%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP097^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 10:24:05 AM UTC 2026
% Result : Theorem 37.27s 6.47s
% Output : CNFRefutation 37.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 181
% Syntax : Number of formulae : 2891 (1019 unt; 0 typ; 0 def)
% Number of atoms : 19020 (9112 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 25923 (4315 ~;4445 |; 18 &;17040 @)
% ( 0 <=>; 105 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 134 ( 134 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 50 usr; 11 con; 0-3 aty)
% Number of variables : 5066 ( 35 ^;5016 !; 15 ?;5066 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_int,type,
int: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_num,type,
num: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_set_real,type,
set_real: $tType ).
thf(tp_archim1371465213g_real,type,
archim1371465213g_real: real > int ).
thf(tp_bit0,type,
bit0: num > num ).
thf(tp_collect_real,type,
collect_real: ( real > $o ) > set_real ).
thf(tp_d,type,
d: int ).
thf(tp_if_nat,type,
if_nat: $o > nat > nat > nat ).
thf(tp_log,type,
log: real > real > real ).
thf(tp_member_real,type,
member_real: real > set_real > $o ).
thf(tp_n,type,
n: nat ).
thf(tp_nat2,type,
nat2: int > nat ).
thf(tp_neg_numeral_dbl_int,type,
neg_numeral_dbl_int: int > int ).
thf(tp_neg_numeral_dbl_real,type,
neg_numeral_dbl_real: real > real ).
thf(tp_numeral_numeral_int,type,
numeral_numeral_int: num > int ).
thf(tp_numeral_numeral_nat,type,
numeral_numeral_nat: num > nat ).
thf(tp_numeral_numeral_real,type,
numeral_numeral_real: num > real ).
thf(tp_one,type,
one: num ).
thf(tp_one_one_int,type,
one_one_int: int ).
thf(tp_one_one_nat,type,
one_one_nat: nat ).
thf(tp_one_one_real,type,
one_one_real: real ).
thf(tp_ord_less_eq_int,type,
ord_less_eq_int: int > int > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_num,type,
ord_less_eq_num: num > num > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(tp_pow,type,
pow: num > num > num ).
thf(tp_power_power_int,type,
power_power_int: int > nat > int ).
thf(tp_power_power_nat,type,
power_power_nat: nat > nat > nat ).
thf(tp_power_power_real,type,
power_power_real: real > nat > real ).
thf(tp_powr_real,type,
powr_real: real > real > real ).
thf(tp_ring_1_of_int_int,type,
ring_1_of_int_int: int > int ).
thf(tp_ring_1_of_int_real,type,
ring_1_of_int_real: int > real ).
thf(tp_sK10_SY420,type,
sK10_SY420: nat > ( nat > $o ) > nat ).
thf(tp_sK11_SY421,type,
sK11_SY421: nat > ( nat > $o ) > int ).
thf(tp_sK12_SY420,type,
sK12_SY420: int > ( nat > $o ) > nat ).
thf(tp_sK13_SY421,type,
sK13_SY421: int > ( nat > $o ) > int ).
thf(tp_sK1_SY384,type,
sK1_SY384: real > int ).
thf(tp_sK2_SY371,type,
sK2_SY371: int > nat ).
thf(tp_sK3_SY377,type,
sK3_SY377: int > nat ).
thf(tp_sK4_SY381,type,
sK4_SY381: nat > nat > ( nat > int ) > nat ).
thf(tp_sK5_SY389,type,
sK5_SY389: nat > nat > ( nat > int ) > nat ).
thf(tp_sK6_SY418,type,
sK6_SY418: ( nat > $o ) > nat ).
thf(tp_sK7_SY419,type,
sK7_SY419: ( nat > $o ) > int ).
thf(tp_sK8_SY386,type,
sK8_SY386: real > int ).
thf(tp_sK9_SY386,type,
sK9_SY386: int > real > int ).
thf(tp_semiri1382578993at_nat,type,
semiri1382578993at_nat: nat > nat ).
thf(tp_semiri2019852685at_int,type,
semiri2019852685at_int: nat > int ).
thf(tp_semiri2110766477t_real,type,
semiri2110766477t_real: nat > real ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_zero_zero_int,type,
zero_zero_int: int ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(tp_zero_zero_real,type,
zero_zero_real: real ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Nat__Onat_T) ).
thf(4,axiom,
! [X: int,N: nat] :
( ( ord_less_eq_nat @ ( nat2 @ X ) @ N )
= ( ord_less_eq_int @ X @ ( semiri2019852685at_int @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_349_nat__le__iff) ).
thf(5,axiom,
! [X: num] :
( ( pow @ X @ one )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_pow_Osimps_I1_J) ).
thf(8,axiom,
! [Z: int,Z5: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( ord_less_eq_int @ zero_zero_int @ Z5 )
=> ( ( ( nat2 @ Z )
= ( nat2 @ Z5 ) )
= ( Z = Z5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_345_eq__nat__nat__iff) ).
thf(9,axiom,
( ( ^ [P2: nat > $o] :
! [X6: nat] : ( P2 @ X6 ) )
= ( ^ [P3: nat > $o] :
! [X3: int] :
( ( ord_less_eq_int @ zero_zero_int @ X3 )
=> ( P3 @ ( nat2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_344_all__nat) ).
thf(10,axiom,
( ( ^ [P2: nat > $o] :
? [X6: nat] : ( P2 @ X6 ) )
= ( ^ [P3: nat > $o] :
? [X3: int] :
( ( ord_less_eq_int @ zero_zero_int @ X3 )
& ( P3 @ ( nat2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_343_ex__nat) ).
thf(11,axiom,
! [N: num] :
( ( semiri2019852685at_int @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_int @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_342_int__ops_I3_J) ).
thf(12,axiom,
! [M: nat,N: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ ( semiri2019852685at_int @ N ) )
= ( ord_less_eq_nat @ M @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_zle__int) ).
thf(13,axiom,
( ord_less_eq_nat
= ( ^ [A3: nat,B2: nat] : ( ord_less_eq_int @ ( semiri2019852685at_int @ A3 ) @ ( semiri2019852685at_int @ B2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_nat__int__comparison_I3_J) ).
thf(14,axiom,
! [K: int,N: nat] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ( ( ord_less_eq_nat @ N @ ( nat2 @ K ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ N ) @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_le__nat__iff) ).
thf(15,axiom,
ord_less_eq_int @ zero_zero_int @ zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_338_less__eq__int__code_I1_J) ).
thf(37,axiom,
! [A: int,N: nat] :
( ( A != zero_zero_int )
=> ( ( power_power_int @ A @ N )
!= zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_316_power__not__zero) ).
thf(39,axiom,
! [N: num] :
( zero_zero_real
!= ( numeral_numeral_real @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_314_zero__neq__numeral) ).
thf(40,axiom,
! [N: num] :
( zero_zero_int
!= ( numeral_numeral_int @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_313_zero__neq__numeral) ).
thf(43,axiom,
ord_less_eq_int @ zero_zero_int @ zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_310_le__numeral__extra_I3_J) ).
thf(45,axiom,
! [M: nat,Z: int] :
( ( ( semiri2019852685at_int @ M )
= Z )
= ( ( M
= ( nat2 @ Z ) )
& ( ord_less_eq_int @ zero_zero_int @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_int__eq__iff) ).
thf(46,axiom,
! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_307_nat__0__le) ).
thf(49,axiom,
! [N: nat] :
( ( ( N = zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ N )
= one_one_int ) )
& ( ( N != zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ N )
= zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_304_power__0__left) ).
thf(50,axiom,
( zero_zero_nat
= ( nat2 @ zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_303_nat__zero__as__int) ).
thf(55,axiom,
! [W: int,M: nat] :
( ( ( nat2 @ W )
= M )
= ( ( ( ord_less_eq_int @ zero_zero_int @ W )
=> ( W
= ( semiri2019852685at_int @ M ) ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ W )
=> ( M = zero_zero_nat ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_nat__eq__iff) ).
thf(56,axiom,
! [M: nat,W: int] :
( ( M
= ( nat2 @ W ) )
= ( ( ( ord_less_eq_int @ zero_zero_int @ W )
=> ( W
= ( semiri2019852685at_int @ M ) ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ W )
=> ( M = zero_zero_nat ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_nat__eq__iff2) ).
thf(58,axiom,
! [K: int] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ~ ! [N3: nat] :
( K
!= ( semiri2019852685at_int @ N3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_nonneg__int__cases) ).
thf(59,axiom,
! [K: int] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ? [N3: nat] :
( K
= ( semiri2019852685at_int @ N3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_zero__le__imp__eq__int) ).
thf(64,axiom,
! [A: int] :
( ( ord_less_eq_int @ ( power_power_int @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= ( A = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_power2__less__eq__zero__iff) ).
thf(65,axiom,
! [A: real] :
( ( ( power_power_real @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= ( A = zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_zero__eq__power2) ).
thf(66,axiom,
! [A: nat] :
( ( ( power_power_nat @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= ( A = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_zero__eq__power2) ).
thf(67,axiom,
! [A: int] :
( ( ( power_power_int @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= ( A = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_286_zero__eq__power2) ).
thf(68,axiom,
! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= ( ring_1_of_int_int @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_285_of__nat__nat) ).
thf(69,axiom,
! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2110766477t_real @ ( nat2 @ Z ) )
= ( ring_1_of_int_real @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_of__nat__nat) ).
thf(72,axiom,
! [X: real] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ zero_zero_int )
= ( ord_less_eq_real @ X @ zero_zero_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_281_ceiling__le__zero) ).
thf(73,axiom,
! [Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ zero_zero_real )
= ( ord_less_eq_int @ Z @ zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_280_of__int__le__0__iff) ).
thf(74,axiom,
! [Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ zero_zero_int )
= ( ord_less_eq_int @ Z @ zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_279_of__int__le__0__iff) ).
thf(75,axiom,
! [Z: int] :
( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ zero_zero_int @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_278_of__int__0__le__iff) ).
thf(76,axiom,
! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ zero_zero_int @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_of__int__0__le__iff) ).
thf(77,axiom,
! [K: num] :
( ( neg_numeral_dbl_real @ ( numeral_numeral_real @ K ) )
= ( numeral_numeral_real @ ( bit0 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_276_dbl__simps_I5_J) ).
thf(78,axiom,
! [K: num] :
( ( neg_numeral_dbl_int @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_int @ ( bit0 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_dbl__simps_I5_J) ).
thf(79,axiom,
! [Z: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= Z ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= zero_zero_int ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_274_int__nat__eq) ).
thf(80,axiom,
! [A: real] :
( ( log @ A @ one_one_real )
= zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_273_log__one) ).
thf(81,axiom,
! [M: nat,V: num] :
( ( ( semiri2019852685at_int @ M )
= ( numeral_numeral_int @ V ) )
= ( M
= ( numeral_numeral_nat @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_272_int__eq__iff__numeral) ).
thf(82,axiom,
( ( nat2 @ one_one_int )
= ( suc @ zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_271_nat__1) ).
thf(87,axiom,
! [K: num] :
( ( power_power_int @ zero_zero_int @ ( numeral_numeral_nat @ K ) )
= zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_power__zero__numeral) ).
thf(90,axiom,
! [N: nat] :
( ( power_power_int @ zero_zero_int @ ( suc @ N ) )
= zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_263_power__0__Suc) ).
thf(93,axiom,
! [M: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ zero_zero_int )
= ( M = zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_of__nat__le__0__iff) ).
thf(96,axiom,
! [N: nat] :
( ( nat2 @ ( semiri2019852685at_int @ N ) )
= N ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_257_nat__int) ).
thf(99,axiom,
! [I2: int] :
( ( ( nat2 @ I2 )
= zero_zero_nat )
= ( ord_less_eq_int @ I2 @ zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_nat__0__iff) ).
thf(100,axiom,
! [Z: int] :
( ( ord_less_eq_int @ Z @ zero_zero_int )
=> ( ( nat2 @ Z )
= zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_nat__le__0) ).
thf(101,axiom,
( ( archim1371465213g_real @ zero_zero_real )
= zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_ceiling__zero) ).
thf(105,axiom,
! [Z: int] :
( ( ( ring_1_of_int_real @ Z )
= zero_zero_real )
= ( Z = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_of__int__eq__0__iff) ).
thf(107,axiom,
! [Z: int] :
( ( zero_zero_real
= ( ring_1_of_int_real @ Z ) )
= ( Z = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_of__int__0__eq__iff) ).
thf(109,axiom,
( ( ring_1_of_int_real @ zero_zero_int )
= zero_zero_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_of__int__0) ).
thf(112,axiom,
! [A: int] :
( ( power_power_int @ A @ ( suc @ zero_zero_nat ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_power__Suc0__right) ).
thf(123,axiom,
ord_less_int @ zero_zero_int @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_d_I2_J) ).
thf(128,axiom,
! [X: int,Y: int] :
( ( ord_less_eq_int @ zero_zero_int @ X )
=> ( ( ord_less_eq_int @ zero_zero_int @ Y )
=> ( ( ( power_power_int @ X @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ Y @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( X = Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_225_power2__eq__iff__nonneg) ).
thf(133,axiom,
! [X: int] : ( ord_less_eq_int @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_order__refl) ).
thf(135,axiom,
! [K: num,L: num] :
( ( power_power_real @ ( numeral_numeral_real @ K ) @ ( numeral_numeral_nat @ L ) )
= ( numeral_numeral_real @ ( pow @ K @ L ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_power__numeral) ).
thf(136,axiom,
! [K: num,L: num] :
( ( power_power_int @ ( numeral_numeral_int @ K ) @ ( numeral_numeral_nat @ L ) )
= ( numeral_numeral_int @ ( pow @ K @ L ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_power__numeral) ).
thf(137,axiom,
( ( neg_numeral_dbl_real @ one_one_real )
= ( numeral_numeral_real @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_dbl__simps_I3_J) ).
thf(138,axiom,
( ( neg_numeral_dbl_int @ one_one_int )
= ( numeral_numeral_int @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_dbl__simps_I3_J) ).
thf(139,axiom,
( ( power_power_real @ one_one_real @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_one__power2) ).
thf(140,axiom,
( ( power_power_nat @ one_one_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_one__power2) ).
thf(141,axiom,
( ( power_power_int @ one_one_int @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_one__power2) ).
thf(144,axiom,
! [N: nat,N5: nat,A: int] :
( ( ord_less_eq_nat @ N @ N5 )
=> ( ( ord_less_eq_int @ one_one_int @ A )
=> ( ord_less_eq_int @ ( power_power_int @ A @ N ) @ ( power_power_int @ A @ N5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_power__increasing) ).
thf(149,axiom,
! [F: nat > int,N: nat,N4: nat] :
( ! [N3: nat] : ( ord_less_eq_int @ ( F @ N3 ) @ ( F @ ( suc @ N3 ) ) )
=> ( ( ord_less_eq_nat @ N @ N4 )
=> ( ord_less_eq_int @ ( F @ N ) @ ( F @ N4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_lift__Suc__mono__le) ).
thf(153,axiom,
! [F: nat > int,N: nat,N4: nat] :
( ! [N3: nat] : ( ord_less_eq_int @ ( F @ ( suc @ N3 ) ) @ ( F @ N3 ) )
=> ( ( ord_less_eq_nat @ N @ N4 )
=> ( ord_less_eq_int @ ( F @ N4 ) @ ( F @ N ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_lift__Suc__antimono__le) ).
thf(156,axiom,
! [A: int,N: nat] :
( ( ord_less_eq_int @ one_one_int @ A )
=> ( ord_less_eq_int @ one_one_int @ ( power_power_int @ A @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_197_one__le__power) ).
thf(168,axiom,
! [M: nat,N: nat] :
( ( M
= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N ) )
=> ( ( semiri2110766477t_real @ N )
= ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ M ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_185_log2__of__power__eq) ).
thf(170,axiom,
! [X: real] : ( ord_less_eq_real @ X @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_real__nat__ceiling__ge) ).
thf(179,axiom,
! [R: real] : ( ord_less_eq_real @ R @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_174_of__nat__ceiling) ).
thf(180,axiom,
( ( numeral_numeral_nat @ one )
= one_one_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_173_numerals_I1_J) ).
thf(183,axiom,
! [I2: nat,J: nat] :
( ( ord_less_eq_nat @ I2 @ J )
=> ( ord_less_eq_int @ ( semiri2019852685at_int @ I2 ) @ ( semiri2019852685at_int @ J ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_170_of__nat__mono) ).
thf(185,axiom,
( one_one_nat
= ( nat2 @ one_one_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_168_nat__one__as__int) ).
thf(192,axiom,
! [X: real,A: nat] :
( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ X ) ) @ A )
= ( ord_less_eq_real @ X @ ( semiri2110766477t_real @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_161_nat__ceiling__le__eq) ).
thf(194,axiom,
! [X: num,N: nat,Y: nat] :
( ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= ( semiri2019852685at_int @ Y ) )
= ( ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_numeral__power__eq__of__nat__cancel__iff) ).
thf(197,axiom,
! [Y: nat,X: num,N: nat] :
( ( ( semiri2019852685at_int @ Y )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( Y
= ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_real__of__nat__eq__numeral__power__cancel__iff) ).
thf(202,axiom,
! [B: nat,W: nat,X: nat] :
( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) @ ( semiri2019852685at_int @ X ) )
= ( ord_less_eq_nat @ ( power_power_nat @ B @ W ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_of__nat__le__of__nat__power__cancel__iff) ).
thf(205,axiom,
! [X: nat,B: nat,W: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ X ) @ ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) )
= ( ord_less_eq_nat @ X @ ( power_power_nat @ B @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_of__nat__power__le__of__nat__cancel__iff) ).
thf(206,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_Suc__1) ).
thf(207,axiom,
! [M: nat,N: nat] :
( ( semiri2019852685at_int @ ( power_power_nat @ M @ N ) )
= ( power_power_int @ ( semiri2019852685at_int @ M ) @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_of__nat__power) ).
thf(210,axiom,
! [B: nat,W: nat,X: nat] :
( ( ( power_power_int @ ( semiri2019852685at_int @ B ) @ W )
= ( semiri2019852685at_int @ X ) )
= ( ( power_power_nat @ B @ W )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_of__nat__eq__of__nat__power__cancel__iff) ).
thf(213,axiom,
! [X: nat,B: nat,W: nat] :
( ( ( semiri2019852685at_int @ X )
= ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) )
= ( X
= ( power_power_nat @ B @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_of__nat__power__eq__of__nat__cancel__iff) ).
thf(216,axiom,
! [N: num] :
( ( semiri2019852685at_int @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_int @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_of__nat__numeral) ).
thf(217,axiom,
! [N: num] :
( ( semiri2110766477t_real @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_real @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_of__nat__numeral) ).
thf(221,axiom,
! [M: nat,N: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ ( semiri2019852685at_int @ N ) )
= ( ord_less_eq_nat @ M @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_132_of__nat__le__iff) ).
thf(222,axiom,
! [N: nat] :
( ( archim1371465213g_real @ ( semiri2110766477t_real @ N ) )
= ( semiri2019852685at_int @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_131_ceiling__of__nat) ).
thf(224,axiom,
! [N: nat] :
( ( ring_1_of_int_real @ ( semiri2019852685at_int @ N ) )
= ( semiri2110766477t_real @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_129_of__int__of__nat__eq) ).
thf(236,axiom,
! [N: nat] :
( ( power_power_int @ one_one_int @ N )
= one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_117_power__one) ).
thf(243,axiom,
! [A: int] :
( ( power_power_int @ A @ one_one_nat )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_110_power__one__right) ).
thf(245,axiom,
! [M: nat,N: nat] :
( ( ord_less_eq_nat @ ( power_power_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ N )
=> ( ord_less_eq_nat @ M @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_108_power2__nat__le__imp__le) ).
thf(246,axiom,
! [M: nat,N: nat] :
( ( ord_less_eq_nat @ ( power_power_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ N @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( ord_less_eq_nat @ M @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_power2__nat__le__eq__le) ).
thf(247,axiom,
! [K: nat,M: nat] :
( ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ K )
=> ( ord_less_eq_nat @ M @ ( power_power_nat @ K @ M ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_self__le__ge2__pow) ).
thf(249,axiom,
! [M: num,N: num] :
( ( powr_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_real @ N ) )
= ( power_power_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_nat @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_numeral__powr__numeral__real) ).
thf(250,axiom,
ord_less_eq_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103__092_060open_0622_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_A_092_060le_062_A2_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062) ).
thf(251,axiom,
( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= ( ring_1_of_int_real @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102__092_060open_0622_Apowr_Areal_A_Inat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_A_061_Areal__of__int_A_I2_A_094_Anat_A_092_060lceil_062log_A2_A_Ireal__of__int_Ad_J_092_060rceil_062_J_092_060close_062) ).
thf(252,axiom,
( numeral_numeral_nat
= ( ^ [I: num] : ( nat2 @ ( numeral_numeral_int @ I ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_nat__numeral__as__int) ).
thf(253,axiom,
! [X2: num] :
( one
!= ( bit0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_verit__eq__simplify_I10_J) ).
thf(254,axiom,
! [A: int,X: int] :
( ( ord_less_eq_int @ A @ X )
| ( A = X )
| ( ord_less_eq_int @ X @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_verit__la__generic) ).
thf(255,axiom,
! [N: nat] : ( ord_less_eq_real @ one_one_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_two__realpow__ge__one) ).
thf(256,axiom,
! [X: num] :
( ( ord_less_eq_num @ X @ one )
= ( X = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_le__num__One__iff) ).
thf(260,axiom,
! [A: int,B: int] :
( ( A = B )
| ~ ( ord_less_eq_int @ A @ B )
| ~ ( ord_less_eq_int @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_verit__la__disequality) ).
thf(261,axiom,
( ( numeral_numeral_nat @ one )
= one_one_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_numeral__One) ).
thf(262,axiom,
( ( numeral_numeral_real @ one )
= one_one_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_numeral__One) ).
thf(263,axiom,
( ( numeral_numeral_int @ one )
= one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_numeral__One) ).
thf(264,axiom,
! [N: num] : ( ord_less_eq_real @ one_one_real @ ( numeral_numeral_real @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_one__le__numeral) ).
thf(266,axiom,
! [N: num] : ( ord_less_eq_int @ one_one_int @ ( numeral_numeral_int @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_one__le__numeral) ).
thf(269,axiom,
ord_less_eq_int @ one_one_int @ one_one_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_le__numeral__extra_I4_J) ).
thf(271,axiom,
! [N: num] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ N ) @ one_one_real )
= ( ord_less_eq_num @ N @ one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_82_numeral__le__one__iff) ).
thf(273,axiom,
! [N: num] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ one_one_int )
= ( ord_less_eq_num @ N @ one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_numeral__le__one__iff) ).
thf(274,axiom,
! [X: real] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ one_one_int )
= ( ord_less_eq_real @ X @ one_one_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_ceiling__le__one) ).
thf(275,axiom,
! [Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ one_one_real )
= ( ord_less_eq_int @ Z @ one_one_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_of__int__le__1__iff) ).
thf(276,axiom,
! [Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ one_one_int )
= ( ord_less_eq_int @ Z @ one_one_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_of__int__le__1__iff) ).
thf(277,axiom,
! [Z: int] :
( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ one_one_int @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_of__int__1__le__iff) ).
thf(278,axiom,
! [Z: int] :
( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ one_one_int @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_of__int__1__le__iff) ).
thf(279,axiom,
! [N: num] :
( ( one_one_nat
= ( numeral_numeral_nat @ N ) )
= ( one = N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_one__eq__numeral__iff) ).
thf(280,axiom,
! [N: num] :
( ( one_one_real
= ( numeral_numeral_real @ N ) )
= ( one = N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_one__eq__numeral__iff) ).
thf(281,axiom,
! [N: num] :
( ( one_one_int
= ( numeral_numeral_int @ N ) )
= ( one = N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_one__eq__numeral__iff) ).
thf(282,axiom,
! [N: num] :
( ( ( numeral_numeral_nat @ N )
= one_one_nat )
= ( N = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_numeral__eq__one__iff) ).
thf(283,axiom,
! [N: num] :
( ( ( numeral_numeral_real @ N )
= one_one_real )
= ( N = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_numeral__eq__one__iff) ).
thf(284,axiom,
! [N: num] :
( ( ( numeral_numeral_int @ N )
= one_one_int )
= ( N = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_numeral__eq__one__iff) ).
thf(285,axiom,
( ( archim1371465213g_real @ one_one_real )
= one_one_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_ceiling__one) ).
thf(287,axiom,
( ( ring_1_of_int_real @ one_one_int )
= one_one_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_of__int__1) ).
thf(291,axiom,
! [Z: int] :
( ( ( ring_1_of_int_real @ Z )
= one_one_real )
= ( Z = one_one_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_of__int__eq__1__iff) ).
thf(293,axiom,
! [M: num,N: num] :
( ( ( numeral_numeral_real @ M )
= ( numeral_numeral_real @ N ) )
= ( M = N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_numeral__eq__iff) ).
thf(294,axiom,
! [M: num,N: num] :
( ( ( numeral_numeral_int @ M )
= ( numeral_numeral_int @ N ) )
= ( M = N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_59_numeral__eq__iff) ).
thf(295,axiom,
! [X2: num,Y2: num] :
( ( ( bit0 @ X2 )
= ( bit0 @ Y2 ) )
= ( X2 = Y2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_verit__eq__simplify_I8_J) ).
thf(296,axiom,
! [M: num,N: num] :
( ( ( bit0 @ M )
= ( bit0 @ N ) )
= ( M = N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_57_semiring__norm_I87_J) ).
thf(297,axiom,
! [M: num,N: num] :
( ( ord_less_eq_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
= ( ord_less_eq_num @ M @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_semiring__norm_I71_J) ).
thf(298,axiom,
! [N: num] : ( ord_less_eq_num @ one @ N ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_semiring__norm_I68_J) ).
thf(299,axiom,
( n
= ( suc @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_n__def) ).
thf(300,axiom,
( ( ring_1_of_int_real @ d )
= ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53__092_060open_062real__of__int_Ad_A_061_A2_Apowr_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062) ).
thf(301,axiom,
! [M: num,N: num] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_real @ N ) )
= ( ord_less_eq_num @ M @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_numeral__le__iff) ).
thf(303,axiom,
! [M: num,N: num] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ M ) @ ( numeral_numeral_int @ N ) )
= ( ord_less_eq_num @ M @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_numeral__le__iff) ).
thf(304,axiom,
! [M: num] :
( ( bit0 @ M )
!= one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_semiring__norm_I85_J) ).
thf(305,axiom,
! [N: num] :
( one
!= ( bit0 @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_semiring__norm_I83_J) ).
thf(306,axiom,
! [M: num] :
~ ( ord_less_eq_num @ ( bit0 @ M ) @ one ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_semiring__norm_I69_J) ).
thf(307,axiom,
ord_less_eq_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ one_one_real ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46__092_060open_062log_A2_A1_A_092_060le_062_Alog_A2_A_Ireal__of__int_Ad_J_092_060close_062) ).
thf(308,axiom,
! [X: real,A: int] :
( ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ A ) )
=> ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_ceiling__le) ).
thf(309,axiom,
! [X: real,Z: int] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ Z )
= ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_ceiling__le__iff) ).
thf(310,axiom,
! [Y: real,X: real] :
( ( ord_less_eq_real @ Y @ X )
=> ( ord_less_eq_int @ ( archim1371465213g_real @ Y ) @ ( archim1371465213g_real @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_ceiling__mono) ).
thf(311,axiom,
! [X: real] : ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ ( archim1371465213g_real @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_le__of__int__ceiling) ).
thf(312,axiom,
! [X: real] :
? [Z2: int] : ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ Z2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_ex__le__of__int) ).
thf(313,axiom,
! [X: int,Y: int] :
( ( ord_less_eq_int @ X @ Y )
=> ( ord_less_eq_nat @ ( nat2 @ X ) @ ( nat2 @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_nat__mono) ).
thf(314,axiom,
! [A: int,X: num,N: nat] :
( ( ord_less_eq_nat @ ( nat2 @ A ) @ ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_nat__le__numeral__power__cancel__iff) ).
thf(315,axiom,
! [X: num,N: nat,A: int] :
( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) @ ( nat2 @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_numeral__power__le__nat__cancel__iff) ).
thf(316,axiom,
! [Y: int,X: num,N: nat] :
( ( ( nat2 @ Y )
= ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_nat__eq__numeral__power__cancel__iff) ).
thf(317,axiom,
! [X: num,N: nat,Y: int] :
( ( ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N )
= ( nat2 @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_numeral__power__eq__nat__cancel__iff) ).
thf(318,axiom,
! [X: int,B: int,W: nat] :
( ( ( ring_1_of_int_real @ X )
= ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) )
= ( X
= ( power_power_int @ B @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_of__int__power__eq__of__int__cancel__iff) ).
thf(319,axiom,
! [X: int,B: int,W: nat] :
( ( ( ring_1_of_int_int @ X )
= ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) )
= ( X
= ( power_power_int @ B @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_of__int__power__eq__of__int__cancel__iff) ).
thf(320,axiom,
! [V: num] :
( ( archim1371465213g_real @ ( numeral_numeral_real @ V ) )
= ( numeral_numeral_int @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_ceiling__numeral) ).
thf(321,axiom,
! [Z: int,N: num] :
( ( ( ring_1_of_int_real @ Z )
= ( numeral_numeral_real @ N ) )
= ( Z
= ( numeral_numeral_int @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_of__int__eq__numeral__iff) ).
thf(322,axiom,
! [Z: int,N: num] :
( ( ( ring_1_of_int_int @ Z )
= ( numeral_numeral_int @ N ) )
= ( Z
= ( numeral_numeral_int @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_of__int__eq__numeral__iff) ).
thf(323,axiom,
! [K: num] :
( ( ring_1_of_int_real @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_real @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_of__int__numeral) ).
thf(324,axiom,
! [K: num] :
( ( ring_1_of_int_int @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_int @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_of__int__numeral) ).
thf(325,axiom,
! [W: int,Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ W ) @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ W @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_of__int__le__iff) ).
thf(326,axiom,
! [W: int,Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ W ) @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ W @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_of__int__le__iff) ).
thf(327,axiom,
! [X: real] :
( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ X ) )
= X )
= ( ? [N2: int] :
( X
= ( ring_1_of_int_real @ N2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_of__int__ceiling__cancel) ).
thf(328,axiom,
! [Z: int] :
( ( archim1371465213g_real @ ( ring_1_of_int_real @ Z ) )
= Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_ceiling__of__int) ).
thf(329,axiom,
! [K: num] :
( ( nat2 @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_nat @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_nat__numeral) ).
thf(331,axiom,
! [W: int,Z: int] :
( ( ( ring_1_of_int_real @ W )
= ( ring_1_of_int_real @ Z ) )
= ( W = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_of__int__eq__iff) ).
thf(332,axiom,
! [B: int,W: nat,X: int] :
( ( ( power_power_real @ ( ring_1_of_int_real @ B ) @ W )
= ( ring_1_of_int_real @ X ) )
= ( ( power_power_int @ B @ W )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_of__int__eq__of__int__power__cancel__iff) ).
thf(333,axiom,
! [B: int,W: nat,X: int] :
( ( ( power_power_int @ ( ring_1_of_int_int @ B ) @ W )
= ( ring_1_of_int_int @ X ) )
= ( ( power_power_int @ B @ W )
= X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_of__int__eq__of__int__power__cancel__iff) ).
thf(334,axiom,
! [Z: int,N: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ Z @ N ) )
= ( power_power_real @ ( ring_1_of_int_real @ Z ) @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_of__int__power) ).
thf(335,axiom,
! [Z: int,N: nat] :
( ( ring_1_of_int_int @ ( power_power_int @ Z @ N ) )
= ( power_power_int @ ( ring_1_of_int_int @ Z ) @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_of__int__power) ).
thf(336,axiom,
! [N: num,Z: int] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ N ) @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_of__int__numeral__le__iff) ).
thf(337,axiom,
! [N: num,Z: int] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_of__int__numeral__le__iff) ).
thf(338,axiom,
! [Z: int,N: num] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ ( numeral_numeral_real @ N ) )
= ( ord_less_eq_int @ Z @ ( numeral_numeral_int @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_of__int__le__numeral__iff) ).
thf(339,axiom,
! [Z: int,N: num] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ ( numeral_numeral_int @ N ) )
= ( ord_less_eq_int @ Z @ ( numeral_numeral_int @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_of__int__le__numeral__iff) ).
thf(340,axiom,
! [X: real,V: num] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ ( numeral_numeral_int @ V ) )
= ( ord_less_eq_real @ X @ ( numeral_numeral_real @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_ceiling__le__numeral) ).
thf(341,axiom,
! [X: int,B: int,W: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ X ) @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) )
= ( ord_less_eq_int @ X @ ( power_power_int @ B @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_of__int__power__le__of__int__cancel__iff) ).
thf(342,axiom,
! [X: int,B: int,W: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ X ) @ ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) )
= ( ord_less_eq_int @ X @ ( power_power_int @ B @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_of__int__power__le__of__int__cancel__iff) ).
thf(343,axiom,
! [B: int,W: nat,X: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) @ ( ring_1_of_int_real @ X ) )
= ( ord_less_eq_int @ ( power_power_int @ B @ W ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_of__int__le__of__int__power__cancel__iff) ).
thf(344,axiom,
! [B: int,W: nat,X: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) @ ( ring_1_of_int_int @ X ) )
= ( ord_less_eq_int @ ( power_power_int @ B @ W ) @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_of__int__le__of__int__power__cancel__iff) ).
thf(345,axiom,
! [Y: int,X: num,N: nat] :
( ( ( ring_1_of_int_real @ Y )
= ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_of__int__eq__numeral__power__cancel__iff) ).
thf(346,axiom,
! [Y: int,X: num,N: nat] :
( ( ( ring_1_of_int_int @ Y )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_of__int__eq__numeral__power__cancel__iff) ).
thf(347,axiom,
! [X: num,N: nat,Y: int] :
( ( ( power_power_real @ ( numeral_numeral_real @ X ) @ N )
= ( ring_1_of_int_real @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_numeral__power__eq__of__int__cancel__iff) ).
thf(348,axiom,
! [X: num,N: nat,Y: int] :
( ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= ( ring_1_of_int_int @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_numeral__power__eq__of__int__cancel__iff) ).
thf(349,axiom,
! [X: num,N: nat] :
( ( archim1371465213g_real @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_ceiling__numeral__power) ).
thf(350,axiom,
! [A: int,X: num,N: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ A ) @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_of__int__le__numeral__power__cancel__iff) ).
thf(351,axiom,
! [A: int,X: num,N: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ A ) @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_of__int__le__numeral__power__cancel__iff) ).
thf(352,axiom,
! [X: num,N: nat,A: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) @ ( ring_1_of_int_real @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_numeral__power__le__of__int__cancel__iff) ).
thf(353,axiom,
! [X: num,N: nat,A: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ ( ring_1_of_int_int @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_numeral__power__le__of__int__cancel__iff) ).
thf(354,conjecture,
ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(355,negated_conjecture,
( ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[354]) ).
thf(356,plain,
( ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[355]) ).
thf(357,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(358,plain,
( ( ! [X: int,N: nat] :
( ( ord_less_eq_nat @ ( nat2 @ X ) @ N )
= ( ord_less_eq_int @ X @ ( semiri2019852685at_int @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(359,plain,
( ( ! [X: num] :
( ( pow @ X @ one )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(360,plain,
( ( ! [Z: int,Z5: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( ord_less_eq_int @ zero_zero_int @ Z5 )
=> ( ( ( nat2 @ Z )
= ( nat2 @ Z5 ) )
= ( Z = Z5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(361,plain,
( ( ( ^ [P2: nat > $o] :
! [X6: nat] : ( P2 @ X6 ) )
= ( ^ [P3: nat > $o] :
! [X3: int] :
( ( ord_less_eq_int @ zero_zero_int @ X3 )
=> ( P3 @ ( nat2 @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(362,plain,
( ( ( ^ [P2: nat > $o] :
? [X6: nat] : ( P2 @ X6 ) )
= ( ^ [P3: nat > $o] :
? [X3: int] :
( ( ord_less_eq_int @ zero_zero_int @ X3 )
& ( P3 @ ( nat2 @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(363,plain,
( ( ! [N: num] :
( ( semiri2019852685at_int @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_int @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(364,plain,
( ( ! [M: nat,N: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ ( semiri2019852685at_int @ N ) )
= ( ord_less_eq_nat @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(365,plain,
( ( ord_less_eq_nat
= ( ^ [A3: nat,B2: nat] : ( ord_less_eq_int @ ( semiri2019852685at_int @ A3 ) @ ( semiri2019852685at_int @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(366,plain,
( ( ! [K: int,N: nat] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ( ( ord_less_eq_nat @ N @ ( nat2 @ K ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ N ) @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(367,plain,
( ( ord_less_eq_int @ zero_zero_int @ zero_zero_int )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(368,plain,
( ( ! [A: int,N: nat] :
( ( A != zero_zero_int )
=> ( ( power_power_int @ A @ N )
!= zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(369,plain,
( ( ! [N: num] :
( zero_zero_real
!= ( numeral_numeral_real @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(370,plain,
( ( ! [N: num] :
( zero_zero_int
!= ( numeral_numeral_int @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(371,plain,
( ( ord_less_eq_int @ zero_zero_int @ zero_zero_int )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(372,plain,
( ( ! [M: nat,Z: int] :
( ( ( semiri2019852685at_int @ M )
= Z )
= ( ( M
= ( nat2 @ Z ) )
& ( ord_less_eq_int @ zero_zero_int @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(373,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(374,plain,
( ( ! [N: nat] :
( ( ( N = zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ N )
= one_one_int ) )
& ( ( N != zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ N )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(375,plain,
( ( zero_zero_nat
= ( nat2 @ zero_zero_int ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(376,plain,
( ( ! [W: int,M: nat] :
( ( ( nat2 @ W )
= M )
= ( ( ( ord_less_eq_int @ zero_zero_int @ W )
=> ( W
= ( semiri2019852685at_int @ M ) ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ W )
=> ( M = zero_zero_nat ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(377,plain,
( ( ! [M: nat,W: int] :
( ( M
= ( nat2 @ W ) )
= ( ( ( ord_less_eq_int @ zero_zero_int @ W )
=> ( W
= ( semiri2019852685at_int @ M ) ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ W )
=> ( M = zero_zero_nat ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(378,plain,
( ( ! [K: int] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ~ ! [N3: nat] :
( K
!= ( semiri2019852685at_int @ N3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(379,plain,
( ( ! [K: int] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ? [N3: nat] :
( K
= ( semiri2019852685at_int @ N3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(380,plain,
( ( ! [A: int] :
( ( ord_less_eq_int @ ( power_power_int @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= ( A = zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(381,plain,
( ( ! [A: real] :
( ( ( power_power_real @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= ( A = zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(382,plain,
( ( ! [A: nat] :
( ( ( power_power_nat @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= ( A = zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(383,plain,
( ( ! [A: int] :
( ( ( power_power_int @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= ( A = zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(384,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= ( ring_1_of_int_int @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(385,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2110766477t_real @ ( nat2 @ Z ) )
= ( ring_1_of_int_real @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(386,plain,
( ( ! [X: real] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ zero_zero_int )
= ( ord_less_eq_real @ X @ zero_zero_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(387,plain,
( ( ! [Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ zero_zero_real )
= ( ord_less_eq_int @ Z @ zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(388,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ zero_zero_int )
= ( ord_less_eq_int @ Z @ zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(389,plain,
( ( ! [Z: int] :
( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ zero_zero_int @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(390,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ zero_zero_int @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(391,plain,
( ( ! [K: num] :
( ( neg_numeral_dbl_real @ ( numeral_numeral_real @ K ) )
= ( numeral_numeral_real @ ( bit0 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(392,plain,
( ( ! [K: num] :
( ( neg_numeral_dbl_int @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_int @ ( bit0 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(393,plain,
( ( ! [Z: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= Z ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(394,plain,
( ( ! [A: real] :
( ( log @ A @ one_one_real )
= zero_zero_real ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(395,plain,
( ( ! [M: nat,V: num] :
( ( ( semiri2019852685at_int @ M )
= ( numeral_numeral_int @ V ) )
= ( M
= ( numeral_numeral_nat @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(396,plain,
( ( ( nat2 @ one_one_int )
= ( suc @ zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(397,plain,
( ( ! [K: num] :
( ( power_power_int @ zero_zero_int @ ( numeral_numeral_nat @ K ) )
= zero_zero_int ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(398,plain,
( ( ! [N: nat] :
( ( power_power_int @ zero_zero_int @ ( suc @ N ) )
= zero_zero_int ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(399,plain,
( ( ! [M: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ zero_zero_int )
= ( M = zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(400,plain,
( ( ! [N: nat] :
( ( nat2 @ ( semiri2019852685at_int @ N ) )
= N ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(401,plain,
( ( ! [I2: int] :
( ( ( nat2 @ I2 )
= zero_zero_nat )
= ( ord_less_eq_int @ I2 @ zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(402,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ Z @ zero_zero_int )
=> ( ( nat2 @ Z )
= zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(403,plain,
( ( ( archim1371465213g_real @ zero_zero_real )
= zero_zero_int )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(404,plain,
( ( ! [Z: int] :
( ( ( ring_1_of_int_real @ Z )
= zero_zero_real )
= ( Z = zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(405,plain,
( ( ! [Z: int] :
( ( zero_zero_real
= ( ring_1_of_int_real @ Z ) )
= ( Z = zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(406,plain,
( ( ( ring_1_of_int_real @ zero_zero_int )
= zero_zero_real )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(407,plain,
( ( ! [A: int] :
( ( power_power_int @ A @ ( suc @ zero_zero_nat ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(408,plain,
( ( ord_less_int @ zero_zero_int @ d )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(409,plain,
( ( ! [X: int,Y: int] :
( ( ord_less_eq_int @ zero_zero_int @ X )
=> ( ( ord_less_eq_int @ zero_zero_int @ Y )
=> ( ( ( power_power_int @ X @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ Y @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( X = Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(410,plain,
( ( ! [X: int] : ( ord_less_eq_int @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(411,plain,
( ( ! [K: num,L: num] :
( ( power_power_real @ ( numeral_numeral_real @ K ) @ ( numeral_numeral_nat @ L ) )
= ( numeral_numeral_real @ ( pow @ K @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(412,plain,
( ( ! [K: num,L: num] :
( ( power_power_int @ ( numeral_numeral_int @ K ) @ ( numeral_numeral_nat @ L ) )
= ( numeral_numeral_int @ ( pow @ K @ L ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(413,plain,
( ( ( neg_numeral_dbl_real @ one_one_real )
= ( numeral_numeral_real @ ( bit0 @ one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(414,plain,
( ( ( neg_numeral_dbl_int @ one_one_int )
= ( numeral_numeral_int @ ( bit0 @ one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(415,plain,
( ( ( power_power_real @ one_one_real @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_real )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(416,plain,
( ( ( power_power_nat @ one_one_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_nat )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(417,plain,
( ( ( power_power_int @ one_one_int @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(418,plain,
( ( ! [N: nat,N5: nat,A: int] :
( ( ord_less_eq_nat @ N @ N5 )
=> ( ( ord_less_eq_int @ one_one_int @ A )
=> ( ord_less_eq_int @ ( power_power_int @ A @ N ) @ ( power_power_int @ A @ N5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(419,plain,
( ( ! [F: nat > int,N: nat,N4: nat] :
( ! [N3: nat] : ( ord_less_eq_int @ ( F @ N3 ) @ ( F @ ( suc @ N3 ) ) )
=> ( ( ord_less_eq_nat @ N @ N4 )
=> ( ord_less_eq_int @ ( F @ N ) @ ( F @ N4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(420,plain,
( ( ! [F: nat > int,N: nat,N4: nat] :
( ! [N3: nat] : ( ord_less_eq_int @ ( F @ ( suc @ N3 ) ) @ ( F @ N3 ) )
=> ( ( ord_less_eq_nat @ N @ N4 )
=> ( ord_less_eq_int @ ( F @ N4 ) @ ( F @ N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(421,plain,
( ( ! [A: int,N: nat] :
( ( ord_less_eq_int @ one_one_int @ A )
=> ( ord_less_eq_int @ one_one_int @ ( power_power_int @ A @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(422,plain,
( ( ! [M: nat,N: nat] :
( ( M
= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N ) )
=> ( ( semiri2110766477t_real @ N )
= ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ M ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(423,plain,
( ( ! [X: real] : ( ord_less_eq_real @ X @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(424,plain,
( ( ! [R: real] : ( ord_less_eq_real @ R @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(425,plain,
( ( ( numeral_numeral_nat @ one )
= one_one_nat )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(426,plain,
( ( ! [I2: nat,J: nat] :
( ( ord_less_eq_nat @ I2 @ J )
=> ( ord_less_eq_int @ ( semiri2019852685at_int @ I2 ) @ ( semiri2019852685at_int @ J ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(427,plain,
( ( one_one_nat
= ( nat2 @ one_one_int ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(428,plain,
( ( ! [X: real,A: nat] :
( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ X ) ) @ A )
= ( ord_less_eq_real @ X @ ( semiri2110766477t_real @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(429,plain,
( ( ! [X: num,N: nat,Y: nat] :
( ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= ( semiri2019852685at_int @ Y ) )
= ( ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(430,plain,
( ( ! [Y: nat,X: num,N: nat] :
( ( ( semiri2019852685at_int @ Y )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( Y
= ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(431,plain,
( ( ! [B: nat,W: nat,X: nat] :
( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) @ ( semiri2019852685at_int @ X ) )
= ( ord_less_eq_nat @ ( power_power_nat @ B @ W ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(432,plain,
( ( ! [X: nat,B: nat,W: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ X ) @ ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) )
= ( ord_less_eq_nat @ X @ ( power_power_nat @ B @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(433,plain,
( ( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(434,plain,
( ( ! [M: nat,N: nat] :
( ( semiri2019852685at_int @ ( power_power_nat @ M @ N ) )
= ( power_power_int @ ( semiri2019852685at_int @ M ) @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(435,plain,
( ( ! [B: nat,W: nat,X: nat] :
( ( ( power_power_int @ ( semiri2019852685at_int @ B ) @ W )
= ( semiri2019852685at_int @ X ) )
= ( ( power_power_nat @ B @ W )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(436,plain,
( ( ! [X: nat,B: nat,W: nat] :
( ( ( semiri2019852685at_int @ X )
= ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) )
= ( X
= ( power_power_nat @ B @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(437,plain,
( ( ! [N: num] :
( ( semiri2019852685at_int @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_int @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(438,plain,
( ( ! [N: num] :
( ( semiri2110766477t_real @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_real @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(439,plain,
( ( ! [M: nat,N: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ ( semiri2019852685at_int @ N ) )
= ( ord_less_eq_nat @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(440,plain,
( ( ! [N: nat] :
( ( archim1371465213g_real @ ( semiri2110766477t_real @ N ) )
= ( semiri2019852685at_int @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(441,plain,
( ( ! [N: nat] :
( ( ring_1_of_int_real @ ( semiri2019852685at_int @ N ) )
= ( semiri2110766477t_real @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(442,plain,
( ( ! [N: nat] :
( ( power_power_int @ one_one_int @ N )
= one_one_int ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(443,plain,
( ( ! [A: int] :
( ( power_power_int @ A @ one_one_nat )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(444,plain,
( ( ! [M: nat,N: nat] :
( ( ord_less_eq_nat @ ( power_power_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ N )
=> ( ord_less_eq_nat @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(445,plain,
( ( ! [M: nat,N: nat] :
( ( ord_less_eq_nat @ ( power_power_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ N @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( ord_less_eq_nat @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(446,plain,
( ( ! [K: nat,M: nat] :
( ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ K )
=> ( ord_less_eq_nat @ M @ ( power_power_nat @ K @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(447,plain,
( ( ! [M: num,N: num] :
( ( powr_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_real @ N ) )
= ( power_power_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_nat @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(448,plain,
( ( ord_less_eq_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(449,plain,
( ( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= ( ring_1_of_int_real @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(450,plain,
( ( numeral_numeral_nat
= ( ^ [I: num] : ( nat2 @ ( numeral_numeral_int @ I ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(451,plain,
( ( ! [X2: num] :
( one
!= ( bit0 @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(452,plain,
( ( ! [A: int,X: int] :
( ( ord_less_eq_int @ A @ X )
| ( A = X )
| ( ord_less_eq_int @ X @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(453,plain,
( ( ! [N: nat] : ( ord_less_eq_real @ one_one_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(454,plain,
( ( ! [X: num] :
( ( ord_less_eq_num @ X @ one )
= ( X = one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(455,plain,
( ( ! [A: int,B: int] :
( ( A = B )
| ~ ( ord_less_eq_int @ A @ B )
| ~ ( ord_less_eq_int @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(456,plain,
( ( ( numeral_numeral_nat @ one )
= one_one_nat )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(457,plain,
( ( ( numeral_numeral_real @ one )
= one_one_real )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(458,plain,
( ( ( numeral_numeral_int @ one )
= one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(459,plain,
( ( ! [N: num] : ( ord_less_eq_real @ one_one_real @ ( numeral_numeral_real @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(460,plain,
( ( ! [N: num] : ( ord_less_eq_int @ one_one_int @ ( numeral_numeral_int @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(461,plain,
( ( ord_less_eq_int @ one_one_int @ one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(462,plain,
( ( ! [N: num] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ N ) @ one_one_real )
= ( ord_less_eq_num @ N @ one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(463,plain,
( ( ! [N: num] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ one_one_int )
= ( ord_less_eq_num @ N @ one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(464,plain,
( ( ! [X: real] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ one_one_int )
= ( ord_less_eq_real @ X @ one_one_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(465,plain,
( ( ! [Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ one_one_real )
= ( ord_less_eq_int @ Z @ one_one_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(466,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ one_one_int )
= ( ord_less_eq_int @ Z @ one_one_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(467,plain,
( ( ! [Z: int] :
( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ one_one_int @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(468,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ one_one_int @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(469,plain,
( ( ! [N: num] :
( ( one_one_nat
= ( numeral_numeral_nat @ N ) )
= ( one = N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(470,plain,
( ( ! [N: num] :
( ( one_one_real
= ( numeral_numeral_real @ N ) )
= ( one = N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(471,plain,
( ( ! [N: num] :
( ( one_one_int
= ( numeral_numeral_int @ N ) )
= ( one = N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(472,plain,
( ( ! [N: num] :
( ( ( numeral_numeral_nat @ N )
= one_one_nat )
= ( N = one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(473,plain,
( ( ! [N: num] :
( ( ( numeral_numeral_real @ N )
= one_one_real )
= ( N = one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(474,plain,
( ( ! [N: num] :
( ( ( numeral_numeral_int @ N )
= one_one_int )
= ( N = one ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(475,plain,
( ( ( archim1371465213g_real @ one_one_real )
= one_one_int )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(476,plain,
( ( ( ring_1_of_int_real @ one_one_int )
= one_one_real )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(477,plain,
( ( ! [Z: int] :
( ( ( ring_1_of_int_real @ Z )
= one_one_real )
= ( Z = one_one_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(478,plain,
( ( ! [M: num,N: num] :
( ( ( numeral_numeral_real @ M )
= ( numeral_numeral_real @ N ) )
= ( M = N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(479,plain,
( ( ! [M: num,N: num] :
( ( ( numeral_numeral_int @ M )
= ( numeral_numeral_int @ N ) )
= ( M = N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(480,plain,
( ( ! [X2: num,Y2: num] :
( ( ( bit0 @ X2 )
= ( bit0 @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(481,plain,
( ( ! [M: num,N: num] :
( ( ( bit0 @ M )
= ( bit0 @ N ) )
= ( M = N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(482,plain,
( ( ! [M: num,N: num] :
( ( ord_less_eq_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
= ( ord_less_eq_num @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(483,plain,
( ( ! [N: num] : ( ord_less_eq_num @ one @ N ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(484,plain,
( ( n
= ( suc @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(485,plain,
( ( ( ring_1_of_int_real @ d )
= ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(486,plain,
( ( ! [M: num,N: num] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_real @ N ) )
= ( ord_less_eq_num @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(487,plain,
( ( ! [M: num,N: num] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ M ) @ ( numeral_numeral_int @ N ) )
= ( ord_less_eq_num @ M @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(488,plain,
( ( ! [M: num] :
( ( bit0 @ M )
!= one ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(489,plain,
( ( ! [N: num] :
( one
!= ( bit0 @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(490,plain,
( ( ! [M: num] :
~ ( ord_less_eq_num @ ( bit0 @ M ) @ one ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(491,plain,
( ( ord_less_eq_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ one_one_real ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(492,plain,
( ( ! [X: real,A: int] :
( ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ A ) )
=> ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(493,plain,
( ( ! [X: real,Z: int] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ Z )
= ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(494,plain,
( ( ! [Y: real,X: real] :
( ( ord_less_eq_real @ Y @ X )
=> ( ord_less_eq_int @ ( archim1371465213g_real @ Y ) @ ( archim1371465213g_real @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(495,plain,
( ( ! [X: real] : ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ ( archim1371465213g_real @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(496,plain,
( ( ! [X: real] :
? [Z2: int] : ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ Z2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(497,plain,
( ( ! [X: int,Y: int] :
( ( ord_less_eq_int @ X @ Y )
=> ( ord_less_eq_nat @ ( nat2 @ X ) @ ( nat2 @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(498,plain,
( ( ! [A: int,X: num,N: nat] :
( ( ord_less_eq_nat @ ( nat2 @ A ) @ ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(499,plain,
( ( ! [X: num,N: nat,A: int] :
( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) @ ( nat2 @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(500,plain,
( ( ! [Y: int,X: num,N: nat] :
( ( ( nat2 @ Y )
= ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(501,plain,
( ( ! [X: num,N: nat,Y: int] :
( ( ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N )
= ( nat2 @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(502,plain,
( ( ! [X: int,B: int,W: nat] :
( ( ( ring_1_of_int_real @ X )
= ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) )
= ( X
= ( power_power_int @ B @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(503,plain,
( ( ! [X: int,B: int,W: nat] :
( ( ( ring_1_of_int_int @ X )
= ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) )
= ( X
= ( power_power_int @ B @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(504,plain,
( ( ! [V: num] :
( ( archim1371465213g_real @ ( numeral_numeral_real @ V ) )
= ( numeral_numeral_int @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(505,plain,
( ( ! [Z: int,N: num] :
( ( ( ring_1_of_int_real @ Z )
= ( numeral_numeral_real @ N ) )
= ( Z
= ( numeral_numeral_int @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(506,plain,
( ( ! [Z: int,N: num] :
( ( ( ring_1_of_int_int @ Z )
= ( numeral_numeral_int @ N ) )
= ( Z
= ( numeral_numeral_int @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(507,plain,
( ( ! [K: num] :
( ( ring_1_of_int_real @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_real @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(508,plain,
( ( ! [K: num] :
( ( ring_1_of_int_int @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_int @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(509,plain,
( ( ! [W: int,Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ W ) @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ W @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(510,plain,
( ( ! [W: int,Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ W ) @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ W @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(511,plain,
( ( ! [X: real] :
( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ X ) )
= X )
= ( ? [N2: int] :
( X
= ( ring_1_of_int_real @ N2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(512,plain,
( ( ! [Z: int] :
( ( archim1371465213g_real @ ( ring_1_of_int_real @ Z ) )
= Z ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(513,plain,
( ( ! [K: num] :
( ( nat2 @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_nat @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(514,plain,
( ( ! [W: int,Z: int] :
( ( ( ring_1_of_int_real @ W )
= ( ring_1_of_int_real @ Z ) )
= ( W = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(515,plain,
( ( ! [B: int,W: nat,X: int] :
( ( ( power_power_real @ ( ring_1_of_int_real @ B ) @ W )
= ( ring_1_of_int_real @ X ) )
= ( ( power_power_int @ B @ W )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(516,plain,
( ( ! [B: int,W: nat,X: int] :
( ( ( power_power_int @ ( ring_1_of_int_int @ B ) @ W )
= ( ring_1_of_int_int @ X ) )
= ( ( power_power_int @ B @ W )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(517,plain,
( ( ! [Z: int,N: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ Z @ N ) )
= ( power_power_real @ ( ring_1_of_int_real @ Z ) @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(518,plain,
( ( ! [Z: int,N: nat] :
( ( ring_1_of_int_int @ ( power_power_int @ Z @ N ) )
= ( power_power_int @ ( ring_1_of_int_int @ Z ) @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(519,plain,
( ( ! [N: num,Z: int] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ N ) @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(520,plain,
( ( ! [N: num,Z: int] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(521,plain,
( ( ! [Z: int,N: num] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ ( numeral_numeral_real @ N ) )
= ( ord_less_eq_int @ Z @ ( numeral_numeral_int @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(522,plain,
( ( ! [Z: int,N: num] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ ( numeral_numeral_int @ N ) )
= ( ord_less_eq_int @ Z @ ( numeral_numeral_int @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(523,plain,
( ( ! [X: real,V: num] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ ( numeral_numeral_int @ V ) )
= ( ord_less_eq_real @ X @ ( numeral_numeral_real @ V ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(524,plain,
( ( ! [X: int,B: int,W: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ X ) @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) )
= ( ord_less_eq_int @ X @ ( power_power_int @ B @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(525,plain,
( ( ! [X: int,B: int,W: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ X ) @ ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) )
= ( ord_less_eq_int @ X @ ( power_power_int @ B @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(526,plain,
( ( ! [B: int,W: nat,X: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) @ ( ring_1_of_int_real @ X ) )
= ( ord_less_eq_int @ ( power_power_int @ B @ W ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(527,plain,
( ( ! [B: int,W: nat,X: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) @ ( ring_1_of_int_int @ X ) )
= ( ord_less_eq_int @ ( power_power_int @ B @ W ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(528,plain,
( ( ! [Y: int,X: num,N: nat] :
( ( ( ring_1_of_int_real @ Y )
= ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(529,plain,
( ( ! [Y: int,X: num,N: nat] :
( ( ( ring_1_of_int_int @ Y )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(530,plain,
( ( ! [X: num,N: nat,Y: int] :
( ( ( power_power_real @ ( numeral_numeral_real @ X ) @ N )
= ( ring_1_of_int_real @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(531,plain,
( ( ! [X: num,N: nat,Y: int] :
( ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= ( ring_1_of_int_int @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(532,plain,
( ( ! [X: num,N: nat] :
( ( archim1371465213g_real @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(533,plain,
( ( ! [A: int,X: num,N: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ A ) @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(534,plain,
( ( ! [A: int,X: num,N: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ A ) @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(535,plain,
( ( ! [X: num,N: nat,A: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) @ ( ring_1_of_int_real @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(536,plain,
( ( ! [X: num,N: nat,A: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ ( ring_1_of_int_int @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(537,plain,
( ( ~ ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[356]) ).
thf(538,plain,
( ( ! [X: num,N: nat,A: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ ( ring_1_of_int_int @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[536]) ).
thf(539,plain,
( ( ! [X: num,N: nat,A: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) @ ( ring_1_of_int_real @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[535]) ).
thf(540,plain,
( ( ! [A: int,X: num,N: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ A ) @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[534]) ).
thf(541,plain,
( ( ! [A: int,X: num,N: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ A ) @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[533]) ).
thf(542,plain,
( ( ! [X: num,N: nat] :
( ( archim1371465213g_real @ ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) )
= $true ),
inference(copy,[status(thm)],[532]) ).
thf(543,plain,
( ( ! [X: num,N: nat,Y: int] :
( ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= ( ring_1_of_int_int @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[531]) ).
thf(544,plain,
( ( ! [X: num,N: nat,Y: int] :
( ( ( power_power_real @ ( numeral_numeral_real @ X ) @ N )
= ( ring_1_of_int_real @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[530]) ).
thf(545,plain,
( ( ! [Y: int,X: num,N: nat] :
( ( ( ring_1_of_int_int @ Y )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[529]) ).
thf(546,plain,
( ( ! [Y: int,X: num,N: nat] :
( ( ( ring_1_of_int_real @ Y )
= ( power_power_real @ ( numeral_numeral_real @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[528]) ).
thf(547,plain,
( ( ! [B: int,W: nat,X: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) @ ( ring_1_of_int_int @ X ) )
= ( ord_less_eq_int @ ( power_power_int @ B @ W ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[527]) ).
thf(548,plain,
( ( ! [B: int,W: nat,X: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) @ ( ring_1_of_int_real @ X ) )
= ( ord_less_eq_int @ ( power_power_int @ B @ W ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[526]) ).
thf(549,plain,
( ( ! [X: int,B: int,W: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ X ) @ ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) )
= ( ord_less_eq_int @ X @ ( power_power_int @ B @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[525]) ).
thf(550,plain,
( ( ! [X: int,B: int,W: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ X ) @ ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) )
= ( ord_less_eq_int @ X @ ( power_power_int @ B @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[524]) ).
thf(551,plain,
( ( ! [X: real,V: num] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ ( numeral_numeral_int @ V ) )
= ( ord_less_eq_real @ X @ ( numeral_numeral_real @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[523]) ).
thf(552,plain,
( ( ! [Z: int,N: num] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ ( numeral_numeral_int @ N ) )
= ( ord_less_eq_int @ Z @ ( numeral_numeral_int @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[522]) ).
thf(553,plain,
( ( ! [Z: int,N: num] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ ( numeral_numeral_real @ N ) )
= ( ord_less_eq_int @ Z @ ( numeral_numeral_int @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[521]) ).
thf(554,plain,
( ( ! [N: num,Z: int] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[520]) ).
thf(555,plain,
( ( ! [N: num,Z: int] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ N ) @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[519]) ).
thf(556,plain,
( ( ! [Z: int,N: nat] :
( ( ring_1_of_int_int @ ( power_power_int @ Z @ N ) )
= ( power_power_int @ ( ring_1_of_int_int @ Z ) @ N ) ) )
= $true ),
inference(copy,[status(thm)],[518]) ).
thf(557,plain,
( ( ! [Z: int,N: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ Z @ N ) )
= ( power_power_real @ ( ring_1_of_int_real @ Z ) @ N ) ) )
= $true ),
inference(copy,[status(thm)],[517]) ).
thf(558,plain,
( ( ! [B: int,W: nat,X: int] :
( ( ( power_power_int @ ( ring_1_of_int_int @ B ) @ W )
= ( ring_1_of_int_int @ X ) )
= ( ( power_power_int @ B @ W )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[516]) ).
thf(559,plain,
( ( ! [B: int,W: nat,X: int] :
( ( ( power_power_real @ ( ring_1_of_int_real @ B ) @ W )
= ( ring_1_of_int_real @ X ) )
= ( ( power_power_int @ B @ W )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[515]) ).
thf(560,plain,
( ( ! [W: int,Z: int] :
( ( ( ring_1_of_int_real @ W )
= ( ring_1_of_int_real @ Z ) )
= ( W = Z ) ) )
= $true ),
inference(copy,[status(thm)],[514]) ).
thf(561,plain,
( ( ! [K: num] :
( ( nat2 @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_nat @ K ) ) )
= $true ),
inference(copy,[status(thm)],[513]) ).
thf(562,plain,
( ( ! [Z: int] :
( ( archim1371465213g_real @ ( ring_1_of_int_real @ Z ) )
= Z ) )
= $true ),
inference(copy,[status(thm)],[512]) ).
thf(563,plain,
( ( ! [X: real] :
( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ X ) )
= X )
= ( ? [N2: int] :
( X
= ( ring_1_of_int_real @ N2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(564,plain,
( ( ! [W: int,Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ W ) @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ W @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(565,plain,
( ( ! [W: int,Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ W ) @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ W @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(566,plain,
( ( ! [K: num] :
( ( ring_1_of_int_int @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_int @ K ) ) )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(567,plain,
( ( ! [K: num] :
( ( ring_1_of_int_real @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_real @ K ) ) )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(568,plain,
( ( ! [Z: int,N: num] :
( ( ( ring_1_of_int_int @ Z )
= ( numeral_numeral_int @ N ) )
= ( Z
= ( numeral_numeral_int @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(569,plain,
( ( ! [Z: int,N: num] :
( ( ( ring_1_of_int_real @ Z )
= ( numeral_numeral_real @ N ) )
= ( Z
= ( numeral_numeral_int @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[505]) ).
thf(570,plain,
( ( ! [V: num] :
( ( archim1371465213g_real @ ( numeral_numeral_real @ V ) )
= ( numeral_numeral_int @ V ) ) )
= $true ),
inference(copy,[status(thm)],[504]) ).
thf(571,plain,
( ( ! [X: int,B: int,W: nat] :
( ( ( ring_1_of_int_int @ X )
= ( power_power_int @ ( ring_1_of_int_int @ B ) @ W ) )
= ( X
= ( power_power_int @ B @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[503]) ).
thf(572,plain,
( ( ! [X: int,B: int,W: nat] :
( ( ( ring_1_of_int_real @ X )
= ( power_power_real @ ( ring_1_of_int_real @ B ) @ W ) )
= ( X
= ( power_power_int @ B @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[502]) ).
thf(573,plain,
( ( ! [X: num,N: nat,Y: int] :
( ( ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N )
= ( nat2 @ Y ) )
= ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[501]) ).
thf(574,plain,
( ( ! [Y: int,X: num,N: nat] :
( ( ( nat2 @ Y )
= ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) )
= ( Y
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[500]) ).
thf(575,plain,
( ( ! [X: num,N: nat,A: int] :
( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) @ ( nat2 @ A ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[499]) ).
thf(576,plain,
( ( ! [A: int,X: num,N: nat] :
( ( ord_less_eq_nat @ ( nat2 @ A ) @ ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) )
= ( ord_less_eq_int @ A @ ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[498]) ).
thf(577,plain,
( ( ! [X: int,Y: int] :
( ( ord_less_eq_int @ X @ Y )
=> ( ord_less_eq_nat @ ( nat2 @ X ) @ ( nat2 @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[497]) ).
thf(578,plain,
( ( ! [X: real] :
? [Z2: int] : ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[496]) ).
thf(579,plain,
( ( ! [X: real] : ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ ( archim1371465213g_real @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[495]) ).
thf(580,plain,
( ( ! [Y: real,X: real] :
( ( ord_less_eq_real @ Y @ X )
=> ( ord_less_eq_int @ ( archim1371465213g_real @ Y ) @ ( archim1371465213g_real @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[494]) ).
thf(581,plain,
( ( ! [X: real,Z: int] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ Z )
= ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(582,plain,
( ( ! [X: real,A: int] :
( ( ord_less_eq_real @ X @ ( ring_1_of_int_real @ A ) )
=> ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(583,plain,
( ( ord_less_eq_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ one_one_real ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(584,plain,
( ( ! [M: num] :
~ ( ord_less_eq_num @ ( bit0 @ M ) @ one ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(585,plain,
( ( ! [N: num] :
( one
!= ( bit0 @ N ) ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(586,plain,
( ( ! [M: num] :
( ( bit0 @ M )
!= one ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(587,plain,
( ( ! [M: num,N: num] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ M ) @ ( numeral_numeral_int @ N ) )
= ( ord_less_eq_num @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(588,plain,
( ( ! [M: num,N: num] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_real @ N ) )
= ( ord_less_eq_num @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(589,plain,
( ( ( ring_1_of_int_real @ d )
= ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(590,plain,
( ( n
= ( suc @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(591,plain,
( ( ! [N: num] : ( ord_less_eq_num @ one @ N ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(592,plain,
( ( ! [M: num,N: num] :
( ( ord_less_eq_num @ ( bit0 @ M ) @ ( bit0 @ N ) )
= ( ord_less_eq_num @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(593,plain,
( ( ! [M: num,N: num] :
( ( ( bit0 @ M )
= ( bit0 @ N ) )
= ( M = N ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(594,plain,
( ( ! [X2: num,Y2: num] :
( ( ( bit0 @ X2 )
= ( bit0 @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(595,plain,
( ( ! [M: num,N: num] :
( ( ( numeral_numeral_int @ M )
= ( numeral_numeral_int @ N ) )
= ( M = N ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(596,plain,
( ( ! [M: num,N: num] :
( ( ( numeral_numeral_real @ M )
= ( numeral_numeral_real @ N ) )
= ( M = N ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(597,plain,
( ( ! [Z: int] :
( ( ( ring_1_of_int_real @ Z )
= one_one_real )
= ( Z = one_one_int ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(598,plain,
( ( ( ring_1_of_int_real @ one_one_int )
= one_one_real )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(599,plain,
( ( ( archim1371465213g_real @ one_one_real )
= one_one_int )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(600,plain,
( ( ! [N: num] :
( ( ( numeral_numeral_int @ N )
= one_one_int )
= ( N = one ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(601,plain,
( ( ! [N: num] :
( ( ( numeral_numeral_real @ N )
= one_one_real )
= ( N = one ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(602,plain,
( ( ! [N: num] :
( ( ( numeral_numeral_nat @ N )
= one_one_nat )
= ( N = one ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(603,plain,
( ( ! [N: num] :
( ( one_one_int
= ( numeral_numeral_int @ N ) )
= ( one = N ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(604,plain,
( ( ! [N: num] :
( ( one_one_real
= ( numeral_numeral_real @ N ) )
= ( one = N ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(605,plain,
( ( ! [N: num] :
( ( one_one_nat
= ( numeral_numeral_nat @ N ) )
= ( one = N ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(606,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ one_one_int @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(607,plain,
( ( ! [Z: int] :
( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ one_one_int @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(608,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ one_one_int )
= ( ord_less_eq_int @ Z @ one_one_int ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(609,plain,
( ( ! [Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ one_one_real )
= ( ord_less_eq_int @ Z @ one_one_int ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(610,plain,
( ( ! [X: real] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ one_one_int )
= ( ord_less_eq_real @ X @ one_one_real ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(611,plain,
( ( ! [N: num] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ N ) @ one_one_int )
= ( ord_less_eq_num @ N @ one ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(612,plain,
( ( ! [N: num] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ N ) @ one_one_real )
= ( ord_less_eq_num @ N @ one ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(613,plain,
( ( ord_less_eq_int @ one_one_int @ one_one_int )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(614,plain,
( ( ! [N: num] : ( ord_less_eq_int @ one_one_int @ ( numeral_numeral_int @ N ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(615,plain,
( ( ! [N: num] : ( ord_less_eq_real @ one_one_real @ ( numeral_numeral_real @ N ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(616,plain,
( ( ( numeral_numeral_int @ one )
= one_one_int )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(617,plain,
( ( ( numeral_numeral_real @ one )
= one_one_real )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(618,plain,
( ( ( numeral_numeral_nat @ one )
= one_one_nat )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(619,plain,
( ( ! [A: int,B: int] :
( ( A = B )
| ~ ( ord_less_eq_int @ A @ B )
| ~ ( ord_less_eq_int @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(620,plain,
( ( ! [X: num] :
( ( ord_less_eq_num @ X @ one )
= ( X = one ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(621,plain,
( ( ! [N: nat] : ( ord_less_eq_real @ one_one_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ N ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(622,plain,
( ( ! [A: int,X: int] :
( ( ord_less_eq_int @ A @ X )
| ( A = X )
| ( ord_less_eq_int @ X @ A ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(623,plain,
( ( ! [X2: num] :
( one
!= ( bit0 @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(624,plain,
( ( numeral_numeral_nat
= ( ^ [I: num] : ( nat2 @ ( numeral_numeral_int @ I ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(625,plain,
( ( ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= ( ring_1_of_int_real @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(626,plain,
( ( ord_less_eq_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(627,plain,
( ( ! [M: num,N: num] :
( ( powr_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_real @ N ) )
= ( power_power_real @ ( numeral_numeral_real @ M ) @ ( numeral_numeral_nat @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(628,plain,
( ( ! [K: nat,M: nat] :
( ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ K )
=> ( ord_less_eq_nat @ M @ ( power_power_nat @ K @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(629,plain,
( ( ! [M: nat,N: nat] :
( ( ord_less_eq_nat @ ( power_power_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ N @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( ord_less_eq_nat @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(630,plain,
( ( ! [M: nat,N: nat] :
( ( ord_less_eq_nat @ ( power_power_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ N )
=> ( ord_less_eq_nat @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(631,plain,
( ( ! [A: int] :
( ( power_power_int @ A @ one_one_nat )
= A ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(632,plain,
( ( ! [N: nat] :
( ( power_power_int @ one_one_int @ N )
= one_one_int ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(633,plain,
( ( ! [N: nat] :
( ( ring_1_of_int_real @ ( semiri2019852685at_int @ N ) )
= ( semiri2110766477t_real @ N ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(634,plain,
( ( ! [N: nat] :
( ( archim1371465213g_real @ ( semiri2110766477t_real @ N ) )
= ( semiri2019852685at_int @ N ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(635,plain,
( ( ! [M: nat,N: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ ( semiri2019852685at_int @ N ) )
= ( ord_less_eq_nat @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(636,plain,
( ( ! [N: num] :
( ( semiri2110766477t_real @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_real @ N ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(637,plain,
( ( ! [N: num] :
( ( semiri2019852685at_int @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_int @ N ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(638,plain,
( ( ! [X: nat,B: nat,W: nat] :
( ( ( semiri2019852685at_int @ X )
= ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) )
= ( X
= ( power_power_nat @ B @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(639,plain,
( ( ! [B: nat,W: nat,X: nat] :
( ( ( power_power_int @ ( semiri2019852685at_int @ B ) @ W )
= ( semiri2019852685at_int @ X ) )
= ( ( power_power_nat @ B @ W )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(640,plain,
( ( ! [M: nat,N: nat] :
( ( semiri2019852685at_int @ ( power_power_nat @ M @ N ) )
= ( power_power_int @ ( semiri2019852685at_int @ M ) @ N ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(641,plain,
( ( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(642,plain,
( ( ! [X: nat,B: nat,W: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ X ) @ ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) )
= ( ord_less_eq_nat @ X @ ( power_power_nat @ B @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(643,plain,
( ( ! [B: nat,W: nat,X: nat] :
( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ B ) @ W ) @ ( semiri2019852685at_int @ X ) )
= ( ord_less_eq_nat @ ( power_power_nat @ B @ W ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(644,plain,
( ( ! [Y: nat,X: num,N: nat] :
( ( ( semiri2019852685at_int @ Y )
= ( power_power_int @ ( numeral_numeral_int @ X ) @ N ) )
= ( Y
= ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(645,plain,
( ( ! [X: num,N: nat,Y: nat] :
( ( ( power_power_int @ ( numeral_numeral_int @ X ) @ N )
= ( semiri2019852685at_int @ Y ) )
= ( ( power_power_nat @ ( numeral_numeral_nat @ X ) @ N )
= Y ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(646,plain,
( ( ! [X: real,A: nat] :
( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ X ) ) @ A )
= ( ord_less_eq_real @ X @ ( semiri2110766477t_real @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(647,plain,
( ( one_one_nat
= ( nat2 @ one_one_int ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(648,plain,
( ( ! [I2: nat,J: nat] :
( ( ord_less_eq_nat @ I2 @ J )
=> ( ord_less_eq_int @ ( semiri2019852685at_int @ I2 ) @ ( semiri2019852685at_int @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(649,plain,
( ( ( numeral_numeral_nat @ one )
= one_one_nat )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(650,plain,
( ( ! [R: real] : ( ord_less_eq_real @ R @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(651,plain,
( ( ! [X: real] : ( ord_less_eq_real @ X @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(652,plain,
( ( ! [M: nat,N: nat] :
( ( M
= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ N ) )
=> ( ( semiri2110766477t_real @ N )
= ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ M ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(653,plain,
( ( ! [A: int,N: nat] :
( ( ord_less_eq_int @ one_one_int @ A )
=> ( ord_less_eq_int @ one_one_int @ ( power_power_int @ A @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(654,plain,
( ( ! [F: nat > int,N: nat,N4: nat] :
( ! [N3: nat] : ( ord_less_eq_int @ ( F @ ( suc @ N3 ) ) @ ( F @ N3 ) )
=> ( ( ord_less_eq_nat @ N @ N4 )
=> ( ord_less_eq_int @ ( F @ N4 ) @ ( F @ N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(655,plain,
( ( ! [F: nat > int,N: nat,N4: nat] :
( ! [N3: nat] : ( ord_less_eq_int @ ( F @ N3 ) @ ( F @ ( suc @ N3 ) ) )
=> ( ( ord_less_eq_nat @ N @ N4 )
=> ( ord_less_eq_int @ ( F @ N ) @ ( F @ N4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(656,plain,
( ( ! [N: nat,N5: nat,A: int] :
( ( ord_less_eq_nat @ N @ N5 )
=> ( ( ord_less_eq_int @ one_one_int @ A )
=> ( ord_less_eq_int @ ( power_power_int @ A @ N ) @ ( power_power_int @ A @ N5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(657,plain,
( ( ( power_power_int @ one_one_int @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_int )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(658,plain,
( ( ( power_power_nat @ one_one_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_nat )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(659,plain,
( ( ( power_power_real @ one_one_real @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= one_one_real )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(660,plain,
( ( ( neg_numeral_dbl_int @ one_one_int )
= ( numeral_numeral_int @ ( bit0 @ one ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(661,plain,
( ( ( neg_numeral_dbl_real @ one_one_real )
= ( numeral_numeral_real @ ( bit0 @ one ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(662,plain,
( ( ! [K: num,L: num] :
( ( power_power_int @ ( numeral_numeral_int @ K ) @ ( numeral_numeral_nat @ L ) )
= ( numeral_numeral_int @ ( pow @ K @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(663,plain,
( ( ! [K: num,L: num] :
( ( power_power_real @ ( numeral_numeral_real @ K ) @ ( numeral_numeral_nat @ L ) )
= ( numeral_numeral_real @ ( pow @ K @ L ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(664,plain,
( ( ! [X: int] : ( ord_less_eq_int @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(665,plain,
( ( ! [X: int,Y: int] :
( ( ord_less_eq_int @ zero_zero_int @ X )
=> ( ( ord_less_eq_int @ zero_zero_int @ Y )
=> ( ( ( power_power_int @ X @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ Y @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( X = Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(666,plain,
( ( ord_less_int @ zero_zero_int @ d )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(667,plain,
( ( ! [A: int] :
( ( power_power_int @ A @ ( suc @ zero_zero_nat ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(668,plain,
( ( ( ring_1_of_int_real @ zero_zero_int )
= zero_zero_real )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(669,plain,
( ( ! [Z: int] :
( ( zero_zero_real
= ( ring_1_of_int_real @ Z ) )
= ( Z = zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(670,plain,
( ( ! [Z: int] :
( ( ( ring_1_of_int_real @ Z )
= zero_zero_real )
= ( Z = zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(671,plain,
( ( ( archim1371465213g_real @ zero_zero_real )
= zero_zero_int )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(672,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ Z @ zero_zero_int )
=> ( ( nat2 @ Z )
= zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(673,plain,
( ( ! [I2: int] :
( ( ( nat2 @ I2 )
= zero_zero_nat )
= ( ord_less_eq_int @ I2 @ zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(674,plain,
( ( ! [N: nat] :
( ( nat2 @ ( semiri2019852685at_int @ N ) )
= N ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(675,plain,
( ( ! [M: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ zero_zero_int )
= ( M = zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(676,plain,
( ( ! [N: nat] :
( ( power_power_int @ zero_zero_int @ ( suc @ N ) )
= zero_zero_int ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(677,plain,
( ( ! [K: num] :
( ( power_power_int @ zero_zero_int @ ( numeral_numeral_nat @ K ) )
= zero_zero_int ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(678,plain,
( ( ( nat2 @ one_one_int )
= ( suc @ zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(679,plain,
( ( ! [M: nat,V: num] :
( ( ( semiri2019852685at_int @ M )
= ( numeral_numeral_int @ V ) )
= ( M
= ( numeral_numeral_nat @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(680,plain,
( ( ! [A: real] :
( ( log @ A @ one_one_real )
= zero_zero_real ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(681,plain,
( ( ! [Z: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= Z ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= zero_zero_int ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(682,plain,
( ( ! [K: num] :
( ( neg_numeral_dbl_int @ ( numeral_numeral_int @ K ) )
= ( numeral_numeral_int @ ( bit0 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(683,plain,
( ( ! [K: num] :
( ( neg_numeral_dbl_real @ ( numeral_numeral_real @ K ) )
= ( numeral_numeral_real @ ( bit0 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(684,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ Z ) )
= ( ord_less_eq_int @ zero_zero_int @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(685,plain,
( ( ! [Z: int] :
( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ Z ) )
= ( ord_less_eq_int @ zero_zero_int @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(686,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ Z ) @ zero_zero_int )
= ( ord_less_eq_int @ Z @ zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(687,plain,
( ( ! [Z: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ Z ) @ zero_zero_real )
= ( ord_less_eq_int @ Z @ zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(688,plain,
( ( ! [X: real] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ X ) @ zero_zero_int )
= ( ord_less_eq_real @ X @ zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(689,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2110766477t_real @ ( nat2 @ Z ) )
= ( ring_1_of_int_real @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(690,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= ( ring_1_of_int_int @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(691,plain,
( ( ! [A: int] :
( ( ( power_power_int @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= ( A = zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(692,plain,
( ( ! [A: nat] :
( ( ( power_power_nat @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= ( A = zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(693,plain,
( ( ! [A: real] :
( ( ( power_power_real @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= ( A = zero_zero_real ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(694,plain,
( ( ! [A: int] :
( ( ord_less_eq_int @ ( power_power_int @ A @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= ( A = zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(695,plain,
( ( ! [K: int] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ? [N3: nat] :
( K
= ( semiri2019852685at_int @ N3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(696,plain,
( ( ! [K: int] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ~ ! [N3: nat] :
( K
!= ( semiri2019852685at_int @ N3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(697,plain,
( ( ! [M: nat,W: int] :
( ( M
= ( nat2 @ W ) )
= ( ( ( ord_less_eq_int @ zero_zero_int @ W )
=> ( W
= ( semiri2019852685at_int @ M ) ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ W )
=> ( M = zero_zero_nat ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(698,plain,
( ( ! [W: int,M: nat] :
( ( ( nat2 @ W )
= M )
= ( ( ( ord_less_eq_int @ zero_zero_int @ W )
=> ( W
= ( semiri2019852685at_int @ M ) ) )
& ( ~ ( ord_less_eq_int @ zero_zero_int @ W )
=> ( M = zero_zero_nat ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(699,plain,
( ( zero_zero_nat
= ( nat2 @ zero_zero_int ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(700,plain,
( ( ! [N: nat] :
( ( ( N = zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ N )
= one_one_int ) )
& ( ( N != zero_zero_nat )
=> ( ( power_power_int @ zero_zero_int @ N )
= zero_zero_int ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(701,plain,
( ( ! [Z: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( semiri2019852685at_int @ ( nat2 @ Z ) )
= Z ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(702,plain,
( ( ! [M: nat,Z: int] :
( ( ( semiri2019852685at_int @ M )
= Z )
= ( ( M
= ( nat2 @ Z ) )
& ( ord_less_eq_int @ zero_zero_int @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(703,plain,
( ( ord_less_eq_int @ zero_zero_int @ zero_zero_int )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(704,plain,
( ( ! [N: num] :
( zero_zero_int
!= ( numeral_numeral_int @ N ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(705,plain,
( ( ! [N: num] :
( zero_zero_real
!= ( numeral_numeral_real @ N ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(706,plain,
( ( ! [A: int,N: nat] :
( ( A != zero_zero_int )
=> ( ( power_power_int @ A @ N )
!= zero_zero_int ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(707,plain,
( ( ord_less_eq_int @ zero_zero_int @ zero_zero_int )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(708,plain,
( ( ! [K: int,N: nat] :
( ( ord_less_eq_int @ zero_zero_int @ K )
=> ( ( ord_less_eq_nat @ N @ ( nat2 @ K ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ N ) @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(709,plain,
( ( ord_less_eq_nat
= ( ^ [A3: nat,B2: nat] : ( ord_less_eq_int @ ( semiri2019852685at_int @ A3 ) @ ( semiri2019852685at_int @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(710,plain,
( ( ! [M: nat,N: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ M ) @ ( semiri2019852685at_int @ N ) )
= ( ord_less_eq_nat @ M @ N ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(711,plain,
( ( ! [N: num] :
( ( semiri2019852685at_int @ ( numeral_numeral_nat @ N ) )
= ( numeral_numeral_int @ N ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(712,plain,
( ( ( ^ [P2: nat > $o] :
? [X6: nat] : ( P2 @ X6 ) )
= ( ^ [P3: nat > $o] :
? [X3: int] :
( ( ord_less_eq_int @ zero_zero_int @ X3 )
& ( P3 @ ( nat2 @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(713,plain,
( ( ( ^ [P2: nat > $o] :
! [X6: nat] : ( P2 @ X6 ) )
= ( ^ [P3: nat > $o] :
! [X3: int] :
( ( ord_less_eq_int @ zero_zero_int @ X3 )
=> ( P3 @ ( nat2 @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(714,plain,
( ( ! [Z: int,Z5: int] :
( ( ord_less_eq_int @ zero_zero_int @ Z )
=> ( ( ord_less_eq_int @ zero_zero_int @ Z5 )
=> ( ( ( nat2 @ Z )
= ( nat2 @ Z5 ) )
= ( Z = Z5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(715,plain,
( ( ! [X: num] :
( ( pow @ X @ one )
= X ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(716,plain,
( ( ! [X: int,N: nat] :
( ( ord_less_eq_nat @ ( nat2 @ X ) @ N )
= ( ord_less_eq_int @ X @ ( semiri2019852685at_int @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(717,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(718,plain,
( ( ~ ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[537]) ).
thf(719,plain,
( ( ! [SX0: int,SX1: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ~ ( ord_less_eq_int @ zero_zero_int @ SX1 )
| ( ( ( nat2 @ SX0 )
= ( nat2 @ SX1 ) )
= ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[714]) ).
thf(720,plain,
( ( ! [SX0: nat,SX1: nat] :
( ( SX0
!= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SX1 ) )
| ( ( semiri2110766477t_real @ SX1 )
= ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[652]) ).
thf(721,plain,
( ( ! [SX0: nat,SX1: nat] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SX0 ) @ ( semiri2019852685at_int @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[648]) ).
thf(722,plain,
( ( ! [SX0: nat,SX1: nat] :
( ~ ( ord_less_eq_nat @ ( power_power_nat @ SX0 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ SX1 )
| ( ord_less_eq_nat @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[630]) ).
thf(723,plain,
( ( ! [SX0: num] :
( zero_zero_int
!= ( numeral_numeral_int @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[704]) ).
thf(724,plain,
( ( ! [SX0: nat] :
~ ( ~ ( ( SX0 != zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ SX0 )
= one_one_int ) )
| ~ ( ~ ( ( SX0 != zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ SX0 )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[700]) ).
thf(725,plain,
( ( ! [SX0: int,SX1: nat] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ( ( ord_less_eq_nat @ SX1 @ ( nat2 @ SX0 ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SX1 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[708]) ).
thf(726,plain,
( ( ! [SX0: num] :
( zero_zero_real
!= ( numeral_numeral_real @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[705]) ).
thf(727,plain,
( ( ! [SX0: nat,SX1: nat,SX2: int] :
( ~ ( ord_less_eq_nat @ SX0 @ SX1 )
| ~ ( ord_less_eq_int @ one_one_int @ SX2 )
| ( ord_less_eq_int @ ( power_power_int @ SX2 @ SX0 ) @ ( power_power_int @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[656]) ).
thf(728,plain,
( ( ( ^ [SX0: nat > $o] :
! [SX1: nat] : ( SX0 @ SX1 ) )
= ( ^ [SX0: nat > $o] :
! [SX1: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX1 )
| ( SX0 @ ( nat2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[713]) ).
thf(729,plain,
( ( ! [SX0: int] :
( ~ ( ord_less_eq_int @ SX0 @ zero_zero_int )
| ( ( nat2 @ SX0 )
= zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[672]) ).
thf(730,plain,
( ( ( ^ [SX0: nat > $o] :
~ ! [SX1: nat] :
~ ( SX0 @ SX1 ) )
= ( ^ [SX0: nat > $o] :
~ ! [SX1: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SX1 )
| ~ ( SX0 @ ( nat2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[712]) ).
thf(731,plain,
( ( ! [SX0: int,SX1: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ~ ( ord_less_eq_int @ zero_zero_int @ SX1 )
| ( ( ( power_power_int @ SX0 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SX1 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[665]) ).
thf(732,plain,
( ( ! [SX0: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ~ ! [SX1: nat] :
( SX0
!= ( semiri2019852685at_int @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[695]) ).
thf(733,plain,
( ( ! [SX0: int,SX1: int] :
( ~ ( ord_less_eq_int @ SX0 @ SX1 )
| ( ord_less_eq_nat @ ( nat2 @ SX0 ) @ ( nat2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[577]) ).
thf(734,plain,
( ( ! [SX0: nat,SX1: nat] :
( ~ ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SX0 )
| ( ord_less_eq_nat @ SX1 @ ( power_power_nat @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[628]) ).
thf(735,plain,
( ( ! [SX0: num] :
( ( bit0 @ SX0 )
!= one ) )
= $true ),
inference(unfold_def,[status(thm)],[586]) ).
thf(736,plain,
( ( ! [SX0: nat,SX1: int] :
( ( SX0
= ( nat2 @ SX1 ) )
= ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SX1 )
| ( SX1
= ( semiri2019852685at_int @ SX0 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SX1 )
| ( SX0 = zero_zero_nat ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[697]) ).
thf(737,plain,
( ( ! [SX0: int,SX1: nat] :
( ( ( nat2 @ SX0 )
= SX1 )
= ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ( SX0
= ( semiri2019852685at_int @ SX1 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ( SX1 = zero_zero_nat ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[698]) ).
thf(738,plain,
( ( ! [SX0: real,SX1: int] :
( ~ ( ord_less_eq_real @ SX0 @ ( ring_1_of_int_real @ SX1 ) )
| ( ord_less_eq_int @ ( archim1371465213g_real @ SX0 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[582]) ).
thf(739,plain,
( ( ! [SX0: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ~ ! [SX1: nat] :
( SX0
!= ( semiri2019852685at_int @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[696]) ).
thf(740,plain,
( ( ! [SX0: int,SX1: nat] :
( ~ ( ord_less_eq_int @ one_one_int @ SX0 )
| ( ord_less_eq_int @ one_one_int @ ( power_power_int @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[653]) ).
thf(741,plain,
( ( ! [SX0: nat > int,SX1: nat,SX2: nat] :
( ~ ! [SX3: nat] : ( ord_less_eq_int @ ( SX0 @ SX3 ) @ ( SX0 @ ( suc @ SX3 ) ) )
| ~ ( ord_less_eq_nat @ SX1 @ SX2 )
| ( ord_less_eq_int @ ( SX0 @ SX1 ) @ ( SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[655]) ).
thf(742,plain,
( ( ! [SX0: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ( ( semiri2019852685at_int @ ( nat2 @ SX0 ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[701]) ).
thf(743,plain,
( ( ! [SX0: nat,SX1: int] :
( ( ( semiri2019852685at_int @ SX0 )
= SX1 )
= ( ~ ( ( SX0
!= ( nat2 @ SX1 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[702]) ).
thf(744,plain,
( ( ! [SX0: int,SX1: nat] :
( ~ ( ( SX0 != zero_zero_int ) )
| ( ( power_power_int @ SX0 @ SX1 )
!= zero_zero_int ) ) )
= $true ),
inference(unfold_def,[status(thm)],[706]) ).
thf(745,plain,
( ( ! [SX0: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ( ( semiri2019852685at_int @ ( nat2 @ SX0 ) )
= ( ring_1_of_int_int @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[690]) ).
thf(746,plain,
( ( ! [SX0: int] :
~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ( ( semiri2019852685at_int @ ( nat2 @ SX0 ) )
= SX0 ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ( ( semiri2019852685at_int @ ( nat2 @ SX0 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[681]) ).
thf(747,plain,
( ( ! [SX0: real] :
~ ! [SX1: int] :
~ ( ord_less_eq_real @ SX0 @ ( ring_1_of_int_real @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[578]) ).
thf(748,plain,
( ( ! [SX0: num] :
( one
!= ( bit0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[623]) ).
thf(749,plain,
( ( ! [SX0: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX0 )
| ( ( semiri2110766477t_real @ ( nat2 @ SX0 ) )
= ( ring_1_of_int_real @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[689]) ).
thf(750,plain,
( ( ! [SX0: real,SX1: real] :
( ~ ( ord_less_eq_real @ SX0 @ SX1 )
| ( ord_less_eq_int @ ( archim1371465213g_real @ SX0 ) @ ( archim1371465213g_real @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[580]) ).
thf(751,plain,
( ( ! [SX0: real] :
( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SX0 ) )
= SX0 )
= ( ~ ! [SX1: int] :
( SX0
!= ( ring_1_of_int_real @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[563]) ).
thf(752,plain,
( ( ! [SX0: num] :
( one
!= ( bit0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[585]) ).
thf(753,plain,
( ( ! [SX0: nat > int,SX1: nat,SX2: nat] :
( ~ ! [SX3: nat] : ( ord_less_eq_int @ ( SX0 @ ( suc @ SX3 ) ) @ ( SX0 @ SX3 ) )
| ~ ( ord_less_eq_nat @ SX1 @ SX2 )
| ( ord_less_eq_int @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[654]) ).
thf(754,plain,
! [SV1: num] :
( ( ! [SY273: nat,SY274: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SY273 ) @ ( ring_1_of_int_int @ SY274 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SY273 ) @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(755,plain,
! [SV2: num] :
( ( ! [SY275: nat,SY276: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SY275 ) @ ( ring_1_of_int_real @ SY276 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SY275 ) @ SY276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(756,plain,
! [SV3: int] :
( ( ! [SY277: num,SY278: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SY277 ) @ SY278 ) )
= ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SY277 ) @ SY278 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(757,plain,
! [SV4: int] :
( ( ! [SY279: num,SY280: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SY279 ) @ SY280 ) )
= ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SY279 ) @ SY280 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(758,plain,
! [SV5: num] :
( ( ! [SY281: nat] :
( ( archim1371465213g_real @ ( power_power_real @ ( numeral_numeral_real @ SV5 ) @ SY281 ) )
= ( power_power_int @ ( numeral_numeral_int @ SV5 ) @ SY281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(759,plain,
! [SV6: num] :
( ( ! [SY282: nat,SY283: int] :
( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SY282 )
= ( ring_1_of_int_int @ SY283 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SY282 )
= SY283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(760,plain,
! [SV7: num] :
( ( ! [SY284: nat,SY285: int] :
( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SY284 )
= ( ring_1_of_int_real @ SY285 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SY284 )
= SY285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(761,plain,
! [SV8: int] :
( ( ! [SY286: num,SY287: nat] :
( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SY286 ) @ SY287 ) )
= ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SY286 ) @ SY287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(762,plain,
! [SV9: int] :
( ( ! [SY288: num,SY289: nat] :
( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SY288 ) @ SY289 ) )
= ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SY288 ) @ SY289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(763,plain,
! [SV10: int] :
( ( ! [SY290: nat,SY291: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SY290 ) @ ( ring_1_of_int_int @ SY291 ) )
= ( ord_less_eq_int @ ( power_power_int @ SV10 @ SY290 ) @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(764,plain,
! [SV11: int] :
( ( ! [SY292: nat,SY293: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SY292 ) @ ( ring_1_of_int_real @ SY293 ) )
= ( ord_less_eq_int @ ( power_power_int @ SV11 @ SY292 ) @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(765,plain,
! [SV12: int] :
( ( ! [SY294: int,SY295: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SY294 ) @ SY295 ) )
= ( ord_less_eq_int @ SV12 @ ( power_power_int @ SY294 @ SY295 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(766,plain,
! [SV13: int] :
( ( ! [SY296: int,SY297: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SY296 ) @ SY297 ) )
= ( ord_less_eq_int @ SV13 @ ( power_power_int @ SY296 @ SY297 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(767,plain,
! [SV14: real] :
( ( ! [SY298: num] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SY298 ) )
= ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SY298 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(768,plain,
! [SV15: int] :
( ( ! [SY299: num] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SY299 ) )
= ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(769,plain,
! [SV16: int] :
( ( ! [SY300: num] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SY300 ) )
= ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SY300 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(770,plain,
! [SV17: num] :
( ( ! [SY301: int] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SY301 ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(771,plain,
! [SV18: num] :
( ( ! [SY302: int] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SY302 ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SY302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(772,plain,
! [SV19: int] :
( ( ! [SY303: nat] :
( ( ring_1_of_int_int @ ( power_power_int @ SV19 @ SY303 ) )
= ( power_power_int @ ( ring_1_of_int_int @ SV19 ) @ SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(773,plain,
! [SV20: int] :
( ( ! [SY304: nat] :
( ( ring_1_of_int_real @ ( power_power_int @ SV20 @ SY304 ) )
= ( power_power_real @ ( ring_1_of_int_real @ SV20 ) @ SY304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(774,plain,
! [SV21: int] :
( ( ! [SY305: nat,SY306: int] :
( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SY305 )
= ( ring_1_of_int_int @ SY306 ) )
= ( ( power_power_int @ SV21 @ SY305 )
= SY306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(775,plain,
! [SV22: int] :
( ( ! [SY307: nat,SY308: int] :
( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SY307 )
= ( ring_1_of_int_real @ SY308 ) )
= ( ( power_power_int @ SV22 @ SY307 )
= SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(776,plain,
! [SV23: int] :
( ( ! [SY309: int] :
( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SY309 ) )
= ( SV23 = SY309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(777,plain,
! [SV24: num] :
( ( ( nat2 @ ( numeral_numeral_int @ SV24 ) )
= ( numeral_numeral_nat @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(778,plain,
! [SV25: int] :
( ( ( archim1371465213g_real @ ( ring_1_of_int_real @ SV25 ) )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(779,plain,
! [SV26: int] :
( ( ! [SY310: int] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SY310 ) )
= ( ord_less_eq_int @ SV26 @ SY310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(780,plain,
! [SV27: int] :
( ( ! [SY311: int] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SY311 ) )
= ( ord_less_eq_int @ SV27 @ SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(781,plain,
! [SV28: num] :
( ( ( ring_1_of_int_int @ ( numeral_numeral_int @ SV28 ) )
= ( numeral_numeral_int @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(782,plain,
! [SV29: num] :
( ( ( ring_1_of_int_real @ ( numeral_numeral_int @ SV29 ) )
= ( numeral_numeral_real @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(783,plain,
! [SV30: int] :
( ( ! [SY312: num] :
( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SY312 ) )
= ( SV30
= ( numeral_numeral_int @ SY312 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(784,plain,
! [SV31: int] :
( ( ! [SY313: num] :
( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SY313 ) )
= ( SV31
= ( numeral_numeral_int @ SY313 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(785,plain,
! [SV32: num] :
( ( ( archim1371465213g_real @ ( numeral_numeral_real @ SV32 ) )
= ( numeral_numeral_int @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(786,plain,
! [SV33: int] :
( ( ! [SY314: int,SY315: nat] :
( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SY314 ) @ SY315 ) )
= ( SV33
= ( power_power_int @ SY314 @ SY315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(787,plain,
! [SV34: int] :
( ( ! [SY316: int,SY317: nat] :
( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SY316 ) @ SY317 ) )
= ( SV34
= ( power_power_int @ SY316 @ SY317 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(788,plain,
! [SV35: num] :
( ( ! [SY318: nat,SY319: int] :
( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SY318 )
= ( nat2 @ SY319 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SY318 )
= SY319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(789,plain,
! [SV36: int] :
( ( ! [SY320: num,SY321: nat] :
( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SY320 ) @ SY321 ) )
= ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SY320 ) @ SY321 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(790,plain,
! [SV37: num] :
( ( ! [SY322: nat,SY323: int] :
( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SY322 ) @ ( nat2 @ SY323 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SY322 ) @ SY323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(791,plain,
! [SV38: int] :
( ( ! [SY324: num,SY325: nat] :
( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SY324 ) @ SY325 ) )
= ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SY324 ) @ SY325 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(792,plain,
! [SV39: real] :
( ( ord_less_eq_real @ SV39 @ ( ring_1_of_int_real @ ( archim1371465213g_real @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(793,plain,
! [SV40: real] :
( ( ! [SY326: int] :
( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SY326 )
= ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SY326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(794,plain,
! [SV41: num] :
( ( ~ ( ord_less_eq_num @ ( bit0 @ SV41 ) @ one ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(795,plain,
! [SV42: num] :
( ( ! [SY327: num] :
( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SY327 ) )
= ( ord_less_eq_num @ SV42 @ SY327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(796,plain,
! [SV43: num] :
( ( ! [SY328: num] :
( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SY328 ) )
= ( ord_less_eq_num @ SV43 @ SY328 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(797,plain,
! [SV44: num] :
( ( ord_less_eq_num @ one @ SV44 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(798,plain,
! [SV45: num] :
( ( ! [SY329: num] :
( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SY329 ) )
= ( ord_less_eq_num @ SV45 @ SY329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(799,plain,
! [SV46: num] :
( ( ! [SY330: num] :
( ( ( bit0 @ SV46 )
= ( bit0 @ SY330 ) )
= ( SV46 = SY330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(800,plain,
! [SV47: num] :
( ( ! [SY331: num] :
( ( ( bit0 @ SV47 )
= ( bit0 @ SY331 ) )
= ( SV47 = SY331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(801,plain,
! [SV48: num] :
( ( ! [SY332: num] :
( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SY332 ) )
= ( SV48 = SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(802,plain,
! [SV49: num] :
( ( ! [SY333: num] :
( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SY333 ) )
= ( SV49 = SY333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(803,plain,
! [SV50: int] :
( ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= ( SV50 = one_one_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(804,plain,
! [SV51: num] :
( ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= ( SV51 = one ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(805,plain,
! [SV52: num] :
( ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= ( SV52 = one ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(806,plain,
! [SV53: num] :
( ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= ( SV53 = one ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(807,plain,
! [SV54: num] :
( ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= ( one = SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(808,plain,
! [SV55: num] :
( ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= ( one = SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(809,plain,
! [SV56: num] :
( ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= ( one = SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(810,plain,
! [SV57: int] :
( ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= ( ord_less_eq_int @ one_one_int @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(811,plain,
! [SV58: int] :
( ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= ( ord_less_eq_int @ one_one_int @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(812,plain,
! [SV59: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= ( ord_less_eq_int @ SV59 @ one_one_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(813,plain,
! [SV60: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= ( ord_less_eq_int @ SV60 @ one_one_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(814,plain,
! [SV61: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= ( ord_less_eq_real @ SV61 @ one_one_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(815,plain,
! [SV62: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= ( ord_less_eq_num @ SV62 @ one ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(816,plain,
! [SV63: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= ( ord_less_eq_num @ SV63 @ one ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(817,plain,
! [SV64: num] :
( ( ord_less_eq_int @ one_one_int @ ( numeral_numeral_int @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(818,plain,
! [SV65: num] :
( ( ord_less_eq_real @ one_one_real @ ( numeral_numeral_real @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(819,plain,
! [SV66: int] :
( ( ! [SY334: int] :
( ( SV66 = SY334 )
| ~ ( ord_less_eq_int @ SV66 @ SY334 )
| ~ ( ord_less_eq_int @ SY334 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(820,plain,
! [SV67: num] :
( ( ( ord_less_eq_num @ SV67 @ one )
= ( SV67 = one ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(821,plain,
! [SV68: nat] :
( ( ord_less_eq_real @ one_one_real @ ( power_power_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(822,plain,
! [SV69: int] :
( ( ! [SY335: int] :
( ( ord_less_eq_int @ SV69 @ SY335 )
| ( SV69 = SY335 )
| ( ord_less_eq_int @ SY335 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(823,plain,
( ( ! [SV70: num] :
( ( numeral_numeral_nat @ SV70 )
= ( nat2 @ ( numeral_numeral_int @ SV70 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(824,plain,
( ( numeral_numeral_nat
= ( ^ [I: num] : ( nat2 @ ( numeral_numeral_int @ I ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(825,plain,
! [SV71: num] :
( ( ! [SY336: num] :
( ( powr_real @ ( numeral_numeral_real @ SV71 ) @ ( numeral_numeral_real @ SY336 ) )
= ( power_power_real @ ( numeral_numeral_real @ SV71 ) @ ( numeral_numeral_nat @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(826,plain,
! [SV72: nat] :
( ( ! [SY337: nat] :
( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SY337 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( ord_less_eq_nat @ SV72 @ SY337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(827,plain,
! [SV73: int] :
( ( ( power_power_int @ SV73 @ one_one_nat )
= SV73 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(828,plain,
! [SV74: nat] :
( ( ( power_power_int @ one_one_int @ SV74 )
= one_one_int )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(829,plain,
! [SV75: nat] :
( ( ( ring_1_of_int_real @ ( semiri2019852685at_int @ SV75 ) )
= ( semiri2110766477t_real @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(830,plain,
! [SV76: nat] :
( ( ( archim1371465213g_real @ ( semiri2110766477t_real @ SV76 ) )
= ( semiri2019852685at_int @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(831,plain,
! [SV77: nat] :
( ( ! [SY338: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SY338 ) )
= ( ord_less_eq_nat @ SV77 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(832,plain,
! [SV78: num] :
( ( ( semiri2110766477t_real @ ( numeral_numeral_nat @ SV78 ) )
= ( numeral_numeral_real @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(833,plain,
! [SV79: num] :
( ( ( semiri2019852685at_int @ ( numeral_numeral_nat @ SV79 ) )
= ( numeral_numeral_int @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(834,plain,
! [SV80: nat] :
( ( ! [SY339: nat,SY340: nat] :
( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SY339 ) @ SY340 ) )
= ( SV80
= ( power_power_nat @ SY339 @ SY340 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(835,plain,
! [SV81: nat] :
( ( ! [SY341: nat,SY342: nat] :
( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SY341 )
= ( semiri2019852685at_int @ SY342 ) )
= ( ( power_power_nat @ SV81 @ SY341 )
= SY342 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(836,plain,
! [SV82: nat] :
( ( ! [SY343: nat] :
( ( semiri2019852685at_int @ ( power_power_nat @ SV82 @ SY343 ) )
= ( power_power_int @ ( semiri2019852685at_int @ SV82 ) @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(837,plain,
! [SV83: nat] :
( ( ! [SY344: nat,SY345: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SY344 ) @ SY345 ) )
= ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SY344 @ SY345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(838,plain,
! [SV84: nat] :
( ( ! [SY346: nat,SY347: nat] :
( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SY346 ) @ ( semiri2019852685at_int @ SY347 ) )
= ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SY346 ) @ SY347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(839,plain,
! [SV85: nat] :
( ( ! [SY348: num,SY349: nat] :
( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SY348 ) @ SY349 ) )
= ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SY348 ) @ SY349 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(840,plain,
! [SV86: num] :
( ( ! [SY350: nat,SY351: nat] :
( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SY350 )
= ( semiri2019852685at_int @ SY351 ) )
= ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SY350 )
= SY351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(841,plain,
! [SV87: real] :
( ( ! [SY352: nat] :
( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SY352 )
= ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SY352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(842,plain,
! [SV88: real] :
( ( ord_less_eq_real @ SV88 @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(843,plain,
! [SV89: real] :
( ( ord_less_eq_real @ SV89 @ ( semiri2110766477t_real @ ( nat2 @ ( archim1371465213g_real @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(844,plain,
! [SV90: num] :
( ( ! [SY353: num] :
( ( power_power_int @ ( numeral_numeral_int @ SV90 ) @ ( numeral_numeral_nat @ SY353 ) )
= ( numeral_numeral_int @ ( pow @ SV90 @ SY353 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(845,plain,
! [SV91: num] :
( ( ! [SY354: num] :
( ( power_power_real @ ( numeral_numeral_real @ SV91 ) @ ( numeral_numeral_nat @ SY354 ) )
= ( numeral_numeral_real @ ( pow @ SV91 @ SY354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(846,plain,
! [SV92: int] :
( ( ord_less_eq_int @ SV92 @ SV92 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(847,plain,
! [SV93: int] :
( ( ( power_power_int @ SV93 @ ( suc @ zero_zero_nat ) )
= SV93 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(848,plain,
! [SV94: int] :
( ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= ( SV94 = zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(849,plain,
! [SV95: int] :
( ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= ( SV95 = zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(850,plain,
! [SV96: int] :
( ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= ( ord_less_eq_int @ SV96 @ zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(851,plain,
! [SV97: nat] :
( ( ( nat2 @ ( semiri2019852685at_int @ SV97 ) )
= SV97 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(852,plain,
! [SV98: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= ( SV98 = zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(853,plain,
! [SV99: nat] :
( ( ( power_power_int @ zero_zero_int @ ( suc @ SV99 ) )
= zero_zero_int )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(854,plain,
! [SV100: num] :
( ( ( power_power_int @ zero_zero_int @ ( numeral_numeral_nat @ SV100 ) )
= zero_zero_int )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(855,plain,
! [SV101: nat] :
( ( ! [SY355: num] :
( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SY355 ) )
= ( SV101
= ( numeral_numeral_nat @ SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(856,plain,
! [SV102: real] :
( ( ( log @ SV102 @ one_one_real )
= zero_zero_real )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(857,plain,
! [SV103: num] :
( ( ( neg_numeral_dbl_int @ ( numeral_numeral_int @ SV103 ) )
= ( numeral_numeral_int @ ( bit0 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(858,plain,
! [SV104: num] :
( ( ( neg_numeral_dbl_real @ ( numeral_numeral_real @ SV104 ) )
= ( numeral_numeral_real @ ( bit0 @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(859,plain,
! [SV105: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= ( ord_less_eq_int @ zero_zero_int @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(860,plain,
! [SV106: int] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= ( ord_less_eq_int @ zero_zero_int @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(861,plain,
! [SV107: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= ( ord_less_eq_int @ SV107 @ zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(862,plain,
! [SV108: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= ( ord_less_eq_int @ SV108 @ zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(863,plain,
! [SV109: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= ( ord_less_eq_real @ SV109 @ zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(864,plain,
! [SV110: int] :
( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= ( SV110 = zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(865,plain,
! [SV111: nat] :
( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= ( SV111 = zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(866,plain,
! [SV112: real] :
( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= ( SV112 = zero_zero_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(867,plain,
! [SV113: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= ( SV113 = zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(868,plain,
( ( ! [SV114: nat] :
( ( ord_less_eq_nat @ SV114 )
= ( ^ [SY356: nat] : ( ord_less_eq_int @ ( semiri2019852685at_int @ SV114 ) @ ( semiri2019852685at_int @ SY356 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(869,plain,
( ( ord_less_eq_nat
= ( ^ [A3: nat,B2: nat] : ( ord_less_eq_int @ ( semiri2019852685at_int @ A3 ) @ ( semiri2019852685at_int @ B2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(870,plain,
! [SV115: nat] :
( ( ! [SY357: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SY357 ) )
= ( ord_less_eq_nat @ SV115 @ SY357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(871,plain,
! [SV116: num] :
( ( ( semiri2019852685at_int @ ( numeral_numeral_nat @ SV116 ) )
= ( numeral_numeral_int @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(872,plain,
! [SV117: num] :
( ( ( pow @ SV117 @ one )
= SV117 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(873,plain,
! [SV118: int] :
( ( ! [SY358: nat] :
( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SY358 )
= ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SY358 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(874,plain,
! [SV119: $o] :
( ( ( SV119 = $true )
| ( SV119 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[717]) ).
thf(875,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[717]) ).
thf(876,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[717]) ).
thf(877,plain,
( ( ord_less_eq_int @ d @ ( power_power_int @ ( numeral_numeral_int @ ( bit0 @ one ) ) @ ( nat2 @ ( archim1371465213g_real @ ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ d ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(878,plain,
! [SV120: int] :
( ( ! [SY359: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SV120 )
| ~ ( ord_less_eq_int @ zero_zero_int @ SY359 )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SY359 ) )
= ( SV120 = SY359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(879,plain,
! [SV121: nat] :
( ( ! [SY360: nat] :
( ( SV121
!= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SY360 ) )
| ( ( semiri2110766477t_real @ SY360 )
= ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ SV121 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(880,plain,
! [SV122: nat] :
( ( ! [SY361: nat] :
( ~ ( ord_less_eq_nat @ SV122 @ SY361 )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SV122 ) @ ( semiri2019852685at_int @ SY361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(881,plain,
! [SV123: nat] :
( ( ! [SY362: nat] :
( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV123 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ SY362 )
| ( ord_less_eq_nat @ SV123 @ SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(882,plain,
! [SV124: num] :
( ( zero_zero_int
!= ( numeral_numeral_int @ SV124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(883,plain,
! [SV125: nat] :
( ( ~ ( ~ ( ( SV125 != zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ SV125 )
= one_one_int ) )
| ~ ( ~ ( ( SV125 != zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ SV125 )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(884,plain,
! [SV126: int] :
( ( ! [SY363: nat] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SV126 )
| ( ( ord_less_eq_nat @ SY363 @ ( nat2 @ SV126 ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SY363 ) @ SV126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(885,plain,
! [SV127: num] :
( ( zero_zero_real
!= ( numeral_numeral_real @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(886,plain,
! [SV128: nat] :
( ( ! [SY364: nat,SY365: int] :
( ~ ( ord_less_eq_nat @ SV128 @ SY364 )
| ~ ( ord_less_eq_int @ one_one_int @ SY365 )
| ( ord_less_eq_int @ ( power_power_int @ SY365 @ SV128 ) @ ( power_power_int @ SY365 @ SY364 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(887,plain,
( ( ! [SV129: nat > $o] :
( ( ! [SY366: nat] : ( SV129 @ SY366 ) )
= ( ! [SY367: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY367 )
| ( SV129 @ ( nat2 @ SY367 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(888,plain,
( ( ( ^ [SX0: nat > $o] :
! [SX1: nat] : ( SX0 @ SX1 ) )
= ( ^ [SX0: nat > $o] :
! [SX1: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SX1 )
| ( SX0 @ ( nat2 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(889,plain,
! [SV130: int] :
( ( ~ ( ord_less_eq_int @ SV130 @ zero_zero_int )
| ( ( nat2 @ SV130 )
= zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(890,plain,
( ( ! [SV131: nat > $o] :
( ( ~ ! [SY368: nat] :
~ ( SV131 @ SY368 ) )
= ( ~ ! [SY369: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY369 )
| ~ ( SV131 @ ( nat2 @ SY369 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[730]) ).
thf(891,plain,
( ( ( ^ [SX0: nat > $o] :
~ ! [SX1: nat] :
~ ( SX0 @ SX1 ) )
= ( ^ [SX0: nat > $o] :
~ ! [SX1: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SX1 )
| ~ ( SX0 @ ( nat2 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[730]) ).
thf(892,plain,
! [SV132: int] :
( ( ! [SY370: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SV132 )
| ~ ( ord_less_eq_int @ zero_zero_int @ SY370 )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SY370 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( SV132 = SY370 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(893,plain,
! [SV133: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV133 )
| ~ ! [SY371: nat] :
( SV133
!= ( semiri2019852685at_int @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(894,plain,
! [SV134: int] :
( ( ! [SY372: int] :
( ~ ( ord_less_eq_int @ SV134 @ SY372 )
| ( ord_less_eq_nat @ ( nat2 @ SV134 ) @ ( nat2 @ SY372 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(895,plain,
! [SV135: nat] :
( ( ! [SY373: nat] :
( ~ ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV135 )
| ( ord_less_eq_nat @ SY373 @ ( power_power_nat @ SV135 @ SY373 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(896,plain,
! [SV136: num] :
( ( ( bit0 @ SV136 )
!= one )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(897,plain,
! [SV137: nat] :
( ( ! [SY374: int] :
( ( SV137
= ( nat2 @ SY374 ) )
= ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY374 )
| ( SY374
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SY374 )
| ( SV137 = zero_zero_nat ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(898,plain,
! [SV138: int] :
( ( ! [SY375: nat] :
( ( ( nat2 @ SV138 )
= SY375 )
= ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SY375 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SY375 = zero_zero_nat ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(899,plain,
! [SV139: real] :
( ( ! [SY376: int] :
( ~ ( ord_less_eq_real @ SV139 @ ( ring_1_of_int_real @ SY376 ) )
| ( ord_less_eq_int @ ( archim1371465213g_real @ SV139 ) @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(900,plain,
! [SV140: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV140 )
| ~ ! [SY377: nat] :
( SV140
!= ( semiri2019852685at_int @ SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(901,plain,
! [SV141: int] :
( ( ! [SY378: nat] :
( ~ ( ord_less_eq_int @ one_one_int @ SV141 )
| ( ord_less_eq_int @ one_one_int @ ( power_power_int @ SV141 @ SY378 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(902,plain,
! [SV142: nat > int] :
( ( ! [SY379: nat,SY380: nat] :
( ~ ! [SY381: nat] : ( ord_less_eq_int @ ( SV142 @ SY381 ) @ ( SV142 @ ( suc @ SY381 ) ) )
| ~ ( ord_less_eq_nat @ SY379 @ SY380 )
| ( ord_less_eq_int @ ( SV142 @ SY379 ) @ ( SV142 @ SY380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(903,plain,
! [SV143: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV143 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV143 ) )
= SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(904,plain,
! [SV144: nat] :
( ( ! [SY382: int] :
( ( ( semiri2019852685at_int @ SV144 )
= SY382 )
= ( ~ ( ( SV144
!= ( nat2 @ SY382 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SY382 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(905,plain,
! [SV145: int] :
( ( ! [SY383: nat] :
( ~ ( ( SV145 != zero_zero_int ) )
| ( ( power_power_int @ SV145 @ SY383 )
!= zero_zero_int ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(906,plain,
! [SV146: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV146 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV146 ) )
= ( ring_1_of_int_int @ SV146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(907,plain,
! [SV147: int] :
( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV147 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= SV147 ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV147 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= zero_zero_int ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(908,plain,
! [SV148: real] :
( ( ~ ! [SY384: int] :
~ ( ord_less_eq_real @ SV148 @ ( ring_1_of_int_real @ SY384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(909,plain,
! [SV149: num] :
( ( one
!= ( bit0 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(910,plain,
! [SV150: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV150 )
| ( ( semiri2110766477t_real @ ( nat2 @ SV150 ) )
= ( ring_1_of_int_real @ SV150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(911,plain,
! [SV151: real] :
( ( ! [SY385: real] :
( ~ ( ord_less_eq_real @ SV151 @ SY385 )
| ( ord_less_eq_int @ ( archim1371465213g_real @ SV151 ) @ ( archim1371465213g_real @ SY385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(912,plain,
! [SV152: real] :
( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= ( ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(913,plain,
! [SV153: num] :
( ( one
!= ( bit0 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(914,plain,
! [SV154: nat > int] :
( ( ! [SY387: nat,SY388: nat] :
( ~ ! [SY389: nat] : ( ord_less_eq_int @ ( SV154 @ ( suc @ SY389 ) ) @ ( SV154 @ SY389 ) )
| ~ ( ord_less_eq_nat @ SY387 @ SY388 )
| ( ord_less_eq_int @ ( SV154 @ SY388 ) @ ( SV154 @ SY387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(915,plain,
! [SV155: nat,SV1: num] :
( ( ! [SY390: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SY390 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SY390 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(916,plain,
! [SV156: nat,SV2: num] :
( ( ! [SY391: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SY391 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SY391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(917,plain,
! [SV157: num,SV3: int] :
( ( ! [SY392: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SY392 ) )
= ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SY392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(918,plain,
! [SV158: num,SV4: int] :
( ( ! [SY393: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SY393 ) )
= ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SY393 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(919,plain,
! [SV159: nat,SV5: num] :
( ( ( archim1371465213g_real @ ( power_power_real @ ( numeral_numeral_real @ SV5 ) @ SV159 ) )
= ( power_power_int @ ( numeral_numeral_int @ SV5 ) @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(920,plain,
! [SV160: nat,SV6: num] :
( ( ! [SY394: int] :
( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SY394 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SY394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(921,plain,
! [SV161: nat,SV7: num] :
( ( ! [SY395: int] :
( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SY395 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SY395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(922,plain,
! [SV162: num,SV8: int] :
( ( ! [SY396: nat] :
( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SY396 ) )
= ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SY396 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(923,plain,
! [SV163: num,SV9: int] :
( ( ! [SY397: nat] :
( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SY397 ) )
= ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SY397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(924,plain,
! [SV164: nat,SV10: int] :
( ( ! [SY398: int] :
( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SY398 ) )
= ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SY398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(925,plain,
! [SV165: nat,SV11: int] :
( ( ! [SY399: int] :
( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SY399 ) )
= ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SY399 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(926,plain,
! [SV166: int,SV12: int] :
( ( ! [SY400: nat] :
( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SY400 ) )
= ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SY400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(927,plain,
! [SV167: int,SV13: int] :
( ( ! [SY401: nat] :
( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SY401 ) )
= ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SY401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(928,plain,
! [SV168: num,SV14: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(929,plain,
! [SV169: num,SV15: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(930,plain,
! [SV170: num,SV16: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(931,plain,
! [SV171: int,SV17: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(932,plain,
! [SV172: int,SV18: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(933,plain,
! [SV173: nat,SV19: int] :
( ( ( ring_1_of_int_int @ ( power_power_int @ SV19 @ SV173 ) )
= ( power_power_int @ ( ring_1_of_int_int @ SV19 ) @ SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(934,plain,
! [SV174: nat,SV20: int] :
( ( ( ring_1_of_int_real @ ( power_power_int @ SV20 @ SV174 ) )
= ( power_power_real @ ( ring_1_of_int_real @ SV20 ) @ SV174 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(935,plain,
! [SV175: nat,SV21: int] :
( ( ! [SY402: int] :
( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SY402 ) )
= ( ( power_power_int @ SV21 @ SV175 )
= SY402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(936,plain,
! [SV176: nat,SV22: int] :
( ( ! [SY403: int] :
( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SY403 ) )
= ( ( power_power_int @ SV22 @ SV176 )
= SY403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(937,plain,
! [SV177: int,SV23: int] :
( ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= ( SV23 = SV177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(938,plain,
! [SV178: int,SV26: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= ( ord_less_eq_int @ SV26 @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(939,plain,
! [SV179: int,SV27: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= ( ord_less_eq_int @ SV27 @ SV179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(940,plain,
! [SV180: num,SV30: int] :
( ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= ( SV30
= ( numeral_numeral_int @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(941,plain,
! [SV181: num,SV31: int] :
( ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= ( SV31
= ( numeral_numeral_int @ SV181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(942,plain,
! [SV182: int,SV33: int] :
( ( ! [SY404: nat] :
( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SY404 ) )
= ( SV33
= ( power_power_int @ SV182 @ SY404 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(943,plain,
! [SV183: int,SV34: int] :
( ( ! [SY405: nat] :
( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SY405 ) )
= ( SV34
= ( power_power_int @ SV183 @ SY405 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(944,plain,
! [SV184: nat,SV35: num] :
( ( ! [SY406: int] :
( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SY406 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(945,plain,
! [SV185: num,SV36: int] :
( ( ! [SY407: nat] :
( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SY407 ) )
= ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SY407 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(946,plain,
! [SV186: nat,SV37: num] :
( ( ! [SY408: int] :
( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SY408 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SY408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(947,plain,
! [SV187: num,SV38: int] :
( ( ! [SY409: nat] :
( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SY409 ) )
= ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SY409 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(948,plain,
! [SV188: int,SV40: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(949,plain,
! [SV41: num] :
( ( ord_less_eq_num @ ( bit0 @ SV41 ) @ one )
= $false ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(950,plain,
! [SV189: num,SV42: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= ( ord_less_eq_num @ SV42 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(951,plain,
! [SV190: num,SV43: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= ( ord_less_eq_num @ SV43 @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(952,plain,
! [SV191: num,SV45: num] :
( ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= ( ord_less_eq_num @ SV45 @ SV191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(953,plain,
! [SV192: num,SV46: num] :
( ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= ( SV46 = SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(954,plain,
! [SV193: num,SV47: num] :
( ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= ( SV47 = SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(955,plain,
! [SV194: num,SV48: num] :
( ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= ( SV48 = SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(956,plain,
! [SV195: num,SV49: num] :
( ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= ( SV49 = SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(957,plain,
! [SV50: int] :
( ( ~ ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
| ( SV50 = one_one_int ) )
| ~ ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
| ( SV50 != one_one_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(958,plain,
! [SV50: int] :
( ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= ( SV50 = one_one_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[803]) ).
thf(959,plain,
! [SV51: num] :
( ( ~ ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
| ( SV51 = one ) )
| ~ ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
| ( SV51 != one ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[804]) ).
thf(960,plain,
! [SV51: num] :
( ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= ( SV51 = one ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[804]) ).
thf(961,plain,
! [SV52: num] :
( ( ~ ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
| ( SV52 = one ) )
| ~ ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
| ( SV52 != one ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[805]) ).
thf(962,plain,
! [SV52: num] :
( ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= ( SV52 = one ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[805]) ).
thf(963,plain,
! [SV53: num] :
( ( ~ ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
| ( SV53 = one ) )
| ~ ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
| ( SV53 != one ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[806]) ).
thf(964,plain,
! [SV53: num] :
( ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= ( SV53 = one ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[806]) ).
thf(965,plain,
! [SV54: num] :
( ( ~ ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
| ( one = SV54 ) )
| ~ ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
| ( one != SV54 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[807]) ).
thf(966,plain,
! [SV54: num] :
( ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= ( one = SV54 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[807]) ).
thf(967,plain,
! [SV55: num] :
( ( ~ ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
| ( one = SV55 ) )
| ~ ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
| ( one != SV55 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[808]) ).
thf(968,plain,
! [SV55: num] :
( ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= ( one = SV55 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[808]) ).
thf(969,plain,
! [SV56: num] :
( ( ~ ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
| ( one = SV56 ) )
| ~ ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
| ( one != SV56 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[809]) ).
thf(970,plain,
! [SV56: num] :
( ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= ( one = SV56 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[809]) ).
thf(971,plain,
! [SV57: int] :
( ( ~ ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ( ord_less_eq_int @ one_one_int @ SV57 ) )
| ~ ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV57 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[810]) ).
thf(972,plain,
! [SV57: int] :
( ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= ( ord_less_eq_int @ one_one_int @ SV57 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[810]) ).
thf(973,plain,
! [SV58: int] :
( ( ~ ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ( ord_less_eq_int @ one_one_int @ SV58 ) )
| ~ ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV58 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[811]) ).
thf(974,plain,
! [SV58: int] :
( ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= ( ord_less_eq_int @ one_one_int @ SV58 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[811]) ).
thf(975,plain,
! [SV59: int] :
( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ( ord_less_eq_int @ SV59 @ one_one_int ) )
| ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ~ ( ord_less_eq_int @ SV59 @ one_one_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[812]) ).
thf(976,plain,
! [SV59: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= ( ord_less_eq_int @ SV59 @ one_one_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[812]) ).
thf(977,plain,
! [SV60: int] :
( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ( ord_less_eq_int @ SV60 @ one_one_int ) )
| ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ~ ( ord_less_eq_int @ SV60 @ one_one_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[813]) ).
thf(978,plain,
! [SV60: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= ( ord_less_eq_int @ SV60 @ one_one_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[813]) ).
thf(979,plain,
! [SV61: real] :
( ( ~ ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ( ord_less_eq_real @ SV61 @ one_one_real ) )
| ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ~ ( ord_less_eq_real @ SV61 @ one_one_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[814]) ).
thf(980,plain,
! [SV61: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= ( ord_less_eq_real @ SV61 @ one_one_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[814]) ).
thf(981,plain,
! [SV62: num] :
( ( ~ ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ( ord_less_eq_num @ SV62 @ one ) )
| ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ~ ( ord_less_eq_num @ SV62 @ one ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[815]) ).
thf(982,plain,
! [SV62: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= ( ord_less_eq_num @ SV62 @ one ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[815]) ).
thf(983,plain,
! [SV63: num] :
( ( ~ ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ( ord_less_eq_num @ SV63 @ one ) )
| ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ~ ( ord_less_eq_num @ SV63 @ one ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[816]) ).
thf(984,plain,
! [SV63: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= ( ord_less_eq_num @ SV63 @ one ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[816]) ).
thf(985,plain,
! [SV196: int,SV66: int] :
( ( ( SV66 = SV196 )
| ~ ( ord_less_eq_int @ SV66 @ SV196 )
| ~ ( ord_less_eq_int @ SV196 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(986,plain,
! [SV67: num] :
( ( ~ ( ( ord_less_eq_num @ SV67 @ one )
| ( SV67 = one ) )
| ~ ( ~ ( ord_less_eq_num @ SV67 @ one )
| ( SV67 != one ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[820]) ).
thf(987,plain,
! [SV67: num] :
( ( ( ord_less_eq_num @ SV67 @ one )
= ( SV67 = one ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[820]) ).
thf(988,plain,
! [SV197: int,SV69: int] :
( ( ( ord_less_eq_int @ SV69 @ SV197 )
| ( SV69 = SV197 )
| ( ord_less_eq_int @ SV197 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(989,plain,
! [SV198: num] :
( ( ( numeral_numeral_nat @ SV198 )
= ( nat2 @ ( numeral_numeral_int @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(990,plain,
! [SV199: num,SV71: num] :
( ( ( powr_real @ ( numeral_numeral_real @ SV71 ) @ ( numeral_numeral_real @ SV199 ) )
= ( power_power_real @ ( numeral_numeral_real @ SV71 ) @ ( numeral_numeral_nat @ SV199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(991,plain,
! [SV200: nat,SV72: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( ord_less_eq_nat @ SV72 @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(992,plain,
! [SV201: nat,SV77: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= ( ord_less_eq_nat @ SV77 @ SV201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(993,plain,
! [SV202: nat,SV80: nat] :
( ( ! [SY410: nat] :
( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SY410 ) )
= ( SV80
= ( power_power_nat @ SV202 @ SY410 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(994,plain,
! [SV203: nat,SV81: nat] :
( ( ! [SY411: nat] :
( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SY411 ) )
= ( ( power_power_nat @ SV81 @ SV203 )
= SY411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(995,plain,
! [SV204: nat,SV82: nat] :
( ( ( semiri2019852685at_int @ ( power_power_nat @ SV82 @ SV204 ) )
= ( power_power_int @ ( semiri2019852685at_int @ SV82 ) @ SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(996,plain,
! [SV205: nat,SV83: nat] :
( ( ! [SY412: nat] :
( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SY412 ) )
= ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SY412 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(997,plain,
! [SV206: nat,SV84: nat] :
( ( ! [SY413: nat] :
( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SY413 ) )
= ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SY413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(998,plain,
! [SV207: num,SV85: nat] :
( ( ! [SY414: nat] :
( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SY414 ) )
= ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SY414 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(999,plain,
! [SV208: nat,SV86: num] :
( ( ! [SY415: nat] :
( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SY415 ) )
= ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SY415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(1000,plain,
! [SV209: nat,SV87: real] :
( ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(1001,plain,
! [SV210: num,SV90: num] :
( ( ( power_power_int @ ( numeral_numeral_int @ SV90 ) @ ( numeral_numeral_nat @ SV210 ) )
= ( numeral_numeral_int @ ( pow @ SV90 @ SV210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(1002,plain,
! [SV211: num,SV91: num] :
( ( ( power_power_real @ ( numeral_numeral_real @ SV91 ) @ ( numeral_numeral_nat @ SV211 ) )
= ( numeral_numeral_real @ ( pow @ SV91 @ SV211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(1003,plain,
! [SV94: int] :
( ( ~ ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 = zero_zero_int ) )
| ~ ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 != zero_zero_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[848]) ).
thf(1004,plain,
! [SV94: int] :
( ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= ( SV94 = zero_zero_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[848]) ).
thf(1005,plain,
! [SV95: int] :
( ( ~ ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
| ( SV95 = zero_zero_int ) )
| ~ ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
| ( SV95 != zero_zero_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[849]) ).
thf(1006,plain,
! [SV95: int] :
( ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= ( SV95 = zero_zero_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[849]) ).
thf(1007,plain,
! [SV96: int] :
( ( ~ ( ( ( nat2 @ SV96 )
= zero_zero_nat )
| ( ord_less_eq_int @ SV96 @ zero_zero_int ) )
| ~ ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
| ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[850]) ).
thf(1008,plain,
! [SV96: int] :
( ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= ( ord_less_eq_int @ SV96 @ zero_zero_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[850]) ).
thf(1009,plain,
! [SV98: nat] :
( ( ~ ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 = zero_zero_nat ) )
| ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 != zero_zero_nat ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[852]) ).
thf(1010,plain,
! [SV98: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= ( SV98 = zero_zero_nat ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[852]) ).
thf(1011,plain,
! [SV212: num,SV101: nat] :
( ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= ( SV101
= ( numeral_numeral_nat @ SV212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(1012,plain,
! [SV105: int] :
( ( ~ ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ( ord_less_eq_int @ zero_zero_int @ SV105 ) )
| ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[859]) ).
thf(1013,plain,
! [SV105: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= ( ord_less_eq_int @ zero_zero_int @ SV105 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[859]) ).
thf(1014,plain,
! [SV106: int] :
( ( ~ ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ( ord_less_eq_int @ zero_zero_int @ SV106 ) )
| ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[860]) ).
thf(1015,plain,
! [SV106: int] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= ( ord_less_eq_int @ zero_zero_int @ SV106 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[860]) ).
thf(1016,plain,
! [SV107: int] :
( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ( ord_less_eq_int @ SV107 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[861]) ).
thf(1017,plain,
! [SV107: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= ( ord_less_eq_int @ SV107 @ zero_zero_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[861]) ).
thf(1018,plain,
! [SV108: int] :
( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ( ord_less_eq_int @ SV108 @ zero_zero_int ) )
| ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[862]) ).
thf(1019,plain,
! [SV108: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= ( ord_less_eq_int @ SV108 @ zero_zero_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[862]) ).
thf(1020,plain,
! [SV109: real] :
( ( ~ ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ( ord_less_eq_real @ SV109 @ zero_zero_real ) )
| ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[863]) ).
thf(1021,plain,
! [SV109: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= ( ord_less_eq_real @ SV109 @ zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[863]) ).
thf(1022,plain,
! [SV110: int] :
( ( ~ ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
| ( SV110 = zero_zero_int ) )
| ~ ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
| ( SV110 != zero_zero_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[864]) ).
thf(1023,plain,
! [SV110: int] :
( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= ( SV110 = zero_zero_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[864]) ).
thf(1024,plain,
! [SV111: nat] :
( ( ~ ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
| ( SV111 = zero_zero_nat ) )
| ~ ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
| ( SV111 != zero_zero_nat ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[865]) ).
thf(1025,plain,
! [SV111: nat] :
( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= ( SV111 = zero_zero_nat ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[865]) ).
thf(1026,plain,
! [SV112: real] :
( ( ~ ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
| ( SV112 = zero_zero_real ) )
| ~ ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
| ( SV112 != zero_zero_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[866]) ).
thf(1027,plain,
! [SV112: real] :
( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= ( SV112 = zero_zero_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[866]) ).
thf(1028,plain,
! [SV113: int] :
( ( ~ ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 = zero_zero_int ) )
| ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 != zero_zero_int ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[867]) ).
thf(1029,plain,
! [SV113: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= ( SV113 = zero_zero_int ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[867]) ).
thf(1030,plain,
! [SV213: nat] :
( ( ( ord_less_eq_nat @ SV213 )
= ( ^ [SY416: nat] : ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SY416 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(1031,plain,
! [SV214: nat,SV115: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= ( ord_less_eq_nat @ SV115 @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(1032,plain,
! [SV215: nat,SV118: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(1033,plain,
! [SV119: $o] :
( ( ( SV119 = $true )
= $true )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(1034,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(1035,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(1036,plain,
! [SV216: int,SV120: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV120 )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV216 )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= ( SV120 = SV216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(1037,plain,
! [SV217: nat,SV121: nat] :
( ( ( SV121
!= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV217 ) )
| ( ( semiri2110766477t_real @ SV217 )
= ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ SV121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(1038,plain,
! [SV218: nat,SV122: nat] :
( ( ~ ( ord_less_eq_nat @ SV122 @ SV218 )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SV122 ) @ ( semiri2019852685at_int @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(1039,plain,
! [SV219: nat,SV123: nat] :
( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV123 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ SV219 )
| ( ord_less_eq_nat @ SV123 @ SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(1040,plain,
! [SV124: num] :
( ( zero_zero_int
= ( numeral_numeral_int @ SV124 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(1041,plain,
! [SV125: nat] :
( ( ~ ( ( SV125 != zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ SV125 )
= one_one_int ) )
| ~ ( ~ ( ( SV125 != zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ SV125 )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(1042,plain,
! [SV220: nat,SV126: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV126 )
| ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(1043,plain,
! [SV127: num] :
( ( zero_zero_real
= ( numeral_numeral_real @ SV127 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(1044,plain,
! [SV221: nat,SV128: nat] :
( ( ! [SY417: int] :
( ~ ( ord_less_eq_nat @ SV128 @ SV221 )
| ~ ( ord_less_eq_int @ one_one_int @ SY417 )
| ( ord_less_eq_int @ ( power_power_int @ SY417 @ SV128 ) @ ( power_power_int @ SY417 @ SV221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(1045,plain,
! [SV222: nat > $o] :
( ( ( ! [SY418: nat] : ( SV222 @ SY418 ) )
= ( ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(1046,plain,
! [SV130: int] :
( ( ( ~ ( ord_less_eq_int @ SV130 @ zero_zero_int ) )
= $true )
| ( ( ( nat2 @ SV130 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(1047,plain,
! [SV223: nat > $o] :
( ( ( ~ ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= ( ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(1048,plain,
! [SV224: int,SV132: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV132 )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV224 )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( SV132 = SV224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(1049,plain,
! [SV133: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV133 ) )
= $true )
| ( ( ~ ! [SY371: nat] :
( SV133
!= ( semiri2019852685at_int @ SY371 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(1050,plain,
! [SV225: int,SV134: int] :
( ( ~ ( ord_less_eq_int @ SV134 @ SV225 )
| ( ord_less_eq_nat @ ( nat2 @ SV134 ) @ ( nat2 @ SV225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(1051,plain,
! [SV226: nat,SV135: nat] :
( ( ~ ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV135 )
| ( ord_less_eq_nat @ SV226 @ ( power_power_nat @ SV135 @ SV226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(1052,plain,
! [SV136: num] :
( ( ( bit0 @ SV136 )
= one )
= $false ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(1053,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
= ( nat2 @ SV227 ) )
= ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(1054,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
= SV228 )
= ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(1055,plain,
! [SV229: int,SV139: real] :
( ( ~ ( ord_less_eq_real @ SV139 @ ( ring_1_of_int_real @ SV229 ) )
| ( ord_less_eq_int @ ( archim1371465213g_real @ SV139 ) @ SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(1056,plain,
! [SV140: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV140 ) )
= $true )
| ( ( ~ ! [SY377: nat] :
( SV140
!= ( semiri2019852685at_int @ SY377 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(1057,plain,
! [SV230: nat,SV141: int] :
( ( ~ ( ord_less_eq_int @ one_one_int @ SV141 )
| ( ord_less_eq_int @ one_one_int @ ( power_power_int @ SV141 @ SV230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(1058,plain,
! [SV231: nat,SV142: nat > int] :
( ( ! [SY422: nat] :
( ~ ! [SY381: nat] : ( ord_less_eq_int @ ( SV142 @ SY381 ) @ ( SV142 @ ( suc @ SY381 ) ) )
| ~ ( ord_less_eq_nat @ SV231 @ SY422 )
| ( ord_less_eq_int @ ( SV142 @ SV231 ) @ ( SV142 @ SY422 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(1059,plain,
! [SV143: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV143 ) )
= $true )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV143 ) )
= SV143 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(1060,plain,
! [SV232: int,SV144: nat] :
( ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= ( ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(1061,plain,
! [SV233: nat,SV145: int] :
( ( ~ ( ( SV145 != zero_zero_int ) )
| ( ( power_power_int @ SV145 @ SV233 )
!= zero_zero_int ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1062,plain,
! [SV146: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV146 ) )
= $true )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV146 ) )
= ( ring_1_of_int_int @ SV146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(1063,plain,
! [SV147: int] :
( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV147 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= SV147 ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV147 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(1064,plain,
! [SV148: real] :
( ( ! [SY384: int] :
~ ( ord_less_eq_real @ SV148 @ ( ring_1_of_int_real @ SY384 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(1065,plain,
! [SV149: num] :
( ( one
= ( bit0 @ SV149 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(1066,plain,
! [SV150: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV150 ) )
= $true )
| ( ( ( semiri2110766477t_real @ ( nat2 @ SV150 ) )
= ( ring_1_of_int_real @ SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(1067,plain,
! [SV234: real,SV151: real] :
( ( ~ ( ord_less_eq_real @ SV151 @ SV234 )
| ( ord_less_eq_int @ ( archim1371465213g_real @ SV151 ) @ ( archim1371465213g_real @ SV234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(1068,plain,
! [SV152: real] :
( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
| ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
| ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(1069,plain,
! [SV152: real] :
( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= ( ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[912]) ).
thf(1070,plain,
! [SV153: num] :
( ( one
= ( bit0 @ SV153 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(1071,plain,
! [SV235: nat,SV154: nat > int] :
( ( ! [SY424: nat] :
( ~ ! [SY389: nat] : ( ord_less_eq_int @ ( SV154 @ ( suc @ SY389 ) ) @ ( SV154 @ SY389 ) )
| ~ ( ord_less_eq_nat @ SV235 @ SY424 )
| ( ord_less_eq_int @ ( SV154 @ SY424 ) @ ( SV154 @ SV235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1072,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1073,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1074,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1075,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1076,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1077,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1078,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1079,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1080,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1081,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1082,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1083,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1084,plain,
! [SV168: num,SV14: real] :
( ( ~ ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) )
| ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[928]) ).
thf(1085,plain,
! [SV168: num,SV14: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[928]) ).
thf(1086,plain,
! [SV169: num,SV15: int] :
( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) )
| ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[929]) ).
thf(1087,plain,
! [SV169: num,SV15: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[929]) ).
thf(1088,plain,
! [SV170: num,SV16: int] :
( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) )
| ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[930]) ).
thf(1089,plain,
! [SV170: num,SV16: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[930]) ).
thf(1090,plain,
! [SV171: int,SV17: num] :
( ( ~ ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) )
| ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[931]) ).
thf(1091,plain,
! [SV171: int,SV17: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[931]) ).
thf(1092,plain,
! [SV172: int,SV18: num] :
( ( ~ ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) )
| ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[932]) ).
thf(1093,plain,
! [SV172: int,SV18: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[932]) ).
thf(1094,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= ( ( power_power_int @ SV21 @ SV175 )
= SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1095,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= ( ( power_power_int @ SV22 @ SV176 )
= SV249 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1096,plain,
! [SV177: int,SV23: int] :
( ( ~ ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 = SV177 ) )
| ~ ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 != SV177 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(1097,plain,
! [SV177: int,SV23: int] :
( ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= ( SV23 = SV177 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(1098,plain,
! [SV178: int,SV26: int] :
( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ( ord_less_eq_int @ SV26 @ SV178 ) )
| ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ~ ( ord_less_eq_int @ SV26 @ SV178 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[938]) ).
thf(1099,plain,
! [SV178: int,SV26: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= ( ord_less_eq_int @ SV26 @ SV178 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[938]) ).
thf(1100,plain,
! [SV179: int,SV27: int] :
( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ( ord_less_eq_int @ SV27 @ SV179 ) )
| ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ~ ( ord_less_eq_int @ SV27 @ SV179 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[939]) ).
thf(1101,plain,
! [SV179: int,SV27: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= ( ord_less_eq_int @ SV27 @ SV179 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[939]) ).
thf(1102,plain,
! [SV180: num,SV30: int] :
( ( ~ ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
| ( SV30
= ( numeral_numeral_int @ SV180 ) ) )
| ~ ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
| ( SV30
!= ( numeral_numeral_int @ SV180 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[940]) ).
thf(1103,plain,
! [SV180: num,SV30: int] :
( ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= ( SV30
= ( numeral_numeral_int @ SV180 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[940]) ).
thf(1104,plain,
! [SV181: num,SV31: int] :
( ( ~ ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
| ( SV31
= ( numeral_numeral_int @ SV181 ) ) )
| ~ ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
| ( SV31
!= ( numeral_numeral_int @ SV181 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[941]) ).
thf(1105,plain,
! [SV181: num,SV31: int] :
( ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= ( SV31
= ( numeral_numeral_int @ SV181 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[941]) ).
thf(1106,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= ( SV33
= ( power_power_int @ SV182 @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1107,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= ( SV34
= ( power_power_int @ SV183 @ SV251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1108,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1109,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1110,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1111,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1112,plain,
! [SV188: int,SV40: real] :
( ( ~ ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) )
| ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[948]) ).
thf(1113,plain,
! [SV188: int,SV40: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[948]) ).
thf(1114,plain,
! [SV189: num,SV42: num] :
( ( ~ ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ( ord_less_eq_num @ SV42 @ SV189 ) )
| ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ~ ( ord_less_eq_num @ SV42 @ SV189 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[950]) ).
thf(1115,plain,
! [SV189: num,SV42: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= ( ord_less_eq_num @ SV42 @ SV189 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[950]) ).
thf(1116,plain,
! [SV190: num,SV43: num] :
( ( ~ ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ( ord_less_eq_num @ SV43 @ SV190 ) )
| ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ~ ( ord_less_eq_num @ SV43 @ SV190 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[951]) ).
thf(1117,plain,
! [SV190: num,SV43: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= ( ord_less_eq_num @ SV43 @ SV190 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[951]) ).
thf(1118,plain,
! [SV191: num,SV45: num] :
( ( ~ ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ( ord_less_eq_num @ SV45 @ SV191 ) )
| ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ~ ( ord_less_eq_num @ SV45 @ SV191 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[952]) ).
thf(1119,plain,
! [SV191: num,SV45: num] :
( ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= ( ord_less_eq_num @ SV45 @ SV191 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[952]) ).
thf(1120,plain,
! [SV192: num,SV46: num] :
( ( ~ ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
| ( SV46 = SV192 ) )
| ~ ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
| ( SV46 != SV192 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[953]) ).
thf(1121,plain,
! [SV192: num,SV46: num] :
( ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= ( SV46 = SV192 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[953]) ).
thf(1122,plain,
! [SV193: num,SV47: num] :
( ( ~ ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
| ( SV47 = SV193 ) )
| ~ ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
| ( SV47 != SV193 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[954]) ).
thf(1123,plain,
! [SV193: num,SV47: num] :
( ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= ( SV47 = SV193 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[954]) ).
thf(1124,plain,
! [SV194: num,SV48: num] :
( ( ~ ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
| ( SV48 = SV194 ) )
| ~ ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
| ( SV48 != SV194 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[955]) ).
thf(1125,plain,
! [SV194: num,SV48: num] :
( ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= ( SV48 = SV194 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[955]) ).
thf(1126,plain,
! [SV195: num,SV49: num] :
( ( ~ ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
| ( SV49 = SV195 ) )
| ~ ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
| ( SV49 != SV195 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1127,plain,
! [SV195: num,SV49: num] :
( ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= ( SV49 = SV195 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1128,plain,
! [SV50: int] :
( ( ( ~ ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
| ( SV50 = one_one_int ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
| ( SV50 != one_one_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1129,plain,
! [SV51: num] :
( ( ( ~ ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
| ( SV51 = one ) ) )
= $true )
| ( ( ~ ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
| ( SV51 != one ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(1130,plain,
! [SV52: num] :
( ( ( ~ ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
| ( SV52 = one ) ) )
= $true )
| ( ( ~ ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
| ( SV52 != one ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1131,plain,
! [SV53: num] :
( ( ( ~ ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
| ( SV53 = one ) ) )
= $true )
| ( ( ~ ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
| ( SV53 != one ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1132,plain,
! [SV54: num] :
( ( ( ~ ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
| ( one = SV54 ) ) )
= $true )
| ( ( ~ ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
| ( one != SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1133,plain,
! [SV55: num] :
( ( ( ~ ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
| ( one = SV55 ) ) )
= $true )
| ( ( ~ ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
| ( one != SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1134,plain,
! [SV56: num] :
( ( ( ~ ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
| ( one = SV56 ) ) )
= $true )
| ( ( ~ ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
| ( one != SV56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1135,plain,
! [SV57: int] :
( ( ( ~ ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ( ord_less_eq_int @ one_one_int @ SV57 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV57 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(1136,plain,
! [SV58: int] :
( ( ( ~ ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ( ord_less_eq_int @ one_one_int @ SV58 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1137,plain,
! [SV59: int] :
( ( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ( ord_less_eq_int @ SV59 @ one_one_int ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ~ ( ord_less_eq_int @ SV59 @ one_one_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[975]) ).
thf(1138,plain,
! [SV60: int] :
( ( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ( ord_less_eq_int @ SV60 @ one_one_int ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ~ ( ord_less_eq_int @ SV60 @ one_one_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1139,plain,
! [SV61: real] :
( ( ( ~ ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ( ord_less_eq_real @ SV61 @ one_one_real ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ~ ( ord_less_eq_real @ SV61 @ one_one_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1140,plain,
! [SV62: num] :
( ( ( ~ ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ( ord_less_eq_num @ SV62 @ one ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ~ ( ord_less_eq_num @ SV62 @ one ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1141,plain,
! [SV63: num] :
( ( ( ~ ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ( ord_less_eq_num @ SV63 @ one ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ~ ( ord_less_eq_num @ SV63 @ one ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1142,plain,
! [SV196: int,SV66: int] :
( ( ( ( SV66 = SV196 )
| ~ ( ord_less_eq_int @ SV66 @ SV196 ) )
= $true )
| ( ( ~ ( ord_less_eq_int @ SV196 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(1143,plain,
! [SV67: num] :
( ( ( ~ ( ( ord_less_eq_num @ SV67 @ one )
| ( SV67 = one ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_num @ SV67 @ one )
| ( SV67 != one ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1144,plain,
! [SV197: int,SV69: int] :
( ( ( ( ord_less_eq_int @ SV69 @ SV197 )
| ( SV69 = SV197 ) )
= $true )
| ( ( ord_less_eq_int @ SV197 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1145,plain,
! [SV200: nat,SV72: nat] :
( ( ~ ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( ord_less_eq_nat @ SV72 @ SV200 ) )
| ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( ord_less_eq_nat @ SV72 @ SV200 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[991]) ).
thf(1146,plain,
! [SV200: nat,SV72: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( ord_less_eq_nat @ SV72 @ SV200 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[991]) ).
thf(1147,plain,
! [SV201: nat,SV77: nat] :
( ( ~ ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ( ord_less_eq_nat @ SV77 @ SV201 ) )
| ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ~ ( ord_less_eq_nat @ SV77 @ SV201 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[992]) ).
thf(1148,plain,
! [SV201: nat,SV77: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= ( ord_less_eq_nat @ SV77 @ SV201 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[992]) ).
thf(1149,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= ( SV80
= ( power_power_nat @ SV202 @ SV256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1150,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= ( ( power_power_nat @ SV81 @ SV203 )
= SV257 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1151,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1152,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1153,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1154,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[999]) ).
thf(1155,plain,
! [SV209: nat,SV87: real] :
( ( ~ ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) )
| ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1000]) ).
thf(1156,plain,
! [SV209: nat,SV87: real] :
( ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1000]) ).
thf(1157,plain,
! [SV94: int] :
( ( ( ~ ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 = zero_zero_int ) ) )
= $true )
| ( ( ~ ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1158,plain,
! [SV95: int] :
( ( ( ~ ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
| ( SV95 = zero_zero_int ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
| ( SV95 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1159,plain,
! [SV96: int] :
( ( ( ~ ( ( ( nat2 @ SV96 )
= zero_zero_nat )
| ( ord_less_eq_int @ SV96 @ zero_zero_int ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
| ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1160,plain,
! [SV98: nat] :
( ( ( ~ ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 != zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1009]) ).
thf(1161,plain,
! [SV212: num,SV101: nat] :
( ( ~ ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
| ( SV101
= ( numeral_numeral_nat @ SV212 ) ) )
| ~ ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
| ( SV101
!= ( numeral_numeral_nat @ SV212 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1011]) ).
thf(1162,plain,
! [SV212: num,SV101: nat] :
( ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= ( SV101
= ( numeral_numeral_nat @ SV212 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1011]) ).
thf(1163,plain,
! [SV105: int] :
( ( ( ~ ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ( ord_less_eq_int @ zero_zero_int @ SV105 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1164,plain,
! [SV106: int] :
( ( ( ~ ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ( ord_less_eq_int @ zero_zero_int @ SV106 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1165,plain,
! [SV107: int] :
( ( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ( ord_less_eq_int @ SV107 @ zero_zero_int ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1166,plain,
! [SV108: int] :
( ( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ( ord_less_eq_int @ SV108 @ zero_zero_int ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1167,plain,
! [SV109: real] :
( ( ( ~ ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ( ord_less_eq_real @ SV109 @ zero_zero_real ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1168,plain,
! [SV110: int] :
( ( ( ~ ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
| ( SV110 = zero_zero_int ) ) )
= $true )
| ( ( ~ ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
| ( SV110 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1169,plain,
! [SV111: nat] :
( ( ( ~ ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
| ( SV111 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
| ( SV111 != zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1170,plain,
! [SV112: real] :
( ( ( ~ ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
| ( SV112 = zero_zero_real ) ) )
= $true )
| ( ( ~ ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
| ( SV112 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1171,plain,
! [SV113: int] :
( ( ( ~ ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 = zero_zero_int ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1172,plain,
! [SV213: nat] :
( ( ! [SV262: nat] :
( ( ord_less_eq_nat @ SV213 @ SV262 )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV262 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1030]) ).
thf(1173,plain,
! [SV213: nat] :
( ( ( ord_less_eq_nat @ SV213 )
= ( ^ [SY416: nat] : ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SY416 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1030]) ).
thf(1174,plain,
! [SV214: nat,SV115: nat] :
( ( ~ ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ( ord_less_eq_nat @ SV115 @ SV214 ) )
| ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ~ ( ord_less_eq_nat @ SV115 @ SV214 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1031]) ).
thf(1175,plain,
! [SV214: nat,SV115: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= ( ord_less_eq_nat @ SV115 @ SV214 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1031]) ).
thf(1176,plain,
! [SV215: nat,SV118: int] :
( ( ~ ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) )
| ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1032]) ).
thf(1177,plain,
! [SV215: nat,SV118: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1032]) ).
thf(1178,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $true )
| ~ ( ~ SV119
| ~ $true ) )
= $true )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1179,plain,
! [SV119: $o] :
( ( ( SV119 = $true )
= $true )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1180,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1181,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1034]) ).
thf(1182,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1035]) ).
thf(1183,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1035]) ).
thf(1184,plain,
! [SV216: int,SV120: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV120 ) )
= $true )
| ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV216 )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= ( SV120 = SV216 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1185,plain,
! [SV217: nat,SV121: nat] :
( ( ( SV121
!= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV217 ) )
= $true )
| ( ( ( semiri2110766477t_real @ SV217 )
= ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ SV121 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1186,plain,
! [SV218: nat,SV122: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV122 @ SV218 ) )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV122 ) @ ( semiri2019852685at_int @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1187,plain,
! [SV219: nat,SV123: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV123 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ SV219 ) )
= $true )
| ( ( ord_less_eq_nat @ SV123 @ SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1188,plain,
! [SV125: nat] :
( ( ~ ( ( SV125 != zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ SV125 )
= one_one_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1189,plain,
! [SV125: nat] :
( ( ~ ( ~ ( ( SV125 != zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ SV125 )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1190,plain,
! [SV220: nat,SV126: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV126 ) )
= $true )
| ( ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1191,plain,
! [SV263: int,SV221: nat,SV128: nat] :
( ( ~ ( ord_less_eq_nat @ SV128 @ SV221 )
| ~ ( ord_less_eq_int @ one_one_int @ SV263 )
| ( ord_less_eq_int @ ( power_power_int @ SV263 @ SV128 ) @ ( power_power_int @ SV263 @ SV221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1192,plain,
! [SV222: nat > $o] :
( ( ~ ( ! [SY418: nat] : ( SV222 @ SY418 )
| ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
| ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1045]) ).
thf(1193,plain,
! [SV222: nat > $o] :
( ( ( ! [SY418: nat] : ( SV222 @ SY418 ) )
= ( ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1045]) ).
thf(1194,plain,
! [SV130: int] :
( ( ( ord_less_eq_int @ SV130 @ zero_zero_int )
= $false )
| ( ( ( nat2 @ SV130 )
= zero_zero_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1195,plain,
! [SV223: nat > $o] :
( ( ~ ( ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
| ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1047]) ).
thf(1196,plain,
! [SV223: nat > $o] :
( ( ( ~ ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= ( ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1047]) ).
thf(1197,plain,
! [SV224: int,SV132: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV132 ) )
= $true )
| ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV224 )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( SV132 = SV224 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1198,plain,
! [SV133: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV133 )
= $false )
| ( ( ~ ! [SY371: nat] :
( SV133
!= ( semiri2019852685at_int @ SY371 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1199,plain,
! [SV225: int,SV134: int] :
( ( ( ~ ( ord_less_eq_int @ SV134 @ SV225 ) )
= $true )
| ( ( ord_less_eq_nat @ ( nat2 @ SV134 ) @ ( nat2 @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1200,plain,
! [SV226: nat,SV135: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV135 ) )
= $true )
| ( ( ord_less_eq_nat @ SV226 @ ( power_power_nat @ SV135 @ SV226 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1201,plain,
! [SV227: int,SV137: nat] :
( ( ~ ( ( SV137
= ( nat2 @ SV227 ) )
| ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
| ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1202,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
= ( nat2 @ SV227 ) )
= ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1203,plain,
! [SV228: nat,SV138: int] :
( ( ~ ( ( ( nat2 @ SV138 )
= SV228 )
| ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
| ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1054]) ).
thf(1204,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
= SV228 )
= ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1054]) ).
thf(1205,plain,
! [SV229: int,SV139: real] :
( ( ( ~ ( ord_less_eq_real @ SV139 @ ( ring_1_of_int_real @ SV229 ) ) )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV139 ) @ SV229 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1206,plain,
! [SV140: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV140 )
= $false )
| ( ( ~ ! [SY377: nat] :
( SV140
!= ( semiri2019852685at_int @ SY377 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1207,plain,
! [SV230: nat,SV141: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ SV141 ) )
= $true )
| ( ( ord_less_eq_int @ one_one_int @ ( power_power_int @ SV141 @ SV230 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1208,plain,
! [SV264: nat,SV231: nat,SV142: nat > int] :
( ( ~ ! [SY381: nat] : ( ord_less_eq_int @ ( SV142 @ SY381 ) @ ( SV142 @ ( suc @ SY381 ) ) )
| ~ ( ord_less_eq_nat @ SV231 @ SV264 )
| ( ord_less_eq_int @ ( SV142 @ SV231 ) @ ( SV142 @ SV264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1058]) ).
thf(1209,plain,
! [SV143: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV143 )
= $false )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV143 ) )
= SV143 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1210,plain,
! [SV232: int,SV144: nat] :
( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
| ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
| ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1060]) ).
thf(1211,plain,
! [SV232: int,SV144: nat] :
( ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= ( ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1060]) ).
thf(1212,plain,
! [SV233: nat,SV145: int] :
( ( ( ~ ( ( SV145 != zero_zero_int ) ) )
= $true )
| ( ( ( power_power_int @ SV145 @ SV233 )
!= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1213,plain,
! [SV146: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV146 )
= $false )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV146 ) )
= ( ring_1_of_int_int @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1214,plain,
! [SV147: int] :
( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV147 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= SV147 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1215,plain,
! [SV147: int] :
( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV147 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= zero_zero_int ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1216,plain,
! [SV148: real] :
( ( ~ ( ord_less_eq_real @ SV148 @ ( ring_1_of_int_real @ ( sK1_SY384 @ SV148 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1064]) ).
thf(1217,plain,
! [SV150: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV150 )
= $false )
| ( ( ( semiri2110766477t_real @ ( nat2 @ SV150 ) )
= ( ring_1_of_int_real @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1218,plain,
! [SV234: real,SV151: real] :
( ( ( ~ ( ord_less_eq_real @ SV151 @ SV234 ) )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV151 ) @ ( archim1371465213g_real @ SV234 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1219,plain,
! [SV152: real] :
( ( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
| ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1220,plain,
! [SV265: nat,SV235: nat,SV154: nat > int] :
( ( ~ ! [SY389: nat] : ( ord_less_eq_int @ ( SV154 @ ( suc @ SY389 ) ) @ ( SV154 @ SY389 ) )
| ~ ( ord_less_eq_nat @ SV235 @ SV265 )
| ( ord_less_eq_int @ ( SV154 @ SV265 ) @ ( SV154 @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1071]) ).
thf(1221,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ~ ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) )
| ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1072]) ).
thf(1222,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1072]) ).
thf(1223,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ~ ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) )
| ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1073]) ).
thf(1224,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1073]) ).
thf(1225,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
| ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1074]) ).
thf(1226,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1074]) ).
thf(1227,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) )
| ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1075]) ).
thf(1228,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1075]) ).
thf(1229,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 ) )
| ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1076]) ).
thf(1230,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1076]) ).
thf(1231,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ~ ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 ) )
| ~ ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1077]) ).
thf(1232,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1077]) ).
thf(1233,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ~ ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) )
| ~ ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1078]) ).
thf(1234,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1078]) ).
thf(1235,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ~ ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) )
| ~ ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1079]) ).
thf(1236,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1079]) ).
thf(1237,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ~ ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) )
| ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1080]) ).
thf(1238,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1080]) ).
thf(1239,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ~ ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) )
| ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1081]) ).
thf(1240,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1081]) ).
thf(1241,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) )
| ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1082]) ).
thf(1242,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1082]) ).
thf(1243,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) )
| ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1083]) ).
thf(1244,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1083]) ).
thf(1245,plain,
! [SV168: num,SV14: real] :
( ( ( ~ ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1246,plain,
! [SV169: num,SV15: int] :
( ( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1247,plain,
! [SV170: num,SV16: int] :
( ( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1248,plain,
! [SV171: int,SV17: num] :
( ( ( ~ ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1249,plain,
! [SV172: int,SV18: num] :
( ( ( ~ ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1250,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ~ ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
= SV248 ) )
| ~ ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
!= SV248 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1094]) ).
thf(1251,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= ( ( power_power_int @ SV21 @ SV175 )
= SV248 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1094]) ).
thf(1252,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ~ ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
= SV249 ) )
| ~ ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
!= SV249 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1095]) ).
thf(1253,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= ( ( power_power_int @ SV22 @ SV176 )
= SV249 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1095]) ).
thf(1254,plain,
! [SV177: int,SV23: int] :
( ( ( ~ ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 = SV177 ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 != SV177 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1255,plain,
! [SV178: int,SV26: int] :
( ( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ( ord_less_eq_int @ SV26 @ SV178 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ~ ( ord_less_eq_int @ SV26 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1256,plain,
! [SV179: int,SV27: int] :
( ( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ( ord_less_eq_int @ SV27 @ SV179 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ~ ( ord_less_eq_int @ SV27 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1257,plain,
! [SV180: num,SV30: int] :
( ( ( ~ ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
| ( SV30
= ( numeral_numeral_int @ SV180 ) ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
| ( SV30
!= ( numeral_numeral_int @ SV180 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1258,plain,
! [SV181: num,SV31: int] :
( ( ( ~ ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
| ( SV31
= ( numeral_numeral_int @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
| ( SV31
!= ( numeral_numeral_int @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1259,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ~ ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
= ( power_power_int @ SV182 @ SV250 ) ) )
| ~ ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
!= ( power_power_int @ SV182 @ SV250 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1106]) ).
thf(1260,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= ( SV33
= ( power_power_int @ SV182 @ SV250 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1106]) ).
thf(1261,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ~ ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
= ( power_power_int @ SV183 @ SV251 ) ) )
| ~ ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
!= ( power_power_int @ SV183 @ SV251 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1107]) ).
thf(1262,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= ( SV34
= ( power_power_int @ SV183 @ SV251 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1107]) ).
thf(1263,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ~ ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 ) )
| ~ ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1108]) ).
thf(1264,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1108]) ).
thf(1265,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ~ ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) )
| ~ ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1109]) ).
thf(1266,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1109]) ).
thf(1267,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ~ ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) )
| ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1110]) ).
thf(1268,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1110]) ).
thf(1269,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ~ ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) )
| ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(1270,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1111]) ).
thf(1271,plain,
! [SV188: int,SV40: real] :
( ( ( ~ ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1272,plain,
! [SV189: num,SV42: num] :
( ( ( ~ ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ( ord_less_eq_num @ SV42 @ SV189 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ~ ( ord_less_eq_num @ SV42 @ SV189 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1273,plain,
! [SV190: num,SV43: num] :
( ( ( ~ ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ( ord_less_eq_num @ SV43 @ SV190 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ~ ( ord_less_eq_num @ SV43 @ SV190 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1274,plain,
! [SV191: num,SV45: num] :
( ( ( ~ ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ( ord_less_eq_num @ SV45 @ SV191 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ~ ( ord_less_eq_num @ SV45 @ SV191 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1275,plain,
! [SV192: num,SV46: num] :
( ( ( ~ ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
| ( SV46 = SV192 ) ) )
= $true )
| ( ( ~ ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
| ( SV46 != SV192 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1276,plain,
! [SV193: num,SV47: num] :
( ( ( ~ ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
| ( SV47 = SV193 ) ) )
= $true )
| ( ( ~ ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
| ( SV47 != SV193 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1277,plain,
! [SV194: num,SV48: num] :
( ( ( ~ ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
| ( SV48 = SV194 ) ) )
= $true )
| ( ( ~ ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
| ( SV48 != SV194 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1278,plain,
! [SV195: num,SV49: num] :
( ( ( ~ ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
| ( SV49 = SV195 ) ) )
= $true )
| ( ( ~ ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
| ( SV49 != SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1279,plain,
! [SV50: int] :
( ( ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
| ( SV50 = one_one_int ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
| ( SV50 != one_one_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1280,plain,
! [SV51: num] :
( ( ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
| ( SV51 = one ) )
= $false )
| ( ( ~ ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
| ( SV51 != one ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1281,plain,
! [SV52: num] :
( ( ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
| ( SV52 = one ) )
= $false )
| ( ( ~ ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
| ( SV52 != one ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1282,plain,
! [SV53: num] :
( ( ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
| ( SV53 = one ) )
= $false )
| ( ( ~ ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
| ( SV53 != one ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1283,plain,
! [SV54: num] :
( ( ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
| ( one = SV54 ) )
= $false )
| ( ( ~ ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
| ( one != SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1284,plain,
! [SV55: num] :
( ( ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
| ( one = SV55 ) )
= $false )
| ( ( ~ ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
| ( one != SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1285,plain,
! [SV56: num] :
( ( ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
| ( one = SV56 ) )
= $false )
| ( ( ~ ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
| ( one != SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1286,plain,
! [SV57: int] :
( ( ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ( ord_less_eq_int @ one_one_int @ SV57 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1287,plain,
! [SV58: int] :
( ( ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ( ord_less_eq_int @ one_one_int @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV58 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1288,plain,
! [SV59: int] :
( ( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ( ord_less_eq_int @ SV59 @ one_one_int ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ~ ( ord_less_eq_int @ SV59 @ one_one_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1289,plain,
! [SV60: int] :
( ( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ( ord_less_eq_int @ SV60 @ one_one_int ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ~ ( ord_less_eq_int @ SV60 @ one_one_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1290,plain,
! [SV61: real] :
( ( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ( ord_less_eq_real @ SV61 @ one_one_real ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ~ ( ord_less_eq_real @ SV61 @ one_one_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1291,plain,
! [SV62: num] :
( ( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ( ord_less_eq_num @ SV62 @ one ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ~ ( ord_less_eq_num @ SV62 @ one ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1292,plain,
! [SV63: num] :
( ( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ( ord_less_eq_num @ SV63 @ one ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ~ ( ord_less_eq_num @ SV63 @ one ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1293,plain,
! [SV196: int,SV66: int] :
( ( ( SV66 = SV196 )
= $true )
| ( ( ~ ( ord_less_eq_int @ SV66 @ SV196 ) )
= $true )
| ( ( ~ ( ord_less_eq_int @ SV196 @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1294,plain,
! [SV67: num] :
( ( ( ( ord_less_eq_num @ SV67 @ one )
| ( SV67 = one ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_num @ SV67 @ one )
| ( SV67 != one ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1295,plain,
! [SV197: int,SV69: int] :
( ( ( ord_less_eq_int @ SV69 @ SV197 )
= $true )
| ( ( SV69 = SV197 )
= $true )
| ( ( ord_less_eq_int @ SV197 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1296,plain,
! [SV200: nat,SV72: nat] :
( ( ( ~ ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( ord_less_eq_nat @ SV72 @ SV200 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( ord_less_eq_nat @ SV72 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1297,plain,
! [SV201: nat,SV77: nat] :
( ( ( ~ ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ( ord_less_eq_nat @ SV77 @ SV201 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ~ ( ord_less_eq_nat @ SV77 @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1147]) ).
thf(1298,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ~ ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
= ( power_power_nat @ SV202 @ SV256 ) ) )
| ~ ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1149]) ).
thf(1299,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= ( SV80
= ( power_power_nat @ SV202 @ SV256 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1149]) ).
thf(1300,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ~ ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
= SV257 ) )
| ~ ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1150]) ).
thf(1301,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= ( ( power_power_nat @ SV81 @ SV203 )
= SV257 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1150]) ).
thf(1302,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ~ ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) )
| ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1151]) ).
thf(1303,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1151]) ).
thf(1304,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ~ ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) )
| ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1152]) ).
thf(1305,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1152]) ).
thf(1306,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ~ ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) )
| ~ ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1153]) ).
thf(1307,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1153]) ).
thf(1308,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 ) )
| ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1154]) ).
thf(1309,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1154]) ).
thf(1310,plain,
! [SV209: nat,SV87: real] :
( ( ( ~ ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1155]) ).
thf(1311,plain,
! [SV94: int] :
( ( ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 = zero_zero_int ) )
= $false )
| ( ( ~ ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1312,plain,
! [SV95: int] :
( ( ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
| ( SV95 = zero_zero_int ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
| ( SV95 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1313,plain,
! [SV96: int] :
( ( ( ( ( nat2 @ SV96 )
= zero_zero_nat )
| ( ord_less_eq_int @ SV96 @ zero_zero_int ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
| ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1314,plain,
! [SV98: nat] :
( ( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 = zero_zero_nat ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 != zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1315,plain,
! [SV212: num,SV101: nat] :
( ( ( ~ ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
| ( SV101
= ( numeral_numeral_nat @ SV212 ) ) ) )
= $true )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
| ( SV101
!= ( numeral_numeral_nat @ SV212 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1316,plain,
! [SV105: int] :
( ( ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ( ord_less_eq_int @ zero_zero_int @ SV105 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1317,plain,
! [SV106: int] :
( ( ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ( ord_less_eq_int @ zero_zero_int @ SV106 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1318,plain,
! [SV107: int] :
( ( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ( ord_less_eq_int @ SV107 @ zero_zero_int ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1319,plain,
! [SV108: int] :
( ( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ( ord_less_eq_int @ SV108 @ zero_zero_int ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1320,plain,
! [SV109: real] :
( ( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ( ord_less_eq_real @ SV109 @ zero_zero_real ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1321,plain,
! [SV110: int] :
( ( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
| ( SV110 = zero_zero_int ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
| ( SV110 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1322,plain,
! [SV111: nat] :
( ( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
| ( SV111 = zero_zero_nat ) )
= $false )
| ( ( ~ ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
| ( SV111 != zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1323,plain,
! [SV112: real] :
( ( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
| ( SV112 = zero_zero_real ) )
= $false )
| ( ( ~ ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
| ( SV112 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1324,plain,
! [SV113: int] :
( ( ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 = zero_zero_int ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1325,plain,
! [SV266: nat,SV213: nat] :
( ( ( ord_less_eq_nat @ SV213 @ SV266 )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1326,plain,
! [SV214: nat,SV115: nat] :
( ( ( ~ ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ( ord_less_eq_nat @ SV115 @ SV214 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ~ ( ord_less_eq_nat @ SV115 @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1174]) ).
thf(1327,plain,
! [SV215: nat,SV118: int] :
( ( ( ~ ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1176]) ).
thf(1328,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $true ) )
= $true )
| ( ( ~ ( ~ SV119
| ~ $true ) )
= $true )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1178]) ).
thf(1329,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false )
| ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1179]) ).
thf(1330,plain,
! [SV119: $o] :
( ( ( SV119 = $false )
= $true )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1179]) ).
thf(1331,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1332,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1181]) ).
thf(1333,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1181]) ).
thf(1334,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1335,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1183]) ).
thf(1336,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1183]) ).
thf(1337,plain,
! [SV216: int,SV120: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false )
| ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV216 )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= ( SV120 = SV216 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1338,plain,
! [SV217: nat,SV121: nat] :
( ( ( SV121
= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV217 ) )
= $false )
| ( ( ( semiri2110766477t_real @ SV217 )
= ( log @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( semiri2110766477t_real @ SV121 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1339,plain,
! [SV218: nat,SV122: nat] :
( ( ( ord_less_eq_nat @ SV122 @ SV218 )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV122 ) @ ( semiri2019852685at_int @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1340,plain,
! [SV219: nat,SV123: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV123 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ SV219 )
= $false )
| ( ( ord_less_eq_nat @ SV123 @ SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1341,plain,
! [SV125: nat] :
( ( ( SV125 != zero_zero_nat )
| ( ( power_power_int @ zero_zero_int @ SV125 )
= one_one_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1342,plain,
! [SV125: nat] :
( ( ~ ( ( SV125 != zero_zero_nat ) )
| ( ( power_power_int @ zero_zero_int @ SV125 )
= zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1343,plain,
! [SV220: nat,SV126: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false )
| ( ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1344,plain,
! [SV263: int,SV221: nat,SV128: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV128 @ SV221 ) )
= $true )
| ( ( ~ ( ord_less_eq_int @ one_one_int @ SV263 )
| ( ord_less_eq_int @ ( power_power_int @ SV263 @ SV128 ) @ ( power_power_int @ SV263 @ SV221 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1345,plain,
! [SV222: nat > $o] :
( ( ( ~ ( ! [SY418: nat] : ( SV222 @ SY418 )
| ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1346,plain,
! [SV223: nat > $o] :
( ( ( ~ ( ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1195]) ).
thf(1347,plain,
! [SV224: int,SV132: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false )
| ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV224 )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( SV132 = SV224 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1348,plain,
! [SV133: int] :
( ( ( ! [SY371: nat] :
( SV133
!= ( semiri2019852685at_int @ SY371 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1349,plain,
! [SV225: int,SV134: int] :
( ( ( ord_less_eq_int @ SV134 @ SV225 )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ SV134 ) @ ( nat2 @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1350,plain,
! [SV226: nat,SV135: nat] :
( ( ( ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ SV135 )
= $false )
| ( ( ord_less_eq_nat @ SV226 @ ( power_power_nat @ SV135 @ SV226 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1351,plain,
! [SV227: int,SV137: nat] :
( ( ( ~ ( ( SV137
= ( nat2 @ SV227 ) )
| ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1201]) ).
thf(1352,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ( ( nat2 @ SV138 )
= SV228 )
| ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1353,plain,
! [SV229: int,SV139: real] :
( ( ( ord_less_eq_real @ SV139 @ ( ring_1_of_int_real @ SV229 ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV139 ) @ SV229 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1354,plain,
! [SV140: int] :
( ( ( ! [SY377: nat] :
( SV140
!= ( semiri2019852685at_int @ SY377 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1355,plain,
! [SV230: nat,SV141: int] :
( ( ( ord_less_eq_int @ one_one_int @ SV141 )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ ( power_power_int @ SV141 @ SV230 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1356,plain,
! [SV264: nat,SV231: nat,SV142: nat > int] :
( ( ( ~ ! [SY381: nat] : ( ord_less_eq_int @ ( SV142 @ SY381 ) @ ( SV142 @ ( suc @ SY381 ) ) ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV231 @ SV264 )
| ( ord_less_eq_int @ ( SV142 @ SV231 ) @ ( SV142 @ SV264 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1357,plain,
! [SV232: int,SV144: nat] :
( ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
| ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1210]) ).
thf(1358,plain,
! [SV233: nat,SV145: int] :
( ( ( SV145 != zero_zero_int )
= $false )
| ( ( ( power_power_int @ SV145 @ SV233 )
!= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1359,plain,
! [SV147: int] :
( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV147 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= SV147 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1214]) ).
thf(1360,plain,
! [SV147: int] :
( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV147 )
| ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= zero_zero_int ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1215]) ).
thf(1361,plain,
! [SV148: real] :
( ( ord_less_eq_real @ SV148 @ ( ring_1_of_int_real @ ( sK1_SY384 @ SV148 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1362,plain,
! [SV234: real,SV151: real] :
( ( ( ord_less_eq_real @ SV151 @ SV234 )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV151 ) @ ( archim1371465213g_real @ SV234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1218]) ).
thf(1363,plain,
! [SV152: real] :
( ( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
| ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1364,plain,
! [SV265: nat,SV235: nat,SV154: nat > int] :
( ( ( ~ ! [SY389: nat] : ( ord_less_eq_int @ ( SV154 @ ( suc @ SY389 ) ) @ ( SV154 @ SY389 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_nat @ SV235 @ SV265 )
| ( ord_less_eq_int @ ( SV154 @ SV265 ) @ ( SV154 @ SV235 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1365,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ~ ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1221]) ).
thf(1366,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ~ ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1367,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1225]) ).
thf(1368,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1369,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 ) ) )
= $true )
| ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1229]) ).
thf(1370,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ~ ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 ) ) )
= $true )
| ( ( ~ ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1371,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ~ ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1372,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ~ ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1373,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ~ ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1237]) ).
thf(1374,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ~ ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1239]) ).
thf(1375,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ~ ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1376,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ~ ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1377,plain,
! [SV168: num,SV14: real] :
( ( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1378,plain,
! [SV169: num,SV15: int] :
( ( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1379,plain,
! [SV170: num,SV16: int] :
( ( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1380,plain,
! [SV171: int,SV17: num] :
( ( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1381,plain,
! [SV172: int,SV18: num] :
( ( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1382,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ~ ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
= SV248 ) ) )
= $true )
| ( ( ~ ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
!= SV248 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1250]) ).
thf(1383,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ~ ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
= SV249 ) ) )
= $true )
| ( ( ~ ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
!= SV249 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1252]) ).
thf(1384,plain,
! [SV177: int,SV23: int] :
( ( ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 = SV177 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 != SV177 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1385,plain,
! [SV178: int,SV26: int] :
( ( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ( ord_less_eq_int @ SV26 @ SV178 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ~ ( ord_less_eq_int @ SV26 @ SV178 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1386,plain,
! [SV179: int,SV27: int] :
( ( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ( ord_less_eq_int @ SV27 @ SV179 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ~ ( ord_less_eq_int @ SV27 @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1387,plain,
! [SV180: num,SV30: int] :
( ( ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
| ( SV30
= ( numeral_numeral_int @ SV180 ) ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
| ( SV30
!= ( numeral_numeral_int @ SV180 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1388,plain,
! [SV181: num,SV31: int] :
( ( ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
| ( SV31
= ( numeral_numeral_int @ SV181 ) ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
| ( SV31
!= ( numeral_numeral_int @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1389,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ~ ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
= ( power_power_int @ SV182 @ SV250 ) ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
!= ( power_power_int @ SV182 @ SV250 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1259]) ).
thf(1390,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ~ ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
= ( power_power_int @ SV183 @ SV251 ) ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
!= ( power_power_int @ SV183 @ SV251 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1261]) ).
thf(1391,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ~ ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 ) ) )
= $true )
| ( ( ~ ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1263]) ).
thf(1392,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ~ ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1265]) ).
thf(1393,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ~ ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1394,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ~ ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1269]) ).
thf(1395,plain,
! [SV188: int,SV40: real] :
( ( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1396,plain,
! [SV189: num,SV42: num] :
( ( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ( ord_less_eq_num @ SV42 @ SV189 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ~ ( ord_less_eq_num @ SV42 @ SV189 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1397,plain,
! [SV190: num,SV43: num] :
( ( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ( ord_less_eq_num @ SV43 @ SV190 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ~ ( ord_less_eq_num @ SV43 @ SV190 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1398,plain,
! [SV191: num,SV45: num] :
( ( ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ( ord_less_eq_num @ SV45 @ SV191 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ~ ( ord_less_eq_num @ SV45 @ SV191 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1399,plain,
! [SV192: num,SV46: num] :
( ( ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
| ( SV46 = SV192 ) )
= $false )
| ( ( ~ ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
| ( SV46 != SV192 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1275]) ).
thf(1400,plain,
! [SV193: num,SV47: num] :
( ( ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
| ( SV47 = SV193 ) )
= $false )
| ( ( ~ ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
| ( SV47 != SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1401,plain,
! [SV194: num,SV48: num] :
( ( ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
| ( SV48 = SV194 ) )
= $false )
| ( ( ~ ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
| ( SV48 != SV194 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1402,plain,
! [SV195: num,SV49: num] :
( ( ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
| ( SV49 = SV195 ) )
= $false )
| ( ( ~ ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
| ( SV49 != SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1403,plain,
! [SV50: int] :
( ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
| ( SV50 != one_one_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1279]) ).
thf(1404,plain,
! [SV50: int] :
( ( ( SV50 = one_one_int )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
| ( SV50 != one_one_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1279]) ).
thf(1405,plain,
! [SV51: num] :
( ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= $false )
| ( ( ~ ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
| ( SV51 != one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1406,plain,
! [SV51: num] :
( ( ( SV51 = one )
= $false )
| ( ( ~ ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
| ( SV51 != one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1407,plain,
! [SV52: num] :
( ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= $false )
| ( ( ~ ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
| ( SV52 != one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1281]) ).
thf(1408,plain,
! [SV52: num] :
( ( ( SV52 = one )
= $false )
| ( ( ~ ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
| ( SV52 != one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1281]) ).
thf(1409,plain,
! [SV53: num] :
( ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= $false )
| ( ( ~ ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
| ( SV53 != one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1282]) ).
thf(1410,plain,
! [SV53: num] :
( ( ( SV53 = one )
= $false )
| ( ( ~ ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
| ( SV53 != one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1282]) ).
thf(1411,plain,
! [SV54: num] :
( ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= $false )
| ( ( ~ ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
| ( one != SV54 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1283]) ).
thf(1412,plain,
! [SV54: num] :
( ( ( one = SV54 )
= $false )
| ( ( ~ ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
| ( one != SV54 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1283]) ).
thf(1413,plain,
! [SV55: num] :
( ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= $false )
| ( ( ~ ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
| ( one != SV55 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1414,plain,
! [SV55: num] :
( ( ( one = SV55 )
= $false )
| ( ( ~ ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
| ( one != SV55 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1415,plain,
! [SV56: num] :
( ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= $false )
| ( ( ~ ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
| ( one != SV56 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1416,plain,
! [SV56: num] :
( ( ( one = SV56 )
= $false )
| ( ( ~ ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
| ( one != SV56 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1417,plain,
! [SV57: int] :
( ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV57 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1418,plain,
! [SV57: int] :
( ( ( ord_less_eq_int @ one_one_int @ SV57 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV57 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1419,plain,
! [SV58: int] :
( ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1420,plain,
! [SV58: int] :
( ( ( ord_less_eq_int @ one_one_int @ SV58 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1421,plain,
! [SV59: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ~ ( ord_less_eq_int @ SV59 @ one_one_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1422,plain,
! [SV59: int] :
( ( ( ord_less_eq_int @ SV59 @ one_one_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ~ ( ord_less_eq_int @ SV59 @ one_one_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1288]) ).
thf(1423,plain,
! [SV60: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ~ ( ord_less_eq_int @ SV60 @ one_one_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1424,plain,
! [SV60: int] :
( ( ( ord_less_eq_int @ SV60 @ one_one_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ~ ( ord_less_eq_int @ SV60 @ one_one_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1425,plain,
! [SV61: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ~ ( ord_less_eq_real @ SV61 @ one_one_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1426,plain,
! [SV61: real] :
( ( ( ord_less_eq_real @ SV61 @ one_one_real )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ~ ( ord_less_eq_real @ SV61 @ one_one_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1427,plain,
! [SV62: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ~ ( ord_less_eq_num @ SV62 @ one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1428,plain,
! [SV62: num] :
( ( ( ord_less_eq_num @ SV62 @ one )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ~ ( ord_less_eq_num @ SV62 @ one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1429,plain,
! [SV63: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ~ ( ord_less_eq_num @ SV63 @ one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1292]) ).
thf(1430,plain,
! [SV63: num] :
( ( ( ord_less_eq_num @ SV63 @ one )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ~ ( ord_less_eq_num @ SV63 @ one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1292]) ).
thf(1431,plain,
! [SV196: int,SV66: int] :
( ( ( ord_less_eq_int @ SV66 @ SV196 )
= $false )
| ( ( SV66 = SV196 )
= $true )
| ( ( ~ ( ord_less_eq_int @ SV196 @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1432,plain,
! [SV67: num] :
( ( ( ord_less_eq_num @ SV67 @ one )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_num @ SV67 @ one )
| ( SV67 != one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1294]) ).
thf(1433,plain,
! [SV67: num] :
( ( ( SV67 = one )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_num @ SV67 @ one )
| ( SV67 != one ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1294]) ).
thf(1434,plain,
! [SV200: nat,SV72: nat] :
( ( ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( ord_less_eq_nat @ SV72 @ SV200 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( ord_less_eq_nat @ SV72 @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1435,plain,
! [SV201: nat,SV77: nat] :
( ( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ( ord_less_eq_nat @ SV77 @ SV201 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ~ ( ord_less_eq_nat @ SV77 @ SV201 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1436,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ~ ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
= ( power_power_nat @ SV202 @ SV256 ) ) ) )
= $true )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1298]) ).
thf(1437,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ~ ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
= SV257 ) ) )
= $true )
| ( ( ~ ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1300]) ).
thf(1438,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ~ ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1302]) ).
thf(1439,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ~ ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1304]) ).
thf(1440,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ~ ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) ) )
= $true )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1306]) ).
thf(1441,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 ) ) )
= $true )
| ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1442,plain,
! [SV209: nat,SV87: real] :
( ( ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1443,plain,
! [SV94: int] :
( ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= $false )
| ( ( ~ ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1311]) ).
thf(1444,plain,
! [SV94: int] :
( ( ( SV94 = zero_zero_int )
= $false )
| ( ( ~ ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1311]) ).
thf(1445,plain,
! [SV95: int] :
( ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
| ( SV95 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1446,plain,
! [SV95: int] :
( ( ( SV95 = zero_zero_int )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
| ( SV95 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1312]) ).
thf(1447,plain,
! [SV96: int] :
( ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= $false )
| ( ( ~ ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
| ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1448,plain,
! [SV96: int] :
( ( ( ord_less_eq_int @ SV96 @ zero_zero_int )
= $false )
| ( ( ~ ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
| ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1449,plain,
! [SV98: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 != zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1450,plain,
! [SV98: nat] :
( ( ( SV98 = zero_zero_nat )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 != zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1451,plain,
! [SV212: num,SV101: nat] :
( ( ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
| ( SV101
= ( numeral_numeral_nat @ SV212 ) ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
| ( SV101
!= ( numeral_numeral_nat @ SV212 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1452,plain,
! [SV105: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1453,plain,
! [SV105: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV105 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1316]) ).
thf(1454,plain,
! [SV106: int] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1317]) ).
thf(1455,plain,
! [SV106: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV106 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1317]) ).
thf(1456,plain,
! [SV107: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1457,plain,
! [SV107: int] :
( ( ( ord_less_eq_int @ SV107 @ zero_zero_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1458,plain,
! [SV108: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1319]) ).
thf(1459,plain,
! [SV108: int] :
( ( ( ord_less_eq_int @ SV108 @ zero_zero_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1319]) ).
thf(1460,plain,
! [SV109: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1461,plain,
! [SV109: real] :
( ( ( ord_less_eq_real @ SV109 @ zero_zero_real )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1462,plain,
! [SV110: int] :
( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= $false )
| ( ( ~ ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
| ( SV110 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1463,plain,
! [SV110: int] :
( ( ( SV110 = zero_zero_int )
= $false )
| ( ( ~ ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
| ( SV110 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1464,plain,
! [SV111: nat] :
( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= $false )
| ( ( ~ ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
| ( SV111 != zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1465,plain,
! [SV111: nat] :
( ( ( SV111 = zero_zero_nat )
= $false )
| ( ( ~ ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
| ( SV111 != zero_zero_nat ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1466,plain,
! [SV112: real] :
( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= $false )
| ( ( ~ ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
| ( SV112 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1467,plain,
! [SV112: real] :
( ( ( SV112 = zero_zero_real )
= $false )
| ( ( ~ ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
| ( SV112 != zero_zero_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1468,plain,
! [SV113: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1469,plain,
! [SV113: int] :
( ( ( SV113 = zero_zero_int )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 != zero_zero_int ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1470,plain,
! [SV266: nat,SV213: nat] :
( ( ~ ( ( ord_less_eq_nat @ SV213 @ SV266 )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) )
| ~ ( ~ ( ord_less_eq_nat @ SV213 @ SV266 )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1325]) ).
thf(1471,plain,
! [SV266: nat,SV213: nat] :
( ( ( ord_less_eq_nat @ SV213 @ SV266 )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1325]) ).
thf(1472,plain,
! [SV214: nat,SV115: nat] :
( ( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ( ord_less_eq_nat @ SV115 @ SV214 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ~ ( ord_less_eq_nat @ SV115 @ SV214 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1473,plain,
! [SV215: nat,SV118: int] :
( ( ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1474,plain,
! [SV119: $o] :
( ( ( SV119
| $true )
= $false )
| ( ( ~ ( ~ SV119
| ~ $true ) )
= $true )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1475,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false ) )
= $true )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1329]) ).
thf(1476,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1477,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1478,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1479,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1335]) ).
thf(1480,plain,
! [SV120: int,SV216: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV216 ) )
= $true )
| ( ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= ( SV120 = SV216 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1337]) ).
thf(1481,plain,
! [SV125: nat] :
( ( ( SV125 != zero_zero_nat )
= $true )
| ( ( ( power_power_int @ zero_zero_int @ SV125 )
= one_one_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1341]) ).
thf(1482,plain,
! [SV125: nat] :
( ( ( ~ ( ( SV125 != zero_zero_nat ) ) )
= $true )
| ( ( ( power_power_int @ zero_zero_int @ SV125 )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1483,plain,
! [SV126: int,SV220: nat] :
( ( ( ~ ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
| ~ ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1343]) ).
thf(1484,plain,
! [SV126: int,SV220: nat] :
( ( ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1343]) ).
thf(1485,plain,
! [SV263: int,SV221: nat,SV128: nat] :
( ( ( ord_less_eq_nat @ SV128 @ SV221 )
= $false )
| ( ( ~ ( ord_less_eq_int @ one_one_int @ SV263 )
| ( ord_less_eq_int @ ( power_power_int @ SV263 @ SV128 ) @ ( power_power_int @ SV263 @ SV221 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1486,plain,
! [SV222: nat > $o] :
( ( ( ! [SY418: nat] : ( SV222 @ SY418 )
| ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1487,plain,
! [SV223: nat > $o] :
( ( ( ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1488,plain,
! [SV132: int,SV224: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV224 ) )
= $true )
| ( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( SV132 = SV224 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1347]) ).
thf(1489,plain,
! [SV133: int] :
( ( ( SV133
!= ( semiri2019852685at_int @ ( sK2_SY371 @ SV133 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV133 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1348]) ).
thf(1490,plain,
! [SV227: int,SV137: nat] :
( ( ( ( SV137
= ( nat2 @ SV227 ) )
| ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1491,plain,
! [SV228: nat,SV138: int] :
( ( ( ( ( nat2 @ SV138 )
= SV228 )
| ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1492,plain,
! [SV140: int] :
( ( ( SV140
!= ( semiri2019852685at_int @ ( sK3_SY377 @ SV140 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV140 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1354]) ).
thf(1493,plain,
! [SV264: nat,SV231: nat,SV142: nat > int] :
( ( ( ! [SY381: nat] : ( ord_less_eq_int @ ( SV142 @ SY381 ) @ ( SV142 @ ( suc @ SY381 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV231 @ SV264 )
| ( ord_less_eq_int @ ( SV142 @ SV231 ) @ ( SV142 @ SV264 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1494,plain,
! [SV232: int,SV144: nat] :
( ( ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
| ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1495,plain,
! [SV233: nat,SV145: int] :
( ( ( SV145 = zero_zero_int )
= $true )
| ( ( ( power_power_int @ SV145 @ SV233 )
!= zero_zero_int )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1496,plain,
! [SV147: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV147 ) )
= $true )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= SV147 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1359]) ).
thf(1497,plain,
! [SV147: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV147 ) )
= $true )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1360]) ).
thf(1498,plain,
! [SV152: real] :
( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1499,plain,
! [SV152: real] :
( ( ( ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1500,plain,
! [SV265: nat,SV235: nat,SV154: nat > int] :
( ( ( ! [SY389: nat] : ( ord_less_eq_int @ ( SV154 @ ( suc @ SY389 ) ) @ ( SV154 @ SY389 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV235 @ SV265 )
| ( ord_less_eq_int @ ( SV154 @ SV265 ) @ ( SV154 @ SV235 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1501,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1365]) ).
thf(1502,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1503,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1367]) ).
thf(1504,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1505,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1506,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 ) )
= $false )
| ( ( ~ ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1507,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1508,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1509,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1510,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1511,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1512,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1513,plain,
! [SV168: num,SV14: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1514,plain,
! [SV168: num,SV14: real] :
( ( ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1515,plain,
! [SV169: num,SV15: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1516,plain,
! [SV169: num,SV15: int] :
( ( ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1517,plain,
! [SV170: num,SV16: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1518,plain,
! [SV170: num,SV16: int] :
( ( ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1519,plain,
! [SV171: int,SV17: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1520,plain,
! [SV171: int,SV17: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1380]) ).
thf(1521,plain,
! [SV172: int,SV18: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1522,plain,
! [SV172: int,SV18: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1381]) ).
thf(1523,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
= SV248 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
!= SV248 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1524,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
= SV249 ) )
= $false )
| ( ( ~ ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
!= SV249 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1525,plain,
! [SV177: int,SV23: int] :
( ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 != SV177 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1526,plain,
! [SV177: int,SV23: int] :
( ( ( SV23 = SV177 )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 != SV177 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1527,plain,
! [SV178: int,SV26: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ~ ( ord_less_eq_int @ SV26 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1528,plain,
! [SV178: int,SV26: int] :
( ( ( ord_less_eq_int @ SV26 @ SV178 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ~ ( ord_less_eq_int @ SV26 @ SV178 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1529,plain,
! [SV179: int,SV27: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ~ ( ord_less_eq_int @ SV27 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1386]) ).
thf(1530,plain,
! [SV179: int,SV27: int] :
( ( ( ord_less_eq_int @ SV27 @ SV179 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ~ ( ord_less_eq_int @ SV27 @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1386]) ).
thf(1531,plain,
! [SV180: num,SV30: int] :
( ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
| ( SV30
!= ( numeral_numeral_int @ SV180 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1387]) ).
thf(1532,plain,
! [SV180: num,SV30: int] :
( ( ( SV30
= ( numeral_numeral_int @ SV180 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
| ( SV30
!= ( numeral_numeral_int @ SV180 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1387]) ).
thf(1533,plain,
! [SV181: num,SV31: int] :
( ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
| ( SV31
!= ( numeral_numeral_int @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1534,plain,
! [SV181: num,SV31: int] :
( ( ( SV31
= ( numeral_numeral_int @ SV181 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
| ( SV31
!= ( numeral_numeral_int @ SV181 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1535,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
= ( power_power_int @ SV182 @ SV250 ) ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
!= ( power_power_int @ SV182 @ SV250 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1536,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
= ( power_power_int @ SV183 @ SV251 ) ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
!= ( power_power_int @ SV183 @ SV251 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1537,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 ) )
= $false )
| ( ( ~ ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1538,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1539,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1540,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1541,plain,
! [SV188: int,SV40: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1395]) ).
thf(1542,plain,
! [SV188: int,SV40: real] :
( ( ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1395]) ).
thf(1543,plain,
! [SV189: num,SV42: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ~ ( ord_less_eq_num @ SV42 @ SV189 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1544,plain,
! [SV189: num,SV42: num] :
( ( ( ord_less_eq_num @ SV42 @ SV189 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ~ ( ord_less_eq_num @ SV42 @ SV189 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1545,plain,
! [SV190: num,SV43: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ~ ( ord_less_eq_num @ SV43 @ SV190 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1546,plain,
! [SV190: num,SV43: num] :
( ( ( ord_less_eq_num @ SV43 @ SV190 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ~ ( ord_less_eq_num @ SV43 @ SV190 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1547,plain,
! [SV191: num,SV45: num] :
( ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ~ ( ord_less_eq_num @ SV45 @ SV191 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1548,plain,
! [SV191: num,SV45: num] :
( ( ( ord_less_eq_num @ SV45 @ SV191 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ~ ( ord_less_eq_num @ SV45 @ SV191 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1549,plain,
! [SV192: num,SV46: num] :
( ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= $false )
| ( ( ~ ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
| ( SV46 != SV192 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1399]) ).
thf(1550,plain,
! [SV192: num,SV46: num] :
( ( ( SV46 = SV192 )
= $false )
| ( ( ~ ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
| ( SV46 != SV192 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1399]) ).
thf(1551,plain,
! [SV193: num,SV47: num] :
( ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= $false )
| ( ( ~ ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
| ( SV47 != SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1552,plain,
! [SV193: num,SV47: num] :
( ( ( SV47 = SV193 )
= $false )
| ( ( ~ ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
| ( SV47 != SV193 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1553,plain,
! [SV194: num,SV48: num] :
( ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= $false )
| ( ( ~ ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
| ( SV48 != SV194 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1554,plain,
! [SV194: num,SV48: num] :
( ( ( SV48 = SV194 )
= $false )
| ( ( ~ ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
| ( SV48 != SV194 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1555,plain,
! [SV195: num,SV49: num] :
( ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= $false )
| ( ( ~ ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
| ( SV49 != SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1556,plain,
! [SV195: num,SV49: num] :
( ( ( SV49 = SV195 )
= $false )
| ( ( ~ ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
| ( SV49 != SV195 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1557,plain,
! [SV50: int] :
( ( ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
| ( SV50 != one_one_int ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1558,plain,
! [SV50: int] :
( ( ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
| ( SV50 != one_one_int ) )
= $false )
| ( ( SV50 = one_one_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1559,plain,
! [SV51: num] :
( ( ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
| ( SV51 != one ) )
= $false )
| ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1560,plain,
! [SV51: num] :
( ( ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
| ( SV51 != one ) )
= $false )
| ( ( SV51 = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1561,plain,
! [SV52: num] :
( ( ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
| ( SV52 != one ) )
= $false )
| ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1562,plain,
! [SV52: num] :
( ( ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
| ( SV52 != one ) )
= $false )
| ( ( SV52 = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1563,plain,
! [SV53: num] :
( ( ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
| ( SV53 != one ) )
= $false )
| ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1564,plain,
! [SV53: num] :
( ( ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
| ( SV53 != one ) )
= $false )
| ( ( SV53 = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1565,plain,
! [SV54: num] :
( ( ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
| ( one != SV54 ) )
= $false )
| ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1566,plain,
! [SV54: num] :
( ( ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
| ( one != SV54 ) )
= $false )
| ( ( one = SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1567,plain,
! [SV55: num] :
( ( ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
| ( one != SV55 ) )
= $false )
| ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1568,plain,
! [SV55: num] :
( ( ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
| ( one != SV55 ) )
= $false )
| ( ( one = SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1569,plain,
! [SV56: num] :
( ( ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
| ( one != SV56 ) )
= $false )
| ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1415]) ).
thf(1570,plain,
! [SV56: num] :
( ( ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
| ( one != SV56 ) )
= $false )
| ( ( one = SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1571,plain,
! [SV57: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV57 ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1572,plain,
! [SV57: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV57 ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1573,plain,
! [SV58: int] :
( ( ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV58 ) )
= $false )
| ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1574,plain,
! [SV58: int] :
( ( ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
| ~ ( ord_less_eq_int @ one_one_int @ SV58 ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1575,plain,
! [SV59: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ~ ( ord_less_eq_int @ SV59 @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1576,plain,
! [SV59: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
| ~ ( ord_less_eq_int @ SV59 @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ SV59 @ one_one_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1577,plain,
! [SV60: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ~ ( ord_less_eq_int @ SV60 @ one_one_int ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1578,plain,
! [SV60: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
| ~ ( ord_less_eq_int @ SV60 @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ SV60 @ one_one_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1424]) ).
thf(1579,plain,
! [SV61: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ~ ( ord_less_eq_real @ SV61 @ one_one_real ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1580,plain,
! [SV61: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
| ~ ( ord_less_eq_real @ SV61 @ one_one_real ) )
= $false )
| ( ( ord_less_eq_real @ SV61 @ one_one_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1581,plain,
! [SV62: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ~ ( ord_less_eq_num @ SV62 @ one ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1582,plain,
! [SV62: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
| ~ ( ord_less_eq_num @ SV62 @ one ) )
= $false )
| ( ( ord_less_eq_num @ SV62 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1583,plain,
! [SV63: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ~ ( ord_less_eq_num @ SV63 @ one ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1584,plain,
! [SV63: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
| ~ ( ord_less_eq_num @ SV63 @ one ) )
= $false )
| ( ( ord_less_eq_num @ SV63 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1585,plain,
! [SV66: int,SV196: int] :
( ( ( ord_less_eq_int @ SV196 @ SV66 )
= $false )
| ( ( SV66 = SV196 )
= $true )
| ( ( ord_less_eq_int @ SV66 @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1586,plain,
! [SV67: num] :
( ( ( ~ ( ord_less_eq_num @ SV67 @ one )
| ( SV67 != one ) )
= $false )
| ( ( ord_less_eq_num @ SV67 @ one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1587,plain,
! [SV67: num] :
( ( ( ~ ( ord_less_eq_num @ SV67 @ one )
| ( SV67 != one ) )
= $false )
| ( ( SV67 = one )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1588,plain,
! [SV200: nat,SV72: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( ord_less_eq_nat @ SV72 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1589,plain,
! [SV200: nat,SV72: nat] :
( ( ( ord_less_eq_nat @ SV72 @ SV200 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( ord_less_eq_nat @ SV72 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1434]) ).
thf(1590,plain,
! [SV201: nat,SV77: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ~ ( ord_less_eq_nat @ SV77 @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1591,plain,
! [SV201: nat,SV77: nat] :
( ( ( ord_less_eq_nat @ SV77 @ SV201 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ~ ( ord_less_eq_nat @ SV77 @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1592,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
= ( power_power_nat @ SV202 @ SV256 ) ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1593,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
= SV257 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1594,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1595,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1439]) ).
thf(1596,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1597,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1598,plain,
! [SV209: nat,SV87: real] :
( ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1599,plain,
! [SV209: nat,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1600,plain,
! [SV94: int] :
( ( ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 != zero_zero_int ) )
= $false )
| ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1601,plain,
! [SV94: int] :
( ( ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
| ( SV94 != zero_zero_int ) )
= $false )
| ( ( SV94 = zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1602,plain,
! [SV95: int] :
( ( ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
| ( SV95 != zero_zero_int ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1603,plain,
! [SV95: int] :
( ( ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
| ( SV95 != zero_zero_int ) )
= $false )
| ( ( SV95 = zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1604,plain,
! [SV96: int] :
( ( ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
| ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) )
= $false )
| ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1605,plain,
! [SV96: int] :
( ( ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
| ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ SV96 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1606,plain,
! [SV98: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 != zero_zero_nat ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1607,plain,
! [SV98: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
| ( SV98 != zero_zero_nat ) )
= $false )
| ( ( SV98 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1608,plain,
! [SV212: num,SV101: nat] :
( ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
| ( SV101
!= ( numeral_numeral_nat @ SV212 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1451]) ).
thf(1609,plain,
! [SV212: num,SV101: nat] :
( ( ( SV101
= ( numeral_numeral_nat @ SV212 ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
| ( SV101
!= ( numeral_numeral_nat @ SV212 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1451]) ).
thf(1610,plain,
! [SV105: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1611,plain,
! [SV105: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1612,plain,
! [SV106: int] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1613,plain,
! [SV106: int] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1614,plain,
! [SV107: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1615,plain,
! [SV107: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
| ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ SV107 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1616,plain,
! [SV108: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1617,plain,
! [SV108: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
| ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ SV108 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1618,plain,
! [SV109: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1619,plain,
! [SV109: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
| ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ SV109 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1620,plain,
! [SV110: int] :
( ( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
| ( SV110 != zero_zero_int ) )
= $false )
| ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1621,plain,
! [SV110: int] :
( ( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
| ( SV110 != zero_zero_int ) )
= $false )
| ( ( SV110 = zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1622,plain,
! [SV111: nat] :
( ( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
| ( SV111 != zero_zero_nat ) )
= $false )
| ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1623,plain,
! [SV111: nat] :
( ( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
| ( SV111 != zero_zero_nat ) )
= $false )
| ( ( SV111 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1624,plain,
! [SV112: real] :
( ( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
| ( SV112 != zero_zero_real ) )
= $false )
| ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1625,plain,
! [SV112: real] :
( ( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
| ( SV112 != zero_zero_real ) )
= $false )
| ( ( SV112 = zero_zero_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1626,plain,
! [SV113: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 != zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1627,plain,
! [SV113: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
| ( SV113 != zero_zero_int ) )
= $false )
| ( ( SV113 = zero_zero_int )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1628,plain,
! [SV266: nat,SV213: nat] :
( ( ( ~ ( ( ord_less_eq_nat @ SV213 @ SV266 )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ SV213 @ SV266 )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1470]) ).
thf(1629,plain,
! [SV214: nat,SV115: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ~ ( ord_less_eq_nat @ SV115 @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1630,plain,
! [SV214: nat,SV115: nat] :
( ( ( ord_less_eq_nat @ SV115 @ SV214 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ~ ( ord_less_eq_nat @ SV115 @ SV214 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1631,plain,
! [SV215: nat,SV118: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1632,plain,
! [SV215: nat,SV118: int] :
( ( ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1473]) ).
thf(1633,plain,
! [SV119: $o] :
( ( SV119 = $false )
| ( ( ~ ( ~ SV119
| ~ $true ) )
= $true )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1634,plain,
! [SV119: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV119
| ~ $true ) )
= $true )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1635,plain,
! [SV119: $o] :
( ( ( SV119
| $false )
= $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1636,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1637,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1476]) ).
thf(1638,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1639,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1640,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1641,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1642,plain,
! [SV120: int,SV216: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= ( SV120 = SV216 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1643,plain,
! [SV125: nat] :
( ( ( SV125 = zero_zero_nat )
= $false )
| ( ( ( power_power_int @ zero_zero_int @ SV125 )
= one_one_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1644,plain,
! [SV125: nat] :
( ( ( SV125 != zero_zero_nat )
= $false )
| ( ( ( power_power_int @ zero_zero_int @ SV125 )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1645,plain,
! [SV126: int,SV220: nat] :
( ( ( ~ ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1646,plain,
! [SV221: nat,SV128: nat,SV263: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ SV263 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ SV263 @ SV128 ) @ ( power_power_int @ SV263 @ SV221 ) )
= $true )
| ( ( ord_less_eq_nat @ SV128 @ SV221 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1647,plain,
! [SV222: nat > $o] :
( ( ( ! [SY418: nat] : ( SV222 @ SY418 ) )
= $false )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1648,plain,
! [SV222: nat > $o] :
( ( ( ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1486]) ).
thf(1649,plain,
! [SV223: nat > $o] :
( ( ( ~ ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1650,plain,
! [SV223: nat > $o] :
( ( ( ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1487]) ).
thf(1651,plain,
! [SV132: int,SV224: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( SV132 = SV224 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1652,plain,
! [SV133: int] :
( ( ( SV133
= ( semiri2019852685at_int @ ( sK2_SY371 @ SV133 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1653,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
= ( nat2 @ SV227 ) )
= $false )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1654,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1655,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
= SV228 )
= $false )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1656,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1491]) ).
thf(1657,plain,
! [SV140: int] :
( ( ( SV140
= ( semiri2019852685at_int @ ( sK3_SY377 @ SV140 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV140 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1658,plain,
! [SV231: nat,SV264: nat,SV142: nat > int] :
( ( ( ord_less_eq_int @ ( SV142 @ ( sK4_SY381 @ SV264 @ SV231 @ SV142 ) ) @ ( SV142 @ ( suc @ ( sK4_SY381 @ SV264 @ SV231 @ SV142 ) ) ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV231 @ SV264 )
| ( ord_less_eq_int @ ( SV142 @ SV231 ) @ ( SV142 @ SV264 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1493]) ).
thf(1659,plain,
! [SV232: int,SV144: nat] :
( ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1494]) ).
thf(1660,plain,
! [SV232: int,SV144: nat] :
( ( ( ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1494]) ).
thf(1661,plain,
! [SV233: nat,SV145: int] :
( ( ( ( power_power_int @ SV145 @ SV233 )
= zero_zero_int )
= $false )
| ( ( SV145 = zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1662,plain,
! [SV147: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV147 )
= $false )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= SV147 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1663,plain,
! [SV147: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV147 ) )
= $false )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1664,plain,
! [SV152: real] :
( ( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $false )
| ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1665,plain,
! [SV152: real] :
( ( ( ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1499]) ).
thf(1666,plain,
! [SV235: nat,SV265: nat,SV154: nat > int] :
( ( ( ord_less_eq_int @ ( SV154 @ ( suc @ ( sK5_SY389 @ SV265 @ SV235 @ SV154 ) ) ) @ ( SV154 @ ( sK5_SY389 @ SV265 @ SV235 @ SV154 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_nat @ SV235 @ SV265 )
| ( ord_less_eq_int @ ( SV154 @ SV265 ) @ ( SV154 @ SV235 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1500]) ).
thf(1667,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1501]) ).
thf(1668,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1501]) ).
thf(1669,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1670,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1671,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1672,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1673,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1674,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1675,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1676,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1677,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= $false )
| ( ( ~ ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1678,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 )
= $false )
| ( ( ~ ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1679,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1680,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1681,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1682,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1683,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1684,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1685,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1686,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1687,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1688,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1689,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1690,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1691,plain,
! [SV168: num,SV14: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1692,plain,
! [SV168: num,SV14: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
| ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1693,plain,
! [SV169: num,SV15: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1515]) ).
thf(1694,plain,
! [SV169: num,SV15: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
| ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1695,plain,
! [SV170: num,SV16: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1696,plain,
! [SV170: num,SV16: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
| ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1697,plain,
! [SV171: int,SV17: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1698,plain,
! [SV171: int,SV17: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1699,plain,
! [SV172: int,SV18: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1700,plain,
! [SV172: int,SV18: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
| ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1701,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
!= SV248 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1702,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ SV21 @ SV175 )
= SV248 )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
!= SV248 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1703,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= $false )
| ( ( ~ ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
!= SV249 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1704,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_int @ SV22 @ SV176 )
= SV249 )
= $false )
| ( ( ~ ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
!= SV249 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1705,plain,
! [SV177: int,SV23: int] :
( ( ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 != SV177 ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1706,plain,
! [SV177: int,SV23: int] :
( ( ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
| ( SV23 != SV177 ) )
= $false )
| ( ( SV23 = SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1707,plain,
! [SV178: int,SV26: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ~ ( ord_less_eq_int @ SV26 @ SV178 ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1708,plain,
! [SV178: int,SV26: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
| ~ ( ord_less_eq_int @ SV26 @ SV178 ) )
= $false )
| ( ( ord_less_eq_int @ SV26 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1709,plain,
! [SV179: int,SV27: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ~ ( ord_less_eq_int @ SV27 @ SV179 ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1710,plain,
! [SV179: int,SV27: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
| ~ ( ord_less_eq_int @ SV27 @ SV179 ) )
= $false )
| ( ( ord_less_eq_int @ SV27 @ SV179 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1711,plain,
! [SV180: num,SV30: int] :
( ( ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
| ( SV30
!= ( numeral_numeral_int @ SV180 ) ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1712,plain,
! [SV180: num,SV30: int] :
( ( ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
| ( SV30
!= ( numeral_numeral_int @ SV180 ) ) )
= $false )
| ( ( SV30
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1713,plain,
! [SV181: num,SV31: int] :
( ( ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
| ( SV31
!= ( numeral_numeral_int @ SV181 ) ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1714,plain,
! [SV181: num,SV31: int] :
( ( ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
| ( SV31
!= ( numeral_numeral_int @ SV181 ) ) )
= $false )
| ( ( SV31
= ( numeral_numeral_int @ SV181 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1715,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
!= ( power_power_int @ SV182 @ SV250 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1716,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( SV33
= ( power_power_int @ SV182 @ SV250 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
!= ( power_power_int @ SV182 @ SV250 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1717,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
!= ( power_power_int @ SV183 @ SV251 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1718,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( SV34
= ( power_power_int @ SV183 @ SV251 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
!= ( power_power_int @ SV183 @ SV251 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1719,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= $false )
| ( ( ~ ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1720,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 )
= $false )
| ( ( ~ ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1721,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1722,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1723,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1724,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1725,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1726,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1727,plain,
! [SV188: int,SV40: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1728,plain,
! [SV188: int,SV40: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
| ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1729,plain,
! [SV189: num,SV42: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ~ ( ord_less_eq_num @ SV42 @ SV189 ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1730,plain,
! [SV189: num,SV42: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
| ~ ( ord_less_eq_num @ SV42 @ SV189 ) )
= $false )
| ( ( ord_less_eq_num @ SV42 @ SV189 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1731,plain,
! [SV190: num,SV43: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ~ ( ord_less_eq_num @ SV43 @ SV190 ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1732,plain,
! [SV190: num,SV43: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
| ~ ( ord_less_eq_num @ SV43 @ SV190 ) )
= $false )
| ( ( ord_less_eq_num @ SV43 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1733,plain,
! [SV191: num,SV45: num] :
( ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ~ ( ord_less_eq_num @ SV45 @ SV191 ) )
= $false )
| ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1734,plain,
! [SV191: num,SV45: num] :
( ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
| ~ ( ord_less_eq_num @ SV45 @ SV191 ) )
= $false )
| ( ( ord_less_eq_num @ SV45 @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1735,plain,
! [SV192: num,SV46: num] :
( ( ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
| ( SV46 != SV192 ) )
= $false )
| ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1736,plain,
! [SV192: num,SV46: num] :
( ( ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
| ( SV46 != SV192 ) )
= $false )
| ( ( SV46 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1737,plain,
! [SV193: num,SV47: num] :
( ( ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
| ( SV47 != SV193 ) )
= $false )
| ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1738,plain,
! [SV193: num,SV47: num] :
( ( ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
| ( SV47 != SV193 ) )
= $false )
| ( ( SV47 = SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1739,plain,
! [SV194: num,SV48: num] :
( ( ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
| ( SV48 != SV194 ) )
= $false )
| ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1740,plain,
! [SV194: num,SV48: num] :
( ( ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
| ( SV48 != SV194 ) )
= $false )
| ( ( SV48 = SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1741,plain,
! [SV195: num,SV49: num] :
( ( ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
| ( SV49 != SV195 ) )
= $false )
| ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1742,plain,
! [SV195: num,SV49: num] :
( ( ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
| ( SV49 != SV195 ) )
= $false )
| ( ( SV49 = SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1743,plain,
! [SV50: int] :
( ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
= $false )
| ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1557]) ).
thf(1744,plain,
! [SV50: int] :
( ( ( SV50 != one_one_int )
= $false )
| ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1557]) ).
thf(1745,plain,
! [SV50: int] :
( ( ( ( ring_1_of_int_real @ SV50 )
!= one_one_real )
= $false )
| ( ( SV50 = one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1558]) ).
thf(1746,plain,
! [SV50: int] :
( ( ( SV50 != one_one_int )
= $false )
| ( ( SV50 = one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1558]) ).
thf(1747,plain,
! [SV51: num] :
( ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
= $false )
| ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1559]) ).
thf(1748,plain,
! [SV51: num] :
( ( ( SV51 != one )
= $false )
| ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1559]) ).
thf(1749,plain,
! [SV51: num] :
( ( ( ( numeral_numeral_int @ SV51 )
!= one_one_int )
= $false )
| ( ( SV51 = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1560]) ).
thf(1750,plain,
! [SV51: num] :
( ( ( SV51 != one )
= $false )
| ( ( SV51 = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1560]) ).
thf(1751,plain,
! [SV52: num] :
( ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
= $false )
| ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1752,plain,
! [SV52: num] :
( ( ( SV52 != one )
= $false )
| ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1753,plain,
! [SV52: num] :
( ( ( ( numeral_numeral_real @ SV52 )
!= one_one_real )
= $false )
| ( ( SV52 = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1754,plain,
! [SV52: num] :
( ( ( SV52 != one )
= $false )
| ( ( SV52 = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1755,plain,
! [SV53: num] :
( ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
= $false )
| ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1563]) ).
thf(1756,plain,
! [SV53: num] :
( ( ( SV53 != one )
= $false )
| ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1563]) ).
thf(1757,plain,
! [SV53: num] :
( ( ( ( numeral_numeral_nat @ SV53 )
!= one_one_nat )
= $false )
| ( ( SV53 = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1758,plain,
! [SV53: num] :
( ( ( SV53 != one )
= $false )
| ( ( SV53 = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1564]) ).
thf(1759,plain,
! [SV54: num] :
( ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
= $false )
| ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1760,plain,
! [SV54: num] :
( ( ( one != SV54 )
= $false )
| ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1761,plain,
! [SV54: num] :
( ( ( one_one_int
!= ( numeral_numeral_int @ SV54 ) )
= $false )
| ( ( one = SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1762,plain,
! [SV54: num] :
( ( ( one != SV54 )
= $false )
| ( ( one = SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1763,plain,
! [SV55: num] :
( ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
= $false )
| ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1567]) ).
thf(1764,plain,
! [SV55: num] :
( ( ( one != SV55 )
= $false )
| ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1567]) ).
thf(1765,plain,
! [SV55: num] :
( ( ( one_one_real
!= ( numeral_numeral_real @ SV55 ) )
= $false )
| ( ( one = SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1766,plain,
! [SV55: num] :
( ( ( one != SV55 )
= $false )
| ( ( one = SV55 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1568]) ).
thf(1767,plain,
! [SV56: num] :
( ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
= $false )
| ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1768,plain,
! [SV56: num] :
( ( ( one != SV56 )
= $false )
| ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1769,plain,
! [SV56: num] :
( ( ( one_one_nat
!= ( numeral_numeral_nat @ SV56 ) )
= $false )
| ( ( one = SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1570]) ).
thf(1770,plain,
! [SV56: num] :
( ( ( one != SV56 )
= $false )
| ( ( one = SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1570]) ).
thf(1771,plain,
! [SV57: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1772,plain,
! [SV57: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ SV57 ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1773,plain,
! [SV57: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1572]) ).
thf(1774,plain,
! [SV57: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ SV57 ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1572]) ).
thf(1775,plain,
! [SV58: int] :
( ( ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) ) )
= $false )
| ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1776,plain,
! [SV58: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ SV58 ) )
= $false )
| ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1777,plain,
! [SV58: int] :
( ( ( ~ ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1574]) ).
thf(1778,plain,
! [SV58: int] :
( ( ( ~ ( ord_less_eq_int @ one_one_int @ SV58 ) )
= $false )
| ( ( ord_less_eq_int @ one_one_int @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1574]) ).
thf(1779,plain,
! [SV59: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1575]) ).
thf(1780,plain,
! [SV59: int] :
( ( ( ~ ( ord_less_eq_int @ SV59 @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1575]) ).
thf(1781,plain,
! [SV59: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ SV59 @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1782,plain,
! [SV59: int] :
( ( ( ~ ( ord_less_eq_int @ SV59 @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ SV59 @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1783,plain,
! [SV60: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1577]) ).
thf(1784,plain,
! [SV60: int] :
( ( ( ~ ( ord_less_eq_int @ SV60 @ one_one_int ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1577]) ).
thf(1785,plain,
! [SV60: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real ) )
= $false )
| ( ( ord_less_eq_int @ SV60 @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1786,plain,
! [SV60: int] :
( ( ( ~ ( ord_less_eq_int @ SV60 @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ SV60 @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1787,plain,
! [SV61: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1579]) ).
thf(1788,plain,
! [SV61: real] :
( ( ( ~ ( ord_less_eq_real @ SV61 @ one_one_real ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1579]) ).
thf(1789,plain,
! [SV61: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int ) )
= $false )
| ( ( ord_less_eq_real @ SV61 @ one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1580]) ).
thf(1790,plain,
! [SV61: real] :
( ( ( ~ ( ord_less_eq_real @ SV61 @ one_one_real ) )
= $false )
| ( ( ord_less_eq_real @ SV61 @ one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1580]) ).
thf(1791,plain,
! [SV62: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1792,plain,
! [SV62: num] :
( ( ( ~ ( ord_less_eq_num @ SV62 @ one ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1793,plain,
! [SV62: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int ) )
= $false )
| ( ( ord_less_eq_num @ SV62 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1794,plain,
! [SV62: num] :
( ( ( ~ ( ord_less_eq_num @ SV62 @ one ) )
= $false )
| ( ( ord_less_eq_num @ SV62 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1795,plain,
! [SV63: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1796,plain,
! [SV63: num] :
( ( ( ~ ( ord_less_eq_num @ SV63 @ one ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1797,plain,
! [SV63: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real ) )
= $false )
| ( ( ord_less_eq_num @ SV63 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1798,plain,
! [SV63: num] :
( ( ( ~ ( ord_less_eq_num @ SV63 @ one ) )
= $false )
| ( ( ord_less_eq_num @ SV63 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1799,plain,
! [SV67: num] :
( ( ( ~ ( ord_less_eq_num @ SV67 @ one ) )
= $false )
| ( ( ord_less_eq_num @ SV67 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1800,plain,
! [SV67: num] :
( ( ( SV67 != one )
= $false )
| ( ( ord_less_eq_num @ SV67 @ one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1801,plain,
! [SV67: num] :
( ( ( ~ ( ord_less_eq_num @ SV67 @ one ) )
= $false )
| ( ( SV67 = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1802,plain,
! [SV67: num] :
( ( ( SV67 != one )
= $false )
| ( ( SV67 = one )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1803,plain,
! [SV200: nat,SV72: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( ord_less_eq_nat @ SV72 @ SV200 ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1588]) ).
thf(1804,plain,
! [SV200: nat,SV72: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( ord_less_eq_nat @ SV72 @ SV200 ) )
= $false )
| ( ( ord_less_eq_nat @ SV72 @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1805,plain,
! [SV201: nat,SV77: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ~ ( ord_less_eq_nat @ SV77 @ SV201 ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1806,plain,
! [SV201: nat,SV77: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
| ~ ( ord_less_eq_nat @ SV77 @ SV201 ) )
= $false )
| ( ( ord_less_eq_nat @ SV77 @ SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1807,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1592]) ).
thf(1808,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( SV80
= ( power_power_nat @ SV202 @ SV256 ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1592]) ).
thf(1809,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1593]) ).
thf(1810,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_nat @ SV81 @ SV203 )
= SV257 )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1593]) ).
thf(1811,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1812,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1813,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1814,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1815,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1596]) ).
thf(1816,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1596]) ).
thf(1817,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1597]) ).
thf(1818,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 )
= $false )
| ( ( ~ ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1597]) ).
thf(1819,plain,
! [SV209: nat,SV87: real] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1820,plain,
! [SV209: nat,SV87: real] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
| ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1821,plain,
! [SV94: int] :
( ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
= $false )
| ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1822,plain,
! [SV94: int] :
( ( ( SV94 != zero_zero_int )
= $false )
| ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1823,plain,
! [SV94: int] :
( ( ( zero_zero_real
!= ( ring_1_of_int_real @ SV94 ) )
= $false )
| ( ( SV94 = zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1824,plain,
! [SV94: int] :
( ( ( SV94 != zero_zero_int )
= $false )
| ( ( SV94 = zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1825,plain,
! [SV95: int] :
( ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
= $false )
| ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1602]) ).
thf(1826,plain,
! [SV95: int] :
( ( ( SV95 != zero_zero_int )
= $false )
| ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1602]) ).
thf(1827,plain,
! [SV95: int] :
( ( ( ( ring_1_of_int_real @ SV95 )
!= zero_zero_real )
= $false )
| ( ( SV95 = zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1828,plain,
! [SV95: int] :
( ( ( SV95 != zero_zero_int )
= $false )
| ( ( SV95 = zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1829,plain,
! [SV96: int] :
( ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
= $false )
| ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1604]) ).
thf(1830,plain,
! [SV96: int] :
( ( ( ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) )
= $false )
| ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1604]) ).
thf(1831,plain,
! [SV96: int] :
( ( ( ( nat2 @ SV96 )
!= zero_zero_nat )
= $false )
| ( ( ord_less_eq_int @ SV96 @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1832,plain,
! [SV96: int] :
( ( ( ~ ( ord_less_eq_int @ SV96 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ SV96 @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1833,plain,
! [SV98: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1834,plain,
! [SV98: nat] :
( ( ( SV98 != zero_zero_nat )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1835,plain,
! [SV98: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int ) )
= $false )
| ( ( SV98 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1836,plain,
! [SV98: nat] :
( ( ( SV98 != zero_zero_nat )
= $false )
| ( ( SV98 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1837,plain,
! [SV212: num,SV101: nat] :
( ( ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
| ( SV101
!= ( numeral_numeral_nat @ SV212 ) ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1838,plain,
! [SV212: num,SV101: nat] :
( ( ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
| ( SV101
!= ( numeral_numeral_nat @ SV212 ) ) )
= $false )
| ( ( SV101
= ( numeral_numeral_nat @ SV212 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1839,plain,
! [SV105: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1840,plain,
! [SV105: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1841,plain,
! [SV105: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1842,plain,
! [SV105: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV105 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV105 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1843,plain,
! [SV106: int] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1844,plain,
! [SV106: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) )
= $false )
| ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1845,plain,
! [SV106: int] :
( ( ( ~ ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1846,plain,
! [SV106: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV106 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV106 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1847,plain,
! [SV107: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1614]) ).
thf(1848,plain,
! [SV107: int] :
( ( ( ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1614]) ).
thf(1849,plain,
! [SV107: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ SV107 @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1850,plain,
! [SV107: int] :
( ( ( ~ ( ord_less_eq_int @ SV107 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ SV107 @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1851,plain,
! [SV108: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1852,plain,
! [SV108: int] :
( ( ( ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1853,plain,
! [SV108: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_int @ SV108 @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1854,plain,
! [SV108: int] :
( ( ( ~ ( ord_less_eq_int @ SV108 @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ SV108 @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1855,plain,
! [SV109: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1856,plain,
! [SV109: real] :
( ( ( ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1857,plain,
! [SV109: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_real @ SV109 @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1619]) ).
thf(1858,plain,
! [SV109: real] :
( ( ( ~ ( ord_less_eq_real @ SV109 @ zero_zero_real ) )
= $false )
| ( ( ord_less_eq_real @ SV109 @ zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1619]) ).
thf(1859,plain,
! [SV110: int] :
( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
= $false )
| ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1860,plain,
! [SV110: int] :
( ( ( SV110 != zero_zero_int )
= $false )
| ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1861,plain,
! [SV110: int] :
( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_int )
= $false )
| ( ( SV110 = zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1862,plain,
! [SV110: int] :
( ( ( SV110 != zero_zero_int )
= $false )
| ( ( SV110 = zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1863,plain,
! [SV111: nat] :
( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
= $false )
| ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1864,plain,
! [SV111: nat] :
( ( ( SV111 != zero_zero_nat )
= $false )
| ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1865,plain,
! [SV111: nat] :
( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_nat )
= $false )
| ( ( SV111 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1623]) ).
thf(1866,plain,
! [SV111: nat] :
( ( ( SV111 != zero_zero_nat )
= $false )
| ( ( SV111 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1623]) ).
thf(1867,plain,
! [SV112: real] :
( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
= $false )
| ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1624]) ).
thf(1868,plain,
! [SV112: real] :
( ( ( SV112 != zero_zero_real )
= $false )
| ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1624]) ).
thf(1869,plain,
! [SV112: real] :
( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= zero_zero_real )
= $false )
| ( ( SV112 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1870,plain,
! [SV112: real] :
( ( ( SV112 != zero_zero_real )
= $false )
| ( ( SV112 = zero_zero_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1871,plain,
! [SV113: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1626]) ).
thf(1872,plain,
! [SV113: int] :
( ( ( SV113 != zero_zero_int )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1626]) ).
thf(1873,plain,
! [SV113: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int ) )
= $false )
| ( ( SV113 = zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1874,plain,
! [SV113: int] :
( ( ( SV113 != zero_zero_int )
= $false )
| ( ( SV113 = zero_zero_int )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1875,plain,
! [SV266: nat,SV213: nat] :
( ( ( ( ord_less_eq_nat @ SV213 @ SV266 )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ SV213 @ SV266 )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1876,plain,
! [SV214: nat,SV115: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ~ ( ord_less_eq_nat @ SV115 @ SV214 ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1877,plain,
! [SV214: nat,SV115: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
| ~ ( ord_less_eq_nat @ SV115 @ SV214 ) )
= $false )
| ( ( ord_less_eq_nat @ SV115 @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1630]) ).
thf(1878,plain,
! [SV215: nat,SV118: int] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1879,plain,
! [SV215: nat,SV118: int] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
| ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1880,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $true )
= $false )
| ( SV119 = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1633]) ).
thf(1881,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1634]) ).
thf(1882,plain,
! [SV119: $o] :
( ( SV119 = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1883,plain,
! [SV119: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1884,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1636]) ).
thf(1885,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1886,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1887,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1888,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1889,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1890,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1891,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1641]) ).
thf(1892,plain,
! [SV216: int,SV120: int] :
( ( ( ~ ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
| ( SV120 = SV216 ) )
| ~ ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
| ( SV120 != SV216 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1642]) ).
thf(1893,plain,
! [SV216: int,SV120: int] :
( ( ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= ( SV120 = SV216 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1642]) ).
thf(1894,plain,
! [SV125: nat] :
( ( ( SV125 = zero_zero_nat )
= $true )
| ( ( ( power_power_int @ zero_zero_int @ SV125 )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1644]) ).
thf(1895,plain,
! [SV126: int,SV220: nat] :
( ( ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1896,plain,
! [SV221: nat,SV128: nat,SV263: int] :
( ( ( ord_less_eq_int @ one_one_int @ SV263 )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV263 @ SV128 ) @ ( power_power_int @ SV263 @ SV221 ) )
= $true )
| ( ( ord_less_eq_nat @ SV128 @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1646]) ).
thf(1897,plain,
! [SV222: nat > $o] :
( ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1647]) ).
thf(1898,plain,
! [SV222: nat > $o] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
| ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1648]) ).
thf(1899,plain,
! [SV223: nat > $o] :
( ( ( ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1900,plain,
! [SV223: nat > $o] :
( ( ( ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1650]) ).
thf(1901,plain,
! [SV224: int,SV132: int] :
( ( ( ~ ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 = SV224 ) )
| ~ ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 != SV224 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1651]) ).
thf(1902,plain,
! [SV224: int,SV132: int] :
( ( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= ( SV132 = SV224 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1651]) ).
thf(1903,plain,
! [SV227: int,SV137: nat] :
( ( ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1904,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1905,plain,
! [SV228: nat,SV138: int] :
( ( ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1655]) ).
thf(1906,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1656]) ).
thf(1907,plain,
! [SV142: nat > int,SV264: nat,SV231: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV231 @ SV264 ) )
= $true )
| ( ( ord_less_eq_int @ ( SV142 @ SV231 ) @ ( SV142 @ SV264 ) )
= $true )
| ( ( ord_less_eq_int @ ( SV142 @ ( sK4_SY381 @ SV264 @ SV231 @ SV142 ) ) @ ( SV142 @ ( suc @ ( sK4_SY381 @ SV264 @ SV231 @ SV142 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1908,plain,
! [SV232: int,SV144: nat] :
( ( ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1909,plain,
! [SV232: int,SV144: nat] :
( ( ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) )
= $true )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1660]) ).
thf(1910,plain,
! [SV147: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV147 )
= $true )
| ( ( ( semiri2019852685at_int @ ( nat2 @ SV147 ) )
= zero_zero_int )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1663]) ).
thf(1911,plain,
! [SV152: real] :
( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
= $false )
| ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1912,plain,
! [SV152: real] :
( ( ( ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $false )
| ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1913,plain,
! [SV267: int,SV152: real] :
( ( ( SV152
!= ( ring_1_of_int_real @ SV267 ) )
= $true )
| ( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(1914,plain,
! [SV154: nat > int,SV265: nat,SV235: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV235 @ SV265 ) )
= $true )
| ( ( ord_less_eq_int @ ( SV154 @ SV265 ) @ ( SV154 @ SV235 ) )
= $true )
| ( ( ord_less_eq_int @ ( SV154 @ ( suc @ ( sK5_SY389 @ SV265 @ SV235 @ SV154 ) ) ) @ ( SV154 @ ( sK5_SY389 @ SV265 @ SV235 @ SV154 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1666]) ).
thf(1915,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1916,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1917,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) )
= $false )
| ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1918,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1919,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1920,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
| ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1921,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1922,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
| ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1923,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1924,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1925,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 ) )
= $false )
| ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1926,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1927,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1928,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
| ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) ) )
= $false )
| ( ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1929,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1930,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
| ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) ) )
= $false )
| ( ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1931,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1932,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1933,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) )
= $false )
| ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1934,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1935,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1936,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
| ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1688]) ).
thf(1937,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(1938,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
| ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1939,plain,
! [SV168: num,SV14: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1940,plain,
! [SV168: num,SV14: real] :
( ( ( ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1941,plain,
! [SV168: num,SV14: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1692]) ).
thf(1942,plain,
! [SV168: num,SV14: real] :
( ( ( ~ ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1692]) ).
thf(1943,plain,
! [SV169: num,SV15: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1944,plain,
! [SV169: num,SV15: int] :
( ( ( ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1945,plain,
! [SV169: num,SV15: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1946,plain,
! [SV169: num,SV15: int] :
( ( ( ~ ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1947,plain,
! [SV170: num,SV16: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1948,plain,
! [SV170: num,SV16: int] :
( ( ( ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1949,plain,
! [SV170: num,SV16: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1950,plain,
! [SV170: num,SV16: int] :
( ( ( ~ ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1951,plain,
! [SV171: int,SV17: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1952,plain,
! [SV171: int,SV17: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1953,plain,
! [SV171: int,SV17: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1954,plain,
! [SV171: int,SV17: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1955,plain,
! [SV172: int,SV18: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1699]) ).
thf(1956,plain,
! [SV172: int,SV18: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1699]) ).
thf(1957,plain,
! [SV172: int,SV18: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1700]) ).
thf(1958,plain,
! [SV172: int,SV18: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1700]) ).
thf(1959,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
!= SV248 ) )
= $false )
| ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1960,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
| ( ( power_power_int @ SV21 @ SV175 )
!= SV248 ) )
= $false )
| ( ( ( power_power_int @ SV21 @ SV175 )
= SV248 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1961,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
!= SV249 ) )
= $false )
| ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1962,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
| ( ( power_power_int @ SV22 @ SV176 )
!= SV249 ) )
= $false )
| ( ( ( power_power_int @ SV22 @ SV176 )
= SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1963,plain,
! [SV177: int,SV23: int] :
( ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1705]) ).
thf(1964,plain,
! [SV177: int,SV23: int] :
( ( ( SV23 != SV177 )
= $false )
| ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1705]) ).
thf(1965,plain,
! [SV177: int,SV23: int] :
( ( ( ( ring_1_of_int_real @ SV23 )
!= ( ring_1_of_int_real @ SV177 ) )
= $false )
| ( ( SV23 = SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1706]) ).
thf(1966,plain,
! [SV177: int,SV23: int] :
( ( ( SV23 != SV177 )
= $false )
| ( ( SV23 = SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1706]) ).
thf(1967,plain,
! [SV178: int,SV26: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1968,plain,
! [SV178: int,SV26: int] :
( ( ( ~ ( ord_less_eq_int @ SV26 @ SV178 ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1969,plain,
! [SV178: int,SV26: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV26 @ SV178 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1970,plain,
! [SV178: int,SV26: int] :
( ( ( ~ ( ord_less_eq_int @ SV26 @ SV178 ) )
= $false )
| ( ( ord_less_eq_int @ SV26 @ SV178 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1971,plain,
! [SV179: int,SV27: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1972,plain,
! [SV179: int,SV27: int] :
( ( ( ~ ( ord_less_eq_int @ SV27 @ SV179 ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1973,plain,
! [SV179: int,SV27: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV27 @ SV179 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1974,plain,
! [SV179: int,SV27: int] :
( ( ( ~ ( ord_less_eq_int @ SV27 @ SV179 ) )
= $false )
| ( ( ord_less_eq_int @ SV27 @ SV179 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1975,plain,
! [SV180: num,SV30: int] :
( ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1976,plain,
! [SV180: num,SV30: int] :
( ( ( SV30
!= ( numeral_numeral_int @ SV180 ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1977,plain,
! [SV180: num,SV30: int] :
( ( ( ( ring_1_of_int_int @ SV30 )
!= ( numeral_numeral_int @ SV180 ) )
= $false )
| ( ( SV30
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1712]) ).
thf(1978,plain,
! [SV180: num,SV30: int] :
( ( ( SV30
!= ( numeral_numeral_int @ SV180 ) )
= $false )
| ( ( SV30
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1712]) ).
thf(1979,plain,
! [SV181: num,SV31: int] :
( ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1980,plain,
! [SV181: num,SV31: int] :
( ( ( SV31
!= ( numeral_numeral_int @ SV181 ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1981,plain,
! [SV181: num,SV31: int] :
( ( ( ( ring_1_of_int_real @ SV31 )
!= ( numeral_numeral_real @ SV181 ) )
= $false )
| ( ( SV31
= ( numeral_numeral_int @ SV181 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1982,plain,
! [SV181: num,SV31: int] :
( ( ( SV31
!= ( numeral_numeral_int @ SV181 ) )
= $false )
| ( ( SV31
= ( numeral_numeral_int @ SV181 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1983,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
!= ( power_power_int @ SV182 @ SV250 ) ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1984,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
| ( SV33
!= ( power_power_int @ SV182 @ SV250 ) ) )
= $false )
| ( ( SV33
= ( power_power_int @ SV182 @ SV250 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1716]) ).
thf(1985,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
!= ( power_power_int @ SV183 @ SV251 ) ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1986,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
| ( SV34
!= ( power_power_int @ SV183 @ SV251 ) ) )
= $false )
| ( ( SV34
= ( power_power_int @ SV183 @ SV251 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1718]) ).
thf(1987,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 ) )
= $false )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1988,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
| ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1989,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) )
= $false )
| ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1721]) ).
thf(1990,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
| ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) ) )
= $false )
| ( ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1991,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1723]) ).
thf(1992,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
| ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1993,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1725]) ).
thf(1994,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
| ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1995,plain,
! [SV188: int,SV40: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1727]) ).
thf(1996,plain,
! [SV188: int,SV40: real] :
( ( ( ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1727]) ).
thf(1997,plain,
! [SV188: int,SV40: real] :
( ( ( ~ ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 ) )
= $false )
| ( ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1998,plain,
! [SV188: int,SV40: real] :
( ( ( ~ ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1728]) ).
thf(1999,plain,
! [SV189: num,SV42: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1729]) ).
thf(2000,plain,
! [SV189: num,SV42: num] :
( ( ( ~ ( ord_less_eq_num @ SV42 @ SV189 ) )
= $false )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1729]) ).
thf(2001,plain,
! [SV189: num,SV42: num] :
( ( ( ~ ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) ) )
= $false )
| ( ( ord_less_eq_num @ SV42 @ SV189 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(2002,plain,
! [SV189: num,SV42: num] :
( ( ( ~ ( ord_less_eq_num @ SV42 @ SV189 ) )
= $false )
| ( ( ord_less_eq_num @ SV42 @ SV189 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(2003,plain,
! [SV190: num,SV43: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(2004,plain,
! [SV190: num,SV43: num] :
( ( ( ~ ( ord_less_eq_num @ SV43 @ SV190 ) )
= $false )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(2005,plain,
! [SV190: num,SV43: num] :
( ( ( ~ ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) ) )
= $false )
| ( ( ord_less_eq_num @ SV43 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1732]) ).
thf(2006,plain,
! [SV190: num,SV43: num] :
( ( ( ~ ( ord_less_eq_num @ SV43 @ SV190 ) )
= $false )
| ( ( ord_less_eq_num @ SV43 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1732]) ).
thf(2007,plain,
! [SV191: num,SV45: num] :
( ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) ) )
= $false )
| ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(2008,plain,
! [SV191: num,SV45: num] :
( ( ( ~ ( ord_less_eq_num @ SV45 @ SV191 ) )
= $false )
| ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(2009,plain,
! [SV191: num,SV45: num] :
( ( ( ~ ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) ) )
= $false )
| ( ( ord_less_eq_num @ SV45 @ SV191 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(2010,plain,
! [SV191: num,SV45: num] :
( ( ( ~ ( ord_less_eq_num @ SV45 @ SV191 ) )
= $false )
| ( ( ord_less_eq_num @ SV45 @ SV191 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(2011,plain,
! [SV192: num,SV46: num] :
( ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
= $false )
| ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1735]) ).
thf(2012,plain,
! [SV192: num,SV46: num] :
( ( ( SV46 != SV192 )
= $false )
| ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1735]) ).
thf(2013,plain,
! [SV192: num,SV46: num] :
( ( ( ( bit0 @ SV46 )
!= ( bit0 @ SV192 ) )
= $false )
| ( ( SV46 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(2014,plain,
! [SV192: num,SV46: num] :
( ( ( SV46 != SV192 )
= $false )
| ( ( SV46 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1736]) ).
thf(2015,plain,
! [SV193: num,SV47: num] :
( ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
= $false )
| ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1737]) ).
thf(2016,plain,
! [SV193: num,SV47: num] :
( ( ( SV47 != SV193 )
= $false )
| ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1737]) ).
thf(2017,plain,
! [SV193: num,SV47: num] :
( ( ( ( bit0 @ SV47 )
!= ( bit0 @ SV193 ) )
= $false )
| ( ( SV47 = SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(2018,plain,
! [SV193: num,SV47: num] :
( ( ( SV47 != SV193 )
= $false )
| ( ( SV47 = SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1738]) ).
thf(2019,plain,
! [SV194: num,SV48: num] :
( ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
= $false )
| ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(2020,plain,
! [SV194: num,SV48: num] :
( ( ( SV48 != SV194 )
= $false )
| ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(2021,plain,
! [SV194: num,SV48: num] :
( ( ( ( numeral_numeral_int @ SV48 )
!= ( numeral_numeral_int @ SV194 ) )
= $false )
| ( ( SV48 = SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1740]) ).
thf(2022,plain,
! [SV194: num,SV48: num] :
( ( ( SV48 != SV194 )
= $false )
| ( ( SV48 = SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1740]) ).
thf(2023,plain,
! [SV195: num,SV49: num] :
( ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
= $false )
| ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1741]) ).
thf(2024,plain,
! [SV195: num,SV49: num] :
( ( ( SV49 != SV195 )
= $false )
| ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1741]) ).
thf(2025,plain,
! [SV195: num,SV49: num] :
( ( ( ( numeral_numeral_real @ SV49 )
!= ( numeral_numeral_real @ SV195 ) )
= $false )
| ( ( SV49 = SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1742]) ).
thf(2026,plain,
! [SV195: num,SV49: num] :
( ( ( SV49 != SV195 )
= $false )
| ( ( SV49 = SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1742]) ).
thf(2027,plain,
! [SV50: int] :
( ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= $true )
| ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1743]) ).
thf(2028,plain,
! [SV50: int] :
( ( ( SV50 = one_one_int )
= $true )
| ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1744]) ).
thf(2029,plain,
! [SV50: int] :
( ( ( ( ring_1_of_int_real @ SV50 )
= one_one_real )
= $true )
| ( ( SV50 = one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(2030,plain,
! [SV50: int] :
( ( ( SV50 = one_one_int )
= $true )
| ( ( SV50 = one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1746]) ).
thf(2031,plain,
! [SV51: num] :
( ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= $true )
| ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(2032,plain,
! [SV51: num] :
( ( ( SV51 = one )
= $true )
| ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(2033,plain,
! [SV51: num] :
( ( ( ( numeral_numeral_int @ SV51 )
= one_one_int )
= $true )
| ( ( SV51 = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1749]) ).
thf(2034,plain,
! [SV51: num] :
( ( ( SV51 = one )
= $true )
| ( ( SV51 = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1750]) ).
thf(2035,plain,
! [SV52: num] :
( ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= $true )
| ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(2036,plain,
! [SV52: num] :
( ( ( SV52 = one )
= $true )
| ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1752]) ).
thf(2037,plain,
! [SV52: num] :
( ( ( ( numeral_numeral_real @ SV52 )
= one_one_real )
= $true )
| ( ( SV52 = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1753]) ).
thf(2038,plain,
! [SV52: num] :
( ( ( SV52 = one )
= $true )
| ( ( SV52 = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1754]) ).
thf(2039,plain,
! [SV53: num] :
( ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= $true )
| ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(2040,plain,
! [SV53: num] :
( ( ( SV53 = one )
= $true )
| ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1756]) ).
thf(2041,plain,
! [SV53: num] :
( ( ( ( numeral_numeral_nat @ SV53 )
= one_one_nat )
= $true )
| ( ( SV53 = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(2042,plain,
! [SV53: num] :
( ( ( SV53 = one )
= $true )
| ( ( SV53 = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1758]) ).
thf(2043,plain,
! [SV54: num] :
( ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= $true )
| ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(2044,plain,
! [SV54: num] :
( ( ( one = SV54 )
= $true )
| ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1760]) ).
thf(2045,plain,
! [SV54: num] :
( ( ( one_one_int
= ( numeral_numeral_int @ SV54 ) )
= $true )
| ( ( one = SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1761]) ).
thf(2046,plain,
! [SV54: num] :
( ( ( one = SV54 )
= $true )
| ( ( one = SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(2047,plain,
! [SV55: num] :
( ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= $true )
| ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(2048,plain,
! [SV55: num] :
( ( ( one = SV55 )
= $true )
| ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(2049,plain,
! [SV55: num] :
( ( ( one_one_real
= ( numeral_numeral_real @ SV55 ) )
= $true )
| ( ( one = SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(2050,plain,
! [SV55: num] :
( ( ( one = SV55 )
= $true )
| ( ( one = SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(2051,plain,
! [SV56: num] :
( ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= $true )
| ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(2052,plain,
! [SV56: num] :
( ( ( one = SV56 )
= $true )
| ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(2053,plain,
! [SV56: num] :
( ( ( one_one_nat
= ( numeral_numeral_nat @ SV56 ) )
= $true )
| ( ( one = SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(2054,plain,
! [SV56: num] :
( ( ( one = SV56 )
= $true )
| ( ( one = SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(2055,plain,
! [SV57: int] :
( ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= $true )
| ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1771]) ).
thf(2056,plain,
! [SV57: int] :
( ( ( ord_less_eq_int @ one_one_int @ SV57 )
= $true )
| ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(2057,plain,
! [SV57: int] :
( ( ( ord_less_eq_int @ one_one_int @ ( ring_1_of_int_int @ SV57 ) )
= $true )
| ( ( ord_less_eq_int @ one_one_int @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(2058,plain,
! [SV57: int] :
( ( ( ord_less_eq_int @ one_one_int @ SV57 )
= $true )
| ( ( ord_less_eq_int @ one_one_int @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(2059,plain,
! [SV58: int] :
( ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= $true )
| ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(2060,plain,
! [SV58: int] :
( ( ( ord_less_eq_int @ one_one_int @ SV58 )
= $true )
| ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(2061,plain,
! [SV58: int] :
( ( ( ord_less_eq_real @ one_one_real @ ( ring_1_of_int_real @ SV58 ) )
= $true )
| ( ( ord_less_eq_int @ one_one_int @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(2062,plain,
! [SV58: int] :
( ( ( ord_less_eq_int @ one_one_int @ SV58 )
= $true )
| ( ( ord_less_eq_int @ one_one_int @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(2063,plain,
! [SV59: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(2064,plain,
! [SV59: int] :
( ( ( ord_less_eq_int @ SV59 @ one_one_int )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(2065,plain,
! [SV59: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV59 ) @ one_one_int )
= $true )
| ( ( ord_less_eq_int @ SV59 @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(2066,plain,
! [SV59: int] :
( ( ( ord_less_eq_int @ SV59 @ one_one_int )
= $true )
| ( ( ord_less_eq_int @ SV59 @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1782]) ).
thf(2067,plain,
! [SV60: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(2068,plain,
! [SV60: int] :
( ( ( ord_less_eq_int @ SV60 @ one_one_int )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1784]) ).
thf(2069,plain,
! [SV60: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV60 ) @ one_one_real )
= $true )
| ( ( ord_less_eq_int @ SV60 @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(2070,plain,
! [SV60: int] :
( ( ( ord_less_eq_int @ SV60 @ one_one_int )
= $true )
| ( ( ord_less_eq_int @ SV60 @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1786]) ).
thf(2071,plain,
! [SV61: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1787]) ).
thf(2072,plain,
! [SV61: real] :
( ( ( ord_less_eq_real @ SV61 @ one_one_real )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1788]) ).
thf(2073,plain,
! [SV61: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV61 ) @ one_one_int )
= $true )
| ( ( ord_less_eq_real @ SV61 @ one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1789]) ).
thf(2074,plain,
! [SV61: real] :
( ( ( ord_less_eq_real @ SV61 @ one_one_real )
= $true )
| ( ( ord_less_eq_real @ SV61 @ one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(2075,plain,
! [SV62: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1791]) ).
thf(2076,plain,
! [SV62: num] :
( ( ( ord_less_eq_num @ SV62 @ one )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(2077,plain,
! [SV62: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV62 ) @ one_one_int )
= $true )
| ( ( ord_less_eq_num @ SV62 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(2078,plain,
! [SV62: num] :
( ( ( ord_less_eq_num @ SV62 @ one )
= $true )
| ( ( ord_less_eq_num @ SV62 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1794]) ).
thf(2079,plain,
! [SV63: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= $true )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1795]) ).
thf(2080,plain,
! [SV63: num] :
( ( ( ord_less_eq_num @ SV63 @ one )
= $true )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1796]) ).
thf(2081,plain,
! [SV63: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV63 ) @ one_one_real )
= $true )
| ( ( ord_less_eq_num @ SV63 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(2082,plain,
! [SV63: num] :
( ( ( ord_less_eq_num @ SV63 @ one )
= $true )
| ( ( ord_less_eq_num @ SV63 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1798]) ).
thf(2083,plain,
! [SV67: num] :
( ( ( ord_less_eq_num @ SV67 @ one )
= $true )
| ( ( ord_less_eq_num @ SV67 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1799]) ).
thf(2084,plain,
! [SV67: num] :
( ( ( SV67 = one )
= $true )
| ( ( ord_less_eq_num @ SV67 @ one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(2085,plain,
! [SV67: num] :
( ( ( ord_less_eq_num @ SV67 @ one )
= $true )
| ( ( SV67 = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(2086,plain,
! [SV67: num] :
( ( ( SV67 = one )
= $true )
| ( ( SV67 = one )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(2087,plain,
! [SV200: nat,SV72: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1803]) ).
thf(2088,plain,
! [SV200: nat,SV72: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV72 @ SV200 ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1803]) ).
thf(2089,plain,
! [SV200: nat,SV72: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV72 @ SV200 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1804]) ).
thf(2090,plain,
! [SV200: nat,SV72: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV72 @ SV200 ) )
= $false )
| ( ( ord_less_eq_nat @ SV72 @ SV200 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1804]) ).
thf(2091,plain,
! [SV201: nat,SV77: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1805]) ).
thf(2092,plain,
! [SV201: nat,SV77: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV77 @ SV201 ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1805]) ).
thf(2093,plain,
! [SV201: nat,SV77: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV77 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1806]) ).
thf(2094,plain,
! [SV201: nat,SV77: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV77 @ SV201 ) )
= $false )
| ( ( ord_less_eq_nat @ SV77 @ SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1806]) ).
thf(2095,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(2096,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
| ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) ) )
= $false )
| ( ( SV80
= ( power_power_nat @ SV202 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(2097,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 ) )
= $false )
| ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(2098,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
| ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 ) )
= $false )
| ( ( ( power_power_nat @ SV81 @ SV203 )
= SV257 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(2099,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(2100,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
| ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(2101,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(2102,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
| ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(2103,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1815]) ).
thf(2104,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
| ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) ) )
= $false )
| ( ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(2105,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(2106,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
| ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 ) )
= $false )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(2107,plain,
! [SV209: nat,SV87: real] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1819]) ).
thf(2108,plain,
! [SV209: nat,SV87: real] :
( ( ( ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1819]) ).
thf(2109,plain,
! [SV209: nat,SV87: real] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 ) )
= $false )
| ( ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1820]) ).
thf(2110,plain,
! [SV209: nat,SV87: real] :
( ( ( ~ ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) ) )
= $false )
| ( ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1820]) ).
thf(2111,plain,
! [SV94: int] :
( ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= $true )
| ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1821]) ).
thf(2112,plain,
! [SV94: int] :
( ( ( SV94 = zero_zero_int )
= $true )
| ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1822]) ).
thf(2113,plain,
! [SV94: int] :
( ( ( zero_zero_real
= ( ring_1_of_int_real @ SV94 ) )
= $true )
| ( ( SV94 = zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1823]) ).
thf(2114,plain,
! [SV94: int] :
( ( ( SV94 = zero_zero_int )
= $true )
| ( ( SV94 = zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1824]) ).
thf(2115,plain,
! [SV95: int] :
( ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= $true )
| ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1825]) ).
thf(2116,plain,
! [SV95: int] :
( ( ( SV95 = zero_zero_int )
= $true )
| ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1826]) ).
thf(2117,plain,
! [SV95: int] :
( ( ( ( ring_1_of_int_real @ SV95 )
= zero_zero_real )
= $true )
| ( ( SV95 = zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1827]) ).
thf(2118,plain,
! [SV95: int] :
( ( ( SV95 = zero_zero_int )
= $true )
| ( ( SV95 = zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1828]) ).
thf(2119,plain,
! [SV96: int] :
( ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= $true )
| ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1829]) ).
thf(2120,plain,
! [SV96: int] :
( ( ( ord_less_eq_int @ SV96 @ zero_zero_int )
= $true )
| ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(2121,plain,
! [SV96: int] :
( ( ( ( nat2 @ SV96 )
= zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ SV96 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(2122,plain,
! [SV96: int] :
( ( ( ord_less_eq_int @ SV96 @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ SV96 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1832]) ).
thf(2123,plain,
! [SV98: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1833]) ).
thf(2124,plain,
! [SV98: nat] :
( ( ( SV98 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1834]) ).
thf(2125,plain,
! [SV98: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV98 ) @ zero_zero_int )
= $true )
| ( ( SV98 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1835]) ).
thf(2126,plain,
! [SV98: nat] :
( ( ( SV98 = zero_zero_nat )
= $true )
| ( ( SV98 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1836]) ).
thf(2127,plain,
! [SV212: num,SV101: nat] :
( ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1837]) ).
thf(2128,plain,
! [SV212: num,SV101: nat] :
( ( ( SV101
!= ( numeral_numeral_nat @ SV212 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1837]) ).
thf(2129,plain,
! [SV212: num,SV101: nat] :
( ( ( ( semiri2019852685at_int @ SV101 )
!= ( numeral_numeral_int @ SV212 ) )
= $false )
| ( ( SV101
= ( numeral_numeral_nat @ SV212 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(2130,plain,
! [SV212: num,SV101: nat] :
( ( ( SV101
!= ( numeral_numeral_nat @ SV212 ) )
= $false )
| ( ( SV101
= ( numeral_numeral_nat @ SV212 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1838]) ).
thf(2131,plain,
! [SV105: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1839]) ).
thf(2132,plain,
! [SV105: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV105 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1840]) ).
thf(2133,plain,
! [SV105: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ ( ring_1_of_int_int @ SV105 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1841]) ).
thf(2134,plain,
! [SV105: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV105 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV105 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1842]) ).
thf(2135,plain,
! [SV106: int] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= $true )
| ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1843]) ).
thf(2136,plain,
! [SV106: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV106 )
= $true )
| ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1844]) ).
thf(2137,plain,
! [SV106: int] :
( ( ( ord_less_eq_real @ zero_zero_real @ ( ring_1_of_int_real @ SV106 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1845]) ).
thf(2138,plain,
! [SV106: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV106 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV106 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(2139,plain,
! [SV107: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(2140,plain,
! [SV107: int] :
( ( ( ord_less_eq_int @ SV107 @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(2141,plain,
! [SV107: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV107 ) @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ SV107 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(2142,plain,
! [SV107: int] :
( ( ( ord_less_eq_int @ SV107 @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ SV107 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(2143,plain,
! [SV108: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(2144,plain,
! [SV108: int] :
( ( ( ord_less_eq_int @ SV108 @ zero_zero_int )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(2145,plain,
! [SV108: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV108 ) @ zero_zero_real )
= $true )
| ( ( ord_less_eq_int @ SV108 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1853]) ).
thf(2146,plain,
! [SV108: int] :
( ( ( ord_less_eq_int @ SV108 @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ SV108 @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(2147,plain,
! [SV109: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(2148,plain,
! [SV109: real] :
( ( ( ord_less_eq_real @ SV109 @ zero_zero_real )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1856]) ).
thf(2149,plain,
! [SV109: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV109 ) @ zero_zero_int )
= $true )
| ( ( ord_less_eq_real @ SV109 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1857]) ).
thf(2150,plain,
! [SV109: real] :
( ( ( ord_less_eq_real @ SV109 @ zero_zero_real )
= $true )
| ( ( ord_less_eq_real @ SV109 @ zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(2151,plain,
! [SV110: int] :
( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= $true )
| ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1859]) ).
thf(2152,plain,
! [SV110: int] :
( ( ( SV110 = zero_zero_int )
= $true )
| ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1860]) ).
thf(2153,plain,
! [SV110: int] :
( ( ( ( power_power_int @ SV110 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_int )
= $true )
| ( ( SV110 = zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1861]) ).
thf(2154,plain,
! [SV110: int] :
( ( ( SV110 = zero_zero_int )
= $true )
| ( ( SV110 = zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1862]) ).
thf(2155,plain,
! [SV111: nat] :
( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= $true )
| ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1863]) ).
thf(2156,plain,
! [SV111: nat] :
( ( ( SV111 = zero_zero_nat )
= $true )
| ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1864]) ).
thf(2157,plain,
! [SV111: nat] :
( ( ( ( power_power_nat @ SV111 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_nat )
= $true )
| ( ( SV111 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1865]) ).
thf(2158,plain,
! [SV111: nat] :
( ( ( SV111 = zero_zero_nat )
= $true )
| ( ( SV111 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1866]) ).
thf(2159,plain,
! [SV112: real] :
( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= $true )
| ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1867]) ).
thf(2160,plain,
! [SV112: real] :
( ( ( SV112 = zero_zero_real )
= $true )
| ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1868]) ).
thf(2161,plain,
! [SV112: real] :
( ( ( ( power_power_real @ SV112 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= zero_zero_real )
= $true )
| ( ( SV112 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1869]) ).
thf(2162,plain,
! [SV112: real] :
( ( ( SV112 = zero_zero_real )
= $true )
| ( ( SV112 = zero_zero_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1870]) ).
thf(2163,plain,
! [SV113: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1871]) ).
thf(2164,plain,
! [SV113: int] :
( ( ( SV113 = zero_zero_int )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1872]) ).
thf(2165,plain,
! [SV113: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV113 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ zero_zero_int )
= $true )
| ( ( SV113 = zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1873]) ).
thf(2166,plain,
! [SV113: int] :
( ( ( SV113 = zero_zero_int )
= $true )
| ( ( SV113 = zero_zero_int )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1874]) ).
thf(2167,plain,
! [SV266: nat,SV213: nat] :
( ( ( ord_less_eq_nat @ SV213 @ SV266 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ SV213 @ SV266 )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1875]) ).
thf(2168,plain,
! [SV266: nat,SV213: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ SV213 @ SV266 )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1875]) ).
thf(2169,plain,
! [SV214: nat,SV115: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1876]) ).
thf(2170,plain,
! [SV214: nat,SV115: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV115 @ SV214 ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1876]) ).
thf(2171,plain,
! [SV214: nat,SV115: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV115 @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1877]) ).
thf(2172,plain,
! [SV214: nat,SV115: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV115 @ SV214 ) )
= $false )
| ( ( ord_less_eq_nat @ SV115 @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1877]) ).
thf(2173,plain,
! [SV215: nat,SV118: int] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2174,plain,
! [SV215: nat,SV118: int] :
( ( ( ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2175,plain,
! [SV215: nat,SV118: int] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 ) )
= $false )
| ( ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1879]) ).
thf(2176,plain,
! [SV215: nat,SV118: int] :
( ( ( ~ ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1879]) ).
thf(2177,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( SV119 = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1880]) ).
thf(2178,plain,
! [SV119: $o] :
( ( ( ~ $true ) = $false )
| ( SV119 = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1880]) ).
thf(2179,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( $true = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1881]) ).
thf(2180,plain,
! [SV119: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1881]) ).
thf(2181,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( SV119 = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(2182,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(2183,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(2184,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(2185,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1885]) ).
thf(2186,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1885]) ).
thf(2187,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1886]) ).
thf(2188,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1887]) ).
thf(2189,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(2190,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(2191,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(2192,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(2193,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1890]) ).
thf(2194,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1891]) ).
thf(2195,plain,
! [SV216: int,SV120: int] :
( ( ( ~ ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
| ( SV120 = SV216 ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
| ( SV120 != SV216 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1892]) ).
thf(2196,plain,
! [SV126: int,SV220: nat] :
( ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1895]) ).
thf(2197,plain,
! [SV126: int,SV220: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1895]) ).
thf(2198,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $false )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(2199,plain,
! [SV222: nat > $o] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1898]) ).
thf(2200,plain,
! [SV222: nat > $o] :
( ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1898]) ).
thf(2201,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ~ ( SV223 @ SV268 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1899]) ).
thf(2202,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV269 )
| ~ ( SV223 @ ( nat2 @ SV269 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1900]) ).
thf(2203,plain,
! [SV224: int,SV132: int] :
( ( ( ~ ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 = SV224 ) ) )
= $true )
| ( ( ~ ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 != SV224 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1901]) ).
thf(2204,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
!= ( nat2 @ SV227 ) )
= $false )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1903]) ).
thf(2205,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1903]) ).
thf(2206,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1904]) ).
thf(2207,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
!= SV228 )
= $false )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1905]) ).
thf(2208,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1905]) ).
thf(2209,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1906]) ).
thf(2210,plain,
! [SV142: nat > int,SV264: nat,SV231: nat] :
( ( ( ord_less_eq_nat @ SV231 @ SV264 )
= $false )
| ( ( ord_less_eq_int @ ( SV142 @ SV231 ) @ ( SV142 @ SV264 ) )
= $true )
| ( ( ord_less_eq_int @ ( SV142 @ ( sK4_SY381 @ SV264 @ SV231 @ SV142 ) ) @ ( SV142 @ ( suc @ ( sK4_SY381 @ SV264 @ SV231 @ SV142 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1907]) ).
thf(2211,plain,
! [SV232: int,SV144: nat] :
( ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
= $false )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1908]) ).
thf(2212,plain,
! [SV232: int,SV144: nat] :
( ( ( ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1908]) ).
thf(2213,plain,
! [SV232: int,SV144: nat] :
( ( ( SV144
!= ( nat2 @ SV232 ) )
= $true )
| ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) )
= $true )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1909]) ).
thf(2214,plain,
! [SV152: real] :
( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $true )
| ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1911]) ).
thf(2215,plain,
! [SV152: real] :
( ( ( ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $true )
| ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1912]) ).
thf(2216,plain,
! [SV267: int,SV152: real] :
( ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false )
| ( ( ~ ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1913]) ).
thf(2217,plain,
! [SV154: nat > int,SV265: nat,SV235: nat] :
( ( ( ord_less_eq_nat @ SV235 @ SV265 )
= $false )
| ( ( ord_less_eq_int @ ( SV154 @ SV265 ) @ ( SV154 @ SV235 ) )
= $true )
| ( ( ord_less_eq_int @ ( SV154 @ ( suc @ ( sK5_SY389 @ SV265 @ SV235 @ SV154 ) ) ) @ ( SV154 @ ( sK5_SY389 @ SV265 @ SV235 @ SV154 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1914]) ).
thf(2218,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(2219,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(2220,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1916]) ).
thf(2221,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1916]) ).
thf(2222,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1917]) ).
thf(2223,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) )
= $false )
| ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1917]) ).
thf(2224,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ~ ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(2225,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(2226,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1919]) ).
thf(2227,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1919]) ).
thf(2228,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(2229,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ~ ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(2230,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(2231,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1921]) ).
thf(2232,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1922]) ).
thf(2233,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ~ ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1922]) ).
thf(2234,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1923]) ).
thf(2235,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1923]) ).
thf(2236,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= ( ring_1_of_int_int @ SV240 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(2237,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
!= SV240 )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(2238,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
= $false )
| ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1925]) ).
thf(2239,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 )
= $false )
| ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1925]) ).
thf(2240,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
!= ( ring_1_of_int_real @ SV241 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1926]) ).
thf(2241,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
!= SV241 )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1926]) ).
thf(2242,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1927]) ).
thf(2243,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1927]) ).
thf(2244,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ring_1_of_int_int @ SV8 )
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false )
| ( ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1928]) ).
thf(2245,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( SV8
!= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false )
| ( ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1928]) ).
thf(2246,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1929]) ).
thf(2247,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1929]) ).
thf(2248,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ring_1_of_int_real @ SV9 )
!= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $false )
| ( ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(2249,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( SV9
!= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $false )
| ( ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(2250,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1931]) ).
thf(2251,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1931]) ).
thf(2252,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(2253,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1932]) ).
thf(2254,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1933]) ).
thf(2255,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) )
= $false )
| ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1933]) ).
thf(2256,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ~ ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1934]) ).
thf(2257,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1934]) ).
thf(2258,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(2259,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(2260,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ~ ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(2261,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ~ ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1936]) ).
thf(2262,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2263,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) )
= $false )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2264,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2265,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ~ ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2266,plain,
! [SV168: num,SV14: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(2267,plain,
! [SV168: num,SV14: real] :
( ( ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1940]) ).
thf(2268,plain,
! [SV168: num,SV14: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV14 ) @ ( numeral_numeral_int @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1941]) ).
thf(2269,plain,
! [SV168: num,SV14: real] :
( ( ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) )
= $true )
| ( ( ord_less_eq_real @ SV14 @ ( numeral_numeral_real @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1942]) ).
thf(2270,plain,
! [SV169: num,SV15: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(2271,plain,
! [SV169: num,SV15: int] :
( ( ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1944]) ).
thf(2272,plain,
! [SV169: num,SV15: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV15 ) @ ( numeral_numeral_int @ SV169 ) )
= $true )
| ( ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1945]) ).
thf(2273,plain,
! [SV169: num,SV15: int] :
( ( ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) )
= $true )
| ( ( ord_less_eq_int @ SV15 @ ( numeral_numeral_int @ SV169 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1946]) ).
thf(2274,plain,
! [SV170: num,SV16: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1947]) ).
thf(2275,plain,
! [SV170: num,SV16: int] :
( ( ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1948]) ).
thf(2276,plain,
! [SV170: num,SV16: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV16 ) @ ( numeral_numeral_real @ SV170 ) )
= $true )
| ( ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1949]) ).
thf(2277,plain,
! [SV170: num,SV16: int] :
( ( ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) )
= $true )
| ( ( ord_less_eq_int @ SV16 @ ( numeral_numeral_int @ SV170 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1950]) ).
thf(2278,plain,
! [SV171: int,SV17: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1951]) ).
thf(2279,plain,
! [SV171: int,SV17: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1952]) ).
thf(2280,plain,
! [SV171: int,SV17: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ ( ring_1_of_int_int @ SV171 ) )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1953]) ).
thf(2281,plain,
! [SV171: int,SV17: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV17 ) @ SV171 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1954]) ).
thf(2282,plain,
! [SV172: int,SV18: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= $true )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1955]) ).
thf(2283,plain,
! [SV172: int,SV18: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 )
= $true )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(2284,plain,
! [SV172: int,SV18: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV18 ) @ ( ring_1_of_int_real @ SV172 ) )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(2285,plain,
! [SV172: int,SV18: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV18 ) @ SV172 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(2286,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
= $false )
| ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1959]) ).
thf(2287,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ SV21 @ SV175 )
!= SV248 )
= $false )
| ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1959]) ).
thf(2288,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
!= ( ring_1_of_int_int @ SV248 ) )
= $false )
| ( ( ( power_power_int @ SV21 @ SV175 )
= SV248 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2289,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ SV21 @ SV175 )
!= SV248 )
= $false )
| ( ( ( power_power_int @ SV21 @ SV175 )
= SV248 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2290,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
= $false )
| ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2291,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_int @ SV22 @ SV176 )
!= SV249 )
= $false )
| ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2292,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
!= ( ring_1_of_int_real @ SV249 ) )
= $false )
| ( ( ( power_power_int @ SV22 @ SV176 )
= SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1962]) ).
thf(2293,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_int @ SV22 @ SV176 )
!= SV249 )
= $false )
| ( ( ( power_power_int @ SV22 @ SV176 )
= SV249 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1962]) ).
thf(2294,plain,
! [SV177: int,SV23: int] :
( ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= $true )
| ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1963]) ).
thf(2295,plain,
! [SV177: int,SV23: int] :
( ( ( SV23 = SV177 )
= $true )
| ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1964]) ).
thf(2296,plain,
! [SV177: int,SV23: int] :
( ( ( ( ring_1_of_int_real @ SV23 )
= ( ring_1_of_int_real @ SV177 ) )
= $true )
| ( ( SV23 = SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1965]) ).
thf(2297,plain,
! [SV177: int,SV23: int] :
( ( ( SV23 = SV177 )
= $true )
| ( ( SV23 = SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1966]) ).
thf(2298,plain,
! [SV178: int,SV26: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1967]) ).
thf(2299,plain,
! [SV178: int,SV26: int] :
( ( ( ord_less_eq_int @ SV26 @ SV178 )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1968]) ).
thf(2300,plain,
! [SV178: int,SV26: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV26 ) @ ( ring_1_of_int_int @ SV178 ) )
= $true )
| ( ( ord_less_eq_int @ SV26 @ SV178 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1969]) ).
thf(2301,plain,
! [SV178: int,SV26: int] :
( ( ( ord_less_eq_int @ SV26 @ SV178 )
= $true )
| ( ( ord_less_eq_int @ SV26 @ SV178 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1970]) ).
thf(2302,plain,
! [SV179: int,SV27: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1971]) ).
thf(2303,plain,
! [SV179: int,SV27: int] :
( ( ( ord_less_eq_int @ SV27 @ SV179 )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1972]) ).
thf(2304,plain,
! [SV179: int,SV27: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV27 ) @ ( ring_1_of_int_real @ SV179 ) )
= $true )
| ( ( ord_less_eq_int @ SV27 @ SV179 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1973]) ).
thf(2305,plain,
! [SV179: int,SV27: int] :
( ( ( ord_less_eq_int @ SV27 @ SV179 )
= $true )
| ( ( ord_less_eq_int @ SV27 @ SV179 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1974]) ).
thf(2306,plain,
! [SV180: num,SV30: int] :
( ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= $true )
| ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1975]) ).
thf(2307,plain,
! [SV180: num,SV30: int] :
( ( ( SV30
= ( numeral_numeral_int @ SV180 ) )
= $true )
| ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1976]) ).
thf(2308,plain,
! [SV180: num,SV30: int] :
( ( ( ( ring_1_of_int_int @ SV30 )
= ( numeral_numeral_int @ SV180 ) )
= $true )
| ( ( SV30
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1977]) ).
thf(2309,plain,
! [SV180: num,SV30: int] :
( ( ( SV30
= ( numeral_numeral_int @ SV180 ) )
= $true )
| ( ( SV30
= ( numeral_numeral_int @ SV180 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1978]) ).
thf(2310,plain,
! [SV181: num,SV31: int] :
( ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= $true )
| ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1979]) ).
thf(2311,plain,
! [SV181: num,SV31: int] :
( ( ( SV31
= ( numeral_numeral_int @ SV181 ) )
= $true )
| ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1980]) ).
thf(2312,plain,
! [SV181: num,SV31: int] :
( ( ( ( ring_1_of_int_real @ SV31 )
= ( numeral_numeral_real @ SV181 ) )
= $true )
| ( ( SV31
= ( numeral_numeral_int @ SV181 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1981]) ).
thf(2313,plain,
! [SV181: num,SV31: int] :
( ( ( SV31
= ( numeral_numeral_int @ SV181 ) )
= $true )
| ( ( SV31
= ( numeral_numeral_int @ SV181 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1982]) ).
thf(2314,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1983]) ).
thf(2315,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( SV33
!= ( power_power_int @ SV182 @ SV250 ) )
= $false )
| ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1983]) ).
thf(2316,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ring_1_of_int_int @ SV33 )
!= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $false )
| ( ( SV33
= ( power_power_int @ SV182 @ SV250 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1984]) ).
thf(2317,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( SV33
!= ( power_power_int @ SV182 @ SV250 ) )
= $false )
| ( ( SV33
= ( power_power_int @ SV182 @ SV250 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1984]) ).
thf(2318,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2319,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( SV34
!= ( power_power_int @ SV183 @ SV251 ) )
= $false )
| ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2320,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ring_1_of_int_real @ SV34 )
!= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $false )
| ( ( SV34
= ( power_power_int @ SV183 @ SV251 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1986]) ).
thf(2321,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( SV34
!= ( power_power_int @ SV183 @ SV251 ) )
= $false )
| ( ( SV34
= ( power_power_int @ SV183 @ SV251 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1986]) ).
thf(2322,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
= $false )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1987]) ).
thf(2323,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 )
= $false )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1987]) ).
thf(2324,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
!= ( nat2 @ SV252 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2325,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
!= SV252 )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2326,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $false )
| ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1989]) ).
thf(2327,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $false )
| ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1989]) ).
thf(2328,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( nat2 @ SV36 )
!= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $false )
| ( ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2329,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( SV36
!= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $false )
| ( ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2330,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1991]) ).
thf(2331,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1991]) ).
thf(2332,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2333,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2334,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2335,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2336,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ~ ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1994]) ).
thf(2337,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ~ ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) ) )
= $false )
| ( ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1994]) ).
thf(2338,plain,
! [SV188: int,SV40: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2339,plain,
! [SV188: int,SV40: real] :
( ( ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) )
= $true )
| ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1996]) ).
thf(2340,plain,
! [SV188: int,SV40: real] :
( ( ( ord_less_eq_int @ ( archim1371465213g_real @ SV40 ) @ SV188 )
= $true )
| ( ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2341,plain,
! [SV188: int,SV40: real] :
( ( ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) )
= $true )
| ( ( ord_less_eq_real @ SV40 @ ( ring_1_of_int_real @ SV188 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(2342,plain,
! [SV189: num,SV42: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1999]) ).
thf(2343,plain,
! [SV189: num,SV42: num] :
( ( ( ord_less_eq_num @ SV42 @ SV189 )
= $true )
| ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2000]) ).
thf(2344,plain,
! [SV189: num,SV42: num] :
( ( ( ord_less_eq_int @ ( numeral_numeral_int @ SV42 ) @ ( numeral_numeral_int @ SV189 ) )
= $true )
| ( ( ord_less_eq_num @ SV42 @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2001]) ).
thf(2345,plain,
! [SV189: num,SV42: num] :
( ( ( ord_less_eq_num @ SV42 @ SV189 )
= $true )
| ( ( ord_less_eq_num @ SV42 @ SV189 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2002]) ).
thf(2346,plain,
! [SV190: num,SV43: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= $true )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2003]) ).
thf(2347,plain,
! [SV190: num,SV43: num] :
( ( ( ord_less_eq_num @ SV43 @ SV190 )
= $true )
| ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2004]) ).
thf(2348,plain,
! [SV190: num,SV43: num] :
( ( ( ord_less_eq_real @ ( numeral_numeral_real @ SV43 ) @ ( numeral_numeral_real @ SV190 ) )
= $true )
| ( ( ord_less_eq_num @ SV43 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2349,plain,
! [SV190: num,SV43: num] :
( ( ( ord_less_eq_num @ SV43 @ SV190 )
= $true )
| ( ( ord_less_eq_num @ SV43 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2006]) ).
thf(2350,plain,
! [SV191: num,SV45: num] :
( ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= $true )
| ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2007]) ).
thf(2351,plain,
! [SV191: num,SV45: num] :
( ( ( ord_less_eq_num @ SV45 @ SV191 )
= $true )
| ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2352,plain,
! [SV191: num,SV45: num] :
( ( ( ord_less_eq_num @ ( bit0 @ SV45 ) @ ( bit0 @ SV191 ) )
= $true )
| ( ( ord_less_eq_num @ SV45 @ SV191 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2353,plain,
! [SV191: num,SV45: num] :
( ( ( ord_less_eq_num @ SV45 @ SV191 )
= $true )
| ( ( ord_less_eq_num @ SV45 @ SV191 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2010]) ).
thf(2354,plain,
! [SV192: num,SV46: num] :
( ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= $true )
| ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2011]) ).
thf(2355,plain,
! [SV192: num,SV46: num] :
( ( ( SV46 = SV192 )
= $true )
| ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2356,plain,
! [SV192: num,SV46: num] :
( ( ( ( bit0 @ SV46 )
= ( bit0 @ SV192 ) )
= $true )
| ( ( SV46 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2013]) ).
thf(2357,plain,
! [SV192: num,SV46: num] :
( ( ( SV46 = SV192 )
= $true )
| ( ( SV46 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2358,plain,
! [SV193: num,SV47: num] :
( ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= $true )
| ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2359,plain,
! [SV193: num,SV47: num] :
( ( ( SV47 = SV193 )
= $true )
| ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2016]) ).
thf(2360,plain,
! [SV193: num,SV47: num] :
( ( ( ( bit0 @ SV47 )
= ( bit0 @ SV193 ) )
= $true )
| ( ( SV47 = SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2017]) ).
thf(2361,plain,
! [SV193: num,SV47: num] :
( ( ( SV47 = SV193 )
= $true )
| ( ( SV47 = SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2362,plain,
! [SV194: num,SV48: num] :
( ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= $true )
| ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(2363,plain,
! [SV194: num,SV48: num] :
( ( ( SV48 = SV194 )
= $true )
| ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2020]) ).
thf(2364,plain,
! [SV194: num,SV48: num] :
( ( ( ( numeral_numeral_int @ SV48 )
= ( numeral_numeral_int @ SV194 ) )
= $true )
| ( ( SV48 = SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2021]) ).
thf(2365,plain,
! [SV194: num,SV48: num] :
( ( ( SV48 = SV194 )
= $true )
| ( ( SV48 = SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2022]) ).
thf(2366,plain,
! [SV195: num,SV49: num] :
( ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= $true )
| ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2367,plain,
! [SV195: num,SV49: num] :
( ( ( SV49 = SV195 )
= $true )
| ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2368,plain,
! [SV195: num,SV49: num] :
( ( ( ( numeral_numeral_real @ SV49 )
= ( numeral_numeral_real @ SV195 ) )
= $true )
| ( ( SV49 = SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2369,plain,
! [SV195: num,SV49: num] :
( ( ( SV49 = SV195 )
= $true )
| ( ( SV49 = SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(2370,plain,
! [SV200: nat,SV72: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2087]) ).
thf(2371,plain,
! [SV200: nat,SV72: nat] :
( ( ( ord_less_eq_nat @ SV72 @ SV200 )
= $true )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2088]) ).
thf(2372,plain,
! [SV200: nat,SV72: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV72 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) @ ( power_power_nat @ SV200 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $true )
| ( ( ord_less_eq_nat @ SV72 @ SV200 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2373,plain,
! [SV200: nat,SV72: nat] :
( ( ( ord_less_eq_nat @ SV72 @ SV200 )
= $true )
| ( ( ord_less_eq_nat @ SV72 @ SV200 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2090]) ).
thf(2374,plain,
! [SV201: nat,SV77: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2091]) ).
thf(2375,plain,
! [SV201: nat,SV77: nat] :
( ( ( ord_less_eq_nat @ SV77 @ SV201 )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2092]) ).
thf(2376,plain,
! [SV201: nat,SV77: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV77 ) @ ( semiri2019852685at_int @ SV201 ) )
= $true )
| ( ( ord_less_eq_nat @ SV77 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2093]) ).
thf(2377,plain,
! [SV201: nat,SV77: nat] :
( ( ( ord_less_eq_nat @ SV77 @ SV201 )
= $true )
| ( ( ord_less_eq_nat @ SV77 @ SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2094]) ).
thf(2378,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2095]) ).
thf(2379,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2095]) ).
thf(2380,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( semiri2019852685at_int @ SV80 )
!= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $false )
| ( ( SV80
= ( power_power_nat @ SV202 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2096]) ).
thf(2381,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( SV80
!= ( power_power_nat @ SV202 @ SV256 ) )
= $false )
| ( ( SV80
= ( power_power_nat @ SV202 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2096]) ).
thf(2382,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
= $false )
| ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2097]) ).
thf(2383,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 )
= $false )
| ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2097]) ).
thf(2384,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
!= ( semiri2019852685at_int @ SV257 ) )
= $false )
| ( ( ( power_power_nat @ SV81 @ SV203 )
= SV257 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2385,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_nat @ SV81 @ SV203 )
!= SV257 )
= $false )
| ( ( ( power_power_nat @ SV81 @ SV203 )
= SV257 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2386,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2099]) ).
thf(2387,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2099]) ).
thf(2388,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2100]) ).
thf(2389,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2100]) ).
thf(2390,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2391,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) )
= $false )
| ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2392,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ~ ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2102]) ).
thf(2393,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ~ ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 ) )
= $false )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2102]) ).
thf(2394,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2395,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2396,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( semiri2019852685at_int @ SV85 )
!= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $false )
| ( ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2397,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( SV85
!= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $false )
| ( ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2398,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2105]) ).
thf(2399,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 )
= $false )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2105]) ).
thf(2400,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
!= ( semiri2019852685at_int @ SV261 ) )
= $false )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2106]) ).
thf(2401,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
!= SV261 )
= $false )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2106]) ).
thf(2402,plain,
! [SV209: nat,SV87: real] :
( ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= $true )
| ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2107]) ).
thf(2403,plain,
! [SV209: nat,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) )
= $true )
| ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2108]) ).
thf(2404,plain,
! [SV209: nat,SV87: real] :
( ( ( ord_less_eq_nat @ ( nat2 @ ( archim1371465213g_real @ SV87 ) ) @ SV209 )
= $true )
| ( ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2109]) ).
thf(2405,plain,
! [SV209: nat,SV87: real] :
( ( ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) )
= $true )
| ( ( ord_less_eq_real @ SV87 @ ( semiri2110766477t_real @ SV209 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2110]) ).
thf(2406,plain,
! [SV212: num,SV101: nat] :
( ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= $true )
| ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2127]) ).
thf(2407,plain,
! [SV212: num,SV101: nat] :
( ( ( SV101
= ( numeral_numeral_nat @ SV212 ) )
= $true )
| ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2128]) ).
thf(2408,plain,
! [SV212: num,SV101: nat] :
( ( ( ( semiri2019852685at_int @ SV101 )
= ( numeral_numeral_int @ SV212 ) )
= $true )
| ( ( SV101
= ( numeral_numeral_nat @ SV212 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2129]) ).
thf(2409,plain,
! [SV212: num,SV101: nat] :
( ( ( SV101
= ( numeral_numeral_nat @ SV212 ) )
= $true )
| ( ( SV101
= ( numeral_numeral_nat @ SV212 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2130]) ).
thf(2410,plain,
! [SV266: nat,SV213: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV213 @ SV266 )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV213 @ SV266 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2167]) ).
thf(2411,plain,
! [SV266: nat,SV213: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV213 @ SV266 )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2168]) ).
thf(2412,plain,
! [SV214: nat,SV115: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2169]) ).
thf(2413,plain,
! [SV214: nat,SV115: nat] :
( ( ( ord_less_eq_nat @ SV115 @ SV214 )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2170]) ).
thf(2414,plain,
! [SV214: nat,SV115: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV115 ) @ ( semiri2019852685at_int @ SV214 ) )
= $true )
| ( ( ord_less_eq_nat @ SV115 @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2171]) ).
thf(2415,plain,
! [SV214: nat,SV115: nat] :
( ( ( ord_less_eq_nat @ SV115 @ SV214 )
= $true )
| ( ( ord_less_eq_nat @ SV115 @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2172]) ).
thf(2416,plain,
! [SV215: nat,SV118: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= $true )
| ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(2417,plain,
! [SV215: nat,SV118: int] :
( ( ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) )
= $true )
| ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2174]) ).
thf(2418,plain,
! [SV215: nat,SV118: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV118 ) @ SV215 )
= $true )
| ( ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2175]) ).
thf(2419,plain,
! [SV215: nat,SV118: int] :
( ( ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) )
= $true )
| ( ( ord_less_eq_int @ SV118 @ ( semiri2019852685at_int @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2176]) ).
thf(2420,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( SV119 = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2421,plain,
! [SV119: $o] :
( ( $true = $true )
| ( SV119 = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2178]) ).
thf(2422,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( $true = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2179]) ).
thf(2423,plain,
! [SV119: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV119 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2424,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( SV119 = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2425,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( SV119 = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2426,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( $false = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2427,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2182]) ).
thf(2428,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2183]) ).
thf(2429,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2184]) ).
thf(2430,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2185]) ).
thf(2431,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2186]) ).
thf(2432,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2187]) ).
thf(2433,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2187]) ).
thf(2434,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2435,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2188]) ).
thf(2436,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2189]) ).
thf(2437,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2438,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2191]) ).
thf(2439,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2440,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2193]) ).
thf(2441,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2193]) ).
thf(2442,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2194]) ).
thf(2443,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2194]) ).
thf(2444,plain,
! [SV216: int,SV120: int] :
( ( ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
| ( SV120 = SV216 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
| ( SV120 != SV216 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2195]) ).
thf(2445,plain,
! [SV126: int,SV220: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
= $false )
| ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2196]) ).
thf(2446,plain,
! [SV126: int,SV220: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
| ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2447,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY418: nat] : ( SV222 @ SY418 ) )
= $false )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2198]) ).
thf(2448,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $false )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2198]) ).
thf(2449,plain,
! [SV222: nat > $o] :
( ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true )
| ( ( ~ ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2199]) ).
thf(2450,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $false )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2200]) ).
thf(2451,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( SV223 @ SV268 )
= $false )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2201]) ).
thf(2452,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV269 )
| ~ ( SV223 @ ( nat2 @ SV269 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2202]) ).
thf(2453,plain,
! [SV224: int,SV132: int] :
( ( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 = SV224 ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 != SV224 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2203]) ).
thf(2454,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
= ( nat2 @ SV227 ) )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2204]) ).
thf(2455,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2205]) ).
thf(2456,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2206]) ).
thf(2457,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
= SV228 )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2458,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2208]) ).
thf(2459,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2209]) ).
thf(2460,plain,
! [SV232: int,SV144: nat] :
( ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $true )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2211]) ).
thf(2461,plain,
! [SV232: int,SV144: nat] :
( ( ( ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
= $true )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2212]) ).
thf(2462,plain,
! [SV232: int,SV144: nat] :
( ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) )
= $true )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2213]) ).
thf(2463,plain,
! [SV152: real] :
( ( ( ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $false )
| ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(2464,plain,
! [SV267: int,SV152: real] :
( ( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
| ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $false )
| ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2216]) ).
thf(2465,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2218]) ).
thf(2466,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2467,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ ( ring_1_of_int_int @ SV236 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2220]) ).
thf(2468,plain,
! [SV236: int,SV155: nat,SV1: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV1 ) @ SV155 ) @ SV236 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2469,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= $true )
| ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2470,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 )
= $true )
| ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2471,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( numeral_numeral_real @ SV2 ) @ SV156 ) @ ( ring_1_of_int_real @ SV237 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2472,plain,
! [SV237: int,SV156: nat,SV2: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV2 ) @ SV156 ) @ SV237 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2473,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2474,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2475,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV3 ) @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $true )
| ( ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2228]) ).
thf(2476,plain,
! [SV238: nat,SV157: num,SV3: int] :
( ( ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $true )
| ( ( ord_less_eq_int @ SV3 @ ( power_power_int @ ( numeral_numeral_int @ SV157 ) @ SV238 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2229]) ).
thf(2477,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2230]) ).
thf(2478,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2231]) ).
thf(2479,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV4 ) @ ( power_power_real @ ( numeral_numeral_real @ SV158 ) @ SV239 ) )
= $true )
| ( ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2480,plain,
! [SV239: nat,SV158: num,SV4: int] :
( ( ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) )
= $true )
| ( ( ord_less_eq_int @ SV4 @ ( power_power_int @ ( numeral_numeral_int @ SV158 ) @ SV239 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2233]) ).
thf(2481,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2234]) ).
thf(2482,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2235]) ).
thf(2483,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= ( ring_1_of_int_int @ SV240 ) )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2236]) ).
thf(2484,plain,
! [SV240: int,SV160: nat,SV6: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV6 ) @ SV160 )
= SV240 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2237]) ).
thf(2485,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= $true )
| ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2238]) ).
thf(2486,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 )
= $true )
| ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2239]) ).
thf(2487,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_real @ ( numeral_numeral_real @ SV7 ) @ SV161 )
= ( ring_1_of_int_real @ SV241 ) )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2240]) ).
thf(2488,plain,
! [SV241: int,SV161: nat,SV7: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV7 ) @ SV161 )
= SV241 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2241]) ).
thf(2489,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $true )
| ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2242]) ).
thf(2490,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $true )
| ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2243]) ).
thf(2491,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( ( ring_1_of_int_int @ SV8 )
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $true )
| ( ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2244]) ).
thf(2492,plain,
! [SV242: nat,SV162: num,SV8: int] :
( ( ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $true )
| ( ( SV8
= ( power_power_int @ ( numeral_numeral_int @ SV162 ) @ SV242 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2245]) ).
thf(2493,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $true )
| ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2246]) ).
thf(2494,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $true )
| ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2247]) ).
thf(2495,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( ( ring_1_of_int_real @ SV9 )
= ( power_power_real @ ( numeral_numeral_real @ SV163 ) @ SV243 ) )
= $true )
| ( ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2496,plain,
! [SV243: nat,SV163: num,SV9: int] :
( ( ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $true )
| ( ( SV9
= ( power_power_int @ ( numeral_numeral_int @ SV163 ) @ SV243 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2249]) ).
thf(2497,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2250]) ).
thf(2498,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2251]) ).
thf(2499,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( ring_1_of_int_int @ SV10 ) @ SV164 ) @ ( ring_1_of_int_int @ SV244 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2500,plain,
! [SV244: int,SV164: nat,SV10: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ SV10 @ SV164 ) @ SV244 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2501,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= $true )
| ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2254]) ).
thf(2502,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 )
= $true )
| ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2255]) ).
thf(2503,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ord_less_eq_real @ ( power_power_real @ ( ring_1_of_int_real @ SV11 ) @ SV165 ) @ ( ring_1_of_int_real @ SV245 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2256]) ).
thf(2504,plain,
! [SV245: int,SV165: nat,SV11: int] :
( ( ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ SV11 @ SV165 ) @ SV245 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2257]) ).
thf(2505,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2258]) ).
thf(2506,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) )
= $true )
| ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2259]) ).
thf(2507,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ord_less_eq_int @ ( ring_1_of_int_int @ SV12 ) @ ( power_power_int @ ( ring_1_of_int_int @ SV166 ) @ SV246 ) )
= $true )
| ( ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2260]) ).
thf(2508,plain,
! [SV246: nat,SV166: int,SV12: int] :
( ( ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) )
= $true )
| ( ( ord_less_eq_int @ SV12 @ ( power_power_int @ SV166 @ SV246 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2261]) ).
thf(2509,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2510,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) )
= $true )
| ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2263]) ).
thf(2511,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ord_less_eq_real @ ( ring_1_of_int_real @ SV13 ) @ ( power_power_real @ ( ring_1_of_int_real @ SV167 ) @ SV247 ) )
= $true )
| ( ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2264]) ).
thf(2512,plain,
! [SV247: nat,SV167: int,SV13: int] :
( ( ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) )
= $true )
| ( ( ord_less_eq_int @ SV13 @ ( power_power_int @ SV167 @ SV247 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2265]) ).
thf(2513,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= $true )
| ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2286]) ).
thf(2514,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ SV21 @ SV175 )
= SV248 )
= $true )
| ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2287]) ).
thf(2515,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ ( ring_1_of_int_int @ SV21 ) @ SV175 )
= ( ring_1_of_int_int @ SV248 ) )
= $true )
| ( ( ( power_power_int @ SV21 @ SV175 )
= SV248 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2288]) ).
thf(2516,plain,
! [SV248: int,SV175: nat,SV21: int] :
( ( ( ( power_power_int @ SV21 @ SV175 )
= SV248 )
= $true )
| ( ( ( power_power_int @ SV21 @ SV175 )
= SV248 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2289]) ).
thf(2517,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= $true )
| ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2290]) ).
thf(2518,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_int @ SV22 @ SV176 )
= SV249 )
= $true )
| ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2519,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_real @ ( ring_1_of_int_real @ SV22 ) @ SV176 )
= ( ring_1_of_int_real @ SV249 ) )
= $true )
| ( ( ( power_power_int @ SV22 @ SV176 )
= SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2292]) ).
thf(2520,plain,
! [SV249: int,SV176: nat,SV22: int] :
( ( ( ( power_power_int @ SV22 @ SV176 )
= SV249 )
= $true )
| ( ( ( power_power_int @ SV22 @ SV176 )
= SV249 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2293]) ).
thf(2521,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $true )
| ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2314]) ).
thf(2522,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( SV33
= ( power_power_int @ SV182 @ SV250 ) )
= $true )
| ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2315]) ).
thf(2523,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( ( ring_1_of_int_int @ SV33 )
= ( power_power_int @ ( ring_1_of_int_int @ SV182 ) @ SV250 ) )
= $true )
| ( ( SV33
= ( power_power_int @ SV182 @ SV250 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2316]) ).
thf(2524,plain,
! [SV250: nat,SV182: int,SV33: int] :
( ( ( SV33
= ( power_power_int @ SV182 @ SV250 ) )
= $true )
| ( ( SV33
= ( power_power_int @ SV182 @ SV250 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2317]) ).
thf(2525,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $true )
| ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2318]) ).
thf(2526,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( SV34
= ( power_power_int @ SV183 @ SV251 ) )
= $true )
| ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2319]) ).
thf(2527,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( ( ring_1_of_int_real @ SV34 )
= ( power_power_real @ ( ring_1_of_int_real @ SV183 ) @ SV251 ) )
= $true )
| ( ( SV34
= ( power_power_int @ SV183 @ SV251 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2320]) ).
thf(2528,plain,
! [SV251: nat,SV183: int,SV34: int] :
( ( ( SV34
= ( power_power_int @ SV183 @ SV251 ) )
= $true )
| ( ( SV34
= ( power_power_int @ SV183 @ SV251 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2321]) ).
thf(2529,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= $true )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2322]) ).
thf(2530,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 )
= $true )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2323]) ).
thf(2531,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV35 ) @ SV184 )
= ( nat2 @ SV252 ) )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2324]) ).
thf(2532,plain,
! [SV252: int,SV184: nat,SV35: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV35 ) @ SV184 )
= SV252 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2325]) ).
thf(2533,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $true )
| ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2326]) ).
thf(2534,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $true )
| ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2327]) ).
thf(2535,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( ( nat2 @ SV36 )
= ( power_power_nat @ ( numeral_numeral_nat @ SV185 ) @ SV253 ) )
= $true )
| ( ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2328]) ).
thf(2536,plain,
! [SV253: nat,SV185: num,SV36: int] :
( ( ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $true )
| ( ( SV36
= ( power_power_int @ ( numeral_numeral_int @ SV185 ) @ SV253 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2329]) ).
thf(2537,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= $true )
| ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2538,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 )
= $true )
| ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2331]) ).
thf(2539,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ ( numeral_numeral_nat @ SV37 ) @ SV186 ) @ ( nat2 @ SV254 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2332]) ).
thf(2540,plain,
! [SV254: int,SV186: nat,SV37: num] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( numeral_numeral_int @ SV37 ) @ SV186 ) @ SV254 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2333]) ).
thf(2541,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= $true )
| ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2334]) ).
thf(2542,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) )
= $true )
| ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2335]) ).
thf(2543,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ord_less_eq_nat @ ( nat2 @ SV38 ) @ ( power_power_nat @ ( numeral_numeral_nat @ SV187 ) @ SV255 ) )
= $true )
| ( ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2336]) ).
thf(2544,plain,
! [SV255: nat,SV187: num,SV38: int] :
( ( ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) )
= $true )
| ( ( ord_less_eq_int @ SV38 @ ( power_power_int @ ( numeral_numeral_int @ SV187 ) @ SV255 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2337]) ).
thf(2545,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $true )
| ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2378]) ).
thf(2546,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( SV80
= ( power_power_nat @ SV202 @ SV256 ) )
= $true )
| ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2547,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( ( semiri2019852685at_int @ SV80 )
= ( power_power_int @ ( semiri2019852685at_int @ SV202 ) @ SV256 ) )
= $true )
| ( ( SV80
= ( power_power_nat @ SV202 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2380]) ).
thf(2548,plain,
! [SV256: nat,SV202: nat,SV80: nat] :
( ( ( SV80
= ( power_power_nat @ SV202 @ SV256 ) )
= $true )
| ( ( SV80
= ( power_power_nat @ SV202 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2381]) ).
thf(2549,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= $true )
| ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2382]) ).
thf(2550,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_nat @ SV81 @ SV203 )
= SV257 )
= $true )
| ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2383]) ).
thf(2551,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_int @ ( semiri2019852685at_int @ SV81 ) @ SV203 )
= ( semiri2019852685at_int @ SV257 ) )
= $true )
| ( ( ( power_power_nat @ SV81 @ SV203 )
= SV257 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2384]) ).
thf(2552,plain,
! [SV257: nat,SV203: nat,SV81: nat] :
( ( ( ( power_power_nat @ SV81 @ SV203 )
= SV257 )
= $true )
| ( ( ( power_power_nat @ SV81 @ SV203 )
= SV257 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2385]) ).
thf(2553,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2554,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2387]) ).
thf(2555,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV83 ) @ ( power_power_int @ ( semiri2019852685at_int @ SV205 ) @ SV258 ) )
= $true )
| ( ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2388]) ).
thf(2556,plain,
! [SV258: nat,SV205: nat,SV83: nat] :
( ( ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) )
= $true )
| ( ( ord_less_eq_nat @ SV83 @ ( power_power_nat @ SV205 @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2389]) ).
thf(2557,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2390]) ).
thf(2558,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 )
= $true )
| ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2391]) ).
thf(2559,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ord_less_eq_int @ ( power_power_int @ ( semiri2019852685at_int @ SV84 ) @ SV206 ) @ ( semiri2019852685at_int @ SV259 ) )
= $true )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2392]) ).
thf(2560,plain,
! [SV259: nat,SV206: nat,SV84: nat] :
( ( ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 )
= $true )
| ( ( ord_less_eq_nat @ ( power_power_nat @ SV84 @ SV206 ) @ SV259 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(2561,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $true )
| ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2394]) ).
thf(2562,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $true )
| ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2395]) ).
thf(2563,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( ( semiri2019852685at_int @ SV85 )
= ( power_power_int @ ( numeral_numeral_int @ SV207 ) @ SV260 ) )
= $true )
| ( ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2396]) ).
thf(2564,plain,
! [SV260: nat,SV207: num,SV85: nat] :
( ( ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $true )
| ( ( SV85
= ( power_power_nat @ ( numeral_numeral_nat @ SV207 ) @ SV260 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2565,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2566,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 )
= $true )
| ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2567,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_int @ ( numeral_numeral_int @ SV86 ) @ SV208 )
= ( semiri2019852685at_int @ SV261 ) )
= $true )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2400]) ).
thf(2568,plain,
! [SV261: nat,SV208: nat,SV86: num] :
( ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 )
= $true )
| ( ( ( power_power_nat @ ( numeral_numeral_nat @ SV86 ) @ SV208 )
= SV261 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2401]) ).
thf(2569,plain,
! [SV266: nat,SV213: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV213 @ SV266 ) )
= $false )
| ( ( ord_less_eq_nat @ SV213 @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2570,plain,
! [SV266: nat,SV213: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV213 @ SV266 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2571,plain,
! [SV266: nat,SV213: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV213 @ SV266 ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2572,plain,
! [SV266: nat,SV213: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2573,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false )
| ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2420]) ).
thf(2574,plain,
! [SV119: $o] :
( ( ( SV119 = $false )
= $true )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2420]) ).
thf(2575,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false )
| ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2421]) ).
thf(2576,plain,
! [SV119: $o] :
( ( ( SV119 = $false )
= $true )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2421]) ).
thf(2577,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false )
| ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2422]) ).
thf(2578,plain,
! [SV119: $o] :
( ( ( SV119 = $false )
= $true )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2422]) ).
thf(2579,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false )
| ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2423]) ).
thf(2580,plain,
! [SV119: $o] :
( ( ( SV119 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2423]) ).
thf(2581,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( SV119 = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2424]) ).
thf(2582,plain,
! [SV119: $o] :
( ( $false = $true )
| ( SV119 = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2583,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( $false = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2426]) ).
thf(2584,plain,
! [SV119: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV119 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2427]) ).
thf(2585,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2428]) ).
thf(2586,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2428]) ).
thf(2587,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2429]) ).
thf(2588,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2429]) ).
thf(2589,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2430]) ).
thf(2590,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2430]) ).
thf(2591,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2431]) ).
thf(2592,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2431]) ).
thf(2593,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2432]) ).
thf(2594,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2433]) ).
thf(2595,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2434]) ).
thf(2596,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2435]) ).
thf(2597,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2436]) ).
thf(2598,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2436]) ).
thf(2599,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2437]) ).
thf(2600,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2437]) ).
thf(2601,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2438]) ).
thf(2602,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2438]) ).
thf(2603,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2439]) ).
thf(2604,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2439]) ).
thf(2605,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2440]) ).
thf(2606,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2441]) ).
thf(2607,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2442]) ).
thf(2608,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2443]) ).
thf(2609,plain,
! [SV216: int,SV120: int] :
( ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
| ( SV120 != SV216 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2610,plain,
! [SV216: int,SV120: int] :
( ( ( SV120 = SV216 )
= $false )
| ( ( ~ ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
| ( SV120 != SV216 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2611,plain,
! [SV126: int,SV220: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) ) )
= $false )
| ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2612,plain,
! [SV126: int,SV220: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
= $false )
| ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2613,plain,
! [SV126: int,SV220: nat] :
( ( ( ~ ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2446]) ).
thf(2614,plain,
! [SV126: int,SV220: nat] :
( ( ( ~ ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 ) )
= $false )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2446]) ).
thf(2615,plain,
! [SV222: nat > $o] :
( ( ( ! [SY418: nat] : ( SV222 @ SY418 ) )
= $true )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2447]) ).
thf(2616,plain,
! [SV222: nat > $o] :
( ( ( ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $true )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2448]) ).
thf(2617,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY418: nat] : ( SV222 @ SY418 )
| ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2618,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY418: nat] : ( SV222 @ SY418 ) )
= $false )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2619,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $false )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2620,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2451]) ).
thf(2621,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV269 )
| ~ ( SV223 @ ( nat2 @ SV269 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2452]) ).
thf(2622,plain,
! [SV224: int,SV132: int] :
( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( ~ ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 != SV224 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2453]) ).
thf(2623,plain,
! [SV224: int,SV132: int] :
( ( ( SV132 = SV224 )
= $false )
| ( ( ~ ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 != SV224 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2453]) ).
thf(2624,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2625,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2626,plain,
! [SV137: nat,SV227: int] :
( ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2627,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2628,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2459]) ).
thf(2629,plain,
! [SV228: nat,SV138: int] :
( ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2459]) ).
thf(2630,plain,
! [SV232: int,SV144: nat] :
( ( ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2461]) ).
thf(2631,plain,
! [SV144: nat,SV232: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ~ ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2462]) ).
thf(2632,plain,
! [SV152: real] :
( ( ( SV152
!= ( ring_1_of_int_real @ ( sK8_SY386 @ SV152 ) ) )
= $false )
| ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2463]) ).
thf(2633,plain,
! [SV267: int,SV152: real] :
( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
!= SV152 )
= $false )
| ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2464]) ).
thf(2634,plain,
! [SV267: int,SV152: real] :
( ( ( ~ ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $false )
| ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2464]) ).
thf(2635,plain,
! [SV266: nat,SV213: nat] :
( ( ( ord_less_eq_nat @ SV213 @ SV266 )
= $true )
| ( ( ord_less_eq_nat @ SV213 @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2569]) ).
thf(2636,plain,
! [SV266: nat,SV213: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) )
= $true )
| ( ( ord_less_eq_nat @ SV213 @ SV266 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2570]) ).
thf(2637,plain,
! [SV266: nat,SV213: nat] :
( ( ( ord_less_eq_nat @ SV213 @ SV266 )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2638,plain,
! [SV266: nat,SV213: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV213 ) @ ( semiri2019852685at_int @ SV266 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2572]) ).
thf(2639,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false ) )
= $true )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2573]) ).
thf(2640,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false ) )
= $true )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2575]) ).
thf(2641,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false ) )
= $true )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2577]) ).
thf(2642,plain,
! [SV119: $o] :
( ( ( ~ ( SV119
| $false ) )
= $true )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2579]) ).
thf(2643,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2585]) ).
thf(2644,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2587]) ).
thf(2645,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2589]) ).
thf(2646,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2591]) ).
thf(2647,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2597]) ).
thf(2648,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2599]) ).
thf(2649,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2601]) ).
thf(2650,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2603]) ).
thf(2651,plain,
! [SV216: int,SV120: int] :
( ( ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
| ( SV120 != SV216 ) )
= $false )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2609]) ).
thf(2652,plain,
! [SV216: int,SV120: int] :
( ( ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
| ( SV120 != SV216 ) )
= $false )
| ( ( SV120 = SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2610]) ).
thf(2653,plain,
! [SV126: int,SV220: nat] :
( ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= $true )
| ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2611]) ).
thf(2654,plain,
! [SV126: int,SV220: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 )
= $true )
| ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2612]) ).
thf(2655,plain,
! [SV126: int,SV220: nat] :
( ( ( ord_less_eq_nat @ SV220 @ ( nat2 @ SV126 ) )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2613]) ).
thf(2656,plain,
! [SV126: int,SV220: nat] :
( ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 )
= $true )
| ( ( ord_less_eq_int @ ( semiri2019852685at_int @ SV220 ) @ SV126 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV126 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2614]) ).
thf(2657,plain,
! [SV270: nat,SV222: nat > $o] :
( ( ( SV222 @ SV270 )
= $true )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2615]) ).
thf(2658,plain,
! [SV222: nat > $o,SV271: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV271 )
| ( SV222 @ ( nat2 @ SV271 ) ) )
= $true )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2616]) ).
thf(2659,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY418: nat] : ( SV222 @ SY418 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2617]) ).
thf(2660,plain,
! [SV222: nat > $o] :
( ( ( ~ ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2617]) ).
thf(2661,plain,
! [SV222: nat > $o] :
( ( ( ! [SY418: nat] : ( SV222 @ SY418 ) )
= $true )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2618]) ).
thf(2662,plain,
! [SV222: nat > $o] :
( ( ( ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $true )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2619]) ).
thf(2663,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2664,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2665,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV269 ) )
= $true )
| ( ( ~ ( SV223 @ ( nat2 @ SV269 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2621]) ).
thf(2666,plain,
! [SV224: int,SV132: int] :
( ( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 != SV224 ) )
= $false )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2622]) ).
thf(2667,plain,
! [SV224: int,SV132: int] :
( ( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( SV132 != SV224 ) )
= $false )
| ( ( SV132 = SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2623]) ).
thf(2668,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) ) )
= $false )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2624]) ).
thf(2669,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2624]) ).
thf(2670,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2671,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2626]) ).
thf(2672,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) ) )
= $false )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2627]) ).
thf(2673,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2627]) ).
thf(2674,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2628]) ).
thf(2675,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2629]) ).
thf(2676,plain,
! [SV232: int,SV144: nat] :
( ( ( SV144
!= ( nat2 @ SV232 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2630]) ).
thf(2677,plain,
! [SV144: nat,SV232: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) )
= $false )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2630]) ).
thf(2678,plain,
! [SV232: int,SV144: nat] :
( ( ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
| ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
= $false )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2631]) ).
thf(2679,plain,
! [SV152: real] :
( ( ( SV152
= ( ring_1_of_int_real @ ( sK8_SY386 @ SV152 ) ) )
= $true )
| ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2632]) ).
thf(2680,plain,
! [SV267: int,SV152: real] :
( ( ( ( ring_1_of_int_real @ ( archim1371465213g_real @ SV152 ) )
= SV152 )
= $true )
| ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2681,plain,
! [SV267: int,SV152: real] :
( ( ( ~ ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $true )
| ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2634]) ).
thf(2682,plain,
! [SV119: $o] :
( ( ( SV119
| $false )
= $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2639]) ).
thf(2683,plain,
! [SV119: $o] :
( ( ( SV119
| $false )
= $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2640]) ).
thf(2684,plain,
! [SV119: $o] :
( ( ( SV119
| $false )
= $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2641]) ).
thf(2685,plain,
! [SV119: $o] :
( ( ( SV119
| $false )
= $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2642]) ).
thf(2686,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2643]) ).
thf(2687,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2644]) ).
thf(2688,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2645]) ).
thf(2689,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2646]) ).
thf(2690,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2647]) ).
thf(2691,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2648]) ).
thf(2692,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2649]) ).
thf(2693,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2650]) ).
thf(2694,plain,
! [SV216: int,SV120: int] :
( ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
= $false )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2651]) ).
thf(2695,plain,
! [SV216: int,SV120: int] :
( ( ( SV120 != SV216 )
= $false )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2651]) ).
thf(2696,plain,
! [SV216: int,SV120: int] :
( ( ( ( nat2 @ SV120 )
!= ( nat2 @ SV216 ) )
= $false )
| ( ( SV120 = SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2652]) ).
thf(2697,plain,
! [SV216: int,SV120: int] :
( ( ( SV120 != SV216 )
= $false )
| ( ( SV120 = SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2652]) ).
thf(2698,plain,
! [SV222: nat > $o,SV271: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV271 ) )
= $true )
| ( ( SV222 @ ( nat2 @ SV271 ) )
= $true )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2658]) ).
thf(2699,plain,
! [SV222: nat > $o] :
( ( ( ! [SY418: nat] : ( SV222 @ SY418 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2659]) ).
thf(2700,plain,
! [SV222: nat > $o] :
( ( ( ! [SY419: int] :
( ~ ( ord_less_eq_int @ zero_zero_int @ SY419 )
| ( SV222 @ ( nat2 @ SY419 ) ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2660]) ).
thf(2701,plain,
! [SV272: nat,SV222: nat > $o] :
( ( ( SV222 @ SV272 )
= $true )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2661]) ).
thf(2702,plain,
! [SV222: nat > $o,SV273: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV273 )
| ( SV222 @ ( nat2 @ SV273 ) ) )
= $true )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2662]) ).
thf(2703,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ~ ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= $true )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2663]) ).
thf(2704,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $true )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2664]) ).
thf(2705,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( ~ ( SV223 @ ( nat2 @ SV269 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2665]) ).
thf(2706,plain,
! [SV224: int,SV132: int] :
( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2707,plain,
! [SV224: int,SV132: int] :
( ( ( SV132 != SV224 )
= $false )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2666]) ).
thf(2708,plain,
! [SV224: int,SV132: int] :
( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
!= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( SV132 = SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2709,plain,
! [SV224: int,SV132: int] :
( ( ( SV132 != SV224 )
= $false )
| ( ( SV132 = SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2710,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2668]) ).
thf(2711,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2669]) ).
thf(2712,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2670]) ).
thf(2713,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2671]) ).
thf(2714,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137 = zero_zero_nat )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2671]) ).
thf(2715,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2672]) ).
thf(2716,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2673]) ).
thf(2717,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2674]) ).
thf(2718,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2675]) ).
thf(2719,plain,
! [SV138: int,SV228: nat] :
( ( ( SV228 = zero_zero_nat )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2675]) ).
thf(2720,plain,
! [SV232: int,SV144: nat] :
( ( ( SV144
= ( nat2 @ SV232 ) )
= $true )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2676]) ).
thf(2721,plain,
! [SV144: nat,SV232: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $true )
| ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2677]) ).
thf(2722,plain,
! [SV232: int,SV144: nat] :
( ( ( ( semiri2019852685at_int @ SV144 )
!= SV232 )
= $false )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2678]) ).
thf(2723,plain,
! [SV232: int,SV144: nat] :
( ( ( ~ ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
= $false )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2678]) ).
thf(2724,plain,
! [SV267: int,SV152: real] :
( ( ( ! [SY386: int] :
( SV152
!= ( ring_1_of_int_real @ SY386 ) ) )
= $false )
| ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2681]) ).
thf(2725,plain,
! [SV119: $o] :
( ( SV119 = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2682]) ).
thf(2726,plain,
! [SV119: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2682]) ).
thf(2727,plain,
! [SV119: $o] :
( ( SV119 = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2683]) ).
thf(2728,plain,
! [SV119: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2683]) ).
thf(2729,plain,
! [SV119: $o] :
( ( SV119 = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2684]) ).
thf(2730,plain,
! [SV119: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2684]) ).
thf(2731,plain,
! [SV119: $o] :
( ( SV119 = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2685]) ).
thf(2732,plain,
! [SV119: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV119
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2685]) ).
thf(2733,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2686]) ).
thf(2734,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2686]) ).
thf(2735,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2687]) ).
thf(2736,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2687]) ).
thf(2737,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2688]) ).
thf(2738,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2688]) ).
thf(2739,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2689]) ).
thf(2740,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2689]) ).
thf(2741,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2690]) ).
thf(2742,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2690]) ).
thf(2743,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2691]) ).
thf(2744,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2691]) ).
thf(2745,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2692]) ).
thf(2746,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2692]) ).
thf(2747,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2693]) ).
thf(2748,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2693]) ).
thf(2749,plain,
! [SV216: int,SV120: int] :
( ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= $true )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2694]) ).
thf(2750,plain,
! [SV216: int,SV120: int] :
( ( ( SV120 = SV216 )
= $true )
| ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2695]) ).
thf(2751,plain,
! [SV216: int,SV120: int] :
( ( ( ( nat2 @ SV120 )
= ( nat2 @ SV216 ) )
= $true )
| ( ( SV120 = SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2696]) ).
thf(2752,plain,
! [SV216: int,SV120: int] :
( ( ( SV120 = SV216 )
= $true )
| ( ( SV120 = SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV216 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2697]) ).
thf(2753,plain,
! [SV222: nat > $o,SV271: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV271 )
= $false )
| ( ( SV222 @ ( nat2 @ SV271 ) )
= $true )
| ( ( SV222 @ ( sK6_SY418 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2698]) ).
thf(2754,plain,
! [SV274: nat,SV222: nat > $o] :
( ( ( SV222 @ SV274 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2699]) ).
thf(2755,plain,
! [SV222: nat > $o,SV275: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV275 )
| ( SV222 @ ( nat2 @ SV275 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2700]) ).
thf(2756,plain,
! [SV222: nat > $o,SV273: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV273 ) )
= $true )
| ( ( SV222 @ ( nat2 @ SV273 ) )
= $true )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2702]) ).
thf(2757,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2703]) ).
thf(2758,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2704]) ).
thf(2759,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( SV223 @ ( nat2 @ SV269 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( ~ ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2705]) ).
thf(2760,plain,
! [SV224: int,SV132: int] :
( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $true )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2706]) ).
thf(2761,plain,
! [SV224: int,SV132: int] :
( ( ( SV132 = SV224 )
= $true )
| ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2707]) ).
thf(2762,plain,
! [SV224: int,SV132: int] :
( ( ( ( power_power_int @ SV132 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( power_power_int @ SV224 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
= $true )
| ( ( SV132 = SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2708]) ).
thf(2763,plain,
! [SV224: int,SV132: int] :
( ( ( SV132 = SV224 )
= $true )
| ( ( SV132 = SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV224 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2709]) ).
thf(2764,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2710]) ).
thf(2765,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2711]) ).
thf(2766,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2767,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137 = zero_zero_nat )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2712]) ).
thf(2768,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2713]) ).
thf(2769,plain,
! [SV227: int,SV137: nat] :
( ( ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2714]) ).
thf(2770,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2715]) ).
thf(2771,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2716]) ).
thf(2772,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2717]) ).
thf(2773,plain,
! [SV138: int,SV228: nat] :
( ( ( SV228 = zero_zero_nat )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2717]) ).
thf(2774,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2718]) ).
thf(2775,plain,
! [SV228: nat,SV138: int] :
( ( ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2719]) ).
thf(2776,plain,
! [SV232: int,SV144: nat] :
( ( ( ( semiri2019852685at_int @ SV144 )
= SV232 )
= $true )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2722]) ).
thf(2777,plain,
! [SV232: int,SV144: nat] :
( ( ( ~ ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) ) )
= $true )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2723]) ).
thf(2778,plain,
! [SV267: int,SV152: real] :
( ( ( SV152
!= ( ring_1_of_int_real @ ( sK9_SY386 @ SV267 @ SV152 ) ) )
= $false )
| ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2724]) ).
thf(2779,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( SV119 = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(2780,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( $false = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(2781,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( SV119 = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2727]) ).
thf(2782,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( $false = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2783,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( SV119 = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2729]) ).
thf(2784,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2730]) ).
thf(2785,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( SV119 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2731]) ).
thf(2786,plain,
! [SV119: $o] :
( ( ( ~ SV119
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2732]) ).
thf(2787,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(2788,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2734]) ).
thf(2789,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(2790,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2736]) ).
thf(2791,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2737]) ).
thf(2792,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2738]) ).
thf(2793,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2794,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2740]) ).
thf(2795,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2741]) ).
thf(2796,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2742]) ).
thf(2797,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2743]) ).
thf(2798,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2744]) ).
thf(2799,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2745]) ).
thf(2800,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2746]) ).
thf(2801,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2747]) ).
thf(2802,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2748]) ).
thf(2803,plain,
! [SV222: nat > $o,SV275: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV275 ) )
= $true )
| ( ( SV222 @ ( nat2 @ SV275 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2755]) ).
thf(2804,plain,
! [SV222: nat > $o,SV273: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV273 )
= $false )
| ( ( SV222 @ ( nat2 @ SV273 ) )
= $true )
| ( ( SV222 @ ( nat2 @ ( sK7_SY419 @ SV222 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2756]) ).
thf(2805,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ~ ( SV223 @ ( sK10_SY420 @ SV268 @ SV223 ) ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2757]) ).
thf(2806,plain,
! [SV223: nat > $o,SV268: nat] :
( ( ( ~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK11_SY421 @ SV268 @ SV223 ) )
| ~ ( SV223 @ ( nat2 @ ( sK11_SY421 @ SV268 @ SV223 ) ) ) ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2758]) ).
thf(2807,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 )
| ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2759]) ).
thf(2808,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2764]) ).
thf(2809,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2765]) ).
thf(2810,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2766]) ).
thf(2811,plain,
! [SV227: int,SV137: nat] :
( ( ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2767]) ).
thf(2812,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2768]) ).
thf(2813,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
!= ( nat2 @ SV227 ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2769]) ).
thf(2814,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2769]) ).
thf(2815,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2770]) ).
thf(2816,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2771]) ).
thf(2817,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2772]) ).
thf(2818,plain,
! [SV228: nat,SV138: int] :
( ( ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2773]) ).
thf(2819,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2774]) ).
thf(2820,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
!= SV228 )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2775]) ).
thf(2821,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2775]) ).
thf(2822,plain,
! [SV232: int,SV144: nat] :
( ( ( ( SV144
!= ( nat2 @ SV232 ) )
| ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) )
= $false )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2777]) ).
thf(2823,plain,
! [SV267: int,SV152: real] :
( ( ( SV152
= ( ring_1_of_int_real @ ( sK9_SY386 @ SV267 @ SV152 ) ) )
= $true )
| ( ( SV152
= ( ring_1_of_int_real @ SV267 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2778]) ).
thf(2824,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( SV119 = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2779]) ).
thf(2825,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( SV119 = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2779]) ).
thf(2826,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( $false = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2780]) ).
thf(2827,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2780]) ).
thf(2828,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( SV119 = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2781]) ).
thf(2829,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( SV119 = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2781]) ).
thf(2830,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( $false = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2782]) ).
thf(2831,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2782]) ).
thf(2832,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( SV119 = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2783]) ).
thf(2833,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( SV119 = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2783]) ).
thf(2834,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2784]) ).
thf(2835,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2784]) ).
thf(2836,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( SV119 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2785]) ).
thf(2837,plain,
! [SV119: $o] :
( ( ( ~ $false ) = $false )
| ( SV119 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2785]) ).
thf(2838,plain,
! [SV119: $o] :
( ( ( ~ SV119 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2786]) ).
thf(2839,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2786]) ).
thf(2840,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2787]) ).
thf(2841,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2787]) ).
thf(2842,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2788]) ).
thf(2843,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2788]) ).
thf(2844,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2789]) ).
thf(2845,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2789]) ).
thf(2846,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2790]) ).
thf(2847,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2790]) ).
thf(2848,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2791]) ).
thf(2849,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2791]) ).
thf(2850,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2792]) ).
thf(2851,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2792]) ).
thf(2852,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2793]) ).
thf(2853,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2793]) ).
thf(2854,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2794]) ).
thf(2855,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2794]) ).
thf(2856,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2795]) ).
thf(2857,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2795]) ).
thf(2858,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2796]) ).
thf(2859,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2796]) ).
thf(2860,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2797]) ).
thf(2861,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2797]) ).
thf(2862,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2798]) ).
thf(2863,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2798]) ).
thf(2864,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2799]) ).
thf(2865,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2799]) ).
thf(2866,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2867,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2800]) ).
thf(2868,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2801]) ).
thf(2869,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2801]) ).
thf(2870,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2802]) ).
thf(2871,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2802]) ).
thf(2872,plain,
! [SV222: nat > $o,SV275: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV275 )
= $false )
| ( ( SV222 @ ( nat2 @ SV275 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ ( sK7_SY419 @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(2873,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( SV223 @ ( sK10_SY420 @ SV268 @ SV223 ) )
= $true )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2805]) ).
thf(2874,plain,
! [SV223: nat > $o,SV268: nat] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK11_SY421 @ SV268 @ SV223 ) )
| ~ ( SV223 @ ( nat2 @ ( sK11_SY421 @ SV268 @ SV223 ) ) ) ) )
= $true )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2806]) ).
thf(2875,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ~ ~ ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2807]) ).
thf(2876,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ~ ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2807]) ).
thf(2877,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV137
= ( nat2 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2809]) ).
thf(2878,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ~ ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2810]) ).
thf(2879,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
!= ( nat2 @ SV227 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2811]) ).
thf(2880,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2811]) ).
thf(2881,plain,
! [SV227: int,SV137: nat] :
( ( ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2812]) ).
thf(2882,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
= ( nat2 @ SV227 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2813]) ).
thf(2883,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2814]) ).
thf(2884,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ( nat2 @ SV138 )
= SV228 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2816]) ).
thf(2885,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ~ ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2817]) ).
thf(2886,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
!= SV228 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2818]) ).
thf(2887,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2818]) ).
thf(2888,plain,
! [SV228: nat,SV138: int] :
( ( ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2819]) ).
thf(2889,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
= SV228 )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2820]) ).
thf(2890,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2821]) ).
thf(2891,plain,
! [SV232: int,SV144: nat] :
( ( ( SV144
!= ( nat2 @ SV232 ) )
= $false )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2822]) ).
thf(2892,plain,
! [SV144: nat,SV232: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV232 ) )
= $false )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2822]) ).
thf(2893,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( SV119 = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2824]) ).
thf(2894,plain,
! [SV119: $o] :
( ( $false = $true )
| ( SV119 = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2825]) ).
thf(2895,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( $false = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2826]) ).
thf(2896,plain,
! [SV119: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV119 = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2827]) ).
thf(2897,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( SV119 = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2828]) ).
thf(2898,plain,
! [SV119: $o] :
( ( $false = $true )
| ( SV119 = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2829]) ).
thf(2899,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( $false = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2830]) ).
thf(2900,plain,
! [SV119: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV119 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2831]) ).
thf(2901,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( SV119 = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2832]) ).
thf(2902,plain,
! [SV119: $o] :
( ( $false = $true )
| ( SV119 = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2833]) ).
thf(2903,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2834]) ).
thf(2904,plain,
! [SV119: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV119 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2835]) ).
thf(2905,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( SV119 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2836]) ).
thf(2906,plain,
! [SV119: $o] :
( ( $false = $true )
| ( SV119 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2837]) ).
thf(2907,plain,
! [SV119: $o] :
( ( SV119 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2838]) ).
thf(2908,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2839]) ).
thf(2909,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2840]) ).
thf(2910,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2841]) ).
thf(2911,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2842]) ).
thf(2912,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2843]) ).
thf(2913,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2844]) ).
thf(2914,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2845]) ).
thf(2915,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2846]) ).
thf(2916,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2847]) ).
thf(2917,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2848]) ).
thf(2918,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2849]) ).
thf(2919,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2850]) ).
thf(2920,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2851]) ).
thf(2921,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2852]) ).
thf(2922,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2853]) ).
thf(2923,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2854]) ).
thf(2924,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2855]) ).
thf(2925,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2856]) ).
thf(2926,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2857]) ).
thf(2927,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2858]) ).
thf(2928,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2859]) ).
thf(2929,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2860]) ).
thf(2930,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2861]) ).
thf(2931,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2862]) ).
thf(2932,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2863]) ).
thf(2933,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2864]) ).
thf(2934,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2865]) ).
thf(2935,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2866]) ).
thf(2936,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2867]) ).
thf(2937,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2868]) ).
thf(2938,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2869]) ).
thf(2939,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2870]) ).
thf(2940,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2871]) ).
thf(2941,plain,
! [SV223: nat > $o,SV268: nat] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK11_SY421 @ SV268 @ SV223 ) )
| ~ ( SV223 @ ( nat2 @ ( sK11_SY421 @ SV268 @ SV223 ) ) ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(2942,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ~ ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2875]) ).
thf(2943,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ~ ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2876]) ).
thf(2944,plain,
! [SV227: int,SV137: nat] :
( ( ( ( SV137
!= ( nat2 @ SV227 ) )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2878]) ).
thf(2945,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
= ( nat2 @ SV227 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2879]) ).
thf(2946,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2880]) ).
thf(2947,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
!= ( nat2 @ SV227 ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2881]) ).
thf(2948,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2881]) ).
thf(2949,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2883]) ).
thf(2950,plain,
! [SV228: nat,SV138: int] :
( ( ( ( ( nat2 @ SV138 )
!= SV228 )
| ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2885]) ).
thf(2951,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
= SV228 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2886]) ).
thf(2952,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2887]) ).
thf(2953,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
!= SV228 )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2888]) ).
thf(2954,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2888]) ).
thf(2955,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2890]) ).
thf(2956,plain,
! [SV232: int,SV144: nat] :
( ( ( SV144
= ( nat2 @ SV232 ) )
= $true )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2891]) ).
thf(2957,plain,
! [SV144: nat,SV232: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $true )
| ( ( SV144
= ( nat2 @ SV232 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2892]) ).
thf(2958,plain,
! [SV223: nat > $o,SV268: nat] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK11_SY421 @ SV268 @ SV223 ) ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2941]) ).
thf(2959,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( ~ ( SV223 @ ( nat2 @ ( sK11_SY421 @ SV268 @ SV223 ) ) ) )
= $false )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2941]) ).
thf(2960,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ! [SY420: nat] :
~ ( SV223 @ SY420 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2942]) ).
thf(2961,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ! [SY421: int] :
~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SY421 )
| ~ ( SV223 @ ( nat2 @ SY421 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(2962,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
!= ( nat2 @ SV227 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2944]) ).
thf(2963,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2944]) ).
thf(2964,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2946]) ).
thf(2965,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
= ( nat2 @ SV227 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2947]) ).
thf(2966,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2948]) ).
thf(2967,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2949]) ).
thf(2968,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2949]) ).
thf(2969,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
!= SV228 )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2950]) ).
thf(2970,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2950]) ).
thf(2971,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2952]) ).
thf(2972,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
= SV228 )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2953]) ).
thf(2973,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2954]) ).
thf(2974,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2955]) ).
thf(2975,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2955]) ).
thf(2976,plain,
! [SV223: nat > $o,SV268: nat] :
( ( ( ord_less_eq_int @ zero_zero_int @ ( sK11_SY421 @ SV268 @ SV223 ) )
= $true )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2958]) ).
thf(2977,plain,
! [SV268: nat,SV223: nat > $o] :
( ( ( SV223 @ ( nat2 @ ( sK11_SY421 @ SV268 @ SV223 ) ) )
= $true )
| ( ( SV223 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2959]) ).
thf(2978,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ~ ( SV223 @ ( sK12_SY420 @ SV269 @ SV223 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2960]) ).
thf(2979,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ~ ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK13_SY421 @ SV269 @ SV223 ) )
| ~ ( SV223 @ ( nat2 @ ( sK13_SY421 @ SV269 @ SV223 ) ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2961]) ).
thf(2980,plain,
! [SV227: int,SV137: nat] :
( ( ( SV137
= ( nat2 @ SV227 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2962]) ).
thf(2981,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2963]) ).
thf(2982,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2964]) ).
thf(2983,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2964]) ).
thf(2984,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(2985,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2967]) ).
thf(2986,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2968]) ).
thf(2987,plain,
! [SV228: nat,SV138: int] :
( ( ( ( nat2 @ SV138 )
= SV228 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2969]) ).
thf(2988,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2970]) ).
thf(2989,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(2990,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(2991,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(2992,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2974]) ).
thf(2993,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2975]) ).
thf(2994,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( SV223 @ ( sK12_SY420 @ SV269 @ SV223 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2978]) ).
thf(2995,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK13_SY421 @ SV269 @ SV223 ) )
| ~ ( SV223 @ ( nat2 @ ( sK13_SY421 @ SV269 @ SV223 ) ) ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2979]) ).
thf(2996,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2981]) ).
thf(2997,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2982]) ).
thf(2998,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2983]) ).
thf(2999,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3000,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2984]) ).
thf(3001,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2985]) ).
thf(3002,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2986]) ).
thf(3003,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
| ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2988]) ).
thf(3004,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2989]) ).
thf(3005,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2990]) ).
thf(3006,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2991]) ).
thf(3007,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2991]) ).
thf(3008,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2992]) ).
thf(3009,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2993]) ).
thf(3010,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK13_SY421 @ SV269 @ SV223 ) )
| ~ ( SV223 @ ( nat2 @ ( sK13_SY421 @ SV269 @ SV223 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3011,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2996]) ).
thf(3012,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2996]) ).
thf(3013,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2997]) ).
thf(3014,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2998]) ).
thf(3015,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2999]) ).
thf(3016,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3000]) ).
thf(3017,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3018,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3019,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3003]) ).
thf(3020,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3003]) ).
thf(3021,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3004]) ).
thf(3022,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3005]) ).
thf(3023,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3006]) ).
thf(3024,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3007]) ).
thf(3025,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3026,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3009]) ).
thf(3027,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ ( sK13_SY421 @ SV269 @ SV223 ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3010]) ).
thf(3028,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( ~ ( SV223 @ ( nat2 @ ( sK13_SY421 @ SV269 @ SV223 ) ) ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3010]) ).
thf(3029,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV227
= ( semiri2019852685at_int @ SV137 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3011]) ).
thf(3030,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 )
| ( SV137 = zero_zero_nat ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3012]) ).
thf(3031,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3013]) ).
thf(3032,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3014]) ).
thf(3033,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3015]) ).
thf(3034,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3016]) ).
thf(3035,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3018]) ).
thf(3036,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV138
= ( semiri2019852685at_int @ SV228 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3019]) ).
thf(3037,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 )
| ( SV228 = zero_zero_nat ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3020]) ).
thf(3038,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3039,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3022]) ).
thf(3040,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3023]) ).
thf(3041,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3042,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3026]) ).
thf(3043,plain,
! [SV223: nat > $o,SV269: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ ( sK13_SY421 @ SV269 @ SV223 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3027]) ).
thf(3044,plain,
! [SV269: int,SV223: nat > $o] :
( ( ( SV223 @ ( nat2 @ ( sK13_SY421 @ SV269 @ SV223 ) ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV269 )
= $false )
| ( ( SV223 @ ( nat2 @ SV269 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3028]) ).
thf(3045,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3029]) ).
thf(3046,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3030]) ).
thf(3047,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3032]) ).
thf(3048,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3049,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3034]) ).
thf(3050,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3036]) ).
thf(3051,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3037]) ).
thf(3052,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3039]) ).
thf(3053,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3054,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3041]) ).
thf(3055,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3056,plain,
! [SV137: nat,SV227: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV227 ) )
= $false )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3046]) ).
thf(3057,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( SV227
= ( semiri2019852685at_int @ SV137 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3049]) ).
thf(3058,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3050]) ).
thf(3059,plain,
! [SV228: nat,SV138: int] :
( ( ( ~ ( ord_less_eq_int @ zero_zero_int @ SV138 ) )
= $false )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3051]) ).
thf(3060,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( SV138
= ( semiri2019852685at_int @ SV228 ) )
= $false )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3054]) ).
thf(3061,plain,
! [SV137: nat,SV227: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( SV137 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3056]) ).
thf(3062,plain,
! [SV228: nat,SV138: int] :
( ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( SV228 = zero_zero_nat )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $true )
| ( ( ord_less_eq_int @ zero_zero_int @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3059]) ).
thf(3063,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[583,3062,3061,3060,3058,3057,3055,3053,3052,3048,3047,3044,3043,3042,3038,3035,3031,3025,3017,2994,2987,2980,2977,2976,2972,2965,2957,2956,2951,2945,2940,2939,2938,2937,2936,2935,2934,2933,2932,2931,2930,2929,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915,2914,2913,2912,2911,2910,2909,2908,2907,2906,2905,2904,2903,2902,2901,2900,2899,2898,2897,2896,2895,2894,2893,2889,2884,2882,2877,2873,2872,2823,2815,2808,2804,2776,2763,2762,2761,2760,2754,2753,2752,2751,2750,2749,2721,2720,2701,2680,2679,2657,2656,2655,2654,2653,2638,2637,2636,2635,2608,2607,2606,2605,2604,2602,2600,2598,2596,2595,2594,2593,2592,2590,2588,2586,2584,2583,2582,2581,2580,2578,2576,2574,2568,2567,2566,2565,2564,2563,2562,2561,2560,2559,2558,2557,2556,2555,2554,2553,2552,2551,2550,2549,2548,2547,2546,2545,2544,2543,2542,2541,2540,2539,2538,2537,2536,2535,2534,2533,2532,2531,2530,2529,2528,2527,2526,2525,2524,2523,2522,2521,2520,2519,2518,2517,2516,2515,2514,2513,2512,2511,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2500,2499,2498,2497,2496,2495,2494,2493,2492,2491,2490,2489,2488,2487,2486,2485,2484,2483,2482,2481,2480,2479,2478,2477,2476,2475,2474,2473,2472,2471,2470,2469,2468,2467,2466,2465,2460,2457,2454,2419,2418,2417,2416,2415,2414,2413,2412,2409,2408,2407,2406,2405,2404,2403,2402,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2367,2366,2365,2364,2363,2362,2361,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2341,2340,2339,2338,2313,2312,2311,2310,2309,2308,2307,2306,2305,2304,2303,2302,2301,2300,2299,2298,2297,2296,2295,2294,2285,2284,2283,2282,2281,2280,2279,2278,2277,2276,2275,2274,2273,2272,2271,2270,2269,2268,2267,2266,2217,2214,2210,2166,2165,2164,2163,2162,2161,2160,2159,2158,2157,2156,2155,2154,2153,2152,2151,2150,2149,2148,2147,2146,2145,2144,2143,2142,2141,2140,2139,2138,2137,2136,2135,2134,2133,2132,2131,2126,2125,2124,2123,2122,2121,2120,2119,2118,2117,2116,2115,2114,2113,2112,2111,2086,2085,2084,2083,2082,2081,2080,2079,2078,2077,2076,2075,2074,2073,2072,2071,2070,2069,2068,2067,2066,2065,2064,2063,2062,2061,2060,2059,2058,2057,2056,2055,2054,2053,2052,2051,2050,2049,2048,2047,2046,2045,2044,2043,2042,2041,2040,2039,2038,2037,2036,2035,2034,2033,2032,2031,2030,2029,2028,2027,1910,1902,1896,1894,1893,1662,1661,1657,1652,1643,1585,1484,1471,1362,1361,1355,1353,1350,1349,1340,1339,1338,1336,1333,1330,1309,1307,1305,1303,1301,1299,1295,1270,1268,1266,1264,1262,1260,1253,1251,1244,1242,1240,1238,1236,1234,1232,1230,1228,1226,1224,1222,1217,1213,1211,1209,1204,1202,1196,1194,1193,1177,1175,1173,1162,1156,1148,1146,1127,1125,1123,1121,1119,1117,1115,1113,1105,1103,1101,1099,1097,1093,1091,1089,1087,1085,1070,1069,1065,1052,1043,1040,1029,1027,1025,1023,1021,1019,1017,1015,1013,1010,1008,1006,1004,1002,1001,995,990,989,987,984,982,980,978,976,974,972,970,968,966,964,962,960,958,949,934,933,919,891,888,877,872,871,869,858,857,856,854,853,851,847,846,843,842,833,832,830,829,828,827,824,821,818,817,797,792,785,782,781,778,777,707,703,699,678,671,668,666,661,660,659,658,657,649,647,641,626,625,618,617,616,613,599,598,590,589]) ).
thf(3064,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP097^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.18 % Computer : n004.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 11:17:24 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.27/6.47 ..
% 37.27/6.47
% 37.27/6.47 No.of.Axioms: 180
% 37.27/6.47
% 37.27/6.47 Length.of.Defs: 0
% 37.27/6.47
% 37.27/6.47 Contains.Choice.Funs: false
% 37.27/6.47 .....................................................
% 37.27/6.47
% 37.27/6.47 ********************************
% 37.27/6.47 * All subproblems solved! *
% 37.27/6.47 ********************************
% 37.27/6.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:180,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3063,loop_count:0,foatp_calls:1,translation:fof_full)
% 37.27/6.47
% 37.27/6.47 %**** Beginning of derivation protocol ****
% 37.27/6.47 % SZS output start CNFRefutation
% See solution above
% 37.27/6.49
% 37.27/6.49 %**** End of derivation protocol ****
% 37.27/6.49 %**** no. of clauses in derivation: 2891 ****
% 37.27/6.49 %**** clause counter: 3063 ****
% 37.27/6.49
% 37.27/6.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:180,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:3063,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------