV50 )
!= ( bit1 @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(378,plain,
! [SV51: $i] :
( ( ! [SY129: $i] :
~ ( ~ ( ~ ( ord_less_int @ SV51 @ ( plus_plus_int @ SY129 @ one_one_int ) )
| ( ord_less_int @ SV51 @ SY129 )
| ( SV51 = SY129 ) )
| ~ ( ~ ( ( ord_less_int @ SV51 @ SY129 )
| ( SV51 = SY129 ) )
| ( ord_less_int @ SV51 @ ( plus_plus_int @ SY129 @ one_one_int ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(379,plain,
! [SV52: $i] :
( ( ~ ( ~ ( ( ( bit0 @ SV52 )
!= pls )
| ( SV52 = pls ) )
| ~ ( ( SV52 != pls )
| ( ( bit0 @ SV52 )
= pls ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(380,plain,
! [SV53: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int )
| ( ord_less_int @ SV53 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SV53 @ zero_zero_int )
| ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(381,plain,
! [SV54: $i] :
( ( ~ ( ~ ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= one_one_int ) )
| ~ ( ~ ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(382,plain,
! [SV55: $i] :
( ( ! [SY130: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SY130 ) )
| ( ord_less_int @ SV55 @ SY130 ) )
| ~ ( ~ ( ord_less_int @ SV55 @ SY130 )
| ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SY130 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(383,plain,
! [SV56: $i] :
( ( ! [SY131: $i] :
~ ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SY131 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( SV56 != zero_zero_int )
| ( SY131 != zero_zero_int ) )
| ~ ( ~ ( ( SV56 != zero_zero_int )
| ( SY131 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SY131 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(384,plain,
! [SV57: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int )
| ( ord_less_int @ SV57 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SV57 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(385,plain,
! [SV58: $i] :
( ( ! [SY132: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SY132 ) )
| ( ord_less_int @ SV58 @ SY132 ) )
| ~ ( ~ ( ord_less_int @ SV58 @ SY132 )
| ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SY132 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(386,plain,
! [SV59: $i] :
( ( ! [SY133: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SY133 ) )
| ( ord_less_int @ SV59 @ SY133 ) )
| ~ ( ~ ( ord_less_int @ SV59 @ SY133 )
| ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SY133 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(387,plain,
! [SV60: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int )
| ( ord_less_int @ SV60 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SV60 @ zero_zero_int )
| ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(388,plain,
! [SV61: $i] :
( ( ! [SY134: $i] :
~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SY134 ) )
| ( ord_less_int @ SV61 @ SY134 ) )
| ~ ( ~ ( ord_less_int @ SV61 @ SY134 )
| ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SY134 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(389,plain,
! [SV62: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int )
| ( ord_less_int @ SV62 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SV62 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(390,plain,
! [SV63: $i] :
( ( ~ ( ~ ( ( ( semiri1621563631at_int @ SV63 )
!= zero_zero_int )
| ( SV63 = zero_zero_nat ) )
| ~ ( ( SV63 != zero_zero_nat )
| ( ( semiri1621563631at_int @ SV63 )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(391,plain,
! [SV64: $i,SV4: $i] :
( ( ( plus_plus_int @ ( number_number_of_int @ SV4 ) @ ( number_number_of_int @ SV64 ) )
= ( number_number_of_int @ ( plus_plus_int @ SV4 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(392,plain,
! [SV65: $i,SV5: $i] :
( ( ( power_power_int @ ( semiri1621563631at_int @ SV5 ) @ SV65 )
= ( semiri1621563631at_int @ ( power_power_nat @ SV5 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(393,plain,
! [SV66: $i,SV6: $i] :
( ( ( semiri1621563631at_int @ ( power_power_nat @ SV6 @ SV66 ) )
= ( power_power_int @ ( semiri1621563631at_int @ SV6 ) @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(394,plain,
! [SV67: $i,SV7: $i] :
( ( ! [SY135: $i] :
( ( plus_plus_int @ ( semiri1621563631at_int @ SV7 ) @ ( plus_plus_int @ ( semiri1621563631at_int @ SV67 ) @ SY135 ) )
= ( plus_plus_int @ ( semiri1621563631at_int @ ( plus_plus_nat @ SV7 @ SV67 ) ) @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(395,plain,
! [SV68: $i,SV8: $i] :
( ( ( plus_plus_int @ ( semiri1621563631at_int @ SV8 ) @ ( semiri1621563631at_int @ SV68 ) )
= ( semiri1621563631at_int @ ( plus_plus_nat @ SV8 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(396,plain,
! [SV69: $i,SV9: $i] :
( ( ! [SY136: $i] :
( ( plus_plus_int @ ( plus_plus_int @ SV9 @ SV69 ) @ SY136 )
= ( plus_plus_int @ SV9 @ ( plus_plus_int @ SV69 @ SY136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(397,plain,
! [SV70: $i,SV10: $i] :
( ( ! [SY137: $i] :
( ( plus_plus_int @ SV10 @ ( plus_plus_int @ SV70 @ SY137 ) )
= ( plus_plus_int @ SV70 @ ( plus_plus_int @ SV10 @ SY137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(398,plain,
! [SV71: $i,SV11: $i] :
( ( ( plus_plus_int @ SV11 @ SV71 )
= ( plus_plus_int @ SV71 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(399,plain,
! [SV12: $i] :
( ( ord_less_int @ ( semiri1621563631at_int @ SV12 ) @ zero_zero_int )
= $false ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(400,plain,
! [SV72: $i,SV15: $i] :
( ( ( plus_plus_int @ ( bit0 @ SV15 ) @ ( bit0 @ SV72 ) )
= ( bit0 @ ( plus_plus_int @ SV15 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(401,plain,
! [SV73: $i,SV21: $i] :
( ( ! [SY138: $i] :
( ( plus_plus_int @ ( number_number_of_int @ SV21 ) @ ( plus_plus_int @ ( number_number_of_int @ SV73 ) @ SY138 ) )
= ( plus_plus_int @ ( number_number_of_int @ ( plus_plus_int @ SV21 @ SV73 ) ) @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(402,plain,
! [SV74: $i,SV22: $i] :
( ( ( plus_plus_int @ ( number_number_of_int @ SV22 ) @ ( number_number_of_int @ SV74 ) )
= ( number_number_of_int @ ( plus_plus_int @ SV22 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(403,plain,
! [SV75: $i,SV23: $i] :
( ( ( number_number_of_int @ ( plus_plus_int @ SV23 @ SV75 ) )
= ( plus_plus_int @ ( number_number_of_int @ SV23 ) @ ( number_number_of_int @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(404,plain,
! [SV76: $i,SV24: $i] :
( ( ( plus_plus_int @ ( bit1 @ SV24 ) @ ( bit0 @ SV76 ) )
= ( bit1 @ ( plus_plus_int @ SV24 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(405,plain,
! [SV77: $i,SV25: $i] :
( ( ( plus_plus_int @ ( bit0 @ SV25 ) @ ( bit1 @ SV77 ) )
= ( bit1 @ ( plus_plus_int @ SV25 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(406,plain,
! [SV29: $i] :
( ( ord_less_int @ ( power_power_int @ SV29 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ zero_zero_int )
= $false ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(407,plain,
( ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
= $true ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(408,plain,
! [SV78: $i,SV30: $i] :
( ( ~ ( ~ ( ( ( number_number_of_nat @ SV30 )
!= SV78 )
| ( SV78
= ( number_number_of_nat @ SV30 ) ) )
| ~ ( ( SV78
!= ( number_number_of_nat @ SV30 ) )
| ( ( number_number_of_nat @ SV30 )
= SV78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(409,plain,
! [SV79: $i,SV31: $i] :
( ( ( bit1 @ SV31 )
!= ( bit0 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(410,plain,
! [SV80: $i,SV32: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) )
| ( ord_less_int @ SV32 @ SV80 ) )
| ~ ( ~ ( ord_less_int @ SV32 @ SV80 )
| ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(411,plain,
! [SV33: $i] :
( ( ~ ( ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
| ( SV33 = zero_zero_int ) )
| ~ ( ( SV33 != zero_zero_int )
| ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(412,plain,
! [SV34: $i] :
( ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
| ( SV34 != zero_zero_int ) )
| ~ ( ~ ( ( SV34 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(413,plain,
! [SV81: $i,SV35: $i] :
( ( ~ ( ~ ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= zero_zero_int )
| ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) ) )
| ~ ( ~ ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) )
| ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(414,plain,
! [SV36: $i] :
( ( pls
= ( bit1 @ SV36 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(415,plain,
! [SV82: $i,SV37: $i] :
( ( ~ ( ~ ( ( ( bit1 @ SV37 )
!= ( bit1 @ SV82 ) )
| ( SV37 = SV82 ) )
| ~ ( ( SV37 != SV82 )
| ( ( bit1 @ SV37 )
= ( bit1 @ SV82 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(416,plain,
! [SV38: $i] :
( ( ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV38 ) @ SV38 )
= zero_zero_int )
= $false ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(417,plain,
! [SV83: $i,SV39: $i] :
( ( ~ ( ~ ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
!= zero_zero_int )
| ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) ) )
| ~ ( ~ ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
| ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(418,plain,
! [SV40: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV40 ) @ pls )
| ( ord_less_int @ SV40 @ pls ) )
| ~ ( ~ ( ord_less_int @ SV40 @ pls )
| ( ord_less_int @ ( bit0 @ SV40 ) @ pls ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(419,plain,
! [SV41: $i] :
( ( ~ ( ~ ( ord_less_int @ pls @ ( bit0 @ SV41 ) )
| ( ord_less_int @ pls @ SV41 ) )
| ~ ( ~ ( ord_less_int @ pls @ SV41 )
| ( ord_less_int @ pls @ ( bit0 @ SV41 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(420,plain,
! [SV42: $i,SV84: $i] :
( ( ! [SY139: $i] :
( ~ ( ord_less_int @ SV84 @ SY139 )
| ( ord_less_int @ ( plus_plus_int @ SV84 @ SV42 ) @ ( plus_plus_int @ SY139 @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(421,plain,
! [SV85: $i,SV43: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) )
| ( ord_less_int @ SV43 @ SV85 ) )
| ~ ( ~ ( ord_less_int @ SV43 @ SV85 )
| ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(422,plain,
! [SV44: $i] :
( ( ~ ( ( pls
!= ( bit0 @ SV44 ) )
| ( pls = SV44 ) )
| ~ ( ( pls != SV44 )
| ( pls
= ( bit0 @ SV44 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(423,plain,
! [SV86: $i,SV45: $i] :
( ( ~ ( ~ ( ( ( semiri1621563631at_int @ SV45 )
!= ( semiri1621563631at_int @ SV86 ) )
| ( SV45 = SV86 ) )
| ~ ( ( SV45 != SV86 )
| ( ( semiri1621563631at_int @ SV45 )
= ( semiri1621563631at_int @ SV86 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(424,plain,
! [SV46: $i] :
( ( ( bit1 @ SV46 )
= pls )
= $false ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(425,plain,
! [SV47: $i] :
( ( ~ ( ( ( plus_plus_int @ SV47 @ SV47 )
!= zero_zero_int )
| ( SV47 = zero_zero_int ) )
| ~ ( ( SV47 != zero_zero_int )
| ( ( plus_plus_int @ SV47 @ SV47 )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(426,plain,
! [SV48: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV48 ) @ pls )
| ( ord_less_int @ SV48 @ pls ) )
| ~ ( ~ ( ord_less_int @ SV48 @ pls )
| ( ord_less_int @ ( bit1 @ SV48 ) @ pls ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(427,plain,
! [SV87: $i,SV49: $i] :
( ( ~ ( ~ ( ( ( bit0 @ SV49 )
!= ( bit0 @ SV87 ) )
| ( SV49 = SV87 ) )
| ~ ( ( SV49 != SV87 )
| ( ( bit0 @ SV49 )
= ( bit0 @ SV87 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(428,plain,
! [SV88: $i,SV50: $i] :
( ( ( bit0 @ SV50 )
!= ( bit1 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(429,plain,
! [SV89: $i,SV51: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
| ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
| ~ ( ~ ( ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
| ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(430,plain,
! [SV52: $i] :
( ( ~ ( ( ( bit0 @ SV52 )
!= pls )
| ( SV52 = pls ) )
| ~ ( ( SV52 != pls )
| ( ( bit0 @ SV52 )
= pls ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(431,plain,
! [SV53: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int )
| ( ord_less_int @ SV53 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SV53 @ zero_zero_int )
| ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(432,plain,
! [SV54: $i] :
( ( ~ ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= one_one_int ) )
| ~ ( ~ ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(433,plain,
! [SV90: $i,SV55: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) )
| ( ord_less_int @ SV55 @ SV90 ) )
| ~ ( ~ ( ord_less_int @ SV55 @ SV90 )
| ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(434,plain,
! [SV91: $i,SV56: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
| ~ ( ~ ( ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(435,plain,
! [SV57: $i] :
( ( ~ ( ~ ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int )
| ( ord_less_int @ SV57 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SV57 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(436,plain,
! [SV92: $i,SV58: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) )
| ( ord_less_int @ SV58 @ SV92 ) )
| ~ ( ~ ( ord_less_int @ SV58 @ SV92 )
| ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(437,plain,
! [SV93: $i,SV59: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) )
| ( ord_less_int @ SV59 @ SV93 ) )
| ~ ( ~ ( ord_less_int @ SV59 @ SV93 )
| ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(438,plain,
! [SV60: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int )
| ( ord_less_int @ SV60 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SV60 @ zero_zero_int )
| ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(439,plain,
! [SV94: $i,SV61: $i] :
( ( ~ ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) )
| ( ord_less_int @ SV61 @ SV94 ) )
| ~ ( ~ ( ord_less_int @ SV61 @ SV94 )
| ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(440,plain,
! [SV62: $i] :
( ( ~ ( ~ ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int )
| ( ord_less_int @ SV62 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_int @ SV62 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(441,plain,
! [SV63: $i] :
( ( ~ ( ( ( semiri1621563631at_int @ SV63 )
!= zero_zero_int )
| ( SV63 = zero_zero_nat ) )
| ~ ( ( SV63 != zero_zero_nat )
| ( ( semiri1621563631at_int @ SV63 )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(442,plain,
! [SV95: $i,SV67: $i,SV7: $i] :
( ( ( plus_plus_int @ ( semiri1621563631at_int @ SV7 ) @ ( plus_plus_int @ ( semiri1621563631at_int @ SV67 ) @ SV95 ) )
= ( plus_plus_int @ ( semiri1621563631at_int @ ( plus_plus_nat @ SV7 @ SV67 ) ) @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(443,plain,
! [SV96: $i,SV69: $i,SV9: $i] :
( ( ( plus_plus_int @ ( plus_plus_int @ SV9 @ SV69 ) @ SV96 )
= ( plus_plus_int @ SV9 @ ( plus_plus_int @ SV69 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(444,plain,
! [SV97: $i,SV70: $i,SV10: $i] :
( ( ( plus_plus_int @ SV10 @ ( plus_plus_int @ SV70 @ SV97 ) )
= ( plus_plus_int @ SV70 @ ( plus_plus_int @ SV10 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(445,plain,
! [SV98: $i,SV73: $i,SV21: $i] :
( ( ( plus_plus_int @ ( number_number_of_int @ SV21 ) @ ( plus_plus_int @ ( number_number_of_int @ SV73 ) @ SV98 ) )
= ( plus_plus_int @ ( number_number_of_int @ ( plus_plus_int @ SV21 @ SV73 ) ) @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(446,plain,
! [SV78: $i,SV30: $i] :
( ( ~ ( ( ( number_number_of_nat @ SV30 )
!= SV78 )
| ( SV78
= ( number_number_of_nat @ SV30 ) ) )
| ~ ( ( SV78
!= ( number_number_of_nat @ SV30 ) )
| ( ( number_number_of_nat @ SV30 )
= SV78 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(447,plain,
! [SV79: $i,SV31: $i] :
( ( ( bit1 @ SV31 )
= ( bit0 @ SV79 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(448,plain,
! [SV80: $i,SV32: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) )
| ( ord_less_int @ SV32 @ SV80 ) )
| ~ ( ~ ( ord_less_int @ SV32 @ SV80 )
| ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(449,plain,
! [SV33: $i] :
( ( ~ ( ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
| ( SV33 = zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(450,plain,
! [SV33: $i] :
( ( ~ ( ( SV33 != zero_zero_int )
| ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(451,plain,
! [SV34: $i] :
( ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
| ( SV34 != zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(452,plain,
! [SV34: $i] :
( ( ~ ( ~ ( ( SV34 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(453,plain,
! [SV81: $i,SV35: $i] :
( ( ~ ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= zero_zero_int )
| ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) ) )
| ~ ( ~ ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) )
| ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(454,plain,
! [SV82: $i,SV37: $i] :
( ( ~ ( ( ( bit1 @ SV37 )
!= ( bit1 @ SV82 ) )
| ( SV37 = SV82 ) )
| ~ ( ( SV37 != SV82 )
| ( ( bit1 @ SV37 )
= ( bit1 @ SV82 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(455,plain,
! [SV83: $i,SV39: $i] :
( ( ~ ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
!= zero_zero_int )
| ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) ) )
| ~ ( ~ ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
| ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(456,plain,
! [SV40: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV40 ) @ pls )
| ( ord_less_int @ SV40 @ pls ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(457,plain,
! [SV40: $i] :
( ( ~ ( ~ ( ord_less_int @ SV40 @ pls )
| ( ord_less_int @ ( bit0 @ SV40 ) @ pls ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(458,plain,
! [SV41: $i] :
( ( ~ ( ~ ( ord_less_int @ pls @ ( bit0 @ SV41 ) )
| ( ord_less_int @ pls @ SV41 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(459,plain,
! [SV41: $i] :
( ( ~ ( ~ ( ord_less_int @ pls @ SV41 )
| ( ord_less_int @ pls @ ( bit0 @ SV41 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(460,plain,
! [SV42: $i,SV99: $i,SV84: $i] :
( ( ~ ( ord_less_int @ SV84 @ SV99 )
| ( ord_less_int @ ( plus_plus_int @ SV84 @ SV42 ) @ ( plus_plus_int @ SV99 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(461,plain,
! [SV85: $i,SV43: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) )
| ( ord_less_int @ SV43 @ SV85 ) )
| ~ ( ~ ( ord_less_int @ SV43 @ SV85 )
| ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(462,plain,
! [SV44: $i] :
( ( ~ ( ( pls
!= ( bit0 @ SV44 ) )
| ( pls = SV44 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(463,plain,
! [SV44: $i] :
( ( ~ ( ( pls != SV44 )
| ( pls
= ( bit0 @ SV44 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(464,plain,
! [SV86: $i,SV45: $i] :
( ( ~ ( ( ( semiri1621563631at_int @ SV45 )
!= ( semiri1621563631at_int @ SV86 ) )
| ( SV45 = SV86 ) )
| ~ ( ( SV45 != SV86 )
| ( ( semiri1621563631at_int @ SV45 )
= ( semiri1621563631at_int @ SV86 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(465,plain,
! [SV47: $i] :
( ( ~ ( ( ( plus_plus_int @ SV47 @ SV47 )
!= zero_zero_int )
| ( SV47 = zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(466,plain,
! [SV47: $i] :
( ( ~ ( ( SV47 != zero_zero_int )
| ( ( plus_plus_int @ SV47 @ SV47 )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[425]) ).
thf(467,plain,
! [SV48: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV48 ) @ pls )
| ( ord_less_int @ SV48 @ pls ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[426]) ).
thf(468,plain,
! [SV48: $i] :
( ( ~ ( ~ ( ord_less_int @ SV48 @ pls )
| ( ord_less_int @ ( bit1 @ SV48 ) @ pls ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[426]) ).
thf(469,plain,
! [SV87: $i,SV49: $i] :
( ( ~ ( ( ( bit0 @ SV49 )
!= ( bit0 @ SV87 ) )
| ( SV49 = SV87 ) )
| ~ ( ( SV49 != SV87 )
| ( ( bit0 @ SV49 )
= ( bit0 @ SV87 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(470,plain,
! [SV88: $i,SV50: $i] :
( ( ( bit0 @ SV50 )
= ( bit1 @ SV88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(471,plain,
! [SV89: $i,SV51: $i] :
( ( ~ ( ~ ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
| ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
| ~ ( ~ ( ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
| ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(472,plain,
! [SV52: $i] :
( ( ~ ( ( ( bit0 @ SV52 )
!= pls )
| ( SV52 = pls ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(473,plain,
! [SV52: $i] :
( ( ~ ( ( SV52 != pls )
| ( ( bit0 @ SV52 )
= pls ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(474,plain,
! [SV53: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int )
| ( ord_less_int @ SV53 @ zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(475,plain,
! [SV53: $i] :
( ( ~ ( ~ ( ord_less_int @ SV53 @ zero_zero_int )
| ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(476,plain,
! [SV54: $i] :
( ( ~ ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= one_one_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(477,plain,
! [SV54: $i] :
( ( ~ ( ~ ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(478,plain,
! [SV90: $i,SV55: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) )
| ( ord_less_int @ SV55 @ SV90 ) )
| ~ ( ~ ( ord_less_int @ SV55 @ SV90 )
| ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(479,plain,
! [SV91: $i,SV56: $i] :
( ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
| ~ ( ~ ( ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(480,plain,
! [SV57: $i] :
( ( ~ ( ~ ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int )
| ( ord_less_int @ SV57 @ zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(481,plain,
! [SV57: $i] :
( ( ~ ( ~ ( ord_less_int @ SV57 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[435]) ).
thf(482,plain,
! [SV92: $i,SV58: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) )
| ( ord_less_int @ SV58 @ SV92 ) )
| ~ ( ~ ( ord_less_int @ SV58 @ SV92 )
| ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(483,plain,
! [SV93: $i,SV59: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) )
| ( ord_less_int @ SV59 @ SV93 ) )
| ~ ( ~ ( ord_less_int @ SV59 @ SV93 )
| ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(484,plain,
! [SV60: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int )
| ( ord_less_int @ SV60 @ zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(485,plain,
! [SV60: $i] :
( ( ~ ( ~ ( ord_less_int @ SV60 @ zero_zero_int )
| ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(486,plain,
! [SV94: $i,SV61: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) )
| ( ord_less_int @ SV61 @ SV94 ) )
| ~ ( ~ ( ord_less_int @ SV61 @ SV94 )
| ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(487,plain,
! [SV62: $i] :
( ( ~ ( ~ ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int )
| ( ord_less_int @ SV62 @ zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(488,plain,
! [SV62: $i] :
( ( ~ ( ~ ( ord_less_int @ SV62 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(489,plain,
! [SV63: $i] :
( ( ~ ( ( ( semiri1621563631at_int @ SV63 )
!= zero_zero_int )
| ( SV63 = zero_zero_nat ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(490,plain,
! [SV63: $i] :
( ( ~ ( ( SV63 != zero_zero_nat )
| ( ( semiri1621563631at_int @ SV63 )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(491,plain,
! [SV78: $i,SV30: $i] :
( ( ~ ( ( ( number_number_of_nat @ SV30 )
!= SV78 )
| ( SV78
= ( number_number_of_nat @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(492,plain,
! [SV30: $i,SV78: $i] :
( ( ~ ( ( SV78
!= ( number_number_of_nat @ SV30 ) )
| ( ( number_number_of_nat @ SV30 )
= SV78 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[446]) ).
thf(493,plain,
! [SV80: $i,SV32: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) )
| ( ord_less_int @ SV32 @ SV80 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(494,plain,
! [SV80: $i,SV32: $i] :
( ( ~ ( ~ ( ord_less_int @ SV32 @ SV80 )
| ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(495,plain,
! [SV33: $i] :
( ( ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
| ( SV33 = zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(496,plain,
! [SV33: $i] :
( ( ( SV33 != zero_zero_int )
| ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(497,plain,
! [SV34: $i] :
( ( ~ ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
| ( SV34 != zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(498,plain,
! [SV34: $i] :
( ( ~ ( ( SV34 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(499,plain,
! [SV81: $i,SV35: $i] :
( ( ~ ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= zero_zero_int )
| ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(500,plain,
! [SV81: $i,SV35: $i] :
( ( ~ ( ~ ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) )
| ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[453]) ).
thf(501,plain,
! [SV82: $i,SV37: $i] :
( ( ~ ( ( ( bit1 @ SV37 )
!= ( bit1 @ SV82 ) )
| ( SV37 = SV82 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(502,plain,
! [SV82: $i,SV37: $i] :
( ( ~ ( ( SV37 != SV82 )
| ( ( bit1 @ SV37 )
= ( bit1 @ SV82 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(503,plain,
! [SV83: $i,SV39: $i] :
( ( ~ ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
!= zero_zero_int )
| ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(504,plain,
! [SV83: $i,SV39: $i] :
( ( ~ ( ~ ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
| ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(505,plain,
! [SV40: $i] :
( ( ~ ( ord_less_int @ ( bit0 @ SV40 ) @ pls )
| ( ord_less_int @ SV40 @ pls ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(506,plain,
! [SV40: $i] :
( ( ~ ( ord_less_int @ SV40 @ pls )
| ( ord_less_int @ ( bit0 @ SV40 ) @ pls ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(507,plain,
! [SV41: $i] :
( ( ~ ( ord_less_int @ pls @ ( bit0 @ SV41 ) )
| ( ord_less_int @ pls @ SV41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(508,plain,
! [SV41: $i] :
( ( ~ ( ord_less_int @ pls @ SV41 )
| ( ord_less_int @ pls @ ( bit0 @ SV41 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(509,plain,
! [SV42: $i,SV99: $i,SV84: $i] :
( ( ( ~ ( ord_less_int @ SV84 @ SV99 ) )
= $true )
| ( ( ord_less_int @ ( plus_plus_int @ SV84 @ SV42 ) @ ( plus_plus_int @ SV99 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(510,plain,
! [SV85: $i,SV43: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) )
| ( ord_less_int @ SV43 @ SV85 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(511,plain,
! [SV85: $i,SV43: $i] :
( ( ~ ( ~ ( ord_less_int @ SV43 @ SV85 )
| ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(512,plain,
! [SV44: $i] :
( ( ( pls
!= ( bit0 @ SV44 ) )
| ( pls = SV44 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(513,plain,
! [SV44: $i] :
( ( ( pls != SV44 )
| ( pls
= ( bit0 @ SV44 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(514,plain,
! [SV86: $i,SV45: $i] :
( ( ~ ( ( ( semiri1621563631at_int @ SV45 )
!= ( semiri1621563631at_int @ SV86 ) )
| ( SV45 = SV86 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(515,plain,
! [SV86: $i,SV45: $i] :
( ( ~ ( ( SV45 != SV86 )
| ( ( semiri1621563631at_int @ SV45 )
= ( semiri1621563631at_int @ SV86 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(516,plain,
! [SV47: $i] :
( ( ( ( plus_plus_int @ SV47 @ SV47 )
!= zero_zero_int )
| ( SV47 = zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(517,plain,
! [SV47: $i] :
( ( ( SV47 != zero_zero_int )
| ( ( plus_plus_int @ SV47 @ SV47 )
= zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(518,plain,
! [SV48: $i] :
( ( ~ ( ord_less_int @ ( bit1 @ SV48 ) @ pls )
| ( ord_less_int @ SV48 @ pls ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(519,plain,
! [SV48: $i] :
( ( ~ ( ord_less_int @ SV48 @ pls )
| ( ord_less_int @ ( bit1 @ SV48 ) @ pls ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(520,plain,
! [SV87: $i,SV49: $i] :
( ( ~ ( ( ( bit0 @ SV49 )
!= ( bit0 @ SV87 ) )
| ( SV49 = SV87 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(521,plain,
! [SV87: $i,SV49: $i] :
( ( ~ ( ( SV49 != SV87 )
| ( ( bit0 @ SV49 )
= ( bit0 @ SV87 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(522,plain,
! [SV89: $i,SV51: $i] :
( ( ~ ( ~ ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
| ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(523,plain,
! [SV89: $i,SV51: $i] :
( ( ~ ( ~ ( ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
| ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(524,plain,
! [SV52: $i] :
( ( ( ( bit0 @ SV52 )
!= pls )
| ( SV52 = pls ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(525,plain,
! [SV52: $i] :
( ( ( SV52 != pls )
| ( ( bit0 @ SV52 )
= pls ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[473]) ).
thf(526,plain,
! [SV53: $i] :
( ( ~ ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int )
| ( ord_less_int @ SV53 @ zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(527,plain,
! [SV53: $i] :
( ( ~ ( ord_less_int @ SV53 @ zero_zero_int )
| ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(528,plain,
! [SV54: $i] :
( ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= one_one_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(529,plain,
! [SV54: $i] :
( ( ~ ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(530,plain,
! [SV90: $i,SV55: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) )
| ( ord_less_int @ SV55 @ SV90 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(531,plain,
! [SV90: $i,SV55: $i] :
( ( ~ ( ~ ( ord_less_int @ SV55 @ SV90 )
| ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[478]) ).
thf(532,plain,
! [SV91: $i,SV56: $i] :
( ( ~ ( ~ ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(533,plain,
! [SV91: $i,SV56: $i] :
( ( ~ ( ~ ( ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[479]) ).
thf(534,plain,
! [SV57: $i] :
( ( ~ ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int )
| ( ord_less_int @ SV57 @ zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(535,plain,
! [SV57: $i] :
( ( ~ ( ord_less_int @ SV57 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(536,plain,
! [SV92: $i,SV58: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) )
| ( ord_less_int @ SV58 @ SV92 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(537,plain,
! [SV92: $i,SV58: $i] :
( ( ~ ( ~ ( ord_less_int @ SV58 @ SV92 )
| ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[482]) ).
thf(538,plain,
! [SV93: $i,SV59: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) )
| ( ord_less_int @ SV59 @ SV93 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(539,plain,
! [SV93: $i,SV59: $i] :
( ( ~ ( ~ ( ord_less_int @ SV59 @ SV93 )
| ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[483]) ).
thf(540,plain,
! [SV60: $i] :
( ( ~ ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int )
| ( ord_less_int @ SV60 @ zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(541,plain,
! [SV60: $i] :
( ( ~ ( ord_less_int @ SV60 @ zero_zero_int )
| ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(542,plain,
! [SV94: $i,SV61: $i] :
( ( ~ ( ~ ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) )
| ( ord_less_int @ SV61 @ SV94 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(543,plain,
! [SV94: $i,SV61: $i] :
( ( ~ ( ~ ( ord_less_int @ SV61 @ SV94 )
| ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(544,plain,
! [SV62: $i] :
( ( ~ ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int )
| ( ord_less_int @ SV62 @ zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(545,plain,
! [SV62: $i] :
( ( ~ ( ord_less_int @ SV62 @ zero_zero_int )
| ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(546,plain,
! [SV63: $i] :
( ( ( ( semiri1621563631at_int @ SV63 )
!= zero_zero_int )
| ( SV63 = zero_zero_nat ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(547,plain,
! [SV63: $i] :
( ( ( SV63 != zero_zero_nat )
| ( ( semiri1621563631at_int @ SV63 )
= zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(548,plain,
! [SV78: $i,SV30: $i] :
( ( ( ( number_number_of_nat @ SV30 )
!= SV78 )
| ( SV78
= ( number_number_of_nat @ SV30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(549,plain,
! [SV30: $i,SV78: $i] :
( ( ( SV78
!= ( number_number_of_nat @ SV30 ) )
| ( ( number_number_of_nat @ SV30 )
= SV78 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(550,plain,
! [SV80: $i,SV32: $i] :
( ( ~ ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) )
| ( ord_less_int @ SV32 @ SV80 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(551,plain,
! [SV80: $i,SV32: $i] :
( ( ~ ( ord_less_int @ SV32 @ SV80 )
| ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(552,plain,
! [SV33: $i] :
( ( ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
!= zero_zero_int )
= $true )
| ( ( SV33 = zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(553,plain,
! [SV33: $i] :
( ( ( SV33 != zero_zero_int )
= $true )
| ( ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(554,plain,
! [SV34: $i] :
( ( ( ~ ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true )
| ( ( SV34 != zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(555,plain,
! [SV34: $i] :
( ( ( ~ ( ( SV34 != zero_zero_int ) ) )
= $true )
| ( ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(556,plain,
! [SV81: $i,SV35: $i] :
( ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= zero_zero_int )
| ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(557,plain,
! [SV81: $i,SV35: $i] :
( ( ~ ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) )
| ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(558,plain,
! [SV82: $i,SV37: $i] :
( ( ( ( bit1 @ SV37 )
!= ( bit1 @ SV82 ) )
| ( SV37 = SV82 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(559,plain,
! [SV82: $i,SV37: $i] :
( ( ( SV37 != SV82 )
| ( ( bit1 @ SV37 )
= ( bit1 @ SV82 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(560,plain,
! [SV83: $i,SV39: $i] :
( ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
!= zero_zero_int )
| ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(561,plain,
! [SV83: $i,SV39: $i] :
( ( ~ ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
| ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(562,plain,
! [SV40: $i] :
( ( ( ~ ( ord_less_int @ ( bit0 @ SV40 ) @ pls ) )
= $true )
| ( ( ord_less_int @ SV40 @ pls )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(563,plain,
! [SV40: $i] :
( ( ( ~ ( ord_less_int @ SV40 @ pls ) )
= $true )
| ( ( ord_less_int @ ( bit0 @ SV40 ) @ pls )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(564,plain,
! [SV41: $i] :
( ( ( ~ ( ord_less_int @ pls @ ( bit0 @ SV41 ) ) )
= $true )
| ( ( ord_less_int @ pls @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(565,plain,
! [SV41: $i] :
( ( ( ~ ( ord_less_int @ pls @ SV41 ) )
= $true )
| ( ( ord_less_int @ pls @ ( bit0 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(566,plain,
! [SV42: $i,SV99: $i,SV84: $i] :
( ( ( ord_less_int @ SV84 @ SV99 )
= $false )
| ( ( ord_less_int @ ( plus_plus_int @ SV84 @ SV42 ) @ ( plus_plus_int @ SV99 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(567,plain,
! [SV85: $i,SV43: $i] :
( ( ~ ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) )
| ( ord_less_int @ SV43 @ SV85 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(568,plain,
! [SV85: $i,SV43: $i] :
( ( ~ ( ord_less_int @ SV43 @ SV85 )
| ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(569,plain,
! [SV44: $i] :
( ( ( pls
!= ( bit0 @ SV44 ) )
= $true )
| ( ( pls = SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(570,plain,
! [SV44: $i] :
( ( ( pls != SV44 )
= $true )
| ( ( pls
= ( bit0 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(571,plain,
! [SV86: $i,SV45: $i] :
( ( ( ( semiri1621563631at_int @ SV45 )
!= ( semiri1621563631at_int @ SV86 ) )
| ( SV45 = SV86 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(572,plain,
! [SV86: $i,SV45: $i] :
( ( ( SV45 != SV86 )
| ( ( semiri1621563631at_int @ SV45 )
= ( semiri1621563631at_int @ SV86 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(573,plain,
! [SV47: $i] :
( ( ( ( plus_plus_int @ SV47 @ SV47 )
!= zero_zero_int )
= $true )
| ( ( SV47 = zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(574,plain,
! [SV47: $i] :
( ( ( SV47 != zero_zero_int )
= $true )
| ( ( ( plus_plus_int @ SV47 @ SV47 )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(575,plain,
! [SV48: $i] :
( ( ( ~ ( ord_less_int @ ( bit1 @ SV48 ) @ pls ) )
= $true )
| ( ( ord_less_int @ SV48 @ pls )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(576,plain,
! [SV48: $i] :
( ( ( ~ ( ord_less_int @ SV48 @ pls ) )
= $true )
| ( ( ord_less_int @ ( bit1 @ SV48 ) @ pls )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(577,plain,
! [SV87: $i,SV49: $i] :
( ( ( ( bit0 @ SV49 )
!= ( bit0 @ SV87 ) )
| ( SV49 = SV87 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(578,plain,
! [SV87: $i,SV49: $i] :
( ( ( SV49 != SV87 )
| ( ( bit0 @ SV49 )
= ( bit0 @ SV87 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(579,plain,
! [SV89: $i,SV51: $i] :
( ( ~ ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
| ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(580,plain,
! [SV89: $i,SV51: $i] :
( ( ~ ( ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
| ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[523]) ).
thf(581,plain,
! [SV52: $i] :
( ( ( ( bit0 @ SV52 )
!= pls )
= $true )
| ( ( SV52 = pls )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(582,plain,
! [SV52: $i] :
( ( ( SV52 != pls )
= $true )
| ( ( ( bit0 @ SV52 )
= pls )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(583,plain,
! [SV53: $i] :
( ( ( ~ ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int ) )
= $true )
| ( ( ord_less_int @ SV53 @ zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(584,plain,
! [SV53: $i] :
( ( ( ~ ( ord_less_int @ SV53 @ zero_zero_int ) )
= $true )
| ( ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(585,plain,
! [SV54: $i] :
( ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat )
= $true )
| ( ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= one_one_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(586,plain,
! [SV54: $i] :
( ( ( ~ ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat ) ) )
= $true )
| ( ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(587,plain,
! [SV90: $i,SV55: $i] :
( ( ~ ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) )
| ( ord_less_int @ SV55 @ SV90 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(588,plain,
! [SV90: $i,SV55: $i] :
( ( ~ ( ord_less_int @ SV55 @ SV90 )
| ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(589,plain,
! [SV91: $i,SV56: $i] :
( ( ~ ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
| ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(590,plain,
! [SV91: $i,SV56: $i] :
( ( ~ ( ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
| ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(591,plain,
! [SV57: $i] :
( ( ( ~ ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int ) )
= $true )
| ( ( ord_less_int @ SV57 @ zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(592,plain,
! [SV57: $i] :
( ( ( ~ ( ord_less_int @ SV57 @ zero_zero_int ) )
= $true )
| ( ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(593,plain,
! [SV92: $i,SV58: $i] :
( ( ~ ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) )
| ( ord_less_int @ SV58 @ SV92 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(594,plain,
! [SV92: $i,SV58: $i] :
( ( ~ ( ord_less_int @ SV58 @ SV92 )
| ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(595,plain,
! [SV93: $i,SV59: $i] :
( ( ~ ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) )
| ( ord_less_int @ SV59 @ SV93 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(596,plain,
! [SV93: $i,SV59: $i] :
( ( ~ ( ord_less_int @ SV59 @ SV93 )
| ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(597,plain,
! [SV60: $i] :
( ( ( ~ ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int ) )
= $true )
| ( ( ord_less_int @ SV60 @ zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(598,plain,
! [SV60: $i] :
( ( ( ~ ( ord_less_int @ SV60 @ zero_zero_int ) )
= $true )
| ( ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(599,plain,
! [SV94: $i,SV61: $i] :
( ( ~ ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) )
| ( ord_less_int @ SV61 @ SV94 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(600,plain,
! [SV94: $i,SV61: $i] :
( ( ~ ( ord_less_int @ SV61 @ SV94 )
| ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(601,plain,
! [SV62: $i] :
( ( ( ~ ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int ) )
= $true )
| ( ( ord_less_int @ SV62 @ zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(602,plain,
! [SV62: $i] :
( ( ( ~ ( ord_less_int @ SV62 @ zero_zero_int ) )
= $true )
| ( ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(603,plain,
! [SV63: $i] :
( ( ( ( semiri1621563631at_int @ SV63 )
!= zero_zero_int )
= $true )
| ( ( SV63 = zero_zero_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(604,plain,
! [SV63: $i] :
( ( ( SV63 != zero_zero_nat )
= $true )
| ( ( ( semiri1621563631at_int @ SV63 )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(605,plain,
! [SV78: $i,SV30: $i] :
( ( ( ( number_number_of_nat @ SV30 )
!= SV78 )
= $true )
| ( ( SV78
= ( number_number_of_nat @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(606,plain,
! [SV30: $i,SV78: $i] :
( ( ( SV78
!= ( number_number_of_nat @ SV30 ) )
= $true )
| ( ( ( number_number_of_nat @ SV30 )
= SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(607,plain,
! [SV80: $i,SV32: $i] :
( ( ( ~ ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) ) )
= $true )
| ( ( ord_less_int @ SV32 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(608,plain,
! [SV80: $i,SV32: $i] :
( ( ( ~ ( ord_less_int @ SV32 @ SV80 ) )
= $true )
| ( ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(609,plain,
! [SV33: $i] :
( ( ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
= $false )
| ( ( SV33 = zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(610,plain,
! [SV33: $i] :
( ( ( SV33 = zero_zero_int )
= $false )
| ( ( ( power_power_int @ SV33 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(611,plain,
! [SV34: $i] :
( ( ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= $false )
| ( ( SV34 != zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(612,plain,
! [SV34: $i] :
( ( ( SV34 != zero_zero_int )
= $false )
| ( ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(613,plain,
! [SV81: $i,SV35: $i] :
( ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
!= zero_zero_int )
= $true )
| ( ( ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(614,plain,
! [SV81: $i,SV35: $i] :
( ( ( ~ ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) ) )
= $true )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(615,plain,
! [SV82: $i,SV37: $i] :
( ( ( ( bit1 @ SV37 )
!= ( bit1 @ SV82 ) )
= $true )
| ( ( SV37 = SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(616,plain,
! [SV82: $i,SV37: $i] :
( ( ( SV37 != SV82 )
= $true )
| ( ( ( bit1 @ SV37 )
= ( bit1 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(617,plain,
! [SV83: $i,SV39: $i] :
( ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
!= zero_zero_int )
= $true )
| ( ( ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(618,plain,
! [SV83: $i,SV39: $i] :
( ( ( ~ ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) ) )
= $true )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(619,plain,
! [SV40: $i] :
( ( ( ord_less_int @ ( bit0 @ SV40 ) @ pls )
= $false )
| ( ( ord_less_int @ SV40 @ pls )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(620,plain,
! [SV40: $i] :
( ( ( ord_less_int @ SV40 @ pls )
= $false )
| ( ( ord_less_int @ ( bit0 @ SV40 ) @ pls )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(621,plain,
! [SV41: $i] :
( ( ( ord_less_int @ pls @ ( bit0 @ SV41 ) )
= $false )
| ( ( ord_less_int @ pls @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(622,plain,
! [SV41: $i] :
( ( ( ord_less_int @ pls @ SV41 )
= $false )
| ( ( ord_less_int @ pls @ ( bit0 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(623,plain,
! [SV85: $i,SV43: $i] :
( ( ( ~ ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) ) )
= $true )
| ( ( ord_less_int @ SV43 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(624,plain,
! [SV85: $i,SV43: $i] :
( ( ( ~ ( ord_less_int @ SV43 @ SV85 ) )
= $true )
| ( ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(625,plain,
! [SV44: $i] :
( ( ( pls
= ( bit0 @ SV44 ) )
= $false )
| ( ( pls = SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(626,plain,
! [SV44: $i] :
( ( ( pls = SV44 )
= $false )
| ( ( pls
= ( bit0 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(627,plain,
! [SV86: $i,SV45: $i] :
( ( ( ( semiri1621563631at_int @ SV45 )
!= ( semiri1621563631at_int @ SV86 ) )
= $true )
| ( ( SV45 = SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(628,plain,
! [SV86: $i,SV45: $i] :
( ( ( SV45 != SV86 )
= $true )
| ( ( ( semiri1621563631at_int @ SV45 )
= ( semiri1621563631at_int @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(629,plain,
! [SV47: $i] :
( ( ( ( plus_plus_int @ SV47 @ SV47 )
= zero_zero_int )
= $false )
| ( ( SV47 = zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(630,plain,
! [SV47: $i] :
( ( ( SV47 = zero_zero_int )
= $false )
| ( ( ( plus_plus_int @ SV47 @ SV47 )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(631,plain,
! [SV48: $i] :
( ( ( ord_less_int @ ( bit1 @ SV48 ) @ pls )
= $false )
| ( ( ord_less_int @ SV48 @ pls )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(632,plain,
! [SV48: $i] :
( ( ( ord_less_int @ SV48 @ pls )
= $false )
| ( ( ord_less_int @ ( bit1 @ SV48 ) @ pls )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(633,plain,
! [SV87: $i,SV49: $i] :
( ( ( ( bit0 @ SV49 )
!= ( bit0 @ SV87 ) )
= $true )
| ( ( SV49 = SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(634,plain,
! [SV87: $i,SV49: $i] :
( ( ( SV49 != SV87 )
= $true )
| ( ( ( bit0 @ SV49 )
= ( bit0 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(635,plain,
! [SV89: $i,SV51: $i] :
( ( ( ~ ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) ) )
= $true )
| ( ( ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(636,plain,
! [SV89: $i,SV51: $i] :
( ( ( ~ ( ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) ) )
= $true )
| ( ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(637,plain,
! [SV52: $i] :
( ( ( ( bit0 @ SV52 )
= pls )
= $false )
| ( ( SV52 = pls )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(638,plain,
! [SV52: $i] :
( ( ( SV52 = pls )
= $false )
| ( ( ( bit0 @ SV52 )
= pls )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(639,plain,
! [SV53: $i] :
( ( ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int )
= $false )
| ( ( ord_less_int @ SV53 @ zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(640,plain,
! [SV53: $i] :
( ( ( ord_less_int @ SV53 @ zero_zero_int )
= $false )
| ( ( ord_less_int @ ( bit1 @ SV53 ) @ zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(641,plain,
! [SV54: $i] :
( ( ( ( number_number_of_nat @ SV54 )
= zero_zero_nat )
= $false )
| ( ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= one_one_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(642,plain,
! [SV54: $i] :
( ( ( ( number_number_of_nat @ SV54 )
!= zero_zero_nat )
= $false )
| ( ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(643,plain,
! [SV90: $i,SV55: $i] :
( ( ( ~ ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) ) )
= $true )
| ( ( ord_less_int @ SV55 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(644,plain,
! [SV90: $i,SV55: $i] :
( ( ( ~ ( ord_less_int @ SV55 @ SV90 ) )
= $true )
| ( ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(645,plain,
! [SV91: $i,SV56: $i] :
( ( ( ~ ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) )
= $true )
| ( ( ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(646,plain,
! [SV91: $i,SV56: $i] :
( ( ( ~ ( ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) ) )
= $true )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(647,plain,
! [SV57: $i] :
( ( ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int )
= $false )
| ( ( ord_less_int @ SV57 @ zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(648,plain,
! [SV57: $i] :
( ( ( ord_less_int @ SV57 @ zero_zero_int )
= $false )
| ( ( ord_less_int @ ( plus_plus_int @ ( plus_plus_int @ one_one_int @ SV57 ) @ SV57 ) @ zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(649,plain,
! [SV92: $i,SV58: $i] :
( ( ( ~ ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) ) )
= $true )
| ( ( ord_less_int @ SV58 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(650,plain,
! [SV92: $i,SV58: $i] :
( ( ( ~ ( ord_less_int @ SV58 @ SV92 ) )
= $true )
| ( ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(651,plain,
! [SV93: $i,SV59: $i] :
( ( ( ~ ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) ) )
= $true )
| ( ( ord_less_int @ SV59 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(652,plain,
! [SV93: $i,SV59: $i] :
( ( ( ~ ( ord_less_int @ SV59 @ SV93 ) )
= $true )
| ( ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(653,plain,
! [SV60: $i] :
( ( ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int )
= $false )
| ( ( ord_less_int @ SV60 @ zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(654,plain,
! [SV60: $i] :
( ( ( ord_less_int @ SV60 @ zero_zero_int )
= $false )
| ( ( ord_less_int @ ( bit0 @ SV60 ) @ zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(655,plain,
! [SV94: $i,SV61: $i] :
( ( ( ~ ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) ) )
= $true )
| ( ( ord_less_int @ SV61 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(656,plain,
! [SV94: $i,SV61: $i] :
( ( ( ~ ( ord_less_int @ SV61 @ SV94 ) )
= $true )
| ( ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(657,plain,
! [SV62: $i] :
( ( ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int )
= $false )
| ( ( ord_less_int @ SV62 @ zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(658,plain,
! [SV62: $i] :
( ( ( ord_less_int @ SV62 @ zero_zero_int )
= $false )
| ( ( ord_less_int @ ( plus_plus_int @ SV62 @ SV62 ) @ zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(659,plain,
! [SV63: $i] :
( ( ( ( semiri1621563631at_int @ SV63 )
= zero_zero_int )
= $false )
| ( ( SV63 = zero_zero_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(660,plain,
! [SV63: $i] :
( ( ( SV63 = zero_zero_nat )
= $false )
| ( ( ( semiri1621563631at_int @ SV63 )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(661,plain,
! [SV78: $i,SV30: $i] :
( ( ( ( number_number_of_nat @ SV30 )
= SV78 )
= $false )
| ( ( SV78
= ( number_number_of_nat @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(662,plain,
! [SV30: $i,SV78: $i] :
( ( ( SV78
= ( number_number_of_nat @ SV30 ) )
= $false )
| ( ( ( number_number_of_nat @ SV30 )
= SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(663,plain,
! [SV80: $i,SV32: $i] :
( ( ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) )
= $false )
| ( ( ord_less_int @ SV32 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(664,plain,
! [SV80: $i,SV32: $i] :
( ( ( ord_less_int @ SV32 @ SV80 )
= $false )
| ( ( ord_less_int @ ( bit1 @ SV32 ) @ ( bit1 @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(665,plain,
! [SV34: $i] :
( ( ( SV34 = zero_zero_int )
= $false )
| ( ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(666,plain,
! [SV34: $i] :
( ( ( SV34 = zero_zero_int )
= $true )
| ( ( ord_less_int @ zero_zero_int @ ( power_power_int @ SV34 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(667,plain,
! [SV81: $i,SV35: $i] :
( ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $false )
| ( ( ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(668,plain,
! [SV81: $i,SV35: $i] :
( ( ( ~ ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) ) )
= $false )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(669,plain,
! [SV82: $i,SV37: $i] :
( ( ( ( bit1 @ SV37 )
= ( bit1 @ SV82 ) )
= $false )
| ( ( SV37 = SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(670,plain,
! [SV82: $i,SV37: $i] :
( ( ( SV37 = SV82 )
= $false )
| ( ( ( bit1 @ SV37 )
= ( bit1 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(671,plain,
! [SV83: $i,SV39: $i] :
( ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $false )
| ( ( ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(672,plain,
! [SV83: $i,SV39: $i] :
( ( ( ~ ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) ) )
= $false )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(673,plain,
! [SV85: $i,SV43: $i] :
( ( ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) )
= $false )
| ( ( ord_less_int @ SV43 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(674,plain,
! [SV85: $i,SV43: $i] :
( ( ( ord_less_int @ SV43 @ SV85 )
= $false )
| ( ( ord_less_int @ ( bit0 @ SV43 ) @ ( bit0 @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(675,plain,
! [SV86: $i,SV45: $i] :
( ( ( ( semiri1621563631at_int @ SV45 )
= ( semiri1621563631at_int @ SV86 ) )
= $false )
| ( ( SV45 = SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(676,plain,
! [SV86: $i,SV45: $i] :
( ( ( SV45 = SV86 )
= $false )
| ( ( ( semiri1621563631at_int @ SV45 )
= ( semiri1621563631at_int @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(677,plain,
! [SV87: $i,SV49: $i] :
( ( ( ( bit0 @ SV49 )
= ( bit0 @ SV87 ) )
= $false )
| ( ( SV49 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(678,plain,
! [SV87: $i,SV49: $i] :
( ( ( SV49 = SV87 )
= $false )
| ( ( ( bit0 @ SV49 )
= ( bit0 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(679,plain,
! [SV89: $i,SV51: $i] :
( ( ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
= $false )
| ( ( ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(680,plain,
! [SV89: $i,SV51: $i] :
( ( ( ( ord_less_int @ SV51 @ SV89 )
| ( SV51 = SV89 ) )
= $false )
| ( ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(681,plain,
! [SV54: $i] :
( ( ( ( number_number_of_nat @ SV54 )
= zero_zero_nat )
= $true )
| ( ( ( power_power_int @ zero_zero_int @ ( number_number_of_nat @ SV54 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(682,plain,
! [SV90: $i,SV55: $i] :
( ( ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) )
= $false )
| ( ( ord_less_int @ SV55 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(683,plain,
! [SV90: $i,SV55: $i] :
( ( ( ord_less_int @ SV55 @ SV90 )
= $false )
| ( ( ord_less_int @ ( bit1 @ SV55 ) @ ( bit1 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(684,plain,
! [SV91: $i,SV56: $i] :
( ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $false )
| ( ( ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(685,plain,
! [SV91: $i,SV56: $i] :
( ( ( ( SV56 != zero_zero_int )
| ( SV91 != zero_zero_int ) )
= $false )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(686,plain,
! [SV92: $i,SV58: $i] :
( ( ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) )
= $false )
| ( ( ord_less_int @ SV58 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(687,plain,
! [SV92: $i,SV58: $i] :
( ( ( ord_less_int @ SV58 @ SV92 )
= $false )
| ( ( ord_less_int @ ( bit1 @ SV58 ) @ ( bit0 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(688,plain,
! [SV93: $i,SV59: $i] :
( ( ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) )
= $false )
| ( ( ord_less_int @ SV59 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(689,plain,
! [SV93: $i,SV59: $i] :
( ( ( ord_less_int @ SV59 @ SV93 )
= $false )
| ( ( ord_less_int @ ( bit0 @ SV59 ) @ ( bit0 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(690,plain,
! [SV94: $i,SV61: $i] :
( ( ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) )
= $false )
| ( ( ord_less_int @ SV61 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(691,plain,
! [SV94: $i,SV61: $i] :
( ( ( ord_less_int @ SV61 @ SV94 )
= $false )
| ( ( ord_less_int @ ( bit1 @ SV61 ) @ ( bit0 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(692,plain,
! [SV81: $i,SV35: $i] :
( ( ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) )
= $false )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(693,plain,
! [SV81: $i,SV35: $i] :
( ( ( ( SV35 != zero_zero_int )
| ( SV81 != zero_zero_int ) )
= $true )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(694,plain,
! [SV83: $i,SV39: $i] :
( ( ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
= $false )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(695,plain,
! [SV83: $i,SV39: $i] :
( ( ( ( SV39 != zero_zero_int )
| ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
= $true )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(696,plain,
! [SV89: $i,SV51: $i] :
( ( ( ord_less_int @ SV51 @ SV89 )
= $true )
| ( ( SV51 = SV89 )
= $true )
| ( ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(697,plain,
! [SV89: $i,SV51: $i] :
( ( ( ord_less_int @ SV51 @ SV89 )
= $false )
| ( ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(698,plain,
! [SV89: $i,SV51: $i] :
( ( ( SV51 = SV89 )
= $false )
| ( ( ord_less_int @ SV51 @ ( plus_plus_int @ SV89 @ one_one_int ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(699,plain,
! [SV91: $i,SV56: $i] :
( ( ( SV56 != zero_zero_int )
= $true )
| ( ( SV91 != zero_zero_int )
= $true )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(700,plain,
! [SV91: $i,SV56: $i] :
( ( ( SV56 != zero_zero_int )
= $false )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(701,plain,
! [SV56: $i,SV91: $i] :
( ( ( SV91 != zero_zero_int )
= $false )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[685]) ).
thf(702,plain,
! [SV81: $i,SV35: $i] :
( ( ( SV35 != zero_zero_int )
= $false )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(703,plain,
! [SV35: $i,SV81: $i] :
( ( ( SV81 != zero_zero_int )
= $false )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(704,plain,
! [SV81: $i,SV35: $i] :
( ( ( SV35 != zero_zero_int )
= $true )
| ( ( SV81 != zero_zero_int )
= $true )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(705,plain,
! [SV83: $i,SV39: $i] :
( ( ( SV39 != zero_zero_int )
= $false )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(706,plain,
! [SV39: $i,SV83: $i] :
( ( ( ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
= $false )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[694]) ).
thf(707,plain,
! [SV83: $i,SV39: $i] :
( ( ( SV39 != zero_zero_int )
= $true )
| ( ( ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
= $true )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(708,plain,
! [SV91: $i,SV56: $i] :
( ( ( SV56 = zero_zero_int )
= $false )
| ( ( SV91 != zero_zero_int )
= $true )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(709,plain,
! [SV91: $i,SV56: $i] :
( ( ( SV56 = zero_zero_int )
= $true )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(710,plain,
! [SV56: $i,SV91: $i] :
( ( ( SV91 = zero_zero_int )
= $true )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(711,plain,
! [SV81: $i,SV35: $i] :
( ( ( SV35 = zero_zero_int )
= $true )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(712,plain,
! [SV35: $i,SV81: $i] :
( ( ( SV81 = zero_zero_int )
= $true )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(713,plain,
! [SV81: $i,SV35: $i] :
( ( ( SV35 = zero_zero_int )
= $false )
| ( ( SV81 != zero_zero_int )
= $true )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(714,plain,
! [SV83: $i,SV39: $i] :
( ( ( SV39 = zero_zero_int )
= $true )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[705]) ).
thf(715,plain,
! [SV39: $i,SV83: $i] :
( ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat )
= $true )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(716,plain,
! [SV83: $i,SV39: $i] :
( ( ( SV39 = zero_zero_int )
= $false )
| ( ( ~ ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat ) ) )
= $true )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(717,plain,
! [SV56: $i,SV91: $i] :
( ( ( SV91 = zero_zero_int )
= $false )
| ( ( SV56 = zero_zero_int )
= $false )
| ( ( ord_less_int @ zero_zero_int @ ( plus_plus_int @ ( power_power_int @ SV56 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV91 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(718,plain,
! [SV35: $i,SV81: $i] :
( ( ( SV81 = zero_zero_int )
= $false )
| ( ( SV35 = zero_zero_int )
= $false )
| ( ( ( plus_plus_int @ ( power_power_int @ SV35 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) @ ( power_power_int @ SV81 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(719,plain,
! [SV39: $i,SV83: $i] :
( ( ( ( number_number_of_nat @ SV83 )
= zero_zero_nat )
= $false )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(720,plain,
! [SV39: $i,SV83: $i] :
( ( ( ( number_number_of_nat @ SV83 )
!= zero_zero_nat )
= $false )
| ( ( SV39 = zero_zero_int )
= $false )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(721,plain,
! [SV39: $i,SV83: $i] :
( ( ( ( number_number_of_nat @ SV83 )
= zero_zero_nat )
= $true )
| ( ( SV39 = zero_zero_int )
= $false )
| ( ( ( power_power_int @ SV39 @ ( number_number_of_nat @ SV83 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(722,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[199,721,719,718,717,714,712,711,710,709,698,697,696,691,690,689,688,687,686,683,682,681,678,677,676,675,674,673,670,669,666,665,664,663,662,661,660,659,658,657,654,653,648,647,641,640,639,638,637,632,631,630,629,626,625,622,621,620,619,610,609,566,470,447,445,444,443,442,424,416,414,407,406,405,404,403,402,400,399,398,395,393,392,391,364,353,352,351,345,344,343,342,341,339,338,336,332,326,325,324,271,270,269,268,260,259,248,231,230,229,222,220,219,218,213,211,210,207,206,202,201]) ).
thf(723,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM925+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 13:42:31 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/0.59
% 2.24/0.59 No.of.Axioms: 88
% 2.24/0.59
% 2.24/0.59 Length.of.Defs: 0
% 2.24/0.59
% 2.24/0.59 Contains.Choice.Funs: false
% 2.24/0.59 .................
% 2.24/0.59
% 2.24/0.59 ********************************
% 2.24/0.59 * All subproblems solved! *
% 2.24/0.59 ********************************
% 2.24/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:88,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:722,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.24/0.59
% 2.24/0.59 %**** Beginning of derivation protocol ****
% 2.24/0.59 % SZS output start CNFRefutation
% See solution above
% 2.24/0.59
% 2.24/0.59 %**** End of derivation protocol ****
% 2.24/0.59 %**** no. of clauses in derivation: 705 ****
% 2.24/0.59 %**** clause counter: 722 ****
% 2.24/0.59
% 2.24/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:88,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:722,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------